%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP333-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:20:30 AM UTC 2026 % Result : Unsatisfiable 15.96s 16.23s % Output : Proof 15.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP333-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 01:02:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.85/16.11 --- Run --no-e-matching --full-saturate-quant at 6... % 15.96/16.23 % SZS status Unsatisfiable % 15.96/16.23 % SZS output start Proof % 15.96/16.25 ( % 15.96/16.25 (declare-sort $$unsorted 0) % 15.96/16.25 (declare-const tptp.sk_c1 $$unsorted) % 15.96/16.25 (declare-const tptp.sk_c3 $$unsorted) % 15.96/16.25 (declare-const tptp.sk_c6 $$unsorted) % 15.96/16.25 (declare-const tptp.sk_c7 $$unsorted) % 15.96/16.25 (declare-const tptp.sk_c2 $$unsorted) % 15.96/16.25 (declare-const tptp.sk_c4 $$unsorted) % 15.96/16.25 (declare-const tptp.sk_c5 $$unsorted) % 15.96/16.25 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.96/16.25 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.96/16.25 (declare-const tptp.identity $$unsorted) % 15.96/16.25 (define @t1 () (@var "X" $$unsorted)) % 15.96/16.25 (define @t2 () (tptp.multiply tptp.identity @t1)) % 15.96/16.25 (define @t3 () (@list @t1)) % 15.96/16.25 (define @t4 () (forall @t3 (= @t2 @t1))) % 15.96/16.25 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 15.96/16.25 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 15.96/16.25 (define @t7 () (@var "Z" $$unsorted)) % 15.96/16.25 (define @t8 () (@var "Y" $$unsorted)) % 15.96/16.25 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 15.96/16.25 (define @t10 () (tptp.multiply tptp.sk_c6 tptp.sk_c7)) % 15.96/16.25 (define @t11 () (= @t10 tptp.sk_c5)) % 15.96/16.25 (define @t12 () (tptp.multiply tptp.sk_c3 tptp.sk_c7)) % 15.96/16.25 (define @t13 () (= @t12 tptp.sk_c6)) % 15.96/16.25 (define @t14 () (tptp.multiply tptp.sk_c1 tptp.sk_c6)) % 15.96/16.25 (define @t15 () (= @t14 tptp.sk_c7)) % 15.96/16.25 (define @t16 () (or @t15 @t13)) % 15.96/16.25 (define @t17 () (tptp.inverse tptp.sk_c3)) % 15.96/16.25 (define @t18 () (= @t17 tptp.sk_c7)) % 15.96/16.25 (define @t19 () (or @t15 @t18)) % 15.96/16.25 (define @t20 () (tptp.multiply tptp.sk_c4 tptp.sk_c6)) % 15.96/16.25 (define @t21 () (= @t20 tptp.sk_c5)) % 15.96/16.25 (define @t22 () (or @t15 @t21)) % 15.96/16.25 (define @t23 () (tptp.inverse tptp.sk_c4)) % 15.96/16.25 (define @t24 () (= @t23 tptp.sk_c6)) % 15.96/16.25 (define @t25 () (or @t15 @t24)) % 15.96/16.25 (define @t26 () (tptp.inverse tptp.sk_c1)) % 15.96/16.25 (define @t27 () (= @t26 tptp.sk_c6)) % 15.96/16.25 (define @t28 () (or @t27 @t13)) % 15.96/16.25 (define @t29 () (or @t27 @t18)) % 15.96/16.25 (define @t30 () (or @t27 @t21)) % 15.96/16.25 (define @t31 () (or @t27 @t24)) % 15.96/16.25 (define @t32 () (tptp.inverse tptp.sk_c2)) % 15.96/16.25 (define @t33 () (= @t32 tptp.sk_c6)) % 15.96/16.25 (define @t34 () (or @t33 @t13)) % 15.96/16.25 (define @t35 () (or @t33 @t18)) % 15.96/16.25 (define @t36 () (tptp.multiply tptp.sk_c2 tptp.sk_c5)) % 15.96/16.25 (define @t37 () (= @t36 tptp.sk_c6)) % 15.96/16.25 (define @t38 () (or @t37 @t13)) % 15.96/16.25 (define @t39 () (or @t37 @t18)) % 15.96/16.25 (define @t40 () (@var "X2" $$unsorted)) % 15.96/16.25 (define @t41 () (tptp.inverse @t40)) % 15.96/16.25 (define @t42 () (not (= @t41 tptp.sk_c6))) % 15.96/16.25 (define @t43 () (tptp.multiply @t40 tptp.sk_c6)) % 15.96/16.25 (define @t44 () (not (= @t43 tptp.sk_c5))) % 15.96/16.25 (define @t45 () (@var "X1" $$unsorted)) % 15.96/16.25 (define @t46 () (tptp.inverse @t45)) % 15.96/16.25 (define @t47 () (not (= @t46 tptp.sk_c7))) % 15.96/16.25 (define @t48 () (tptp.multiply @t45 tptp.sk_c7)) % 15.96/16.25 (define @t49 () (not (= @t48 tptp.sk_c6))) % 15.96/16.25 (define @t50 () (@var "X4" $$unsorted)) % 15.96/16.25 (define @t51 () (tptp.multiply @t50 tptp.sk_c5)) % 15.96/16.25 (define @t52 () (not (= @t51 tptp.sk_c6))) % 15.96/16.25 (define @t53 () (tptp.inverse @t50)) % 15.96/16.25 (define @t54 () (not (= @t53 tptp.sk_c6))) % 15.96/16.25 (define @t55 () (@var "X3" $$unsorted)) % 15.96/16.25 (define @t56 () (tptp.inverse @t55)) % 15.96/16.25 (define @t57 () (not (= @t56 tptp.sk_c6))) % 15.96/16.25 (define @t58 () (tptp.multiply @t55 tptp.sk_c6)) % 15.96/16.25 (define @t59 () (not (= @t58 tptp.sk_c7))) % 15.96/16.25 (define @t60 () (not @t11)) % 15.96/16.25 (define @t61 () (or @t60 @t59 @t57 @t54 @t52 @t49 @t47 @t44 @t42)) % 15.96/16.25 (define @t62 () (@list @t55 @t50 @t45 @t40)) % 15.96/16.25 (define @t63 () (forall @t62 @t61)) % 15.96/16.25 (define @t64 () (= tptp.sk_c6 @t26)) % 15.96/16.25 (define @t65 () (= tptp.sk_c6 @t12)) % 15.96/16.25 (define @t66 () (= tptp.sk_c7 @t17)) % 15.96/16.25 (define @t67 () (= tptp.sk_c5 @t20)) % 15.96/16.25 (define @t68 () (= tptp.sk_c6 @t23)) % 15.96/16.25 (define @t69 () (not @t66)) % 15.96/16.25 (define @t70 () (not @t65)) % 15.96/16.25 (define @t71 () (or @t70 @t69)) % 15.96/16.25 (define @t72 () (not @t71)) % 15.96/16.25 (define @t73 () (not (= tptp.sk_c7 @t46))) % 15.96/16.25 (define @t74 () (not (= tptp.sk_c6 @t48))) % 15.96/16.25 (define @t75 () (or @t74 @t73)) % 15.96/16.25 (define @t76 () (forall (@list @t45) @t75)) % 15.96/16.25 (define @t77 () (@list tptp.sk_c3)) % 15.96/16.25 (define @t78 () (tptp.inverse @t17)) % 15.96/16.25 (define @t79 () (tptp.multiply @t17 tptp.sk_c3)) % 15.96/16.25 (define @t80 () (tptp.multiply tptp.identity tptp.sk_c7)) % 15.96/16.25 (define @t81 () (= tptp.sk_c7 @t80)) % 15.96/16.25 (define @t82 () (tptp.multiply tptp.identity tptp.sk_c3)) % 15.96/16.25 (define @t83 () (= tptp.sk_c3 @t82)) % 15.96/16.25 (define @t84 () (= tptp.identity @t79)) % 15.96/16.25 (define @t85 () (tptp.multiply @t78 @t17)) % 15.96/16.25 (define @t86 () (= tptp.identity @t85)) % 15.96/16.25 (define @t87 () (tptp.multiply @t78 @t79)) % 15.96/16.25 (define @t88 () (tptp.multiply @t85 tptp.sk_c3)) % 15.96/16.25 (define @t89 () (= @t88 @t87)) % 15.96/16.25 (define @t90 () (tptp.multiply @t87 tptp.sk_c7)) % 15.96/16.25 (define @t91 () (= @t90 (tptp.multiply @t78 (tptp.multiply @t79 tptp.sk_c7)))) % 15.96/16.25 (define @t92 () (tptp.multiply @t78 tptp.sk_c7)) % 15.96/16.25 (define @t93 () (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 @t10))) % 15.96/16.25 (define @t94 () (and @t65 @t66 @t81 @t83 @t84 @t86 @t89 @t91)) % 15.96/16.25 (define @t95 () (not @t91)) % 15.96/16.25 (define @t96 () (not @t89)) % 15.96/16.25 (define @t97 () (not @t86)) % 15.96/16.25 (define @t98 () (not @t84)) % 15.96/16.25 (define @t99 () (not @t83)) % 15.96/16.25 (define @t100 () (not @t81)) % 15.96/16.25 (define @t101 () (@list tptp.sk_c4)) % 15.96/16.25 (define @t102 () (= @t10 @t20)) % 15.96/16.25 (define @t103 () (tptp.multiply tptp.identity tptp.identity)) % 15.96/16.25 (define @t104 () (= tptp.identity @t103)) % 15.96/16.25 (define @t105 () (tptp.multiply tptp.identity tptp.sk_c4)) % 15.96/16.25 (define @t106 () (= tptp.sk_c4 @t105)) % 15.96/16.25 (define @t107 () (= tptp.identity (tptp.multiply @t23 tptp.sk_c4))) % 15.96/16.25 (define @t108 () (= tptp.sk_c7 @t23)) % 15.96/16.25 (define @t109 () (= tptp.sk_c6 @t17)) % 15.96/16.25 (define @t110 () (and @t65 @t66 @t68 @t102 @t104 @t81 @t83 @t106 @t84 @t86 @t107 @t89 @t91)) % 15.96/16.25 (define @t111 () (not @t107)) % 15.96/16.25 (define @t112 () (not @t106)) % 15.96/16.25 (define @t113 () (not @t104)) % 15.96/16.25 (define @t114 () (not @t68)) % 15.96/16.25 (define @t115 () (not @t102)) % 15.96/16.25 (define @t116 () (not @t93)) % 15.96/16.25 (define @t117 () (not @t109)) % 15.96/16.25 (define @t118 () (or @t117 @t116)) % 15.96/16.25 (define @t119 () (not @t118)) % 15.96/16.25 (define @t120 () (not (= tptp.sk_c6 @t53))) % 15.96/16.25 (define @t121 () (@list @t50)) % 15.96/16.25 (define @t122 () (forall @t121 (or @t120 (not (= tptp.sk_c6 (tptp.multiply @t50 @t10)))))) % 15.96/16.25 (define @t123 () (tptp.multiply tptp.sk_c3 tptp.sk_c6)) % 15.96/16.25 (define @t124 () (= tptp.sk_c7 @t123)) % 15.96/16.25 (define @t125 () (tptp.multiply @t79 tptp.identity)) % 15.96/16.25 (define @t126 () (tptp.multiply @t78 @t125)) % 15.96/16.25 (define @t127 () (= (tptp.multiply @t87 tptp.identity) @t126)) % 15.96/16.25 (define @t128 () (not @t127)) % 15.96/16.25 (define @t129 () (not @t124)) % 15.96/16.25 (define @t130 () (tptp.multiply tptp.sk_c3 tptp.identity)) % 15.96/16.25 (define @t131 () (and @t124 @t129)) % 15.96/16.25 (define @t132 () (or @t129 @t117)) % 15.96/16.25 (define @t133 () (not @t132)) % 15.96/16.25 (define @t134 () (not (= tptp.sk_c6 @t56))) % 15.96/16.25 (define @t135 () (not (= tptp.sk_c7 @t58))) % 15.96/16.25 (define @t136 () (or @t135 @t134)) % 15.96/16.25 (define @t137 () (forall (@list @t55) @t136)) % 15.96/16.25 (define @t138 () (not (= tptp.sk_c6 @t41))) % 15.96/16.25 (define @t139 () (@list @t40)) % 15.96/16.25 (define @t140 () (forall @t139 (or (not (= @t10 @t43)) @t138))) % 15.96/16.25 (define @t141 () (not (= @t10 @t10))) % 15.96/16.25 (define @t142 () (= tptp.sk_c5 @t43)) % 15.96/16.25 (define @t143 () (not @t142)) % 15.96/16.25 (define @t144 () (or @t143 @t138)) % 15.96/16.25 (define @t145 () (forall @t139 @t144)) % 15.96/16.25 (define @t146 () (= tptp.sk_c6 @t51)) % 15.96/16.25 (define @t147 () (not @t146)) % 15.96/16.25 (define @t148 () (or @t120 @t147)) % 15.96/16.25 (define @t149 () (forall @t121 @t148)) % 15.96/16.25 (define @t150 () (= tptp.sk_c5 @t10)) % 15.96/16.25 (define @t151 () (not @t150)) % 15.96/16.25 (define @t152 () (or @t151 @t137 @t149 @t76 @t145)) % 15.96/16.25 (define @t153 () (or @t151 @t136 @t148 @t75 @t144)) % 15.96/16.25 (define @t154 () (or @t151 @t135 @t134 @t120 @t147 @t74 @t73 @t143 @t138)) % 15.96/16.25 (define @t155 () (= @t10 @t123)) % 15.96/16.25 (define @t156 () (and @t65 @t66 @t68 @t102 @t104 @t81 @t83 @t106 @t84 @t86 @t107 @t89 @t91 @t127)) % 15.96/16.25 (define @t157 () (not @t155)) % 15.96/16.25 (define @t158 () (or @t157 @t117)) % 15.96/16.25 (define @t159 () (not @t158)) % 15.96/16.25 (define @t160 () (not @t64)) % 15.96/16.25 (define @t161 () (= tptp.sk_c7 @t14)) % 15.96/16.25 (define @t162 () (not @t161)) % 15.96/16.25 (define @t163 () (or @t162 @t160)) % 15.96/16.25 (define @t164 () (@list tptp.sk_c1)) % 15.96/16.25 (define @t165 () (@list @t26 tptp.sk_c1 tptp.sk_c6)) % 15.96/16.25 (define @t166 () (tptp.multiply @t26 @t14)) % 15.96/16.25 (define @t167 () (tptp.multiply @t26 tptp.sk_c1)) % 15.96/16.25 (define @t168 () (tptp.multiply @t167 tptp.sk_c6)) % 15.96/16.25 (define @t169 () (= @t168 @t166)) % 15.96/16.25 (define @t170 () (forall @t3 (= tptp.identity @t5))) % 15.96/16.25 (define @t171 () (= tptp.identity @t167)) % 15.96/16.25 (define @t172 () (forall @t3 (= @t1 @t2))) % 15.96/16.25 (define @t173 () (@list tptp.sk_c6)) % 15.96/16.25 (define @t174 () (tptp.multiply tptp.identity tptp.sk_c6)) % 15.96/16.25 (define @t175 () (= tptp.sk_c6 @t174)) % 15.96/16.25 (define @t176 () (tptp.multiply tptp.identity @t174)) % 15.96/16.25 (define @t177 () (tptp.multiply @t103 tptp.sk_c6)) % 15.96/16.25 (define @t178 () (= tptp.sk_c6 (tptp.multiply @t10 tptp.sk_c7))) % 15.96/16.25 (define @t179 () (and @t161 @t64 @t104 @t175 @t171 @t169)) % 15.96/16.25 (define @t180 () (not @t169)) % 15.96/16.25 (define @t181 () (not @t171)) % 15.96/16.25 (define @t182 () (not @t175)) % 15.96/16.25 (define @t183 () (tptp.multiply tptp.sk_c2 @t10)) % 15.96/16.25 (define @t184 () (= tptp.sk_c6 @t183)) % 15.96/16.25 (define @t185 () (not @t184)) % 15.96/16.25 (define @t186 () (= tptp.sk_c6 @t32)) % 15.96/16.25 (define @t187 () (not @t186)) % 15.96/16.25 (define @t188 () (or @t187 @t185)) % 15.96/16.25 (define @t189 () (@list tptp.sk_c2)) % 15.96/16.25 (define @t190 () (tptp.inverse tptp.sk_c6)) % 15.96/16.25 (define @t191 () (tptp.multiply @t190 tptp.sk_c6)) % 15.96/16.25 (define @t192 () (= tptp.identity @t191)) % 15.96/16.25 (define @t193 () (tptp.multiply tptp.identity tptp.sk_c1)) % 15.96/16.25 (define @t194 () (= tptp.sk_c1 @t193)) % 15.96/16.25 (define @t195 () (tptp.multiply @t191 tptp.sk_c7)) % 15.96/16.25 (define @t196 () (= @t195 (tptp.multiply @t190 @t10))) % 15.96/16.25 (define @t197 () (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) % 15.96/16.25 (define @t198 () (tptp.multiply tptp.sk_c6 tptp.sk_c1)) % 15.96/16.25 (define @t199 () (tptp.multiply @t190 @t198)) % 15.96/16.25 (define @t200 () (tptp.multiply @t191 tptp.sk_c1)) % 15.96/16.25 (define @t201 () (= @t200 @t199)) % 15.96/16.25 (define @t202 () (tptp.multiply @t32 tptp.sk_c2)) % 15.96/16.25 (define @t203 () (= tptp.identity @t202)) % 15.96/16.25 (define @t204 () (tptp.multiply tptp.sk_c6 tptp.sk_c2)) % 15.96/16.25 (define @t205 () (tptp.multiply @t190 @t204)) % 15.96/16.25 (define @t206 () (tptp.multiply @t191 tptp.sk_c2)) % 15.96/16.25 (define @t207 () (= @t206 @t205)) % 15.96/16.25 (define @t208 () (= tptp.sk_c7 (tptp.inverse @t10))) % 15.96/16.25 (define @t209 () (and @t161 @t64 @t186 @t184 @t104 @t81 @t175 @t192 @t194 @t171 @t169 @t196 @t197 @t201 @t203 @t207)) % 15.96/16.25 (define @t210 () (not @t207)) % 15.96/16.25 (define @t211 () (not @t203)) % 15.96/16.25 (define @t212 () (not @t201)) % 15.96/16.25 (define @t213 () (not @t197)) % 15.96/16.25 (define @t214 () (not @t196)) % 15.96/16.25 (define @t215 () (not @t194)) % 15.96/16.25 (define @t216 () (not @t192)) % 15.96/16.25 (define @t217 () (not @t208)) % 15.96/16.25 (define @t218 () (not @t178)) % 15.96/16.25 (define @t219 () (or @t218 @t217)) % 15.96/16.25 (define @t220 () (= @t10 @t14)) % 15.96/16.25 (define @t221 () (and @t161 @t64 @t186 @t184 @t104 @t175 @t192 @t194 @t171 @t169 @t197 @t201 @t203 @t207)) % 15.96/16.25 (define @t222 () (not @t220)) % 15.96/16.25 (define @t223 () (or @t222 @t160)) % 15.96/16.25 (define @t224 () (= tptp.sk_c6 @t36)) % 15.96/16.25 (define @t225 () (and @t222 @t220)) % 15.96/16.25 (define @t226 () (and @t161 @t65 @t66 @t64 @t104 @t81 @t175 @t192 @t83 @t171 @t169 @t196 @t84 @t86 @t89)) % 15.96/16.25 (define @t227 () (@list true)) % 15.96/16.25 (define @t228 () (@list @t161)) % 15.96/16.25 (define @t229 () (@list false false)) % 15.96/16.25 (define @t230 () (@list false false false false false false false false false false false false false false)) % 15.96/16.25 (define @t231 () (@list @t65 @t66 @t102 @t68 @t104 @t81 @t83 @t106 @t84 @t86 @t107 @t89 @t91 @t127)) % 15.96/16.25 (assume @p1 @t4) % 15.96/16.25 (assume @p2 @t6) % 15.96/16.25 (assume @p3 @t9) % 15.96/16.25 (assume @p4 @t11) % 15.96/16.25 (assume @p5 @t16) % 15.96/16.25 (assume @p6 @t19) % 15.96/16.25 (assume @p7 @t22) % 15.96/16.25 (assume @p8 @t25) % 15.96/16.25 (assume @p9 @t28) % 15.96/16.25 (assume @p10 @t29) % 15.96/16.25 (assume @p11 @t30) % 15.96/16.25 (assume @p12 @t31) % 15.96/16.25 (assume @p13 @t34) % 15.96/16.25 (assume @p14 @t35) % 15.96/16.25 (assume @p15 (or @t33 @t21)) % 15.96/16.25 (assume @p16 (or @t33 @t24)) % 15.96/16.25 (assume @p17 @t38) % 15.96/16.25 (assume @p18 @t39) % 15.96/16.25 (assume @p19 (or @t37 @t21)) % 15.96/16.25 (assume @p20 (or @t37 @t24)) % 15.96/16.25 (assume @p21 @t63) % 15.96/16.25 (step @p22 :rule eq-symm :args (@t12 tptp.sk_c6)) % 15.96/16.25 (step @p23 :rule eq-symm :args (@t26 tptp.sk_c6)) % 15.96/16.25 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t28)) % 15.96/16.25 (step @p25 :rule eq_resolve :premises (@p9 @p24)) % 15.96/16.25 (step @p26 :rule reordering :premises (@p25) :args ((or @t65 @t64))) % 15.96/16.25 (step @p27 :rule eq-symm :args (@t17 tptp.sk_c7)) % 15.96/16.25 (step @p28 :rule nary_cong :premises (@p23 @p27) :args (@t29)) % 15.96/16.25 (step @p29 :rule eq_resolve :premises (@p10 @p28)) % 15.96/16.25 (step @p30 :rule reordering :premises (@p29) :args ((or @t66 @t64))) % 15.96/16.25 (step @p31 :rule refl :args (@t20)) % 15.96/16.25 (step @p32 :rule symm :premises (@p4)) % 15.96/16.25 (step @p33 :rule cong :premises (@p32 @p31) :args (@t67)) % 15.96/16.25 (step @p34 :rule refl :args (@t64)) % 15.96/16.25 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t64 @t67))) % 15.96/16.25 (step @p36 :rule eq-symm :args (@t20 tptp.sk_c5)) % 15.96/16.25 (step @p37 :rule nary_cong :premises (@p23 @p36) :args (@t30)) % 15.96/16.25 (step @p38 :rule trans :premises (@p37 @p35)) % 15.96/16.25 (step @p39 :rule eq_resolve :premises (@p11 @p38)) % 15.96/16.25 (step @p40 :rule eq-symm :args (@t23 tptp.sk_c6)) % 15.96/16.25 (step @p41 :rule nary_cong :premises (@p23 @p40) :args (@t31)) % 15.96/16.25 (step @p42 :rule eq_resolve :premises (@p12 @p41)) % 15.96/16.25 (step @p43 :rule reordering :premises (@p42) :args ((or @t68 @t64))) % 15.96/16.25 (step @p44 :rule cnf_or_pos :args (@t71)) % 15.96/16.25 (step @p45 :rule reordering :premises (@p44) :args ((or @t70 @t69 @t72))) % 15.96/16.25 (assume-push @p1233 @t76) % 15.96/16.25 (step @p47 :rule instantiate :premises (@p1233) :args (@t77)) % 15.96/16.25 (step-pop @p1234 :rule scope :premises (@p47)) % 15.96/16.25 (step @p48 :rule process_scope :premises (@p1234) :args (@t71)) % 15.96/16.25 (step @p50 :rule implies_elim :premises (@p48)) % 15.96/16.25 (step @p51 :rule eq-symm :args (@t2 @t1)) % 15.96/16.25 (step @p52 :rule cong :premises (@p51) :args (@t4)) % 15.96/16.25 (step @p53 :rule eq_resolve :premises (@p1 @p52)) % 15.96/16.25 (step @p54 :rule instantiate :premises (@p53) :args ((@list tptp.sk_c7))) % 15.96/16.25 (step @p55 :rule instantiate :premises (@p53) :args (@t77)) % 15.96/16.25 (step @p56 :rule eq-symm :args (@t5 tptp.identity)) % 15.96/16.25 (step @p57 :rule cong :premises (@p56) :args (@t6)) % 15.96/16.25 (step @p58 :rule eq_resolve :premises (@p2 @p57)) % 15.96/16.25 (step @p59 :rule instantiate :premises (@p58) :args (@t77)) % 15.96/16.25 (step @p60 :rule instantiate :premises (@p58) :args ((@list @t17))) % 15.96/16.25 (step @p61 :rule instantiate :premises (@p3) :args ((@list @t78 @t17 tptp.sk_c3))) % 15.96/16.25 (step @p62 :rule instantiate :premises (@p3) :args ((@list @t78 @t79 tptp.sk_c7))) % 15.96/16.25 (assume-push @p1235 @t65) % 15.96/16.25 (assume-push @p1236 @t66) % 15.96/16.25 (assume-push @p1237 @t81) % 15.96/16.25 (assume-push @p1238 @t83) % 15.96/16.25 (assume-push @p1239 @t84) % 15.96/16.25 (assume-push @p1240 @t86) % 15.96/16.25 (assume-push @p1241 @t89) % 15.96/16.25 (assume-push @p1242 @t91) % 15.96/16.25 (assume-push @p1243 @t65) % 15.96/16.25 (assume-push @p1244 @t83) % 15.96/16.25 (assume-push @p1245 @t86) % 15.96/16.25 (assume-push @p1246 @t89) % 15.96/16.25 (assume-push @p1247 @t91) % 15.96/16.25 (assume-push @p1248 @t84) % 15.96/16.25 (assume-push @p1249 @t81) % 15.96/16.25 (assume-push @p1250 @t66) % 15.96/16.25 (step @p79 :rule refl :args (tptp.sk_c7)) % 15.96/16.25 (step @p80 :rule symm :premises (@p1235)) % 15.96/16.25 (step @p81 :rule symm :premises (@p55)) % 15.96/16.25 (step @p82 :rule refl :args (tptp.sk_c3)) % 15.96/16.25 (step @p83 :rule symm :premises (@p60)) % 15.96/16.25 (step @p84 :rule cong :premises (@p83 @p82) :args (@t88)) % 15.96/16.25 (step @p85 :rule symm :premises (@p61)) % 15.96/16.25 (step @p86 :rule trans :premises (@p85 @p84 @p81)) % 15.96/16.25 (step @p87 :rule cong :premises (@p86 @p79) :args (@t90)) % 15.96/16.25 (step @p88 :rule symm :premises (@p62)) % 15.96/16.25 (step @p89 :rule cong :premises (@p59 @p79) :args (@t80)) % 15.96/16.25 (step @p90 :rule trans :premises (@p54 @p89)) % 15.96/16.25 (step @p91 :rule refl :args (@t78)) % 15.96/16.25 (step @p92 :rule cong :premises (@p91 @p90) :args (@t92)) % 15.96/16.25 (step @p93 :rule symm :premises (@p1236)) % 15.96/16.25 (step @p94 :rule cong :premises (@p91 @p93) :args (@t85)) % 15.96/16.25 (step @p95 :rule trans :premises (@p60 @p94 @p92 @p88 @p87 @p80)) % 15.96/16.25 (step @p96 :rule cong :premises (@p95 @p79) :args (@t80)) % 15.96/16.25 (step @p97 :rule trans :premises (@p54 @p96)) % 15.96/16.25 (step @p98 :rule cong :premises (@p82 @p97) :args (@t12)) % 15.96/16.25 (step @p99 :rule trans :premises (@p1235 @p98)) % 15.96/16.25 (step-pop @p1251 :rule scope :premises (@p99)) % 15.96/16.25 (step-pop @p1252 :rule scope :premises (@p1251)) % 15.96/16.25 (step-pop @p1253 :rule scope :premises (@p1252)) % 15.96/16.25 (step-pop @p1254 :rule scope :premises (@p1253)) % 15.96/16.25 (step-pop @p1255 :rule scope :premises (@p1254)) % 15.96/16.25 (step-pop @p1256 :rule scope :premises (@p1255)) % 15.96/16.25 (step-pop @p1257 :rule scope :premises (@p1256)) % 15.96/16.25 (step-pop @p1258 :rule scope :premises (@p1257)) % 15.96/16.25 (step @p100 :rule process_scope :premises (@p1258) :args (@t93)) % 15.96/16.25 (step @p109 :rule and_intro :premises (@p1235 @p55 @p60 @p61 @p62 @p59 @p54 @p1236)) % 15.96/16.25 (step @p110 :rule modus_ponens :premises (@p109 @p100)) % 15.96/16.25 (step-pop @p1259 :rule scope :premises (@p110)) % 15.96/16.25 (step-pop @p1260 :rule scope :premises (@p1259)) % 15.96/16.25 (step-pop @p1261 :rule scope :premises (@p1260)) % 15.96/16.25 (step-pop @p1262 :rule scope :premises (@p1261)) % 15.96/16.25 (step-pop @p1263 :rule scope :premises (@p1262)) % 15.96/16.25 (step-pop @p1264 :rule scope :premises (@p1263)) % 15.96/16.25 (step-pop @p1265 :rule scope :premises (@p1264)) % 15.96/16.25 (step-pop @p1266 :rule scope :premises (@p1265)) % 15.96/16.25 (step @p111 :rule process_scope :premises (@p1266) :args (@t93)) % 15.96/16.25 (step @p120 :rule implies_elim :premises (@p111)) % 15.96/16.25 (step @p121 :rule cnf_and_neg :args (@t94)) % 15.96/16.25 (step @p122 :rule resolution :premises (@p121 @p120) :args (true @t94)) % 15.96/16.25 (step @p123 :rule reordering :premises (@p122) :args ((or @t70 @t69 @t100 @t99 @t98 @t97 @t96 @t93 @t95))) % 15.96/16.25 (step @p124 :rule instantiate :premises (@p53) :args ((@list tptp.identity))) % 15.96/16.25 (step @p125 :rule instantiate :premises (@p53) :args (@t101)) % 15.96/16.25 (step @p126 :rule instantiate :premises (@p58) :args (@t101)) % 15.96/16.25 (assume-push @p1267 @t65) % 15.96/16.25 (assume-push @p1268 @t66) % 15.96/16.25 (assume-push @p1269 @t68) % 15.96/16.25 (assume-push @p1270 @t102) % 15.96/16.25 (assume-push @p1271 @t104) % 15.96/16.25 (assume-push @p1272 @t81) % 15.96/16.25 (assume-push @p1273 @t83) % 15.96/16.25 (assume-push @p1274 @t106) % 15.96/16.25 (assume-push @p1275 @t84) % 15.96/16.25 (assume-push @p1276 @t86) % 15.96/16.25 (assume-push @p1277 @t107) % 15.96/16.25 (assume-push @p1278 @t89) % 15.96/16.25 (assume-push @p1279 @t91) % 15.96/16.25 (assume-push @p1280 @t66) % 15.96/16.25 (assume-push @p1281 @t108) % 15.96/16.25 (assume-push @p1282 @t68) % 15.96/16.25 (step @p143 :rule symm :premises (@p1281)) % 15.96/16.25 (step @p144 :rule trans :premises (@p1269 @p143 @p1268)) % 15.96/16.25 (step-pop @p1283 :rule scope :premises (@p144)) % 15.96/16.25 (step-pop @p1284 :rule scope :premises (@p1283)) % 15.96/16.25 (step-pop @p1285 :rule scope :premises (@p1284)) % 15.96/16.25 (step @p145 :rule process_scope :premises (@p1285) :args (@t109)) % 15.96/16.25 (assume-push @p1286 @t68) % 15.96/16.25 (assume-push @p1287 @t65) % 15.96/16.25 (assume-push @p1288 @t83) % 15.96/16.25 (assume-push @p1289 @t86) % 15.96/16.25 (assume-push @p1290 @t89) % 15.96/16.25 (assume-push @p1291 @t91) % 15.96/16.25 (assume-push @p1292 @t84) % 15.96/16.25 (assume-push @p1293 @t81) % 15.96/16.25 (assume-push @p1294 @t66) % 15.96/16.25 (assume-push @p1295 @t104) % 15.96/16.25 (assume-push @p1296 @t107) % 15.96/16.25 (assume-push @p1297 @t106) % 15.96/16.25 (assume-push @p1298 @t102) % 15.96/16.25 (step @p162 :rule symm :premises (@p1267)) % 15.96/16.25 (step @p79 :rule refl :args (tptp.sk_c7)) % 15.96/16.25 (step @p81 :rule symm :premises (@p55)) % 15.96/16.25 (step @p82 :rule refl :args (tptp.sk_c3)) % 15.96/16.25 (step @p83 :rule symm :premises (@p60)) % 15.96/16.25 (step @p84 :rule cong :premises (@p83 @p82) :args (@t88)) % 15.96/16.25 (step @p85 :rule symm :premises (@p61)) % 15.96/16.25 (step @p86 :rule trans :premises (@p85 @p84 @p81)) % 15.96/16.25 (step @p87 :rule cong :premises (@p86 @p79) :args (@t90)) % 15.96/16.25 (step @p88 :rule symm :premises (@p62)) % 15.96/16.25 (step @p89 :rule cong :premises (@p59 @p79) :args (@t80)) % 15.96/16.25 (step @p90 :rule trans :premises (@p54 @p89)) % 15.96/16.25 (step @p91 :rule refl :args (@t78)) % 15.96/16.25 (step @p92 :rule cong :premises (@p91 @p90) :args (@t92)) % 15.96/16.25 (step @p163 :rule symm :premises (@p1268)) % 15.96/16.25 (step @p164 :rule cong :premises (@p91 @p163) :args (@t85)) % 15.96/16.25 (step @p165 :rule symm :premises (@p124)) % 15.96/16.25 (step @p166 :rule symm :premises (@p164)) % 15.96/16.25 (step @p167 :rule symm :premises (@p92)) % 15.96/16.25 (step @p168 :rule symm :premises (@p87)) % 15.96/16.25 (step @p169 :rule trans :premises (@p1267 @p168 @p62 @p167 @p166 @p83)) % 15.96/16.25 (step @p170 :rule symm :premises (@p126)) % 15.96/16.25 (step @p171 :rule refl :args (tptp.sk_c4)) % 15.96/16.25 (step @p172 :rule trans :premises (@p60 @p164 @p92 @p88 @p87 @p162 @p1269)) % 15.96/16.25 (step @p173 :rule cong :premises (@p172 @p171) :args (@t105)) % 15.96/16.25 (step @p174 :rule trans :premises (@p125 @p173 @p170)) % 15.96/16.25 (step @p175 :rule cong :premises (@p174 @p169) :args (@t20)) % 15.96/16.25 (step @p176 :rule symm :premises (@p169)) % 15.96/16.25 (step @p177 :rule cong :premises (@p176 @p79) :args (@t80)) % 15.96/16.25 (step @p178 :rule trans :premises (@p54 @p177 @p1270 @p175 @p165 @p60 @p164 @p92 @p88 @p87 @p162 @p1269)) % 15.96/16.25 (step-pop @p1299 :rule scope :premises (@p178)) % 15.96/16.25 (step-pop @p1300 :rule scope :premises (@p1299)) % 15.96/16.25 (step-pop @p1301 :rule scope :premises (@p1300)) % 15.96/16.25 (step-pop @p1302 :rule scope :premises (@p1301)) % 15.96/16.25 (step-pop @p1303 :rule scope :premises (@p1302)) % 15.96/16.25 (step-pop @p1304 :rule scope :premises (@p1303)) % 15.96/16.25 (step-pop @p1305 :rule scope :premises (@p1304)) % 15.96/16.25 (step-pop @p1306 :rule scope :premises (@p1305)) % 15.96/16.25 (step-pop @p1307 :rule scope :premises (@p1306)) % 15.96/16.25 (step-pop @p1308 :rule scope :premises (@p1307)) % 15.96/16.25 (step-pop @p1309 :rule scope :premises (@p1308)) % 15.96/16.25 (step-pop @p1310 :rule scope :premises (@p1309)) % 15.96/16.25 (step-pop @p1311 :rule scope :premises (@p1310)) % 15.96/16.25 (step @p179 :rule process_scope :premises (@p1311) :args (@t108)) % 15.96/16.25 (step @p193 :rule and_intro :premises (@p1269 @p1267 @p55 @p60 @p61 @p62 @p59 @p54 @p1268 @p124 @p126 @p125 @p1270)) % 15.96/16.25 (step @p194 :rule modus_ponens :premises (@p193 @p179)) % 15.96/16.25 (step @p195 :rule and_intro :premises (@p1268 @p194 @p1269)) % 15.96/16.25 (step @p196 :rule modus_ponens :premises (@p195 @p145)) % 15.96/16.25 (step-pop @p1312 :rule scope :premises (@p196)) % 15.96/16.25 (step-pop @p1313 :rule scope :premises (@p1312)) % 15.96/16.25 (step-pop @p1314 :rule scope :premises (@p1313)) % 15.96/16.25 (step-pop @p1315 :rule scope :premises (@p1314)) % 15.96/16.25 (step-pop @p1316 :rule scope :premises (@p1315)) % 15.96/16.25 (step-pop @p1317 :rule scope :premises (@p1316)) % 15.96/16.25 (step-pop @p1318 :rule scope :premises (@p1317)) % 15.96/16.25 (step-pop @p1319 :rule scope :premises (@p1318)) % 15.96/16.25 (step-pop @p1320 :rule scope :premises (@p1319)) % 15.96/16.25 (step-pop @p1321 :rule scope :premises (@p1320)) % 15.96/16.25 (step-pop @p1322 :rule scope :premises (@p1321)) % 15.96/16.25 (step-pop @p1323 :rule scope :premises (@p1322)) % 15.96/16.25 (step-pop @p1324 :rule scope :premises (@p1323)) % 15.96/16.25 (step @p197 :rule process_scope :premises (@p1324) :args (@t109)) % 15.96/16.25 (step @p211 :rule implies_elim :premises (@p197)) % 15.96/16.25 (step @p212 :rule cnf_and_neg :args (@t110)) % 15.96/16.25 (step @p213 :rule resolution :premises (@p212 @p211) :args (true @t110)) % 15.96/16.25 (step @p214 :rule reordering :premises (@p213) :args ((or @t70 @t69 @t115 @t114 @t113 @t100 @t99 @t112 @t98 @t97 @t111 @t96 @t109 @t95))) % 15.96/16.25 (step @p215 :rule cnf_or_pos :args (@t118)) % 15.96/16.25 (step @p216 :rule reordering :premises (@p215) :args ((or @t117 @t116 @t119))) % 15.96/16.25 (assume-push @p1325 @t122) % 15.96/16.25 (step @p218 :rule instantiate :premises (@p1325) :args (@t77)) % 15.96/16.25 (step-pop @p1326 :rule scope :premises (@p218)) % 15.96/16.25 (step @p219 :rule process_scope :premises (@p1326) :args (@t118)) % 15.96/16.25 (step @p221 :rule implies_elim :premises (@p219)) % 15.96/16.25 (step @p222 :rule instantiate :premises (@p3) :args ((@list @t78 @t79 tptp.identity))) % 15.96/16.25 (step @p223 :rule bool-double-not-elim :args (@t124)) % 15.96/16.25 (step @p224 :rule refl :args (@t128)) % 15.96/16.25 (step @p225 :rule refl :args (@t95)) % 15.96/16.25 (step @p226 :rule refl :args (@t96)) % 15.96/16.25 (step @p227 :rule refl :args (@t111)) % 15.96/16.25 (step @p228 :rule refl :args (@t97)) % 15.96/16.25 (step @p229 :rule refl :args (@t98)) % 15.96/16.25 (step @p230 :rule refl :args (@t112)) % 15.96/16.25 (step @p231 :rule refl :args (@t99)) % 15.96/16.25 (step @p232 :rule refl :args (@t100)) % 15.96/16.25 (step @p233 :rule refl :args (@t113)) % 15.96/16.25 (step @p234 :rule refl :args (@t115)) % 15.96/16.25 (step @p235 :rule refl :args (@t114)) % 15.96/16.25 (step @p236 :rule refl :args (@t69)) % 15.96/16.25 (step @p237 :rule refl :args (@t70)) % 15.96/16.25 (step @p238 :rule nary_cong :premises (@p237 @p236 @p235 @p234 @p233 @p232 @p231 @p230 @p229 @p228 @p227 @p226 @p225 @p224 @p223) :args ((or @t70 @t69 @t114 @t115 @t113 @t100 @t99 @t112 @t98 @t97 @t111 @t96 @t95 @t128 (not @t129)))) % 15.96/16.25 (assume-push @p1327 @t124) % 15.96/16.25 (assume-push @p1328 @t129) % 15.96/16.25 (step @p241 :rule evaluate :args ((= true false))) % 15.96/16.25 (step @p242 :rule false_intro :premises (@p1328)) % 15.96/16.25 (step @p243 :rule true_intro :premises (@p1327)) % 15.96/16.25 (step @p244 :rule symm :premises (@p243)) % 15.96/16.25 (step @p245 :rule trans :premises (@p244 @p242)) % 15.96/16.25 (step @p246 false :rule eq_resolve :premises (@p245 @p241)) % 15.96/16.25 (step-pop @p1329 :rule scope :premises (@p246)) % 15.96/16.25 (step-pop @p1330 :rule scope :premises (@p1329)) % 15.96/16.25 (step @p247 :rule process_scope :premises (@p1330) :args (false)) % 15.96/16.25 (assume-push @p1331 @t65) % 15.96/16.25 (assume-push @p1332 @t66) % 15.96/16.25 (assume-push @p1333 @t68) % 15.96/16.25 (assume-push @p1334 @t102) % 15.96/16.25 (assume-push @p1335 @t104) % 15.96/16.25 (assume-push @p1336 @t81) % 15.96/16.25 (assume-push @p1337 @t83) % 15.96/16.25 (assume-push @p1338 @t106) % 15.96/16.25 (assume-push @p1339 @t84) % 15.96/16.25 (assume-push @p1340 @t86) % 15.96/16.25 (assume-push @p1341 @t107) % 15.96/16.25 (assume-push @p1342 @t89) % 15.96/16.25 (assume-push @p1343 @t91) % 15.96/16.25 (assume-push @p1344 @t127) % 15.96/16.25 (assume-push @p1345 @t129) % 15.96/16.25 (assume-push @p1346 @t83) % 15.96/16.25 (assume-push @p1347 @t86) % 15.96/16.25 (assume-push @p1348 @t89) % 15.96/16.25 (assume-push @p1349 @t84) % 15.96/16.25 (assume-push @p1350 @t104) % 15.96/16.25 (assume-push @p1351 @t127) % 15.96/16.25 (assume-push @p1352 @t107) % 15.96/16.25 (assume-push @p1353 @t68) % 15.96/16.25 (assume-push @p1354 @t65) % 15.96/16.25 (assume-push @p1355 @t91) % 15.96/16.25 (assume-push @p1356 @t81) % 15.96/16.25 (assume-push @p1357 @t66) % 15.96/16.25 (assume-push @p1358 @t106) % 15.96/16.25 (assume-push @p1359 @t102) % 15.96/16.25 (step @p279 :rule symm :premises (@p1331)) % 15.96/16.25 (step @p79 :rule refl :args (tptp.sk_c7)) % 15.96/16.25 (step @p81 :rule symm :premises (@p55)) % 15.96/16.25 (step @p82 :rule refl :args (tptp.sk_c3)) % 15.96/16.25 (step @p83 :rule symm :premises (@p60)) % 15.96/16.25 (step @p84 :rule cong :premises (@p83 @p82) :args (@t88)) % 15.96/16.25 (step @p85 :rule symm :premises (@p61)) % 15.96/16.25 (step @p86 :rule trans :premises (@p85 @p84 @p81)) % 15.96/16.25 (step @p87 :rule cong :premises (@p86 @p79) :args (@t90)) % 15.96/16.25 (step @p88 :rule symm :premises (@p62)) % 15.96/16.25 (step @p89 :rule cong :premises (@p59 @p79) :args (@t80)) % 15.96/16.25 (step @p90 :rule trans :premises (@p54 @p89)) % 15.96/16.25 (step @p91 :rule refl :args (@t78)) % 15.96/16.25 (step @p92 :rule cong :premises (@p91 @p90) :args (@t92)) % 15.96/16.25 (step @p280 :rule symm :premises (@p1332)) % 15.96/16.25 (step @p281 :rule cong :premises (@p91 @p280) :args (@t85)) % 15.96/16.25 (step @p282 :rule trans :premises (@p60 @p281 @p92 @p88 @p87 @p279)) % 15.96/16.25 (step @p165 :rule symm :premises (@p124)) % 15.96/16.25 (step @p283 :rule refl :args (tptp.identity)) % 15.96/16.25 (step @p284 :rule symm :premises (@p59)) % 15.96/16.25 (step @p285 :rule cong :premises (@p284 @p283) :args (@t125)) % 15.96/16.25 (step @p286 :rule trans :premises (@p285 @p165 @p59)) % 15.96/16.25 (step @p287 :rule cong :premises (@p91 @p286) :args (@t126)) % 15.96/16.25 (step @p288 :rule symm :premises (@p86)) % 15.96/16.25 (step @p289 :rule cong :premises (@p288 @p283) :args (@t130)) % 15.96/16.25 (step @p290 :rule symm :premises (@p282)) % 15.96/16.25 (step @p170 :rule symm :premises (@p126)) % 15.96/16.25 (step @p171 :rule refl :args (tptp.sk_c4)) % 15.96/16.25 (step @p291 :rule trans :premises (@p60 @p281 @p92 @p88 @p87 @p279 @p1333)) % 15.96/16.25 (step @p292 :rule cong :premises (@p291 @p171) :args (@t105)) % 15.96/16.25 (step @p293 :rule trans :premises (@p125 @p292 @p170)) % 15.96/16.25 (step @p294 :rule cong :premises (@p293 @p290) :args (@t20)) % 15.96/16.25 (step @p295 :rule cong :premises (@p282 @p79) :args (@t80)) % 15.96/16.25 (step @p296 :rule trans :premises (@p54 @p295 @p1334 @p294 @p165)) % 15.96/16.25 (step @p297 :rule cong :premises (@p86 @p296) :args (@t90)) % 15.96/16.25 (step @p298 :rule trans :premises (@p60 @p281 @p92 @p88 @p297 @p289 @p222 @p287 @p85 @p84 @p81)) % 15.96/16.25 (step @p299 :rule cong :premises (@p298 @p282) :args (@t103)) % 15.96/16.25 (step @p300 :rule trans :premises (@p54 @p295 @p1334 @p294 @p299)) % 15.96/16.25 (step-pop @p1360 :rule scope :premises (@p300)) % 15.96/16.25 (step-pop @p1361 :rule scope :premises (@p1360)) % 15.96/16.25 (step-pop @p1362 :rule scope :premises (@p1361)) % 15.96/16.25 (step-pop @p1363 :rule scope :premises (@p1362)) % 15.96/16.25 (step-pop @p1364 :rule scope :premises (@p1363)) % 15.96/16.25 (step-pop @p1365 :rule scope :premises (@p1364)) % 15.96/16.25 (step-pop @p1366 :rule scope :premises (@p1365)) % 15.96/16.25 (step-pop @p1367 :rule scope :premises (@p1366)) % 15.96/16.25 (step-pop @p1368 :rule scope :premises (@p1367)) % 15.96/16.25 (step-pop @p1369 :rule scope :premises (@p1368)) % 15.96/16.25 (step-pop @p1370 :rule scope :premises (@p1369)) % 15.96/16.25 (step-pop @p1371 :rule scope :premises (@p1370)) % 15.96/16.25 (step-pop @p1372 :rule scope :premises (@p1371)) % 15.96/16.25 (step-pop @p1373 :rule scope :premises (@p1372)) % 15.96/16.25 (step @p301 :rule process_scope :premises (@p1373) :args (@t124)) % 15.96/16.25 (step @p316 :rule and_intro :premises (@p55 @p60 @p61 @p59 @p124 @p222 @p126 @p1333 @p1331 @p62 @p54 @p1332 @p125 @p1334)) % 15.96/16.25 (step @p317 :rule modus_ponens :premises (@p316 @p301)) % 15.96/16.25 (step @p318 :rule and_intro :premises (@p317 @p1345)) % 15.96/16.25 (step-pop @p1374 :rule scope :premises (@p318)) % 15.96/16.25 (step-pop @p1375 :rule scope :premises (@p1374)) % 15.96/16.25 (step-pop @p1376 :rule scope :premises (@p1375)) % 15.96/16.25 (step-pop @p1377 :rule scope :premises (@p1376)) % 15.96/16.25 (step-pop @p1378 :rule scope :premises (@p1377)) % 15.96/16.25 (step-pop @p1379 :rule scope :premises (@p1378)) % 15.96/16.25 (step-pop @p1380 :rule scope :premises (@p1379)) % 15.96/16.25 (step-pop @p1381 :rule scope :premises (@p1380)) % 15.96/16.25 (step-pop @p1382 :rule scope :premises (@p1381)) % 15.96/16.25 (step-pop @p1383 :rule scope :premises (@p1382)) % 15.96/16.25 (step-pop @p1384 :rule scope :premises (@p1383)) % 15.96/16.25 (step-pop @p1385 :rule scope :premises (@p1384)) % 15.96/16.25 (step-pop @p1386 :rule scope :premises (@p1385)) % 15.96/16.25 (step-pop @p1387 :rule scope :premises (@p1386)) % 15.96/16.25 (step-pop @p1388 :rule scope :premises (@p1387)) % 15.96/16.25 (step @p319 :rule process_scope :premises (@p1388) :args (@t131)) % 15.96/16.25 (step @p335 :rule implies_elim :premises (@p319)) % 15.96/16.25 (step @p336 :rule resolution :premises (@p335 @p247) :args (true @t131)) % 15.96/16.25 (step @p337 :rule not_and :premises (@p336)) % 15.96/16.25 (step @p338 :rule eq_resolve :premises (@p337 @p238)) % 15.96/16.25 (step @p339 :rule reordering :premises (@p338) :args ((or @t70 @t69 @t115 @t114 @t113 @t100 @t99 @t112 @t98 @t97 @t111 @t96 @t95 @t128 @t124))) % 15.96/16.25 (step @p340 :rule cnf_or_pos :args (@t132)) % 15.96/16.25 (step @p341 :rule reordering :premises (@p340) :args ((or @t117 @t129 @t133))) % 15.96/16.25 (assume-push @p1389 @t137) % 15.96/16.25 (step @p343 :rule instantiate :premises (@p1389) :args (@t77)) % 15.96/16.25 (step-pop @p1390 :rule scope :premises (@p343)) % 15.96/16.25 (step @p344 :rule process_scope :premises (@p1390) :args (@t132)) % 15.96/16.25 (step @p346 :rule implies_elim :premises (@p344)) % 15.96/16.25 (step @p347 :rule aci_norm :args ((= (or false @t137 @t122 @t76 @t140) (or @t137 @t122 @t76 @t140)))) % 15.96/16.25 (step @p348 :rule refl :args (@t140)) % 15.96/16.25 (step @p349 :rule refl :args (@t76)) % 15.96/16.25 (step @p350 :rule refl :args (@t122)) % 15.96/16.25 (step @p351 :rule refl :args (@t137)) % 15.96/16.25 (step @p352 :rule evaluate :args ((not true))) % 15.96/16.25 (step @p353 :rule eq-refl :args (@t10)) % 15.96/16.25 (step @p354 :rule cong :premises (@p353) :args (@t141)) % 15.96/16.25 (step @p355 :rule trans :premises (@p354 @p352)) % 15.96/16.25 (step @p356 :rule nary_cong :premises (@p355 @p351 @p350 @p349 @p348) :args ((or @t141 @t137 @t122 @t76 @t140))) % 15.96/16.25 (step @p357 :rule trans :premises (@p356 @p347)) % 15.96/16.25 (step @p358 :rule refl :args (@t138)) % 15.96/16.25 (step @p359 :rule refl :args (@t43)) % 15.96/16.25 (step @p360 :rule cong :premises (@p32 @p359) :args (@t142)) % 15.96/16.25 (step @p361 :rule cong :premises (@p360) :args (@t143)) % 15.96/16.25 (step @p362 :rule nary_cong :premises (@p361 @p358) :args (@t144)) % 15.96/16.25 (step @p363 :rule cong :premises (@p362) :args (@t145)) % 15.96/16.25 (step @p364 :rule refl :args (@t50)) % 15.96/16.25 (step @p365 :rule cong :premises (@p364 @p32) :args (@t51)) % 15.96/16.25 (step @p366 :rule refl :args (tptp.sk_c6)) % 15.96/16.25 (step @p367 :rule cong :premises (@p366 @p365) :args (@t146)) % 15.96/16.25 (step @p368 :rule cong :premises (@p367) :args (@t147)) % 15.96/16.25 (step @p369 :rule refl :args (@t120)) % 15.96/16.25 (step @p370 :rule nary_cong :premises (@p369 @p368) :args (@t148)) % 15.96/16.25 (step @p371 :rule cong :premises (@p370) :args (@t149)) % 15.96/16.25 (step @p372 :rule refl :args (@t10)) % 15.96/16.25 (step @p373 :rule cong :premises (@p32 @p372) :args (@t150)) % 15.96/16.25 (step @p374 :rule cong :premises (@p373) :args (@t151)) % 15.96/16.25 (step @p375 :rule nary_cong :premises (@p374 @p351 @p371 @p349 @p363) :args (@t152)) % 15.96/16.25 (step @p376 :rule trans :premises (@p375 @p357)) % 15.96/16.25 (step @p377 :rule quant-miniscope-or :args ((= (forall @t62 @t153) @t152))) % 15.96/16.25 (step @p378 :rule aci_norm :args ((= @t154 @t153))) % 15.96/16.25 (step @p379 :rule cong :premises (@p378) :args ((forall @t62 @t154))) % 15.96/16.25 (step @p380 :rule trans :premises (@p379 @p377)) % 15.96/16.25 (step @p381 :rule eq-symm :args (@t41 tptp.sk_c6)) % 15.96/16.25 (step @p382 :rule cong :premises (@p381) :args (@t42)) % 15.96/16.25 (step @p383 :rule eq-symm :args (@t43 tptp.sk_c5)) % 15.96/16.25 (step @p384 :rule cong :premises (@p383) :args (@t44)) % 15.96/16.25 (step @p385 :rule eq-symm :args (@t46 tptp.sk_c7)) % 15.96/16.25 (step @p386 :rule cong :premises (@p385) :args (@t47)) % 15.96/16.25 (step @p387 :rule eq-symm :args (@t48 tptp.sk_c6)) % 15.96/16.25 (step @p388 :rule cong :premises (@p387) :args (@t49)) % 15.96/16.25 (step @p389 :rule eq-symm :args (@t51 tptp.sk_c6)) % 15.96/16.25 (step @p390 :rule cong :premises (@p389) :args (@t52)) % 15.96/16.25 (step @p391 :rule eq-symm :args (@t53 tptp.sk_c6)) % 15.96/16.25 (step @p392 :rule cong :premises (@p391) :args (@t54)) % 15.96/16.25 (step @p393 :rule eq-symm :args (@t56 tptp.sk_c6)) % 15.96/16.25 (step @p394 :rule cong :premises (@p393) :args (@t57)) % 15.96/16.25 (step @p395 :rule eq-symm :args (@t58 tptp.sk_c7)) % 15.96/16.25 (step @p396 :rule cong :premises (@p395) :args (@t59)) % 15.96/16.25 (step @p397 :rule eq-symm :args (@t10 tptp.sk_c5)) % 15.96/16.25 (step @p398 :rule cong :premises (@p397) :args (@t60)) % 15.96/16.25 (step @p399 :rule nary_cong :premises (@p398 @p396 @p394 @p392 @p390 @p388 @p386 @p384 @p382) :args (@t61)) % 15.96/16.25 (step @p400 :rule cong :premises (@p399) :args (@t63)) % 15.96/16.25 (step @p401 :rule trans :premises (@p400 @p380)) % 15.96/16.25 (step @p402 :rule trans :premises (@p401 @p376)) % 15.96/16.25 (step @p403 :rule eq_resolve :premises (@p21 @p402)) % 15.96/16.25 (step @p404 :rule reordering :premises (@p403) :args ((or @t137 @t76 @t140 @t122))) % 15.96/16.25 (assume-push @p1391 @t65) % 15.96/16.25 (assume-push @p1392 @t66) % 15.96/16.25 (assume-push @p1393 @t68) % 15.96/16.25 (assume-push @p1394 @t102) % 15.96/16.25 (assume-push @p1395 @t104) % 15.96/16.25 (assume-push @p1396 @t81) % 15.96/16.25 (assume-push @p1397 @t83) % 15.96/16.25 (assume-push @p1398 @t106) % 15.96/16.25 (assume-push @p1399 @t84) % 15.96/16.25 (assume-push @p1400 @t86) % 15.96/16.25 (assume-push @p1401 @t107) % 15.96/16.25 (assume-push @p1402 @t89) % 15.96/16.25 (assume-push @p1403 @t91) % 15.96/16.25 (assume-push @p1404 @t127) % 15.96/16.25 (assume-push @p1405 @t83) % 15.96/16.25 (assume-push @p1406 @t86) % 15.96/16.25 (assume-push @p1407 @t89) % 15.96/16.25 (assume-push @p1408 @t84) % 15.96/16.25 (assume-push @p1409 @t104) % 15.96/16.25 (assume-push @p1410 @t127) % 15.96/16.25 (assume-push @p1411 @t107) % 15.96/16.25 (assume-push @p1412 @t68) % 15.96/16.25 (assume-push @p1413 @t65) % 15.96/16.25 (assume-push @p1414 @t91) % 15.96/16.25 (assume-push @p1415 @t81) % 15.96/16.25 (assume-push @p1416 @t66) % 15.96/16.25 (assume-push @p1417 @t106) % 15.96/16.25 (assume-push @p1418 @t102) % 15.96/16.25 (step @p433 :rule symm :premises (@p1391)) % 15.96/16.25 (step @p79 :rule refl :args (tptp.sk_c7)) % 15.96/16.25 (step @p81 :rule symm :premises (@p55)) % 15.96/16.25 (step @p82 :rule refl :args (tptp.sk_c3)) % 15.96/16.25 (step @p83 :rule symm :premises (@p60)) % 15.96/16.25 (step @p84 :rule cong :premises (@p83 @p82) :args (@t88)) % 15.96/16.25 (step @p85 :rule symm :premises (@p61)) % 15.96/16.25 (step @p86 :rule trans :premises (@p85 @p84 @p81)) % 15.96/16.25 (step @p87 :rule cong :premises (@p86 @p79) :args (@t90)) % 15.96/16.25 (step @p88 :rule symm :premises (@p62)) % 15.96/16.25 (step @p89 :rule cong :premises (@p59 @p79) :args (@t80)) % 15.96/16.25 (step @p90 :rule trans :premises (@p54 @p89)) % 15.96/16.25 (step @p91 :rule refl :args (@t78)) % 15.96/16.25 (step @p92 :rule cong :premises (@p91 @p90) :args (@t92)) % 15.96/16.25 (step @p434 :rule symm :premises (@p1392)) % 15.96/16.25 (step @p435 :rule cong :premises (@p91 @p434) :args (@t85)) % 15.96/16.25 (step @p436 :rule trans :premises (@p60 @p435 @p92 @p88 @p87 @p433)) % 15.96/16.25 (step @p165 :rule symm :premises (@p124)) % 15.96/16.25 (step @p283 :rule refl :args (tptp.identity)) % 15.96/16.25 (step @p284 :rule symm :premises (@p59)) % 15.96/16.25 (step @p285 :rule cong :premises (@p284 @p283) :args (@t125)) % 15.96/16.25 (step @p286 :rule trans :premises (@p285 @p165 @p59)) % 15.96/16.25 (step @p287 :rule cong :premises (@p91 @p286) :args (@t126)) % 15.96/16.25 (step @p288 :rule symm :premises (@p86)) % 15.96/16.25 (step @p289 :rule cong :premises (@p288 @p283) :args (@t130)) % 15.96/16.25 (step @p437 :rule symm :premises (@p436)) % 15.96/16.25 (step @p170 :rule symm :premises (@p126)) % 15.96/16.25 (step @p171 :rule refl :args (tptp.sk_c4)) % 15.96/16.25 (step @p438 :rule trans :premises (@p60 @p435 @p92 @p88 @p87 @p433 @p1393)) % 15.96/16.25 (step @p439 :rule cong :premises (@p438 @p171) :args (@t105)) % 15.96/16.25 (step @p440 :rule trans :premises (@p125 @p439 @p170)) % 15.96/16.25 (step @p441 :rule cong :premises (@p440 @p437) :args (@t20)) % 15.96/16.25 (step @p442 :rule cong :premises (@p436 @p79) :args (@t80)) % 15.96/16.25 (step @p443 :rule trans :premises (@p54 @p442 @p1394 @p441 @p165)) % 15.96/16.25 (step @p444 :rule cong :premises (@p86 @p443) :args (@t90)) % 15.96/16.25 (step @p445 :rule trans :premises (@p60 @p435 @p92 @p88 @p444 @p289 @p222 @p287 @p85 @p84 @p81)) % 15.96/16.25 (step @p446 :rule cong :premises (@p445 @p436) :args (@t103)) % 15.96/16.25 (step @p447 :rule trans :premises (@p1394 @p441 @p446)) % 15.96/16.25 (step-pop @p1419 :rule scope :premises (@p447)) % 15.96/16.25 (step-pop @p1420 :rule scope :premises (@p1419)) % 15.96/16.25 (step-pop @p1421 :rule scope :premises (@p1420)) % 15.96/16.25 (step-pop @p1422 :rule scope :premises (@p1421)) % 15.96/16.25 (step-pop @p1423 :rule scope :premises (@p1422)) % 15.96/16.25 (step-pop @p1424 :rule scope :premises (@p1423)) % 15.96/16.25 (step-pop @p1425 :rule scope :premises (@p1424)) % 15.96/16.25 (step-pop @p1426 :rule scope :premises (@p1425)) % 15.96/16.25 (step-pop @p1427 :rule scope :premises (@p1426)) % 15.96/16.25 (step-pop @p1428 :rule scope :premises (@p1427)) % 15.96/16.25 (step-pop @p1429 :rule scope :premises (@p1428)) % 15.96/16.25 (step-pop @p1430 :rule scope :premises (@p1429)) % 15.96/16.25 (step-pop @p1431 :rule scope :premises (@p1430)) % 15.96/16.25 (step-pop @p1432 :rule scope :premises (@p1431)) % 15.96/16.25 (step @p448 :rule process_scope :premises (@p1432) :args (@t155)) % 15.96/16.25 (step @p463 :rule and_intro :premises (@p55 @p60 @p61 @p59 @p124 @p222 @p126 @p1393 @p1391 @p62 @p54 @p1392 @p125 @p1394)) % 15.96/16.25 (step @p464 :rule modus_ponens :premises (@p463 @p448)) % 15.96/16.25 (step-pop @p1433 :rule scope :premises (@p464)) % 15.96/16.25 (step-pop @p1434 :rule scope :premises (@p1433)) % 15.96/16.25 (step-pop @p1435 :rule scope :premises (@p1434)) % 15.96/16.25 (step-pop @p1436 :rule scope :premises (@p1435)) % 15.96/16.25 (step-pop @p1437 :rule scope :premises (@p1436)) % 15.96/16.25 (step-pop @p1438 :rule scope :premises (@p1437)) % 15.96/16.25 (step-pop @p1439 :rule scope :premises (@p1438)) % 15.96/16.25 (step-pop @p1440 :rule scope :premises (@p1439)) % 15.96/16.25 (step-pop @p1441 :rule scope :premises (@p1440)) % 15.96/16.25 (step-pop @p1442 :rule scope :premises (@p1441)) % 15.96/16.25 (step-pop @p1443 :rule scope :premises (@p1442)) % 15.96/16.25 (step-pop @p1444 :rule scope :premises (@p1443)) % 15.96/16.25 (step-pop @p1445 :rule scope :premises (@p1444)) % 15.96/16.25 (step-pop @p1446 :rule scope :premises (@p1445)) % 15.96/16.25 (step @p465 :rule process_scope :premises (@p1446) :args (@t155)) % 15.96/16.25 (step @p480 :rule implies_elim :premises (@p465)) % 15.96/16.25 (step @p481 :rule cnf_and_neg :args (@t156)) % 15.96/16.25 (step @p482 :rule resolution :premises (@p481 @p480) :args (true @t156)) % 15.96/16.25 (step @p483 :rule reordering :premises (@p482) :args ((or @t70 @t69 @t115 @t114 @t113 @t100 @t99 @t112 @t98 @t97 @t111 @t96 @t95 @t128 @t155))) % 15.96/16.25 (step @p484 :rule cnf_or_pos :args (@t158)) % 15.96/16.25 (step @p485 :rule reordering :premises (@p484) :args ((or @t117 @t157 @t159))) % 15.96/16.25 (assume-push @p1447 @t140) % 15.96/16.25 (step @p487 :rule instantiate :premises (@p1447) :args (@t77)) % 15.96/16.25 (step-pop @p1448 :rule scope :premises (@p487)) % 15.96/16.25 (step @p488 :rule process_scope :premises (@p1448) :args (@t158)) % 15.96/16.25 (step @p490 :rule implies_elim :premises (@p488)) % 15.96/16.25 (step @p491 :rule chain_m_resolution :premises (@p490 @p485 @p483 @p222 @p62 @p61 @p126 @p60 @p59 @p125 @p55 @p54 @p124 @p404 @p346 @p341 @p339 @p222 @p62 @p61 @p126 @p60 @p59 @p125 @p55 @p54 @p124 @p221 @p216 @p214 @p62 @p61 @p126 @p60 @p59 @p125 @p55 @p54 @p124 @p123 @p62 @p61 @p60 @p59 @p55 @p54 @p50 @p45 @p43 @p39 @p30 @p26) :args (@t64 (@list true false false false false false false false false false false false false true true false false false false false false false false false false false true true false false false false false false false false false false false false false false false false false true true false false false false) (@list @t158 @t155 @t127 @t91 @t89 @t107 @t86 @t84 @t106 @t83 @t81 @t104 @t140 @t137 @t132 @t124 @t127 @t91 @t89 @t107 @t86 @t84 @t106 @t83 @t81 @t104 @t122 @t118 @t109 @t91 @t89 @t107 @t86 @t84 @t106 @t83 @t81 @t104 @t93 @t91 @t89 @t86 @t84 @t83 @t81 @t76 @t71 @t68 @t102 @t66 @t65))) % 15.96/16.25 (step @p492 :rule cnf_or_pos :args (@t163)) % 15.96/16.25 (step @p493 :rule reordering :premises (@p492) :args ((or @t162 @t160 (not @t163)))) % 15.96/16.25 (assume-push @p1449 @t137) % 15.96/16.25 (step @p495 :rule instantiate :premises (@p1449) :args (@t164)) % 15.96/16.25 (step-pop @p1450 :rule scope :premises (@p495)) % 15.96/16.25 (step @p496 :rule process_scope :premises (@p1450) :args (@t163)) % 15.96/16.25 (step @p498 :rule implies_elim :premises (@p496)) % 15.96/16.25 (assume-push @p1451 @t9) % 15.96/16.25 (step @p500 :rule instantiate :premises (@p3) :args (@t165)) % 15.96/16.25 (step-pop @p1452 :rule scope :premises (@p500)) % 15.96/16.25 (step @p501 :rule process_scope :premises (@p1452) :args (@t169)) % 15.96/16.25 (step @p503 :rule implies_elim :premises (@p501)) % 15.96/16.25 (assume-push @p1453 @t170) % 15.96/16.25 (step @p505 :rule instantiate :premises (@p58) :args (@t164)) % 15.96/16.25 (step-pop @p1454 :rule scope :premises (@p505)) % 15.96/16.25 (step @p506 :rule process_scope :premises (@p1454) :args (@t171)) % 15.96/16.25 (step @p508 :rule implies_elim :premises (@p506)) % 15.96/16.25 (assume-push @p1455 @t172) % 15.96/16.25 (step @p510 :rule instantiate :premises (@p53) :args (@t173)) % 15.96/16.25 (step-pop @p1456 :rule scope :premises (@p510)) % 15.96/16.25 (step @p511 :rule process_scope :premises (@p1456) :args (@t175)) % 15.96/16.25 (step @p513 :rule implies_elim :premises (@p511)) % 15.96/16.25 (assume-push @p1457 @t172) % 15.96/16.25 (step-pop @p1458 :rule scope :premises (@p124)) % 15.96/16.25 (step @p515 :rule process_scope :premises (@p1458) :args (@t104)) % 15.96/16.25 (step @p517 :rule implies_elim :premises (@p515)) % 15.96/16.25 (assume-push @p1459 @t161) % 15.96/16.25 (assume-push @p1460 @t64) % 15.96/16.25 (assume-push @p1461 @t104) % 15.96/16.25 (assume-push @p1462 @t175) % 15.96/16.25 (assume-push @p1463 @t171) % 15.96/16.25 (assume-push @p1464 @t169) % 15.96/16.25 (assume-push @p1465 @t64) % 15.96/16.25 (assume-push @p1466 @t161) % 15.96/16.25 (assume-push @p1467 @t169) % 15.96/16.25 (assume-push @p1468 @t171) % 15.96/16.25 (assume-push @p1469 @t175) % 15.96/16.25 (assume-push @p1470 @t104) % 15.96/16.25 (step @p79 :rule refl :args (tptp.sk_c7)) % 15.96/16.25 (step @p530 :rule symm :premises (@p1459)) % 15.96/16.25 (step @p531 :rule symm :premises (@p1460)) % 15.96/16.25 (step @p532 :rule cong :premises (@p531 @p530) :args (@t166)) % 15.96/16.25 (step @p500 :rule instantiate :premises (@p3) :args (@t165)) % 15.96/16.25 (step @p510 :rule instantiate :premises (@p53) :args (@t173)) % 15.96/16.25 (step @p533 :rule symm :premises (@p510)) % 15.96/16.25 (step @p505 :rule instantiate :premises (@p58) :args (@t164)) % 15.96/16.25 (step @p534 :rule cong :premises (@p505 @p533) :args (@t176)) % 15.96/16.25 (step @p165 :rule symm :premises (@p124)) % 15.96/16.25 (step @p535 :rule cong :premises (@p165 @p510) :args (@t177)) % 15.96/16.25 (step @p536 :rule cong :premises (@p124 @p366) :args (@t174)) % 15.96/16.25 (step @p537 :rule trans :premises (@p510 @p536 @p535 @p534 @p500 @p532)) % 15.96/16.25 (step @p538 :rule cong :premises (@p537 @p79) :args (@t10)) % 15.96/16.25 (step @p539 :rule trans :premises (@p510 @p536 @p535 @p534 @p500 @p532 @p538)) % 15.96/16.25 (step-pop @p1471 :rule scope :premises (@p539)) % 15.96/16.25 (step-pop @p1472 :rule scope :premises (@p1471)) % 15.96/16.25 (step-pop @p1473 :rule scope :premises (@p1472)) % 15.96/16.25 (step-pop @p1474 :rule scope :premises (@p1473)) % 15.96/16.25 (step-pop @p1475 :rule scope :premises (@p1474)) % 15.96/16.25 (step-pop @p1476 :rule scope :premises (@p1475)) % 15.96/16.25 (step @p540 :rule process_scope :premises (@p1476) :args (@t178)) % 15.96/16.25 (step @p510 :rule instantiate :premises (@p53) :args (@t173)) % 15.96/16.25 (step @p505 :rule instantiate :premises (@p58) :args (@t164)) % 15.96/16.25 (step @p500 :rule instantiate :premises (@p3) :args (@t165)) % 15.96/16.25 (step @p547 :rule and_intro :premises (@p1460 @p1459 @p500 @p505 @p510 @p124)) % 15.96/16.25 (step @p548 :rule modus_ponens :premises (@p547 @p540)) % 15.96/16.25 (step-pop @p1477 :rule scope :premises (@p548)) % 15.96/16.25 (step-pop @p1478 :rule scope :premises (@p1477)) % 15.96/16.25 (step-pop @p1479 :rule scope :premises (@p1478)) % 15.96/16.25 (step-pop @p1480 :rule scope :premises (@p1479)) % 15.96/16.25 (step-pop @p1481 :rule scope :premises (@p1480)) % 15.96/16.25 (step-pop @p1482 :rule scope :premises (@p1481)) % 15.96/16.25 (step @p549 :rule process_scope :premises (@p1482) :args (@t178)) % 15.96/16.25 (step @p556 :rule implies_elim :premises (@p549)) % 15.96/16.25 (step @p557 :rule cnf_and_neg :args (@t179)) % 15.96/16.25 (step @p558 :rule resolution :premises (@p557 @p556) :args (true @t179)) % 15.96/16.25 (step @p559 :rule reordering :premises (@p558) :args ((or @t162 @t160 @t113 @t182 @t178 @t181 @t180))) % 15.96/16.25 (step @p560 :rule cnf_or_pos :args (@t188)) % 15.96/16.25 (step @p561 :rule reordering :premises (@p560) :args ((or @t187 @t185 (not @t188)))) % 15.96/16.25 (assume-push @p1483 @t122) % 15.96/16.25 (step @p563 :rule instantiate :premises (@p1483) :args (@t189)) % 15.96/16.25 (step-pop @p1484 :rule scope :premises (@p563)) % 15.96/16.25 (step @p564 :rule process_scope :premises (@p1484) :args (@t188)) % 15.96/16.25 (step @p566 :rule implies_elim :premises (@p564)) % 15.96/16.25 (step @p510 :rule instantiate :premises (@p53) :args (@t173)) % 15.96/16.25 (step @p567 :rule instantiate :premises (@p58) :args (@t173)) % 15.96/16.25 (step @p568 :rule instantiate :premises (@p53) :args (@t164)) % 15.96/16.25 (step @p505 :rule instantiate :premises (@p58) :args (@t164)) % 15.96/16.25 (step @p500 :rule instantiate :premises (@p3) :args (@t165)) % 15.96/16.25 (step @p569 :rule instantiate :premises (@p3) :args ((@list @t190 tptp.sk_c6 tptp.sk_c7))) % 15.96/16.25 (step @p570 :rule instantiate :premises (@p53) :args (@t189)) % 15.96/16.25 (step @p571 :rule instantiate :premises (@p3) :args ((@list @t190 tptp.sk_c6 tptp.sk_c1))) % 15.96/16.25 (step @p572 :rule instantiate :premises (@p58) :args (@t189)) % 15.96/16.25 (step @p573 :rule instantiate :premises (@p3) :args ((@list @t190 tptp.sk_c6 tptp.sk_c2))) % 15.96/16.25 (assume-push @p1485 @t161) % 15.96/16.25 (assume-push @p1486 @t64) % 15.96/16.25 (assume-push @p1487 @t186) % 15.96/16.25 (assume-push @p1488 @t184) % 15.96/16.25 (assume-push @p1489 @t104) % 15.96/16.25 (assume-push @p1490 @t81) % 15.96/16.25 (assume-push @p1491 @t175) % 15.96/16.25 (assume-push @p1492 @t192) % 15.96/16.25 (assume-push @p1493 @t194) % 15.96/16.25 (assume-push @p1494 @t171) % 15.96/16.25 (assume-push @p1495 @t169) % 15.96/16.25 (assume-push @p1496 @t196) % 15.96/16.25 (assume-push @p1497 @t197) % 15.96/16.25 (assume-push @p1498 @t201) % 15.96/16.25 (assume-push @p1499 @t203) % 15.96/16.25 (assume-push @p1500 @t207) % 15.96/16.25 (assume-push @p1501 @t64) % 15.96/16.25 (assume-push @p1502 @t161) % 15.96/16.25 (assume-push @p1503 @t169) % 15.96/16.25 (assume-push @p1504 @t171) % 15.96/16.25 (assume-push @p1505 @t175) % 15.96/16.25 (assume-push @p1506 @t104) % 15.96/16.25 (assume-push @p1507 @t184) % 15.96/16.25 (assume-push @p1508 @t197) % 15.96/16.25 (assume-push @p1509 @t192) % 15.96/16.25 (assume-push @p1510 @t207) % 15.96/16.25 (assume-push @p1511 @t186) % 15.96/16.25 (assume-push @p1512 @t203) % 15.96/16.25 (assume-push @p1513 @t201) % 15.96/16.25 (assume-push @p1514 @t194) % 15.96/16.25 (assume-push @p1515 @t81) % 15.96/16.25 (assume-push @p1516 @t196) % 15.96/16.25 (step @p606 :rule symm :premises (@p1485)) % 15.96/16.25 (step @p607 :rule symm :premises (@p1486)) % 15.96/16.25 (step @p608 :rule cong :premises (@p607 @p606) :args (@t166)) % 15.96/16.25 (step @p533 :rule symm :premises (@p510)) % 15.96/16.25 (step @p534 :rule cong :premises (@p505 @p533) :args (@t176)) % 15.96/16.25 (step @p165 :rule symm :premises (@p124)) % 15.96/16.25 (step @p535 :rule cong :premises (@p165 @p510) :args (@t177)) % 15.96/16.25 (step @p536 :rule cong :premises (@p124 @p366) :args (@t174)) % 15.96/16.25 (step @p609 :rule symm :premises (@p1488)) % 15.96/16.25 (step @p610 :rule trans :premises (@p510 @p536 @p535 @p534 @p500 @p608)) % 15.96/16.25 (step @p611 :rule symm :premises (@p570)) % 15.96/16.25 (step @p612 :rule refl :args (tptp.sk_c2)) % 15.96/16.25 (step @p613 :rule symm :premises (@p567)) % 15.96/16.25 (step @p614 :rule cong :premises (@p613 @p612) :args (@t206)) % 15.96/16.25 (step @p615 :rule symm :premises (@p573)) % 15.96/16.25 (step @p616 :rule symm :premises (@p1487)) % 15.96/16.25 (step @p617 :rule cong :premises (@p616 @p612) :args (@t202)) % 15.96/16.25 (step @p618 :rule symm :premises (@p505)) % 15.96/16.25 (step @p619 :rule refl :args (tptp.sk_c1)) % 15.96/16.25 (step @p620 :rule cong :premises (@p1486 @p619) :args (@t198)) % 15.96/16.25 (step @p621 :rule trans :premises (@p620 @p618 @p572 @p617)) % 15.96/16.25 (step @p622 :rule refl :args (@t190)) % 15.96/16.25 (step @p623 :rule cong :premises (@p622 @p621) :args (@t199)) % 15.96/16.25 (step @p624 :rule cong :premises (@p567 @p619) :args (@t193)) % 15.96/16.25 (step @p625 :rule trans :premises (@p568 @p624 @p571 @p623 @p615 @p614 @p611)) % 15.96/16.25 (step @p626 :rule cong :premises (@p625 @p610) :args (@t14)) % 15.96/16.25 (step @p627 :rule symm :premises (@p54)) % 15.96/16.25 (step @p79 :rule refl :args (tptp.sk_c7)) % 15.96/16.25 (step @p628 :rule cong :premises (@p613 @p79) :args (@t195)) % 15.96/16.25 (step @p629 :rule symm :premises (@p569)) % 15.96/16.25 (step @p630 :rule cong :premises (@p622 @p610) :args (@t191)) % 15.96/16.25 (step @p631 :rule trans :premises (@p567 @p630 @p629 @p628 @p627 @p1485 @p626 @p609 @p510 @p536 @p535 @p534 @p500 @p608)) % 15.96/16.25 (step @p632 :rule cong :premises (@p631) :args ((tptp.inverse tptp.identity))) % 15.96/16.25 (step @p633 :rule symm :premises (@p630)) % 15.96/16.25 (step @p634 :rule trans :premises (@p620 @p618 @p567 @p630 @p629 @p628 @p627 @p1485 @p626 @p609 @p510 @p536 @p535 @p534 @p500 @p608)) % 15.96/16.25 (step @p635 :rule cong :premises (@p622 @p634) :args (@t199)) % 15.96/16.25 (step @p636 :rule symm :premises (@p623)) % 15.96/16.25 (step @p637 :rule symm :premises (@p614)) % 15.96/16.25 (step @p638 :rule trans :premises (@p570 @p637 @p573 @p636 @p635 @p633 @p613)) % 15.96/16.25 (step @p639 :rule cong :premises (@p638) :args (@t32)) % 15.96/16.25 (step @p640 :rule trans :premises (@p1485 @p626 @p609 @p1487 @p639 @p632)) % 15.96/16.25 (step-pop @p1517 :rule scope :premises (@p640)) % 15.96/16.25 (step-pop @p1518 :rule scope :premises (@p1517)) % 15.96/16.25 (step-pop @p1519 :rule scope :premises (@p1518)) % 15.96/16.25 (step-pop @p1520 :rule scope :premises (@p1519)) % 15.96/16.25 (step-pop @p1521 :rule scope :premises (@p1520)) % 15.96/16.25 (step-pop @p1522 :rule scope :premises (@p1521)) % 15.96/16.25 (step-pop @p1523 :rule scope :premises (@p1522)) % 15.96/16.25 (step-pop @p1524 :rule scope :premises (@p1523)) % 15.96/16.25 (step-pop @p1525 :rule scope :premises (@p1524)) % 15.96/16.25 (step-pop @p1526 :rule scope :premises (@p1525)) % 15.96/16.25 (step-pop @p1527 :rule scope :premises (@p1526)) % 15.96/16.25 (step-pop @p1528 :rule scope :premises (@p1527)) % 15.96/16.25 (step-pop @p1529 :rule scope :premises (@p1528)) % 15.96/16.25 (step-pop @p1530 :rule scope :premises (@p1529)) % 15.96/16.25 (step-pop @p1531 :rule scope :premises (@p1530)) % 15.96/16.25 (step-pop @p1532 :rule scope :premises (@p1531)) % 15.96/16.25 (step @p641 :rule process_scope :premises (@p1532) :args (@t208)) % 15.96/16.25 (step @p658 :rule and_intro :premises (@p1486 @p1485 @p500 @p505 @p510 @p124 @p1488 @p570 @p567 @p573 @p1487 @p572 @p571 @p568 @p54 @p569)) % 15.96/16.25 (step @p659 :rule modus_ponens :premises (@p658 @p641)) % 15.96/16.25 (step-pop @p1533 :rule scope :premises (@p659)) % 15.96/16.25 (step-pop @p1534 :rule scope :premises (@p1533)) % 15.96/16.25 (step-pop @p1535 :rule scope :premises (@p1534)) % 15.96/16.25 (step-pop @p1536 :rule scope :premises (@p1535)) % 15.96/16.25 (step-pop @p1537 :rule scope :premises (@p1536)) % 15.96/16.25 (step-pop @p1538 :rule scope :premises (@p1537)) % 15.96/16.25 (step-pop @p1539 :rule scope :premises (@p1538)) % 15.96/16.25 (step-pop @p1540 :rule scope :premises (@p1539)) % 15.96/16.25 (step-pop @p1541 :rule scope :premises (@p1540)) % 15.96/16.25 (step-pop @p1542 :rule scope :premises (@p1541)) % 15.96/16.25 (step-pop @p1543 :rule scope :premises (@p1542)) % 15.96/16.25 (step-pop @p1544 :rule scope :premises (@p1543)) % 15.96/16.25 (step-pop @p1545 :rule scope :premises (@p1544)) % 15.96/16.25 (step-pop @p1546 :rule scope :premises (@p1545)) % 15.96/16.25 (step-pop @p1547 :rule scope :premises (@p1546)) % 15.96/16.25 (step-pop @p1548 :rule scope :premises (@p1547)) % 15.96/16.25 (step @p660 :rule process_scope :premises (@p1548) :args (@t208)) % 15.96/16.25 (step @p677 :rule implies_elim :premises (@p660)) % 15.96/16.25 (step @p678 :rule cnf_and_neg :args (@t209)) % 15.96/16.25 (step @p679 :rule resolution :premises (@p678 @p677) :args (true @t209)) % 15.96/16.25 (step @p680 :rule reordering :premises (@p679) :args ((or @t162 @t160 @t187 @t185 @t113 @t100 @t182 @t216 @t208 @t215 @t181 @t180 @t214 @t213 @t212 @t211 @t210))) % 15.96/16.25 (step @p681 :rule cnf_or_pos :args (@t219)) % 15.96/16.25 (step @p682 :rule reordering :premises (@p681) :args ((or @t218 @t217 (not @t219)))) % 15.96/16.25 (assume-push @p1549 @t76) % 15.96/16.25 (step @p684 :rule instantiate :premises (@p1549) :args ((@list @t10))) % 15.96/16.25 (step-pop @p1550 :rule scope :premises (@p684)) % 15.96/16.25 (step @p685 :rule process_scope :premises (@p1550) :args (@t219)) % 15.96/16.25 (step @p687 :rule implies_elim :premises (@p685)) % 15.96/16.25 (assume-push @p1551 @t161) % 15.96/16.25 (assume-push @p1552 @t64) % 15.96/16.25 (assume-push @p1553 @t186) % 15.96/16.25 (assume-push @p1554 @t184) % 15.96/16.25 (assume-push @p1555 @t104) % 15.96/16.25 (assume-push @p1556 @t175) % 15.96/16.25 (assume-push @p1557 @t192) % 15.96/16.25 (assume-push @p1558 @t194) % 15.96/16.25 (assume-push @p1559 @t171) % 15.96/16.25 (assume-push @p1560 @t169) % 15.96/16.25 (assume-push @p1561 @t197) % 15.96/16.25 (assume-push @p1562 @t201) % 15.96/16.25 (assume-push @p1563 @t203) % 15.96/16.25 (assume-push @p1564 @t207) % 15.96/16.25 (assume-push @p1565 @t194) % 15.96/16.25 (assume-push @p1566 @t192) % 15.96/16.25 (assume-push @p1567 @t201) % 15.96/16.25 (assume-push @p1568 @t64) % 15.96/16.25 (assume-push @p1569 @t171) % 15.96/16.25 (assume-push @p1570 @t203) % 15.96/16.25 (assume-push @p1571 @t186) % 15.96/16.25 (assume-push @p1572 @t207) % 15.96/16.25 (assume-push @p1573 @t197) % 15.96/16.25 (assume-push @p1574 @t175) % 15.96/16.25 (assume-push @p1575 @t104) % 15.96/16.25 (assume-push @p1576 @t169) % 15.96/16.25 (assume-push @p1577 @t161) % 15.96/16.25 (assume-push @p1578 @t184) % 15.96/16.25 (step @p533 :rule symm :premises (@p510)) % 15.96/16.25 (step @p165 :rule symm :premises (@p124)) % 15.96/16.25 (step @p716 :rule cong :premises (@p165 @p366) :args (@t177)) % 15.96/16.25 (step @p717 :rule cong :premises (@p124 @p533) :args (@t176)) % 15.96/16.25 (step @p618 :rule symm :premises (@p505)) % 15.96/16.25 (step @p718 :rule cong :premises (@p618 @p510) :args (@t168)) % 15.96/16.25 (step @p719 :rule symm :premises (@p500)) % 15.96/16.25 (step @p720 :rule cong :premises (@p1552 @p1551) :args (@t10)) % 15.96/16.25 (step @p721 :rule trans :premises (@p720 @p719 @p718 @p717 @p716 @p533)) % 15.96/16.25 (step @p722 :rule symm :premises (@p568)) % 15.96/16.25 (step @p619 :rule refl :args (tptp.sk_c1)) % 15.96/16.25 (step @p613 :rule symm :premises (@p567)) % 15.96/16.25 (step @p723 :rule cong :premises (@p613 @p619) :args (@t200)) % 15.96/16.25 (step @p724 :rule symm :premises (@p571)) % 15.96/16.25 (step @p725 :rule symm :premises (@p1552)) % 15.96/16.25 (step @p726 :rule cong :premises (@p725 @p619) :args (@t167)) % 15.96/16.25 (step @p727 :rule symm :premises (@p572)) % 15.96/16.25 (step @p612 :rule refl :args (tptp.sk_c2)) % 15.96/16.25 (step @p728 :rule cong :premises (@p1553 @p612) :args (@t204)) % 15.96/16.25 (step @p729 :rule trans :premises (@p728 @p727 @p505 @p726)) % 15.96/16.25 (step @p622 :rule refl :args (@t190)) % 15.96/16.25 (step @p730 :rule cong :premises (@p622 @p729) :args (@t205)) % 15.96/16.25 (step @p614 :rule cong :premises (@p613 @p612) :args (@t206)) % 15.96/16.25 (step @p637 :rule symm :premises (@p614)) % 15.96/16.25 (step @p731 :rule trans :premises (@p570 @p637 @p573 @p730 @p724 @p723 @p722)) % 15.96/16.25 (step @p732 :rule cong :premises (@p731 @p721) :args (@t183)) % 15.96/16.25 (step @p733 :rule trans :premises (@p720 @p719 @p718 @p717 @p716 @p533 @p1554 @p732)) % 15.96/16.25 (step-pop @p1579 :rule scope :premises (@p733)) % 15.96/16.25 (step-pop @p1580 :rule scope :premises (@p1579)) % 15.96/16.25 (step-pop @p1581 :rule scope :premises (@p1580)) % 15.96/16.25 (step-pop @p1582 :rule scope :premises (@p1581)) % 15.96/16.25 (step-pop @p1583 :rule scope :premises (@p1582)) % 15.96/16.25 (step-pop @p1584 :rule scope :premises (@p1583)) % 15.96/16.25 (step-pop @p1585 :rule scope :premises (@p1584)) % 15.96/16.25 (step-pop @p1586 :rule scope :premises (@p1585)) % 15.96/16.25 (step-pop @p1587 :rule scope :premises (@p1586)) % 15.96/16.25 (step-pop @p1588 :rule scope :premises (@p1587)) % 15.96/16.25 (step-pop @p1589 :rule scope :premises (@p1588)) % 15.96/16.25 (step-pop @p1590 :rule scope :premises (@p1589)) % 15.96/16.25 (step-pop @p1591 :rule scope :premises (@p1590)) % 15.96/16.25 (step-pop @p1592 :rule scope :premises (@p1591)) % 15.96/16.25 (step @p734 :rule process_scope :premises (@p1592) :args (@t220)) % 15.96/16.25 (step @p749 :rule and_intro :premises (@p568 @p567 @p571 @p1552 @p505 @p572 @p1553 @p573 @p570 @p510 @p124 @p500 @p1551 @p1554)) % 15.96/16.25 (step @p750 :rule modus_ponens :premises (@p749 @p734)) % 15.96/16.25 (step-pop @p1593 :rule scope :premises (@p750)) % 15.96/16.25 (step-pop @p1594 :rule scope :premises (@p1593)) % 15.96/16.25 (step-pop @p1595 :rule scope :premises (@p1594)) % 15.96/16.25 (step-pop @p1596 :rule scope :premises (@p1595)) % 15.96/16.25 (step-pop @p1597 :rule scope :premises (@p1596)) % 15.96/16.25 (step-pop @p1598 :rule scope :premises (@p1597)) % 15.96/16.25 (step-pop @p1599 :rule scope :premises (@p1598)) % 15.96/16.25 (step-pop @p1600 :rule scope :premises (@p1599)) % 15.96/16.25 (step-pop @p1601 :rule scope :premises (@p1600)) % 15.96/16.25 (step-pop @p1602 :rule scope :premises (@p1601)) % 15.96/16.25 (step-pop @p1603 :rule scope :premises (@p1602)) % 15.96/16.25 (step-pop @p1604 :rule scope :premises (@p1603)) % 15.96/16.25 (step-pop @p1605 :rule scope :premises (@p1604)) % 15.96/16.25 (step-pop @p1606 :rule scope :premises (@p1605)) % 15.96/16.25 (step @p751 :rule process_scope :premises (@p1606) :args (@t220)) % 15.96/16.25 (step @p766 :rule implies_elim :premises (@p751)) % 15.96/16.25 (step @p767 :rule cnf_and_neg :args (@t221)) % 15.96/16.25 (step @p768 :rule resolution :premises (@p767 @p766) :args (true @t221)) % 15.96/16.25 (step @p769 :rule cnf_or_pos :args (@t223)) % 15.96/16.25 (step @p770 :rule reordering :premises (@p769) :args ((or @t160 @t222 (not @t223)))) % 15.96/16.25 (assume-push @p1607 @t140) % 15.96/16.25 (step @p772 :rule instantiate :premises (@p1607) :args (@t164)) % 15.96/16.25 (step-pop @p1608 :rule scope :premises (@p772)) % 15.96/16.25 (step @p773 :rule process_scope :premises (@p1608) :args (@t223)) % 15.96/16.25 (step @p775 :rule implies_elim :premises (@p773)) % 15.96/16.25 (step @p776 :rule chain_m_resolution :premises (@p775 @p770 @p768 @p573 @p572 @p571 @p570 @p500 @p505 @p568 @p567 @p510 @p124 @p404 @p687 @p682 @p680 @p573 @p572 @p571 @p570 @p569 @p500 @p505 @p568 @p567 @p510 @p54 @p124 @p566 @p561 @p559 @p517 @p513 @p53 @p508 @p58 @p503 @p3 @p498 @p493) :args ((or @t162 @t160 @t187 @t185) (@list true false false false false false false false false false false false false true true false false false false false false false false false false false false false true true false false false false false false false false true true) (@list @t223 @t220 @t207 @t203 @t201 @t197 @t169 @t171 @t194 @t192 @t175 @t104 @t140 @t76 @t219 @t208 @t207 @t203 @t201 @t197 @t196 @t169 @t171 @t194 @t192 @t175 @t81 @t104 @t122 @t188 @t178 @t104 @t175 @t172 @t171 @t170 @t169 @t9 @t137 @t163))) % 15.96/16.25 (step @p777 :rule refl :args (@t65)) % 15.96/16.25 (step @p612 :rule refl :args (tptp.sk_c2)) % 15.96/16.25 (step @p778 :rule cong :premises (@p612 @p32) :args (@t36)) % 15.96/16.25 (step @p779 :rule cong :premises (@p366 @p778) :args (@t224)) % 15.96/16.25 (step @p780 :rule nary_cong :premises (@p779 @p777) :args ((or @t224 @t65))) % 15.96/16.25 (step @p781 :rule eq-symm :args (@t36 tptp.sk_c6)) % 15.96/16.25 (step @p782 :rule nary_cong :premises (@p781 @p22) :args (@t38)) % 15.96/16.25 (step @p783 :rule trans :premises (@p782 @p780)) % 15.96/16.25 (step @p784 :rule eq_resolve :premises (@p17 @p783)) % 15.96/16.25 (step @p785 :rule reordering :premises (@p784) :args ((or @t65 @t184))) % 15.96/16.25 (step @p786 :rule refl :args (@t66)) % 15.96/16.25 (step @p787 :rule nary_cong :premises (@p779 @p786) :args ((or @t224 @t66))) % 15.96/16.25 (step @p788 :rule nary_cong :premises (@p781 @p27) :args (@t39)) % 15.96/16.25 (step @p789 :rule trans :premises (@p788 @p787)) % 15.96/16.25 (step @p790 :rule eq_resolve :premises (@p18 @p789)) % 15.96/16.25 (step @p791 :rule reordering :premises (@p790) :args ((or @t66 @t184))) % 15.96/16.25 (step @p792 :rule refl :args (@t210)) % 15.96/16.25 (step @p793 :rule refl :args (@t211)) % 15.96/16.25 (step @p794 :rule refl :args (@t212)) % 15.96/16.25 (step @p795 :rule refl :args (@t213)) % 15.96/16.25 (step @p796 :rule refl :args (@t214)) % 15.96/16.25 (step @p797 :rule refl :args (@t180)) % 15.96/16.25 (step @p798 :rule refl :args (@t181)) % 15.96/16.25 (step @p799 :rule refl :args (@t215)) % 15.96/16.25 (step @p800 :rule refl :args (@t216)) % 15.96/16.25 (step @p801 :rule refl :args (@t182)) % 15.96/16.25 (step @p802 :rule bool-double-not-elim :args (@t184)) % 15.96/16.25 (step @p803 :rule refl :args (@t187)) % 15.96/16.25 (step @p804 :rule refl :args (@t160)) % 15.96/16.25 (step @p805 :rule refl :args (@t162)) % 15.96/16.25 (step @p806 :rule nary_cong :premises (@p805 @p237 @p236 @p804 @p803 @p802 @p233 @p232 @p801 @p800 @p799 @p231 @p798 @p797 @p796 @p229 @p228 @p795 @p794 @p793 @p226 @p792) :args ((or @t162 @t70 @t69 @t160 @t187 (not @t185) @t113 @t100 @t182 @t216 @t215 @t99 @t181 @t180 @t214 @t98 @t97 @t213 @t212 @t211 @t96 @t210))) % 15.96/16.25 (assume-push @p1609 @t222) % 15.96/16.25 (assume-push @p1610 @t220) % 15.96/16.25 (step @p809 :rule evaluate :args ((= false true))) % 15.96/16.25 (step @p810 :rule true_intro :premises (@p1610)) % 15.96/16.25 (step @p811 :rule false_intro :premises (@p1609)) % 15.96/16.25 (step @p812 :rule symm :premises (@p811)) % 15.96/16.25 (step @p813 :rule trans :premises (@p812 @p810)) % 15.96/16.25 (step @p814 false :rule eq_resolve :premises (@p813 @p809)) % 15.96/16.25 (step-pop @p1611 :rule scope :premises (@p814)) % 15.96/16.25 (step-pop @p1612 :rule scope :premises (@p1611)) % 15.96/16.25 (step @p815 :rule process_scope :premises (@p1612) :args (false)) % 15.96/16.25 (assume-push @p1613 @t161) % 15.96/16.25 (assume-push @p1614 @t65) % 15.96/16.25 (assume-push @p1615 @t66) % 15.96/16.25 (assume-push @p1616 @t64) % 15.96/16.25 (assume-push @p1617 @t186) % 15.96/16.25 (assume-push @p1618 @t185) % 15.96/16.25 (assume-push @p1619 @t104) % 15.96/16.25 (assume-push @p1620 @t81) % 15.96/16.25 (assume-push @p1621 @t175) % 15.96/16.25 (assume-push @p1622 @t192) % 15.96/16.25 (assume-push @p1623 @t194) % 15.96/16.25 (assume-push @p1624 @t83) % 15.96/16.25 (assume-push @p1625 @t171) % 15.96/16.25 (assume-push @p1626 @t169) % 15.96/16.25 (assume-push @p1627 @t196) % 15.96/16.25 (assume-push @p1628 @t84) % 15.96/16.25 (assume-push @p1629 @t86) % 15.96/16.25 (assume-push @p1630 @t197) % 15.96/16.25 (assume-push @p1631 @t201) % 15.96/16.25 (assume-push @p1632 @t203) % 15.96/16.25 (assume-push @p1633 @t89) % 15.96/16.25 (assume-push @p1634 @t207) % 15.96/16.25 (assume-push @p1635 @t161) % 15.96/16.25 (assume-push @p1636 @t81) % 15.96/16.25 (assume-push @p1637 @t192) % 15.96/16.25 (assume-push @p1638 @t196) % 15.96/16.25 (assume-push @p1639 @t64) % 15.96/16.25 (assume-push @p1640 @t169) % 15.96/16.25 (assume-push @p1641 @t171) % 15.96/16.25 (assume-push @p1642 @t175) % 15.96/16.25 (assume-push @p1643 @t104) % 15.96/16.25 (assume-push @p1644 @t86) % 15.96/16.25 (assume-push @p1645 @t66) % 15.96/16.25 (assume-push @p1646 @t84) % 15.96/16.25 (assume-push @p1647 @t89) % 15.96/16.25 (assume-push @p1648 @t83) % 15.96/16.25 (assume-push @p1649 @t65) % 15.96/16.25 (step @p627 :rule symm :premises (@p54)) % 15.96/16.25 (step @p79 :rule refl :args (tptp.sk_c7)) % 15.96/16.25 (step @p613 :rule symm :premises (@p567)) % 15.96/16.25 (step @p628 :rule cong :premises (@p613 @p79) :args (@t195)) % 15.96/16.25 (step @p629 :rule symm :premises (@p569)) % 15.96/16.25 (step @p855 :rule symm :premises (@p1613)) % 15.96/16.25 (step @p856 :rule symm :premises (@p1616)) % 15.96/16.25 (step @p857 :rule cong :premises (@p856 @p855) :args (@t166)) % 15.96/16.25 (step @p533 :rule symm :premises (@p510)) % 15.96/16.25 (step @p534 :rule cong :premises (@p505 @p533) :args (@t176)) % 15.96/16.25 (step @p165 :rule symm :premises (@p124)) % 15.96/16.25 (step @p535 :rule cong :premises (@p165 @p510) :args (@t177)) % 15.96/16.25 (step @p536 :rule cong :premises (@p124 @p366) :args (@t174)) % 15.96/16.25 (step @p858 :rule trans :premises (@p510 @p536 @p535 @p534 @p500 @p857)) % 15.96/16.25 (step @p622 :rule refl :args (@t190)) % 15.96/16.25 (step @p859 :rule cong :premises (@p622 @p858) :args (@t191)) % 15.96/16.25 (step @p283 :rule refl :args (tptp.identity)) % 15.96/16.25 (step @p83 :rule symm :premises (@p60)) % 15.96/16.25 (step @p284 :rule symm :premises (@p59)) % 15.96/16.25 (step @p860 :rule trans :premises (@p284 @p567 @p859 @p629 @p628 @p627 @p1615)) % 15.96/16.25 (step @p91 :rule refl :args (@t78)) % 15.96/16.25 (step @p861 :rule cong :premises (@p91 @p860) :args (@t87)) % 15.96/16.25 (step @p82 :rule refl :args (tptp.sk_c3)) % 15.96/16.25 (step @p862 :rule cong :premises (@p60 @p82) :args (@t82)) % 15.96/16.25 (step @p863 :rule trans :premises (@p55 @p862 @p61 @p861 @p83)) % 15.96/16.25 (step @p864 :rule cong :premises (@p863 @p283) :args (@t130)) % 15.96/16.25 (step @p865 :rule symm :premises (@p859)) % 15.96/16.25 (step @p866 :rule symm :premises (@p628)) % 15.96/16.25 (step @p867 :rule trans :premises (@p54 @p866 @p569 @p865 @p613)) % 15.96/16.25 (step @p868 :rule cong :premises (@p82 @p867) :args (@t12)) % 15.96/16.25 (step @p716 :rule cong :premises (@p165 @p366) :args (@t177)) % 15.96/16.25 (step @p717 :rule cong :premises (@p124 @p533) :args (@t176)) % 15.96/16.25 (step @p618 :rule symm :premises (@p505)) % 15.96/16.25 (step @p718 :rule cong :premises (@p618 @p510) :args (@t168)) % 15.96/16.25 (step @p719 :rule symm :premises (@p500)) % 15.96/16.25 (step @p869 :rule symm :premises (@p857)) % 15.96/16.25 (step @p870 :rule trans :premises (@p869 @p719 @p718 @p717 @p716 @p533 @p1614 @p868 @p864 @p165 @p567 @p859 @p629 @p628 @p627 @p1613)) % 15.96/16.25 (step-pop @p1650 :rule scope :premises (@p870)) % 15.96/16.25 (step-pop @p1651 :rule scope :premises (@p1650)) % 15.96/16.25 (step-pop @p1652 :rule scope :premises (@p1651)) % 15.96/16.25 (step-pop @p1653 :rule scope :premises (@p1652)) % 15.96/16.25 (step-pop @p1654 :rule scope :premises (@p1653)) % 15.96/16.25 (step-pop @p1655 :rule scope :premises (@p1654)) % 15.96/16.25 (step-pop @p1656 :rule scope :premises (@p1655)) % 15.96/16.25 (step-pop @p1657 :rule scope :premises (@p1656)) % 15.96/16.25 (step-pop @p1658 :rule scope :premises (@p1657)) % 15.96/16.25 (step-pop @p1659 :rule scope :premises (@p1658)) % 15.96/16.25 (step-pop @p1660 :rule scope :premises (@p1659)) % 15.96/16.25 (step-pop @p1661 :rule scope :premises (@p1660)) % 15.96/16.25 (step-pop @p1662 :rule scope :premises (@p1661)) % 15.96/16.25 (step-pop @p1663 :rule scope :premises (@p1662)) % 15.96/16.25 (step-pop @p1664 :rule scope :premises (@p1663)) % 15.96/16.25 (step @p871 :rule process_scope :premises (@p1664) :args (@t220)) % 15.96/16.25 (step @p887 :rule and_intro :premises (@p1613 @p54 @p567 @p569 @p1616 @p500 @p505 @p510 @p124 @p60 @p1615 @p59 @p61 @p55 @p1614)) % 15.96/16.25 (step @p888 :rule modus_ponens :premises (@p887 @p871)) % 15.96/16.25 (assume-push @p1665 @t161) % 15.96/16.25 (assume-push @p1666 @t64) % 15.96/16.25 (assume-push @p1667 @t207) % 15.96/16.25 (assume-push @p1668 @t185) % 15.96/16.25 (assume-push @p1669 @t175) % 15.96/16.25 (assume-push @p1670 @t104) % 15.96/16.25 (assume-push @p1671 @t201) % 15.96/16.25 (assume-push @p1672 @t186) % 15.96/16.25 (assume-push @p1673 @t194) % 15.96/16.25 (assume-push @p1674 @t192) % 15.96/16.25 (assume-push @p1675 @t197) % 15.96/16.25 (assume-push @p1676 @t171) % 15.96/16.25 (assume-push @p1677 @t169) % 15.96/16.25 (assume-push @p1678 @t203) % 15.96/16.25 (step @p903 :rule false_intro :premises (@p1618)) % 15.96/16.25 (step @p533 :rule symm :premises (@p510)) % 15.96/16.25 (step @p165 :rule symm :premises (@p124)) % 15.96/16.25 (step @p716 :rule cong :premises (@p165 @p366) :args (@t177)) % 15.96/16.25 (step @p717 :rule cong :premises (@p124 @p533) :args (@t176)) % 15.96/16.25 (step @p618 :rule symm :premises (@p505)) % 15.96/16.25 (step @p718 :rule cong :premises (@p618 @p510) :args (@t168)) % 15.96/16.25 (step @p719 :rule symm :premises (@p500)) % 15.96/16.25 (step @p904 :rule cong :premises (@p1616 @p1613) :args (@t10)) % 15.96/16.25 (step @p905 :rule trans :premises (@p904 @p719 @p718 @p717 @p716 @p533)) % 15.96/16.25 (step @p906 :rule symm :premises (@p905)) % 15.96/16.25 (step @p611 :rule symm :premises (@p570)) % 15.96/16.25 (step @p613 :rule symm :premises (@p567)) % 15.96/16.25 (step @p614 :rule cong :premises (@p613 @p612) :args (@t206)) % 15.96/16.25 (step @p615 :rule symm :premises (@p573)) % 15.96/16.25 (step @p907 :rule symm :premises (@p1617)) % 15.96/16.25 (step @p908 :rule cong :premises (@p907 @p612) :args (@t202)) % 15.96/16.25 (step @p619 :rule refl :args (tptp.sk_c1)) % 15.96/16.25 (step @p909 :rule cong :premises (@p1616 @p619) :args (@t198)) % 15.96/16.25 (step @p910 :rule trans :premises (@p909 @p618 @p572 @p908)) % 15.96/16.25 (step @p622 :rule refl :args (@t190)) % 15.96/16.25 (step @p911 :rule cong :premises (@p622 @p910) :args (@t199)) % 15.96/16.25 (step @p624 :rule cong :premises (@p567 @p619) :args (@t193)) % 15.96/16.25 (step @p912 :rule trans :premises (@p568 @p624 @p571 @p911 @p615 @p614 @p611)) % 15.96/16.25 (step @p913 :rule cong :premises (@p912 @p906) :args (@t14)) % 15.96/16.25 (step @p914 :rule cong :premises (@p905 @p913) :args (@t220)) % 15.96/16.25 (step @p915 :rule trans :premises (@p914 @p903)) % 15.96/16.25 (step @p916 :rule false_elim :premises (@p915)) % 15.96/16.25 (step-pop @p1679 :rule scope :premises (@p916)) % 15.96/16.25 (step-pop @p1680 :rule scope :premises (@p1679)) % 15.96/16.25 (step-pop @p1681 :rule scope :premises (@p1680)) % 15.96/16.25 (step-pop @p1682 :rule scope :premises (@p1681)) % 15.96/16.25 (step-pop @p1683 :rule scope :premises (@p1682)) % 15.96/16.25 (step-pop @p1684 :rule scope :premises (@p1683)) % 15.96/16.25 (step-pop @p1685 :rule scope :premises (@p1684)) % 15.96/16.25 (step-pop @p1686 :rule scope :premises (@p1685)) % 15.96/16.25 (step-pop @p1687 :rule scope :premises (@p1686)) % 15.96/16.25 (step-pop @p1688 :rule scope :premises (@p1687)) % 15.96/16.25 (step-pop @p1689 :rule scope :premises (@p1688)) % 15.96/16.25 (step-pop @p1690 :rule scope :premises (@p1689)) % 15.96/16.25 (step-pop @p1691 :rule scope :premises (@p1690)) % 15.96/16.25 (step-pop @p1692 :rule scope :premises (@p1691)) % 15.96/16.25 (step @p917 :rule process_scope :premises (@p1692) :args (@t222)) % 15.96/16.25 (step @p932 :rule and_intro :premises (@p1613 @p1616 @p573 @p1618 @p510 @p124 @p571 @p1617 @p568 @p567 @p570 @p505 @p500 @p572)) % 15.96/16.25 (step @p933 :rule modus_ponens :premises (@p932 @p917)) % 15.96/16.25 (step @p934 :rule and_intro :premises (@p933 @p888)) % 15.96/16.25 (step-pop @p1693 :rule scope :premises (@p934)) % 15.96/16.25 (step-pop @p1694 :rule scope :premises (@p1693)) % 15.96/16.25 (step-pop @p1695 :rule scope :premises (@p1694)) % 15.96/16.25 (step-pop @p1696 :rule scope :premises (@p1695)) % 15.96/16.25 (step-pop @p1697 :rule scope :premises (@p1696)) % 15.96/16.25 (step-pop @p1698 :rule scope :premises (@p1697)) % 15.96/16.25 (step-pop @p1699 :rule scope :premises (@p1698)) % 15.96/16.25 (step-pop @p1700 :rule scope :premises (@p1699)) % 15.96/16.25 (step-pop @p1701 :rule scope :premises (@p1700)) % 15.96/16.25 (step-pop @p1702 :rule scope :premises (@p1701)) % 15.96/16.25 (step-pop @p1703 :rule scope :premises (@p1702)) % 15.96/16.25 (step-pop @p1704 :rule scope :premises (@p1703)) % 15.96/16.25 (step-pop @p1705 :rule scope :premises (@p1704)) % 15.96/16.25 (step-pop @p1706 :rule scope :premises (@p1705)) % 15.96/16.25 (step-pop @p1707 :rule scope :premises (@p1706)) % 15.96/16.25 (step-pop @p1708 :rule scope :premises (@p1707)) % 15.96/16.25 (step-pop @p1709 :rule scope :premises (@p1708)) % 15.96/16.25 (step-pop @p1710 :rule scope :premises (@p1709)) % 15.96/16.25 (step-pop @p1711 :rule scope :premises (@p1710)) % 15.96/16.25 (step-pop @p1712 :rule scope :premises (@p1711)) % 15.96/16.25 (step-pop @p1713 :rule scope :premises (@p1712)) % 15.96/16.25 (step-pop @p1714 :rule scope :premises (@p1713)) % 15.96/16.25 (step @p935 :rule process_scope :premises (@p1714) :args (@t225)) % 15.96/16.25 (step @p958 :rule implies_elim :premises (@p935)) % 15.96/16.25 (step @p959 :rule resolution :premises (@p958 @p815) :args (true @t225)) % 15.96/16.25 (step @p960 :rule not_and :premises (@p959)) % 15.96/16.25 (step @p961 :rule eq_resolve :premises (@p960 @p806)) % 15.96/16.25 (step @p962 :rule reordering :premises (@p961) :args ((or @t184 @t162 @t70 @t69 @t160 @t187 @t113 @t100 @t182 @t216 @t215 @t99 @t181 @t180 @t214 @t98 @t97 @t213 @t212 @t211 @t96 @t210))) % 15.96/16.25 (step @p963 :rule chain_m_resolution :premises (@p962 @p573 @p61 @p572 @p571 @p570 @p60 @p59 @p569 @p500 @p505 @p55 @p568 @p567 @p510 @p54 @p124 @p791 @p785 @p776) :args ((or @t162 @t160 @t187) (@list false false false false false false false false false false false false false false false false false false true) (@list @t207 @t89 @t203 @t201 @t197 @t86 @t84 @t196 @t169 @t171 @t83 @t194 @t192 @t175 @t81 @t104 @t66 @t65 @t184))) % 15.96/16.25 (step @p964 :rule eq-symm :args (@t32 tptp.sk_c6)) % 15.96/16.25 (step @p965 :rule nary_cong :premises (@p964 @p22) :args (@t34)) % 15.96/16.25 (step @p966 :rule eq_resolve :premises (@p13 @p965)) % 15.96/16.25 (step @p967 :rule reordering :premises (@p966) :args ((or @t65 @t186))) % 15.96/16.25 (step @p968 :rule nary_cong :premises (@p964 @p27) :args (@t35)) % 15.96/16.25 (step @p969 :rule eq_resolve :premises (@p14 @p968)) % 15.96/16.25 (step @p970 :rule reordering :premises (@p969) :args ((or @t66 @t186))) % 15.96/16.25 (assume-push @p1715 @t161) % 15.96/16.25 (assume-push @p1716 @t65) % 15.96/16.25 (assume-push @p1717 @t66) % 15.96/16.25 (assume-push @p1718 @t64) % 15.96/16.25 (assume-push @p1719 @t104) % 15.96/16.25 (assume-push @p1720 @t81) % 15.96/16.25 (assume-push @p1721 @t175) % 15.96/16.25 (assume-push @p1722 @t192) % 15.96/16.25 (assume-push @p1723 @t83) % 15.96/16.25 (assume-push @p1724 @t171) % 15.96/16.25 (assume-push @p1725 @t169) % 15.96/16.25 (assume-push @p1726 @t196) % 15.96/16.25 (assume-push @p1727 @t84) % 15.96/16.25 (assume-push @p1728 @t86) % 15.96/16.25 (assume-push @p1729 @t89) % 15.96/16.25 (assume-push @p1730 @t161) % 15.96/16.25 (assume-push @p1731 @t81) % 15.96/16.25 (assume-push @p1732 @t192) % 15.96/16.25 (assume-push @p1733 @t196) % 15.96/16.25 (assume-push @p1734 @t64) % 15.96/16.25 (assume-push @p1735 @t169) % 15.96/16.25 (assume-push @p1736 @t171) % 15.96/16.25 (assume-push @p1737 @t175) % 15.96/16.25 (assume-push @p1738 @t104) % 15.96/16.25 (assume-push @p1739 @t86) % 15.96/16.25 (assume-push @p1740 @t66) % 15.96/16.25 (assume-push @p1741 @t84) % 15.96/16.25 (assume-push @p1742 @t89) % 15.96/16.25 (assume-push @p1743 @t83) % 15.96/16.25 (assume-push @p1744 @t65) % 15.96/16.25 (step @p627 :rule symm :premises (@p54)) % 15.96/16.25 (step @p79 :rule refl :args (tptp.sk_c7)) % 15.96/16.25 (step @p613 :rule symm :premises (@p567)) % 15.96/16.25 (step @p628 :rule cong :premises (@p613 @p79) :args (@t195)) % 15.96/16.25 (step @p629 :rule symm :premises (@p569)) % 15.96/16.25 (step @p855 :rule symm :premises (@p1715)) % 15.96/16.25 (step @p856 :rule symm :premises (@p1718)) % 15.96/16.25 (step @p857 :rule cong :premises (@p856 @p855) :args (@t166)) % 15.96/16.25 (step @p533 :rule symm :premises (@p510)) % 15.96/16.25 (step @p534 :rule cong :premises (@p505 @p533) :args (@t176)) % 15.96/16.25 (step @p165 :rule symm :premises (@p124)) % 15.96/16.25 (step @p535 :rule cong :premises (@p165 @p510) :args (@t177)) % 15.96/16.25 (step @p536 :rule cong :premises (@p124 @p366) :args (@t174)) % 15.96/16.25 (step @p858 :rule trans :premises (@p510 @p536 @p535 @p534 @p500 @p857)) % 15.96/16.25 (step @p622 :rule refl :args (@t190)) % 15.96/16.25 (step @p859 :rule cong :premises (@p622 @p858) :args (@t191)) % 15.96/16.25 (step @p283 :rule refl :args (tptp.identity)) % 15.96/16.25 (step @p83 :rule symm :premises (@p60)) % 15.96/16.25 (step @p284 :rule symm :premises (@p59)) % 15.96/16.25 (step @p860 :rule trans :premises (@p284 @p567 @p859 @p629 @p628 @p627 @p1717)) % 15.96/16.25 (step @p91 :rule refl :args (@t78)) % 15.96/16.25 (step @p861 :rule cong :premises (@p91 @p860) :args (@t87)) % 15.96/16.25 (step @p82 :rule refl :args (tptp.sk_c3)) % 15.96/16.25 (step @p862 :rule cong :premises (@p60 @p82) :args (@t82)) % 15.96/16.25 (step @p863 :rule trans :premises (@p55 @p862 @p61 @p861 @p83)) % 15.96/16.25 (step @p864 :rule cong :premises (@p863 @p283) :args (@t130)) % 15.96/16.25 (step @p865 :rule symm :premises (@p859)) % 15.96/16.25 (step @p866 :rule symm :premises (@p628)) % 15.96/16.25 (step @p867 :rule trans :premises (@p54 @p866 @p569 @p865 @p613)) % 15.96/16.25 (step @p868 :rule cong :premises (@p82 @p867) :args (@t12)) % 15.96/16.25 (step @p716 :rule cong :premises (@p165 @p366) :args (@t177)) % 15.96/16.25 (step @p717 :rule cong :premises (@p124 @p533) :args (@t176)) % 15.96/16.25 (step @p618 :rule symm :premises (@p505)) % 15.96/16.25 (step @p718 :rule cong :premises (@p618 @p510) :args (@t168)) % 15.96/16.25 (step @p719 :rule symm :premises (@p500)) % 15.96/16.25 (step @p869 :rule symm :premises (@p857)) % 15.96/16.25 (step @p870 :rule trans :premises (@p869 @p719 @p718 @p717 @p716 @p533 @p1716 @p868 @p864 @p165 @p567 @p859 @p629 @p628 @p627 @p1715)) % 15.96/16.25 (step-pop @p1745 :rule scope :premises (@p870)) % 15.96/16.25 (step-pop @p1746 :rule scope :premises (@p1745)) % 15.96/16.25 (step-pop @p1747 :rule scope :premises (@p1746)) % 15.96/16.25 (step-pop @p1748 :rule scope :premises (@p1747)) % 15.96/16.25 (step-pop @p1749 :rule scope :premises (@p1748)) % 15.96/16.25 (step-pop @p1750 :rule scope :premises (@p1749)) % 15.96/16.25 (step-pop @p1751 :rule scope :premises (@p1750)) % 15.96/16.25 (step-pop @p1752 :rule scope :premises (@p1751)) % 15.96/16.25 (step-pop @p1753 :rule scope :premises (@p1752)) % 15.96/16.25 (step-pop @p1754 :rule scope :premises (@p1753)) % 15.96/16.25 (step-pop @p1755 :rule scope :premises (@p1754)) % 15.96/16.25 (step-pop @p1756 :rule scope :premises (@p1755)) % 15.96/16.25 (step-pop @p1757 :rule scope :premises (@p1756)) % 15.96/16.25 (step-pop @p1758 :rule scope :premises (@p1757)) % 15.96/16.25 (step-pop @p1759 :rule scope :premises (@p1758)) % 15.96/16.25 (step @p1001 :rule process_scope :premises (@p1759) :args (@t220)) % 15.96/16.25 (step @p1017 :rule and_intro :premises (@p1715 @p54 @p567 @p569 @p1718 @p500 @p505 @p510 @p124 @p60 @p1717 @p59 @p61 @p55 @p1716)) % 15.96/16.25 (step @p1018 :rule modus_ponens :premises (@p1017 @p1001)) % 15.96/16.25 (step-pop @p1760 :rule scope :premises (@p1018)) % 15.96/16.25 (step-pop @p1761 :rule scope :premises (@p1760)) % 15.96/16.25 (step-pop @p1762 :rule scope :premises (@p1761)) % 15.96/16.25 (step-pop @p1763 :rule scope :premises (@p1762)) % 15.96/16.25 (step-pop @p1764 :rule scope :premises (@p1763)) % 15.96/16.25 (step-pop @p1765 :rule scope :premises (@p1764)) % 15.96/16.25 (step-pop @p1766 :rule scope :premises (@p1765)) % 15.96/16.25 (step-pop @p1767 :rule scope :premises (@p1766)) % 15.96/16.25 (step-pop @p1768 :rule scope :premises (@p1767)) % 15.96/16.25 (step-pop @p1769 :rule scope :premises (@p1768)) % 15.96/16.25 (step-pop @p1770 :rule scope :premises (@p1769)) % 15.96/16.25 (step-pop @p1771 :rule scope :premises (@p1770)) % 15.96/16.25 (step-pop @p1772 :rule scope :premises (@p1771)) % 15.96/16.25 (step-pop @p1773 :rule scope :premises (@p1772)) % 15.96/16.25 (step-pop @p1774 :rule scope :premises (@p1773)) % 15.96/16.25 (step @p1019 :rule process_scope :premises (@p1774) :args (@t220)) % 15.96/16.25 (step @p1035 :rule implies_elim :premises (@p1019)) % 15.96/16.25 (step @p1036 :rule cnf_and_neg :args (@t226)) % 15.96/16.25 (step @p1037 :rule resolution :premises (@p1036 @p1035) :args (true @t226)) % 15.96/16.25 (assume-push @p1775 @t161) % 15.96/16.25 (assume-push @p1776 @t65) % 15.96/16.25 (assume-push @p1777 @t66) % 15.96/16.25 (assume-push @p1778 @t64) % 15.96/16.25 (assume-push @p1779 @t104) % 15.96/16.25 (assume-push @p1780 @t81) % 15.96/16.25 (assume-push @p1781 @t175) % 15.96/16.25 (assume-push @p1782 @t192) % 15.96/16.25 (assume-push @p1783 @t83) % 15.96/16.25 (assume-push @p1784 @t171) % 15.96/16.25 (assume-push @p1785 @t169) % 15.96/16.25 (assume-push @p1786 @t196) % 15.96/16.25 (assume-push @p1787 @t84) % 15.96/16.25 (assume-push @p1788 @t86) % 15.96/16.25 (assume-push @p1789 @t89) % 15.96/16.25 (assume-push @p1790 @t66) % 15.96/16.25 (assume-push @p1791 @t81) % 15.96/16.25 (assume-push @p1792 @t192) % 15.96/16.25 (assume-push @p1793 @t196) % 15.96/16.25 (assume-push @p1794 @t64) % 15.96/16.25 (assume-push @p1795 @t161) % 15.96/16.25 (assume-push @p1796 @t169) % 15.96/16.25 (assume-push @p1797 @t171) % 15.96/16.25 (assume-push @p1798 @t175) % 15.96/16.25 (assume-push @p1799 @t104) % 15.96/16.25 (assume-push @p1800 @t86) % 15.96/16.25 (assume-push @p1801 @t84) % 15.96/16.25 (assume-push @p1802 @t89) % 15.96/16.25 (assume-push @p1803 @t83) % 15.96/16.25 (assume-push @p1804 @t65) % 15.96/16.25 (step @p627 :rule symm :premises (@p54)) % 15.96/16.25 (step @p79 :rule refl :args (tptp.sk_c7)) % 15.96/16.25 (step @p613 :rule symm :premises (@p567)) % 15.96/16.25 (step @p628 :rule cong :premises (@p613 @p79) :args (@t195)) % 15.96/16.25 (step @p629 :rule symm :premises (@p569)) % 15.96/16.25 (step @p1068 :rule symm :premises (@p1775)) % 15.96/16.25 (step @p1069 :rule symm :premises (@p1778)) % 15.96/16.25 (step @p1070 :rule cong :premises (@p1069 @p1068) :args (@t166)) % 15.96/16.25 (step @p533 :rule symm :premises (@p510)) % 15.96/16.25 (step @p534 :rule cong :premises (@p505 @p533) :args (@t176)) % 15.96/16.25 (step @p165 :rule symm :premises (@p124)) % 15.96/16.25 (step @p535 :rule cong :premises (@p165 @p510) :args (@t177)) % 15.96/16.25 (step @p536 :rule cong :premises (@p124 @p366) :args (@t174)) % 15.96/16.25 (step @p1071 :rule trans :premises (@p510 @p536 @p535 @p534 @p500 @p1070)) % 15.96/16.25 (step @p622 :rule refl :args (@t190)) % 15.96/16.25 (step @p1072 :rule cong :premises (@p622 @p1071) :args (@t191)) % 15.96/16.25 (step @p283 :rule refl :args (tptp.identity)) % 15.96/16.25 (step @p83 :rule symm :premises (@p60)) % 15.96/16.25 (step @p284 :rule symm :premises (@p59)) % 15.96/16.25 (step @p1073 :rule trans :premises (@p284 @p567 @p1072 @p629 @p628 @p627 @p1777)) % 15.96/16.25 (step @p91 :rule refl :args (@t78)) % 15.96/16.25 (step @p1074 :rule cong :premises (@p91 @p1073) :args (@t87)) % 15.96/16.25 (step @p82 :rule refl :args (tptp.sk_c3)) % 15.96/16.25 (step @p862 :rule cong :premises (@p60 @p82) :args (@t82)) % 15.96/16.25 (step @p1075 :rule trans :premises (@p55 @p862 @p61 @p1074 @p83)) % 15.96/16.25 (step @p1076 :rule cong :premises (@p1075 @p283) :args (@t130)) % 15.96/16.25 (step @p1077 :rule symm :premises (@p1072)) % 15.96/16.25 (step @p866 :rule symm :premises (@p628)) % 15.96/16.25 (step @p1078 :rule trans :premises (@p54 @p866 @p569 @p1077 @p613)) % 15.96/16.25 (step @p1079 :rule cong :premises (@p82 @p1078) :args (@t12)) % 15.96/16.25 (step @p1080 :rule trans :premises (@p1776 @p1079 @p1076 @p165 @p567 @p1072 @p629 @p628 @p627 @p1777)) % 15.96/16.25 (step-pop @p1805 :rule scope :premises (@p1080)) % 15.96/16.25 (step-pop @p1806 :rule scope :premises (@p1805)) % 15.96/16.25 (step-pop @p1807 :rule scope :premises (@p1806)) % 15.96/16.25 (step-pop @p1808 :rule scope :premises (@p1807)) % 15.96/16.25 (step-pop @p1809 :rule scope :premises (@p1808)) % 15.96/16.25 (step-pop @p1810 :rule scope :premises (@p1809)) % 15.96/16.25 (step-pop @p1811 :rule scope :premises (@p1810)) % 15.96/16.25 (step-pop @p1812 :rule scope :premises (@p1811)) % 15.96/16.25 (step-pop @p1813 :rule scope :premises (@p1812)) % 15.96/16.25 (step-pop @p1814 :rule scope :premises (@p1813)) % 15.96/16.25 (step-pop @p1815 :rule scope :premises (@p1814)) % 15.96/16.25 (step-pop @p1816 :rule scope :premises (@p1815)) % 15.96/16.25 (step-pop @p1817 :rule scope :premises (@p1816)) % 15.96/16.25 (step-pop @p1818 :rule scope :premises (@p1817)) % 15.96/16.25 (step-pop @p1819 :rule scope :premises (@p1818)) % 15.96/16.25 (step @p1081 :rule process_scope :premises (@p1819) :args (@t109)) % 15.96/16.25 (step @p1097 :rule and_intro :premises (@p1777 @p54 @p567 @p569 @p1778 @p1775 @p500 @p505 @p510 @p124 @p60 @p59 @p61 @p55 @p1776)) % 15.96/16.25 (step @p1098 :rule modus_ponens :premises (@p1097 @p1081)) % 15.96/16.25 (step-pop @p1820 :rule scope :premises (@p1098)) % 15.96/16.25 (step-pop @p1821 :rule scope :premises (@p1820)) % 15.96/16.25 (step-pop @p1822 :rule scope :premises (@p1821)) % 15.96/16.25 (step-pop @p1823 :rule scope :premises (@p1822)) % 15.96/16.25 (step-pop @p1824 :rule scope :premises (@p1823)) % 15.96/16.25 (step-pop @p1825 :rule scope :premises (@p1824)) % 15.96/16.25 (step-pop @p1826 :rule scope :premises (@p1825)) % 15.96/16.25 (step-pop @p1827 :rule scope :premises (@p1826)) % 15.96/16.25 (step-pop @p1828 :rule scope :premises (@p1827)) % 15.96/16.25 (step-pop @p1829 :rule scope :premises (@p1828)) % 15.96/16.25 (step-pop @p1830 :rule scope :premises (@p1829)) % 15.96/16.25 (step-pop @p1831 :rule scope :premises (@p1830)) % 15.96/16.25 (step-pop @p1832 :rule scope :premises (@p1831)) % 15.96/16.25 (step-pop @p1833 :rule scope :premises (@p1832)) % 15.96/16.25 (step-pop @p1834 :rule scope :premises (@p1833)) % 15.96/16.25 (step @p1099 :rule process_scope :premises (@p1834) :args (@t109)) % 15.96/16.25 (step @p1115 :rule implies_elim :premises (@p1099)) % 15.96/16.25 (step @p1116 :rule resolution :premises (@p1036 @p1115) :args (true @t226)) % 15.96/16.25 (assume-push @p1835 @t161) % 15.96/16.25 (assume-push @p1836 @t65) % 15.96/16.25 (assume-push @p1837 @t66) % 15.96/16.25 (assume-push @p1838 @t64) % 15.96/16.25 (assume-push @p1839 @t104) % 15.96/16.25 (assume-push @p1840 @t81) % 15.96/16.25 (assume-push @p1841 @t175) % 15.96/16.25 (assume-push @p1842 @t192) % 15.96/16.25 (assume-push @p1843 @t83) % 15.96/16.25 (assume-push @p1844 @t171) % 15.96/16.25 (assume-push @p1845 @t169) % 15.96/16.25 (assume-push @p1846 @t196) % 15.96/16.25 (assume-push @p1847 @t84) % 15.96/16.25 (assume-push @p1848 @t86) % 15.96/16.25 (assume-push @p1849 @t89) % 15.96/16.25 (assume-push @p1850 @t83) % 15.96/16.25 (assume-push @p1851 @t86) % 15.96/16.25 (assume-push @p1852 @t89) % 15.96/16.25 (assume-push @p1853 @t84) % 15.96/16.25 (assume-push @p1854 @t192) % 15.96/16.25 (assume-push @p1855 @t175) % 15.96/16.25 (assume-push @p1856 @t104) % 15.96/16.25 (assume-push @p1857 @t171) % 15.96/16.25 (assume-push @p1858 @t169) % 15.96/16.25 (assume-push @p1859 @t64) % 15.96/16.25 (assume-push @p1860 @t161) % 15.96/16.25 (assume-push @p1861 @t196) % 15.96/16.25 (assume-push @p1862 @t81) % 15.96/16.25 (assume-push @p1863 @t66) % 15.96/16.25 (assume-push @p1864 @t65) % 15.96/16.25 (step @p1147 :rule symm :premises (@p1835)) % 15.96/16.25 (step @p1148 :rule symm :premises (@p1838)) % 15.96/16.25 (step @p1149 :rule cong :premises (@p1148 @p1147) :args (@t166)) % 15.96/16.25 (step @p533 :rule symm :premises (@p510)) % 15.96/16.25 (step @p534 :rule cong :premises (@p505 @p533) :args (@t176)) % 15.96/16.25 (step @p165 :rule symm :premises (@p124)) % 15.96/16.25 (step @p535 :rule cong :premises (@p165 @p510) :args (@t177)) % 15.96/16.25 (step @p536 :rule cong :premises (@p124 @p366) :args (@t174)) % 15.96/16.25 (step @p1150 :rule symm :premises (@p1836)) % 15.96/16.25 (step @p627 :rule symm :premises (@p54)) % 15.96/16.25 (step @p79 :rule refl :args (tptp.sk_c7)) % 15.96/16.25 (step @p613 :rule symm :premises (@p567)) % 15.96/16.25 (step @p628 :rule cong :premises (@p613 @p79) :args (@t195)) % 15.96/16.25 (step @p629 :rule symm :premises (@p569)) % 15.96/16.25 (step @p1151 :rule trans :premises (@p510 @p536 @p535 @p534 @p500 @p1149)) % 15.96/16.25 (step @p622 :rule refl :args (@t190)) % 15.96/16.25 (step @p1152 :rule cong :premises (@p622 @p1151) :args (@t191)) % 15.96/16.25 (step @p1153 :rule trans :premises (@p567 @p1152 @p629 @p628 @p627)) % 15.96/16.25 (step @p82 :rule refl :args (tptp.sk_c3)) % 15.96/16.25 (step @p1154 :rule cong :premises (@p82 @p1153) :args (@t130)) % 15.96/16.25 (step @p283 :rule refl :args (tptp.identity)) % 15.96/16.25 (step @p81 :rule symm :premises (@p55)) % 15.96/16.25 (step @p83 :rule symm :premises (@p60)) % 15.96/16.25 (step @p84 :rule cong :premises (@p83 @p82) :args (@t88)) % 15.96/16.25 (step @p85 :rule symm :premises (@p61)) % 15.96/16.25 (step @p1155 :rule symm :premises (@p1152)) % 15.96/16.25 (step @p866 :rule symm :premises (@p628)) % 15.96/16.25 (step @p1156 :rule symm :premises (@p1837)) % 15.96/16.25 (step @p1157 :rule trans :premises (@p1156 @p54 @p866 @p569 @p1155 @p613 @p59)) % 15.96/16.25 (step @p91 :rule refl :args (@t78)) % 15.96/16.25 (step @p1158 :rule cong :premises (@p91 @p1157) :args (@t85)) % 15.96/16.25 (step @p1159 :rule trans :premises (@p60 @p1158 @p85 @p84 @p81)) % 15.96/16.25 (step @p1160 :rule cong :premises (@p1159 @p283) :args (@t103)) % 15.96/16.25 (step @p1161 :rule trans :premises (@p124 @p1160 @p1154 @p1150 @p510 @p536 @p535 @p534 @p500 @p1149)) % 15.96/16.25 (step @p1162 :rule cong :premises (@p1159 @p1161) :args (@t103)) % 15.96/16.25 (step @p1163 :rule symm :premises (@p1160)) % 15.96/16.25 (step @p1164 :rule symm :premises (@p1154)) % 15.96/16.25 (step @p1165 :rule trans :premises (@p1836 @p1164 @p1163 @p1162)) % 15.96/16.25 (step-pop @p1865 :rule scope :premises (@p1165)) % 15.96/16.25 (step-pop @p1866 :rule scope :premises (@p1865)) % 15.96/16.25 (step-pop @p1867 :rule scope :premises (@p1866)) % 15.96/16.25 (step-pop @p1868 :rule scope :premises (@p1867)) % 15.96/16.25 (step-pop @p1869 :rule scope :premises (@p1868)) % 15.96/16.25 (step-pop @p1870 :rule scope :premises (@p1869)) % 15.96/16.25 (step-pop @p1871 :rule scope :premises (@p1870)) % 15.96/16.25 (step-pop @p1872 :rule scope :premises (@p1871)) % 15.96/16.25 (step-pop @p1873 :rule scope :premises (@p1872)) % 15.96/16.25 (step-pop @p1874 :rule scope :premises (@p1873)) % 15.96/16.25 (step-pop @p1875 :rule scope :premises (@p1874)) % 15.96/16.25 (step-pop @p1876 :rule scope :premises (@p1875)) % 15.96/16.25 (step-pop @p1877 :rule scope :premises (@p1876)) % 15.96/16.25 (step-pop @p1878 :rule scope :premises (@p1877)) % 15.96/16.25 (step-pop @p1879 :rule scope :premises (@p1878)) % 15.96/16.25 (step @p1166 :rule process_scope :premises (@p1879) :args (@t93)) % 15.96/16.25 (step @p1182 :rule and_intro :premises (@p55 @p60 @p61 @p59 @p567 @p510 @p124 @p505 @p500 @p1838 @p1835 @p569 @p54 @p1837 @p1836)) % 15.96/16.25 (step @p1183 :rule modus_ponens :premises (@p1182 @p1166)) % 15.96/16.25 (step-pop @p1880 :rule scope :premises (@p1183)) % 15.96/16.25 (step-pop @p1881 :rule scope :premises (@p1880)) % 15.96/16.25 (step-pop @p1882 :rule scope :premises (@p1881)) % 15.96/16.25 (step-pop @p1883 :rule scope :premises (@p1882)) % 15.96/16.25 (step-pop @p1884 :rule scope :premises (@p1883)) % 15.96/16.25 (step-pop @p1885 :rule scope :premises (@p1884)) % 15.96/16.25 (step-pop @p1886 :rule scope :premises (@p1885)) % 15.96/16.25 (step-pop @p1887 :rule scope :premises (@p1886)) % 15.96/16.25 (step-pop @p1888 :rule scope :premises (@p1887)) % 15.96/16.25 (step-pop @p1889 :rule scope :premises (@p1888)) % 15.96/16.25 (step-pop @p1890 :rule scope :premises (@p1889)) % 15.96/16.25 (step-pop @p1891 :rule scope :premises (@p1890)) % 15.96/16.25 (step-pop @p1892 :rule scope :premises (@p1891)) % 15.96/16.25 (step-pop @p1893 :rule scope :premises (@p1892)) % 15.96/16.25 (step-pop @p1894 :rule scope :premises (@p1893)) % 15.96/16.25 (step @p1184 :rule process_scope :premises (@p1894) :args (@t93)) % 15.96/16.25 (step @p1200 :rule implies_elim :premises (@p1184)) % 15.96/16.25 (step @p1201 :rule resolution :premises (@p1036 @p1200) :args (true @t226)) % 15.96/16.25 (step @p1202 :rule chain_m_resolution :premises (@p221 @p216 @p1201 @p61 @p60 @p59 @p569 @p500 @p505 @p55 @p567 @p510 @p54 @p124 @p1116 @p61 @p60 @p59 @p569 @p500 @p505 @p55 @p567 @p510 @p54 @p124 @p404 @p775 @p770 @p50 @p1037 @p61 @p60 @p59 @p569 @p500 @p505 @p55 @p567 @p510 @p54 @p124 @p45 @p970 @p967 @p963 @p498 @p493) :args (@t163 (@list true false false false false false false false false false false false false false false false false false false false false false false false false false true true true false false false false false false false false false false false false true false false true true true) (@list @t118 @t93 @t89 @t86 @t84 @t196 @t169 @t171 @t83 @t192 @t175 @t81 @t104 @t109 @t89 @t86 @t84 @t196 @t169 @t171 @t83 @t192 @t175 @t81 @t104 @t122 @t140 @t223 @t76 @t220 @t89 @t86 @t84 @t196 @t169 @t171 @t83 @t192 @t175 @t81 @t104 @t71 @t66 @t65 @t186 @t137 @t163))) % 15.96/16.25 (step @p1203 :rule chain_m_resolution :premises (@p1202 @p491) :args (@t162 (@list false) (@list @t64))) % 15.96/16.25 (step @p1204 :rule eq-symm :args (@t14 tptp.sk_c7)) % 15.96/16.25 (step @p1205 :rule nary_cong :premises (@p1204 @p27) :args (@t19)) % 15.96/16.25 (step @p1206 :rule eq_resolve :premises (@p6 @p1205)) % 15.96/16.25 (step @p1207 :rule chain_m_resolution :premises (@p1206 @p1203) :args (@t66 @t227 @t228)) % 15.96/16.25 (step @p1208 :rule nary_cong :premises (@p1204 @p22) :args (@t16)) % 15.96/16.25 (step @p1209 :rule eq_resolve :premises (@p5 @p1208)) % 15.96/16.25 (step @p1210 :rule chain_m_resolution :premises (@p1209 @p1203) :args (@t65 @t227 @t228)) % 15.96/16.25 (step @p1211 :rule chain_m_resolution :premises (@p45 @p1210 @p1207) :args (@t72 @t229 (@list @t65 @t66))) % 15.96/16.25 (step @p1212 :rule chain_m_resolution :premises (@p50 @p1211) :args ((not @t76) @t227 (@list @t71))) % 15.96/16.25 (step @p1213 :rule chain_m_resolution :premises (@p123 @p1210 @p1207 @p54 @p55 @p59 @p60 @p61 @p62) :args (@t93 (@list false false false false false false false false) (@list @t65 @t66 @t81 @t83 @t84 @t86 @t89 @t91))) % 15.96/16.25 (step @p1214 :rule nary_cong :premises (@p1204 @p40) :args (@t25)) % 15.96/16.25 (step @p1215 :rule eq_resolve :premises (@p8 @p1214)) % 15.96/16.25 (step @p1216 :rule chain_m_resolution :premises (@p1215 @p1203) :args (@t68 @t227 @t228)) % 15.96/16.25 (step @p1217 :rule refl :args (@t161)) % 15.96/16.25 (step @p1218 :rule nary_cong :premises (@p1217 @p33) :args ((or @t161 @t67))) % 15.96/16.25 (step @p1219 :rule nary_cong :premises (@p1204 @p36) :args (@t22)) % 15.96/16.25 (step @p1220 :rule trans :premises (@p1219 @p1218)) % 15.96/16.25 (step @p1221 :rule eq_resolve :premises (@p7 @p1220)) % 15.96/16.25 (step @p1222 :rule chain_m_resolution :premises (@p1221 @p1203) :args (@t102 @t227 @t228)) % 15.96/16.25 (step @p1223 :rule chain_m_resolution :premises (@p214 @p1210 @p1207 @p1222 @p1216 @p124 @p54 @p55 @p125 @p59 @p60 @p126 @p61 @p62) :args (@t109 (@list false false false false false false false false false false false false false) (@list @t65 @t66 @t102 @t68 @t104 @t81 @t83 @t106 @t84 @t86 @t107 @t89 @t91))) % 15.96/16.25 (step @p1224 :rule chain_m_resolution :premises (@p216 @p1223 @p1213) :args (@t119 @t229 (@list @t109 @t93))) % 15.96/16.25 (step @p1225 :rule chain_m_resolution :premises (@p221 @p1224) :args ((not @t122) @t227 (@list @t118))) % 15.96/16.25 (step @p1226 :rule chain_m_resolution :premises (@p339 @p1210 @p1207 @p1222 @p1216 @p124 @p54 @p55 @p125 @p59 @p60 @p126 @p61 @p62 @p222) :args (@t124 @t230 @t231)) % 15.96/16.25 (step @p1227 :rule chain_m_resolution :premises (@p341 @p1223 @p1226) :args (@t133 @t229 (@list @t109 @t124))) % 15.96/16.25 (step @p1228 :rule chain_m_resolution :premises (@p346 @p1227) :args ((not @t137) @t227 (@list @t132))) % 15.96/16.25 (step @p1229 :rule chain_m_resolution :premises (@p483 @p1210 @p1207 @p1222 @p1216 @p124 @p54 @p55 @p125 @p59 @p60 @p126 @p61 @p62 @p222) :args (@t155 @t230 @t231)) % 15.96/16.25 (step @p1230 :rule chain_m_resolution :premises (@p485 @p1223 @p1229) :args (@t159 @t229 (@list @t109 @t155))) % 15.96/16.25 (step @p1231 :rule chain_m_resolution :premises (@p490 @p1230) :args ((not @t140) @t227 (@list @t158))) % 15.96/16.25 (step @p1232 false :rule chain_m_resolution :premises (@p404 @p1231 @p1228 @p1225 @p1212) :args (false (@list true true true true) (@list @t140 @t137 @t122 @t76))) % 15.96/16.25 ) % 15.96/16.25 % SZS output end Proof % 15.96/16.25 % cvc5 exiting %------------------------------------------------------------------------------