%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP215-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:20:13 AM UTC 2026 % Result : Unsatisfiable 16.17s 16.42s % Output : Proof 16.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP215-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.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 00:59:52 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/16.32 --- Run --no-e-matching --full-saturate-quant at 6... % 16.17/16.42 % SZS status Unsatisfiable % 16.17/16.42 % SZS output start Proof % 16.17/16.44 ( % 16.17/16.44 (declare-sort $$unsorted 0) % 16.17/16.44 (declare-const tptp.sk_c2 $$unsorted) % 16.17/16.44 (declare-const tptp.sk_c1 $$unsorted) % 16.17/16.44 (declare-const tptp.sk_c6 $$unsorted) % 16.17/16.44 (declare-const tptp.sk_c4 $$unsorted) % 16.17/16.44 (declare-const tptp.sk_c3 $$unsorted) % 16.17/16.44 (declare-const tptp.sk_c7 $$unsorted) % 16.17/16.44 (declare-const tptp.sk_c5 $$unsorted) % 16.17/16.44 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.17/16.44 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.17/16.44 (declare-const tptp.identity $$unsorted) % 16.17/16.44 (define @t1 () (@var "X" $$unsorted)) % 16.17/16.44 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.17/16.44 (define @t3 () (@list @t1)) % 16.17/16.44 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.17/16.44 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 16.17/16.44 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 16.17/16.44 (define @t7 () (@var "Z" $$unsorted)) % 16.17/16.44 (define @t8 () (@var "Y" $$unsorted)) % 16.17/16.44 (define @t9 () (tptp.inverse tptp.sk_c3)) % 16.17/16.44 (define @t10 () (= @t9 tptp.sk_c7)) % 16.17/16.44 (define @t11 () (tptp.multiply tptp.sk_c1 tptp.sk_c7)) % 16.17/16.44 (define @t12 () (= @t11 tptp.sk_c6)) % 16.17/16.44 (define @t13 () (or @t12 @t10)) % 16.17/16.44 (define @t14 () (tptp.multiply tptp.sk_c3 tptp.sk_c6)) % 16.17/16.44 (define @t15 () (= @t14 tptp.sk_c7)) % 16.17/16.44 (define @t16 () (or @t12 @t15)) % 16.17/16.44 (define @t17 () (tptp.multiply tptp.sk_c7 tptp.sk_c5)) % 16.17/16.44 (define @t18 () (= @t17 tptp.sk_c6)) % 16.17/16.44 (define @t19 () (or @t12 @t18)) % 16.17/16.44 (define @t20 () (tptp.multiply tptp.sk_c4 tptp.sk_c7)) % 16.17/16.44 (define @t21 () (= @t20 tptp.sk_c5)) % 16.17/16.44 (define @t22 () (or @t12 @t21)) % 16.17/16.44 (define @t23 () (tptp.inverse tptp.sk_c4)) % 16.17/16.44 (define @t24 () (= @t23 tptp.sk_c7)) % 16.17/16.44 (define @t25 () (or @t12 @t24)) % 16.17/16.44 (define @t26 () (tptp.inverse tptp.sk_c1)) % 16.17/16.44 (define @t27 () (= @t26 tptp.sk_c7)) % 16.17/16.44 (define @t28 () (or @t27 @t10)) % 16.17/16.44 (define @t29 () (or @t27 @t15)) % 16.17/16.44 (define @t30 () (or @t27 @t18)) % 16.17/16.44 (define @t31 () (or @t27 @t21)) % 16.17/16.44 (define @t32 () (or @t27 @t24)) % 16.17/16.44 (define @t33 () (tptp.multiply tptp.sk_c2 tptp.sk_c6)) % 16.17/16.44 (define @t34 () (= @t33 tptp.sk_c7)) % 16.17/16.44 (define @t35 () (or @t34 @t10)) % 16.17/16.44 (define @t36 () (or @t34 @t15)) % 16.17/16.44 (define @t37 () (or @t34 @t18)) % 16.17/16.44 (define @t38 () (or @t34 @t21)) % 16.17/16.44 (define @t39 () (or @t34 @t24)) % 16.17/16.44 (define @t40 () (tptp.inverse tptp.sk_c2)) % 16.17/16.44 (define @t41 () (= @t40 tptp.sk_c6)) % 16.17/16.44 (define @t42 () (or @t41 @t10)) % 16.17/16.44 (define @t43 () (or @t41 @t15)) % 16.17/16.44 (define @t44 () (or @t41 @t18)) % 16.17/16.44 (define @t45 () (or @t41 @t21)) % 16.17/16.44 (define @t46 () (or @t41 @t24)) % 16.17/16.44 (define @t47 () (@var "X5" $$unsorted)) % 16.17/16.44 (define @t48 () (tptp.inverse @t47)) % 16.17/16.44 (define @t49 () (not (= @t48 tptp.sk_c7))) % 16.17/16.44 (define @t50 () (@var "X2" $$unsorted)) % 16.17/16.44 (define @t51 () (tptp.multiply @t47 tptp.sk_c7)) % 16.17/16.44 (define @t52 () (not (= @t51 @t50))) % 16.17/16.44 (define @t53 () (tptp.multiply tptp.sk_c7 @t50)) % 16.17/16.44 (define @t54 () (not (= @t53 tptp.sk_c6))) % 16.17/16.44 (define @t55 () (@var "X1" $$unsorted)) % 16.17/16.44 (define @t56 () (tptp.multiply @t55 tptp.sk_c6)) % 16.17/16.44 (define @t57 () (not (= @t56 tptp.sk_c7))) % 16.17/16.44 (define @t58 () (tptp.inverse @t55)) % 16.17/16.44 (define @t59 () (not (= @t58 tptp.sk_c7))) % 16.17/16.44 (define @t60 () (@var "X4" $$unsorted)) % 16.17/16.44 (define @t61 () (tptp.inverse @t60)) % 16.17/16.44 (define @t62 () (not (= @t61 tptp.sk_c6))) % 16.17/16.44 (define @t63 () (tptp.multiply @t60 tptp.sk_c6)) % 16.17/16.44 (define @t64 () (not (= @t63 tptp.sk_c7))) % 16.17/16.44 (define @t65 () (@var "X3" $$unsorted)) % 16.17/16.44 (define @t66 () (tptp.inverse @t65)) % 16.17/16.44 (define @t67 () (not (= @t66 tptp.sk_c7))) % 16.17/16.44 (define @t68 () (tptp.multiply @t65 tptp.sk_c7)) % 16.17/16.44 (define @t69 () (not (= @t68 tptp.sk_c6))) % 16.17/16.44 (define @t70 () (or @t69 @t67 @t64 @t62 @t59 @t57 @t54 @t52 @t49)) % 16.17/16.44 (define @t71 () (@list @t65 @t60 @t55 @t50 @t47)) % 16.17/16.44 (define @t72 () (forall @t71 @t70)) % 16.17/16.44 (define @t73 () (= tptp.sk_c7 @t26)) % 16.17/16.44 (define @t74 () (= tptp.sk_c7 @t9)) % 16.17/16.44 (define @t75 () (= tptp.sk_c7 @t14)) % 16.17/16.44 (define @t76 () (= tptp.sk_c6 @t17)) % 16.17/16.44 (define @t77 () (= tptp.sk_c5 @t20)) % 16.17/16.44 (define @t78 () (= tptp.sk_c7 @t23)) % 16.17/16.44 (define @t79 () (not @t75)) % 16.17/16.44 (define @t80 () (not @t74)) % 16.17/16.44 (define @t81 () (or @t80 @t79)) % 16.17/16.44 (define @t82 () (not @t81)) % 16.17/16.44 (define @t83 () (not (= tptp.sk_c7 @t56))) % 16.17/16.44 (define @t84 () (not (= tptp.sk_c7 @t58))) % 16.17/16.44 (define @t85 () (or @t84 @t83)) % 16.17/16.44 (define @t86 () (forall (@list @t55) @t85)) % 16.17/16.44 (define @t87 () (@list tptp.sk_c3)) % 16.17/16.44 (define @t88 () (@list tptp.sk_c7)) % 16.17/16.44 (define @t89 () (tptp.multiply tptp.identity tptp.identity)) % 16.17/16.44 (define @t90 () (= tptp.identity @t89)) % 16.17/16.44 (define @t91 () (tptp.multiply tptp.identity tptp.sk_c7)) % 16.17/16.44 (define @t92 () (= tptp.sk_c7 @t91)) % 16.17/16.44 (define @t93 () (tptp.multiply @t23 tptp.sk_c4)) % 16.17/16.44 (define @t94 () (= tptp.identity @t93)) % 16.17/16.44 (define @t95 () (tptp.multiply @t23 @t20)) % 16.17/16.44 (define @t96 () (tptp.multiply @t93 tptp.sk_c7)) % 16.17/16.44 (define @t97 () (= @t96 @t95)) % 16.17/16.44 (define @t98 () (tptp.multiply @t89 tptp.sk_c7)) % 16.17/16.44 (define @t99 () (tptp.multiply tptp.identity @t91)) % 16.17/16.44 (define @t100 () (= tptp.sk_c6 @t9)) % 16.17/16.44 (define @t101 () (and @t74 @t76 @t77 @t78 @t90 @t92 @t94 @t97)) % 16.17/16.44 (define @t102 () (not @t97)) % 16.17/16.44 (define @t103 () (not @t94)) % 16.17/16.44 (define @t104 () (not @t92)) % 16.17/16.44 (define @t105 () (not @t90)) % 16.17/16.44 (define @t106 () (not @t78)) % 16.17/16.44 (define @t107 () (not @t77)) % 16.17/16.44 (define @t108 () (not @t76)) % 16.17/16.44 (define @t109 () (not @t100)) % 16.17/16.44 (define @t110 () (or @t79 @t109)) % 16.17/16.44 (define @t111 () (not @t110)) % 16.17/16.44 (define @t112 () (not (= tptp.sk_c6 @t61))) % 16.17/16.44 (define @t113 () (not (= tptp.sk_c7 @t63))) % 16.17/16.44 (define @t114 () (or @t113 @t112)) % 16.17/16.44 (define @t115 () (forall (@list @t60) @t114)) % 16.17/16.44 (define @t116 () (tptp.inverse tptp.sk_c7)) % 16.17/16.44 (define @t117 () (tptp.multiply tptp.sk_c3 tptp.sk_c7)) % 16.17/16.44 (define @t118 () (= tptp.sk_c6 @t117)) % 16.17/16.44 (define @t119 () (tptp.multiply tptp.sk_c7 tptp.sk_c3)) % 16.17/16.44 (define @t120 () (tptp.multiply @t116 tptp.sk_c7)) % 16.17/16.44 (define @t121 () (tptp.multiply @t120 tptp.sk_c3)) % 16.17/16.44 (define @t122 () (= @t121 (tptp.multiply @t116 @t119))) % 16.17/16.44 (define @t123 () (not @t122)) % 16.17/16.44 (define @t124 () (tptp.multiply @t116 tptp.identity)) % 16.17/16.44 (define @t125 () (tptp.multiply @t124 tptp.sk_c7)) % 16.17/16.44 (define @t126 () (= @t125 (tptp.multiply @t116 @t91))) % 16.17/16.44 (define @t127 () (not @t126)) % 16.17/16.44 (define @t128 () (tptp.multiply @t9 tptp.sk_c3)) % 16.17/16.44 (define @t129 () (= tptp.identity @t128)) % 16.17/16.44 (define @t130 () (not @t129)) % 16.17/16.44 (define @t131 () (tptp.multiply tptp.identity tptp.sk_c3)) % 16.17/16.44 (define @t132 () (= tptp.sk_c3 @t131)) % 16.17/16.44 (define @t133 () (not @t132)) % 16.17/16.44 (define @t134 () (= tptp.identity @t120)) % 16.17/16.44 (define @t135 () (not @t134)) % 16.17/16.44 (define @t136 () (not @t118)) % 16.17/16.44 (define @t137 () (tptp.multiply @t89 tptp.sk_c3)) % 16.17/16.44 (define @t138 () (tptp.multiply tptp.identity @t131)) % 16.17/16.44 (define @t139 () (tptp.multiply @t116 @t17)) % 16.17/16.44 (define @t140 () (and @t118 @t136)) % 16.17/16.44 (define @t141 () (or @t136 @t80)) % 16.17/16.44 (define @t142 () (not @t141)) % 16.17/16.44 (define @t143 () (not (= tptp.sk_c7 @t66))) % 16.17/16.44 (define @t144 () (not (= tptp.sk_c6 @t68))) % 16.17/16.44 (define @t145 () (or @t144 @t143)) % 16.17/16.44 (define @t146 () (forall (@list @t65) @t145)) % 16.17/16.44 (define @t147 () (not (= tptp.sk_c7 @t48))) % 16.17/16.44 (define @t148 () (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 @t51)))) % 16.17/16.44 (define @t149 () (or @t148 @t147)) % 16.17/16.44 (define @t150 () (not (= @t51 @t51))) % 16.17/16.44 (define @t151 () (or @t148 @t150 @t147)) % 16.17/16.44 (define @t152 () (@list @t47)) % 16.17/16.44 (define @t153 () (not (= @t50 @t51))) % 16.17/16.44 (define @t154 () (not (= tptp.sk_c6 @t53))) % 16.17/16.44 (define @t155 () (or @t153 @t154 @t153 @t147)) % 16.17/16.44 (define @t156 () (@list @t50)) % 16.17/16.44 (define @t157 () (or @t154 @t153 @t147)) % 16.17/16.44 (define @t158 () (forall @t156 @t157)) % 16.17/16.44 (define @t159 () (forall @t152 @t158)) % 16.17/16.44 (define @t160 () (forall (@list @t47 @t50) @t157)) % 16.17/16.44 (define @t161 () (forall (@list @t50 @t47) @t157)) % 16.17/16.44 (define @t162 () (or @t146 @t115 @t86 @t161)) % 16.17/16.44 (define @t163 () (or @t145 @t114 @t85 @t157)) % 16.17/16.44 (define @t164 () (or @t144 @t143 @t113 @t112 @t84 @t83 @t154 @t153 @t147)) % 16.17/16.44 (define @t165 () (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 @t117))) % 16.17/16.44 (define @t166 () (and @t74 @t75 @t76 @t77 @t78 @t90 @t92 @t134 @t132 @t129 @t94 @t126 @t97 @t122)) % 16.17/16.44 (define @t167 () (not @t165)) % 16.17/16.44 (define @t168 () (or @t167 @t80)) % 16.17/16.44 (define @t169 () (not @t168)) % 16.17/16.44 (define @t170 () (forall @t152 @t149)) % 16.17/16.44 (define @t171 () (not @t73)) % 16.17/16.44 (define @t172 () (= tptp.sk_c6 @t11)) % 16.17/16.44 (define @t173 () (not @t172)) % 16.17/16.44 (define @t174 () (or @t173 @t171)) % 16.17/16.44 (define @t175 () (@list tptp.sk_c1)) % 16.17/16.44 (define @t176 () (= tptp.sk_c6 @t40)) % 16.17/16.44 (define @t177 () (@list tptp.sk_c6)) % 16.17/16.44 (define @t178 () (tptp.multiply tptp.identity tptp.sk_c1)) % 16.17/16.44 (define @t179 () (= tptp.sk_c1 @t178)) % 16.17/16.44 (define @t180 () (tptp.multiply @t26 tptp.sk_c1)) % 16.17/16.44 (define @t181 () (= tptp.identity @t180)) % 16.17/16.44 (define @t182 () (tptp.multiply tptp.identity tptp.sk_c6)) % 16.17/16.44 (define @t183 () (= tptp.sk_c6 @t182)) % 16.17/16.44 (define @t184 () (tptp.multiply tptp.identity tptp.sk_c5)) % 16.17/16.44 (define @t185 () (= tptp.sk_c5 @t184)) % 16.17/16.44 (define @t186 () (tptp.multiply tptp.sk_c7 tptp.sk_c1)) % 16.17/16.44 (define @t187 () (tptp.multiply @t116 @t186)) % 16.17/16.44 (define @t188 () (tptp.multiply @t120 tptp.sk_c1)) % 16.17/16.44 (define @t189 () (= @t188 @t187)) % 16.17/16.44 (define @t190 () (tptp.multiply @t124 tptp.identity)) % 16.17/16.44 (define @t191 () (= @t190 (tptp.multiply @t116 @t89))) % 16.17/16.44 (define @t192 () (tptp.multiply @t11 tptp.sk_c3)) % 16.17/16.44 (define @t193 () (= @t192 (tptp.multiply tptp.sk_c1 @t119))) % 16.17/16.44 (define @t194 () (tptp.multiply tptp.sk_c1 @t17)) % 16.17/16.44 (define @t195 () (tptp.multiply @t11 tptp.sk_c5)) % 16.17/16.44 (define @t196 () (= @t195 @t194)) % 16.17/16.44 (define @t197 () (= tptp.sk_c7 @t182)) % 16.17/16.44 (define @t198 () (tptp.multiply @t89 tptp.sk_c1)) % 16.17/16.44 (define @t199 () (tptp.multiply tptp.identity @t178)) % 16.17/16.44 (define @t200 () (tptp.multiply tptp.sk_c6 tptp.sk_c6)) % 16.17/16.44 (define @t201 () (tptp.multiply tptp.sk_c3 @t200)) % 16.17/16.44 (define @t202 () (tptp.multiply tptp.sk_c1 tptp.identity)) % 16.17/16.44 (define @t203 () (tptp.multiply tptp.sk_c1 tptp.sk_c1)) % 16.17/16.44 (define @t204 () (tptp.multiply tptp.identity @t184)) % 16.17/16.44 (define @t205 () (tptp.multiply @t89 tptp.sk_c5)) % 16.17/16.44 (define @t206 () (and @t172 @t74 @t75 @t76 @t77 @t78 @t73 @t90 @t179 @t181 @t92 @t134 @t183 @t132 @t129 @t185 @t94 @t189 @t126 @t191 @t97 @t193 @t196)) % 16.17/16.44 (define @t207 () (not @t196)) % 16.17/16.44 (define @t208 () (not @t193)) % 16.17/16.44 (define @t209 () (not @t191)) % 16.17/16.44 (define @t210 () (not @t189)) % 16.17/16.44 (define @t211 () (not @t185)) % 16.17/16.44 (define @t212 () (not @t181)) % 16.17/16.44 (define @t213 () (not @t179)) % 16.17/16.44 (define @t214 () (tptp.multiply @t26 @t11)) % 16.17/16.44 (define @t215 () (= (tptp.multiply @t180 tptp.sk_c7) @t214)) % 16.17/16.44 (define @t216 () (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 @t11))) % 16.17/16.44 (define @t217 () (and @t172 @t74 @t75 @t76 @t77 @t78 @t73 @t90 @t179 @t181 @t92 @t134 @t132 @t129 @t185 @t94 @t189 @t126 @t191 @t215 @t97 @t193 @t196)) % 16.17/16.44 (define @t218 () (not @t216)) % 16.17/16.44 (define @t219 () (or @t218 @t171)) % 16.17/16.44 (define @t220 () (not @t176)) % 16.17/16.44 (define @t221 () (= tptp.sk_c7 @t33)) % 16.17/16.44 (define @t222 () (not @t221)) % 16.17/16.44 (define @t223 () (or @t222 @t220)) % 16.17/16.44 (define @t224 () (@list tptp.sk_c2)) % 16.17/16.44 (define @t225 () (tptp.multiply tptp.identity tptp.sk_c2)) % 16.17/16.44 (define @t226 () (= tptp.sk_c2 @t225)) % 16.17/16.44 (define @t227 () (tptp.multiply @t40 tptp.sk_c2)) % 16.17/16.44 (define @t228 () (= tptp.identity @t227)) % 16.17/16.44 (define @t229 () (tptp.inverse tptp.identity)) % 16.17/16.44 (define @t230 () (tptp.multiply tptp.identity @t225)) % 16.17/16.44 (define @t231 () (tptp.multiply @t89 tptp.sk_c2)) % 16.17/16.44 (define @t232 () (tptp.inverse tptp.sk_c6)) % 16.17/16.44 (define @t233 () (= tptp.sk_c7 (tptp.inverse @t232))) % 16.17/16.44 (define @t234 () (and @t172 @t73 @t221 @t176 @t90 @t179 @t181 @t92 @t134 @t226 @t228 @t189 @t126)) % 16.17/16.44 (define @t235 () (not @t228)) % 16.17/16.44 (define @t236 () (not @t226)) % 16.17/16.44 (define @t237 () (tptp.multiply @t232 tptp.sk_c6)) % 16.17/16.44 (define @t238 () (= tptp.identity @t237)) % 16.17/16.44 (define @t239 () (= tptp.sk_c7 @t237)) % 16.17/16.44 (define @t240 () (and @t172 @t73 @t221 @t176 @t90 @t179 @t181 @t92 @t134 @t238 @t226 @t228 @t189 @t126)) % 16.17/16.44 (define @t241 () (not @t239)) % 16.17/16.44 (define @t242 () (not @t233)) % 16.17/16.44 (define @t243 () (or @t242 @t241)) % 16.17/16.44 (define @t244 () (@list true)) % 16.17/16.44 (define @t245 () (@list @t172)) % 16.17/16.44 (define @t246 () (@list false false)) % 16.17/16.44 (define @t247 () (@list false false false false false false false false false false false false false false)) % 16.17/16.44 (define @t248 () (@list @t74 @t75 @t76 @t77 @t78 @t90 @t92 @t134 @t132 @t129 @t94 @t126 @t97 @t122)) % 16.17/16.44 (assume @p1 @t4) % 16.17/16.44 (assume @p2 @t6) % 16.17/16.44 (assume @p3 (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 16.17/16.44 (assume @p4 @t13) % 16.17/16.44 (assume @p5 @t16) % 16.17/16.44 (assume @p6 @t19) % 16.17/16.44 (assume @p7 @t22) % 16.17/16.44 (assume @p8 @t25) % 16.17/16.44 (assume @p9 @t28) % 16.17/16.44 (assume @p10 @t29) % 16.17/16.44 (assume @p11 @t30) % 16.17/16.44 (assume @p12 @t31) % 16.17/16.44 (assume @p13 @t32) % 16.17/16.44 (assume @p14 @t35) % 16.17/16.44 (assume @p15 @t36) % 16.17/16.44 (assume @p16 @t37) % 16.17/16.44 (assume @p17 @t38) % 16.17/16.44 (assume @p18 @t39) % 16.17/16.44 (assume @p19 @t42) % 16.17/16.44 (assume @p20 @t43) % 16.17/16.44 (assume @p21 @t44) % 16.17/16.44 (assume @p22 @t45) % 16.17/16.44 (assume @p23 @t46) % 16.17/16.44 (assume @p24 @t72) % 16.17/16.44 (step @p25 :rule eq-symm :args (@t9 tptp.sk_c7)) % 16.17/16.44 (step @p26 :rule eq-symm :args (@t26 tptp.sk_c7)) % 16.17/16.44 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t28)) % 16.17/16.44 (step @p28 :rule eq_resolve :premises (@p9 @p27)) % 16.17/16.44 (step @p29 :rule reordering :premises (@p28) :args ((or @t74 @t73))) % 16.17/16.44 (step @p30 :rule eq-symm :args (@t14 tptp.sk_c7)) % 16.17/16.44 (step @p31 :rule nary_cong :premises (@p26 @p30) :args (@t29)) % 16.17/16.44 (step @p32 :rule eq_resolve :premises (@p10 @p31)) % 16.17/16.44 (step @p33 :rule reordering :premises (@p32) :args ((or @t75 @t73))) % 16.17/16.44 (step @p34 :rule eq-symm :args (@t17 tptp.sk_c6)) % 16.17/16.44 (step @p35 :rule nary_cong :premises (@p26 @p34) :args (@t30)) % 16.17/16.44 (step @p36 :rule eq_resolve :premises (@p11 @p35)) % 16.17/16.44 (step @p37 :rule reordering :premises (@p36) :args ((or @t76 @t73))) % 16.17/16.44 (step @p38 :rule eq-symm :args (@t20 tptp.sk_c5)) % 16.17/16.44 (step @p39 :rule nary_cong :premises (@p26 @p38) :args (@t31)) % 16.17/16.44 (step @p40 :rule eq_resolve :premises (@p12 @p39)) % 16.17/16.44 (step @p41 :rule reordering :premises (@p40) :args ((or @t77 @t73))) % 16.17/16.44 (step @p42 :rule eq-symm :args (@t23 tptp.sk_c7)) % 16.17/16.44 (step @p43 :rule nary_cong :premises (@p26 @p42) :args (@t32)) % 16.17/16.44 (step @p44 :rule eq_resolve :premises (@p13 @p43)) % 16.17/16.44 (step @p45 :rule reordering :premises (@p44) :args ((or @t78 @t73))) % 16.17/16.44 (step @p46 :rule cnf_or_pos :args (@t81)) % 16.17/16.44 (step @p47 :rule reordering :premises (@p46) :args ((or @t80 @t79 @t82))) % 16.17/16.44 (assume-push @p1067 @t86) % 16.17/16.44 (step @p49 :rule instantiate :premises (@p1067) :args (@t87)) % 16.17/16.44 (step-pop @p1068 :rule scope :premises (@p49)) % 16.17/16.44 (step @p50 :rule process_scope :premises (@p1068) :args (@t81)) % 16.17/16.44 (step @p52 :rule implies_elim :premises (@p50)) % 16.17/16.44 (step @p53 :rule eq-symm :args (@t2 @t1)) % 16.17/16.44 (step @p54 :rule cong :premises (@p53) :args (@t4)) % 16.17/16.44 (step @p55 :rule eq_resolve :premises (@p1 @p54)) % 16.17/16.44 (step @p56 :rule instantiate :premises (@p55) :args ((@list tptp.identity))) % 16.17/16.44 (step @p57 :rule instantiate :premises (@p55) :args (@t88)) % 16.17/16.44 (step @p58 :rule eq-symm :args (@t5 tptp.identity)) % 16.17/16.44 (step @p59 :rule cong :premises (@p58) :args (@t6)) % 16.17/16.44 (step @p60 :rule eq_resolve :premises (@p2 @p59)) % 16.17/16.44 (step @p61 :rule instantiate :premises (@p60) :args ((@list tptp.sk_c4))) % 16.17/16.44 (step @p62 :rule instantiate :premises (@p3) :args ((@list @t23 tptp.sk_c4 tptp.sk_c7))) % 16.17/16.44 (assume-push @p1069 @t74) % 16.17/16.44 (assume-push @p1070 @t76) % 16.17/16.44 (assume-push @p1071 @t77) % 16.17/16.44 (assume-push @p1072 @t78) % 16.17/16.44 (assume-push @p1073 @t90) % 16.17/16.44 (assume-push @p1074 @t92) % 16.17/16.44 (assume-push @p1075 @t94) % 16.17/16.44 (assume-push @p1076 @t97) % 16.17/16.44 (assume-push @p1077 @t74) % 16.17/16.44 (assume-push @p1078 @t92) % 16.17/16.44 (assume-push @p1079 @t90) % 16.17/16.44 (assume-push @p1080 @t94) % 16.17/16.44 (assume-push @p1081 @t97) % 16.17/16.44 (assume-push @p1082 @t78) % 16.17/16.44 (assume-push @p1083 @t77) % 16.17/16.44 (assume-push @p1084 @t76) % 16.17/16.44 (step @p79 :rule symm :premises (@p57)) % 16.17/16.44 (step @p80 :rule refl :args (tptp.sk_c7)) % 16.17/16.44 (step @p81 :rule symm :premises (@p56)) % 16.17/16.44 (step @p82 :rule cong :premises (@p81 @p80) :args (@t98)) % 16.17/16.44 (step @p83 :rule cong :premises (@p56 @p79) :args (@t99)) % 16.17/16.44 (step @p84 :rule symm :premises (@p61)) % 16.17/16.44 (step @p85 :rule cong :premises (@p84 @p57) :args (@t96)) % 16.17/16.44 (step @p86 :rule symm :premises (@p62)) % 16.17/16.44 (step @p87 :rule cong :premises (@p1072 @p1071) :args (@t17)) % 16.17/16.44 (step @p88 :rule trans :premises (@p1070 @p87 @p86 @p85 @p83 @p82 @p79 @p1069)) % 16.17/16.44 (step-pop @p1085 :rule scope :premises (@p88)) % 16.17/16.44 (step-pop @p1086 :rule scope :premises (@p1085)) % 16.17/16.44 (step-pop @p1087 :rule scope :premises (@p1086)) % 16.17/16.44 (step-pop @p1088 :rule scope :premises (@p1087)) % 16.17/16.44 (step-pop @p1089 :rule scope :premises (@p1088)) % 16.17/16.44 (step-pop @p1090 :rule scope :premises (@p1089)) % 16.17/16.44 (step-pop @p1091 :rule scope :premises (@p1090)) % 16.17/16.44 (step-pop @p1092 :rule scope :premises (@p1091)) % 16.17/16.44 (step @p89 :rule process_scope :premises (@p1092) :args (@t100)) % 16.17/16.44 (step @p98 :rule and_intro :premises (@p1069 @p57 @p56 @p61 @p62 @p1072 @p1071 @p1070)) % 16.17/16.44 (step @p99 :rule modus_ponens :premises (@p98 @p89)) % 16.17/16.44 (step-pop @p1093 :rule scope :premises (@p99)) % 16.17/16.44 (step-pop @p1094 :rule scope :premises (@p1093)) % 16.17/16.44 (step-pop @p1095 :rule scope :premises (@p1094)) % 16.17/16.44 (step-pop @p1096 :rule scope :premises (@p1095)) % 16.17/16.44 (step-pop @p1097 :rule scope :premises (@p1096)) % 16.17/16.44 (step-pop @p1098 :rule scope :premises (@p1097)) % 16.17/16.44 (step-pop @p1099 :rule scope :premises (@p1098)) % 16.17/16.44 (step-pop @p1100 :rule scope :premises (@p1099)) % 16.17/16.44 (step @p100 :rule process_scope :premises (@p1100) :args (@t100)) % 16.17/16.44 (step @p109 :rule implies_elim :premises (@p100)) % 16.17/16.44 (step @p110 :rule cnf_and_neg :args (@t101)) % 16.17/16.44 (step @p111 :rule resolution :premises (@p110 @p109) :args (true @t101)) % 16.17/16.44 (step @p112 :rule reordering :premises (@p111) :args ((or @t80 @t108 @t107 @t106 @t105 @t104 @t103 @t100 @t102))) % 16.17/16.44 (step @p113 :rule cnf_or_pos :args (@t110)) % 16.17/16.44 (step @p114 :rule reordering :premises (@p113) :args ((or @t79 @t109 @t111))) % 16.17/16.44 (assume-push @p1101 @t115) % 16.17/16.44 (step @p116 :rule instantiate :premises (@p1101) :args (@t87)) % 16.17/16.44 (step-pop @p1102 :rule scope :premises (@p116)) % 16.17/16.44 (step @p117 :rule process_scope :premises (@p1102) :args (@t110)) % 16.17/16.44 (step @p119 :rule implies_elim :premises (@p117)) % 16.17/16.44 (step @p120 :rule instantiate :premises (@p60) :args (@t88)) % 16.17/16.44 (step @p121 :rule instantiate :premises (@p55) :args (@t87)) % 16.17/16.44 (step @p122 :rule instantiate :premises (@p60) :args (@t87)) % 16.17/16.44 (step @p123 :rule instantiate :premises (@p3) :args ((@list @t116 tptp.identity tptp.sk_c7))) % 16.17/16.44 (step @p124 :rule instantiate :premises (@p3) :args ((@list @t116 tptp.sk_c7 tptp.sk_c3))) % 16.17/16.44 (step @p125 :rule bool-double-not-elim :args (@t118)) % 16.17/16.44 (step @p126 :rule refl :args (@t123)) % 16.17/16.44 (step @p127 :rule refl :args (@t102)) % 16.17/16.44 (step @p128 :rule refl :args (@t127)) % 16.17/16.44 (step @p129 :rule refl :args (@t103)) % 16.17/16.44 (step @p130 :rule refl :args (@t130)) % 16.17/16.44 (step @p131 :rule refl :args (@t133)) % 16.17/16.44 (step @p132 :rule refl :args (@t135)) % 16.17/16.44 (step @p133 :rule refl :args (@t104)) % 16.17/16.44 (step @p134 :rule refl :args (@t105)) % 16.17/16.44 (step @p135 :rule refl :args (@t106)) % 16.17/16.44 (step @p136 :rule refl :args (@t107)) % 16.17/16.44 (step @p137 :rule refl :args (@t108)) % 16.17/16.44 (step @p138 :rule refl :args (@t79)) % 16.17/16.44 (step @p139 :rule refl :args (@t80)) % 16.17/16.44 (step @p140 :rule nary_cong :premises (@p139 @p138 @p137 @p136 @p135 @p134 @p133 @p132 @p131 @p130 @p129 @p128 @p127 @p126 @p125) :args ((or @t80 @t79 @t108 @t107 @t106 @t105 @t104 @t135 @t133 @t130 @t103 @t127 @t102 @t123 (not @t136)))) % 16.17/16.44 (assume-push @p1103 @t118) % 16.17/16.44 (assume-push @p1104 @t136) % 16.17/16.44 (step @p143 :rule evaluate :args ((= true false))) % 16.17/16.44 (step @p144 :rule false_intro :premises (@p1104)) % 16.17/16.44 (step @p145 :rule true_intro :premises (@p1103)) % 16.17/16.44 (step @p146 :rule symm :premises (@p145)) % 16.17/16.44 (step @p147 :rule trans :premises (@p146 @p144)) % 16.17/16.44 (step @p148 false :rule eq_resolve :premises (@p147 @p143)) % 16.17/16.44 (step-pop @p1105 :rule scope :premises (@p148)) % 16.17/16.44 (step-pop @p1106 :rule scope :premises (@p1105)) % 16.17/16.44 (step @p149 :rule process_scope :premises (@p1106) :args (false)) % 16.17/16.44 (assume-push @p1107 @t74) % 16.17/16.44 (assume-push @p1108 @t75) % 16.17/16.44 (assume-push @p1109 @t76) % 16.17/16.44 (assume-push @p1110 @t77) % 16.17/16.44 (assume-push @p1111 @t78) % 16.17/16.44 (assume-push @p1112 @t90) % 16.17/16.44 (assume-push @p1113 @t92) % 16.17/16.44 (assume-push @p1114 @t134) % 16.17/16.44 (assume-push @p1115 @t132) % 16.17/16.44 (assume-push @p1116 @t129) % 16.17/16.44 (assume-push @p1117 @t94) % 16.17/16.44 (assume-push @p1118 @t126) % 16.17/16.44 (assume-push @p1119 @t97) % 16.17/16.44 (assume-push @p1120 @t122) % 16.17/16.44 (assume-push @p1121 @t136) % 16.17/16.44 (assume-push @p1122 @t132) % 16.17/16.44 (assume-push @p1123 @t90) % 16.17/16.44 (assume-push @p1124 @t134) % 16.17/16.44 (assume-push @p1125 @t122) % 16.17/16.44 (assume-push @p1126 @t74) % 16.17/16.44 (assume-push @p1127 @t129) % 16.17/16.44 (assume-push @p1128 @t92) % 16.17/16.44 (assume-push @p1129 @t126) % 16.17/16.44 (assume-push @p1130 @t94) % 16.17/16.44 (assume-push @p1131 @t97) % 16.17/16.44 (assume-push @p1132 @t78) % 16.17/16.44 (assume-push @p1133 @t77) % 16.17/16.44 (assume-push @p1134 @t76) % 16.17/16.44 (assume-push @p1135 @t75) % 16.17/16.44 (step @p181 :rule symm :premises (@p1108)) % 16.17/16.44 (step @p182 :rule symm :premises (@p1109)) % 16.17/16.44 (step @p183 :rule symm :premises (@p1110)) % 16.17/16.44 (step @p184 :rule symm :premises (@p1111)) % 16.17/16.44 (step @p185 :rule cong :premises (@p184 @p183) :args (@t95)) % 16.17/16.44 (step @p79 :rule symm :premises (@p57)) % 16.17/16.44 (step @p186 :rule cong :premises (@p61 @p79) :args (@t99)) % 16.17/16.44 (step @p81 :rule symm :premises (@p56)) % 16.17/16.44 (step @p187 :rule cong :premises (@p81 @p57) :args (@t98)) % 16.17/16.44 (step @p80 :rule refl :args (tptp.sk_c7)) % 16.17/16.44 (step @p188 :rule cong :premises (@p56 @p80) :args (@t91)) % 16.17/16.44 (step @p189 :rule trans :premises (@p57 @p188 @p187 @p186 @p62 @p185 @p182)) % 16.17/16.44 (step @p190 :rule symm :premises (@p121)) % 16.17/16.44 (step @p191 :rule refl :args (tptp.sk_c3)) % 16.17/16.44 (step @p192 :rule cong :premises (@p81 @p191) :args (@t137)) % 16.17/16.44 (step @p193 :rule cong :premises (@p56 @p190) :args (@t138)) % 16.17/16.44 (step @p194 :rule symm :premises (@p120)) % 16.17/16.44 (step @p195 :rule cong :premises (@p194 @p121) :args (@t121)) % 16.17/16.44 (step @p196 :rule symm :premises (@p124)) % 16.17/16.44 (step @p197 :rule symm :premises (@p1107)) % 16.17/16.44 (step @p198 :rule cong :premises (@p197 @p191) :args (@t128)) % 16.17/16.44 (step @p199 :rule trans :premises (@p122 @p198)) % 16.17/16.44 (step @p200 :rule refl :args (@t116)) % 16.17/16.44 (step @p201 :rule cong :premises (@p200 @p199) :args (@t124)) % 16.17/16.44 (step @p202 :rule trans :premises (@p201 @p196 @p195 @p193 @p192 @p190)) % 16.17/16.44 (step @p203 :rule cong :premises (@p202 @p189) :args (@t125)) % 16.17/16.44 (step @p204 :rule symm :premises (@p123)) % 16.17/16.44 (step @p205 :rule cong :premises (@p200 @p57) :args (@t120)) % 16.17/16.44 (step @p206 :rule trans :premises (@p120 @p205 @p204 @p203 @p181)) % 16.17/16.44 (step @p207 :rule symm :premises (@p205)) % 16.17/16.44 (step @p208 :rule symm :premises (@p203)) % 16.17/16.44 (step @p82 :rule cong :premises (@p81 @p80) :args (@t98)) % 16.17/16.44 (step @p83 :rule cong :premises (@p56 @p79) :args (@t99)) % 16.17/16.44 (step @p84 :rule symm :premises (@p61)) % 16.17/16.44 (step @p85 :rule cong :premises (@p84 @p57) :args (@t96)) % 16.17/16.44 (step @p86 :rule symm :premises (@p62)) % 16.17/16.44 (step @p209 :rule symm :premises (@p185)) % 16.17/16.44 (step @p210 :rule trans :premises (@p209 @p86 @p85 @p83 @p82 @p79 @p1108 @p208 @p123 @p207 @p194)) % 16.17/16.44 (step @p211 :rule cong :premises (@p200 @p210) :args (@t139)) % 16.17/16.44 (step @p212 :rule trans :premises (@p57 @p188 @p187 @p186 @p62 @p185)) % 16.17/16.44 (step @p213 :rule cong :premises (@p200 @p212) :args (@t120)) % 16.17/16.44 (step @p214 :rule trans :premises (@p120 @p213 @p211 @p201 @p196 @p195 @p193 @p192 @p190)) % 16.17/16.44 (step @p215 :rule cong :premises (@p214 @p206) :args (@t89)) % 16.17/16.44 (step @p216 :rule trans :premises (@p1109 @p209 @p86 @p85 @p83 @p82 @p79 @p1108 @p208 @p123 @p207 @p194 @p56 @p215)) % 16.17/16.44 (step-pop @p1136 :rule scope :premises (@p216)) % 16.17/16.44 (step-pop @p1137 :rule scope :premises (@p1136)) % 16.17/16.44 (step-pop @p1138 :rule scope :premises (@p1137)) % 16.17/16.44 (step-pop @p1139 :rule scope :premises (@p1138)) % 16.17/16.44 (step-pop @p1140 :rule scope :premises (@p1139)) % 16.17/16.44 (step-pop @p1141 :rule scope :premises (@p1140)) % 16.17/16.44 (step-pop @p1142 :rule scope :premises (@p1141)) % 16.17/16.44 (step-pop @p1143 :rule scope :premises (@p1142)) % 16.17/16.44 (step-pop @p1144 :rule scope :premises (@p1143)) % 16.17/16.44 (step-pop @p1145 :rule scope :premises (@p1144)) % 16.17/16.44 (step-pop @p1146 :rule scope :premises (@p1145)) % 16.17/16.44 (step-pop @p1147 :rule scope :premises (@p1146)) % 16.17/16.44 (step-pop @p1148 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(assume-push @p1330 @t78) % 16.17/16.44 (assume-push @p1331 @t73) % 16.17/16.44 (assume-push @p1332 @t90) % 16.17/16.44 (assume-push @p1333 @t179) % 16.17/16.44 (assume-push @p1334 @t181) % 16.17/16.44 (assume-push @p1335 @t92) % 16.17/16.44 (assume-push @p1336 @t134) % 16.17/16.44 (assume-push @p1337 @t132) % 16.17/16.44 (assume-push @p1338 @t129) % 16.17/16.44 (assume-push @p1339 @t185) % 16.17/16.44 (assume-push @p1340 @t94) % 16.17/16.44 (assume-push @p1341 @t189) % 16.17/16.44 (assume-push @p1342 @t126) % 16.17/16.44 (assume-push @p1343 @t191) % 16.17/16.44 (assume-push @p1344 @t215) % 16.17/16.44 (assume-push @p1345 @t97) % 16.17/16.44 (assume-push @p1346 @t193) % 16.17/16.44 (assume-push @p1347 @t196) % 16.17/16.44 (assume-push @p1348 @t172) % 16.17/16.44 (assume-push @p1349 @t73) % 16.17/16.44 (assume-push @p1350 @t215) % 16.17/16.44 (assume-push @p1351 @t181) % 16.17/16.44 (assume-push @p1352 @t92) % 16.17/16.44 (assume-push @p1353 @t94) % 16.17/16.44 (assume-push @p1354 @t97) % 16.17/16.44 (assume-push @p1355 @t78) % 16.17/16.44 (assume-push @p1356 @t75) % 16.17/16.44 (assume-push @p1357 @t179) % 16.17/16.44 (assume-push @p1358 @t90) % 16.17/16.44 (assume-push @p1359 @t134) % 16.17/16.44 (assume-push @p1360 @t189) % 16.17/16.44 (assume-push @p1361 @t126) % 16.17/16.44 (assume-push @p1362 @t132) % 16.17/16.44 (assume-push @p1363 @t193) % 16.17/16.44 (assume-push @p1364 @t74) % 16.17/16.44 (assume-push @p1365 @t129) % 16.17/16.44 (assume-push @p1366 @t191) % 16.17/16.44 (assume-push @p1367 @t77) % 16.17/16.44 (assume-push @p1368 @t185) % 16.17/16.44 (assume-push @p1369 @t196) % 16.17/16.44 (assume-push @p1370 @t76) % 16.17/16.44 (step @p80 :rule refl :args (tptp.sk_c7)) % 16.17/16.44 (step @p657 :rule cong :premises (@p80 @p1325) :args ((tptp.multiply tptp.sk_c7 tptp.sk_c6))) % 16.17/16.44 (step @p658 :rule symm :premises (@p1325)) % 16.17/16.44 (step @p659 :rule symm :premises (@p1331)) % 16.17/16.44 (step @p660 :rule cong :premises (@p659 @p658) :args 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16.17/16.44 (assume-push @p1478 @t179) % 16.17/16.44 (assume-push @p1479 @t181) % 16.17/16.44 (assume-push @p1480 @t92) % 16.17/16.44 (assume-push @p1481 @t134) % 16.17/16.44 (assume-push @p1482 @t238) % 16.17/16.44 (assume-push @p1483 @t226) % 16.17/16.44 (assume-push @p1484 @t228) % 16.17/16.44 (assume-push @p1485 @t189) % 16.17/16.44 (assume-push @p1486 @t126) % 16.17/16.44 (assume-push @p1487 @t238) % 16.17/16.44 (assume-push @p1488 @t90) % 16.17/16.44 (assume-push @p1489 @t228) % 16.17/16.44 (assume-push @p1490 @t176) % 16.17/16.44 (assume-push @p1491 @t172) % 16.17/16.44 (assume-push @p1492 @t179) % 16.17/16.44 (assume-push @p1493 @t134) % 16.17/16.44 (assume-push @p1494 @t189) % 16.17/16.44 (assume-push @p1495 @t73) % 16.17/16.44 (assume-push @p1496 @t181) % 16.17/16.44 (assume-push @p1497 @t126) % 16.17/16.44 (assume-push @p1498 @t92) % 16.17/16.44 (assume-push @p1499 @t226) % 16.17/16.44 (assume-push @p1500 @t221) % 16.17/16.44 (step @p81 :rule symm :premises (@p56)) % 16.17/16.44 (step @p194 :rule symm :premises (@p120)) % 16.17/16.44 (step @p200 :rule refl :args (@t116)) % 16.17/16.44 (step @p205 :rule cong :premises (@p200 @p57) :args (@t120)) % 16.17/16.44 (step @p207 :rule symm :premises (@p205)) % 16.17/16.44 (step @p80 :rule refl :args (tptp.sk_c7)) % 16.17/16.44 (step @p664 :rule symm :premises (@p432)) % 16.17/16.44 (step @p496 :rule refl :args (tptp.sk_c1)) % 16.17/16.44 (step @p885 :rule cong :premises (@p1474 @p496) :args (@t186)) % 16.17/16.44 (step @p886 :rule trans :premises (@p885 @p664)) % 16.17/16.44 (step @p887 :rule cong :premises (@p200 @p886) :args (@t187)) % 16.17/16.44 (step @p499 :rule cong :premises (@p194 @p431) :args (@t188)) % 16.17/16.44 (step @p527 :rule symm :premises (@p499)) % 16.17/16.44 (step @p495 :rule symm :premises (@p431)) % 16.17/16.44 (step @p498 :rule cong :premises (@p56 @p495) :args (@t199)) % 16.17/16.44 (step @p528 :rule symm :premises (@p498)) % 16.17/16.44 (step @p497 :rule cong :premises (@p81 @p496) :args (@t198)) % 16.17/16.44 (step @p529 :rule symm :premises (@p497)) % 16.17/16.44 (step @p888 :rule trans :premises (@p431 @p529 @p528 @p527 @p435 @p887)) % 16.17/16.44 (step @p889 :rule cong :premises (@p888 @p80) :args (@t11)) % 16.17/16.44 (step @p890 :rule trans :premises (@p1473 @p889 @p123 @p207 @p194)) % 16.17/16.44 (step @p808 :rule symm :premises (@p772)) % 16.17/16.44 (step @p809 :rule symm :premises (@p771)) % 16.17/16.44 (step @p891 :rule symm :premises (@p1473)) % 16.17/16.44 (step @p892 :rule symm :premises (@p889)) % 16.17/16.44 (step @p204 :rule symm :premises (@p123)) % 16.17/16.44 (step @p893 :rule trans :premises (@p120 @p205 @p204 @p892 @p891 @p1476)) % 16.17/16.44 (step @p894 :rule cong :premises (@p893 @p809) :args (@t230)) % 16.17/16.44 (step @p812 :rule cong :premises (@p81 @p771) :args (@t231)) % 16.17/16.44 (step @p813 :rule refl :args (tptp.sk_c2)) % 16.17/16.44 (step @p814 :rule cong :premises (@p56 @p813) :args (@t225)) % 16.17/16.44 (step @p895 :rule trans :premises (@p771 @p814 @p812 @p894 @p808)) % 16.17/16.44 (step @p896 :rule cong :premises (@p895 @p890) :args (@t33)) % 16.17/16.44 (step @p897 :rule trans :premises (@p1475 @p896 @p81 @p856)) % 16.17/16.44 (step-pop @p1501 :rule scope :premises (@p897)) % 16.17/16.44 (step-pop @p1502 :rule scope :premises (@p1501)) % 16.17/16.44 (step-pop @p1503 :rule scope :premises (@p1502)) % 16.17/16.44 (step-pop @p1504 :rule scope :premises (@p1503)) % 16.17/16.44 (step-pop @p1505 :rule scope :premises (@p1504)) % 16.17/16.44 (step-pop @p1506 :rule scope :premises (@p1505)) % 16.17/16.44 (step-pop @p1507 :rule scope :premises (@p1506)) % 16.17/16.44 (step-pop @p1508 :rule scope :premises (@p1507)) % 16.17/16.44 (step-pop @p1509 :rule scope :premises (@p1508)) % 16.17/16.44 (step-pop @p1510 :rule scope :premises (@p1509)) % 16.17/16.44 (step-pop @p1511 :rule scope :premises (@p1510)) % 16.17/16.44 (step-pop @p1512 :rule scope :premises (@p1511)) % 16.17/16.44 (step-pop @p1513 :rule scope :premises (@p1512)) % 16.17/16.44 (step-pop @p1514 :rule scope :premises (@p1513)) % 16.17/16.44 (step @p898 :rule process_scope :premises (@p1514) :args (@t239)) % 16.17/16.44 (step @p913 :rule and_intro :premises (@p856 @p56 @p772 @p1476 @p1473 @p431 @p120 @p435 @p1474 @p432 @p123 @p57 @p771 @p1475)) % 16.17/16.44 (step @p914 :rule modus_ponens :premises (@p913 @p898)) % 16.17/16.44 (step-pop @p1515 :rule scope :premises (@p914)) % 16.17/16.44 (step-pop @p1516 :rule scope :premises (@p1515)) % 16.17/16.44 (step-pop @p1517 :rule scope :premises (@p1516)) % 16.17/16.44 (step-pop @p1518 :rule scope :premises (@p1517)) % 16.17/16.44 (step-pop @p1519 :rule scope :premises (@p1518)) % 16.17/16.44 (step-pop @p1520 :rule scope :premises (@p1519)) % 16.17/16.44 (step-pop @p1521 :rule scope :premises (@p1520)) % 16.17/16.44 (step-pop @p1522 :rule scope :premises (@p1521)) % 16.17/16.44 (step-pop @p1523 :rule scope :premises (@p1522)) % 16.17/16.44 (step-pop @p1524 :rule scope :premises (@p1523)) % 16.17/16.44 (step-pop @p1525 :rule scope :premises (@p1524)) % 16.17/16.44 (step-pop @p1526 :rule scope :premises (@p1525)) % 16.17/16.44 (step-pop @p1527 :rule scope :premises (@p1526)) % 16.17/16.44 (step-pop @p1528 :rule scope :premises (@p1527)) % 16.17/16.44 (step @p915 :rule process_scope :premises (@p1528) :args (@t239)) % 16.17/16.44 (step @p930 :rule implies_elim :premises (@p915)) % 16.17/16.44 (step @p931 :rule cnf_and_neg :args (@t240)) % 16.17/16.44 (step @p932 :rule resolution :premises (@p931 @p930) :args (true @t240)) % 16.17/16.44 (step @p933 :rule reordering :premises (@p932) :args ((or @t173 @t171 @t222 @t220 @t105 @t213 @t212 @t104 @t135 (not @t238) @t236 @t235 @t239 @t210 @t127))) % 16.17/16.44 (step @p934 :rule cnf_or_pos :args (@t243)) % 16.17/16.44 (step @p935 :rule reordering :premises (@p934) :args ((or @t242 @t241 (not @t243)))) % 16.17/16.44 (assume-push @p1529 @t86) % 16.17/16.44 (step @p937 :rule instantiate :premises (@p1529) :args ((@list @t232))) % 16.17/16.44 (step-pop @p1530 :rule scope :premises (@p937)) % 16.17/16.44 (step @p938 :rule process_scope :premises (@p1530) :args (@t243)) % 16.17/16.44 (step @p940 :rule implies_elim :premises (@p938)) % 16.17/16.44 (assume-push @p1531 @t172) % 16.17/16.44 (assume-push @p1532 @t73) % 16.17/16.44 (assume-push @p1533 @t221) % 16.17/16.44 (assume-push @p1534 @t176) % 16.17/16.44 (assume-push @p1535 @t90) % 16.17/16.44 (assume-push @p1536 @t179) % 16.17/16.44 (assume-push @p1537 @t181) % 16.17/16.44 (assume-push @p1538 @t92) % 16.17/16.44 (assume-push @p1539 @t134) % 16.17/16.44 (assume-push @p1540 @t226) % 16.17/16.44 (assume-push @p1541 @t228) % 16.17/16.44 (assume-push @p1542 @t189) % 16.17/16.44 (assume-push @p1543 @t126) % 16.17/16.44 (assume-push @p1544 @t221) % 16.17/16.44 (assume-push @p1545 @t226) % 16.17/16.44 (assume-push @p1546 @t90) % 16.17/16.44 (assume-push @p1547 @t134) % 16.17/16.44 (assume-push @p1548 @t92) % 16.17/16.44 (assume-push @p1549 @t126) % 16.17/16.44 (assume-push @p1550 @t181) % 16.17/16.44 (assume-push @p1551 @t73) % 16.17/16.44 (assume-push @p1552 @t189) % 16.17/16.44 (assume-push @p1553 @t179) % 16.17/16.44 (assume-push @p1554 @t172) % 16.17/16.44 (assume-push @p1555 @t176) % 16.17/16.44 (assume-push @p1556 @t228) % 16.17/16.44 (step @p80 :rule refl :args (tptp.sk_c7)) % 16.17/16.44 (step @p495 :rule symm :premises (@p431)) % 16.17/16.44 (step @p496 :rule refl :args (tptp.sk_c1)) % 16.17/16.44 (step @p81 :rule symm :premises (@p56)) % 16.17/16.44 (step @p497 :rule cong :premises (@p81 @p496) :args (@t198)) % 16.17/16.44 (step @p498 :rule cong :premises (@p56 @p495) :args (@t199)) % 16.17/16.44 (step @p194 :rule symm :premises (@p120)) % 16.17/16.44 (step @p499 :rule cong :premises (@p194 @p431) :args (@t188)) % 16.17/16.44 (step @p500 :rule symm :premises (@p435)) % 16.17/16.44 (step @p967 :rule symm :premises (@p1532)) % 16.17/16.44 (step @p968 :rule cong :premises (@p967 @p496) :args (@t180)) % 16.17/16.44 (step @p969 :rule trans :premises (@p432 @p968)) % 16.17/16.44 (step @p200 :rule refl :args (@t116)) % 16.17/16.44 (step @p970 :rule cong :premises (@p200 @p969) :args (@t124)) % 16.17/16.44 (step @p971 :rule trans :premises (@p970 @p500 @p499 @p498 @p497 @p495)) % 16.17/16.44 (step @p972 :rule cong :premises (@p971 @p80) :args (@t125)) % 16.17/16.44 (step @p204 :rule symm :premises (@p123)) % 16.17/16.44 (step @p205 :rule cong :premises (@p200 @p57) :args (@t120)) % 16.17/16.44 (step @p973 :rule trans :premises (@p120 @p205 @p204 @p972)) % 16.17/16.44 (step @p974 :rule symm :premises (@p1533)) % 16.17/16.44 (step @p975 :rule symm :premises (@p1531)) % 16.17/16.44 (step @p976 :rule trans :premises (@p120 @p205 @p204 @p972 @p975)) % 16.17/16.44 (step @p809 :rule symm :premises (@p771)) % 16.17/16.44 (step @p813 :rule refl :args (tptp.sk_c2)) % 16.17/16.44 (step @p977 :rule cong :premises (@p81 @p813) :args (@t231)) % 16.17/16.44 (step @p978 :rule cong :premises (@p56 @p809) :args (@t230)) % 16.17/16.44 (step @p207 :rule symm :premises (@p205)) % 16.17/16.44 (step @p979 :rule symm :premises (@p972)) % 16.17/16.44 (step @p980 :rule symm :premises (@p1534)) % 16.17/16.44 (step @p981 :rule trans :premises (@p980 @p1531 @p979 @p123 @p207 @p194)) % 16.17/16.44 (step @p982 :rule cong :premises (@p981 @p771) :args (@t227)) % 16.17/16.44 (step @p983 :rule trans :premises (@p772 @p982 @p978 @p977 @p809)) % 16.17/16.44 (step @p984 :rule cong :premises (@p983 @p976) :args (@t89)) % 16.17/16.44 (step @p985 :rule trans :premises (@p56 @p984 @p974)) % 16.17/16.44 (step @p986 :rule cong :premises (@p985 @p973) :args (@t89)) % 16.17/16.44 (step @p987 :rule trans :premises (@p1531 @p979 @p123 @p207 @p194 @p56 @p986)) % 16.17/16.44 (step-pop @p1557 :rule scope :premises (@p987)) % 16.17/16.44 (step-pop @p1558 :rule scope :premises (@p1557)) % 16.17/16.44 (step-pop @p1559 :rule scope :premises (@p1558)) % 16.17/16.44 (step-pop @p1560 :rule scope :premises (@p1559)) % 16.17/16.44 (step-pop @p1561 :rule scope :premises (@p1560)) % 16.17/16.44 (step-pop @p1562 :rule scope :premises (@p1561)) % 16.17/16.44 (step-pop @p1563 :rule scope :premises (@p1562)) % 16.17/16.44 (step-pop @p1564 :rule scope :premises (@p1563)) % 16.17/16.44 (step-pop @p1565 :rule scope :premises (@p1564)) % 16.17/16.44 (step-pop @p1566 :rule scope :premises (@p1565)) % 16.17/16.44 (step-pop @p1567 :rule scope :premises (@p1566)) % 16.17/16.44 (step-pop @p1568 :rule scope :premises (@p1567)) % 16.17/16.44 (step-pop @p1569 :rule scope :premises (@p1568)) % 16.17/16.44 (step @p988 :rule process_scope :premises (@p1569) :args (@t216)) % 16.17/16.44 (step @p1002 :rule and_intro :premises (@p1533 @p771 @p56 @p120 @p57 @p123 @p432 @p1532 @p435 @p431 @p1531 @p1534 @p772)) % 16.17/16.44 (step @p1003 :rule modus_ponens :premises (@p1002 @p988)) % 16.17/16.44 (step-pop @p1570 :rule scope :premises (@p1003)) % 16.17/16.44 (step-pop @p1571 :rule scope :premises (@p1570)) % 16.17/16.44 (step-pop @p1572 :rule scope :premises (@p1571)) % 16.17/16.44 (step-pop @p1573 :rule scope :premises (@p1572)) % 16.17/16.44 (step-pop @p1574 :rule scope :premises (@p1573)) % 16.17/16.44 (step-pop @p1575 :rule scope :premises (@p1574)) % 16.17/16.44 (step-pop @p1576 :rule scope :premises (@p1575)) % 16.17/16.44 (step-pop @p1577 :rule scope :premises (@p1576)) % 16.17/16.44 (step-pop @p1578 :rule scope :premises (@p1577)) % 16.17/16.44 (step-pop @p1579 :rule scope :premises (@p1578)) % 16.17/16.44 (step-pop @p1580 :rule scope :premises (@p1579)) % 16.17/16.44 (step-pop @p1581 :rule scope :premises (@p1580)) % 16.17/16.44 (step-pop @p1582 :rule scope :premises (@p1581)) % 16.17/16.44 (step @p1004 :rule process_scope :premises (@p1582) :args (@t216)) % 16.17/16.44 (step @p1018 :rule implies_elim :premises (@p1004)) % 16.17/16.44 (step @p1019 :rule resolution :premises (@p853 @p1018) :args (true @t234)) % 16.17/16.44 (step @p1020 :rule chain_m_resolution :premises (@p762 @p757 @p1019 @p123 @p435 @p772 @p771 @p120 @p57 @p432 @p431 @p56 @p312 @p940 @p935 @p933 @p123 @p435 @p772 @p771 @p856 @p120 @p57 @p432 @p431 @p56 @p855 @p123 @p435 @p772 @p771 @p120 @p57 @p432 @p431 @p56 @p770 @p765 @p414 @p409) :args ((or @t173 @t171 @t222 @t220) (@list 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 false false false false true true true true) (@list @t219 @t216 @t126 @t189 @t228 @t226 @t134 @t92 @t181 @t179 @t90 @t170 @t86 @t243 @t239 @t126 @t189 @t228 @t226 @t238 @t134 @t92 @t181 @t179 @t90 @t233 @t126 @t189 @t228 @t226 @t134 @t92 @t181 @t179 @t90 @t115 @t223 @t146 @t174))) % 16.17/16.44 (step @p1021 :rule eq-symm :args (@t33 tptp.sk_c7)) % 16.17/16.44 (step @p1022 :rule nary_cong :premises (@p1021 @p25) :args (@t35)) % 16.17/16.44 (step @p1023 :rule eq_resolve :premises (@p14 @p1022)) % 16.17/16.44 (step @p1024 :rule reordering :premises (@p1023) :args ((or @t74 @t221))) % 16.17/16.44 (step @p1025 :rule nary_cong :premises (@p1021 @p30) :args (@t36)) % 16.17/16.44 (step @p1026 :rule eq_resolve :premises (@p15 @p1025)) % 16.17/16.44 (step @p1027 :rule reordering :premises (@p1026) :args ((or @t75 @t221))) % 16.17/16.44 (step @p1028 :rule nary_cong :premises (@p1021 @p34) :args (@t37)) % 16.17/16.44 (step @p1029 :rule eq_resolve :premises (@p16 @p1028)) % 16.17/16.44 (step @p1030 :rule reordering :premises (@p1029) :args ((or @t76 @t221))) % 16.17/16.44 (step @p1031 :rule nary_cong :premises (@p1021 @p38) :args (@t38)) % 16.17/16.44 (step @p1032 :rule eq_resolve :premises (@p17 @p1031)) % 16.17/16.44 (step @p1033 :rule reordering :premises (@p1032) :args ((or @t77 @t221))) % 16.17/16.44 (step @p1034 :rule nary_cong :premises (@p1021 @p42) :args (@t39)) % 16.17/16.44 (step @p1035 :rule eq_resolve :premises (@p18 @p1034)) % 16.17/16.44 (step @p1036 :rule reordering :premises (@p1035) :args ((or @t78 @t221))) % 16.17/16.44 (step @p1037 :rule chain_m_resolution :premises (@p312 @p119 @p762 @p114 @p757 @p52 @p609 @p438 @p437 @p62 @p436 @p123 @p435 @p61 @p434 @p122 @p121 @p433 @p120 @p57 @p432 @p431 @p56 @p755 @p438 @p437 @p62 @p610 @p436 @p123 @p435 @p61 @p434 @p122 @p121 @p120 @p57 @p432 @p431 @p56 @p47 @p1036 @p1033 @p1030 @p1027 @p1024 @p1020 @p763 @p414 @p409) :args (@t174 (@list true true true true 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 false false false false false false false false false true false false false false false true false true true) (@list @t115 @t170 @t110 @t219 @t86 @t100 @t196 @t193 @t97 @t191 @t126 @t189 @t94 @t185 @t129 @t132 @t183 @t134 @t92 @t181 @t179 @t90 @t216 @t196 @t193 @t97 @t215 @t191 @t126 @t189 @t94 @t185 @t129 @t132 @t134 @t92 @t181 @t179 @t90 @t81 @t78 @t77 @t76 @t75 @t74 @t221 @t176 @t146 @t174))) % 16.17/16.44 (step @p1038 :rule chain_m_resolution :premises (@p1037 @p407) :args (@t173 (@list false) (@list @t73))) % 16.17/16.44 (step @p1039 :rule eq-symm :args (@t11 tptp.sk_c6)) % 16.17/16.44 (step @p1040 :rule nary_cong :premises (@p1039 @p30) :args (@t16)) % 16.17/16.44 (step @p1041 :rule eq_resolve :premises (@p5 @p1040)) % 16.17/16.44 (step @p1042 :rule chain_m_resolution :premises (@p1041 @p1038) :args (@t75 @t244 @t245)) % 16.17/16.44 (step @p1043 :rule nary_cong :premises (@p1039 @p25) :args (@t13)) % 16.17/16.44 (step @p1044 :rule eq_resolve :premises (@p4 @p1043)) % 16.17/16.44 (step @p1045 :rule chain_m_resolution :premises (@p1044 @p1038) :args (@t74 @t244 @t245)) % 16.17/16.44 (step @p1046 :rule chain_m_resolution :premises (@p47 @p1045 @p1042) :args (@t82 @t246 (@list @t74 @t75))) % 16.17/16.44 (step @p1047 :rule chain_m_resolution :premises (@p52 @p1046) :args ((not @t86) @t244 (@list @t81))) % 16.17/16.44 (step @p1048 :rule nary_cong :premises (@p1039 @p42) :args (@t25)) % 16.17/16.44 (step @p1049 :rule eq_resolve :premises (@p8 @p1048)) % 16.17/16.44 (step @p1050 :rule chain_m_resolution :premises (@p1049 @p1038) :args (@t78 @t244 @t245)) % 16.17/16.44 (step @p1051 :rule nary_cong :premises (@p1039 @p38) :args (@t22)) % 16.17/16.44 (step @p1052 :rule eq_resolve :premises (@p7 @p1051)) % 16.17/16.44 (step @p1053 :rule chain_m_resolution :premises (@p1052 @p1038) :args (@t77 @t244 @t245)) % 16.17/16.44 (step @p1054 :rule nary_cong :premises (@p1039 @p34) :args (@t19)) % 16.17/16.44 (step @p1055 :rule eq_resolve :premises (@p6 @p1054)) % 16.17/16.44 (step @p1056 :rule chain_m_resolution :premises (@p1055 @p1038) :args (@t76 @t244 @t245)) % 16.17/16.44 (step @p1057 :rule chain_m_resolution :premises (@p112 @p1045 @p1056 @p1053 @p1050 @p56 @p57 @p61 @p62) :args (@t100 (@list false false false false false false false false) (@list @t74 @t76 @t77 @t78 @t90 @t92 @t94 @t97))) % 16.17/16.44 (step @p1058 :rule chain_m_resolution :premises (@p114 @p1042 @p1057) :args (@t111 @t246 (@list @t75 @t100))) % 16.17/16.44 (step @p1059 :rule chain_m_resolution :premises (@p119 @p1058) :args ((not @t115) @t244 (@list @t110))) % 16.17/16.44 (step @p1060 :rule chain_m_resolution :premises (@p254 @p1045 @p1042 @p1056 @p1053 @p1050 @p56 @p57 @p120 @p121 @p122 @p61 @p123 @p62 @p124) :args (@t118 @t247 @t248)) % 16.17/16.44 (step @p1061 :rule chain_m_resolution :premises (@p256 @p1045 @p1060) :args (@t142 @t246 (@list @t74 @t118))) % 16.17/16.44 (step @p1062 :rule chain_m_resolution :premises (@p261 @p1061) :args ((not @t146) @t244 (@list @t141))) % 16.17/16.44 (step @p1063 :rule chain_m_resolution :premises (@p399 @p1045 @p1042 @p1056 @p1053 @p1050 @p56 @p57 @p120 @p121 @p122 @p61 @p123 @p62 @p124) :args (@t165 @t247 @t248)) % 16.17/16.44 (step @p1064 :rule chain_m_resolution :premises (@p401 @p1045 @p1063) :args (@t169 @t246 (@list @t74 @t165))) % 16.17/16.44 (step @p1065 :rule chain_m_resolution :premises (@p406 @p1064) :args ((not @t170) @t244 (@list @t168))) % 16.17/16.44 (step @p1066 false :rule chain_m_resolution :premises (@p312 @p1065 @p1062 @p1059 @p1047) :args (false (@list true true true true) (@list @t170 @t146 @t115 @t86))) % 16.17/16.44 ) % 16.17/16.44 % SZS output end Proof % 16.17/16.44 % cvc5 exiting %------------------------------------------------------------------------------