%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP315-1 : 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 : n017.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 08:20:28 AM UTC 2026 % Result : Unsatisfiable 16.05s 16.44s % Output : Proof 16.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP315-1 : TPTP v9.2.1. Released v2.5.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 01:00:16 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/16.22 --- Run --no-e-matching --full-saturate-quant at 6... % 16.05/16.44 % SZS status Unsatisfiable % 16.05/16.44 % SZS output start Proof % 16.05/16.46 ( % 16.05/16.46 (declare-sort $$unsorted 0) % 16.05/16.46 (declare-const tptp.sk_c1 $$unsorted) % 16.05/16.46 (declare-const tptp.sk_c3 $$unsorted) % 16.05/16.46 (declare-const tptp.sk_c6 $$unsorted) % 16.05/16.46 (declare-const tptp.sk_c7 $$unsorted) % 16.05/16.46 (declare-const tptp.sk_c2 $$unsorted) % 16.05/16.46 (declare-const tptp.sk_c4 $$unsorted) % 16.05/16.46 (declare-const tptp.sk_c5 $$unsorted) % 16.05/16.46 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.05/16.46 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.05/16.46 (declare-const tptp.identity $$unsorted) % 16.05/16.46 (define @t1 () (@var "X" $$unsorted)) % 16.05/16.46 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.05/16.46 (define @t3 () (@list @t1)) % 16.05/16.46 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.05/16.46 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 16.05/16.46 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 16.05/16.46 (define @t7 () (@var "Z" $$unsorted)) % 16.05/16.46 (define @t8 () (@var "Y" $$unsorted)) % 16.05/16.46 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 16.05/16.46 (define @t10 () (tptp.multiply tptp.sk_c6 tptp.sk_c7)) % 16.05/16.46 (define @t11 () (= @t10 tptp.sk_c5)) % 16.05/16.46 (define @t12 () (tptp.inverse tptp.sk_c3)) % 16.05/16.46 (define @t13 () (= @t12 tptp.sk_c7)) % 16.05/16.46 (define @t14 () (tptp.multiply tptp.sk_c1 tptp.sk_c7)) % 16.05/16.46 (define @t15 () (= @t14 tptp.sk_c6)) % 16.05/16.46 (define @t16 () (or @t15 @t13)) % 16.05/16.46 (define @t17 () (tptp.multiply tptp.sk_c3 tptp.sk_c6)) % 16.05/16.46 (define @t18 () (= @t17 tptp.sk_c7)) % 16.05/16.46 (define @t19 () (or @t15 @t18)) % 16.05/16.46 (define @t20 () (tptp.inverse tptp.sk_c4)) % 16.05/16.46 (define @t21 () (= @t20 tptp.sk_c6)) % 16.05/16.46 (define @t22 () (or @t15 @t21)) % 16.05/16.46 (define @t23 () (tptp.multiply tptp.sk_c4 tptp.sk_c5)) % 16.05/16.46 (define @t24 () (= @t23 tptp.sk_c6)) % 16.05/16.46 (define @t25 () (or @t15 @t24)) % 16.05/16.46 (define @t26 () (tptp.inverse tptp.sk_c1)) % 16.05/16.46 (define @t27 () (= @t26 tptp.sk_c7)) % 16.05/16.46 (define @t28 () (or @t27 @t13)) % 16.05/16.46 (define @t29 () (or @t27 @t18)) % 16.05/16.46 (define @t30 () (or @t27 @t21)) % 16.05/16.46 (define @t31 () (or @t27 @t24)) % 16.05/16.46 (define @t32 () (tptp.multiply tptp.sk_c2 tptp.sk_c6)) % 16.05/16.46 (define @t33 () (= @t32 tptp.sk_c5)) % 16.05/16.46 (define @t34 () (or @t33 @t13)) % 16.05/16.46 (define @t35 () (or @t33 @t18)) % 16.05/16.46 (define @t36 () (or @t33 @t21)) % 16.05/16.46 (define @t37 () (or @t33 @t24)) % 16.05/16.46 (define @t38 () (tptp.inverse tptp.sk_c2)) % 16.05/16.46 (define @t39 () (= @t38 tptp.sk_c6)) % 16.05/16.46 (define @t40 () (or @t39 @t13)) % 16.05/16.46 (define @t41 () (or @t39 @t18)) % 16.05/16.46 (define @t42 () (or @t39 @t21)) % 16.05/16.46 (define @t43 () (or @t39 @t24)) % 16.05/16.46 (define @t44 () (@var "X2" $$unsorted)) % 16.05/16.46 (define @t45 () (tptp.multiply @t44 tptp.sk_c5)) % 16.05/16.46 (define @t46 () (not (= @t45 tptp.sk_c6))) % 16.05/16.46 (define @t47 () (tptp.inverse @t44)) % 16.05/16.46 (define @t48 () (not (= @t47 tptp.sk_c6))) % 16.05/16.46 (define @t49 () (@var "X1" $$unsorted)) % 16.05/16.46 (define @t50 () (tptp.multiply @t49 tptp.sk_c6)) % 16.05/16.46 (define @t51 () (not (= @t50 tptp.sk_c7))) % 16.05/16.46 (define @t52 () (tptp.inverse @t49)) % 16.05/16.46 (define @t53 () (not (= @t52 tptp.sk_c7))) % 16.05/16.46 (define @t54 () (@var "X4" $$unsorted)) % 16.05/16.46 (define @t55 () (tptp.inverse @t54)) % 16.05/16.46 (define @t56 () (not (= @t55 tptp.sk_c6))) % 16.05/16.46 (define @t57 () (tptp.multiply @t54 tptp.sk_c6)) % 16.05/16.46 (define @t58 () (not (= @t57 tptp.sk_c5))) % 16.05/16.46 (define @t59 () (@var "X3" $$unsorted)) % 16.05/16.46 (define @t60 () (tptp.inverse @t59)) % 16.05/16.46 (define @t61 () (not (= @t60 tptp.sk_c7))) % 16.05/16.46 (define @t62 () (tptp.multiply @t59 tptp.sk_c7)) % 16.05/16.46 (define @t63 () (not (= @t62 tptp.sk_c6))) % 16.05/16.46 (define @t64 () (not @t11)) % 16.05/16.46 (define @t65 () (or @t64 @t63 @t61 @t58 @t56 @t53 @t51 @t48 @t46)) % 16.05/16.46 (define @t66 () (@list @t59 @t54 @t49 @t44)) % 16.05/16.46 (define @t67 () (forall @t66 @t65)) % 16.05/16.46 (define @t68 () (= tptp.sk_c7 @t26)) % 16.05/16.46 (define @t69 () (= tptp.sk_c7 @t12)) % 16.05/16.46 (define @t70 () (= tptp.sk_c7 @t17)) % 16.05/16.46 (define @t71 () (= tptp.sk_c6 @t20)) % 16.05/16.46 (define @t72 () (= tptp.sk_c6 @t23)) % 16.05/16.46 (define @t73 () (not @t70)) % 16.05/16.46 (define @t74 () (not @t69)) % 16.05/16.46 (define @t75 () (or @t74 @t73)) % 16.05/16.46 (define @t76 () (not @t75)) % 16.05/16.46 (define @t77 () (not (= tptp.sk_c7 @t50))) % 16.05/16.46 (define @t78 () (not (= tptp.sk_c7 @t52))) % 16.05/16.46 (define @t79 () (or @t78 @t77)) % 16.05/16.46 (define @t80 () (forall (@list @t49) @t79)) % 16.05/16.46 (define @t81 () (@list tptp.sk_c3)) % 16.05/16.46 (define @t82 () (@list @t10)) % 16.05/16.46 (define @t83 () (@list tptp.sk_c4)) % 16.05/16.46 (define @t84 () (tptp.multiply tptp.sk_c4 @t10)) % 16.05/16.46 (define @t85 () (= tptp.sk_c6 @t84)) % 16.05/16.46 (define @t86 () (tptp.multiply tptp.identity tptp.identity)) % 16.05/16.46 (define @t87 () (= tptp.identity @t86)) % 16.05/16.46 (define @t88 () (tptp.multiply tptp.identity @t10)) % 16.05/16.46 (define @t89 () (= @t10 @t88)) % 16.05/16.46 (define @t90 () (tptp.multiply @t20 tptp.sk_c4)) % 16.05/16.46 (define @t91 () (= tptp.identity @t90)) % 16.05/16.46 (define @t92 () (tptp.multiply @t20 @t84)) % 16.05/16.46 (define @t93 () (tptp.multiply @t90 @t10)) % 16.05/16.46 (define @t94 () (= @t93 @t92)) % 16.05/16.46 (define @t95 () (tptp.multiply tptp.identity @t88)) % 16.05/16.46 (define @t96 () (tptp.multiply @t86 @t10)) % 16.05/16.46 (define @t97 () (tptp.multiply tptp.sk_c6 tptp.sk_c6)) % 16.05/16.46 (define @t98 () (= @t10 @t97)) % 16.05/16.46 (define @t99 () (and @t71 @t85 @t87 @t89 @t91 @t94)) % 16.05/16.46 (define @t100 () (@list tptp.sk_c6)) % 16.05/16.46 (define @t101 () (@list tptp.sk_c7)) % 16.05/16.46 (define @t102 () (tptp.inverse tptp.sk_c7)) % 16.05/16.46 (define @t103 () (tptp.multiply @t97 tptp.sk_c7)) % 16.05/16.46 (define @t104 () (tptp.multiply tptp.sk_c6 @t10)) % 16.05/16.46 (define @t105 () (= @t103 @t104)) % 16.05/16.46 (define @t106 () (@list tptp.sk_c6 tptp.sk_c6 tptp.sk_c7)) % 16.05/16.46 (define @t107 () (= @t104 @t103)) % 16.05/16.46 (define @t108 () (@list false)) % 16.05/16.46 (define @t109 () (tptp.inverse @t10)) % 16.05/16.46 (define @t110 () (tptp.multiply tptp.identity tptp.sk_c6)) % 16.05/16.46 (define @t111 () (= tptp.sk_c6 @t110)) % 16.05/16.46 (define @t112 () (tptp.multiply tptp.identity tptp.sk_c7)) % 16.05/16.46 (define @t113 () (= tptp.sk_c7 @t112)) % 16.05/16.46 (define @t114 () (tptp.multiply @t102 tptp.sk_c7)) % 16.05/16.46 (define @t115 () (= tptp.identity @t114)) % 16.05/16.46 (define @t116 () (tptp.multiply @t109 @t10)) % 16.05/16.46 (define @t117 () (= tptp.identity @t116)) % 16.05/16.46 (define @t118 () (tptp.multiply tptp.identity tptp.sk_c3)) % 16.05/16.46 (define @t119 () (= tptp.sk_c3 @t118)) % 16.05/16.46 (define @t120 () (tptp.multiply @t12 tptp.sk_c3)) % 16.05/16.46 (define @t121 () (= tptp.identity @t120)) % 16.05/16.46 (define @t122 () (tptp.multiply tptp.sk_c6 @t110)) % 16.05/16.46 (define @t123 () (tptp.multiply tptp.sk_c6 tptp.identity)) % 16.05/16.46 (define @t124 () (tptp.multiply @t123 tptp.sk_c6)) % 16.05/16.46 (define @t125 () (= @t124 @t122)) % 16.05/16.46 (define @t126 () (tptp.multiply tptp.sk_c6 @t97)) % 16.05/16.46 (define @t127 () (tptp.multiply @t97 tptp.sk_c6)) % 16.05/16.46 (define @t128 () (= @t127 @t126)) % 16.05/16.46 (define @t129 () (tptp.multiply @t102 @t112)) % 16.05/16.46 (define @t130 () (tptp.multiply @t102 tptp.identity)) % 16.05/16.46 (define @t131 () (tptp.multiply @t130 tptp.sk_c7)) % 16.05/16.46 (define @t132 () (= @t131 @t129)) % 16.05/16.46 (define @t133 () (tptp.multiply tptp.sk_c7 tptp.sk_c3)) % 16.05/16.46 (define @t134 () (tptp.multiply @t114 tptp.sk_c3)) % 16.05/16.46 (define @t135 () (= @t134 (tptp.multiply @t102 @t133))) % 16.05/16.46 (define @t136 () (tptp.multiply tptp.sk_c6 @t133)) % 16.05/16.46 (define @t137 () (tptp.multiply @t10 tptp.sk_c3)) % 16.05/16.46 (define @t138 () (= @t137 @t136)) % 16.05/16.46 (define @t139 () (tptp.multiply @t10 @t17)) % 16.05/16.46 (define @t140 () (tptp.multiply @t137 tptp.sk_c6)) % 16.05/16.46 (define @t141 () (= @t140 @t139)) % 16.05/16.46 (define @t142 () (tptp.multiply @t10 tptp.sk_c6)) % 16.05/16.46 (define @t143 () (tptp.multiply @t109 @t142)) % 16.05/16.46 (define @t144 () (tptp.multiply @t116 tptp.sk_c6)) % 16.05/16.46 (define @t145 () (= @t144 @t143)) % 16.05/16.46 (define @t146 () (tptp.multiply @t86 tptp.sk_c3)) % 16.05/16.46 (define @t147 () (tptp.multiply tptp.identity @t118)) % 16.05/16.46 (define @t148 () (tptp.multiply tptp.identity @t110)) % 16.05/16.46 (define @t149 () (tptp.multiply @t86 tptp.sk_c6)) % 16.05/16.46 (define @t150 () (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) % 16.05/16.46 (define @t151 () (and @t69 @t70 @t71 @t85 @t87 @t111 @t113 @t115 @t89 @t117 @t119 @t121 @t91 @t125 @t128 @t132 @t94 @t135 @t107 @t138 @t141 @t145)) % 16.05/16.46 (define @t152 () (not @t145)) % 16.05/16.46 (define @t153 () (not @t141)) % 16.05/16.46 (define @t154 () (not @t138)) % 16.05/16.46 (define @t155 () (not @t107)) % 16.05/16.46 (define @t156 () (not @t94)) % 16.05/16.46 (define @t157 () (not @t132)) % 16.05/16.46 (define @t158 () (not @t128)) % 16.05/16.46 (define @t159 () (not @t125)) % 16.05/16.46 (define @t160 () (not @t91)) % 16.05/16.46 (define @t161 () (not @t121)) % 16.05/16.46 (define @t162 () (not @t117)) % 16.05/16.46 (define @t163 () (not @t89)) % 16.05/16.46 (define @t164 () (not @t115)) % 16.05/16.46 (define @t165 () (not @t113)) % 16.05/16.46 (define @t166 () (not @t111)) % 16.05/16.46 (define @t167 () (not @t87)) % 16.05/16.46 (define @t168 () (not @t85)) % 16.05/16.46 (define @t169 () (not @t71)) % 16.05/16.46 (define @t170 () (tptp.multiply tptp.identity tptp.sk_c4)) % 16.05/16.46 (define @t171 () (= tptp.sk_c4 @t170)) % 16.05/16.46 (define @t172 () (tptp.inverse tptp.identity)) % 16.05/16.46 (define @t173 () (tptp.multiply tptp.identity @t170)) % 16.05/16.46 (define @t174 () (tptp.multiply @t86 tptp.sk_c4)) % 16.05/16.46 (define @t175 () (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) % 16.05/16.46 (define @t176 () (and @t69 @t70 @t71 @t85 @t87 @t111 @t89 @t117 @t121 @t171 @t91 @t125 @t128 @t94 @t107 @t138 @t141 @t145)) % 16.05/16.46 (define @t177 () (not @t171)) % 16.05/16.46 (define @t178 () (not @t150)) % 16.05/16.46 (define @t179 () (or @t178 @t74)) % 16.05/16.46 (define @t180 () (not @t179)) % 16.05/16.46 (define @t181 () (not @t175)) % 16.05/16.46 (define @t182 () (not @t98)) % 16.05/16.46 (define @t183 () (or @t182 @t181)) % 16.05/16.46 (define @t184 () (not @t183)) % 16.05/16.46 (define @t185 () (not (= tptp.sk_c7 @t60))) % 16.05/16.46 (define @t186 () (not (= tptp.sk_c6 @t62))) % 16.05/16.46 (define @t187 () (or @t186 @t185)) % 16.05/16.46 (define @t188 () (forall (@list @t59) @t187)) % 16.05/16.46 (define @t189 () (not (= tptp.sk_c6 @t55))) % 16.05/16.46 (define @t190 () (@list @t54)) % 16.05/16.46 (define @t191 () (forall @t190 (or (not (= @t10 @t57)) @t189))) % 16.05/16.46 (define @t192 () (not (= tptp.sk_c6 @t47))) % 16.05/16.46 (define @t193 () (@list @t44)) % 16.05/16.46 (define @t194 () (forall @t193 (or @t192 (not (= tptp.sk_c6 (tptp.multiply @t44 @t10)))))) % 16.05/16.46 (define @t195 () (not (= @t10 @t10))) % 16.05/16.46 (define @t196 () (= tptp.sk_c6 @t45)) % 16.05/16.46 (define @t197 () (not @t196)) % 16.05/16.46 (define @t198 () (or @t192 @t197)) % 16.05/16.46 (define @t199 () (forall @t193 @t198)) % 16.05/16.46 (define @t200 () (= tptp.sk_c5 @t57)) % 16.05/16.46 (define @t201 () (not @t200)) % 16.05/16.46 (define @t202 () (or @t201 @t189)) % 16.05/16.46 (define @t203 () (forall @t190 @t202)) % 16.05/16.46 (define @t204 () (= tptp.sk_c5 @t10)) % 16.05/16.46 (define @t205 () (not @t204)) % 16.05/16.46 (define @t206 () (or @t205 @t188 @t203 @t80 @t199)) % 16.05/16.46 (define @t207 () (or @t205 @t187 @t202 @t79 @t198)) % 16.05/16.46 (define @t208 () (or @t205 @t186 @t185 @t201 @t189 @t78 @t77 @t192 @t197)) % 16.05/16.46 (define @t209 () (tptp.multiply @t86 tptp.sk_c7)) % 16.05/16.46 (define @t210 () (tptp.multiply tptp.identity @t112)) % 16.05/16.46 (define @t211 () (= tptp.sk_c6 @t12)) % 16.05/16.46 (define @t212 () (and @t69 @t70 @t71 @t85 @t87 @t111 @t113 @t89 @t117 @t121 @t91 @t125 @t128 @t94 @t107 @t138 @t141 @t145)) % 16.05/16.46 (define @t213 () (tptp.multiply @t102 @t110)) % 16.05/16.46 (define @t214 () (= (tptp.multiply @t130 tptp.sk_c6) @t213)) % 16.05/16.46 (define @t215 () (tptp.inverse @t12)) % 16.05/16.46 (define @t216 () (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 @t10))) % 16.05/16.46 (define @t217 () (and @t69 @t70 @t71 @t85 @t87 @t111 @t113 @t115 @t89 @t117 @t119 @t121 @t91 @t125 @t128 @t94 @t135 @t214 @t107 @t138 @t141 @t145)) % 16.05/16.46 (define @t218 () (not @t216)) % 16.05/16.46 (define @t219 () (not @t211)) % 16.05/16.46 (define @t220 () (or @t219 @t218)) % 16.05/16.46 (define @t221 () (not @t220)) % 16.05/16.46 (define @t222 () (not @t68)) % 16.05/16.46 (define @t223 () (= tptp.sk_c6 @t14)) % 16.05/16.46 (define @t224 () (not @t223)) % 16.05/16.46 (define @t225 () (or @t224 @t222)) % 16.05/16.46 (define @t226 () (@list tptp.sk_c1)) % 16.05/16.46 (define @t227 () (= tptp.sk_c6 @t38)) % 16.05/16.46 (define @t228 () (tptp.multiply tptp.identity tptp.sk_c1)) % 16.05/16.46 (define @t229 () (= tptp.sk_c1 @t228)) % 16.05/16.46 (define @t230 () (tptp.multiply @t26 tptp.sk_c1)) % 16.05/16.46 (define @t231 () (= tptp.identity @t230)) % 16.05/16.46 (define @t232 () (tptp.multiply tptp.sk_c7 tptp.sk_c1)) % 16.05/16.46 (define @t233 () (tptp.multiply @t102 @t232)) % 16.05/16.46 (define @t234 () (tptp.multiply @t114 tptp.sk_c1)) % 16.05/16.46 (define @t235 () (= @t234 @t233)) % 16.05/16.46 (define @t236 () (tptp.multiply @t86 tptp.sk_c1)) % 16.05/16.46 (define @t237 () (tptp.multiply tptp.identity @t228)) % 16.05/16.46 (define @t238 () (tptp.multiply tptp.sk_c1 @t10)) % 16.05/16.46 (define @t239 () (= tptp.sk_c6 @t238)) % 16.05/16.46 (define @t240 () (and @t223 @t68 @t87 @t113 @t115 @t229 @t231 @t235 @t132)) % 16.05/16.46 (define @t241 () (= tptp.sk_c6 @t26)) % 16.05/16.46 (define @t242 () (and @t223 @t71 @t68 @t85 @t87 @t113 @t115 @t229 @t231 @t171 @t91 @t235 @t132)) % 16.05/16.46 (define @t243 () (not @t235)) % 16.05/16.46 (define @t244 () (not @t231)) % 16.05/16.46 (define @t245 () (not @t229)) % 16.05/16.46 (define @t246 () (not @t239)) % 16.05/16.46 (define @t247 () (not @t241)) % 16.05/16.46 (define @t248 () (or @t247 @t246)) % 16.05/16.46 (define @t249 () (= @t10 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) % 16.05/16.46 (define @t250 () (not @t249)) % 16.05/16.46 (define @t251 () (or @t250 @t247)) % 16.05/16.46 (define @t252 () (not @t227)) % 16.05/16.46 (define @t253 () (= @t10 @t32)) % 16.05/16.46 (define @t254 () (not @t253)) % 16.05/16.46 (define @t255 () (or @t254 @t252)) % 16.05/16.46 (define @t256 () (@list tptp.sk_c2)) % 16.05/16.46 (define @t257 () (tptp.multiply tptp.identity tptp.sk_c2)) % 16.05/16.46 (define @t258 () (= tptp.sk_c2 @t257)) % 16.05/16.46 (define @t259 () (tptp.multiply @t38 tptp.sk_c2)) % 16.05/16.46 (define @t260 () (= tptp.identity @t259)) % 16.05/16.46 (define @t261 () (tptp.multiply tptp.sk_c6 @t86)) % 16.05/16.46 (define @t262 () (= (tptp.multiply @t123 tptp.identity) @t261)) % 16.05/16.46 (define @t263 () (tptp.multiply tptp.identity @t257)) % 16.05/16.46 (define @t264 () (tptp.multiply @t86 tptp.sk_c2)) % 16.05/16.46 (define @t265 () (= tptp.sk_c7 (tptp.inverse @t123))) % 16.05/16.46 (define @t266 () (and @t223 @t68 @t227 @t253 @t87 @t111 @t113 @t115 @t229 @t231 @t258 @t260 @t262 @t125 @t235 @t132)) % 16.05/16.46 (define @t267 () (not @t260)) % 16.05/16.46 (define @t268 () (not @t258)) % 16.05/16.46 (define @t269 () (= tptp.sk_c7 @t124)) % 16.05/16.46 (define @t270 () (and @t223 @t68 @t227 @t253 @t87 @t111 @t113 @t115 @t229 @t231 @t258 @t260 @t125 @t235 @t132)) % 16.05/16.46 (define @t271 () (not @t269)) % 16.05/16.46 (define @t272 () (not @t265)) % 16.05/16.46 (define @t273 () (or @t272 @t271)) % 16.05/16.46 (define @t274 () (and @t223 @t68 @t227 @t253 @t87 @t113 @t115 @t229 @t231 @t258 @t260 @t235 @t132)) % 16.05/16.46 (define @t275 () (and @t223 @t68 @t227 @t253 @t87 @t113 @t115 @t117 @t229 @t231 @t258 @t260 @t235 @t132)) % 16.05/16.46 (define @t276 () (= tptp.sk_c5 @t32)) % 16.05/16.46 (define @t277 () (@list true)) % 16.05/16.46 (define @t278 () (@list @t223)) % 16.05/16.46 (define @t279 () (@list false false)) % 16.05/16.46 (define @t280 () (@list false false false false false false false false false false false false false false false false false false)) % 16.05/16.46 (define @t281 () (@list false false false false false false false false false false false false false false false false false false false false false false)) % 16.05/16.46 (assume @p1 @t4) % 16.05/16.46 (assume @p2 @t6) % 16.05/16.46 (assume @p3 @t9) % 16.05/16.46 (assume @p4 @t11) % 16.05/16.46 (assume @p5 @t16) % 16.05/16.46 (assume @p6 @t19) % 16.05/16.46 (assume @p7 @t22) % 16.05/16.46 (assume @p8 @t25) % 16.05/16.46 (assume @p9 @t28) % 16.05/16.46 (assume @p10 @t29) % 16.05/16.46 (assume @p11 @t30) % 16.05/16.46 (assume @p12 @t31) % 16.05/16.46 (assume @p13 @t34) % 16.05/16.46 (assume @p14 @t35) % 16.05/16.46 (assume @p15 @t36) % 16.05/16.46 (assume @p16 @t37) % 16.05/16.46 (assume @p17 @t40) % 16.05/16.46 (assume @p18 @t41) % 16.05/16.46 (assume @p19 @t42) % 16.05/16.46 (assume @p20 @t43) % 16.05/16.46 (assume @p21 @t67) % 16.05/16.46 (step @p22 :rule eq-symm :args (@t12 tptp.sk_c7)) % 16.05/16.46 (step @p23 :rule eq-symm :args (@t26 tptp.sk_c7)) % 16.05/16.46 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t28)) % 16.05/16.46 (step @p25 :rule eq_resolve :premises (@p9 @p24)) % 16.05/16.46 (step @p26 :rule reordering :premises (@p25) :args ((or @t69 @t68))) % 16.05/16.46 (step @p27 :rule eq-symm :args (@t17 tptp.sk_c7)) % 16.05/16.46 (step @p28 :rule nary_cong :premises (@p23 @p27) :args (@t29)) % 16.05/16.46 (step @p29 :rule eq_resolve :premises (@p10 @p28)) % 16.05/16.46 (step @p30 :rule reordering :premises (@p29) :args ((or @t70 @t68))) % 16.05/16.46 (step @p31 :rule eq-symm :args (@t20 tptp.sk_c6)) % 16.05/16.46 (step @p32 :rule nary_cong :premises (@p23 @p31) :args (@t30)) % 16.05/16.46 (step @p33 :rule eq_resolve :premises (@p11 @p32)) % 16.05/16.46 (step @p34 :rule reordering :premises (@p33) :args ((or @t71 @t68))) % 16.05/16.46 (step @p35 :rule symm :premises (@p4)) % 16.05/16.46 (step @p36 :rule refl :args (tptp.sk_c4)) % 16.05/16.46 (step @p37 :rule cong :premises (@p36 @p35) :args (@t23)) % 16.05/16.46 (step @p38 :rule refl :args (tptp.sk_c6)) % 16.05/16.46 (step @p39 :rule cong :premises (@p38 @p37) :args (@t72)) % 16.05/16.46 (step @p40 :rule refl :args (@t68)) % 16.05/16.46 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t68 @t72))) % 16.05/16.46 (step @p42 :rule eq-symm :args (@t23 tptp.sk_c6)) % 16.05/16.46 (step @p43 :rule nary_cong :premises (@p23 @p42) :args (@t31)) % 16.05/16.46 (step @p44 :rule trans :premises (@p43 @p41)) % 16.05/16.46 (step @p45 :rule eq_resolve :premises (@p12 @p44)) % 16.05/16.46 (step @p46 :rule cnf_or_pos :args (@t75)) % 16.05/16.46 (step @p47 :rule reordering :premises (@p46) :args ((or @t74 @t73 @t76))) % 16.05/16.46 (assume-push @p1388 @t80) % 16.05/16.46 (step @p49 :rule instantiate :premises (@p1388) :args (@t81)) % 16.05/16.46 (step-pop @p1389 :rule scope :premises (@p49)) % 16.05/16.46 (step @p50 :rule process_scope :premises (@p1389) :args (@t75)) % 16.05/16.46 (step @p52 :rule implies_elim :premises (@p50)) % 16.05/16.46 (step @p53 :rule eq-symm :args (@t2 @t1)) % 16.05/16.46 (step @p54 :rule cong :premises (@p53) :args (@t4)) % 16.05/16.46 (step @p55 :rule eq_resolve :premises (@p1 @p54)) % 16.05/16.46 (step @p56 :rule instantiate :premises (@p55) :args ((@list tptp.identity))) % 16.05/16.46 (step @p57 :rule instantiate :premises (@p55) :args (@t82)) % 16.05/16.46 (step @p58 :rule eq-symm :args (@t5 tptp.identity)) % 16.05/16.46 (step @p59 :rule cong :premises (@p58) :args (@t6)) % 16.05/16.46 (step @p60 :rule eq_resolve :premises (@p2 @p59)) % 16.05/16.46 (step @p61 :rule instantiate :premises (@p60) :args (@t83)) % 16.05/16.46 (step @p62 :rule instantiate :premises (@p3) :args ((@list @t20 tptp.sk_c4 @t10))) % 16.05/16.46 (assume-push @p1390 @t71) % 16.05/16.46 (assume-push @p1391 @t85) % 16.05/16.46 (assume-push @p1392 @t87) % 16.05/16.46 (assume-push @p1393 @t89) % 16.05/16.46 (assume-push @p1394 @t91) % 16.05/16.46 (assume-push @p1395 @t94) % 16.05/16.46 (assume-push @p1396 @t71) % 16.05/16.46 (assume-push @p1397 @t85) % 16.05/16.46 (assume-push @p1398 @t94) % 16.05/16.46 (assume-push @p1399 @t91) % 16.05/16.46 (assume-push @p1400 @t89) % 16.05/16.46 (assume-push @p1401 @t87) % 16.05/16.46 (step @p75 :rule symm :premises (@p1391)) % 16.05/16.46 (step @p76 :rule symm :premises (@p1390)) % 16.05/16.46 (step @p77 :rule cong :premises (@p76 @p75) :args (@t92)) % 16.05/16.46 (step @p78 :rule symm :premises (@p57)) % 16.05/16.46 (step @p79 :rule cong :premises (@p61 @p78) :args (@t95)) % 16.05/16.46 (step @p80 :rule symm :premises (@p56)) % 16.05/16.46 (step @p81 :rule cong :premises (@p80 @p57) :args (@t96)) % 16.05/16.46 (step @p82 :rule refl :args (@t10)) % 16.05/16.46 (step @p83 :rule cong :premises (@p56 @p82) :args (@t88)) % 16.05/16.46 (step @p84 :rule trans :premises (@p57 @p83 @p81 @p79 @p62 @p77)) % 16.05/16.46 (step-pop @p1402 :rule scope :premises (@p84)) % 16.05/16.46 (step-pop @p1403 :rule scope :premises (@p1402)) % 16.05/16.46 (step-pop @p1404 :rule scope :premises (@p1403)) % 16.05/16.46 (step-pop @p1405 :rule scope :premises (@p1404)) % 16.05/16.46 (step-pop @p1406 :rule scope :premises (@p1405)) % 16.05/16.46 (step-pop @p1407 :rule scope :premises (@p1406)) % 16.05/16.46 (step @p85 :rule process_scope :premises (@p1407) :args (@t98)) % 16.05/16.46 (step @p92 :rule and_intro :premises (@p1390 @p1391 @p62 @p61 @p57 @p56)) % 16.05/16.46 (step @p93 :rule modus_ponens :premises (@p92 @p85)) % 16.05/16.46 (step-pop @p1408 :rule scope :premises (@p93)) % 16.05/16.46 (step-pop @p1409 :rule scope :premises (@p1408)) % 16.05/16.46 (step-pop @p1410 :rule scope :premises (@p1409)) % 16.05/16.46 (step-pop @p1411 :rule scope :premises (@p1410)) % 16.05/16.46 (step-pop @p1412 :rule scope :premises (@p1411)) % 16.05/16.46 (step-pop @p1413 :rule scope :premises (@p1412)) % 16.05/16.46 (step @p94 :rule process_scope :premises (@p1413) :args (@t98)) % 16.05/16.46 (step @p101 :rule implies_elim :premises (@p94)) % 16.05/16.46 (step @p102 :rule cnf_and_neg :args (@t99)) % 16.05/16.46 (step @p103 :rule resolution :premises (@p102 @p101) :args (true @t99)) % 16.05/16.46 (step @p104 :rule instantiate :premises (@p55) :args (@t100)) % 16.05/16.46 (step @p105 :rule instantiate :premises (@p55) :args (@t101)) % 16.05/16.46 (step @p106 :rule instantiate :premises (@p60) :args (@t101)) % 16.05/16.46 (step @p107 :rule instantiate :premises (@p60) :args (@t82)) % 16.05/16.46 (step @p108 :rule instantiate :premises (@p55) :args (@t81)) % 16.05/16.46 (step @p109 :rule instantiate :premises (@p60) :args (@t81)) % 16.05/16.46 (step @p110 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c6 tptp.identity tptp.sk_c6))) % 16.05/16.46 (step @p111 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c6 tptp.sk_c6 tptp.sk_c6))) % 16.05/16.46 (step @p112 :rule instantiate :premises (@p3) :args ((@list @t102 tptp.identity tptp.sk_c7))) % 16.05/16.46 (step @p113 :rule instantiate :premises (@p3) :args ((@list @t102 tptp.sk_c7 tptp.sk_c3))) % 16.05/16.46 (step @p114 :rule eq-symm :args (@t103 @t104)) % 16.05/16.46 (step @p115 :rule refl :args (@t9)) % 16.05/16.46 (step @p116 :rule cong :premises (@p115 @p114) :args ((=> @t9 @t105))) % 16.05/16.46 (assume-push @p1414 @t9) % 16.05/16.46 (step @p118 :rule instantiate :premises (@p3) :args (@t106)) % 16.05/16.46 (step-pop @p1415 :rule scope :premises (@p118)) % 16.05/16.46 (step @p119 :rule process_scope :premises (@p1415) :args (@t105)) % 16.05/16.46 (step @p121 :rule eq_resolve :premises (@p119 @p116)) % 16.05/16.46 (step @p122 :rule implies_elim :premises (@p121)) % 16.05/16.46 (step @p123 :rule chain_m_resolution :premises (@p122 @p3) :args (@t107 @t108 (@list @t9))) % 16.05/16.46 (step @p124 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c6 tptp.sk_c7 tptp.sk_c3))) % 16.05/16.46 (step @p125 :rule instantiate :premises (@p3) :args ((@list @t10 tptp.sk_c3 tptp.sk_c6))) % 16.05/16.46 (step @p126 :rule instantiate :premises (@p3) :args ((@list @t109 @t10 tptp.sk_c6))) % 16.05/16.46 (assume-push @p1416 @t69) % 16.05/16.46 (assume-push @p1417 @t70) % 16.05/16.46 (assume-push @p1418 @t71) % 16.05/16.46 (assume-push @p1419 @t85) % 16.05/16.46 (assume-push @p1420 @t87) % 16.05/16.46 (assume-push @p1421 @t111) % 16.05/16.46 (assume-push @p1422 @t113) % 16.05/16.46 (assume-push @p1423 @t115) % 16.05/16.46 (assume-push @p1424 @t89) % 16.05/16.46 (assume-push @p1425 @t117) % 16.05/16.46 (assume-push @p1426 @t119) % 16.05/16.46 (assume-push @p1427 @t121) % 16.05/16.46 (assume-push @p1428 @t91) % 16.05/16.46 (assume-push @p1429 @t125) % 16.05/16.46 (assume-push @p1430 @t128) % 16.05/16.46 (assume-push @p1431 @t132) % 16.05/16.46 (assume-push @p1432 @t94) % 16.05/16.46 (assume-push @p1433 @t135) % 16.05/16.46 (assume-push @p1434 @t107) % 16.05/16.46 (assume-push @p1435 @t138) % 16.05/16.46 (assume-push @p1436 @t141) % 16.05/16.46 (assume-push @p1437 @t145) % 16.05/16.46 (assume-push @p1438 @t119) % 16.05/16.46 (assume-push @p1439 @t87) % 16.05/16.46 (assume-push @p1440 @t115) % 16.05/16.46 (assume-push @p1441 @t135) % 16.05/16.46 (assume-push @p1442 @t69) % 16.05/16.46 (assume-push @p1443 @t121) % 16.05/16.46 (assume-push @p1444 @t132) % 16.05/16.46 (assume-push @p1445 @t113) % 16.05/16.46 (assume-push @p1446 @t117) % 16.05/16.46 (assume-push @p1447 @t89) % 16.05/16.46 (assume-push @p1448 @t91) % 16.05/16.46 (assume-push @p1449 @t94) % 16.05/16.46 (assume-push @p1450 @t71) % 16.05/16.46 (assume-push @p1451 @t85) % 16.05/16.46 (assume-push @p1452 @t111) % 16.05/16.46 (assume-push @p1453 @t125) % 16.05/16.46 (assume-push @p1454 @t138) % 16.05/16.46 (assume-push @p1455 @t141) % 16.05/16.46 (assume-push @p1456 @t70) % 16.05/16.46 (assume-push @p1457 @t107) % 16.05/16.46 (assume-push @p1458 @t128) % 16.05/16.46 (assume-push @p1459 @t145) % 16.05/16.46 (step @p171 :rule refl :args (tptp.sk_c7)) % 16.05/16.46 (step @p172 :rule symm :premises (@p108)) % 16.05/16.46 (step @p173 :rule refl :args (tptp.sk_c3)) % 16.05/16.46 (step @p80 :rule symm :premises (@p56)) % 16.05/16.46 (step @p174 :rule cong :premises (@p80 @p173) :args (@t146)) % 16.05/16.46 (step @p175 :rule cong :premises (@p56 @p172) :args (@t147)) % 16.05/16.46 (step @p176 :rule symm :premises (@p106)) % 16.05/16.46 (step @p177 :rule cong :premises (@p176 @p108) :args (@t134)) % 16.05/16.46 (step @p178 :rule symm :premises (@p113)) % 16.05/16.46 (step @p179 :rule symm :premises (@p1416)) % 16.05/16.46 (step @p180 :rule cong :premises (@p179 @p173) :args (@t120)) % 16.05/16.46 (step @p181 :rule trans :premises (@p109 @p180)) % 16.05/16.46 (step @p182 :rule refl :args (@t102)) % 16.05/16.46 (step @p183 :rule cong :premises (@p182 @p181) :args (@t130)) % 16.05/16.46 (step @p184 :rule trans :premises (@p183 @p178 @p177 @p175 @p174 @p172)) % 16.05/16.46 (step @p185 :rule cong :premises (@p184 @p171) :args (@t131)) % 16.05/16.46 (step @p186 :rule symm :premises (@p112)) % 16.05/16.46 (step @p187 :rule cong :premises (@p182 @p105) :args (@t114)) % 16.05/16.46 (step @p188 :rule symm :premises (@p107)) % 16.05/16.46 (step @p78 :rule symm :premises (@p57)) % 16.05/16.46 (step @p82 :rule refl :args (@t10)) % 16.05/16.46 (step @p189 :rule cong :premises (@p80 @p82) :args (@t96)) % 16.05/16.46 (step @p190 :rule cong :premises (@p56 @p78) :args (@t95)) % 16.05/16.46 (step @p191 :rule symm :premises (@p61)) % 16.05/16.46 (step @p192 :rule cong :premises (@p191 @p57) :args (@t93)) % 16.05/16.46 (step @p193 :rule symm :premises (@p62)) % 16.05/16.46 (step @p194 :rule cong :premises (@p1418 @p1419) :args (@t97)) % 16.05/16.46 (step @p195 :rule symm :premises (@p104)) % 16.05/16.46 (step @p196 :rule cong :premises (@p38 @p195) :args (@t122)) % 16.05/16.46 (step @p197 :rule symm :premises (@p181)) % 16.05/16.46 (step @p198 :rule cong :premises (@p38 @p197) :args (@t136)) % 16.05/16.46 (step @p199 :rule trans :premises (@p124 @p198)) % 16.05/16.46 (step @p200 :rule cong :premises (@p199 @p38) :args (@t140)) % 16.05/16.46 (step @p201 :rule symm :premises (@p125)) % 16.05/16.46 (step @p202 :rule trans :premises (@p194 @p193 @p192 @p190 @p189 @p78)) % 16.05/16.46 (step @p203 :rule cong :premises (@p202 @p1417) :args (@t103)) % 16.05/16.46 (step @p204 :rule cong :premises (@p38 @p202) :args (@t126)) % 16.05/16.46 (step @p205 :rule symm :premises (@p202)) % 16.05/16.46 (step @p206 :rule cong :premises (@p205 @p38) :args (@t142)) % 16.05/16.46 (step @p207 :rule trans :premises (@p206 @p111 @p204 @p123 @p203 @p201 @p200 @p110 @p196 @p194 @p193 @p192 @p190 @p189 @p78)) % 16.05/16.46 (step @p208 :rule refl :args (@t109)) % 16.05/16.46 (step @p209 :rule cong :premises (@p208 @p207) :args (@t143)) % 16.05/16.46 (step @p210 :rule cong :premises (@p107 @p195) :args (@t148)) % 16.05/16.46 (step @p211 :rule cong :premises (@p80 @p104) :args (@t149)) % 16.05/16.46 (step @p212 :rule cong :premises (@p56 @p38) :args (@t110)) % 16.05/16.46 (step @p213 :rule trans :premises (@p104 @p212 @p211 @p210 @p126 @p209 @p188 @p106 @p187 @p186 @p185)) % 16.05/16.46 (step-pop @p1460 :rule scope :premises (@p213)) % 16.05/16.46 (step-pop @p1461 :rule scope :premises (@p1460)) % 16.05/16.46 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16.05/16.46 (step-pop @p1478 :rule scope :premises (@p1477)) % 16.05/16.46 (step-pop @p1479 :rule scope :premises (@p1478)) % 16.05/16.46 (step-pop @p1480 :rule scope :premises (@p1479)) % 16.05/16.46 (step-pop @p1481 :rule scope :premises (@p1480)) % 16.05/16.46 (step @p214 :rule process_scope :premises (@p1481) :args (@t150)) % 16.05/16.46 (step @p237 :rule and_intro :premises (@p108 @p56 @p106 @p113 @p1416 @p109 @p112 @p105 @p107 @p57 @p61 @p62 @p1418 @p1419 @p104 @p110 @p124 @p125 @p1417 @p123 @p111 @p126)) % 16.05/16.46 (step @p238 :rule modus_ponens :premises (@p237 @p214)) % 16.05/16.46 (step-pop @p1482 :rule scope :premises (@p238)) % 16.05/16.46 (step-pop @p1483 :rule scope :premises (@p1482)) % 16.05/16.46 (step-pop @p1484 :rule scope :premises (@p1483)) % 16.05/16.46 (step-pop @p1485 :rule scope :premises (@p1484)) % 16.05/16.46 (step-pop @p1486 :rule scope :premises (@p1485)) % 16.05/16.46 (step-pop @p1487 :rule scope :premises (@p1486)) % 16.05/16.46 (step-pop @p1488 :rule 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@t91) % 16.05/16.46 (assume-push @p1515 @t125) % 16.05/16.46 (assume-push @p1516 @t128) % 16.05/16.46 (assume-push @p1517 @t94) % 16.05/16.46 (assume-push @p1518 @t107) % 16.05/16.46 (assume-push @p1519 @t138) % 16.05/16.46 (assume-push @p1520 @t141) % 16.05/16.46 (assume-push @p1521 @t145) % 16.05/16.46 (assume-push @p1522 @t71) % 16.05/16.46 (assume-push @p1523 @t111) % 16.05/16.46 (assume-push @p1524 @t87) % 16.05/16.46 (assume-push @p1525 @t117) % 16.05/16.46 (assume-push @p1526 @t145) % 16.05/16.46 (assume-push @p1527 @t89) % 16.05/16.46 (assume-push @p1528 @t91) % 16.05/16.46 (assume-push @p1529 @t94) % 16.05/16.46 (assume-push @p1530 @t85) % 16.05/16.46 (assume-push @p1531 @t128) % 16.05/16.46 (assume-push @p1532 @t107) % 16.05/16.46 (assume-push @p1533 @t70) % 16.05/16.46 (assume-push @p1534 @t141) % 16.05/16.46 (assume-push @p1535 @t138) % 16.05/16.46 (assume-push @p1536 @t69) % 16.05/16.46 (assume-push @p1537 @t121) % 16.05/16.46 (assume-push @p1538 @t125) % 16.05/16.46 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16.05/16.46 (step @p193 :rule symm :premises (@p62)) % 16.05/16.46 (step @p309 :rule cong :premises (@p1506 @p1507) :args (@t97)) % 16.05/16.46 (step @p310 :rule trans :premises (@p309 @p193 @p192 @p190 @p189 @p78)) % 16.05/16.46 (step @p311 :rule cong :premises (@p310 @p38) :args (@t127)) % 16.05/16.46 (step @p312 :rule symm :premises (@p111)) % 16.05/16.46 (step @p313 :rule symm :premises (@p310)) % 16.05/16.46 (step @p314 :rule cong :premises (@p38 @p313) :args (@t104)) % 16.05/16.46 (step @p118 :rule instantiate :premises (@p3) :args (@t106)) % 16.05/16.46 (step @p315 :rule symm :premises (@p1505)) % 16.05/16.46 (step @p316 :rule cong :premises (@p313 @p315) :args (@t139)) % 16.05/16.46 (step @p317 :rule symm :premises (@p124)) % 16.05/16.46 (step @p173 :rule refl :args (tptp.sk_c3)) % 16.05/16.46 (step @p318 :rule symm :premises (@p1504)) % 16.05/16.46 (step @p319 :rule cong :premises (@p318 @p173) :args (@t120)) % 16.05/16.46 (step @p320 :rule trans :premises (@p109 @p319)) % 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16.05/16.46 (step-pop @p1547 :rule scope :premises (@p1546)) % 16.05/16.46 (step-pop @p1548 :rule scope :premises (@p1547)) % 16.05/16.46 (step-pop @p1549 :rule scope :premises (@p1548)) % 16.05/16.46 (step-pop @p1550 :rule scope :premises (@p1549)) % 16.05/16.46 (step-pop @p1551 :rule scope :premises (@p1550)) % 16.05/16.46 (step-pop @p1552 :rule scope :premises (@p1551)) % 16.05/16.46 (step-pop @p1553 :rule scope :premises (@p1552)) % 16.05/16.46 (step-pop @p1554 :rule scope :premises (@p1553)) % 16.05/16.46 (step-pop @p1555 :rule scope :premises (@p1554)) % 16.05/16.46 (step-pop @p1556 :rule scope :premises (@p1555)) % 16.05/16.46 (step-pop @p1557 :rule scope :premises (@p1556)) % 16.05/16.46 (step @p338 :rule process_scope :premises (@p1557) :args (@t175)) % 16.05/16.46 (step @p357 :rule and_intro :premises (@p1506 @p104 @p56 @p107 @p126 @p57 @p61 @p62 @p1507 @p111 @p123 @p1505 @p125 @p124 @p1504 @p109 @p110 @p266)) % 16.05/16.46 (step @p358 :rule modus_ponens :premises (@p357 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(step @p844 :rule and_intro :premises (@p1782 @p105 @p56 @p61 @p1781 @p1780 @p718 @p106 @p720 @p719 @p112 @p266 @p1783)) % 16.05/16.46 (step @p845 :rule modus_ponens :premises (@p844 @p830)) % 16.05/16.46 (step-pop @p1819 :rule scope :premises (@p845)) % 16.05/16.46 (step-pop @p1820 :rule scope :premises (@p1819)) % 16.05/16.46 (step-pop @p1821 :rule scope :premises (@p1820)) % 16.05/16.46 (step-pop @p1822 :rule scope :premises (@p1821)) % 16.05/16.46 (step-pop @p1823 :rule scope :premises (@p1822)) % 16.05/16.46 (step-pop @p1824 :rule scope :premises (@p1823)) % 16.05/16.46 (step-pop @p1825 :rule scope :premises (@p1824)) % 16.05/16.46 (step-pop @p1826 :rule scope :premises (@p1825)) % 16.05/16.46 (step-pop @p1827 :rule scope :premises (@p1826)) % 16.05/16.46 (step-pop @p1828 :rule scope :premises (@p1827)) % 16.05/16.46 (step-pop @p1829 :rule scope :premises (@p1828)) % 16.05/16.46 (step-pop @p1830 :rule scope :premises (@p1829)) % 16.05/16.46 (step-pop @p1831 :rule scope :premises (@p1830)) % 16.05/16.46 (step @p846 :rule process_scope :premises (@p1831) :args (@t241)) % 16.05/16.46 (step @p860 :rule implies_elim :premises (@p846)) % 16.05/16.46 (step @p861 :rule cnf_and_neg :args (@t242)) % 16.05/16.46 (step @p862 :rule resolution :premises (@p861 @p860) :args (true @t242)) % 16.05/16.46 (step @p863 :rule reordering :premises (@p862) :args ((or @t224 @t169 @t168 @t222 @t167 @t165 @t164 @t245 @t244 @t177 @t160 @t243 @t157 @t241))) % 16.05/16.46 (step @p864 :rule cnf_or_pos :args (@t248)) % 16.05/16.46 (step @p865 :rule reordering :premises (@p864) :args ((or @t247 @t246 (not @t248)))) % 16.05/16.46 (assume-push @p1832 @t194) % 16.05/16.46 (step @p867 :rule instantiate :premises (@p1832) :args (@t226)) % 16.05/16.46 (step-pop @p1833 :rule scope :premises (@p867)) % 16.05/16.46 (step @p868 :rule process_scope :premises (@p1833) :args (@t248)) % 16.05/16.46 (step @p870 :rule implies_elim :premises (@p868)) % 16.05/16.46 (assume-push @p1834 @t223) % 16.05/16.46 (assume-push @p1835 @t71) % 16.05/16.46 (assume-push @p1836 @t68) % 16.05/16.46 (assume-push @p1837 @t85) % 16.05/16.46 (assume-push @p1838 @t87) % 16.05/16.46 (assume-push @p1839 @t113) % 16.05/16.46 (assume-push @p1840 @t115) % 16.05/16.46 (assume-push @p1841 @t229) % 16.05/16.46 (assume-push @p1842 @t231) % 16.05/16.46 (assume-push @p1843 @t171) % 16.05/16.46 (assume-push @p1844 @t91) % 16.05/16.46 (assume-push @p1845 @t235) % 16.05/16.46 (assume-push @p1846 @t132) % 16.05/16.46 (assume-push @p1847 @t85) % 16.05/16.46 (assume-push @p1848 @t171) % 16.05/16.46 (assume-push @p1849 @t87) % 16.05/16.46 (assume-push @p1850 @t115) % 16.05/16.46 (assume-push @p1851 @t113) % 16.05/16.46 (assume-push @p1852 @t132) % 16.05/16.46 (assume-push @p1853 @t231) % 16.05/16.46 (assume-push @p1854 @t68) % 16.05/16.46 (assume-push @p1855 @t235) % 16.05/16.46 (assume-push @p1856 @t229) % 16.05/16.46 (assume-push @p1857 @t223) % 16.05/16.46 (assume-push @p1858 @t71) % 16.05/16.46 (assume-push @p1859 @t91) % 16.05/16.46 (step @p897 :rule symm :premises (@p1837)) % 16.05/16.46 (step @p488 :rule symm :premises (@p105)) % 16.05/16.46 (step @p898 :rule symm :premises (@p1834)) % 16.05/16.46 (step @p171 :rule refl :args (tptp.sk_c7)) % 16.05/16.46 (step @p740 :rule symm :premises (@p718)) % 16.05/16.46 (step @p741 :rule refl :args (tptp.sk_c1)) % 16.05/16.46 (step @p80 :rule symm :premises (@p56)) % 16.05/16.46 (step @p742 :rule cong :premises (@p80 @p741) :args (@t236)) % 16.05/16.46 (step @p743 :rule cong :premises (@p56 @p740) :args (@t237)) % 16.05/16.46 (step @p176 :rule symm :premises (@p106)) % 16.05/16.46 (step @p744 :rule cong :premises (@p176 @p718) :args (@t234)) % 16.05/16.46 (step @p745 :rule symm :premises (@p720)) % 16.05/16.46 (step @p899 :rule symm :premises (@p1836)) % 16.05/16.46 (step @p900 :rule cong :premises (@p899 @p741) :args (@t230)) % 16.05/16.46 (step @p901 :rule trans :premises (@p719 @p900)) % 16.05/16.46 (step @p182 :rule refl :args (@t102)) % 16.05/16.46 (step @p902 :rule cong :premises (@p182 @p901) :args (@t130)) % 16.05/16.46 (step @p903 :rule trans :premises (@p902 @p745 @p744 @p743 @p742 @p740)) % 16.05/16.46 (step @p904 :rule cong :premises (@p903 @p171) :args (@t131)) % 16.05/16.46 (step @p186 :rule symm :premises (@p112)) % 16.05/16.46 (step @p187 :rule cong :premises (@p182 @p105) :args (@t114)) % 16.05/16.46 (step @p905 :rule trans :premises (@p106 @p187 @p186 @p904 @p898)) % 16.05/16.46 (step @p906 :rule cong :premises (@p905 @p488) :args (@t210)) % 16.05/16.46 (step @p754 :rule cong :premises (@p80 @p105) :args (@t209)) % 16.05/16.46 (step @p755 :rule cong :premises (@p56 @p171) :args (@t112)) % 16.05/16.46 (step @p907 :rule trans :premises (@p755 @p754 @p906)) % 16.05/16.46 (step @p331 :rule symm :premises (@p266)) % 16.05/16.46 (step @p908 :rule cong :premises (@p80 @p36) :args (@t174)) % 16.05/16.46 (step @p909 :rule cong :premises (@p56 @p331) :args (@t173)) % 16.05/16.46 (step @p810 :rule cong :premises (@p182 @p488) :args (@t129)) % 16.05/16.46 (step @p910 :rule symm :premises (@p904)) % 16.05/16.46 (step @p911 :rule symm :premises (@p1835)) % 16.05/16.46 (step @p912 :rule trans :premises (@p911 @p1834 @p910 @p112 @p810 @p176)) % 16.05/16.46 (step @p913 :rule cong :premises (@p912 @p266) :args (@t90)) % 16.05/16.46 (step @p914 :rule trans :premises (@p61 @p913 @p909 @p908 @p331)) % 16.05/16.46 (step @p915 :rule cong :premises (@p914 @p907) :args (@t210)) % 16.05/16.46 (step @p916 :rule symm :premises (@p906)) % 16.05/16.46 (step @p917 :rule trans :premises (@p916 @p915 @p897)) % 16.05/16.46 (step @p918 :rule cong :premises (@p741 @p917) :args (@t238)) % 16.05/16.46 (step @p919 :rule trans :premises (@p105 @p755 @p754 @p906)) % 16.05/16.46 (step @p920 :rule cong :premises (@p741 @p919) :args (@t14)) % 16.05/16.46 (step @p921 :rule trans :premises (@p916 @p915 @p897 @p1834 @p920 @p918)) % 16.05/16.46 (step-pop @p1860 :rule scope :premises (@p921)) % 16.05/16.46 (step-pop @p1861 :rule scope :premises (@p1860)) % 16.05/16.46 (step-pop @p1862 :rule scope :premises (@p1861)) % 16.05/16.46 (step-pop @p1863 :rule scope :premises (@p1862)) % 16.05/16.46 (step-pop @p1864 :rule scope :premises (@p1863)) % 16.05/16.46 (step-pop @p1865 :rule scope :premises (@p1864)) % 16.05/16.46 (step-pop @p1866 :rule scope :premises (@p1865)) % 16.05/16.46 (step-pop @p1867 :rule scope :premises (@p1866)) % 16.05/16.46 (step-pop @p1868 :rule scope :premises (@p1867)) % 16.05/16.46 (step-pop @p1869 :rule scope :premises (@p1868)) % 16.05/16.46 (step-pop @p1870 :rule scope :premises (@p1869)) % 16.05/16.46 (step-pop @p1871 :rule scope :premises (@p1870)) % 16.05/16.46 (step-pop @p1872 :rule scope :premises (@p1871)) % 16.05/16.46 (step @p922 :rule process_scope :premises (@p1872) :args (@t249)) % 16.05/16.46 (step @p936 :rule and_intro :premises (@p1837 @p266 @p56 @p106 @p105 @p112 @p719 @p1836 @p720 @p718 @p1834 @p1835 @p61)) % 16.05/16.46 (step @p937 :rule modus_ponens :premises (@p936 @p922)) % 16.05/16.46 (step-pop @p1873 :rule scope :premises (@p937)) % 16.05/16.46 (step-pop @p1874 :rule scope :premises (@p1873)) % 16.05/16.46 (step-pop @p1875 :rule scope :premises (@p1874)) % 16.05/16.46 (step-pop @p1876 :rule scope :premises (@p1875)) % 16.05/16.46 (step-pop @p1877 :rule scope :premises (@p1876)) % 16.05/16.46 (step-pop @p1878 :rule scope :premises (@p1877)) % 16.05/16.46 (step-pop @p1879 :rule scope :premises (@p1878)) % 16.05/16.46 (step-pop @p1880 :rule scope :premises (@p1879)) % 16.05/16.46 (step-pop @p1881 :rule scope :premises (@p1880)) % 16.05/16.46 (step-pop @p1882 :rule scope :premises (@p1881)) % 16.05/16.46 (step-pop @p1883 :rule scope :premises (@p1882)) % 16.05/16.46 (step-pop @p1884 :rule scope :premises (@p1883)) % 16.05/16.46 (step-pop @p1885 :rule scope :premises (@p1884)) % 16.05/16.46 (step @p938 :rule process_scope :premises (@p1885) :args (@t249)) % 16.05/16.46 (step @p952 :rule implies_elim :premises (@p938)) % 16.05/16.46 (step @p953 :rule resolution :premises (@p861 @p952) :args (true @t242)) % 16.05/16.46 (step @p954 :rule reordering :premises (@p953) :args ((or @t224 @t169 @t168 @t222 @t167 @t165 @t164 @t245 @t244 @t177 @t160 @t243 @t157 @t249))) % 16.05/16.46 (step @p955 :rule cnf_or_pos :args (@t251)) % 16.05/16.46 (step @p956 :rule reordering :premises (@p955) :args ((or @t247 @t250 (not @t251)))) % 16.05/16.46 (assume-push @p1886 @t191) % 16.05/16.46 (step @p958 :rule instantiate :premises (@p1886) :args (@t226)) % 16.05/16.46 (step-pop @p1887 :rule scope :premises (@p958)) % 16.05/16.46 (step @p959 :rule process_scope :premises (@p1887) :args (@t251)) % 16.05/16.46 (step @p961 :rule implies_elim :premises (@p959)) % 16.05/16.46 (step @p962 :rule chain_m_resolution :premises (@p961 @p956 @p954 @p112 @p720 @p61 @p266 @p719 @p718 @p106 @p105 @p56 @p451 @p870 @p865 @p863 @p112 @p720 @p61 @p266 @p719 @p718 @p106 @p105 @p56 @p783 @p112 @p720 @p719 @p718 @p106 @p105 @p56 @p52 @p47 @p717 @p712 @p709 @p706 @p702 @p697) :args ((or @t227 @t224 @t222) (@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 true true false false false false true true) (@list @t251 @t249 @t132 @t235 @t91 @t171 @t231 @t229 @t115 @t113 @t87 @t191 @t194 @t248 @t241 @t132 @t235 @t91 @t171 @t231 @t229 @t115 @t113 @t87 @t239 @t132 @t235 @t231 @t229 @t115 @t113 @t87 @t80 @t75 @t85 @t71 @t70 @t69 @t188 @t225))) % 16.05/16.46 (step @p963 :rule cnf_or_pos :args (@t255)) % 16.05/16.46 (step @p964 :rule reordering :premises (@p963) :args ((or @t254 @t252 (not @t255)))) % 16.05/16.46 (assume-push @p1888 @t191) % 16.05/16.46 (step @p966 :rule instantiate :premises (@p1888) :args (@t256)) % 16.05/16.46 (step-pop @p1889 :rule scope :premises (@p966)) % 16.05/16.46 (step @p967 :rule process_scope :premises (@p1889) :args (@t255)) % 16.05/16.46 (step @p969 :rule implies_elim :premises (@p967)) % 16.05/16.46 (step @p970 :rule instantiate :premises (@p55) :args (@t256)) % 16.05/16.46 (step @p971 :rule instantiate :premises (@p60) :args (@t256)) % 16.05/16.46 (step @p972 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c6 tptp.identity tptp.identity))) % 16.05/16.46 (assume-push @p1890 @t223) % 16.05/16.46 (assume-push @p1891 @t68) % 16.05/16.46 (assume-push @p1892 @t227) % 16.05/16.46 (assume-push @p1893 @t253) % 16.05/16.46 (assume-push @p1894 @t87) % 16.05/16.46 (assume-push @p1895 @t111) % 16.05/16.46 (assume-push @p1896 @t113) % 16.05/16.46 (assume-push @p1897 @t115) % 16.05/16.46 (assume-push @p1898 @t229) % 16.05/16.46 (assume-push @p1899 @t231) % 16.05/16.46 (assume-push @p1900 @t258) % 16.05/16.46 (assume-push @p1901 @t260) % 16.05/16.46 (assume-push @p1902 @t262) % 16.05/16.46 (assume-push @p1903 @t125) % 16.05/16.46 (assume-push @p1904 @t235) % 16.05/16.46 (assume-push @p1905 @t132) % 16.05/16.46 (assume-push @p1906 @t87) % 16.05/16.46 (assume-push @p1907 @t262) % 16.05/16.46 (assume-push @p1908 @t115) % 16.05/16.46 (assume-push @p1909 @t113) % 16.05/16.46 (assume-push @p1910 @t132) % 16.05/16.46 (assume-push @p1911 @t231) % 16.05/16.46 (assume-push @p1912 @t68) % 16.05/16.46 (assume-push @p1913 @t235) % 16.05/16.46 (assume-push @p1914 @t229) % 16.05/16.46 (assume-push @p1915 @t223) % 16.05/16.46 (assume-push @p1916 @t125) % 16.05/16.46 (assume-push @p1917 @t111) % 16.05/16.46 (assume-push @p1918 @t260) % 16.05/16.46 (assume-push @p1919 @t227) % 16.05/16.46 (assume-push @p1920 @t258) % 16.05/16.46 (assume-push @p1921 @t253) % 16.05/16.46 (step @p80 :rule symm :premises (@p56)) % 16.05/16.46 (step @p1005 :rule cong :premises (@p38 @p80) :args (@t261)) % 16.05/16.46 (step @p176 :rule symm :premises (@p106)) % 16.05/16.46 (step @p488 :rule symm :premises (@p105)) % 16.05/16.46 (step @p182 :rule refl :args (@t102)) % 16.05/16.46 (step @p810 :rule cong :premises (@p182 @p488) :args (@t129)) % 16.05/16.46 (step @p171 :rule refl :args (tptp.sk_c7)) % 16.05/16.46 (step @p811 :rule symm :premises (@p719)) % 16.05/16.46 (step @p741 :rule refl :args (tptp.sk_c1)) % 16.05/16.46 (step @p1006 :rule cong :premises (@p1891 @p741) :args (@t232)) % 16.05/16.46 (step @p1007 :rule trans :premises (@p1006 @p811)) % 16.05/16.46 (step @p1008 :rule cong :premises (@p182 @p1007) :args (@t233)) % 16.05/16.46 (step @p740 :rule symm :premises (@p718)) % 16.05/16.46 (step @p815 :rule cong :premises (@p106 @p740) :args (@t237)) % 16.05/16.46 (step @p816 :rule cong :premises (@p80 @p718) :args (@t236)) % 16.05/16.46 (step @p817 :rule cong :premises (@p56 @p741) :args (@t228)) % 16.05/16.46 (step @p1009 :rule trans :premises (@p718 @p817 @p816 @p815 @p720 @p1008)) % 16.05/16.46 (step @p1010 :rule cong :premises (@p1009 @p171) :args (@t14)) % 16.05/16.46 (step @p1011 :rule trans :premises (@p1890 @p1010 @p112 @p810 @p176)) % 16.05/16.46 (step @p1012 :rule refl :args (@t123)) % 16.05/16.46 (step @p1013 :rule cong :premises (@p1012 @p1011) :args (@t124)) % 16.05/16.46 (step @p324 :rule symm :premises (@p110)) % 16.05/16.46 (step @p325 :rule cong :premises (@p38 @p104) :args (@t97)) % 16.05/16.46 (step @p1014 :rule symm :premises (@p1011)) % 16.05/16.46 (step @p1015 :rule cong :premises (@p1014 @p1014) :args (@t86)) % 16.05/16.46 (step @p1016 :rule trans :premises (@p56 @p1015 @p325 @p324 @p1013 @p972 @p1005)) % 16.05/16.46 (step @p1017 :rule cong :premises (@p1016) :args (@t172)) % 16.05/16.46 (step @p1018 :rule symm :premises (@p971)) % 16.05/16.46 (step @p1019 :rule symm :premises (@p970)) % 16.05/16.46 (step @p1020 :rule symm :premises (@p1890)) % 16.05/16.46 (step @p1021 :rule symm :premises (@p1010)) % 16.05/16.46 (step @p186 :rule symm :premises (@p112)) % 16.05/16.46 (step @p187 :rule cong :premises (@p182 @p105) :args (@t114)) % 16.05/16.46 (step @p1022 :rule trans :premises (@p106 @p187 @p186 @p1021 @p1020 @p1892)) % 16.05/16.46 (step @p1023 :rule cong :premises (@p1022 @p1019) :args (@t263)) % 16.05/16.46 (step @p1024 :rule cong :premises (@p80 @p970) :args (@t264)) % 16.05/16.46 (step @p1025 :rule refl :args (tptp.sk_c2)) % 16.05/16.46 (step @p1026 :rule cong :premises (@p56 @p1025) :args (@t257)) % 16.05/16.46 (step @p1027 :rule trans :premises (@p970 @p1026 @p1024 @p1023 @p1018)) % 16.05/16.46 (step @p1028 :rule cong :premises (@p1027) :args (@t38)) % 16.05/16.46 (step @p1029 :rule cong :premises (@p1027 @p1011) :args (@t32)) % 16.05/16.46 (step @p1030 :rule cong :premises (@p1014 @p488) :args (@t210)) % 16.05/16.46 (step @p754 :rule cong :premises (@p80 @p105) :args (@t209)) % 16.05/16.46 (step @p755 :rule cong :premises (@p56 @p171) :args (@t112)) % 16.05/16.46 (step @p1031 :rule trans :premises (@p105 @p755 @p754 @p1030 @p1893 @p1029 @p80 @p106 @p187 @p186 @p1021 @p1020 @p1892 @p1028 @p1017)) % 16.05/16.46 (step-pop @p1922 :rule scope :premises (@p1031)) % 16.05/16.46 (step-pop @p1923 :rule scope :premises (@p1922)) % 16.05/16.46 (step-pop @p1924 :rule scope :premises (@p1923)) % 16.05/16.46 (step-pop @p1925 :rule scope :premises (@p1924)) % 16.05/16.46 (step-pop @p1926 :rule scope :premises (@p1925)) % 16.05/16.46 (step-pop @p1927 :rule scope :premises (@p1926)) % 16.05/16.46 (step-pop @p1928 :rule scope :premises (@p1927)) % 16.05/16.46 (step-pop @p1929 :rule scope :premises (@p1928)) % 16.05/16.46 (step-pop @p1930 :rule scope :premises (@p1929)) % 16.05/16.46 (step-pop @p1931 :rule scope :premises (@p1930)) % 16.05/16.46 (step-pop @p1932 :rule scope :premises (@p1931)) % 16.05/16.46 (step-pop @p1933 :rule scope :premises (@p1932)) % 16.05/16.46 (step-pop @p1934 :rule scope :premises (@p1933)) % 16.05/16.46 (step-pop @p1935 :rule scope :premises (@p1934)) % 16.05/16.46 (step-pop @p1936 :rule scope :premises (@p1935)) % 16.05/16.46 (step-pop @p1937 :rule scope :premises (@p1936)) % 16.05/16.46 (step @p1032 :rule process_scope :premises (@p1937) :args (@t265)) % 16.05/16.46 (step @p1049 :rule and_intro :premises (@p56 @p972 @p106 @p105 @p112 @p719 @p1891 @p720 @p718 @p1890 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@p2080 @t235) % 16.05/16.46 (assume-push @p2081 @t132) % 16.05/16.46 (assume-push @p2082 @t229) % 16.05/16.46 (assume-push @p2083 @t87) % 16.05/16.46 (assume-push @p2084 @t115) % 16.05/16.46 (assume-push @p2085 @t235) % 16.05/16.46 (assume-push @p2086 @t68) % 16.05/16.46 (assume-push @p2087 @t231) % 16.05/16.46 (assume-push @p2088 @t113) % 16.05/16.46 (assume-push @p2089 @t132) % 16.05/16.46 (assume-push @p2090 @t223) % 16.05/16.46 (assume-push @p2091 @t260) % 16.05/16.46 (assume-push @p2092 @t227) % 16.05/16.46 (assume-push @p2093 @t258) % 16.05/16.46 (assume-push @p2094 @t253) % 16.05/16.46 (assume-push @p2095 @t117) % 16.05/16.46 (step @p1268 :rule symm :premises (@p2071)) % 16.05/16.46 (step @p1269 :rule symm :premises (@p2068)) % 16.05/16.46 (step @p171 :rule refl :args (tptp.sk_c7)) % 16.05/16.46 (step @p740 :rule symm :premises (@p718)) % 16.05/16.46 (step @p741 :rule refl :args (tptp.sk_c1)) % 16.05/16.46 (step @p80 :rule symm :premises (@p56)) % 16.05/16.46 (step @p742 :rule cong :premises (@p80 @p741) :args (@t236)) % 16.05/16.46 (step @p743 :rule cong :premises (@p56 @p740) :args (@t237)) % 16.05/16.46 (step @p176 :rule symm :premises (@p106)) % 16.05/16.46 (step @p744 :rule cong :premises (@p176 @p718) :args (@t234)) % 16.05/16.46 (step @p745 :rule symm :premises (@p720)) % 16.05/16.46 (step @p1270 :rule symm :premises (@p2069)) % 16.05/16.46 (step @p1271 :rule cong :premises (@p1270 @p741) :args (@t230)) % 16.05/16.46 (step @p1272 :rule trans :premises (@p719 @p1271)) % 16.05/16.46 (step @p182 :rule refl :args (@t102)) % 16.05/16.46 (step @p1273 :rule cong :premises (@p182 @p1272) :args (@t130)) % 16.05/16.46 (step @p1274 :rule trans :premises (@p1273 @p745 @p744 @p743 @p742 @p740)) % 16.05/16.46 (step @p1275 :rule cong :premises (@p1274 @p171) :args (@t131)) % 16.05/16.46 (step @p186 :rule symm :premises (@p112)) % 16.05/16.46 (step @p187 :rule cong :premises (@p182 @p105) :args (@t114)) % 16.05/16.46 (step @p1276 :rule trans :premises (@p106 @p187 @p186 @p1275 @p1269)) % 16.05/16.46 (step @p1019 :rule symm :premises (@p970)) % 16.05/16.46 (step @p1025 :rule refl :args (tptp.sk_c2)) % 16.05/16.46 (step @p1198 :rule cong :premises (@p80 @p1025) :args (@t264)) % 16.05/16.46 (step @p1199 :rule cong :premises (@p56 @p1019) :args (@t263)) % 16.05/16.46 (step @p488 :rule symm :premises (@p105)) % 16.05/16.46 (step @p810 :rule cong :premises (@p182 @p488) :args (@t129)) % 16.05/16.46 (step @p1277 :rule symm :premises (@p1275)) % 16.05/16.46 (step @p1278 :rule symm :premises (@p2070)) % 16.05/16.46 (step @p1279 :rule trans :premises (@p1278 @p2068 @p1277 @p112 @p810 @p176)) % 16.05/16.46 (step @p1280 :rule cong :premises (@p1279 @p970) :args (@t259)) % 16.05/16.46 (step @p1281 :rule trans :premises (@p971 @p1280 @p1199 @p1198 @p1019)) % 16.05/16.46 (step @p1282 :rule cong :premises (@p1281 @p1276) :args (@t86)) % 16.05/16.46 (step @p1283 :rule trans :premises (@p56 @p1282 @p1268)) % 16.05/16.46 (step @p1284 :rule symm :premises (@p1283)) % 16.05/16.46 (step @p489 :rule cong :premises (@p80 @p171) :args (@t209)) % 16.05/16.46 (step @p490 :rule cong :premises (@p56 @p488) :args (@t210)) % 16.05/16.46 (step @p1285 :rule symm :premises (@p1276)) % 16.05/16.46 (step @p1286 :rule cong :premises (@p1285 @p105) :args (@t10)) % 16.05/16.46 (step @p1287 :rule trans :premises (@p1286 @p490 @p489 @p488)) % 16.05/16.46 (step @p1288 :rule cong :premises (@p1287) :args (@t109)) % 16.05/16.46 (step @p1289 :rule cong :premises (@p1288 @p1284) :args (@t116)) % 16.05/16.46 (step @p1290 :rule trans :premises (@p107 @p1289 @p1273 @p745 @p744 @p743 @p742 @p740)) % 16.05/16.46 (step @p1291 :rule cong :premises (@p1290 @p1283) :args (@t86)) % 16.05/16.46 (step @p1292 :rule trans :premises (@p2068 @p1277 @p112 @p810 @p176 @p56 @p1291)) % 16.05/16.46 (step-pop @p2096 :rule scope :premises (@p1292)) % 16.05/16.46 (step-pop @p2097 :rule scope :premises (@p2096)) % 16.05/16.46 (step-pop @p2098 :rule scope :premises (@p2097)) % 16.05/16.46 (step-pop @p2099 :rule scope :premises (@p2098)) % 16.05/16.46 (step-pop @p2100 :rule scope :premises (@p2099)) % 16.05/16.46 (step-pop @p2101 :rule scope :premises (@p2100)) % 16.05/16.46 (step-pop @p2102 :rule scope :premises (@p2101)) % 16.05/16.46 (step-pop @p2103 :rule scope :premises (@p2102)) % 16.05/16.46 (step-pop @p2104 :rule scope :premises (@p2103)) % 16.05/16.46 (step-pop @p2105 :rule scope :premises (@p2104)) % 16.05/16.46 (step-pop @p2106 :rule scope :premises (@p2105)) % 16.05/16.46 (step-pop @p2107 :rule scope :premises (@p2106)) % 16.05/16.46 (step-pop @p2108 :rule scope :premises (@p2107)) % 16.05/16.46 (step-pop @p2109 :rule scope :premises (@p2108)) % 16.05/16.46 (step @p1293 :rule process_scope :premises (@p2109) :args (@t239)) % 16.05/16.46 (step @p1308 :rule and_intro :premises (@p718 @p56 @p106 @p720 @p2069 @p719 @p105 @p112 @p2068 @p971 @p2070 @p970 @p2071 @p107)) % 16.05/16.46 (step @p1309 :rule modus_ponens :premises (@p1308 @p1293)) % 16.05/16.46 (step-pop @p2110 :rule scope :premises (@p1309)) % 16.05/16.46 (step-pop @p2111 :rule scope :premises (@p2110)) % 16.05/16.46 (step-pop @p2112 :rule scope :premises (@p2111)) % 16.05/16.46 (step-pop @p2113 :rule scope :premises (@p2112)) % 16.05/16.46 (step-pop @p2114 :rule scope :premises (@p2113)) % 16.05/16.46 (step-pop @p2115 :rule scope :premises (@p2114)) % 16.05/16.46 (step-pop @p2116 :rule scope :premises (@p2115)) % 16.05/16.46 (step-pop @p2117 :rule scope :premises (@p2116)) % 16.05/16.46 (step-pop @p2118 :rule scope :premises (@p2117)) % 16.05/16.46 (step-pop @p2119 :rule scope :premises (@p2118)) % 16.05/16.46 (step-pop @p2120 :rule scope :premises (@p2119)) % 16.05/16.46 (step-pop @p2121 :rule scope :premises (@p2120)) % 16.05/16.46 (step-pop @p2122 :rule scope :premises (@p2121)) % 16.05/16.46 (step-pop @p2123 :rule scope :premises (@p2122)) % 16.05/16.46 (step @p1310 :rule process_scope :premises (@p2123) :args (@t239)) % 16.05/16.46 (step @p1325 :rule implies_elim :premises (@p1310)) % 16.05/16.46 (step @p1326 :rule cnf_and_neg :args (@t275)) % 16.05/16.46 (step @p1327 :rule resolution :premises (@p1326 @p1325) :args (true @t275)) % 16.05/16.46 (step @p1328 :rule reordering :premises (@p1327) :args ((or @t224 @t222 @t254 @t252 @t167 @t165 @t164 @t162 @t245 @t244 @t268 @t267 @t243 @t157 @t239))) % 16.05/16.46 (step @p1329 :rule chain_m_resolution :premises (@p870 @p865 @p1328 @p112 @p720 @p971 @p970 @p719 @p718 @p107 @p106 @p105 @p56 @p1239 @p112 @p720 @p971 @p970 @p719 @p718 @p106 @p105 @p56 @p451 @p1162 @p1157 @p1155 @p112 @p720 @p110 @p971 @p970 @p719 @p718 @p106 @p105 @p104 @p56 @p1071 @p112 @p720 @p110 @p972 @p971 @p970 @p719 @p718 @p106 @p105 @p104 @p56 @p969 @p964 @p702 @p697) :args ((or @t224 @t222 @t254 @t252) (@list true false false false false false false false false false false 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 false false false false false false false false false false false false true true true true) (@list @t248 @t239 @t132 @t235 @t260 @t258 @t231 @t229 @t117 @t115 @t113 @t87 @t241 @t132 @t235 @t260 @t258 @t231 @t229 @t115 @t113 @t87 @t194 @t80 @t273 @t269 @t132 @t235 @t125 @t260 @t258 @t231 @t229 @t115 @t113 @t111 @t87 @t265 @t132 @t235 @t125 @t262 @t260 @t258 @t231 @t229 @t115 @t113 @t111 @t87 @t191 @t255 @t188 @t225))) % 16.05/16.46 (step @p1330 :rule refl :args (@t69)) % 16.05/16.46 (step @p1331 :rule refl :args (@t32)) % 16.05/16.46 (step @p1332 :rule cong :premises (@p35 @p1331) :args (@t276)) % 16.05/16.46 (step @p1333 :rule nary_cong :premises (@p1332 @p1330) :args ((or @t276 @t69))) % 16.05/16.46 (step @p1334 :rule eq-symm :args (@t32 tptp.sk_c5)) % 16.05/16.46 (step @p1335 :rule nary_cong :premises (@p1334 @p22) :args (@t34)) % 16.05/16.46 (step @p1336 :rule trans :premises (@p1335 @p1333)) % 16.05/16.46 (step @p1337 :rule eq_resolve :premises (@p13 @p1336)) % 16.05/16.46 (step @p1338 :rule reordering :premises (@p1337) :args ((or @t69 @t253))) % 16.05/16.46 (step @p1339 :rule refl :args (@t70)) % 16.05/16.46 (step @p1340 :rule nary_cong :premises (@p1332 @p1339) :args ((or @t276 @t70))) % 16.05/16.46 (step @p1341 :rule nary_cong :premises (@p1334 @p27) :args (@t35)) % 16.05/16.46 (step @p1342 :rule trans :premises (@p1341 @p1340)) % 16.05/16.46 (step @p1343 :rule eq_resolve :premises (@p14 @p1342)) % 16.05/16.46 (step @p1344 :rule reordering :premises (@p1343) :args ((or @t70 @t253))) % 16.05/16.46 (step @p1345 :rule refl :args (@t71)) % 16.05/16.46 (step @p1346 :rule nary_cong :premises (@p1332 @p1345) :args ((or @t276 @t71))) % 16.05/16.46 (step @p1347 :rule nary_cong :premises (@p1334 @p31) :args (@t36)) % 16.05/16.46 (step @p1348 :rule trans :premises (@p1347 @p1346)) % 16.05/16.46 (step @p1349 :rule eq_resolve :premises (@p15 @p1348)) % 16.05/16.46 (step @p1350 :rule reordering :premises (@p1349) :args ((or @t71 @t253))) % 16.05/16.46 (step @p1351 :rule nary_cong :premises (@p1332 @p39) :args ((or @t276 @t72))) % 16.05/16.46 (step @p1352 :rule nary_cong :premises (@p1334 @p42) :args (@t37)) % 16.05/16.46 (step @p1353 :rule trans :premises (@p1352 @p1351)) % 16.05/16.46 (step @p1354 :rule eq_resolve :premises (@p16 @p1353)) % 16.05/16.46 (step @p1355 :rule reordering :premises (@p1354) :args ((or @t85 @t253))) % 16.05/16.46 (step @p1356 :rule chain_m_resolution :premises (@p783 @p112 @p720 @p719 @p718 @p106 @p105 @p56 @p865 @p870 @p451 @p961 @p956 @p52 @p863 @p112 @p720 @p61 @p266 @p719 @p718 @p106 @p105 @p56 @p954 @p112 @p720 @p61 @p266 @p719 @p718 @p106 @p105 @p56 @p47 @p1355 @p1350 @p1344 @p1338 @p1329 @p962 @p702 @p697) :args (@t225 (@list false false false false false false false true false false true true true 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 true false true true) (@list @t132 @t235 @t231 @t229 @t115 @t113 @t87 @t239 @t248 @t194 @t191 @t251 @t80 @t241 @t132 @t235 @t91 @t171 @t231 @t229 @t115 @t113 @t87 @t249 @t132 @t235 @t91 @t171 @t231 @t229 @t115 @t113 @t87 @t75 @t85 @t71 @t70 @t69 @t253 @t227 @t188 @t225))) % 16.05/16.46 (step @p1357 :rule chain_m_resolution :premises (@p1356 @p695) :args (@t224 @t108 (@list @t68))) % 16.05/16.46 (step @p1358 :rule eq-symm :args (@t14 tptp.sk_c6)) % 16.05/16.46 (step @p1359 :rule nary_cong :premises (@p1358 @p27) :args (@t19)) % 16.05/16.46 (step @p1360 :rule eq_resolve :premises (@p6 @p1359)) % 16.05/16.46 (step @p1361 :rule chain_m_resolution :premises (@p1360 @p1357) :args (@t70 @t277 @t278)) % 16.05/16.46 (step @p1362 :rule nary_cong :premises (@p1358 @p22) :args (@t16)) % 16.05/16.46 (step @p1363 :rule eq_resolve :premises (@p5 @p1362)) % 16.05/16.46 (step @p1364 :rule chain_m_resolution :premises (@p1363 @p1357) :args (@t69 @t277 @t278)) % 16.05/16.46 (step @p1365 :rule chain_m_resolution :premises (@p47 @p1364 @p1361) :args (@t76 @t279 (@list @t69 @t70))) % 16.05/16.46 (step @p1366 :rule chain_m_resolution :premises (@p52 @p1365) :args ((not @t80) @t277 (@list @t75))) % 16.05/16.46 (step @p1367 :rule refl :args (@t223)) % 16.05/16.46 (step @p1368 :rule nary_cong :premises (@p1367 @p39) :args ((or @t223 @t72))) % 16.05/16.46 (step @p1369 :rule nary_cong :premises (@p1358 @p42) :args (@t25)) % 16.05/16.46 (step @p1370 :rule trans :premises (@p1369 @p1368)) % 16.05/16.46 (step @p1371 :rule eq_resolve :premises (@p8 @p1370)) % 16.05/16.46 (step @p1372 :rule chain_m_resolution :premises (@p1371 @p1357) :args (@t85 @t277 @t278)) % 16.05/16.46 (step @p1373 :rule nary_cong :premises (@p1358 @p31) :args (@t22)) % 16.05/16.46 (step @p1374 :rule eq_resolve :premises (@p7 @p1373)) % 16.05/16.46 (step @p1375 :rule chain_m_resolution :premises (@p1374 @p1357) :args (@t71 @t277 @t278)) % 16.05/16.46 (step @p1376 :rule chain_m_resolution :premises (@p381 @p1364 @p1361 @p1375 @p1372 @p56 @p104 @p57 @p107 @p109 @p266 @p61 @p110 @p111 @p62 @p123 @p124 @p125 @p126) :args (@t175 @t280 (@list @t69 @t70 @t71 @t85 @t87 @t111 @t89 @t117 @t121 @t171 @t91 @t125 @t128 @t94 @t107 @t138 @t141 @t145))) % 16.05/16.46 (step @p1377 :rule chain_m_resolution :premises (@p103 @p1375 @p1372 @p56 @p57 @p61 @p62) :args (@t98 (@list false false false false false false) (@list @t71 @t85 @t87 @t89 @t91 @t94))) % 16.05/16.46 (step @p1378 :rule chain_m_resolution :premises (@p385 @p1377 @p1376) :args (@t184 @t279 (@list @t98 @t175))) % 16.05/16.46 (step @p1379 :rule chain_m_resolution :premises (@p395 @p1378) :args ((not @t191) @t277 (@list @t183))) % 16.05/16.46 (step @p1380 :rule chain_m_resolution :premises (@p687 @p1364 @p1361 @p1375 @p1372 @p56 @p104 @p105 @p106 @p57 @p107 @p108 @p109 @p61 @p110 @p111 @p62 @p113 @p555 @p123 @p124 @p125 @p126) :args (@t216 @t281 (@list @t69 @t70 @t71 @t85 @t87 @t111 @t113 @t115 @t89 @t117 @t119 @t121 @t91 @t125 @t128 @t94 @t135 @t214 @t107 @t138 @t141 @t145))) % 16.05/16.46 (step @p1381 :rule chain_m_resolution :premises (@p554 @p1364 @p1361 @p1375 @p1372 @p56 @p104 @p105 @p57 @p107 @p109 @p61 @p110 @p111 @p62 @p123 @p124 @p125 @p126) :args (@t211 @t280 (@list @t69 @t70 @t71 @t85 @t87 @t111 @t113 @t89 @t117 @t121 @t91 @t125 @t128 @t94 @t107 @t138 @t141 @t145))) % 16.05/16.46 (step @p1382 :rule chain_m_resolution :premises (@p689 @p1381 @p1380) :args (@t221 @t279 (@list @t211 @t216))) % 16.05/16.46 (step @p1383 :rule chain_m_resolution :premises (@p694 @p1382) :args ((not @t194) @t277 (@list @t220))) % 16.05/16.46 (step @p1384 :rule chain_m_resolution :premises (@p265 @p1364 @p1361 @p1375 @p1372 @p56 @p104 @p105 @p106 @p57 @p107 @p108 @p109 @p61 @p110 @p111 @p112 @p62 @p113 @p123 @p124 @p125 @p126) :args (@t150 @t281 (@list @t69 @t70 @t71 @t85 @t87 @t111 @t113 @t115 @t89 @t117 @t119 @t121 @t91 @t125 @t128 @t132 @t94 @t135 @t107 @t138 @t141 @t145))) % 16.05/16.46 (step @p1385 :rule chain_m_resolution :premises (@p383 @p1364 @p1384) :args (@t180 @t279 (@list @t69 @t150))) % 16.05/16.46 (step @p1386 :rule chain_m_resolution :premises (@p390 @p1385) :args ((not @t188) @t277 (@list @t179))) % 16.05/16.46 (step @p1387 false :rule chain_m_resolution :premises (@p451 @p1386 @p1383 @p1379 @p1366) :args (false (@list true true true true) (@list @t188 @t194 @t191 @t80))) % 16.05/16.46 ) % 16.05/16.46 % SZS output end Proof % 16.05/16.46 % cvc5 exiting %------------------------------------------------------------------------------