%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP214-1 : 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 : n021.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 15.97s 16.83s % Output : Proof 15.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP214-1 : 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 % 0.17/0.34 % Computer : n021.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 01:01:04 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.87/16.10 --- Run --no-e-matching --full-saturate-quant at 6... % 15.97/16.83 % SZS status Unsatisfiable % 15.97/16.83 % SZS output start Proof % 15.97/16.84 ( % 15.97/16.84 (declare-sort $$unsorted 0) % 15.97/16.84 (declare-const tptp.sk_c2 $$unsorted) % 15.97/16.84 (declare-const tptp.sk_c4 $$unsorted) % 15.97/16.84 (declare-const tptp.sk_c1 $$unsorted) % 15.97/16.84 (declare-const tptp.sk_c6 $$unsorted) % 15.97/16.84 (declare-const tptp.sk_c3 $$unsorted) % 15.97/16.84 (declare-const tptp.sk_c7 $$unsorted) % 15.97/16.84 (declare-const tptp.sk_c5 $$unsorted) % 15.97/16.84 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.97/16.84 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.97/16.84 (declare-const tptp.identity $$unsorted) % 15.97/16.84 (define @t1 () (@var "X" $$unsorted)) % 15.97/16.84 (define @t2 () (tptp.multiply tptp.identity @t1)) % 15.97/16.84 (define @t3 () (@list @t1)) % 15.97/16.84 (define @t4 () (forall @t3 (= @t2 @t1))) % 15.97/16.84 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 15.97/16.84 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 15.97/16.84 (define @t7 () (@var "Z" $$unsorted)) % 15.97/16.84 (define @t8 () (@var "Y" $$unsorted)) % 15.97/16.84 (define @t9 () (tptp.multiply tptp.sk_c3 tptp.sk_c7)) % 15.97/16.84 (define @t10 () (= @t9 tptp.sk_c5)) % 15.97/16.84 (define @t11 () (tptp.multiply tptp.sk_c1 tptp.sk_c7)) % 15.97/16.84 (define @t12 () (= @t11 tptp.sk_c6)) % 15.97/16.84 (define @t13 () (or @t12 @t10)) % 15.97/16.84 (define @t14 () (tptp.inverse tptp.sk_c3)) % 15.97/16.84 (define @t15 () (= @t14 tptp.sk_c7)) % 15.97/16.84 (define @t16 () (or @t12 @t15)) % 15.97/16.84 (define @t17 () (tptp.multiply tptp.sk_c4 tptp.sk_c5)) % 15.97/16.84 (define @t18 () (= @t17 tptp.sk_c6)) % 15.97/16.84 (define @t19 () (or @t12 @t18)) % 15.97/16.84 (define @t20 () (tptp.inverse tptp.sk_c4)) % 15.97/16.84 (define @t21 () (= @t20 tptp.sk_c5)) % 15.97/16.84 (define @t22 () (or @t12 @t21)) % 15.97/16.84 (define @t23 () (tptp.inverse tptp.sk_c1)) % 15.97/16.84 (define @t24 () (= @t23 tptp.sk_c7)) % 15.97/16.84 (define @t25 () (or @t24 @t10)) % 15.97/16.84 (define @t26 () (or @t24 @t15)) % 15.97/16.84 (define @t27 () (or @t24 @t18)) % 15.97/16.84 (define @t28 () (or @t24 @t21)) % 15.97/16.84 (define @t29 () (= (tptp.multiply tptp.sk_c7 tptp.sk_c2) tptp.sk_c6)) % 15.97/16.84 (define @t30 () (@var "X1" $$unsorted)) % 15.97/16.84 (define @t31 () (@var "X5" $$unsorted)) % 15.97/16.84 (define @t32 () (tptp.inverse @t31)) % 15.97/16.84 (define @t33 () (not (= @t32 @t30))) % 15.97/16.84 (define @t34 () (tptp.multiply @t31 @t30)) % 15.97/16.84 (define @t35 () (not (= @t34 tptp.sk_c6))) % 15.97/16.84 (define @t36 () (@var "X2" $$unsorted)) % 15.97/16.84 (define @t37 () (tptp.inverse @t36)) % 15.97/16.84 (define @t38 () (not (= @t37 tptp.sk_c7))) % 15.97/16.84 (define @t39 () (tptp.multiply @t36 tptp.sk_c7)) % 15.97/16.84 (define @t40 () (not (= @t39 @t30))) % 15.97/16.84 (define @t41 () (@var "X4" $$unsorted)) % 15.97/16.84 (define @t42 () (tptp.multiply tptp.sk_c7 @t41)) % 15.97/16.84 (define @t43 () (not (= @t42 tptp.sk_c6))) % 15.97/16.84 (define @t44 () (@var "X3" $$unsorted)) % 15.97/16.84 (define @t45 () (tptp.inverse @t44)) % 15.97/16.84 (define @t46 () (not (= @t45 tptp.sk_c7))) % 15.97/16.84 (define @t47 () (tptp.multiply @t44 tptp.sk_c7)) % 15.97/16.84 (define @t48 () (not (= @t47 tptp.sk_c6))) % 15.97/16.84 (define @t49 () (or @t48 @t46 @t43 @t40 @t38 @t35 @t33)) % 15.97/16.84 (define @t50 () (@list @t44 @t41 @t36 @t30 @t31)) % 15.97/16.84 (define @t51 () (forall @t50 @t49)) % 15.97/16.84 (define @t52 () (tptp.multiply @t14 tptp.sk_c3)) % 15.97/16.84 (define @t53 () (tptp.inverse @t14)) % 15.97/16.84 (define @t54 () (tptp.inverse tptp.identity)) % 15.97/16.84 (define @t55 () (tptp.multiply @t54 tptp.identity)) % 15.97/16.84 (define @t56 () (tptp.inverse @t54)) % 15.97/16.84 (define @t57 () (@list @t54)) % 15.97/16.84 (define @t58 () (@list tptp.sk_c3)) % 15.97/16.84 (define @t59 () (@list tptp.sk_c7)) % 15.97/16.84 (define @t60 () (@list tptp.identity)) % 15.97/16.84 (define @t61 () (= tptp.sk_c7 @t23)) % 15.97/16.84 (define @t62 () (not @t61)) % 15.97/16.84 (define @t63 () (= tptp.sk_c6 @t11)) % 15.97/16.84 (define @t64 () (not @t63)) % 15.97/16.84 (define @t65 () (or @t64 @t62)) % 15.97/16.84 (define @t66 () (not (= tptp.sk_c7 @t45))) % 15.97/16.84 (define @t67 () (not (= tptp.sk_c6 @t47))) % 15.97/16.84 (define @t68 () (or @t67 @t66)) % 15.97/16.84 (define @t69 () (forall (@list @t44) @t68)) % 15.97/16.84 (define @t70 () (@list tptp.sk_c1)) % 15.97/16.84 (define @t71 () (tptp.inverse tptp.sk_c7)) % 15.97/16.84 (define @t72 () (tptp.multiply tptp.identity tptp.identity)) % 15.97/16.84 (define @t73 () (= tptp.identity @t72)) % 15.97/16.84 (define @t74 () (tptp.multiply @t23 tptp.sk_c1)) % 15.97/16.84 (define @t75 () (= tptp.identity @t74)) % 15.97/16.84 (define @t76 () (= @t11 (tptp.multiply tptp.identity @t11))) % 15.97/16.84 (define @t77 () (tptp.multiply tptp.identity tptp.sk_c7)) % 15.97/16.84 (define @t78 () (= tptp.sk_c7 @t77)) % 15.97/16.84 (define @t79 () (tptp.multiply @t71 tptp.sk_c7)) % 15.97/16.84 (define @t80 () (= tptp.identity @t79)) % 15.97/16.84 (define @t81 () (tptp.multiply @t11 tptp.identity)) % 15.97/16.84 (define @t82 () (tptp.multiply @t81 tptp.identity)) % 15.97/16.84 (define @t83 () (= @t82 (tptp.multiply @t11 @t72))) % 15.97/16.84 (define @t84 () (tptp.multiply @t23 @t11)) % 15.97/16.84 (define @t85 () (tptp.multiply @t74 tptp.sk_c7)) % 15.97/16.84 (define @t86 () (= @t85 @t84)) % 15.97/16.84 (define @t87 () (tptp.multiply tptp.sk_c7 @t11)) % 15.97/16.84 (define @t88 () (tptp.multiply @t71 @t87)) % 15.97/16.84 (define @t89 () (tptp.multiply @t79 @t11)) % 15.97/16.84 (define @t90 () (= @t89 @t88)) % 15.97/16.84 (define @t91 () (tptp.multiply tptp.identity @t77)) % 15.97/16.84 (define @t92 () (tptp.multiply @t72 tptp.sk_c7)) % 15.97/16.84 (define @t93 () (= tptp.sk_c6 (tptp.multiply @t81 @t11))) % 15.97/16.84 (define @t94 () (and @t63 @t61 @t73 @t75 @t76 @t78 @t80 @t83 @t86 @t90)) % 15.97/16.84 (define @t95 () (not @t90)) % 15.97/16.84 (define @t96 () (not @t86)) % 15.97/16.84 (define @t97 () (not @t80)) % 15.97/16.84 (define @t98 () (not @t78)) % 15.97/16.84 (define @t99 () (not @t76)) % 15.97/16.84 (define @t100 () (not @t75)) % 15.97/16.84 (define @t101 () (not @t73)) % 15.97/16.84 (define @t102 () (tptp.inverse @t11)) % 15.97/16.84 (define @t103 () (= tptp.identity @t55)) % 15.97/16.84 (define @t104 () (tptp.multiply tptp.identity @t54)) % 15.97/16.84 (define @t105 () (= @t54 @t104)) % 15.97/16.84 (define @t106 () (tptp.multiply @t56 @t54)) % 15.97/16.84 (define @t107 () (= tptp.identity @t106)) % 15.97/16.84 (define @t108 () (= @t102 (tptp.multiply tptp.identity @t102))) % 15.97/16.84 (define @t109 () (tptp.multiply @t56 @t55)) % 15.97/16.84 (define @t110 () (tptp.multiply @t106 tptp.identity)) % 15.97/16.84 (define @t111 () (= @t110 @t109)) % 15.97/16.84 (define @t112 () (tptp.multiply @t56 @t11)) % 15.97/16.84 (define @t113 () (tptp.multiply @t112 @t54)) % 15.97/16.84 (define @t114 () (= @t113 (tptp.multiply @t56 (tptp.multiply @t11 @t54)))) % 15.97/16.84 (define @t115 () (= @t11 (tptp.inverse @t81))) % 15.97/16.84 (define @t116 () (and @t61 @t73 @t103 @t75 @t76 @t78 @t80 @t105 @t107 @t108 @t86 @t90 @t111 @t114)) % 15.97/16.84 (define @t117 () (not @t111)) % 15.97/16.84 (define @t118 () (not @t107)) % 15.97/16.84 (define @t119 () (not @t105)) % 15.97/16.84 (define @t120 () (not @t103)) % 15.97/16.84 (define @t121 () (not @t115)) % 15.97/16.84 (define @t122 () (not @t93)) % 15.97/16.84 (define @t123 () (or @t62 @t122 @t121)) % 15.97/16.84 (define @t124 () (not (= @t39 @t32))) % 15.97/16.84 (define @t125 () (not (= tptp.sk_c6 (tptp.multiply @t31 @t39)))) % 15.97/16.84 (define @t126 () (not (= tptp.sk_c7 @t37))) % 15.97/16.84 (define @t127 () (or @t126 @t125 @t124)) % 15.97/16.84 (define @t128 () (@list @t36 @t31)) % 15.97/16.84 (define @t129 () (forall @t128 @t127)) % 15.97/16.84 (define @t130 () (not (= @t39 @t39))) % 15.97/16.84 (define @t131 () (or @t130 @t126 @t125 @t124)) % 15.97/16.84 (define @t132 () (not (= @t30 @t32))) % 15.97/16.84 (define @t133 () (not (= tptp.sk_c6 @t34))) % 15.97/16.84 (define @t134 () (not (= @t30 @t39))) % 15.97/16.84 (define @t135 () (or @t134 @t134 @t126 @t133 @t132)) % 15.97/16.84 (define @t136 () (@list @t30)) % 15.97/16.84 (define @t137 () (or @t134 @t126 @t133 @t132)) % 15.97/16.84 (define @t138 () (forall @t136 @t137)) % 15.97/16.84 (define @t139 () (forall @t128 @t138)) % 15.97/16.84 (define @t140 () (forall (@list @t36 @t31 @t30) @t137)) % 15.97/16.84 (define @t141 () (forall (@list @t36 @t30 @t31) @t137)) % 15.97/16.84 (define @t142 () (not (= tptp.sk_c6 @t42))) % 15.97/16.84 (define @t143 () (forall (@list @t41) @t142)) % 15.97/16.84 (define @t144 () (or @t69 @t143 @t141)) % 15.97/16.84 (define @t145 () (or @t68 @t142 @t137)) % 15.97/16.84 (define @t146 () (or @t67 @t66 @t142 @t134 @t126 @t133 @t132)) % 15.97/16.84 (define @t147 () (tptp.multiply tptp.sk_c7 tptp.sk_c1)) % 15.97/16.84 (define @t148 () (= tptp.sk_c6 @t147)) % 15.97/16.84 (define @t149 () (and @t63 @t61 @t73 @t75 @t76 @t78 @t80 @t86 @t90)) % 15.97/16.84 (define @t150 () (= tptp.sk_c5 @t9)) % 15.97/16.84 (define @t151 () (= tptp.sk_c7 @t14)) % 15.97/16.84 (define @t152 () (= tptp.sk_c6 @t17)) % 15.97/16.84 (define @t153 () (= tptp.sk_c5 @t20)) % 15.97/16.84 (define @t154 () (@list tptp.sk_c4)) % 15.97/16.84 (define @t155 () (tptp.inverse @t20)) % 15.97/16.84 (define @t156 () (tptp.multiply @t20 tptp.sk_c4)) % 15.97/16.84 (define @t157 () (tptp.multiply tptp.identity tptp.sk_c1)) % 15.97/16.84 (define @t158 () (= tptp.sk_c1 @t157)) % 15.97/16.84 (define @t159 () (tptp.multiply tptp.identity tptp.sk_c3)) % 15.97/16.84 (define @t160 () (= tptp.sk_c3 @t159)) % 15.97/16.84 (define @t161 () (= tptp.identity @t52)) % 15.97/16.84 (define @t162 () (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) % 15.97/16.84 (define @t163 () (tptp.multiply @t53 @t14)) % 15.97/16.84 (define @t164 () (= tptp.identity @t163)) % 15.97/16.84 (define @t165 () (= tptp.identity @t156)) % 15.97/16.84 (define @t166 () (tptp.multiply @t155 @t20)) % 15.97/16.84 (define @t167 () (= tptp.identity @t166)) % 15.97/16.84 (define @t168 () (tptp.multiply @t79 tptp.sk_c1)) % 15.97/16.84 (define @t169 () (= @t168 (tptp.multiply @t71 @t147))) % 15.97/16.84 (define @t170 () (tptp.multiply @t53 @t52)) % 15.97/16.84 (define @t171 () (tptp.multiply @t163 tptp.sk_c3)) % 15.97/16.84 (define @t172 () (= @t171 @t170)) % 15.97/16.84 (define @t173 () (tptp.multiply @t155 @t156)) % 15.97/16.84 (define @t174 () (tptp.multiply @t166 tptp.sk_c4)) % 15.97/16.84 (define @t175 () (= @t174 @t173)) % 15.97/16.84 (define @t176 () (tptp.multiply @t170 tptp.sk_c7)) % 15.97/16.84 (define @t177 () (= @t176 (tptp.multiply @t53 (tptp.multiply @t52 tptp.sk_c7)))) % 15.97/16.84 (define @t178 () (tptp.multiply @t156 tptp.identity)) % 15.97/16.84 (define @t179 () (tptp.multiply @t155 @t178)) % 15.97/16.84 (define @t180 () (tptp.multiply @t173 tptp.identity)) % 15.97/16.84 (define @t181 () (= @t180 @t179)) % 15.97/16.84 (define @t182 () (tptp.multiply @t84 tptp.sk_c1)) % 15.97/16.84 (define @t183 () (= @t182 (tptp.multiply @t23 (tptp.multiply @t11 tptp.sk_c1)))) % 15.97/16.84 (define @t184 () (tptp.multiply tptp.identity @t157)) % 15.97/16.84 (define @t185 () (tptp.multiply @t173 tptp.sk_c5)) % 15.97/16.84 (define @t186 () (tptp.multiply tptp.sk_c4 @t9)) % 15.97/16.84 (define @t187 () (tptp.multiply @t72 tptp.sk_c3)) % 15.97/16.84 (define @t188 () (tptp.multiply tptp.identity @t159)) % 15.97/16.84 (define @t189 () (tptp.multiply @t53 tptp.sk_c7)) % 15.97/16.84 (define @t190 () (tptp.multiply tptp.sk_c4 tptp.identity)) % 15.97/16.84 (define @t191 () (and @t63 @t150 @t151 @t152 @t153 @t73 @t158 @t75 @t78 @t80 @t160 @t161 @t162 @t164 @t165 @t167 @t86 @t169 @t172 @t175 @t177 @t181 @t183)) % 15.97/16.84 (define @t192 () (not @t177)) % 15.97/16.84 (define @t193 () (not @t172)) % 15.97/16.84 (define @t194 () (not @t164)) % 15.97/16.84 (define @t195 () (not @t161)) % 15.97/16.84 (define @t196 () (not @t160)) % 15.97/16.84 (define @t197 () (not @t151)) % 15.97/16.84 (define @t198 () (@list true)) % 15.97/16.84 (define @t199 () (@list @t63)) % 15.97/16.84 (define @t200 () (tptp.multiply @t109 @t54)) % 15.97/16.84 (define @t201 () (= @t200 (tptp.multiply @t56 (tptp.multiply @t55 @t54)))) % 15.97/16.84 (define @t202 () (= @t9 @t54)) % 15.97/16.84 (define @t203 () (and @t151 @t73 @t103 @t78 @t160 @t161 @t164 @t105 @t107 @t172 @t111 @t201 @t177)) % 15.97/16.84 (define @t204 () (= tptp.sk_c6 @t9)) % 15.97/16.84 (define @t205 () (and @t150 @t151 @t152 @t153 @t73 @t78 @t160 @t161 @t162 @t164 @t165 @t167 @t172 @t175 @t177 @t181)) % 15.97/16.84 (define @t206 () (@list false false false false false false false false false false false false false false false false)) % 15.97/16.84 (define @t207 () (@list @t150 @t151 @t152 @t153 @t73 @t78 @t160 @t161 @t162 @t164 @t165 @t167 @t172 @t175 @t177 @t181)) % 15.97/16.84 (define @t208 () (tptp.multiply tptp.identity @t9)) % 15.97/16.84 (define @t209 () (= @t9 @t208)) % 15.97/16.84 (define @t210 () (= tptp.sk_c6 @t208)) % 15.97/16.84 (define @t211 () (and @t209 @t204)) % 15.97/16.84 (define @t212 () (not @t204)) % 15.97/16.84 (define @t213 () (@list false false)) % 15.97/16.84 (define @t214 () (not @t202)) % 15.97/16.84 (define @t215 () (not @t210)) % 15.97/16.84 (define @t216 () (or @t197 @t215 @t214)) % 15.97/16.84 (define @t217 () (not @t216)) % 15.97/16.84 (define @t218 () (or @t212 @t197)) % 15.97/16.84 (define @t219 () (not @t218)) % 15.97/16.84 (define @t220 () (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c3))) % 15.97/16.84 (assume @p1 @t4) % 15.97/16.84 (assume @p2 @t6) % 15.97/16.84 (assume @p3 (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 15.97/16.84 (assume @p4 @t13) % 15.97/16.84 (assume @p5 @t16) % 15.97/16.84 (assume @p6 @t19) % 15.97/16.84 (assume @p7 @t22) % 15.97/16.84 (assume @p8 @t25) % 15.97/16.84 (assume @p9 @t26) % 15.97/16.84 (assume @p10 @t27) % 15.97/16.84 (assume @p11 @t28) % 15.97/16.84 (assume @p12 (or @t29 @t10)) % 15.97/16.84 (assume @p13 (or @t29 @t15)) % 15.97/16.84 (assume @p14 (or @t29 @t18)) % 15.97/16.84 (assume @p15 (or @t29 @t21)) % 15.97/16.84 (assume @p16 @t51) % 15.97/16.84 (step @p17 :rule instantiate :premises (@p3) :args ((@list @t53 @t52 tptp.sk_c7))) % 15.97/16.84 (step @p18 :rule instantiate :premises (@p3) :args ((@list @t56 @t55 @t54))) % 15.97/16.84 (step @p19 :rule instantiate :premises (@p3) :args ((@list @t56 @t54 tptp.identity))) % 15.97/16.84 (step @p20 :rule instantiate :premises (@p3) :args ((@list @t53 @t14 tptp.sk_c3))) % 15.97/16.84 (step @p21 :rule eq-symm :args (@t5 tptp.identity)) % 15.97/16.84 (step @p22 :rule cong :premises (@p21) :args (@t6)) % 15.97/16.84 (step @p23 :rule eq_resolve :premises (@p2 @p22)) % 15.97/16.84 (step @p24 :rule instantiate :premises (@p23) :args (@t57)) % 15.97/16.84 (step @p25 :rule eq-symm :args (@t2 @t1)) % 15.97/16.84 (step @p26 :rule cong :premises (@p25) :args (@t4)) % 15.97/16.84 (step @p27 :rule eq_resolve :premises (@p1 @p26)) % 15.97/16.84 (step @p28 :rule instantiate :premises (@p27) :args (@t57)) % 15.97/16.84 (step @p29 :rule instantiate :premises (@p23) :args ((@list @t14))) % 15.97/16.84 (step @p30 :rule instantiate :premises (@p23) :args (@t58)) % 15.97/16.84 (step @p31 :rule instantiate :premises (@p27) :args (@t58)) % 15.97/16.84 (step @p32 :rule instantiate :premises (@p27) :args (@t59)) % 15.97/16.84 (step @p33 :rule instantiate :premises (@p23) :args (@t60)) % 15.97/16.84 (step @p34 :rule instantiate :premises (@p27) :args (@t60)) % 15.97/16.84 (step @p35 :rule cnf_or_pos :args (@t65)) % 15.97/16.84 (step @p36 :rule reordering :premises (@p35) :args ((or @t64 @t62 (not @t65)))) % 15.97/16.84 (assume-push @p820 @t69) % 15.97/16.84 (step @p38 :rule instantiate :premises (@p820) :args (@t70)) % 15.97/16.84 (step-pop @p821 :rule scope :premises (@p38)) % 15.97/16.84 (step @p39 :rule process_scope :premises (@p821) :args (@t65)) % 15.97/16.84 (step @p41 :rule implies_elim :premises (@p39)) % 15.97/16.84 (step @p42 :rule instantiate :premises (@p23) :args (@t70)) % 15.97/16.84 (step @p43 :rule instantiate :premises (@p27) :args ((@list @t11))) % 15.97/16.84 (step @p44 :rule instantiate :premises (@p23) :args (@t59)) % 15.97/16.84 (step @p45 :rule instantiate :premises (@p3) :args ((@list @t11 tptp.identity tptp.identity))) % 15.97/16.84 (step @p46 :rule instantiate :premises (@p3) :args ((@list @t23 tptp.sk_c1 tptp.sk_c7))) % 15.97/16.84 (step @p47 :rule instantiate :premises (@p3) :args ((@list @t71 tptp.sk_c7 @t11))) % 15.97/16.84 (assume-push @p822 @t63) % 15.97/16.84 (assume-push @p823 @t61) % 15.97/16.84 (assume-push @p824 @t73) % 15.97/16.84 (assume-push @p825 @t75) % 15.97/16.84 (assume-push @p826 @t76) % 15.97/16.84 (assume-push @p827 @t78) % 15.97/16.84 (assume-push @p828 @t80) % 15.97/16.84 (assume-push @p829 @t83) % 15.97/16.84 (assume-push @p830 @t86) % 15.97/16.84 (assume-push @p831 @t90) % 15.97/16.84 (assume-push @p832 @t76) % 15.97/16.84 (assume-push @p833 @t80) % 15.97/16.84 (assume-push @p834 @t90) % 15.97/16.84 (assume-push @p835 @t61) % 15.97/16.84 (assume-push @p836 @t86) % 15.97/16.84 (assume-push @p837 @t75) % 15.97/16.84 (assume-push @p838 @t78) % 15.97/16.84 (assume-push @p839 @t73) % 15.97/16.84 (assume-push @p840 @t83) % 15.97/16.84 (assume-push @p841 @t63) % 15.97/16.84 (step @p68 :rule symm :premises (@p43)) % 15.97/16.84 (step @p69 :rule refl :args (@t11)) % 15.97/16.84 (step @p70 :rule symm :premises (@p44)) % 15.97/16.84 (step @p71 :rule cong :premises (@p70 @p69) :args (@t89)) % 15.97/16.84 (step @p72 :rule symm :premises (@p47)) % 15.97/16.84 (step @p73 :rule symm :premises (@p823)) % 15.97/16.84 (step @p74 :rule cong :premises (@p73 @p69) :args (@t84)) % 15.97/16.84 (step @p75 :rule symm :premises (@p32)) % 15.97/16.84 (step @p76 :rule cong :premises (@p42 @p75) :args (@t91)) % 15.97/16.84 (step @p77 :rule symm :premises (@p34)) % 15.97/16.84 (step @p78 :rule cong :premises (@p77 @p32) :args (@t92)) % 15.97/16.84 (step @p79 :rule refl :args (tptp.sk_c7)) % 15.97/16.84 (step @p80 :rule cong :premises (@p34 @p79) :args (@t77)) % 15.97/16.84 (step @p81 :rule trans :premises (@p32 @p80 @p78 @p76 @p46 @p74)) % 15.97/16.84 (step @p82 :rule refl :args (@t71)) % 15.97/16.84 (step @p83 :rule cong :premises (@p82 @p81) :args (@t79)) % 15.97/16.84 (step @p84 :rule trans :premises (@p44 @p83 @p72 @p71 @p68)) % 15.97/16.84 (step @p85 :rule refl :args (@t81)) % 15.97/16.84 (step @p86 :rule cong :premises (@p85 @p84) :args (@t82)) % 15.97/16.84 (step @p87 :rule symm :premises (@p45)) % 15.97/16.84 (step @p88 :rule cong :premises (@p69 @p34) :args (@t81)) % 15.97/16.84 (step @p89 :rule refl :args (tptp.identity)) % 15.97/16.84 (step @p90 :rule cong :premises (@p84 @p89) :args (@t72)) % 15.97/16.84 (step @p91 :rule symm :premises (@p83)) % 15.97/16.84 (step @p92 :rule symm :premises (@p71)) % 15.97/16.84 (step @p93 :rule trans :premises (@p822 @p43 @p92 @p47 @p91 @p70 @p34 @p90 @p88 @p87 @p86)) % 15.97/16.84 (step-pop @p842 :rule scope :premises (@p93)) % 15.97/16.84 (step-pop @p843 :rule scope :premises (@p842)) % 15.97/16.84 (step-pop @p844 :rule scope :premises (@p843)) % 15.97/16.84 (step-pop @p845 :rule scope :premises (@p844)) % 15.97/16.84 (step-pop @p846 :rule scope :premises (@p845)) % 15.97/16.84 (step-pop @p847 :rule scope :premises (@p846)) % 15.97/16.84 (step-pop @p848 :rule scope :premises (@p847)) % 15.97/16.84 (step-pop @p849 :rule scope :premises (@p848)) % 15.97/16.84 (step-pop @p850 :rule scope :premises (@p849)) % 15.97/16.84 (step-pop @p851 :rule scope :premises (@p850)) % 15.97/16.84 (step @p94 :rule process_scope :premises (@p851) :args (@t93)) % 15.97/16.84 (step @p105 :rule and_intro :premises (@p43 @p44 @p47 @p823 @p46 @p42 @p32 @p34 @p45 @p822)) % 15.97/16.84 (step @p106 :rule modus_ponens :premises (@p105 @p94)) % 15.97/16.84 (step-pop @p852 :rule scope :premises (@p106)) % 15.97/16.84 (step-pop @p853 :rule scope :premises (@p852)) % 15.97/16.84 (step-pop @p854 :rule scope :premises (@p853)) % 15.97/16.84 (step-pop @p855 :rule scope :premises (@p854)) % 15.97/16.84 (step-pop @p856 :rule scope :premises (@p855)) % 15.97/16.84 (step-pop @p857 :rule scope :premises (@p856)) % 15.97/16.84 (step-pop @p858 :rule scope :premises (@p857)) % 15.97/16.84 (step-pop @p859 :rule scope :premises (@p858)) % 15.97/16.84 (step-pop @p860 :rule scope :premises (@p859)) % 15.97/16.84 (step-pop @p861 :rule scope :premises (@p860)) % 15.97/16.84 (step @p107 :rule process_scope :premises (@p861) :args (@t93)) % 15.97/16.84 (step @p118 :rule implies_elim :premises (@p107)) % 15.97/16.84 (step @p119 :rule cnf_and_neg :args (@t94)) % 15.97/16.84 (step @p120 :rule resolution :premises (@p119 @p118) :args (true @t94)) % 15.97/16.84 (step @p121 :rule reordering :premises (@p120) :args ((or @t64 @t62 @t101 @t100 @t99 @t98 @t97 (not @t83) @t96 @t93 @t95))) % 15.97/16.84 (step @p122 :rule instantiate :premises (@p27) :args ((@list @t102))) % 15.97/16.84 (step @p123 :rule instantiate :premises (@p3) :args ((@list @t56 @t11 @t54))) % 15.97/16.84 (assume-push @p862 @t61) % 15.97/16.84 (assume-push @p863 @t73) % 15.97/16.84 (assume-push @p864 @t103) % 15.97/16.84 (assume-push @p865 @t75) % 15.97/16.84 (assume-push @p866 @t76) % 15.97/16.84 (assume-push @p867 @t78) % 15.97/16.84 (assume-push @p868 @t80) % 15.97/16.84 (assume-push @p869 @t105) % 15.97/16.84 (assume-push @p870 @t107) % 15.97/16.84 (assume-push @p871 @t108) % 15.97/16.84 (assume-push @p872 @t86) % 15.97/16.84 (assume-push @p873 @t90) % 15.97/16.84 (assume-push @p874 @t111) % 15.97/16.84 (assume-push @p875 @t114) % 15.97/16.84 (assume-push @p876 @t76) % 15.97/16.84 (assume-push @p877 @t80) % 15.97/16.84 (assume-push @p878 @t90) % 15.97/16.84 (assume-push @p879 @t61) % 15.97/16.84 (assume-push @p880 @t86) % 15.97/16.84 (assume-push @p881 @t75) % 15.97/16.84 (assume-push @p882 @t78) % 15.97/16.84 (assume-push @p883 @t73) % 15.97/16.84 (assume-push @p884 @t108) % 15.97/16.84 (assume-push @p885 @t107) % 15.97/16.84 (assume-push @p886 @t111) % 15.97/16.84 (assume-push @p887 @t103) % 15.97/16.84 (assume-push @p888 @t114) % 15.97/16.84 (assume-push @p889 @t105) % 15.97/16.84 (step @p89 :rule refl :args (tptp.identity)) % 15.97/16.84 (step @p68 :rule symm :premises (@p43)) % 15.97/16.84 (step @p69 :rule refl :args (@t11)) % 15.97/16.84 (step @p70 :rule symm :premises (@p44)) % 15.97/16.84 (step @p71 :rule cong :premises (@p70 @p69) :args (@t89)) % 15.97/16.84 (step @p72 :rule symm :premises (@p47)) % 15.97/16.84 (step @p152 :rule symm :premises (@p862)) % 15.97/16.84 (step @p153 :rule cong :premises (@p152 @p69) :args (@t84)) % 15.97/16.84 (step @p75 :rule symm :premises (@p32)) % 15.97/16.84 (step @p76 :rule cong :premises (@p42 @p75) :args (@t91)) % 15.97/16.84 (step @p77 :rule symm :premises (@p34)) % 15.97/16.84 (step @p78 :rule cong :premises (@p77 @p32) :args (@t92)) % 15.97/16.84 (step @p79 :rule refl :args (tptp.sk_c7)) % 15.97/16.84 (step @p80 :rule cong :premises (@p34 @p79) :args (@t77)) % 15.97/16.84 (step @p154 :rule trans :premises (@p32 @p80 @p78 @p76 @p46 @p153)) % 15.97/16.84 (step @p82 :rule refl :args (@t71)) % 15.97/16.84 (step @p155 :rule cong :premises (@p82 @p154) :args (@t79)) % 15.97/16.84 (step @p156 :rule trans :premises (@p44 @p155 @p72 @p71 @p68)) % 15.97/16.84 (step @p157 :rule cong :premises (@p156 @p89) :args (@t72)) % 15.97/16.84 (step @p158 :rule trans :premises (@p34 @p157)) % 15.97/16.84 (step @p159 :rule cong :premises (@p158) :args (@t54)) % 15.97/16.84 (step @p160 :rule symm :premises (@p156)) % 15.97/16.84 (step @p161 :rule cong :premises (@p160) :args (@t102)) % 15.97/16.84 (step @p162 :rule symm :premises (@p122)) % 15.97/16.84 (step @p163 :rule symm :premises (@p161)) % 15.97/16.84 (step @p164 :rule symm :premises (@p24)) % 15.97/16.84 (step @p165 :rule cong :premises (@p164 @p89) :args (@t110)) % 15.97/16.84 (step @p166 :rule symm :premises (@p19)) % 15.97/16.84 (step @p167 :rule symm :premises (@p155)) % 15.97/16.84 (step @p92 :rule symm :premises (@p71)) % 15.97/16.84 (step @p168 :rule trans :premises (@p43 @p92 @p47 @p167 @p70 @p33)) % 15.97/16.84 (step @p169 :rule refl :args (@t56)) % 15.97/16.84 (step @p170 :rule cong :premises (@p169 @p168) :args (@t112)) % 15.97/16.84 (step @p171 :rule trans :premises (@p170 @p166 @p165 @p77)) % 15.97/16.84 (step @p172 :rule cong :premises (@p171 @p163) :args (@t113)) % 15.97/16.84 (step @p173 :rule symm :premises (@p123)) % 15.97/16.84 (step @p174 :rule refl :args (@t54)) % 15.97/16.84 (step @p175 :rule cong :premises (@p156 @p174) :args (@t104)) % 15.97/16.84 (step @p176 :rule trans :premises (@p28 @p175)) % 15.97/16.84 (step @p177 :rule cong :premises (@p169 @p176) :args (@t106)) % 15.97/16.84 (step @p178 :rule trans :premises (@p43 @p92 @p47 @p167 @p70 @p24 @p177 @p173 @p172 @p162 @p161 @p159)) % 15.97/16.84 (step-pop @p890 :rule scope :premises (@p178)) % 15.97/16.84 (step-pop @p891 :rule scope :premises (@p890)) % 15.97/16.84 (step-pop @p892 :rule scope :premises (@p891)) % 15.97/16.84 (step-pop @p893 :rule scope :premises (@p892)) % 15.97/16.84 (step-pop @p894 :rule scope :premises (@p893)) % 15.97/16.84 (step-pop @p895 :rule scope :premises (@p894)) % 15.97/16.84 (step-pop @p896 :rule scope :premises (@p895)) % 15.97/16.84 (step-pop @p897 :rule scope :premises (@p896)) % 15.97/16.84 (step-pop @p898 :rule scope :premises (@p897)) % 15.97/16.84 (step-pop @p899 :rule scope :premises (@p898)) % 15.97/16.84 (step-pop @p900 :rule scope :premises (@p899)) % 15.97/16.84 (step-pop @p901 :rule scope :premises (@p900)) % 15.97/16.84 (step-pop @p902 :rule scope :premises (@p901)) % 15.97/16.84 (step-pop @p903 :rule scope :premises (@p902)) % 15.97/16.84 (step @p179 :rule process_scope :premises (@p903) :args (@t115)) % 15.97/16.84 (step @p194 :rule and_intro :premises (@p43 @p44 @p47 @p862 @p46 @p42 @p32 @p34 @p122 @p24 @p19 @p33 @p123 @p28)) % 15.97/16.84 (step @p195 :rule modus_ponens :premises (@p194 @p179)) % 15.97/16.84 (step-pop @p904 :rule scope :premises (@p195)) % 15.97/16.84 (step-pop @p905 :rule scope :premises (@p904)) % 15.97/16.84 (step-pop @p906 :rule scope :premises (@p905)) % 15.97/16.84 (step-pop @p907 :rule scope :premises (@p906)) % 15.97/16.84 (step-pop @p908 :rule scope :premises (@p907)) % 15.97/16.84 (step-pop @p909 :rule scope :premises (@p908)) % 15.97/16.84 (step-pop @p910 :rule scope :premises (@p909)) % 15.97/16.84 (step-pop @p911 :rule scope :premises (@p910)) % 15.97/16.84 (step-pop @p912 :rule scope :premises (@p911)) % 15.97/16.84 (step-pop @p913 :rule scope :premises (@p912)) % 15.97/16.84 (step-pop @p914 :rule scope :premises (@p913)) % 15.97/16.84 (step-pop @p915 :rule scope :premises (@p914)) % 15.97/16.84 (step-pop @p916 :rule scope :premises (@p915)) % 15.97/16.84 (step-pop @p917 :rule scope :premises (@p916)) % 15.97/16.84 (step @p196 :rule process_scope :premises (@p917) :args (@t115)) % 15.97/16.84 (step @p211 :rule implies_elim :premises (@p196)) % 15.97/16.84 (step @p212 :rule cnf_and_neg :args (@t116)) % 15.97/16.84 (step @p213 :rule resolution :premises (@p212 @p211) :args (true @t116)) % 15.97/16.84 (step @p214 :rule reordering :premises (@p213) :args ((or @t62 @t101 @t120 @t100 @t99 @t98 @t97 @t119 @t118 (not @t108) @t96 @t115 @t95 @t117 (not @t114)))) % 15.97/16.84 (step @p215 :rule cnf_or_pos :args (@t123)) % 15.97/16.84 (step @p216 :rule reordering :premises (@p215) :args ((or @t62 @t122 @t121 (not @t123)))) % 15.97/16.84 (assume-push @p918 @t129) % 15.97/16.84 (step @p218 :rule instantiate :premises (@p918) :args ((@list tptp.sk_c1 @t81))) % 15.97/16.84 (step-pop @p919 :rule scope :premises (@p218)) % 15.97/16.84 (step @p219 :rule process_scope :premises (@p919) :args (@t123)) % 15.97/16.84 (step @p221 :rule implies_elim :premises (@p219)) % 15.97/16.84 (step @p222 :rule aci_norm :args ((= (or false @t126 @t125 @t124) @t127))) % 15.97/16.84 (step @p223 :rule refl :args (@t124)) % 15.97/16.84 (step @p224 :rule refl :args (@t125)) % 15.97/16.84 (step @p225 :rule refl :args (@t126)) % 15.97/16.84 (step @p226 :rule evaluate :args ((not true))) % 15.97/16.84 (step @p227 :rule eq-refl :args (@t39)) % 15.97/16.84 (step @p228 :rule cong :premises (@p227) :args (@t130)) % 15.97/16.84 (step @p229 :rule trans :premises (@p228 @p226)) % 15.97/16.84 (step @p230 :rule nary_cong :premises (@p229 @p225 @p224 @p223) :args (@t131)) % 15.97/16.84 (step @p231 :rule trans :premises (@p230 @p222)) % 15.97/16.84 (step @p232 :rule cong :premises (@p231) :args ((forall @t128 @t131))) % 15.97/16.84 (step @p233 :rule quant-var-elim-eq :args ((= (forall @t136 @t135) @t131))) % 15.97/16.84 (step @p234 :rule aci_norm :args ((= @t137 @t135))) % 15.97/16.84 (step @p235 :rule cong :premises (@p234) :args (@t138)) % 15.97/16.84 (step @p236 :rule trans :premises (@p235 @p233)) % 15.97/16.84 (step @p237 :rule cong :premises (@p236) :args (@t139)) % 15.97/16.84 (step @p238 :rule quant-merge-prenex :args ((= @t139 @t140))) % 15.97/16.84 (step @p239 :rule symm :premises (@p238)) % 15.97/16.84 (step @p240 :rule quant_var_reordering :args ((= @t141 @t140))) % 15.97/16.84 (step @p241 :rule trans :premises (@p240 @p239 @p237)) % 15.97/16.84 (step @p242 :rule trans :premises (@p241 @p232)) % 15.97/16.84 (step @p243 :rule refl :args (@t143)) % 15.97/16.84 (step @p244 :rule refl :args (@t69)) % 15.97/16.84 (step @p245 :rule nary_cong :premises (@p244 @p243 @p242) :args (@t144)) % 15.97/16.84 (step @p246 :rule quant-miniscope-or :args ((= (forall @t50 @t145) @t144))) % 15.97/16.84 (step @p247 :rule aci_norm :args ((= @t146 @t145))) % 15.97/16.84 (step @p248 :rule cong :premises (@p247) :args ((forall @t50 @t146))) % 15.97/16.84 (step @p249 :rule trans :premises (@p248 @p246)) % 15.97/16.84 (step @p250 :rule trans :premises (@p249 @p245)) % 15.97/16.84 (step @p251 :rule eq-symm :args (@t32 @t30)) % 15.97/16.84 (step @p252 :rule cong :premises (@p251) :args (@t33)) % 15.97/16.84 (step @p253 :rule eq-symm :args (@t34 tptp.sk_c6)) % 15.97/16.84 (step @p254 :rule cong :premises (@p253) :args (@t35)) % 15.97/16.84 (step @p255 :rule eq-symm :args (@t37 tptp.sk_c7)) % 15.97/16.84 (step @p256 :rule cong :premises (@p255) :args (@t38)) % 15.97/16.84 (step @p257 :rule eq-symm :args (@t39 @t30)) % 15.97/16.84 (step @p258 :rule cong :premises (@p257) :args (@t40)) % 15.97/16.84 (step @p259 :rule eq-symm :args (@t42 tptp.sk_c6)) % 15.97/16.84 (step @p260 :rule cong :premises (@p259) :args (@t43)) % 15.97/16.84 (step @p261 :rule eq-symm :args (@t45 tptp.sk_c7)) % 15.97/16.84 (step @p262 :rule cong :premises (@p261) :args (@t46)) % 15.97/16.84 (step @p263 :rule eq-symm :args (@t47 tptp.sk_c6)) % 15.97/16.84 (step @p264 :rule cong :premises (@p263) :args (@t48)) % 15.97/16.84 (step @p265 :rule nary_cong :premises (@p264 @p262 @p260 @p258 @p256 @p254 @p252) :args (@t49)) % 15.97/16.84 (step @p266 :rule cong :premises (@p265) :args (@t51)) % 15.97/16.84 (step @p267 :rule trans :premises (@p266 @p250)) % 15.97/16.84 (step @p268 :rule eq_resolve :premises (@p16 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@p1137 :rule scope :premises (@p1136)) % 15.97/16.84 (step-pop @p1138 :rule scope :premises (@p1137)) % 15.97/16.84 (step-pop @p1139 :rule scope :premises (@p1138)) % 15.97/16.84 (step-pop @p1140 :rule scope :premises (@p1139)) % 15.97/16.84 (step-pop @p1141 :rule scope :premises (@p1140)) % 15.97/16.84 (step-pop @p1142 :rule scope :premises (@p1141)) % 15.97/16.84 (step-pop @p1143 :rule scope :premises (@p1142)) % 15.97/16.84 (step-pop @p1144 :rule scope :premises (@p1143)) % 15.97/16.84 (step-pop @p1145 :rule scope :premises (@p1144)) % 15.97/16.84 (step-pop @p1146 :rule scope :premises (@p1145)) % 15.97/16.84 (step-pop @p1147 :rule scope :premises (@p1146)) % 15.97/16.84 (step-pop @p1148 :rule scope :premises (@p1147)) % 15.97/16.84 (step-pop @p1149 :rule scope :premises (@p1148)) % 15.97/16.84 (step @p654 :rule process_scope :premises (@p1149) :args (@t204)) % 15.97/16.84 (step @p671 :rule and_intro :premises (@p31 @p34 @p29 @p20 @p17 @p30 @p32 @p1103 @p350 @p1105 @p1102 @p349 @p353 @p352 @p348 @p1104)) % 15.97/16.84 (step @p672 :rule modus_ponens :premises (@p671 @p654)) % 15.97/16.84 (step-pop @p1150 :rule scope :premises (@p672)) % 15.97/16.84 (step-pop @p1151 :rule scope :premises (@p1150)) % 15.97/16.84 (step-pop @p1152 :rule scope :premises (@p1151)) % 15.97/16.84 (step-pop @p1153 :rule scope :premises (@p1152)) % 15.97/16.84 (step-pop @p1154 :rule scope :premises (@p1153)) % 15.97/16.84 (step-pop @p1155 :rule scope :premises (@p1154)) % 15.97/16.84 (step-pop @p1156 :rule scope :premises (@p1155)) % 15.97/16.84 (step-pop @p1157 :rule scope :premises (@p1156)) % 15.97/16.84 (step-pop @p1158 :rule scope :premises (@p1157)) % 15.97/16.84 (step-pop @p1159 :rule scope :premises (@p1158)) % 15.97/16.84 (step-pop @p1160 :rule scope :premises (@p1159)) % 15.97/16.84 (step-pop @p1161 :rule scope :premises (@p1160)) % 15.97/16.84 (step-pop @p1162 :rule scope :premises (@p1161)) % 15.97/16.84 (step-pop @p1163 :rule scope :premises (@p1162)) % 15.97/16.84 (step-pop @p1164 :rule scope :premises (@p1163)) % 15.97/16.84 (step-pop @p1165 :rule scope :premises (@p1164)) % 15.97/16.84 (step @p673 :rule process_scope :premises (@p1165) :args (@t204)) % 15.97/16.84 (step @p690 :rule implies_elim :premises (@p673)) % 15.97/16.84 (step @p691 :rule cnf_and_neg :args (@t205)) % 15.97/16.84 (step @p692 :rule resolution :premises (@p691 @p690) :args (true @t205)) % 15.97/16.84 (step @p693 :rule chain_m_resolution :premises (@p692 @p606 @p527 @p603 @p600 @p34 @p32 @p31 @p30 @p348 @p29 @p349 @p350 @p20 @p352 @p17 @p353) :args (@t204 @t206 @t207)) % 15.97/16.84 (step @p694 :rule instantiate :premises (@p27) :args ((@list @t9))) % 15.97/16.84 (assume-push @p1166 @t209) % 15.97/16.84 (assume-push @p1167 @t204) % 15.97/16.84 (assume-push @p1168 @t209) % 15.97/16.84 (assume-push @p1169 @t204) % 15.97/16.84 (step @p699 :rule trans :premises (@p1167 @p694)) % 15.97/16.84 (step-pop @p1170 :rule scope :premises (@p699)) % 15.97/16.84 (step-pop @p1171 :rule scope :premises (@p1170)) % 15.97/16.84 (step @p700 :rule process_scope :premises (@p1171) :args (@t210)) % 15.97/16.84 (step @p703 :rule and_intro :premises (@p694 @p1167)) % 15.97/16.84 (step @p704 :rule modus_ponens :premises (@p703 @p700)) % 15.97/16.84 (step-pop @p1172 :rule scope :premises (@p704)) % 15.97/16.84 (step-pop @p1173 :rule scope :premises (@p1172)) % 15.97/16.84 (step @p705 :rule process_scope :premises (@p1173) :args (@t210)) % 15.97/16.84 (step @p708 :rule implies_elim :premises (@p705)) % 15.97/16.84 (step @p709 :rule cnf_and_neg :args (@t211)) % 15.97/16.84 (step @p710 :rule resolution :premises (@p709 @p708) :args (true @t211)) % 15.97/16.84 (step @p711 :rule reordering :premises (@p710) :args ((or @t210 (not @t209) @t212))) % 15.97/16.84 (step @p712 :rule chain_m_resolution :premises (@p711 @p694 @p693) :args (@t210 @t213 (@list @t209 @t204))) % 15.97/16.84 (step @p713 :rule cnf_or_pos :args (@t216)) % 15.97/16.84 (step @p714 :rule reordering :premises (@p713) :args ((or @t197 @t215 @t214 @t217))) % 15.97/16.84 (step @p715 :rule chain_m_resolution :premises (@p714 @p527 @p712 @p597) :args (@t217 (@list false false false) (@list @t151 @t210 @t202))) % 15.97/16.84 (assume-push @p1174 @t129) % 15.97/16.84 (step @p717 :rule instantiate :premises (@p1174) :args ((@list tptp.sk_c3 tptp.identity))) % 15.97/16.84 (step-pop @p1175 :rule scope :premises (@p717)) % 15.97/16.84 (step @p718 :rule process_scope :premises (@p1175) :args (@t216)) % 15.97/16.84 (step @p720 :rule implies_elim :premises (@p718)) % 15.97/16.84 (step @p721 :rule chain_m_resolution :premises (@p720 @p715) :args ((not @t129) @t198 (@list @t216))) % 15.97/16.84 (step @p722 :rule cnf_or_pos :args (@t218)) % 15.97/16.84 (step @p723 :rule reordering :premises (@p722) :args ((or @t197 @t212 @t219))) % 15.97/16.84 (step @p724 :rule chain_m_resolution :premises (@p723 @p527 @p693) :args (@t219 @t213 (@list @t151 @t204))) % 15.97/16.84 (assume-push @p1176 @t69) % 15.97/16.84 (step @p726 :rule instantiate :premises (@p1176) :args (@t58)) % 15.97/16.84 (step-pop @p1177 :rule scope :premises (@p726)) % 15.97/16.84 (step @p727 :rule process_scope :premises (@p1177) :args (@t218)) % 15.97/16.84 (step @p729 :rule implies_elim :premises (@p727)) % 15.97/16.84 (step @p730 :rule chain_m_resolution :premises (@p729 @p724) :args ((not @t69) @t198 (@list @t218))) % 15.97/16.84 (step @p731 :rule chain_m_resolution :premises (@p268 @p730 @p721) :args (@t143 (@list true true) (@list @t69 @t129))) % 15.97/16.84 (assume-push @p1178 @t150) % 15.97/16.84 (assume-push @p1179 @t151) % 15.97/16.84 (assume-push @p1180 @t152) % 15.97/16.84 (assume-push @p1181 @t153) % 15.97/16.84 (assume-push @p1182 @t73) % 15.97/16.84 (assume-push @p1183 @t78) % 15.97/16.84 (assume-push @p1184 @t160) % 15.97/16.84 (assume-push @p1185 @t161) % 15.97/16.84 (assume-push @p1186 @t162) % 15.97/16.84 (assume-push @p1187 @t164) % 15.97/16.84 (assume-push @p1188 @t165) % 15.97/16.84 (assume-push @p1189 @t167) % 15.97/16.84 (assume-push @p1190 @t172) % 15.97/16.84 (assume-push @p1191 @t175) % 15.97/16.84 (assume-push @p1192 @t177) % 15.97/16.84 (assume-push @p1193 @t181) % 15.97/16.84 (assume-push @p1194 @t151) % 15.97/16.84 (assume-push @p1195 @t161) % 15.97/16.84 (assume-push @p1196 @t167) % 15.97/16.84 (assume-push @p1197 @t153) % 15.97/16.84 (assume-push @p1198 @t150) % 15.97/16.84 (assume-push @p1199 @t160) % 15.97/16.84 (assume-push @p1200 @t73) % 15.97/16.84 (assume-push @p1201 @t164) % 15.97/16.84 (assume-push @p1202 @t172) % 15.97/16.84 (assume-push @p1203 @t177) % 15.97/16.84 (assume-push @p1204 @t78) % 15.97/16.84 (assume-push @p1205 @t165) % 15.97/16.84 (assume-push @p1206 @t181) % 15.97/16.84 (assume-push @p1207 @t175) % 15.97/16.84 (assume-push @p1208 @t162) % 15.97/16.84 (assume-push @p1209 @t152) % 15.97/16.84 (step @p422 :rule refl :args (tptp.sk_c3)) % 15.97/16.84 (step @p764 :rule symm :premises (@p1179)) % 15.97/16.84 (step @p765 :rule cong :premises (@p764 @p422) :args (@t52)) % 15.97/16.84 (step @p413 :rule symm :premises (@p350)) % 15.97/16.84 (step @p766 :rule symm :premises (@p1178)) % 15.97/16.84 (step @p79 :rule refl :args (tptp.sk_c7)) % 15.97/16.84 (step @p421 :rule symm :premises (@p31)) % 15.97/16.84 (step @p77 :rule symm :premises (@p34)) % 15.97/16.84 (step @p423 :rule cong :premises (@p77 @p422) :args (@t187)) % 15.97/16.84 (step @p424 :rule cong :premises (@p34 @p421) :args (@t188)) % 15.97/16.84 (step @p425 :rule symm :premises (@p29)) % 15.97/16.84 (step @p426 :rule cong :premises (@p425 @p31) :args (@t171)) % 15.97/16.84 (step @p427 :rule symm :premises (@p20)) % 15.97/16.84 (step @p428 :rule trans :premises (@p427 @p426 @p424 @p423 @p421)) % 15.97/16.84 (step @p429 :rule cong :premises (@p428 @p79) :args (@t176)) % 15.97/16.84 (step @p430 :rule symm :premises (@p17)) % 15.97/16.84 (step @p75 :rule symm :premises (@p32)) % 15.97/16.84 (step @p431 :rule cong :premises (@p30 @p75) :args (@t91)) % 15.97/16.84 (step @p78 :rule cong :premises (@p77 @p32) :args (@t92)) % 15.97/16.84 (step @p80 :rule cong :premises (@p34 @p79) :args (@t77)) % 15.97/16.84 (step @p432 :rule trans :premises (@p32 @p80 @p78 @p431)) % 15.97/16.84 (step @p433 :rule refl :args (@t53)) % 15.97/16.84 (step @p434 :rule cong :premises (@p433 @p432) :args (@t189)) % 15.97/16.84 (step @p767 :rule cong :premises (@p433 @p764) :args (@t163)) % 15.97/16.84 (step @p442 :rule symm :premises (@p349)) % 15.97/16.84 (step @p768 :rule trans :premises (@p442 @p29 @p767 @p434 @p430 @p429 @p766 @p1181)) % 15.97/16.84 (step @p444 :rule refl :args (@t155)) % 15.97/16.84 (step @p769 :rule cong :premises (@p444 @p768) :args (@t173)) % 15.97/16.84 (step @p89 :rule refl :args (tptp.identity)) % 15.97/16.84 (step @p644 :rule cong :premises (@p442 @p89) :args (@t178)) % 15.97/16.84 (step @p645 :rule trans :premises (@p644 @p77 @p349)) % 15.97/16.84 (step @p646 :rule cong :premises (@p444 @p645) :args (@t179)) % 15.97/16.84 (step @p411 :rule symm :premises (@p348)) % 15.97/16.84 (step @p412 :rule refl :args (tptp.sk_c4)) % 15.97/16.84 (step @p414 :rule cong :premises (@p413 @p412) :args (@t174)) % 15.97/16.84 (step @p415 :rule symm :premises (@p352)) % 15.97/16.84 (step @p416 :rule trans :premises (@p415 @p414 @p411)) % 15.97/16.84 (step @p419 :rule symm :premises (@p416)) % 15.97/16.84 (step @p647 :rule cong :premises (@p419 @p89) :args (@t190)) % 15.97/16.84 (step @p770 :rule symm :premises (@p767)) % 15.97/16.84 (step @p447 :rule symm :premises (@p434)) % 15.97/16.84 (step @p448 :rule symm :premises (@p429)) % 15.97/16.84 (step @p771 :rule trans :premises (@p448 @p17 @p447 @p770 @p425)) % 15.97/16.84 (step @p772 :rule cong :premises (@p412 @p771) :args (@t186)) % 15.97/16.84 (step @p773 :rule cong :premises (@p416 @p1178) :args (@t185)) % 15.97/16.84 (step @p410 :rule refl :args (tptp.sk_c5)) % 15.97/16.84 (step @p652 :rule cong :premises (@p419 @p410) :args (@t17)) % 15.97/16.84 (step @p774 :rule trans :premises (@p1180 @p652 @p773 @p772 @p647 @p353 @p646 @p769 @p413 @p30 @p765)) % 15.97/16.84 (step-pop @p1210 :rule scope :premises (@p774)) % 15.97/16.84 (step-pop @p1211 :rule scope :premises (@p1210)) % 15.97/16.84 (step-pop @p1212 :rule scope :premises (@p1211)) % 15.97/16.84 (step-pop @p1213 :rule scope :premises (@p1212)) % 15.97/16.84 (step-pop @p1214 :rule scope :premises (@p1213)) % 15.97/16.84 (step-pop @p1215 :rule scope :premises (@p1214)) % 15.97/16.84 (step-pop @p1216 :rule scope :premises (@p1215)) % 15.97/16.84 (step-pop @p1217 :rule scope :premises (@p1216)) % 15.97/16.84 (step-pop @p1218 :rule scope :premises (@p1217)) % 15.97/16.84 (step-pop @p1219 :rule scope :premises (@p1218)) % 15.97/16.84 (step-pop @p1220 :rule scope :premises (@p1219)) % 15.97/16.84 (step-pop @p1221 :rule scope :premises (@p1220)) % 15.97/16.84 (step-pop @p1222 :rule scope :premises (@p1221)) % 15.97/16.84 (step-pop @p1223 :rule scope :premises (@p1222)) % 15.97/16.84 (step-pop @p1224 :rule scope :premises (@p1223)) % 15.97/16.84 (step-pop @p1225 :rule scope :premises (@p1224)) % 15.97/16.84 (step @p775 :rule process_scope :premises (@p1225) :args (@t220)) % 15.97/16.84 (step @p792 :rule and_intro :premises (@p1179 @p30 @p350 @p1181 @p1178 @p31 @p34 @p29 @p20 @p17 @p32 @p349 @p353 @p352 @p348 @p1180)) % 15.97/16.84 (step @p793 :rule modus_ponens :premises (@p792 @p775)) % 15.97/16.84 (step-pop @p1226 :rule scope :premises (@p793)) % 15.97/16.84 (step-pop @p1227 :rule scope :premises (@p1226)) % 15.97/16.84 (step-pop @p1228 :rule scope :premises (@p1227)) % 15.97/16.84 (step-pop @p1229 :rule scope :premises (@p1228)) % 15.97/16.84 (step-pop @p1230 :rule scope :premises (@p1229)) % 15.97/16.84 (step-pop @p1231 :rule scope :premises (@p1230)) % 15.97/16.84 (step-pop @p1232 :rule scope :premises (@p1231)) % 15.97/16.84 (step-pop @p1233 :rule scope :premises (@p1232)) % 15.97/16.84 (step-pop @p1234 :rule scope :premises (@p1233)) % 15.97/16.84 (step-pop @p1235 :rule scope :premises (@p1234)) % 15.97/16.84 (step-pop @p1236 :rule scope :premises (@p1235)) % 15.97/16.84 (step-pop @p1237 :rule scope :premises (@p1236)) % 15.97/16.84 (step-pop @p1238 :rule scope :premises (@p1237)) % 15.97/16.84 (step-pop @p1239 :rule scope :premises (@p1238)) % 15.97/16.84 (step-pop @p1240 :rule scope :premises (@p1239)) % 15.97/16.84 (step-pop @p1241 :rule scope :premises (@p1240)) % 15.97/16.84 (step @p794 :rule process_scope :premises (@p1241) :args (@t220)) % 15.97/16.84 (step @p811 :rule implies_elim :premises (@p794)) % 15.97/16.84 (step @p812 :rule resolution :premises (@p691 @p811) :args (true @t205)) % 15.97/16.84 (step @p813 :rule chain_m_resolution :premises (@p812 @p606 @p527 @p603 @p600 @p34 @p32 @p31 @p30 @p348 @p29 @p349 @p350 @p20 @p352 @p17 @p353) :args (@t220 @t206 @t207)) % 15.97/16.84 (assume-push @p1242 @t143) % 15.97/16.84 (step @p815 :rule instantiate :premises (@p1242) :args (@t58)) % 15.97/16.84 (step-pop @p1243 :rule scope :premises (@p815)) % 15.97/16.84 (step @p816 :rule process_scope :premises (@p1243) :args ((not @t220))) % 15.97/16.84 (step @p818 :rule implies_elim :premises (@p816)) % 15.97/16.84 (step @p819 false :rule chain_m_resolution :premises (@p818 @p813 @p731) :args (false @t213 (@list @t220 @t143))) % 15.97/16.84 ) % 15.97/16.84 % SZS output end Proof % 15.97/16.84 % cvc5 exiting %------------------------------------------------------------------------------