%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP233-1 : 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 : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:20:16 AM UTC 2026 % Result : Unsatisfiable 1.24s 1.41s % Output : Proof 1.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP233-1 : 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 % 0.17/0.33 % Computer : n015.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.33 % CPULimit : 300 % 0.17/0.33 % WCLimit : 300 % 0.17/0.33 % DateTime : Tue Jun 2 00:59:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.24/1.41 % SZS status Unsatisfiable % 1.24/1.41 % SZS output start Proof % 1.24/1.44 ( % 1.24/1.44 (declare-sort $$unsorted 0) % 1.24/1.44 (declare-const tptp.sk_c2 $$unsorted) % 1.24/1.44 (declare-const tptp.sk_c1 $$unsorted) % 1.24/1.44 (declare-const tptp.sk_c3 $$unsorted) % 1.24/1.44 (declare-const tptp.sk_c6 $$unsorted) % 1.24/1.44 (declare-const tptp.sk_c7 $$unsorted) % 1.24/1.44 (declare-const tptp.sk_c5 $$unsorted) % 1.24/1.44 (declare-const tptp.sk_c4 $$unsorted) % 1.24/1.44 (declare-const tptp.sk_c8 $$unsorted) % 1.24/1.44 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 1.24/1.44 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 1.24/1.44 (declare-const tptp.identity $$unsorted) % 1.24/1.44 (define @t1 () (@var "X" $$unsorted)) % 1.24/1.44 (define @t2 () (tptp.multiply tptp.identity @t1)) % 1.24/1.44 (define @t3 () (@list @t1)) % 1.24/1.44 (define @t4 () (forall @t3 (= @t2 @t1))) % 1.24/1.44 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 1.24/1.44 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 1.24/1.44 (define @t7 () (@var "Z" $$unsorted)) % 1.24/1.44 (define @t8 () (@var "Y" $$unsorted)) % 1.24/1.44 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 1.24/1.44 (define @t10 () (tptp.inverse tptp.sk_c4)) % 1.24/1.44 (define @t11 () (= @t10 tptp.sk_c8)) % 1.24/1.44 (define @t12 () (tptp.inverse tptp.sk_c8)) % 1.24/1.44 (define @t13 () (= @t12 tptp.sk_c7)) % 1.24/1.44 (define @t14 () (or @t13 @t11)) % 1.24/1.44 (define @t15 () (tptp.multiply tptp.sk_c4 tptp.sk_c7)) % 1.24/1.44 (define @t16 () (= @t15 tptp.sk_c8)) % 1.24/1.44 (define @t17 () (or @t13 @t16)) % 1.24/1.44 (define @t18 () (tptp.multiply tptp.sk_c8 tptp.sk_c6)) % 1.24/1.44 (define @t19 () (= @t18 tptp.sk_c7)) % 1.24/1.44 (define @t20 () (or @t13 @t19)) % 1.24/1.44 (define @t21 () (tptp.multiply tptp.sk_c5 tptp.sk_c8)) % 1.24/1.44 (define @t22 () (= @t21 tptp.sk_c6)) % 1.24/1.44 (define @t23 () (or @t13 @t22)) % 1.24/1.44 (define @t24 () (tptp.inverse tptp.sk_c5)) % 1.24/1.44 (define @t25 () (= @t24 tptp.sk_c8)) % 1.24/1.44 (define @t26 () (or @t13 @t25)) % 1.24/1.44 (define @t27 () (tptp.multiply tptp.sk_c1 tptp.sk_c8)) % 1.24/1.44 (define @t28 () (= @t27 tptp.sk_c7)) % 1.24/1.44 (define @t29 () (or @t28 @t11)) % 1.24/1.44 (define @t30 () (or @t28 @t16)) % 1.24/1.44 (define @t31 () (or @t28 @t19)) % 1.24/1.44 (define @t32 () (or @t28 @t22)) % 1.24/1.44 (define @t33 () (or @t28 @t25)) % 1.24/1.44 (define @t34 () (tptp.inverse tptp.sk_c1)) % 1.24/1.44 (define @t35 () (= @t34 tptp.sk_c8)) % 1.24/1.44 (define @t36 () (or @t35 @t11)) % 1.24/1.44 (define @t37 () (or @t35 @t16)) % 1.24/1.44 (define @t38 () (or @t35 @t19)) % 1.24/1.44 (define @t39 () (or @t35 @t22)) % 1.24/1.44 (define @t40 () (or @t35 @t25)) % 1.24/1.44 (define @t41 () (tptp.multiply tptp.sk_c8 tptp.sk_c3)) % 1.24/1.44 (define @t42 () (= @t41 tptp.sk_c7)) % 1.24/1.44 (define @t43 () (or @t42 @t19)) % 1.24/1.44 (define @t44 () (or @t42 @t22)) % 1.24/1.44 (define @t45 () (or @t42 @t25)) % 1.24/1.44 (define @t46 () (tptp.multiply tptp.sk_c2 tptp.sk_c8)) % 1.24/1.44 (define @t47 () (= @t46 tptp.sk_c3)) % 1.24/1.44 (define @t48 () (or @t47 @t19)) % 1.24/1.44 (define @t49 () (or @t47 @t22)) % 1.24/1.44 (define @t50 () (or @t47 @t25)) % 1.24/1.44 (define @t51 () (tptp.inverse tptp.sk_c2)) % 1.24/1.44 (define @t52 () (= @t51 tptp.sk_c8)) % 1.24/1.44 (define @t53 () (or @t52 @t19)) % 1.24/1.44 (define @t54 () (or @t52 @t22)) % 1.24/1.44 (define @t55 () (or @t52 @t25)) % 1.24/1.44 (define @t56 () (@var "X3" $$unsorted)) % 1.24/1.44 (define @t57 () (tptp.inverse @t56)) % 1.24/1.44 (define @t58 () (not (= @t57 tptp.sk_c8))) % 1.24/1.44 (define @t59 () (@var "X2" $$unsorted)) % 1.24/1.44 (define @t60 () (tptp.multiply @t56 tptp.sk_c8)) % 1.24/1.44 (define @t61 () (not (= @t60 @t59))) % 1.24/1.44 (define @t62 () (tptp.multiply tptp.sk_c8 @t59)) % 1.24/1.44 (define @t63 () (not (= @t62 tptp.sk_c7))) % 1.24/1.44 (define @t64 () (@var "X1" $$unsorted)) % 1.24/1.44 (define @t65 () (tptp.multiply @t64 tptp.sk_c7)) % 1.24/1.44 (define @t66 () (not (= @t65 tptp.sk_c8))) % 1.24/1.44 (define @t67 () (tptp.inverse @t64)) % 1.24/1.44 (define @t68 () (not (= @t67 tptp.sk_c8))) % 1.24/1.44 (define @t69 () (@var "X6" $$unsorted)) % 1.24/1.44 (define @t70 () (tptp.inverse @t69)) % 1.24/1.44 (define @t71 () (not (= @t70 tptp.sk_c8))) % 1.24/1.44 (define @t72 () (@var "X5" $$unsorted)) % 1.24/1.44 (define @t73 () (tptp.multiply @t69 tptp.sk_c8)) % 1.24/1.44 (define @t74 () (not (= @t73 @t72))) % 1.24/1.44 (define @t75 () (tptp.multiply tptp.sk_c8 @t72)) % 1.24/1.44 (define @t76 () (not (= @t75 tptp.sk_c7))) % 1.24/1.44 (define @t77 () (@var "X4" $$unsorted)) % 1.24/1.44 (define @t78 () (tptp.inverse @t77)) % 1.24/1.44 (define @t79 () (not (= @t78 tptp.sk_c8))) % 1.24/1.44 (define @t80 () (tptp.multiply @t77 tptp.sk_c8)) % 1.24/1.44 (define @t81 () (not (= @t80 tptp.sk_c7))) % 1.24/1.44 (define @t82 () (not @t13)) % 1.24/1.44 (define @t83 () (or @t82 @t81 @t79 @t76 @t74 @t71 @t68 @t66 @t63 @t61 @t58)) % 1.24/1.44 (define @t84 () (@list @t77 @t72 @t69 @t64 @t59 @t56)) % 1.24/1.44 (define @t85 () (forall @t84 @t83)) % 1.24/1.44 (define @t86 () (= tptp.sk_c7 @t27)) % 1.24/1.44 (define @t87 () (= tptp.sk_c8 @t24)) % 1.24/1.44 (define @t88 () (= tptp.sk_c8 @t34)) % 1.24/1.44 (define @t89 () (= tptp.sk_c7 @t41)) % 1.24/1.44 (define @t90 () (= tptp.sk_c3 @t46)) % 1.24/1.44 (define @t91 () (= tptp.sk_c8 @t51)) % 1.24/1.44 (define @t92 () (not @t88)) % 1.24/1.44 (define @t93 () (not @t86)) % 1.24/1.44 (define @t94 () (or @t93 @t92)) % 1.24/1.44 (define @t95 () (not @t94)) % 1.24/1.44 (define @t96 () (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 @t46))) % 1.24/1.44 (define @t97 () (and @t89 @t90)) % 1.24/1.44 (define @t98 () (not (= tptp.sk_c8 @t78))) % 1.24/1.44 (define @t99 () (not (= tptp.sk_c7 @t80))) % 1.24/1.44 (define @t100 () (or @t99 @t98)) % 1.24/1.44 (define @t101 () (forall (@list @t77) @t100)) % 1.24/1.44 (define @t102 () (not @t91)) % 1.24/1.44 (define @t103 () (not @t96)) % 1.24/1.44 (define @t104 () (or @t103 @t102)) % 1.24/1.44 (define @t105 () (not @t104)) % 1.24/1.44 (define @t106 () (@quantifiers_skolemize @t101 0)) % 1.24/1.44 (define @t107 () (tptp.inverse @t106)) % 1.24/1.44 (define @t108 () (= tptp.sk_c8 @t107)) % 1.24/1.44 (define @t109 () (not @t108)) % 1.24/1.44 (define @t110 () (tptp.multiply @t106 tptp.sk_c8)) % 1.24/1.44 (define @t111 () (= tptp.sk_c7 @t110)) % 1.24/1.44 (define @t112 () (not @t111)) % 1.24/1.44 (define @t113 () (or @t112 @t109)) % 1.24/1.44 (define @t114 () (not @t113)) % 1.24/1.44 (define @t115 () (not @t101)) % 1.24/1.44 (define @t116 () (not (= tptp.sk_c8 @t70))) % 1.24/1.44 (define @t117 () (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 @t73)))) % 1.24/1.44 (define @t118 () (or @t117 @t116)) % 1.24/1.44 (define @t119 () (@list @t69)) % 1.24/1.44 (define @t120 () (forall @t119 @t118)) % 1.24/1.44 (define @t121 () (@quantifiers_skolemize @t120 0)) % 1.24/1.44 (define @t122 () (= tptp.sk_c8 (tptp.inverse @t121))) % 1.24/1.44 (define @t123 () (not @t122)) % 1.24/1.44 (define @t124 () (tptp.multiply @t121 tptp.sk_c8)) % 1.24/1.44 (define @t125 () (tptp.multiply tptp.sk_c8 @t124)) % 1.24/1.44 (define @t126 () (= tptp.sk_c7 @t125)) % 1.24/1.44 (define @t127 () (not @t126)) % 1.24/1.44 (define @t128 () (or @t127 @t123)) % 1.24/1.44 (define @t129 () (not @t128)) % 1.24/1.44 (define @t130 () (not @t120)) % 1.24/1.44 (define @t131 () (not (= tptp.sk_c8 @t57))) % 1.24/1.44 (define @t132 () (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 @t60)))) % 1.24/1.44 (define @t133 () (or @t132 @t131)) % 1.24/1.44 (define @t134 () (not (= @t60 @t60))) % 1.24/1.44 (define @t135 () (or @t132 @t134 @t131)) % 1.24/1.44 (define @t136 () (@list @t56)) % 1.24/1.44 (define @t137 () (not (= @t59 @t60))) % 1.24/1.44 (define @t138 () (not (= tptp.sk_c7 @t62))) % 1.24/1.44 (define @t139 () (or @t137 @t138 @t137 @t131)) % 1.24/1.44 (define @t140 () (@list @t59)) % 1.24/1.44 (define @t141 () (or @t138 @t137 @t131)) % 1.24/1.44 (define @t142 () (forall @t140 @t141)) % 1.24/1.44 (define @t143 () (forall @t136 @t142)) % 1.24/1.44 (define @t144 () (forall (@list @t56 @t59) @t141)) % 1.24/1.44 (define @t145 () (forall (@list @t59 @t56) @t141)) % 1.24/1.44 (define @t146 () (not (= tptp.sk_c8 @t65))) % 1.24/1.44 (define @t147 () (not (= tptp.sk_c8 @t67))) % 1.24/1.44 (define @t148 () (or @t147 @t146)) % 1.24/1.44 (define @t149 () (forall (@list @t64) @t148)) % 1.24/1.44 (define @t150 () (not (= @t73 @t73))) % 1.24/1.44 (define @t151 () (or @t117 @t150 @t116)) % 1.24/1.44 (define @t152 () (not (= @t72 @t73))) % 1.24/1.44 (define @t153 () (not (= tptp.sk_c7 @t75))) % 1.24/1.44 (define @t154 () (or @t152 @t153 @t152 @t116)) % 1.24/1.44 (define @t155 () (@list @t72)) % 1.24/1.44 (define @t156 () (or @t153 @t152 @t116)) % 1.24/1.44 (define @t157 () (forall @t155 @t156)) % 1.24/1.44 (define @t158 () (forall @t119 @t157)) % 1.24/1.44 (define @t159 () (forall (@list @t69 @t72) @t156)) % 1.24/1.44 (define @t160 () (forall (@list @t72 @t69) @t156)) % 1.24/1.44 (define @t161 () (= tptp.sk_c7 @t12)) % 1.24/1.44 (define @t162 () (not @t161)) % 1.24/1.44 (define @t163 () (or @t162 @t101 @t160 @t149 @t145)) % 1.24/1.44 (define @t164 () (or @t162 @t100 @t156 @t148 @t141)) % 1.24/1.44 (define @t165 () (or @t162 @t99 @t98 @t153 @t152 @t116 @t147 @t146 @t138 @t137 @t131)) % 1.24/1.44 (define @t166 () (forall @t136 @t133)) % 1.24/1.44 (define @t167 () (@list @t121)) % 1.24/1.44 (define @t168 () (= tptp.sk_c8 (tptp.multiply @t121 tptp.sk_c7))) % 1.24/1.44 (define @t169 () (not @t168)) % 1.24/1.44 (define @t170 () (or @t123 @t169)) % 1.24/1.44 (define @t171 () (@list tptp.sk_c8)) % 1.24/1.44 (define @t172 () (@list @t106)) % 1.24/1.44 (define @t173 () (tptp.multiply tptp.sk_c8 @t121)) % 1.24/1.44 (define @t174 () (tptp.multiply @t173 tptp.sk_c8)) % 1.24/1.44 (define @t175 () (= @t174 @t125)) % 1.24/1.44 (define @t176 () (@list tptp.sk_c8 @t121 tptp.sk_c8)) % 1.24/1.44 (define @t177 () (= @t125 @t174)) % 1.24/1.44 (define @t178 () (@list false)) % 1.24/1.44 (define @t179 () (@list @t9)) % 1.24/1.44 (define @t180 () (tptp.multiply @t124 @t110)) % 1.24/1.44 (define @t181 () (tptp.multiply tptp.sk_c8 @t110)) % 1.24/1.44 (define @t182 () (tptp.multiply @t12 tptp.sk_c8)) % 1.24/1.44 (define @t183 () (= tptp.identity @t182)) % 1.24/1.44 (define @t184 () (tptp.multiply @t107 @t106)) % 1.24/1.44 (define @t185 () (= tptp.identity @t184)) % 1.24/1.44 (define @t186 () (tptp.multiply tptp.identity tptp.sk_c8)) % 1.24/1.44 (define @t187 () (= tptp.sk_c8 @t186)) % 1.24/1.44 (define @t188 () (tptp.multiply @t107 @t110)) % 1.24/1.44 (define @t189 () (tptp.multiply @t184 tptp.sk_c8)) % 1.24/1.44 (define @t190 () (= @t189 @t188)) % 1.24/1.44 (define @t191 () (tptp.multiply tptp.sk_c8 @t180)) % 1.24/1.44 (define @t192 () (tptp.multiply @t125 @t110)) % 1.24/1.44 (define @t193 () (= @t192 @t191)) % 1.24/1.44 (define @t194 () (tptp.multiply tptp.identity @t121)) % 1.24/1.44 (define @t195 () (= @t121 @t194)) % 1.24/1.44 (define @t196 () (= @t124 (tptp.multiply tptp.identity @t124))) % 1.24/1.44 (define @t197 () (tptp.multiply @t121 @t181)) % 1.24/1.44 (define @t198 () (= @t180 @t197)) % 1.24/1.44 (define @t199 () (tptp.multiply @t121 @t191)) % 1.24/1.44 (define @t200 () (= (tptp.multiply @t124 @t180) @t199)) % 1.24/1.44 (define @t201 () (tptp.multiply @t182 @t180)) % 1.24/1.44 (define @t202 () (= @t201 (tptp.multiply @t12 @t191))) % 1.24/1.44 (define @t203 () (tptp.multiply tptp.identity @t194)) % 1.24/1.44 (define @t204 () (tptp.multiply tptp.identity tptp.identity)) % 1.24/1.44 (define @t205 () (tptp.multiply @t204 @t121)) % 1.24/1.44 (define @t206 () (= @t205 @t203)) % 1.24/1.44 (define @t207 () (= @t180 (tptp.multiply tptp.identity @t180))) % 1.24/1.44 (define @t208 () (tptp.multiply @t110 @t110)) % 1.24/1.44 (define @t209 () (tptp.multiply @t124 @t208)) % 1.24/1.44 (define @t210 () (= (tptp.multiply @t180 @t110) @t209)) % 1.24/1.44 (define @t211 () (tptp.multiply @t173 @t181)) % 1.24/1.44 (define @t212 () (= @t211 (tptp.multiply tptp.sk_c8 @t197))) % 1.24/1.44 (define @t213 () (tptp.multiply tptp.sk_c8 @t12)) % 1.24/1.44 (define @t214 () (tptp.multiply @t182 @t124)) % 1.24/1.44 (define @t215 () (and @t161 @t126 @t111 @t108 @t183 @t185 @t177 @t187 @t190 @t193 @t195 @t196 @t198 @t200 @t202 @t206 @t207 @t210 @t212)) % 1.24/1.44 (define @t216 () (not @t190)) % 1.24/1.44 (define @t217 () (not @t187)) % 1.24/1.44 (define @t218 () (not @t185)) % 1.24/1.44 (define @t219 () (not @t183)) % 1.24/1.44 (define @t220 () (not @t170)) % 1.24/1.44 (define @t221 () (= tptp.sk_c7 @t18)) % 1.24/1.44 (define @t222 () (@quantifiers_skolemize @t149 0)) % 1.24/1.44 (define @t223 () (tptp.multiply tptp.sk_c5 @t222)) % 1.24/1.44 (define @t224 () (tptp.multiply tptp.sk_c8 tptp.identity)) % 1.24/1.44 (define @t225 () (@list @t224 @t223 tptp.sk_c7)) % 1.24/1.44 (define @t226 () (tptp.multiply @t223 tptp.sk_c7)) % 1.24/1.44 (define @t227 () (tptp.multiply @t224 @t226)) % 1.24/1.44 (define @t228 () (tptp.multiply @t224 @t223)) % 1.24/1.44 (define @t229 () (tptp.multiply @t228 tptp.sk_c7)) % 1.24/1.44 (define @t230 () (= @t229 @t227)) % 1.24/1.44 (define @t231 () (@list tptp.sk_c8 @t204 @t223)) % 1.24/1.44 (define @t232 () (tptp.multiply @t204 @t223)) % 1.24/1.44 (define @t233 () (tptp.multiply tptp.sk_c8 @t232)) % 1.24/1.44 (define @t234 () (= (tptp.multiply (tptp.multiply tptp.sk_c8 @t204) @t223) @t233)) % 1.24/1.44 (define @t235 () (forall @t3 (= @t1 @t2))) % 1.24/1.44 (define @t236 () (@list tptp.identity)) % 1.24/1.44 (define @t237 () (= tptp.identity @t204)) % 1.24/1.44 (define @t238 () (@list tptp.identity tptp.identity @t223)) % 1.24/1.44 (define @t239 () (tptp.multiply tptp.identity @t223)) % 1.24/1.44 (define @t240 () (tptp.multiply tptp.identity @t239)) % 1.24/1.44 (define @t241 () (= @t232 @t240)) % 1.24/1.44 (define @t242 () (tptp.multiply @t222 tptp.sk_c7)) % 1.24/1.44 (define @t243 () (@list @t242 tptp.sk_c5 tptp.sk_c8)) % 1.24/1.44 (define @t244 () (tptp.multiply @t242 @t21)) % 1.24/1.44 (define @t245 () (tptp.multiply @t242 tptp.sk_c5)) % 1.24/1.44 (define @t246 () (tptp.multiply @t245 tptp.sk_c8)) % 1.24/1.44 (define @t247 () (= @t246 @t244)) % 1.24/1.44 (define @t248 () (@list tptp.sk_c8 tptp.identity tptp.sk_c6)) % 1.24/1.44 (define @t249 () (tptp.multiply tptp.identity tptp.sk_c6)) % 1.24/1.44 (define @t250 () (tptp.multiply @t224 tptp.sk_c6)) % 1.24/1.44 (define @t251 () (= @t250 (tptp.multiply tptp.sk_c8 @t249))) % 1.24/1.44 (define @t252 () (@list tptp.sk_c6)) % 1.24/1.44 (define @t253 () (= tptp.sk_c6 @t249)) % 1.24/1.44 (define @t254 () (@list @t223)) % 1.24/1.44 (define @t255 () (= @t223 @t239)) % 1.24/1.44 (define @t256 () (@list tptp.sk_c5)) % 1.24/1.44 (define @t257 () (tptp.multiply tptp.identity tptp.sk_c5)) % 1.24/1.44 (define @t258 () (= tptp.sk_c5 @t257)) % 1.24/1.44 (define @t259 () (@list tptp.sk_c8 @t223 tptp.sk_c7)) % 1.24/1.44 (define @t260 () (tptp.multiply tptp.sk_c8 @t226)) % 1.24/1.44 (define @t261 () (tptp.multiply tptp.sk_c8 @t223)) % 1.24/1.44 (define @t262 () (= (tptp.multiply @t261 tptp.sk_c7) @t260)) % 1.24/1.44 (define @t263 () (@list tptp.sk_c5 @t222 tptp.sk_c7)) % 1.24/1.44 (define @t264 () (tptp.multiply tptp.sk_c5 @t242)) % 1.24/1.44 (define @t265 () (= @t226 @t264)) % 1.24/1.44 (define @t266 () (forall @t3 (= tptp.identity @t5))) % 1.24/1.44 (define @t267 () (tptp.multiply @t24 tptp.sk_c5)) % 1.24/1.44 (define @t268 () (= tptp.identity @t267)) % 1.24/1.44 (define @t269 () (= tptp.sk_c6 @t21)) % 1.24/1.44 (define @t270 () (= tptp.sk_c8 @t242)) % 1.24/1.44 (define @t271 () (tptp.multiply @t222 @t242)) % 1.24/1.44 (define @t272 () (tptp.multiply @t204 tptp.sk_c8)) % 1.24/1.44 (define @t273 () (tptp.multiply tptp.sk_c8 tptp.sk_c5)) % 1.24/1.44 (define @t274 () (tptp.multiply @t257 @t242)) % 1.24/1.44 (define @t275 () (tptp.multiply @t222 tptp.sk_c8)) % 1.24/1.44 (define @t276 () (= tptp.sk_c7 @t275)) % 1.24/1.44 (define @t277 () (and @t221 @t269 @t87 @t270 @t268 @t185 @t265 @t187 @t262 @t258 @t255 @t253 @t251 @t247 @t241 @t237 @t234 @t230)) % 1.24/1.44 (define @t278 () (not @t230)) % 1.24/1.44 (define @t279 () (not @t234)) % 1.24/1.44 (define @t280 () (not @t237)) % 1.24/1.44 (define @t281 () (not @t241)) % 1.24/1.44 (define @t282 () (not @t247)) % 1.24/1.44 (define @t283 () (not @t251)) % 1.24/1.44 (define @t284 () (not @t253)) % 1.24/1.44 (define @t285 () (not @t255)) % 1.24/1.44 (define @t286 () (not @t258)) % 1.24/1.44 (define @t287 () (not @t262)) % 1.24/1.44 (define @t288 () (not @t265)) % 1.24/1.44 (define @t289 () (not @t268)) % 1.24/1.44 (define @t290 () (not @t270)) % 1.24/1.44 (define @t291 () (not @t87)) % 1.24/1.44 (define @t292 () (not @t269)) % 1.24/1.44 (define @t293 () (not @t221)) % 1.24/1.44 (define @t294 () (tptp.inverse @t222)) % 1.24/1.44 (define @t295 () (= tptp.sk_c8 @t294)) % 1.24/1.44 (define @t296 () (not @t295)) % 1.24/1.44 (define @t297 () (or @t296 @t290)) % 1.24/1.44 (define @t298 () (not @t297)) % 1.24/1.44 (define @t299 () (not @t276)) % 1.24/1.44 (define @t300 () (or @t299 @t296)) % 1.24/1.44 (define @t301 () (@list @t222)) % 1.24/1.44 (define @t302 () (tptp.multiply @t222 @t106)) % 1.24/1.44 (define @t303 () (tptp.multiply @t12 @t302)) % 1.24/1.44 (define @t304 () (tptp.multiply @t294 @t222)) % 1.24/1.44 (define @t305 () (= tptp.identity @t304)) % 1.24/1.44 (define @t306 () (tptp.multiply tptp.sk_c8 @t21)) % 1.24/1.44 (define @t307 () (tptp.multiply @t273 tptp.sk_c8)) % 1.24/1.44 (define @t308 () (= @t307 @t306)) % 1.24/1.44 (define @t309 () (tptp.multiply @t222 @t110)) % 1.24/1.44 (define @t310 () (tptp.multiply @t302 tptp.sk_c8)) % 1.24/1.44 (define @t311 () (= @t310 @t309)) % 1.24/1.44 (define @t312 () (tptp.multiply @t12 @t310)) % 1.24/1.44 (define @t313 () (tptp.multiply @t303 tptp.sk_c8)) % 1.24/1.44 (define @t314 () (= @t313 @t312)) % 1.24/1.44 (define @t315 () (tptp.multiply @t313 tptp.sk_c8)) % 1.24/1.44 (define @t316 () (= @t315 (tptp.multiply @t303 (tptp.multiply tptp.sk_c8 tptp.sk_c8)))) % 1.24/1.44 (define @t317 () (tptp.multiply tptp.identity @t222)) % 1.24/1.44 (define @t318 () (= @t222 @t317)) % 1.24/1.44 (define @t319 () (tptp.multiply tptp.sk_c7 tptp.sk_c5)) % 1.24/1.44 (define @t320 () (tptp.multiply @t319 @t222)) % 1.24/1.44 (define @t321 () (and @t221 @t269 @t87 @t295 @t270 @t111 @t108 @t183 @t268 @t305 @t185 @t308 @t311 @t187 @t190 @t314 @t316 @t318)) % 1.24/1.44 (define @t322 () (not @t318)) % 1.24/1.44 (define @t323 () (not @t311)) % 1.24/1.44 (define @t324 () (not @t308)) % 1.24/1.44 (define @t325 () (not @t305)) % 1.24/1.44 (define @t326 () (tptp.multiply tptp.sk_c7 @t223)) % 1.24/1.44 (define @t327 () (= @t320 @t326)) % 1.24/1.44 (define @t328 () (@list tptp.sk_c7 tptp.sk_c5 @t222)) % 1.24/1.44 (define @t329 () (= @t326 @t320)) % 1.24/1.44 (define @t330 () (tptp.multiply @t107 tptp.identity)) % 1.24/1.44 (define @t331 () (tptp.multiply tptp.identity @t106)) % 1.24/1.44 (define @t332 () (= @t106 @t331)) % 1.24/1.44 (define @t333 () (tptp.multiply @t294 @t275)) % 1.24/1.44 (define @t334 () (tptp.multiply @t304 tptp.sk_c8)) % 1.24/1.44 (define @t335 () (= @t334 @t333)) % 1.24/1.44 (define @t336 () (tptp.multiply @t107 @t331)) % 1.24/1.44 (define @t337 () (tptp.multiply @t330 @t106)) % 1.24/1.44 (define @t338 () (= @t337 @t336)) % 1.24/1.44 (define @t339 () (tptp.multiply @t294 @t326)) % 1.24/1.44 (define @t340 () (tptp.multiply @t294 tptp.sk_c7)) % 1.24/1.44 (define @t341 () (tptp.multiply @t340 @t223)) % 1.24/1.44 (define @t342 () (= @t341 @t339)) % 1.24/1.44 (define @t343 () (tptp.multiply tptp.identity @t257)) % 1.24/1.44 (define @t344 () (tptp.multiply @t204 tptp.sk_c5)) % 1.24/1.44 (define @t345 () (= @t344 @t343)) % 1.24/1.44 (define @t346 () (tptp.multiply @t106 @t222)) % 1.24/1.44 (define @t347 () (tptp.multiply @t330 @t346)) % 1.24/1.44 (define @t348 () (tptp.multiply @t337 @t222)) % 1.24/1.44 (define @t349 () (= @t348 @t347)) % 1.24/1.44 (define @t350 () (tptp.multiply tptp.identity @t347)) % 1.24/1.44 (define @t351 () (tptp.multiply tptp.sk_c7 @t344)) % 1.24/1.44 (define @t352 () (tptp.multiply tptp.sk_c7 @t232)) % 1.24/1.44 (define @t353 () (= tptp.sk_c8 (tptp.inverse @t273))) % 1.24/1.44 (define @t354 () (and @t221 @t269 @t87 @t295 @t270 @t268 @t305 @t185 @t265 @t187 @t262 @t329 @t258 @t318 @t332 @t255 @t253 @t335 @t251 @t247 @t338 @t342 @t241 @t345 @t349 @t237 @t234 @t230)) % 1.24/1.44 (define @t355 () (not @t349)) % 1.24/1.44 (define @t356 () (not @t345)) % 1.24/1.44 (define @t357 () (not @t342)) % 1.24/1.44 (define @t358 () (not @t338)) % 1.24/1.44 (define @t359 () (not @t335)) % 1.24/1.44 (define @t360 () (not @t332)) % 1.24/1.44 (define @t361 () (not @t329)) % 1.24/1.44 (define @t362 () (tptp.multiply @t12 tptp.sk_c7)) % 1.24/1.44 (define @t363 () (tptp.multiply @t362 @t223)) % 1.24/1.44 (define @t364 () (= @t363 (tptp.multiply @t12 @t326))) % 1.24/1.44 (define @t365 () (tptp.multiply tptp.identity @t249)) % 1.24/1.44 (define @t366 () (tptp.multiply @t204 tptp.sk_c6)) % 1.24/1.44 (define @t367 () (= @t366 @t365)) % 1.24/1.44 (define @t368 () (tptp.multiply @t12 @t242)) % 1.24/1.44 (define @t369 () (tptp.multiply @t12 @t222)) % 1.24/1.44 (define @t370 () (tptp.multiply @t369 tptp.sk_c7)) % 1.24/1.44 (define @t371 () (= @t370 @t368)) % 1.24/1.44 (define @t372 () (tptp.multiply tptp.sk_c7 tptp.sk_c6)) % 1.24/1.44 (define @t373 () (= tptp.sk_c8 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) % 1.24/1.44 (define @t374 () (and @t221 @t269 @t87 @t295 @t270 @t183 @t268 @t305 @t185 @t265 @t187 @t262 @t329 @t258 @t318 @t332 @t255 @t253 @t335 @t251 @t247 @t338 @t342 @t364 @t367 @t241 @t345 @t371 @t349 @t237 @t234 @t230)) % 1.24/1.44 (define @t375 () (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 @t307))) % 1.24/1.44 (define @t376 () (and @t221 @t269 @t87 @t295 @t270 @t268 @t305 @t185 @t308 @t265 @t187 @t262 @t258 @t255 @t253 @t335 @t251 @t247 @t241 @t237 @t234 @t230)) % 1.24/1.44 (define @t377 () (not @t353)) % 1.24/1.44 (define @t378 () (not @t375)) % 1.24/1.44 (define @t379 () (or @t378 @t377)) % 1.24/1.44 (define @t380 () (not @t373)) % 1.24/1.44 (define @t381 () (or @t291 @t380)) % 1.24/1.44 (define @t382 () (not @t149)) % 1.24/1.44 (define @t383 () (= tptp.sk_c8 @t15)) % 1.24/1.44 (define @t384 () (not @t383)) % 1.24/1.44 (define @t385 () (= tptp.sk_c8 @t10)) % 1.24/1.44 (define @t386 () (not @t385)) % 1.24/1.44 (define @t387 () (or @t386 @t384)) % 1.24/1.44 (define @t388 () (not @t387)) % 1.24/1.44 (define @t389 () (@list false false)) % 1.24/1.44 (define @t390 () (@list @t383 @t385)) % 1.24/1.44 (define @t391 () (tptp.multiply tptp.sk_c5 @t302)) % 1.24/1.44 (define @t392 () (tptp.multiply tptp.sk_c7 @t391)) % 1.24/1.44 (define @t393 () (= tptp.sk_c8 (tptp.inverse @t392))) % 1.24/1.44 (define @t394 () (not @t393)) % 1.24/1.44 (define @t395 () (tptp.multiply @t392 tptp.sk_c8)) % 1.24/1.44 (define @t396 () (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 @t395))) % 1.24/1.44 (define @t397 () (not @t396)) % 1.24/1.44 (define @t398 () (or @t397 @t394)) % 1.24/1.44 (define @t399 () (tptp.multiply @t223 @t106)) % 1.24/1.44 (define @t400 () (= @t399 @t391)) % 1.24/1.44 (define @t401 () (@list tptp.sk_c5 @t222 @t106)) % 1.24/1.44 (define @t402 () (= @t391 @t399)) % 1.24/1.44 (define @t403 () (tptp.multiply @t261 @t106)) % 1.24/1.44 (define @t404 () (tptp.multiply tptp.sk_c8 @t399)) % 1.24/1.44 (define @t405 () (= @t403 @t404)) % 1.24/1.44 (define @t406 () (@list tptp.sk_c8 @t223 @t106)) % 1.24/1.44 (define @t407 () (= @t404 @t403)) % 1.24/1.44 (define @t408 () (tptp.multiply tptp.identity @t302)) % 1.24/1.44 (define @t409 () (= @t302 @t408)) % 1.24/1.44 (define @t410 () (tptp.multiply tptp.sk_c8 @t391)) % 1.24/1.44 (define @t411 () (= (tptp.multiply @t273 @t302) @t410)) % 1.24/1.44 (define @t412 () (tptp.multiply tptp.identity @t331)) % 1.24/1.44 (define @t413 () (tptp.multiply @t204 @t106)) % 1.24/1.44 (define @t414 () (= @t413 @t412)) % 1.24/1.44 (define @t415 () (and @t221 @t269 @t87 @t270 @t108 @t268 @t305 @t185 @t265 @t187 @t262 @t409 @t402 @t329 @t258 @t318 @t332 @t255 @t253 @t335 @t411 @t251 @t247 @t338 @t342 @t407 @t241 @t414 @t345 @t349 @t237 @t234 @t230)) % 1.24/1.44 (define @t416 () (not @t414)) % 1.24/1.44 (define @t417 () (not @t402)) % 1.24/1.44 (define @t418 () (tptp.multiply @t106 @t242)) % 1.24/1.44 (define @t419 () (tptp.multiply @t346 tptp.sk_c7)) % 1.24/1.44 (define @t420 () (= @t419 @t418)) % 1.24/1.44 (define @t421 () (tptp.multiply tptp.sk_c5 @t310)) % 1.24/1.44 (define @t422 () (tptp.multiply @t391 tptp.sk_c8)) % 1.24/1.44 (define @t423 () (= @t422 @t421)) % 1.24/1.44 (define @t424 () (tptp.multiply @t399 @t242)) % 1.24/1.44 (define @t425 () (= @t424 (tptp.multiply @t223 @t418))) % 1.24/1.44 (define @t426 () (tptp.multiply tptp.identity @t418)) % 1.24/1.44 (define @t427 () (= (tptp.multiply @t331 @t242) @t426)) % 1.24/1.44 (define @t428 () (= @t395 (tptp.multiply tptp.sk_c7 @t422))) % 1.24/1.44 (define @t429 () (tptp.multiply @t223 @t331)) % 1.24/1.44 (define @t430 () (tptp.multiply (tptp.multiply @t223 tptp.identity) @t106)) % 1.24/1.44 (define @t431 () (= @t430 @t429)) % 1.24/1.44 (define @t432 () (tptp.multiply tptp.identity @t310)) % 1.24/1.44 (define @t433 () (= @t310 @t432)) % 1.24/1.44 (define @t434 () (tptp.multiply tptp.sk_c8 @t421)) % 1.24/1.44 (define @t435 () (= (tptp.multiply @t273 @t310) @t434)) % 1.24/1.44 (define @t436 () (tptp.multiply @t223 @t419)) % 1.24/1.44 (define @t437 () (and @t221 @t269 @t87 @t270 @t108 @t268 @t305 @t185 @t265 @t311 @t420 @t187 @t190 @t262 @t423 @t425 @t402 @t329 @t258 @t318 @t332 @t255 @t253 @t427 @t335 @t251 @t247 @t338 @t342 @t428 @t431 @t241 @t414 @t345 @t349 @t237 @t433 @t234 @t435 @t230)) % 1.24/1.44 (define @t438 () (= tptp.sk_c8 (tptp.multiply @t106 tptp.sk_c7))) % 1.24/1.44 (define @t439 () (not @t438)) % 1.24/1.44 (define @t440 () (or @t109 @t439)) % 1.24/1.44 (define @t441 () (and @t221 @t269 @t87 @t111 @t268 @t185 @t308 @t187 @t237)) % 1.24/1.44 (define @t442 () (@list true)) % 1.24/1.44 (define @t443 () (@list @t269)) % 1.24/1.44 (define @t444 () (@list @t120)) % 1.24/1.44 (define @t445 () (@list @t128)) % 1.24/1.44 (define @t446 () (@list @t113)) % 1.24/1.44 (assume @p1 @t4) % 1.24/1.44 (assume @p2 @t6) % 1.24/1.44 (assume @p3 @t9) % 1.24/1.44 (assume @p4 @t14) % 1.24/1.44 (assume @p5 @t17) % 1.24/1.44 (assume @p6 @t20) % 1.24/1.44 (assume @p7 @t23) % 1.24/1.44 (assume @p8 @t26) % 1.24/1.44 (assume @p9 @t29) % 1.24/1.44 (assume @p10 @t30) % 1.24/1.44 (assume @p11 @t31) % 1.24/1.44 (assume @p12 @t32) % 1.24/1.44 (assume @p13 @t33) % 1.24/1.44 (assume @p14 @t36) % 1.24/1.44 (assume @p15 @t37) % 1.24/1.44 (assume @p16 @t38) % 1.24/1.44 (assume @p17 @t39) % 1.24/1.44 (assume @p18 @t40) % 1.24/1.44 (assume @p19 (or @t42 @t11)) % 1.24/1.44 (assume @p20 (or @t42 @t16)) % 1.24/1.44 (assume @p21 @t43) % 1.24/1.44 (assume @p22 @t44) % 1.24/1.44 (assume @p23 @t45) % 1.24/1.44 (assume @p24 (or @t47 @t11)) % 1.24/1.44 (assume @p25 (or @t47 @t16)) % 1.24/1.44 (assume @p26 @t48) % 1.24/1.44 (assume @p27 @t49) % 1.24/1.44 (assume @p28 @t50) % 1.24/1.44 (assume @p29 (or @t52 @t11)) % 1.24/1.44 (assume @p30 (or @t52 @t16)) % 1.24/1.44 (assume @p31 @t53) % 1.24/1.44 (assume @p32 @t54) % 1.24/1.44 (assume @p33 @t55) % 1.24/1.44 (assume @p34 @t85) % 1.24/1.44 (step @p35 :rule eq-symm :args (@t24 tptp.sk_c8)) % 1.24/1.44 (step @p36 :rule eq-symm :args (@t12 tptp.sk_c7)) % 1.24/1.44 (step @p37 :rule nary_cong :premises (@p36 @p35) :args (@t26)) % 1.24/1.44 (step @p38 :rule eq_resolve :premises (@p8 @p37)) % 1.24/1.44 (step @p39 :rule eq-symm :args (@t27 tptp.sk_c7)) % 1.24/1.44 (step @p40 :rule nary_cong :premises (@p39 @p35) :args (@t33)) % 1.24/1.44 (step @p41 :rule eq_resolve :premises (@p13 @p40)) % 1.24/1.44 (step @p42 :rule reordering :premises (@p41) :args ((or @t87 @t86))) % 1.24/1.44 (step @p43 :rule eq-symm :args (@t34 tptp.sk_c8)) % 1.24/1.44 (step @p44 :rule nary_cong :premises (@p43 @p35) :args (@t40)) % 1.24/1.44 (step @p45 :rule eq_resolve :premises (@p18 @p44)) % 1.24/1.44 (step @p46 :rule reordering :premises (@p45) :args ((or @t87 @t88))) % 1.24/1.44 (step @p47 :rule eq-symm :args (@t41 tptp.sk_c7)) % 1.24/1.44 (step @p48 :rule nary_cong :premises (@p47 @p35) :args (@t45)) % 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@p2836 :rule scope :premises (@p2835)) % 1.24/1.45 (step-pop @p2837 :rule scope :premises (@p2836)) % 1.24/1.45 (step-pop @p2838 :rule scope :premises (@p2837)) % 1.24/1.45 (step-pop @p2839 :rule scope :premises (@p2838)) % 1.24/1.45 (step-pop @p2840 :rule scope :premises (@p2839)) % 1.24/1.45 (step-pop @p2841 :rule scope :premises (@p2840)) % 1.24/1.45 (step-pop @p2842 :rule scope :premises (@p2841)) % 1.24/1.45 (step-pop @p2843 :rule scope :premises (@p2842)) % 1.24/1.45 (step-pop @p2844 :rule scope :premises (@p2843)) % 1.24/1.45 (step-pop @p2845 :rule scope :premises (@p2844)) % 1.24/1.45 (step-pop @p2846 :rule scope :premises (@p2845)) % 1.24/1.45 (step-pop @p2847 :rule scope :premises (@p2846)) % 1.24/1.45 (step-pop @p2848 :rule scope :premises (@p2847)) % 1.24/1.45 (step-pop @p2849 :rule scope :premises (@p2848)) % 1.24/1.45 (step-pop @p2850 :rule scope :premises (@p2849)) % 1.24/1.45 (step-pop @p2851 :rule scope :premises (@p2850)) % 1.24/1.45 (step-pop @p2852 :rule scope 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@t280 (not @t433) @t279 (not @t435) @t278))) % 1.24/1.45 (step @p1847 :rule cnf_or_pos :args (@t398)) % 1.24/1.45 (step @p1848 :rule reordering :premises (@p1847) :args ((or @t394 @t397 (not @t398)))) % 1.24/1.45 (step @p1849 :rule chain_m_resolution :premises (@p1848 @p1846 @p423 @p425 @p1596 @p430 @p1595 @p435 @p777 @p776 @p1380 @p440 @p1594 @p1593 @p775 @p774 @p445 @p450 @p773 @p1592 @p455 @p460 @p772 @p642 @p465 @p771 @p1369 @p1591 @p1590 @p470 @p231 @p230 @p1589 @p639 @p479 @p216 @p637 @p488 @p1588 @p423 @p425 @p430 @p435 @p777 @p776 @p1380 @p440 @p1379 @p775 @p774 @p445 @p450 @p1370 @p773 @p455 @p460 @p772 @p642 @p465 @p771 @p1369 @p1360 @p470 @p230 @p479 @p216 @p637 @p488 @p1359 @p121 @p1354 @p211 @p1331 @p1326 @p631 @p1317) :args ((or @t292 @t291 @t290 @t109) (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t396 @t221 @t230 @t435 @t234 @t433 @t237 @t349 @t345 @t414 @t241 @t431 @t428 @t342 @t338 @t247 @t251 @t335 @t427 @t253 @t255 @t332 @t318 @t258 @t329 @t402 @t425 @t423 @t262 @t190 @t187 @t420 @t311 @t265 @t185 @t305 @t268 @t393 @t221 @t230 @t234 @t237 @t349 @t345 @t414 @t241 @t407 @t342 @t338 @t247 @t251 @t411 @t335 @t253 @t255 @t332 @t318 @t258 @t329 @t402 @t409 @t262 @t187 @t265 @t185 @t305 @t268 @t398 @t120 @t128 @t170 @t387 @t149 @t297 @t295))) % 1.24/1.45 (step @p1850 :rule chain_m_resolution :premises (@p1341 @p1347 @p1353 @p60 @p83 @p94 @p110 @p1849 @p1342 @p1331 @p1326 @p631 @p1317) :args ((or @t292 @t291 @t290) (@list false false true false false false true false false false false true) (@list @t383 @t385 @t86 @t94 @t101 @t113 @t108 @t88 @t387 @t149 @t297 @t295))) % 1.24/1.45 (assume-push @p2859 @t149) % 1.24/1.45 (step @p1852 :rule instantiate :premises (@p2859) :args (@t172)) % 1.24/1.45 (step-pop @p2860 :rule scope :premises (@p1852)) % 1.24/1.45 (step @p1853 :rule process_scope :premises (@p2860) :args (@t440)) % 1.24/1.45 (step @p1855 :rule implies_elim :premises (@p1853)) % 1.24/1.45 (step @p1856 :rule chain_m_resolution :premises (@p1341 @p1347 @p1353) :args ((or @t86 @t388) @t389 @t390)) % 1.24/1.45 (step @p1857 :rule cnf_or_pos :args (@t440)) % 1.24/1.45 (step @p1858 :rule reordering :premises (@p1857) :args ((or @t109 @t439 (not @t440)))) % 1.24/1.45 (assume-push @p2861 @t221) % 1.24/1.45 (assume-push @p2862 @t269) % 1.24/1.45 (assume-push @p2863 @t87) % 1.24/1.45 (assume-push @p2864 @t111) % 1.24/1.45 (assume-push @p2865 @t268) % 1.24/1.45 (assume-push @p2866 @t185) % 1.24/1.45 (assume-push @p2867 @t308) % 1.24/1.45 (assume-push @p2868 @t187) % 1.24/1.45 (assume-push @p2869 @t237) % 1.24/1.45 (assume-push @p2870 @t221) % 1.24/1.45 (assume-push @p2871 @t269) % 1.24/1.45 (assume-push @p2872 @t308) % 1.24/1.45 (assume-push @p2873 @t87) % 1.24/1.45 (assume-push @p2874 @t268) % 1.24/1.45 (assume-push @p2875 @t185) % 1.24/1.45 (assume-push @p2876 @t237) % 1.24/1.45 (assume-push @p2877 @t187) % 1.24/1.45 (assume-push @p2878 @t111) % 1.24/1.45 (step @p1877 :rule symm :premises (@p2861)) % 1.24/1.45 (step @p1878 :rule symm :premises (@p2862)) % 1.24/1.45 (step @p65 :rule refl :args (tptp.sk_c8)) % 1.24/1.45 (step @p1879 :rule cong :premises (@p65 @p1878) :args (@t306)) % 1.24/1.45 (step @p536 :rule refl :args (tptp.sk_c5)) % 1.24/1.45 (step @p1880 :rule symm :premises (@p2863)) % 1.24/1.45 (step @p1881 :rule cong :premises (@p1880 @p536) :args (@t267)) % 1.24/1.45 (step @p290 :rule symm :premises (@p216)) % 1.24/1.45 (step @p1882 :rule trans :premises (@p290 @p488 @p1881)) % 1.24/1.45 (step @p531 :rule symm :premises (@p435)) % 1.24/1.45 (step @p533 :rule trans :premises (@p531 @p216)) % 1.24/1.45 (step @p1883 :rule trans :premises (@p533 @p1882)) % 1.24/1.45 (step @p1884 :rule cong :premises (@p1883 @p65) :args (@t272)) % 1.24/1.45 (step @p532 :rule cong :premises (@p531 @p65) :args (@t272)) % 1.24/1.45 (step @p880 :rule symm :premises (@p532)) % 1.24/1.45 (step @p1885 :rule trans :premises (@p230 @p880 @p1884 @p638 @p1879 @p1877)) % 1.24/1.45 (step @p1886 :rule refl :args (@t106)) % 1.24/1.45 (step @p1887 :rule cong :premises (@p1886 @p1885) :args (@t110)) % 1.24/1.45 (step @p1888 :rule trans :premises (@p230 @p880 @p1884 @p638 @p1879 @p1877 @p2864 @p1887)) % 1.24/1.45 (step-pop @p2879 :rule scope :premises (@p1888)) % 1.24/1.45 (step-pop @p2880 :rule scope :premises (@p2879)) % 1.24/1.45 (step-pop @p2881 :rule scope :premises (@p2880)) % 1.24/1.45 (step-pop @p2882 :rule scope :premises (@p2881)) % 1.24/1.45 (step-pop @p2883 :rule scope :premises (@p2882)) % 1.24/1.45 (step-pop @p2884 :rule scope :premises (@p2883)) % 1.24/1.45 (step-pop @p2885 :rule scope :premises (@p2884)) % 1.24/1.45 (step-pop @p2886 :rule scope :premises (@p2885)) % 1.24/1.45 (step-pop @p2887 :rule scope :premises (@p2886)) % 1.24/1.45 (step @p1889 :rule process_scope :premises (@p2887) :args (@t438)) % 1.24/1.45 (step @p1899 :rule and_intro :premises (@p2861 @p2862 @p638 @p2863 @p488 @p216 @p435 @p230 @p2864)) % 1.24/1.45 (step @p1900 :rule modus_ponens :premises (@p1899 @p1889)) % 1.24/1.45 (step-pop @p2888 :rule scope :premises (@p1900)) % 1.24/1.45 (step-pop @p2889 :rule scope :premises (@p2888)) % 1.24/1.45 (step-pop @p2890 :rule scope :premises (@p2889)) % 1.24/1.45 (step-pop @p2891 :rule scope :premises (@p2890)) % 1.24/1.45 (step-pop @p2892 :rule scope :premises (@p2891)) % 1.24/1.45 (step-pop @p2893 :rule scope :premises (@p2892)) % 1.24/1.45 (step-pop @p2894 :rule scope :premises (@p2893)) % 1.24/1.45 (step-pop @p2895 :rule scope :premises (@p2894)) % 1.24/1.45 (step-pop @p2896 :rule scope :premises (@p2895)) % 1.24/1.45 (step @p1901 :rule process_scope :premises (@p2896) :args (@t438)) % 1.24/1.45 (step @p1911 :rule implies_elim :premises (@p1901)) % 1.24/1.45 (step @p1912 :rule cnf_and_neg :args (@t441)) % 1.24/1.45 (step @p1913 :rule resolution :premises (@p1912 @p1911) :args (true @t441)) % 1.24/1.45 (step @p1914 :rule reordering :premises (@p1913) :args ((or @t293 @t292 @t291 @t112 @t289 @t218 @t324 @t217 @t438 @t280))) % 1.24/1.45 (step @p1915 :rule chain_m_resolution :premises (@p1914 @p404 @p423 @p435 @p230 @p638 @p216 @p488 @p1858 @p110 @p105 @p94 @p83 @p60 @p1856 @p1342 @p1855 @p1331 @p1326 @p636 @p1850 @p404) :args (@t292 (@list false false false false false false false true false false true true true false false false false false false true false) (@list @t87 @t221 @t237 @t187 @t308 @t185 @t268 @t438 @t108 @t111 @t113 @t101 @t94 @t86 @t88 @t440 @t387 @t149 @t297 @t270 @t87))) % 1.24/1.45 (step @p1916 :rule nary_cong :premises (@p51 @p623) :args (@t49)) % 1.24/1.45 (step @p1917 :rule eq_resolve :premises (@p27 @p1916)) % 1.24/1.45 (step @p1918 :rule reordering :premises (@p1917) :args ((or @t269 @t90))) % 1.24/1.45 (step @p1919 :rule chain_m_resolution :premises (@p1918 @p1915) :args (@t90 @t442 @t443)) % 1.24/1.45 (step @p1920 :rule nary_cong :premises (@p47 @p623) :args (@t44)) % 1.24/1.45 (step @p1921 :rule eq_resolve :premises (@p22 @p1920)) % 1.24/1.45 (step @p1922 :rule reordering :premises (@p1921) :args ((or @t269 @t89))) % 1.24/1.45 (step @p1923 :rule chain_m_resolution :premises (@p1922 @p1915) :args (@t89 @t442 @t443)) % 1.24/1.45 (step @p1924 :rule chain_m_resolution :premises (@p78 @p1923 @p1919) :args (@t96 @t389 (@list @t89 @t90))) % 1.24/1.45 (step @p1925 :rule nary_cong :premises (@p55 @p623) :args (@t54)) % 1.24/1.45 (step @p1926 :rule eq_resolve :premises (@p32 @p1925)) % 1.24/1.45 (step @p1927 :rule reordering :premises (@p1926) :args ((or @t269 @t91))) % 1.24/1.45 (step @p1928 :rule chain_m_resolution :premises (@p1927 @p1915) :args (@t91 @t442 @t443)) % 1.24/1.45 (step @p1929 :rule chain_m_resolution :premises (@p85 @p1928 @p1924) :args (@t105 @t389 (@list @t91 @t96))) % 1.24/1.45 (step @p1930 :rule chain_m_resolution :premises (@p99 @p1929) :args (@t130 @t442 (@list @t104))) % 1.24/1.45 (step @p1931 :rule chain_m_resolution :premises (@p112 @p1930) :args ((not @t166) @t442 @t444)) % 1.24/1.45 (step @p1932 :rule nary_cong :premises (@p43 @p623) :args (@t39)) % 1.24/1.45 (step @p1933 :rule eq_resolve :premises (@p17 @p1932)) % 1.24/1.45 (step @p1934 :rule reordering :premises (@p1933) :args ((or @t269 @t88))) % 1.24/1.45 (step @p1935 :rule chain_m_resolution :premises (@p1934 @p1915) :args (@t88 @t442 @t443)) % 1.24/1.45 (step @p1936 :rule nary_cong :premises (@p39 @p623) :args (@t32)) % 1.24/1.45 (step @p1937 :rule eq_resolve :premises (@p12 @p1936)) % 1.24/1.45 (step @p1938 :rule reordering :premises (@p1937) :args ((or @t269 @t86))) % 1.24/1.45 (step @p1939 :rule chain_m_resolution :premises (@p1938 @p1915) :args (@t86 @t442 @t443)) % 1.24/1.45 (step @p1940 :rule chain_m_resolution :premises (@p60 @p1939 @p1935) :args (@t95 @t389 (@list @t86 @t88))) % 1.24/1.45 (step @p1941 :rule chain_m_resolution :premises (@p83 @p1940) :args (@t115 @t442 (@list @t94))) % 1.24/1.45 (step @p1942 :rule chain_m_resolution :premises (@p625 @p1915) :args (@t161 @t442 @t443)) % 1.24/1.45 (step @p1943 :rule chain_m_resolution :premises (@p195 @p1942 @p1941 @p1930 @p1931) :args (@t149 (@list false true true true) (@list @t161 @t101 @t120 @t166))) % 1.24/1.45 (step @p1944 :rule chain_m_resolution :premises (@p211 @p1943) :args (@t170 @t178 (@list @t149))) % 1.24/1.45 (step @p1945 :rule chain_m_resolution :premises (@p121 @p1930) :args (@t129 @t442 @t444)) % 1.24/1.45 (step @p1946 :rule chain_m_resolution :premises (@p206 @p1945) :args (@t122 @t442 @t445)) % 1.24/1.45 (step @p1947 :rule chain_m_resolution :premises (@p94 @p1941) :args (@t114 @t442 (@list @t101))) % 1.24/1.45 (step @p1948 :rule chain_m_resolution :premises (@p110 @p1947) :args (@t108 @t442 @t446)) % 1.24/1.45 (step @p1949 :rule chain_m_resolution :premises (@p105 @p1947) :args (@t111 @t442 @t446)) % 1.24/1.45 (step @p1950 :rule chain_m_resolution :premises (@p201 @p1945) :args (@t126 @t442 @t445)) % 1.24/1.45 (step @p1951 :rule chain_m_resolution :premises (@p401 @p1942 @p1950 @p1949 @p1948 @p215 @p216 @p226 @p230 @p231 @p232 @p233 @p234 @p235 @p236 @p237 @p238 @p239 @p240 @p241) :args (@t168 (@list false false false false false false false false false false false false false false false false false false false) (@list @t161 @t126 @t111 @t108 @t183 @t185 @t177 @t187 @t190 @t193 @t195 @t196 @t198 @t200 @t202 @t206 @t207 @t210 @t212))) % 1.24/1.45 (step @p1952 false :rule chain_m_resolution :premises (@p403 @p1951 @p1946 @p1944) :args (false (@list false false false) (@list @t168 @t122 @t170))) % 1.24/1.45 ) % 1.24/1.45 % SZS output end Proof % 1.24/1.45 % cvc5 exiting %------------------------------------------------------------------------------