%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP300-1 : 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 : n026.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 08:20:26 AM UTC 2026 % Result : Unsatisfiable 5.23s 5.43s % Output : Proof 5.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP300-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n026.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 01:01:40 EDT 2026 % 0.18/0.34 % 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... % 5.23/5.43 % SZS status Unsatisfiable % 5.23/5.43 % SZS output start Proof % 5.23/5.45 ( % 5.23/5.45 (declare-sort $$unsorted 0) % 5.23/5.45 (declare-const tptp.sk_c3 $$unsorted) % 5.23/5.45 (declare-const tptp.sk_c5 $$unsorted) % 5.23/5.45 (declare-const tptp.sk_c4 $$unsorted) % 5.23/5.45 (declare-const tptp.sk_c6 $$unsorted) % 5.23/5.45 (declare-const tptp.sk_c1 $$unsorted) % 5.23/5.45 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 5.23/5.45 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.45 (declare-const tptp.sk_c2 $$unsorted) % 5.23/5.45 (declare-const tptp.identity $$unsorted) % 5.23/5.45 (define @t1 () (@var "X" $$unsorted)) % 5.23/5.45 (define @t2 () (tptp.multiply tptp.identity @t1)) % 5.23/5.45 (define @t3 () (@list @t1)) % 5.23/5.45 (define @t4 () (forall @t3 (= @t2 @t1))) % 5.23/5.45 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 5.23/5.45 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 5.23/5.45 (define @t7 () (@var "Z" $$unsorted)) % 5.23/5.45 (define @t8 () (@var "Y" $$unsorted)) % 5.23/5.45 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 5.23/5.45 (define @t10 () (tptp.multiply tptp.sk_c5 tptp.sk_c4)) % 5.23/5.45 (define @t11 () (= @t10 tptp.sk_c6)) % 5.23/5.45 (define @t12 () (tptp.multiply tptp.sk_c6 tptp.sk_c5)) % 5.23/5.45 (define @t13 () (= @t12 tptp.sk_c4)) % 5.23/5.45 (define @t14 () (or @t13 @t11)) % 5.23/5.45 (define @t15 () (tptp.multiply tptp.sk_c2 tptp.sk_c6)) % 5.23/5.45 (define @t16 () (= @t15 tptp.sk_c5)) % 5.23/5.45 (define @t17 () (or @t13 @t16)) % 5.23/5.45 (define @t18 () (tptp.inverse tptp.sk_c2)) % 5.23/5.45 (define @t19 () (= @t18 tptp.sk_c6)) % 5.23/5.45 (define @t20 () (or @t13 @t19)) % 5.23/5.45 (define @t21 () (tptp.inverse tptp.sk_c6)) % 5.23/5.45 (define @t22 () (= @t21 tptp.sk_c4)) % 5.23/5.45 (define @t23 () (or @t13 @t22)) % 5.23/5.45 (define @t24 () (tptp.multiply tptp.sk_c3 tptp.sk_c4)) % 5.23/5.45 (define @t25 () (= @t24 tptp.sk_c5)) % 5.23/5.45 (define @t26 () (or @t13 @t25)) % 5.23/5.45 (define @t27 () (tptp.inverse tptp.sk_c3)) % 5.23/5.45 (define @t28 () (= @t27 tptp.sk_c4)) % 5.23/5.45 (define @t29 () (or @t13 @t28)) % 5.23/5.45 (define @t30 () (tptp.multiply tptp.sk_c1 tptp.sk_c6)) % 5.23/5.45 (define @t31 () (= @t30 tptp.sk_c5)) % 5.23/5.45 (define @t32 () (or @t31 @t11)) % 5.23/5.45 (define @t33 () (or @t31 @t22)) % 5.23/5.45 (define @t34 () (tptp.inverse tptp.sk_c1)) % 5.23/5.45 (define @t35 () (= @t34 tptp.sk_c6)) % 5.23/5.45 (define @t36 () (or @t35 @t11)) % 5.23/5.45 (define @t37 () (or @t35 @t22)) % 5.23/5.45 (define @t38 () (tptp.multiply tptp.sk_c4 tptp.sk_c6)) % 5.23/5.45 (define @t39 () (= @t38 tptp.sk_c5)) % 5.23/5.45 (define @t40 () (or @t39 @t11)) % 5.23/5.45 (define @t41 () (or @t39 @t22)) % 5.23/5.45 (define @t42 () (or @t39 @t25)) % 5.23/5.45 (define @t43 () (or @t39 @t28)) % 5.23/5.45 (define @t44 () (@var "X3" $$unsorted)) % 5.23/5.45 (define @t45 () (tptp.inverse @t44)) % 5.23/5.45 (define @t46 () (not (= @t45 tptp.sk_c4))) % 5.23/5.45 (define @t47 () (tptp.multiply @t44 tptp.sk_c4)) % 5.23/5.45 (define @t48 () (not (= @t47 tptp.sk_c5))) % 5.23/5.45 (define @t49 () (not @t22)) % 5.23/5.45 (define @t50 () (@var "X1" $$unsorted)) % 5.23/5.45 (define @t51 () (tptp.inverse @t50)) % 5.23/5.45 (define @t52 () (not (= @t51 tptp.sk_c6))) % 5.23/5.45 (define @t53 () (tptp.multiply @t50 tptp.sk_c6)) % 5.23/5.45 (define @t54 () (not (= @t53 tptp.sk_c5))) % 5.23/5.45 (define @t55 () (not @t11)) % 5.23/5.45 (define @t56 () (not @t39)) % 5.23/5.45 (define @t57 () (@var "X2" $$unsorted)) % 5.23/5.45 (define @t58 () (tptp.inverse @t57)) % 5.23/5.45 (define @t59 () (not (= @t58 tptp.sk_c6))) % 5.23/5.45 (define @t60 () (tptp.multiply @t57 tptp.sk_c6)) % 5.23/5.45 (define @t61 () (not (= @t60 tptp.sk_c5))) % 5.23/5.45 (define @t62 () (not @t13)) % 5.23/5.45 (define @t63 () (or @t62 @t61 @t59 @t56 @t55 @t54 @t52 @t49 @t48 @t46)) % 5.23/5.45 (define @t64 () (@list @t57 @t50 @t44)) % 5.23/5.45 (define @t65 () (forall @t64 @t63)) % 5.23/5.45 (define @t66 () (not (= tptp.sk_c6 @t58))) % 5.23/5.45 (define @t67 () (not (= tptp.sk_c5 @t60))) % 5.23/5.45 (define @t68 () (or @t67 @t66)) % 5.23/5.45 (define @t69 () (forall (@list @t57) @t68)) % 5.23/5.45 (define @t70 () (@quantifiers_skolemize @t69 0)) % 5.23/5.45 (define @t71 () (@list @t70)) % 5.23/5.45 (define @t72 () (@list tptp.sk_c6)) % 5.23/5.45 (define @t73 () (tptp.multiply tptp.sk_c6 tptp.sk_c4)) % 5.23/5.45 (define @t74 () (= tptp.sk_c4 @t27)) % 5.23/5.45 (define @t75 () (not @t74)) % 5.23/5.45 (define @t76 () (= tptp.sk_c5 @t24)) % 5.23/5.45 (define @t77 () (not @t76)) % 5.23/5.45 (define @t78 () (or @t77 @t75)) % 5.23/5.45 (define @t79 () (not @t78)) % 5.23/5.45 (define @t80 () (not (= tptp.sk_c4 @t45))) % 5.23/5.45 (define @t81 () (not (= tptp.sk_c5 @t47))) % 5.23/5.45 (define @t82 () (or @t81 @t80)) % 5.23/5.45 (define @t83 () (forall (@list @t44) @t82)) % 5.23/5.45 (define @t84 () (@quantifiers_skolemize @t83 0)) % 5.23/5.45 (define @t85 () (tptp.inverse @t84)) % 5.23/5.45 (define @t86 () (= tptp.sk_c4 @t85)) % 5.23/5.45 (define @t87 () (not @t86)) % 5.23/5.45 (define @t88 () (tptp.multiply @t84 tptp.sk_c4)) % 5.23/5.45 (define @t89 () (= tptp.sk_c5 @t88)) % 5.23/5.45 (define @t90 () (not @t89)) % 5.23/5.45 (define @t91 () (or @t90 @t87)) % 5.23/5.45 (define @t92 () (not @t91)) % 5.23/5.45 (define @t93 () (not @t83)) % 5.23/5.45 (define @t94 () (tptp.multiply tptp.sk_c2 tptp.sk_c5)) % 5.23/5.45 (define @t95 () (tptp.multiply tptp.sk_c2 @t84)) % 5.23/5.45 (define @t96 () (@list @t84)) % 5.23/5.45 (define @t97 () (tptp.multiply tptp.sk_c4 tptp.sk_c5)) % 5.23/5.45 (define @t98 () (tptp.multiply @t10 @t94)) % 5.23/5.45 (define @t99 () (tptp.multiply tptp.sk_c4 @t94)) % 5.23/5.45 (define @t100 () (tptp.multiply tptp.sk_c5 @t99)) % 5.23/5.45 (define @t101 () (= @t98 @t100)) % 5.23/5.45 (define @t102 () (@list tptp.sk_c5 tptp.sk_c4 @t94)) % 5.23/5.45 (define @t103 () (= @t100 @t98)) % 5.23/5.45 (define @t104 () (@list false)) % 5.23/5.45 (define @t105 () (@list @t9)) % 5.23/5.45 (define @t106 () (tptp.multiply tptp.sk_c6 tptp.sk_c2)) % 5.23/5.45 (define @t107 () (tptp.multiply @t106 @t84)) % 5.23/5.45 (define @t108 () (tptp.multiply tptp.sk_c6 @t95)) % 5.23/5.45 (define @t109 () (= @t107 @t108)) % 5.23/5.45 (define @t110 () (= @t108 @t107)) % 5.23/5.45 (define @t111 () (= tptp.sk_c6 @t10)) % 5.23/5.45 (define @t112 () (= tptp.sk_c5 @t15)) % 5.23/5.45 (define @t113 () (= tptp.sk_c6 @t18)) % 5.23/5.45 (define @t114 () (= tptp.sk_c4 @t21)) % 5.23/5.45 (define @t115 () (tptp.multiply @t21 tptp.sk_c6)) % 5.23/5.45 (define @t116 () (= tptp.identity @t115)) % 5.23/5.45 (define @t117 () (= tptp.identity (tptp.multiply @t18 tptp.sk_c2))) % 5.23/5.45 (define @t118 () (tptp.multiply tptp.sk_c5 @t97)) % 5.23/5.45 (define @t119 () (tptp.multiply @t10 tptp.sk_c5)) % 5.23/5.45 (define @t120 () (= @t119 @t118)) % 5.23/5.45 (define @t121 () (tptp.multiply tptp.sk_c2 @t10)) % 5.23/5.45 (define @t122 () (tptp.multiply @t94 tptp.sk_c4)) % 5.23/5.45 (define @t123 () (= @t122 @t121)) % 5.23/5.45 (define @t124 () (tptp.multiply tptp.sk_c4 @t10)) % 5.23/5.45 (define @t125 () (tptp.multiply @t97 tptp.sk_c4)) % 5.23/5.45 (define @t126 () (= @t125 @t124)) % 5.23/5.45 (define @t127 () (tptp.multiply tptp.sk_c4 @t122)) % 5.23/5.45 (define @t128 () (tptp.multiply @t99 tptp.sk_c4)) % 5.23/5.45 (define @t129 () (= @t128 @t127)) % 5.23/5.45 (define @t130 () (tptp.multiply tptp.sk_c2 @t122)) % 5.23/5.45 (define @t131 () (tptp.multiply tptp.sk_c2 @t94)) % 5.23/5.45 (define @t132 () (tptp.multiply @t131 tptp.sk_c4)) % 5.23/5.45 (define @t133 () (= @t132 @t130)) % 5.23/5.45 (define @t134 () (tptp.multiply tptp.sk_c2 @t88)) % 5.23/5.45 (define @t135 () (tptp.multiply @t95 tptp.sk_c4)) % 5.23/5.45 (define @t136 () (= @t135 @t134)) % 5.23/5.45 (define @t137 () (tptp.multiply tptp.identity tptp.sk_c4)) % 5.23/5.45 (define @t138 () (= tptp.sk_c4 @t137)) % 5.23/5.45 (define @t139 () (tptp.multiply tptp.sk_c6 @t135)) % 5.23/5.45 (define @t140 () (tptp.multiply @t108 tptp.sk_c4)) % 5.23/5.45 (define @t141 () (= @t140 @t139)) % 5.23/5.45 (define @t142 () (= @t84 (tptp.multiply tptp.identity @t84))) % 5.23/5.45 (define @t143 () (tptp.multiply @t88 @t97)) % 5.23/5.45 (define @t144 () (tptp.multiply tptp.sk_c4 @t143)) % 5.23/5.45 (define @t145 () (tptp.multiply tptp.sk_c4 @t88)) % 5.23/5.45 (define @t146 () (tptp.multiply @t145 @t97)) % 5.23/5.45 (define @t147 () (= @t146 @t144)) % 5.23/5.45 (define @t148 () (tptp.multiply @t97 @t145)) % 5.23/5.45 (define @t149 () (tptp.multiply @t125 @t88)) % 5.23/5.45 (define @t150 () (= @t149 @t148)) % 5.23/5.45 (define @t151 () (tptp.multiply @t88 @t128)) % 5.23/5.45 (define @t152 () (= (tptp.multiply (tptp.multiply @t88 @t99) tptp.sk_c4) @t151)) % 5.23/5.45 (define @t153 () (tptp.multiply tptp.sk_c6 @t134)) % 5.23/5.45 (define @t154 () (= (tptp.multiply @t106 @t88) @t153)) % 5.23/5.45 (define @t155 () (tptp.multiply @t88 tptp.sk_c4)) % 5.23/5.45 (define @t156 () (= tptp.sk_c4 @t12)) % 5.23/5.45 (define @t157 () (and @t111 @t112 @t113 @t114 @t89 @t116 @t117 @t120 @t123 @t126 @t129 @t133 @t136 @t138 @t141 @t142 @t147 @t150 @t103 @t152 @t154 @t110)) % 5.23/5.45 (define @t158 () (not @t147)) % 5.23/5.45 (define @t159 () (not @t138)) % 5.23/5.45 (define @t160 () (not @t123)) % 5.23/5.45 (define @t161 () (not @t120)) % 5.23/5.45 (define @t162 () (not @t116)) % 5.23/5.45 (define @t163 () (not @t114)) % 5.23/5.45 (define @t164 () (not @t111)) % 5.23/5.45 (define @t165 () (tptp.multiply tptp.sk_c4 @t97)) % 5.23/5.45 (define @t166 () (tptp.multiply tptp.sk_c4 tptp.sk_c4)) % 5.23/5.45 (define @t167 () (tptp.multiply @t166 @t97)) % 5.23/5.45 (define @t168 () (tptp.multiply tptp.sk_c4 @t165)) % 5.23/5.45 (define @t169 () (= @t167 @t168)) % 5.23/5.45 (define @t170 () (= @t168 @t167)) % 5.23/5.45 (define @t171 () (tptp.multiply @t85 @t84)) % 5.23/5.45 (define @t172 () (= tptp.identity @t171)) % 5.23/5.45 (define @t173 () (tptp.multiply tptp.identity tptp.sk_c6)) % 5.23/5.45 (define @t174 () (= tptp.sk_c6 @t173)) % 5.23/5.45 (define @t175 () (tptp.multiply tptp.sk_c6 tptp.sk_c6)) % 5.23/5.45 (define @t176 () (tptp.multiply tptp.sk_c4 @t175)) % 5.23/5.45 (define @t177 () (tptp.multiply @t38 tptp.sk_c6)) % 5.23/5.45 (define @t178 () (= @t177 @t176)) % 5.23/5.45 (define @t179 () (tptp.multiply @t84 @t165)) % 5.23/5.45 (define @t180 () (= @t143 @t179)) % 5.23/5.45 (define @t181 () (tptp.multiply tptp.sk_c6 @t88)) % 5.23/5.45 (define @t182 () (= (tptp.multiply (tptp.multiply tptp.sk_c6 @t84) tptp.sk_c4) @t181)) % 5.23/5.45 (define @t183 () (tptp.multiply tptp.sk_c4 @t84)) % 5.23/5.45 (define @t184 () (tptp.multiply @t183 tptp.sk_c4)) % 5.23/5.45 (define @t185 () (= @t184 @t145)) % 5.23/5.45 (define @t186 () (tptp.multiply @t165 tptp.sk_c4)) % 5.23/5.45 (define @t187 () (tptp.multiply @t179 tptp.sk_c4)) % 5.23/5.45 (define @t188 () (= @t187 (tptp.multiply @t84 @t186))) % 5.23/5.45 (define @t189 () (tptp.multiply tptp.sk_c4 @t179)) % 5.23/5.45 (define @t190 () (tptp.multiply @t183 @t165)) % 5.23/5.45 (define @t191 () (= @t190 @t189)) % 5.23/5.45 (define @t192 () (tptp.multiply tptp.identity @t165)) % 5.23/5.45 (define @t193 () (= @t165 @t192)) % 5.23/5.45 (define @t194 () (tptp.multiply @t97 @t97)) % 5.23/5.45 (define @t195 () (tptp.multiply @t88 @t194)) % 5.23/5.45 (define @t196 () (tptp.multiply @t143 @t97)) % 5.23/5.45 (define @t197 () (= @t196 @t195)) % 5.23/5.45 (define @t198 () (tptp.multiply @t97 tptp.sk_c6)) % 5.23/5.45 (define @t199 () (tptp.multiply @t143 tptp.sk_c6)) % 5.23/5.45 (define @t200 () (= @t199 (tptp.multiply @t88 @t198))) % 5.23/5.45 (define @t201 () (tptp.multiply @t10 @t88)) % 5.23/5.45 (define @t202 () (= @t201 (tptp.multiply tptp.sk_c5 @t145))) % 5.23/5.45 (define @t203 () (tptp.multiply @t88 @t145)) % 5.23/5.45 (define @t204 () (= (tptp.multiply @t155 @t88) @t203)) % 5.23/5.45 (define @t205 () (tptp.multiply @t181 @t97)) % 5.23/5.45 (define @t206 () (= @t205 (tptp.multiply tptp.sk_c6 @t143))) % 5.23/5.45 (define @t207 () (tptp.multiply tptp.sk_c4 @t145)) % 5.23/5.45 (define @t208 () (tptp.multiply @t166 tptp.sk_c4)) % 5.23/5.45 (define @t209 () (tptp.multiply @t84 @t168)) % 5.23/5.45 (define @t210 () (tptp.multiply @t145 @t175)) % 5.23/5.45 (define @t211 () (= tptp.sk_c5 @t38)) % 5.23/5.45 (define @t212 () (and @t156 @t111 @t114 @t89 @t86 @t116 @t172 @t120 @t174 @t178 @t180 @t182 @t185 @t138 @t188 @t191 @t193 @t147 @t197 @t200 @t202 @t170 @t204 @t206)) % 5.23/5.45 (define @t213 () (not @t178)) % 5.23/5.45 (define @t214 () (not @t174)) % 5.23/5.45 (define @t215 () (not @t156)) % 5.23/5.45 (define @t216 () (not @t69)) % 5.23/5.45 (define @t217 () (not (= tptp.sk_c6 @t51))) % 5.23/5.45 (define @t218 () (not (= tptp.sk_c5 @t53))) % 5.23/5.45 (define @t219 () (or @t218 @t217)) % 5.23/5.45 (define @t220 () (forall (@list @t50) @t219)) % 5.23/5.45 (define @t221 () (not @t211)) % 5.23/5.45 (define @t222 () (or @t215 @t221 @t164 @t163 @t68 @t219 @t82)) % 5.23/5.45 (define @t223 () (or @t215 @t67 @t66 @t221 @t164 @t218 @t217 @t163 @t81 @t80)) % 5.23/5.45 (define @t224 () (= tptp.sk_c6 @t21)) % 5.23/5.45 (define @t225 () (not @t224)) % 5.23/5.45 (define @t226 () (= tptp.sk_c5 @t175)) % 5.23/5.45 (define @t227 () (not @t226)) % 5.23/5.45 (define @t228 () (or @t227 @t225)) % 5.23/5.45 (define @t229 () (tptp.multiply @t84 @t166)) % 5.23/5.45 (define @t230 () (= @t155 @t229)) % 5.23/5.45 (define @t231 () (tptp.multiply tptp.identity @t73)) % 5.23/5.45 (define @t232 () (= @t73 @t231)) % 5.23/5.45 (define @t233 () (and @t156 @t111 @t114 @t89 @t86 @t172 @t120 @t230 @t180 @t232 @t191 @t206)) % 5.23/5.45 (define @t234 () (tptp.multiply tptp.sk_c4 @t166)) % 5.23/5.45 (define @t235 () (= @t208 @t234)) % 5.23/5.45 (define @t236 () (= @t234 @t208)) % 5.23/5.45 (define @t237 () (tptp.multiply @t179 @t97)) % 5.23/5.45 (define @t238 () (= @t237 (tptp.multiply @t84 (tptp.multiply @t165 @t97)))) % 5.23/5.45 (define @t239 () (and @t156 @t111 @t114 @t89 @t86 @t116 @t172 @t120 @t126 @t174 @t178 @t230 @t180 @t185 @t138 @t232 @t238 @t191 @t236 @t206)) % 5.23/5.45 (define @t240 () (= tptp.sk_c5 @t73)) % 5.23/5.45 (define @t241 () (not @t240)) % 5.23/5.45 (define @t242 () (or @t241 @t163)) % 5.23/5.45 (define @t243 () (@list false false)) % 5.23/5.45 (define @t244 () (and @t111 @t114 @t211 @t116 @t138)) % 5.23/5.45 (define @t245 () (= tptp.sk_c5 @t30)) % 5.23/5.45 (define @t246 () (= tptp.sk_c6 @t34)) % 5.23/5.45 (define @t247 () (not @t246)) % 5.23/5.45 (define @t248 () (not @t245)) % 5.23/5.45 (define @t249 () (or @t248 @t247)) % 5.23/5.45 (define @t250 () (not @t249)) % 5.23/5.45 (define @t251 () (tptp.inverse @t70)) % 5.23/5.45 (define @t252 () (= tptp.sk_c6 @t251)) % 5.23/5.45 (define @t253 () (not @t252)) % 5.23/5.45 (define @t254 () (tptp.multiply @t70 tptp.sk_c6)) % 5.23/5.45 (define @t255 () (= tptp.sk_c5 @t254)) % 5.23/5.45 (define @t256 () (not @t255)) % 5.23/5.45 (define @t257 () (or @t256 @t253)) % 5.23/5.45 (define @t258 () (not @t257)) % 5.23/5.45 (define @t259 () (tptp.multiply @t251 @t70)) % 5.23/5.45 (define @t260 () (= tptp.identity @t259)) % 5.23/5.45 (define @t261 () (tptp.multiply tptp.sk_c6 @t254)) % 5.23/5.45 (define @t262 () (tptp.multiply tptp.sk_c6 @t70)) % 5.23/5.45 (define @t263 () (tptp.multiply @t262 tptp.sk_c6)) % 5.23/5.45 (define @t264 () (= @t263 @t261)) % 5.23/5.45 (define @t265 () (= tptp.sk_c4 @t34)) % 5.23/5.45 (define @t266 () (and @t156 @t246 @t255 @t252 @t260 @t264 @t174)) % 5.23/5.45 (define @t267 () (tptp.multiply @t70 @t70)) % 5.23/5.45 (define @t268 () (tptp.multiply @t73 tptp.sk_c4)) % 5.23/5.45 (define @t269 () (tptp.multiply tptp.sk_c4 @t70)) % 5.23/5.45 (define @t270 () (tptp.multiply @t73 @t70)) % 5.23/5.45 (define @t271 () (tptp.multiply @t270 tptp.sk_c6)) % 5.23/5.45 (define @t272 () (tptp.multiply @t267 @t271)) % 5.23/5.45 (define @t273 () (tptp.multiply @t268 tptp.sk_c6)) % 5.23/5.45 (define @t274 () (tptp.multiply tptp.sk_c2 tptp.sk_c2)) % 5.23/5.45 (define @t275 () (tptp.multiply @t274 @t94)) % 5.23/5.45 (define @t276 () (tptp.multiply tptp.sk_c2 @t131)) % 5.23/5.45 (define @t277 () (= @t275 @t276)) % 5.23/5.45 (define @t278 () (@list tptp.sk_c2 tptp.sk_c2 @t94)) % 5.23/5.45 (define @t279 () (= @t276 @t275)) % 5.23/5.45 (define @t280 () (tptp.multiply @t267 @t73)) % 5.23/5.45 (define @t281 () (tptp.multiply @t280 tptp.sk_c5)) % 5.23/5.45 (define @t282 () (tptp.multiply @t267 (tptp.multiply @t73 tptp.sk_c5))) % 5.23/5.45 (define @t283 () (= @t281 @t282)) % 5.23/5.45 (define @t284 () (= @t282 @t281)) % 5.23/5.45 (define @t285 () (tptp.multiply tptp.sk_c2 @t276)) % 5.23/5.45 (define @t286 () (tptp.multiply tptp.sk_c2 @t274)) % 5.23/5.45 (define @t287 () (tptp.multiply tptp.sk_c2 @t70)) % 5.23/5.45 (define @t288 () (tptp.multiply tptp.sk_c4 @t262)) % 5.23/5.45 (define @t289 () (tptp.multiply @t286 @t287)) % 5.23/5.45 (define @t290 () (tptp.inverse @t285)) % 5.23/5.45 (define @t291 () (tptp.multiply @t286 @t94)) % 5.23/5.45 (define @t292 () (tptp.multiply @t291 @t70)) % 5.23/5.45 (define @t293 () (tptp.multiply @t290 @t291)) % 5.23/5.45 (define @t294 () (tptp.multiply @t293 @t70)) % 5.23/5.45 (define @t295 () (= @t294 (tptp.multiply @t290 @t292))) % 5.23/5.45 (define @t296 () (not @t295)) % 5.23/5.45 (define @t297 () (tptp.multiply @t289 tptp.sk_c6)) % 5.23/5.45 (define @t298 () (tptp.multiply @t290 @t289)) % 5.23/5.45 (define @t299 () (tptp.multiply @t298 tptp.sk_c6)) % 5.23/5.45 (define @t300 () (= @t299 (tptp.multiply @t290 @t297))) % 5.23/5.45 (define @t301 () (not @t300)) % 5.23/5.45 (define @t302 () (tptp.multiply @t287 tptp.sk_c6)) % 5.23/5.45 (define @t303 () (= @t297 (tptp.multiply @t286 @t302))) % 5.23/5.45 (define @t304 () (not @t303)) % 5.23/5.45 (define @t305 () (tptp.multiply @t302 @t288)) % 5.23/5.45 (define @t306 () (= @t305 (tptp.multiply @t287 (tptp.multiply tptp.sk_c6 @t288)))) % 5.23/5.45 (define @t307 () (not @t306)) % 5.23/5.45 (define @t308 () (tptp.multiply @t73 @t262)) % 5.23/5.45 (define @t309 () (tptp.multiply @t287 @t308)) % 5.23/5.45 (define @t310 () (tptp.multiply @t287 @t73)) % 5.23/5.45 (define @t311 () (= (tptp.multiply @t310 @t262) @t309)) % 5.23/5.45 (define @t312 () (not @t311)) % 5.23/5.45 (define @t313 () (= @t292 (tptp.multiply @t286 (tptp.multiply @t94 @t70)))) % 5.23/5.45 (define @t314 () (not @t313)) % 5.23/5.45 (define @t315 () (tptp.multiply @t290 @t285)) % 5.23/5.45 (define @t316 () (= tptp.identity @t315)) % 5.23/5.45 (define @t317 () (not @t316)) % 5.23/5.45 (define @t318 () (tptp.multiply tptp.sk_c2 @t275)) % 5.23/5.45 (define @t319 () (= @t291 @t318)) % 5.23/5.45 (define @t320 () (not @t319)) % 5.23/5.45 (define @t321 () (not @t265)) % 5.23/5.45 (define @t322 () (not @t284)) % 5.23/5.45 (define @t323 () (tptp.multiply @t38 @t267)) % 5.23/5.45 (define @t324 () (tptp.multiply @t254 @t323)) % 5.23/5.45 (define @t325 () (= (tptp.multiply (tptp.multiply @t254 @t38) @t267) @t324)) % 5.23/5.45 (define @t326 () (not @t325)) % 5.23/5.45 (define @t327 () (tptp.multiply @t70 @t273)) % 5.23/5.45 (define @t328 () (tptp.multiply @t70 @t327)) % 5.23/5.45 (define @t329 () (= (tptp.multiply @t267 @t273) @t328)) % 5.23/5.45 (define @t330 () (not @t329)) % 5.23/5.45 (define @t331 () (not @t279)) % 5.23/5.45 (define @t332 () (tptp.multiply @t262 @t273)) % 5.23/5.45 (define @t333 () (tptp.multiply @t262 @t268)) % 5.23/5.45 (define @t334 () (= (tptp.multiply @t333 tptp.sk_c6) @t332)) % 5.23/5.45 (define @t335 () (not @t334)) % 5.23/5.45 (define @t336 () (tptp.multiply @t273 @t267)) % 5.23/5.45 (define @t337 () (tptp.multiply @t70 @t336)) % 5.23/5.45 (define @t338 () (= (tptp.multiply @t327 @t267) @t337)) % 5.23/5.45 (define @t339 () (not @t338)) % 5.23/5.45 (define @t340 () (tptp.multiply @t272 @t267)) % 5.23/5.45 (define @t341 () (tptp.multiply tptp.sk_c6 @t340)) % 5.23/5.45 (define @t342 () (tptp.multiply tptp.sk_c6 @t272)) % 5.23/5.45 (define @t343 () (= (tptp.multiply @t342 @t267) @t341)) % 5.23/5.45 (define @t344 () (not @t343)) % 5.23/5.45 (define @t345 () (tptp.multiply @t342 @t269)) % 5.23/5.45 (define @t346 () (= @t345 (tptp.multiply tptp.sk_c6 (tptp.multiply @t272 @t269)))) % 5.23/5.45 (define @t347 () (not @t346)) % 5.23/5.45 (define @t348 () (= @t262 (tptp.multiply tptp.identity @t262))) % 5.23/5.45 (define @t349 () (not @t348)) % 5.23/5.45 (define @t350 () (tptp.multiply tptp.sk_c6 @t269)) % 5.23/5.45 (define @t351 () (tptp.multiply @t254 @t269)) % 5.23/5.45 (define @t352 () (= @t351 (tptp.multiply @t70 @t350))) % 5.23/5.45 (define @t353 () (not @t352)) % 5.23/5.45 (define @t354 () (tptp.multiply tptp.sk_c6 @t267)) % 5.23/5.45 (define @t355 () (tptp.multiply @t73 tptp.sk_c6)) % 5.23/5.45 (define @t356 () (tptp.multiply @t355 @t267)) % 5.23/5.45 (define @t357 () (= @t356 (tptp.multiply @t73 @t354))) % 5.23/5.45 (define @t358 () (not @t357)) % 5.23/5.45 (define @t359 () (tptp.multiply @t15 @t267)) % 5.23/5.45 (define @t360 () (= @t359 (tptp.multiply tptp.sk_c2 @t354))) % 5.23/5.45 (define @t361 () (not @t360)) % 5.23/5.45 (define @t362 () (tptp.multiply tptp.sk_c4 @t354)) % 5.23/5.45 (define @t363 () (= @t323 @t362)) % 5.23/5.45 (define @t364 () (not @t363)) % 5.23/5.45 (define @t365 () (tptp.multiply @t254 @t267)) % 5.23/5.45 (define @t366 () (= @t365 (tptp.multiply @t70 @t354))) % 5.23/5.45 (define @t367 () (not @t366)) % 5.23/5.45 (define @t368 () (tptp.multiply tptp.sk_c6 @t354)) % 5.23/5.45 (define @t369 () (= (tptp.multiply @t175 @t267) @t368)) % 5.23/5.45 (define @t370 () (not @t369)) % 5.23/5.45 (define @t371 () (tptp.multiply @t73 @t254)) % 5.23/5.45 (define @t372 () (= @t271 @t371)) % 5.23/5.45 (define @t373 () (not @t372)) % 5.23/5.45 (define @t374 () (tptp.multiply @t262 @t73)) % 5.23/5.45 (define @t375 () (= (tptp.multiply @t374 tptp.sk_c4) @t333)) % 5.23/5.45 (define @t376 () (not @t375)) % 5.23/5.45 (define @t377 () (tptp.multiply @t70 @t268)) % 5.23/5.45 (define @t378 () (tptp.multiply @t377 tptp.sk_c6)) % 5.23/5.45 (define @t379 () (= @t378 @t327)) % 5.23/5.45 (define @t380 () (not @t379)) % 5.23/5.45 (define @t381 () (tptp.multiply @t267 tptp.sk_c6)) % 5.23/5.45 (define @t382 () (= @t381 (tptp.multiply @t70 @t254))) % 5.23/5.45 (define @t383 () (not @t382)) % 5.23/5.45 (define @t384 () (tptp.multiply tptp.sk_c4 @t254)) % 5.23/5.45 (define @t385 () (= (tptp.multiply @t269 tptp.sk_c6) @t384)) % 5.23/5.45 (define @t386 () (not @t385)) % 5.23/5.45 (define @t387 () (tptp.multiply tptp.sk_c2 @t254)) % 5.23/5.45 (define @t388 () (= @t302 @t387)) % 5.23/5.45 (define @t389 () (not @t388)) % 5.23/5.45 (define @t390 () (tptp.multiply tptp.sk_c6 (tptp.multiply @t267 @t70))) % 5.23/5.45 (define @t391 () (tptp.multiply @t354 @t70)) % 5.23/5.45 (define @t392 () (= @t391 @t390)) % 5.23/5.45 (define @t393 () (not @t392)) % 5.23/5.45 (define @t394 () (not @t232)) % 5.23/5.45 (define @t395 () (tptp.multiply @t70 @t73)) % 5.23/5.45 (define @t396 () (tptp.multiply tptp.sk_c6 @t395)) % 5.23/5.45 (define @t397 () (= @t374 @t396)) % 5.23/5.45 (define @t398 () (not @t397)) % 5.23/5.45 (define @t399 () (= @t270 @t350)) % 5.23/5.45 (define @t400 () (not @t399)) % 5.23/5.45 (define @t401 () (tptp.multiply @t395 tptp.sk_c6)) % 5.23/5.45 (define @t402 () (= @t401 (tptp.multiply @t70 @t355))) % 5.23/5.45 (define @t403 () (not @t402)) % 5.23/5.45 (define @t404 () (tptp.multiply @t262 @t70)) % 5.23/5.45 (define @t405 () (= @t404 @t354)) % 5.23/5.45 (define @t406 () (not @t405)) % 5.23/5.45 (define @t407 () (= @t70 (tptp.multiply tptp.identity @t70))) % 5.23/5.45 (define @t408 () (not @t407)) % 5.23/5.45 (define @t409 () (tptp.multiply @t70 @t395)) % 5.23/5.45 (define @t410 () (= @t280 @t409)) % 5.23/5.45 (define @t411 () (not @t410)) % 5.23/5.45 (define @t412 () (= @t310 (tptp.multiply tptp.sk_c2 @t395))) % 5.23/5.45 (define @t413 () (not @t412)) % 5.23/5.45 (define @t414 () (tptp.multiply @t395 tptp.sk_c4)) % 5.23/5.45 (define @t415 () (= @t414 @t377)) % 5.23/5.45 (define @t416 () (not @t415)) % 5.23/5.45 (define @t417 () (tptp.multiply @t70 @t270)) % 5.23/5.45 (define @t418 () (= (tptp.multiply @t395 @t70) @t417)) % 5.23/5.45 (define @t419 () (not @t418)) % 5.23/5.45 (define @t420 () (tptp.multiply @t70 @t10)) % 5.23/5.45 (define @t421 () (tptp.multiply @t70 tptp.sk_c5)) % 5.23/5.45 (define @t422 () (= (tptp.multiply @t421 tptp.sk_c4) @t420)) % 5.23/5.45 (define @t423 () (not @t422)) % 5.23/5.45 (define @t424 () (tptp.multiply tptp.sk_c1 @t10)) % 5.23/5.45 (define @t425 () (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c5) tptp.sk_c4)) % 5.23/5.45 (define @t426 () (= @t425 @t424)) % 5.23/5.45 (define @t427 () (not @t426)) % 5.23/5.45 (define @t428 () (not @t264)) % 5.23/5.45 (define @t429 () (tptp.multiply @t254 tptp.sk_c4)) % 5.23/5.45 (define @t430 () (= @t429 @t395)) % 5.23/5.45 (define @t431 () (not @t430)) % 5.23/5.45 (define @t432 () (not @t260)) % 5.23/5.45 (define @t433 () (tptp.multiply tptp.sk_c6 @t323)) % 5.23/5.45 (define @t434 () (tptp.multiply @t262 tptp.sk_c4)) % 5.23/5.45 (define @t435 () (tptp.multiply @t262 @t262)) % 5.23/5.45 (define @t436 () (and @t174 @t224 @t246 @t265 @t163)) % 5.23/5.45 (define @t437 () (@list true)) % 5.23/5.45 (define @t438 () (@list @t111)) % 5.23/5.45 (define @t439 () (@list @t257)) % 5.23/5.45 (define @t440 () (and @t156 @t245 @t211 @t255 @t252 @t260 @t264 @t174 @t178 @t138 @t232)) % 5.23/5.45 (assume @p1 @t4) % 5.23/5.45 (assume @p2 @t6) % 5.23/5.45 (assume @p3 @t9) % 5.23/5.45 (assume @p4 @t14) % 5.23/5.45 (assume @p5 @t17) % 5.23/5.45 (assume @p6 @t20) % 5.23/5.45 (assume @p7 @t23) % 5.23/5.45 (assume @p8 @t26) % 5.23/5.45 (assume @p9 @t29) % 5.23/5.45 (assume @p10 @t32) % 5.23/5.45 (assume @p11 (or @t31 @t16)) % 5.23/5.45 (assume @p12 (or @t31 @t19)) % 5.23/5.45 (assume @p13 @t33) % 5.23/5.45 (assume @p14 (or @t31 @t25)) % 5.23/5.45 (assume @p15 (or @t31 @t28)) % 5.23/5.45 (assume @p16 @t36) % 5.23/5.45 (assume @p17 (or @t35 @t16)) % 5.23/5.45 (assume @p18 (or @t35 @t19)) % 5.23/5.45 (assume @p19 @t37) % 5.23/5.45 (assume @p20 (or @t35 @t25)) % 5.23/5.45 (assume @p21 (or @t35 @t28)) % 5.23/5.45 (assume @p22 @t40) % 5.23/5.45 (assume @p23 (or @t39 @t16)) % 5.23/5.45 (assume @p24 (or @t39 @t19)) % 5.23/5.45 (assume @p25 @t41) % 5.23/5.45 (assume @p26 @t42) % 5.23/5.45 (assume @p27 @t43) % 5.23/5.45 (assume @p28 @t65) % 5.23/5.45 (step @p29 :rule eq-symm :args (@t5 tptp.identity)) % 5.23/5.45 (step @p30 :rule cong :premises (@p29) :args (@t6)) % 5.23/5.45 (step @p31 :rule eq_resolve :premises (@p2 @p30)) % 5.23/5.45 (step @p32 :rule instantiate :premises (@p31) :args (@t71)) % 5.23/5.45 (step @p33 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c6 @t70 tptp.sk_c6))) % 5.23/5.45 (step @p34 :rule eq-symm :args (@t2 @t1)) % 5.23/5.45 (step @p35 :rule cong :premises (@p34) :args (@t4)) % 5.23/5.45 (step @p36 :rule eq_resolve :premises (@p1 @p35)) % 5.23/5.45 (step @p37 :rule instantiate :premises (@p36) :args (@t72)) % 5.23/5.45 (step @p38 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c4 tptp.sk_c6 tptp.sk_c6))) % 5.23/5.45 (step @p39 :rule instantiate :premises (@p36) :args ((@list tptp.sk_c4))) % 5.23/5.45 (step @p40 :rule instantiate :premises (@p36) :args ((@list @t73))) % 5.23/5.45 (step @p41 :rule eq-symm :args (@t10 tptp.sk_c6)) % 5.23/5.45 (step @p42 :rule eq-symm :args (@t12 tptp.sk_c4)) % 5.23/5.45 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t14)) % 5.23/5.45 (step @p44 :rule eq_resolve :premises (@p4 @p43)) % 5.23/5.45 (step @p45 :rule eq-symm :args (@t15 tptp.sk_c5)) % 5.23/5.45 (step @p46 :rule nary_cong :premises (@p42 @p45) :args (@t17)) % 5.23/5.45 (step @p47 :rule eq_resolve :premises (@p5 @p46)) % 5.23/5.45 (step @p48 :rule eq-symm :args (@t18 tptp.sk_c6)) % 5.23/5.45 (step @p49 :rule nary_cong :premises (@p42 @p48) :args (@t20)) % 5.23/5.45 (step @p50 :rule eq_resolve :premises (@p6 @p49)) % 5.23/5.45 (step @p51 :rule eq-symm :args (@t21 tptp.sk_c4)) % 5.23/5.45 (step @p52 :rule nary_cong :premises (@p42 @p51) :args (@t23)) % 5.23/5.45 (step @p53 :rule eq_resolve :premises (@p7 @p52)) % 5.23/5.45 (step @p54 :rule eq-symm :args (@t24 tptp.sk_c5)) % 5.23/5.45 (step @p55 :rule nary_cong :premises (@p42 @p54) :args (@t26)) % 5.23/5.45 (step @p56 :rule eq_resolve :premises (@p8 @p55)) % 5.23/5.45 (step @p57 :rule eq-symm :args (@t27 tptp.sk_c4)) % 5.23/5.45 (step @p58 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5.23/5.45 (step @p964 :rule implies_elim :premises (@p963)) % 5.23/5.45 (step @p965 :rule chain_m_resolution :premises (@p964 @p3) :args (@t284 @t104 @t105)) % 5.23/5.45 (step @p966 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c2 @t274 @t94))) % 5.23/5.45 (step @p967 :rule instantiate :premises (@p31) :args ((@list @t285))) % 5.23/5.45 (step @p968 :rule instantiate :premises (@p3) :args ((@list @t286 @t94 @t70))) % 5.23/5.45 (step @p969 :rule instantiate :premises (@p3) :args ((@list @t287 @t73 @t262))) % 5.23/5.45 (step @p970 :rule instantiate :premises (@p3) :args ((@list @t287 tptp.sk_c6 @t288))) % 5.23/5.45 (step @p971 :rule instantiate :premises (@p3) :args ((@list @t286 @t287 tptp.sk_c6))) % 5.23/5.45 (step @p972 :rule instantiate :premises (@p3) :args ((@list @t290 @t289 tptp.sk_c6))) % 5.23/5.45 (step @p973 :rule instantiate :premises (@p3) :args ((@list @t290 @t291 @t70))) % 5.23/5.45 (step @p974 :rule refl :args (@t296)) % 5.23/5.45 (step @p975 :rule refl :args (@t301)) % 5.23/5.45 (step @p976 :rule refl :args (@t304)) % 5.23/5.45 (step @p977 :rule refl :args (@t307)) % 5.23/5.45 (step @p978 :rule refl :args (@t312)) % 5.23/5.45 (step @p979 :rule refl :args (@t314)) % 5.23/5.45 (step @p980 :rule refl :args (@t317)) % 5.23/5.45 (step @p981 :rule refl :args (@t320)) % 5.23/5.45 (step @p982 :rule refl :args (@t321)) % 5.23/5.45 (step @p983 :rule refl :args (@t322)) % 5.23/5.45 (step @p984 :rule refl :args (@t326)) % 5.23/5.45 (step @p985 :rule refl :args (@t330)) % 5.23/5.45 (step @p986 :rule refl :args (@t331)) % 5.23/5.45 (step @p987 :rule refl :args (@t335)) % 5.23/5.45 (step @p988 :rule refl :args (@t339)) % 5.23/5.45 (step @p989 :rule refl :args (@t344)) % 5.23/5.45 (step @p990 :rule refl :args (@t347)) % 5.23/5.45 (step @p991 :rule refl :args (@t349)) % 5.23/5.45 (step @p992 :rule refl :args (@t353)) % 5.23/5.45 (step @p993 :rule refl :args (@t358)) % 5.23/5.45 (step @p994 :rule refl :args (@t361)) % 5.23/5.45 (step @p995 :rule refl :args (@t364)) % 5.23/5.45 (step @p996 :rule refl :args (@t367)) % 5.23/5.45 (step @p997 :rule refl :args (@t370)) % 5.23/5.45 (step @p998 :rule refl :args (@t373)) % 5.23/5.45 (step @p999 :rule refl :args (@t376)) % 5.23/5.45 (step @p1000 :rule refl :args (@t380)) % 5.23/5.45 (step @p1001 :rule refl :args (@t383)) % 5.23/5.45 (step @p1002 :rule refl :args (@t386)) % 5.23/5.45 (step @p1003 :rule refl :args (@t389)) % 5.23/5.45 (step @p1004 :rule refl :args (@t393)) % 5.23/5.45 (step @p1005 :rule refl :args (@t394)) % 5.23/5.45 (step @p1006 :rule refl :args (@t159)) % 5.23/5.45 (step @p1007 :rule refl :args (@t398)) % 5.23/5.45 (step @p1008 :rule refl :args (@t400)) % 5.23/5.45 (step @p1009 :rule refl :args (@t403)) % 5.23/5.45 (step @p1010 :rule refl :args (@t406)) % 5.23/5.45 (step @p1011 :rule refl :args (@t408)) % 5.23/5.45 (step @p1012 :rule refl :args (@t411)) % 5.23/5.45 (step @p1013 :rule refl :args (@t413)) % 5.23/5.45 (step @p1014 :rule refl :args (@t416)) % 5.23/5.45 (step @p1015 :rule refl :args (@t419)) % 5.23/5.45 (step @p1016 :rule refl :args (@t214)) % 5.23/5.45 (step @p1017 :rule refl :args (@t423)) % 5.23/5.45 (step @p1018 :rule refl :args (@t427)) % 5.23/5.45 (step @p1019 :rule refl :args (@t160)) % 5.23/5.45 (step @p1020 :rule refl :args (@t428)) % 5.23/5.45 (step @p1021 :rule refl :args (@t431)) % 5.23/5.45 (step @p1022 :rule refl :args (@t432)) % 5.23/5.45 (step @p1023 :rule refl :args (@t253)) % 5.23/5.45 (step @p1024 :rule refl :args (@t256)) % 5.23/5.45 (step @p1025 :rule bool-double-not-elim :args (@t114)) % 5.23/5.45 (step @p1026 :rule refl :args (@t221)) % 5.23/5.45 (step @p1027 :rule refl :args (@t247)) % 5.23/5.45 (step @p1028 :rule refl :args (@t248)) % 5.23/5.45 (step @p1029 :rule refl :args (@t164)) % 5.23/5.45 (step @p1030 :rule refl :args (@t215)) % 5.23/5.45 (step @p1031 :rule nary_cong :premises (@p1030 @p1029 @p1028 @p1027 @p1026 @p1025 @p1024 @p1023 @p1022 @p1021 @p1020 @p1019 @p1018 @p1017 @p1016 @p1015 @p1014 @p1013 @p1012 @p1011 @p1010 @p1009 @p1008 @p1007 @p1006 @p1005 @p1004 @p1003 @p1002 @p1001 @p1000 @p999 @p998 @p997 @p996 @p995 @p994 @p993 @p992 @p991 @p990 @p989 @p988 @p987 @p986 @p985 @p984 @p983 @p982 @p981 @p980 @p979 @p978 @p977 @p976 @p975 @p974) :args ((or @t215 @t164 @t248 @t247 @t221 (not @t163) @t256 @t253 @t432 @t431 @t428 @t160 @t427 @t423 @t214 @t419 @t416 @t413 @t411 @t408 @t406 @t403 @t400 @t398 @t159 @t394 @t393 @t389 @t386 @t383 @t380 @t376 @t373 @t370 @t367 @t364 @t361 @t358 @t353 @t349 @t347 @t344 @t339 @t335 @t331 @t330 @t326 @t322 @t321 @t320 @t317 @t314 @t312 @t307 @t304 @t301 @t296))) % 5.23/5.45 (assume-push @p2023 @t174) % 5.23/5.45 (assume-push @p2024 @t224) % 5.23/5.45 (assume-push @p2025 @t246) % 5.23/5.45 (assume-push @p2026 @t265) % 5.23/5.45 (assume-push @p2027 @t163) % 5.23/5.45 (step @p1037 :rule evaluate :args ((= false true))) % 5.23/5.45 (step @p1038 :rule symm :premises (@p2024)) % 5.23/5.45 (step @p1039 :rule trans :premises (@p1038 @p37)) % 5.23/5.45 (step @p1040 :rule symm :premises (@p1039)) % 5.23/5.45 (step @p1041 :rule symm :premises (@p2025)) % 5.23/5.45 (step @p1042 :rule trans :premises (@p2026 @p1041)) % 5.23/5.45 (step @p1043 :rule trans :premises (@p1042 @p37 @p1040)) % 5.23/5.45 (step @p1044 :rule true_intro :premises (@p1043)) % 5.23/5.45 (step @p1045 :rule false_intro :premises (@p2027)) % 5.23/5.45 (step @p1046 :rule symm :premises (@p1045)) % 5.23/5.45 (step @p1047 :rule trans :premises (@p1046 @p1044)) % 5.23/5.45 (step @p1048 false :rule eq_resolve :premises (@p1047 @p1037)) % 5.23/5.45 (step-pop @p2028 :rule scope :premises (@p1048)) % 5.23/5.45 (step-pop @p2029 :rule scope :premises (@p2028)) % 5.23/5.45 (step-pop @p2030 :rule scope :premises (@p2029)) % 5.23/5.45 (step-pop @p2031 :rule scope :premises (@p2030)) % 5.23/5.45 (step-pop @p2032 :rule scope :premises (@p2031)) % 5.23/5.45 (step @p1049 :rule process_scope :premises (@p2032) :args (false)) % 5.23/5.45 (assume-push @p2033 @t156) % 5.23/5.45 (assume-push @p2034 @t111) % 5.23/5.45 (assume-push @p2035 @t245) % 5.23/5.45 (assume-push @p2036 @t246) % 5.23/5.45 (assume-push @p2037 @t211) % 5.23/5.45 (assume-push @p2038 @t163) % 5.23/5.45 (assume-push @p2039 @t255) % 5.23/5.45 (assume-push @p2040 @t252) % 5.23/5.45 (assume-push @p2041 @t260) % 5.23/5.45 (assume-push @p2042 @t430) % 5.23/5.45 (assume-push @p2043 @t264) % 5.23/5.45 (assume-push @p2044 @t123) % 5.23/5.45 (assume-push @p2045 @t426) % 5.23/5.45 (assume-push @p2046 @t422) % 5.23/5.45 (assume-push @p2047 @t174) % 5.23/5.45 (assume-push @p2048 @t418) % 5.23/5.45 (assume-push @p2049 @t415) % 5.23/5.45 (assume-push @p2050 @t412) % 5.23/5.45 (assume-push @p2051 @t410) % 5.23/5.45 (assume-push @p2052 @t407) % 5.23/5.45 (assume-push @p2053 @t405) % 5.23/5.45 (assume-push @p2054 @t402) % 5.23/5.45 (assume-push @p2055 @t399) % 5.23/5.45 (assume-push @p2056 @t397) % 5.23/5.45 (assume-push @p2057 @t138) % 5.23/5.45 (assume-push @p2058 @t232) % 5.23/5.45 (assume-push @p2059 @t392) % 5.23/5.45 (assume-push @p2060 @t388) % 5.23/5.45 (assume-push @p2061 @t385) % 5.23/5.45 (assume-push @p2062 @t382) % 5.23/5.45 (assume-push @p2063 @t379) % 5.23/5.45 (assume-push @p2064 @t375) % 5.23/5.45 (assume-push @p2065 @t372) % 5.23/5.45 (assume-push @p2066 @t369) % 5.23/5.45 (assume-push @p2067 @t366) % 5.23/5.45 (assume-push @p2068 @t363) % 5.23/5.45 (assume-push @p2069 @t360) % 5.23/5.45 (assume-push @p2070 @t357) % 5.23/5.45 (assume-push @p2071 @t352) % 5.23/5.45 (assume-push @p2072 @t348) % 5.23/5.45 (assume-push @p2073 @t346) % 5.23/5.45 (assume-push @p2074 @t343) % 5.23/5.45 (assume-push @p2075 @t338) % 5.23/5.45 (assume-push @p2076 @t334) % 5.23/5.45 (assume-push @p2077 @t279) % 5.23/5.45 (assume-push @p2078 @t329) % 5.23/5.45 (assume-push @p2079 @t325) % 5.23/5.45 (assume-push @p2080 @t284) % 5.23/5.45 (assume-push @p2081 @t265) % 5.23/5.45 (assume-push @p2082 @t319) % 5.23/5.45 (assume-push @p2083 @t316) % 5.23/5.45 (assume-push @p2084 @t313) % 5.23/5.45 (assume-push @p2085 @t311) % 5.23/5.45 (assume-push @p2086 @t306) % 5.23/5.45 (assume-push @p2087 @t303) % 5.23/5.45 (assume-push @p2088 @t300) % 5.23/5.45 (assume-push @p2089 @t295) % 5.23/5.45 (assume-push @p2090 @t338) % 5.23/5.45 (assume-push @p2091 @t325) % 5.23/5.45 (assume-push @p2092 @t295) % 5.23/5.45 (assume-push @p2093 @t300) % 5.23/5.45 (assume-push @p2094 @t303) % 5.23/5.45 (assume-push @p2095 @t306) % 5.23/5.45 (assume-push @p2096 @t316) % 5.23/5.45 (assume-push @p2097 @t313) % 5.23/5.45 (assume-push @p2098 @t348) % 5.23/5.45 (assume-push @p2099 @t369) % 5.23/5.45 (assume-push @p2100 @t252) % 5.23/5.45 (assume-push @p2101 @t284) % 5.23/5.45 (assume-push @p2102 @t255) % 5.23/5.45 (assume-push @p2103 @t352) % 5.23/5.45 (assume-push @p2104 @t366) % 5.23/5.45 (assume-push @p2105 @t357) % 5.23/5.45 (assume-push @p2106 @t388) % 5.23/5.45 (assume-push @p2107 @t174) % 5.23/5.45 (assume-push @p2108 @t422) % 5.23/5.45 (assume-push @p2109 @t375) % 5.23/5.45 (assume-push @p2110 @t329) % 5.23/5.45 (assume-push @p2111 @t426) % 5.23/5.45 (assume-push @p2112 @t382) % 5.23/5.45 (assume-push @p2113 @t343) % 5.23/5.45 (assume-push @p2114 @t311) % 5.23/5.45 (assume-push @p2115 @t346) % 5.23/5.45 (assume-push @p2116 @t123) % 5.23/5.45 (assume-push @p2117 @t360) % 5.23/5.45 (assume-push @p2118 @t111) % 5.23/5.45 (assume-push @p2119 @t279) % 5.23/5.45 (assume-push @p2120 @t264) % 5.23/5.45 (assume-push @p2121 @t430) % 5.23/5.45 (assume-push @p2122 @t211) % 5.23/5.45 (assume-push @p2123 @t418) % 5.23/5.45 (assume-push @p2124 @t246) % 5.23/5.45 (assume-push @p2125 @t405) % 5.23/5.45 (assume-push @p2126 @t385) % 5.23/5.45 (assume-push @p2127 @t245) % 5.23/5.45 (assume-push @p2128 @t156) % 5.23/5.45 (assume-push @p2129 @t415) % 5.23/5.45 (assume-push @p2130 @t412) % 5.23/5.45 (assume-push @p2131 @t319) % 5.23/5.45 (assume-push @p2132 @t410) % 5.23/5.45 (assume-push @p2133 @t363) % 5.23/5.45 (assume-push @p2134 @t407) % 5.23/5.45 (assume-push @p2135 @t260) % 5.23/5.45 (assume-push @p2136 @t402) % 5.23/5.45 (assume-push @p2137 @t138) % 5.23/5.45 (assume-push @p2138 @t232) % 5.23/5.45 (assume-push @p2139 @t399) % 5.23/5.45 (assume-push @p2140 @t397) % 5.23/5.45 (assume-push @p2141 @t334) % 5.23/5.45 (assume-push @p2142 @t392) % 5.23/5.45 (assume-push @p2143 @t372) % 5.23/5.45 (assume-push @p2144 @t379) % 5.23/5.45 (step @p431 :rule symm :premises (@p37)) % 5.23/5.45 (step @p197 :rule refl :args (tptp.sk_c6)) % 5.23/5.45 (step @p887 :rule symm :premises (@p32)) % 5.23/5.45 (step @p888 :rule refl :args (@t70)) % 5.23/5.45 (step @p1167 :rule cong :premises (@p2040 @p888) :args (@t262)) % 5.23/5.45 (step @p1168 :rule trans :premises (@p1167 @p887)) % 5.23/5.45 (step @p1169 :rule cong :premises (@p1168 @p197) :args (@t263)) % 5.23/5.45 (step @p892 :rule symm :premises (@p33)) % 5.23/5.45 (step @p1170 :rule symm :premises (@p2034)) % 5.23/5.45 (step @p1171 :rule cong :premises (@p1170 @p2039) :args (@t119)) % 5.23/5.45 (step @p159 :rule refl :args (tptp.sk_c5)) % 5.23/5.45 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5.23/5.46 (step @p1582 :rule cong :premises (@p1581 @p1580) :args ((tptp.multiply @t30 tptp.sk_c6))) % 5.23/5.46 (step @p1583 :rule cong :premises (@p2258 @p197) :args ((tptp.multiply tptp.sk_c5 tptp.sk_c6))) % 5.23/5.46 (step @p1584 :rule symm :premises (@p2259)) % 5.23/5.46 (step @p1585 :rule cong :premises (@p1584 @p197) :args (@t177)) % 5.23/5.46 (step @p434 :rule symm :premises (@p38)) % 5.23/5.46 (step @p419 :rule refl :args (@t175)) % 5.23/5.46 (step @p359 :rule symm :premises (@p39)) % 5.23/5.46 (step @p167 :rule refl :args (tptp.sk_c4)) % 5.23/5.46 (step @p1586 :rule symm :premises (@p1578)) % 5.23/5.46 (step @p1587 :rule cong :premises (@p1586 @p167) :args (@t434)) % 5.23/5.46 (step @p1588 :rule trans :premises (@p1587 @p359)) % 5.23/5.46 (step @p1589 :rule cong :premises (@p1588 @p419) :args ((tptp.multiply @t434 @t175))) % 5.23/5.46 (step @p1590 :rule symm :premises (@p1588)) % 5.23/5.46 (step @p1591 :rule trans :premises (@p1580 @p1590)) % 5.23/5.46 (step @p1592 :rule cong :premises (@p1591 @p419) :args ((tptp.multiply tptp.sk_c6 @t175))) % 5.23/5.46 (step @p1593 :rule symm :premises (@p1580)) % 5.23/5.46 (step @p1594 :rule cong :premises (@p197 @p1593) :args (@t73)) % 5.23/5.46 (step @p575 :rule symm :premises (@p40)) % 5.23/5.46 (step @p1233 :rule refl :args (@t73)) % 5.23/5.46 (step @p1595 :rule cong :premises (@p1586 @p1233) :args (@t374)) % 5.23/5.46 (step @p1596 :rule trans :premises (@p1595 @p575 @p1594)) % 5.23/5.46 (step @p1597 :rule symm :premises (@p1591)) % 5.23/5.46 (step @p1598 :rule cong :premises (@p1597 @p1596) :args ((tptp.multiply @t434 @t374))) % 5.23/5.46 (step @p1599 :rule symm :premises (@p1595)) % 5.23/5.46 (step @p1600 :rule trans :premises (@p40 @p1599)) % 5.23/5.46 (step @p1601 :rule cong :premises (@p1590 @p1600) :args ((tptp.multiply tptp.sk_c4 @t73))) % 5.23/5.46 (step @p1602 :rule cong :premises (@p1597 @p1580) :args ((tptp.multiply @t434 tptp.sk_c6))) % 5.23/5.46 (step @p1603 :rule cong :premises (@p1590 @p1593) :args (@t166)) % 5.23/5.46 (step @p1604 :rule cong :premises (@p167 @p1580) :args (@t38)) % 5.23/5.46 (step @p1605 :rule trans :premises (@p2259 @p1604 @p1603 @p1602)) % 5.23/5.46 (step @p1606 :rule cong :premises (@p1580 @p1605) :args (@t12)) % 5.23/5.46 (step @p1607 :rule trans :premises (@p37 @p1579 @p33 @p1575 @p1606 @p1601 @p1598 @p1592 @p1589 @p434 @p1585 @p1583 @p1582)) % 5.23/5.46 (step-pop @p2279 :rule scope :premises (@p1607)) % 5.23/5.46 (step-pop @p2280 :rule scope :premises (@p2279)) % 5.23/5.46 (step-pop @p2281 :rule scope :premises (@p2280)) % 5.23/5.46 (step-pop @p2282 :rule scope :premises (@p2281)) % 5.23/5.46 (step-pop @p2283 :rule scope :premises (@p2282)) % 5.23/5.46 (step-pop @p2284 :rule scope :premises (@p2283)) % 5.23/5.46 (step-pop @p2285 :rule scope :premises (@p2284)) % 5.23/5.46 (step-pop @p2286 :rule scope :premises (@p2285)) % 5.23/5.46 (step-pop @p2287 :rule scope :premises (@p2286)) % 5.23/5.46 (step-pop @p2288 :rule scope :premises (@p2287)) % 5.23/5.46 (step-pop @p2289 :rule scope :premises (@p2288)) % 5.23/5.46 (step @p1608 :rule process_scope :premises (@p2289) :args (@t111)) % 5.23/5.46 (step @p1620 :rule and_intro :premises (@p2258 @p2257 @p2260 @p33 @p2261 @p32 @p37 @p2259 @p38 @p39 @p40)) % 5.23/5.46 (step @p1621 :rule modus_ponens :premises (@p1620 @p1608)) % 5.23/5.46 (step-pop @p2290 :rule scope :premises (@p1621)) % 5.23/5.46 (step-pop @p2291 :rule scope :premises (@p2290)) % 5.23/5.46 (step-pop @p2292 :rule scope :premises (@p2291)) % 5.23/5.46 (step-pop @p2293 :rule scope :premises (@p2292)) % 5.23/5.46 (step-pop @p2294 :rule scope :premises (@p2293)) % 5.23/5.46 (step-pop @p2295 :rule scope :premises (@p2294)) % 5.23/5.46 (step-pop @p2296 :rule scope :premises (@p2295)) % 5.23/5.46 (step-pop @p2297 :rule scope :premises (@p2296)) % 5.23/5.46 (step-pop @p2298 :rule scope :premises (@p2297)) % 5.23/5.46 (step-pop @p2299 :rule scope :premises (@p2298)) % 5.23/5.46 (step-pop @p2300 :rule scope :premises (@p2299)) % 5.23/5.46 (step @p1622 :rule process_scope :premises (@p2300) :args (@t111)) % 5.23/5.46 (step @p1634 :rule implies_elim :premises (@p1622)) % 5.23/5.46 (step @p1635 :rule cnf_and_neg :args (@t440)) % 5.23/5.46 (step @p1636 :rule resolution :premises (@p1635 @p1634) :args (true @t440)) % 5.23/5.46 (step @p1637 :rule reordering :premises (@p1636) :args ((or @t111 @t215 @t221 @t248 @t256 @t253 @t432 @t428 @t214 @t213 @t159 @t394))) % 5.23/5.46 (step @p1638 false :rule chain_m_resolution :premises (@p1637 @p1550 @p1549 @p1541 @p1537 @p1533 @p284 @p40 @p39 @p38 @p37 @p33 @p32) :args (false (@list false false false false true false false false false false false false) (@list @t252 @t255 @t211 @t245 @t111 @t156 @t232 @t138 @t178 @t174 @t264 @t260))) % 5.23/5.46 ) % 5.23/5.47 % SZS output end Proof % 5.23/5.47 % cvc5 exiting %------------------------------------------------------------------------------