%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE031+1 : TPTP v9.2.1. Released v4.0.0. % 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 08:28:09 AM UTC 2026 % Result : Theorem 210.60s 210.90s % Output : Proof 203.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE031+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 05:10:55 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 210.60/210.90 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 210.60/210.90 --- Run --no-e-matching --full-saturate-quant at 6... % 210.60/210.90 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 210.60/210.90 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 210.60/210.90 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 210.60/210.90 --- Run --trigger-sel=max --full-saturate-quant at 15... % 210.60/210.90 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 210.60/210.90 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 210.60/210.90 --- Run --prenex-quant=none --full-saturate-quant at 30... % 210.60/210.90 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 210.60/210.90 --- Run --relevant-triggers --full-saturate-quant at 30... % 210.60/210.90 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 210.60/210.90 % SZS status Theorem % 210.60/210.90 % SZS output start Proof % 210.60/210.90 ( % 210.60/210.90 (declare-sort $$unsorted 0) % 210.60/210.90 (declare-const tptp.ismeetu (-> $$unsorted $$unsorted $$unsorted Bool)) % 210.60/210.90 (declare-const tptp.ismeet (-> $$unsorted $$unsorted $$unsorted Bool)) % 210.60/210.90 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 210.60/210.90 (declare-const tptp.test (-> $$unsorted Bool)) % 210.60/210.90 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 210.60/210.90 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 210.60/210.90 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 210.60/210.90 (declare-const tptp.zero $$unsorted) % 210.60/210.90 (declare-const tptp.one $$unsorted) % 210.60/210.90 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 210.60/210.90 (define @t1 () (@var "A" $$unsorted)) % 210.60/210.90 (define @t2 () (@var "B" $$unsorted)) % 210.60/210.90 (define @t3 () (tptp.addition @t1 @t2)) % 210.60/210.90 (define @t4 () (@list @t1 @t2)) % 210.60/210.90 (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 210.60/210.90 (define @t6 () (@var "C" $$unsorted)) % 210.60/210.90 (define @t7 () (tptp.addition @t2 @t6)) % 210.60/210.90 (define @t8 () (tptp.addition @t1 tptp.zero)) % 210.60/210.90 (define @t9 () (@list @t1)) % 210.60/210.90 (define @t10 () (forall @t9 (= @t8 @t1))) % 210.60/210.90 (define @t11 () (tptp.multiplication @t1 @t2)) % 210.60/210.90 (define @t12 () (tptp.multiplication @t2 @t6)) % 210.60/210.90 (define @t13 () (@list @t1 @t2 @t6)) % 210.60/210.90 (define @t14 () (tptp.multiplication @t1 tptp.one)) % 210.60/210.90 (define @t15 () (forall @t9 (= @t14 @t1))) % 210.60/210.90 (define @t16 () (tptp.multiplication tptp.one @t1)) % 210.60/210.90 (define @t17 () (forall @t9 (= @t16 @t1))) % 210.60/210.90 (define @t18 () (tptp.multiplication @t1 @t6)) % 210.60/210.90 (define @t19 () (tptp.multiplication @t1 tptp.zero)) % 210.60/210.90 (define @t20 () (forall @t9 (= @t19 tptp.zero))) % 210.60/210.90 (define @t21 () (tptp.multiplication tptp.zero @t1)) % 210.60/210.90 (define @t22 () (forall @t9 (= @t21 tptp.zero))) % 210.60/210.90 (define @t23 () (tptp.leq @t1 @t2)) % 210.60/210.90 (define @t24 () (= @t23 (= @t3 @t2))) % 210.60/210.90 (define @t25 () (forall @t4 @t24)) % 210.60/210.90 (define @t26 () (@var "X0" $$unsorted)) % 210.60/210.90 (define @t27 () (@var "X1" $$unsorted)) % 210.60/210.90 (define @t28 () (tptp.complement @t27 @t26)) % 210.60/210.90 (define @t29 () (@list @t27)) % 210.60/210.90 (define @t30 () (exists @t29 @t28)) % 210.60/210.90 (define @t31 () (tptp.test @t26)) % 210.60/210.90 (define @t32 () (= @t31 @t30)) % 210.60/210.90 (define @t33 () (@list @t26)) % 210.60/210.90 (define @t34 () (forall @t33 @t32)) % 210.60/210.90 (define @t35 () (tptp.addition @t26 @t27)) % 210.60/210.90 (define @t36 () (tptp.multiplication @t27 @t26)) % 210.60/210.90 (define @t37 () (tptp.multiplication @t26 @t27)) % 210.60/210.90 (define @t38 () (and (= @t37 tptp.zero) (= @t36 tptp.zero) (= @t35 tptp.one))) % 210.60/210.90 (define @t39 () (= @t28 @t38)) % 210.60/210.90 (define @t40 () (@list @t26 @t27)) % 210.60/210.90 (define @t41 () (forall @t40 @t39)) % 210.60/210.90 (define @t42 () (tptp.c @t26)) % 210.60/210.90 (define @t43 () (@var "X2" $$unsorted)) % 210.60/210.90 (define @t44 () (@var "X3" $$unsorted)) % 210.60/210.90 (define @t45 () (tptp.leq @t44 @t43)) % 210.60/210.90 (define @t46 () (tptp.leq @t44 @t27)) % 210.60/210.90 (define @t47 () (tptp.leq @t44 @t26)) % 210.60/210.90 (define @t48 () (and @t47 @t46)) % 210.60/210.90 (define @t49 () (@list @t44)) % 210.60/210.90 (define @t50 () (forall @t49 (=> @t48 @t45))) % 210.60/210.90 (define @t51 () (tptp.leq @t43 @t27)) % 210.60/210.90 (define @t52 () (tptp.leq @t43 @t26)) % 210.60/210.90 (define @t53 () (and @t52 @t51 @t50)) % 210.60/210.90 (define @t54 () (tptp.ismeet @t43 @t26 @t27)) % 210.60/210.90 (define @t55 () (= @t54 @t53)) % 210.60/210.90 (define @t56 () (@list @t26 @t27 @t43)) % 210.60/210.90 (define @t57 () (forall @t56 @t55)) % 210.60/210.90 (define @t58 () (tptp.ismeet (tptp.multiplication @t44 @t26) (tptp.multiplication @t44 @t27) (tptp.multiplication @t44 @t43))) % 210.60/210.90 (define @t59 () (tptp.ismeet @t26 @t27 @t43)) % 210.60/210.90 (define @t60 () (tptp.test @t44)) % 210.60/210.90 (define @t61 () (and @t60 @t59)) % 210.60/210.90 (define @t62 () (@list @t26 @t27 @t43 @t44)) % 210.60/210.90 (define @t63 () (forall @t62 (=> @t61 @t58))) % 210.60/210.90 (define @t64 () (not @t63)) % 210.60/210.90 (define @t65 () (not @t59)) % 210.60/210.90 (define @t66 () (not @t60)) % 210.60/210.90 (define @t67 () (or @t66 @t65 @t58)) % 210.60/210.90 (define @t68 () (forall @t62 @t67)) % 210.60/210.90 (define @t69 () (@quantifiers_skolemize @t68 3)) % 210.60/210.90 (define @t70 () (@list @t69)) % 210.60/210.90 (define @t71 () (forall @t29 (not (tptp.complement @t27 @t69)))) % 210.60/210.90 (define @t72 () (@quantifiers_skolemize @t71 0)) % 210.60/210.90 (define @t73 () (@list @t69 @t72)) % 210.60/210.90 (define @t74 () (tptp.test @t69)) % 210.60/210.90 (define @t75 () (@quantifiers_skolemize @t68 2)) % 210.60/210.90 (define @t76 () (tptp.multiplication @t69 @t75)) % 210.60/210.90 (define @t77 () (@quantifiers_skolemize @t68 1)) % 210.60/210.90 (define @t78 () (tptp.multiplication @t69 @t77)) % 210.60/210.90 (define @t79 () (@quantifiers_skolemize @t68 0)) % 210.60/210.90 (define @t80 () (tptp.multiplication @t69 @t79)) % 210.60/210.90 (define @t81 () (tptp.ismeet @t80 @t78 @t76)) % 210.60/210.90 (define @t82 () (tptp.ismeet @t79 @t77 @t75)) % 210.60/210.90 (define @t83 () (not @t82)) % 210.60/210.90 (define @t84 () (not @t74)) % 210.60/210.90 (define @t85 () (or @t84 @t83 @t81)) % 210.60/210.90 (define @t86 () (@list true)) % 210.60/210.90 (define @t87 () (@list @t85)) % 210.60/210.90 (define @t88 () (not @t71)) % 210.60/210.90 (define @t89 () (= @t74 @t88)) % 210.60/210.90 (define @t90 () (@list false false)) % 210.60/210.90 (define @t91 () (tptp.complement @t72 @t69)) % 210.60/210.90 (define @t92 () (not @t91)) % 210.60/210.90 (define @t93 () (not @t92)) % 210.60/210.90 (define @t94 () (tptp.addition @t69 @t72)) % 210.60/210.90 (define @t95 () (= tptp.one @t94)) % 210.60/210.90 (define @t96 () (tptp.multiplication @t72 @t69)) % 210.60/210.90 (define @t97 () (= tptp.zero @t96)) % 210.60/210.90 (define @t98 () (tptp.multiplication @t69 @t72)) % 210.60/210.90 (define @t99 () (= tptp.zero @t98)) % 210.60/210.90 (define @t100 () (and @t99 @t97 @t95)) % 210.60/210.90 (define @t101 () (= @t91 @t100)) % 210.60/210.90 (define @t102 () (not @t100)) % 210.60/210.90 (define @t103 () (@list false)) % 210.60/210.90 (define @t104 () (@list @t100)) % 210.60/210.90 (define @t105 () (@list @t75)) % 210.60/210.90 (define @t106 () (tptp.addition tptp.zero @t79)) % 210.60/210.90 (define @t107 () (tptp.addition @t79 tptp.zero)) % 210.60/210.90 (define @t108 () (= @t106 @t107)) % 210.60/210.90 (define @t109 () (@list tptp.zero @t79)) % 210.60/210.90 (define @t110 () (= @t107 @t106)) % 210.60/210.90 (define @t111 () (forall @t49 (or (not (tptp.leq @t44 @t78)) (not (tptp.leq @t44 @t76)) (tptp.leq @t44 @t80)))) % 210.60/210.90 (define @t112 () (@quantifiers_skolemize @t111 0)) % 210.60/210.90 (define @t113 () (not @t46)) % 210.60/210.90 (define @t114 () (not @t47)) % 210.60/210.90 (define @t115 () (forall @t49 (or (not (tptp.leq @t44 @t77)) (not (tptp.leq @t44 @t75)) (tptp.leq @t44 @t79)))) % 210.60/210.90 (define @t116 () (tptp.leq @t79 @t75)) % 210.60/210.90 (define @t117 () (tptp.leq @t79 @t77)) % 210.60/210.90 (define @t118 () (and @t117 @t116 @t115)) % 210.60/210.90 (define @t119 () (= @t82 @t118)) % 210.60/210.90 (define @t120 () (not @t118)) % 210.60/210.90 (define @t121 () (@list @t118)) % 210.60/210.90 (define @t122 () (= @t75 (tptp.addition @t79 @t75))) % 210.60/210.90 (define @t123 () (= @t116 @t122)) % 210.60/210.90 (define @t124 () (= @t76 (tptp.addition @t80 @t76))) % 210.60/210.90 (define @t125 () (tptp.leq @t80 @t76)) % 210.60/210.90 (define @t126 () (= @t125 @t124)) % 210.60/210.90 (define @t127 () (tptp.addition @t79 @t77)) % 210.60/210.90 (define @t128 () (= @t77 @t127)) % 210.60/210.90 (define @t129 () (= @t117 @t128)) % 210.60/210.90 (define @t130 () (= @t78 (tptp.addition @t80 @t78))) % 210.60/210.90 (define @t131 () (tptp.leq @t80 @t78)) % 210.60/210.90 (define @t132 () (= @t131 @t130)) % 210.60/210.90 (define @t133 () (and @t131 @t125 @t111)) % 210.60/210.90 (define @t134 () (= @t81 @t133)) % 210.60/210.90 (define @t135 () (not @t133)) % 210.60/210.90 (define @t136 () (@list true false)) % 210.60/210.90 (define @t137 () (tptp.leq @t112 @t76)) % 210.60/210.90 (define @t138 () (tptp.leq @t112 @t80)) % 210.60/210.90 (define @t139 () (not @t137)) % 210.60/210.90 (define @t140 () (tptp.leq @t112 @t78)) % 210.60/210.90 (define @t141 () (not @t140)) % 210.60/210.90 (define @t142 () (or @t141 @t139 @t138)) % 210.60/210.90 (define @t143 () (@list @t142)) % 210.60/210.90 (define @t144 () (tptp.addition @t112 @t76)) % 210.60/210.90 (define @t145 () (= @t76 @t144)) % 210.60/210.90 (define @t146 () (= @t137 @t145)) % 210.60/210.90 (define @t147 () (= @t80 (tptp.addition @t112 @t80))) % 210.60/210.90 (define @t148 () (= @t138 @t147)) % 210.60/210.90 (define @t149 () (not @t147)) % 210.60/210.90 (define @t150 () (@list @t112)) % 210.60/210.90 (define @t151 () (tptp.multiplication @t72 @t112)) % 210.60/210.90 (define @t152 () (tptp.multiplication @t72 @t75)) % 210.60/210.90 (define @t153 () (tptp.addition @t76 @t152)) % 210.60/210.90 (define @t154 () (= @t75 (tptp.addition @t112 @t75))) % 210.60/210.90 (define @t155 () (tptp.leq @t112 @t75)) % 210.60/210.90 (define @t156 () (= @t155 @t154)) % 210.60/210.90 (define @t157 () (tptp.multiplication tptp.one @t77)) % 210.60/210.90 (define @t158 () (tptp.multiplication tptp.one @t112)) % 210.60/210.90 (define @t159 () (tptp.addition @t112 @t77)) % 210.60/210.90 (define @t160 () (tptp.addition @t72 @t69)) % 210.60/210.90 (define @t161 () (tptp.multiplication @t69 @t69)) % 210.60/210.90 (define @t162 () (tptp.multiplication @t69 @t112)) % 210.60/210.90 (define @t163 () (tptp.multiplication @t69 @t78)) % 210.60/210.90 (define @t164 () (= @t78 (tptp.addition @t112 @t78))) % 210.60/210.90 (define @t165 () (= @t140 @t164)) % 210.60/210.90 (define @t166 () (tptp.multiplication @t72 @t77)) % 210.60/210.90 (define @t167 () (tptp.multiplication @t96 @t75)) % 210.60/210.90 (define @t168 () (tptp.multiplication @t72 @t76)) % 210.60/210.90 (define @t169 () (tptp.addition @t151 @t168)) % 210.60/210.90 (define @t170 () (tptp.addition tptp.zero @t166)) % 210.60/210.90 (define @t171 () (= @t77 @t159)) % 210.60/210.90 (define @t172 () (tptp.leq @t112 @t77)) % 210.60/210.90 (define @t173 () (= @t172 @t171)) % 210.60/210.90 (define @t174 () (tptp.leq @t112 @t79)) % 210.60/210.90 (define @t175 () (not @t155)) % 210.60/210.90 (define @t176 () (not @t172)) % 210.60/210.90 (define @t177 () (or @t176 @t175 @t174)) % 210.60/210.90 (define @t178 () (tptp.addition @t112 @t79)) % 210.60/210.90 (define @t179 () (= @t79 @t178)) % 210.60/210.90 (define @t180 () (= @t174 @t179)) % 210.60/210.90 (define @t181 () (tptp.addition @t98 @t162)) % 210.60/210.90 (define @t182 () (tptp.addition @t181 @t80)) % 210.60/210.90 (define @t183 () (tptp.addition @t162 @t80)) % 210.60/210.90 (define @t184 () (tptp.addition @t98 @t183)) % 210.60/210.90 (define @t185 () (= @t184 @t182)) % 210.60/210.90 (define @t186 () (not @t185)) % 210.60/210.90 (define @t187 () (= @t151 (tptp.addition @t151 tptp.zero))) % 210.60/210.90 (define @t188 () (not @t187)) % 210.60/210.90 (define @t189 () (tptp.multiplication @t160 @t112)) % 210.60/210.90 (define @t190 () (= @t189 (tptp.addition @t151 @t162))) % 210.60/210.90 (define @t191 () (not @t190)) % 210.60/210.90 (define @t192 () (= @t112 @t158)) % 210.60/210.90 (define @t193 () (not @t192)) % 210.60/210.90 (define @t194 () (tptp.multiplication @t69 tptp.zero)) % 210.60/210.90 (define @t195 () (tptp.multiplication @t69 @t106)) % 210.60/210.90 (define @t196 () (= @t195 (tptp.addition @t194 @t80))) % 210.60/210.90 (define @t197 () (not @t196)) % 210.60/210.90 (define @t198 () (= (tptp.multiplication @t72 @t144) @t169)) % 210.60/210.90 (define @t199 () (not @t198)) % 210.60/210.90 (define @t200 () (tptp.multiplication @t69 @t178)) % 210.60/210.90 (define @t201 () (= @t200 @t183)) % 210.60/210.90 (define @t202 () (not @t201)) % 210.60/210.90 (define @t203 () (= @t168 @t167)) % 210.60/210.90 (define @t204 () (not @t203)) % 210.60/210.90 (define @t205 () (not @t110)) % 210.60/210.90 (define @t206 () (not @t179)) % 210.60/210.90 (define @t207 () (not @t145)) % 210.60/210.90 (define @t208 () (= @t94 @t160)) % 210.60/210.90 (define @t209 () (not @t208)) % 210.60/210.90 (define @t210 () (= tptp.zero (tptp.multiplication tptp.zero @t75))) % 210.60/210.90 (define @t211 () (not @t210)) % 210.60/210.90 (define @t212 () (= @t79 @t107)) % 210.60/210.90 (define @t213 () (not @t212)) % 210.60/210.90 (define @t214 () (not @t95)) % 210.60/210.90 (define @t215 () (not @t97)) % 210.60/210.90 (define @t216 () (not @t99)) % 210.60/210.90 (define @t217 () (= tptp.zero @t194)) % 210.60/210.90 (define @t218 () (not @t217)) % 210.60/210.90 (define @t219 () (tptp.addition @t98 @t80)) % 210.60/210.90 (define @t220 () (and @t185 @t186)) % 210.60/210.90 (assume @p1 @t5) % 210.60/210.90 (assume @p2 (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6)))) % 210.60/210.90 (assume @p3 @t10) % 210.60/210.90 (assume @p4 (forall @t9 (= (tptp.addition @t1 @t1) @t1))) % 210.60/210.90 (assume @p5 (forall @t13 (= (tptp.multiplication @t1 @t12) (tptp.multiplication @t11 @t6)))) % 210.60/210.90 (assume @p6 @t15) % 210.60/210.90 (assume @p7 @t17) % 210.60/210.90 (assume @p8 (forall @t13 (= (tptp.multiplication @t1 @t7) (tptp.addition @t11 @t18)))) % 210.60/210.90 (assume @p9 (forall @t13 (= (tptp.multiplication @t3 @t6) (tptp.addition @t18 @t12)))) % 210.60/210.90 (assume @p10 @t20) % 210.60/210.90 (assume @p11 @t22) % 210.60/210.90 (assume @p12 @t25) % 210.60/210.90 (assume @p13 @t34) % 210.60/210.90 (assume @p14 @t41) % 210.60/210.90 (assume @p15 (forall @t40 (=> @t31 (= (= @t42 @t27) (tptp.complement @t26 @t27))))) % 210.60/210.90 (assume @p16 (forall @t33 (=> (not @t31) (= @t42 tptp.zero)))) % 210.60/210.90 (assume @p17 @t57) % 210.60/210.90 (assume @p18 (forall @t56 (= (tptp.ismeetu @t43 @t26 @t27) (forall @t49 (= @t48 @t45))))) % 210.60/210.90 (assume @p19 @t64) % 210.60/210.90 (assume @p20 true) % 210.60/210.90 (step @p21 :rule eq-symm :args (@t19 tptp.zero)) % 210.60/210.90 (step @p22 :rule cong :premises (@p21) :args (@t20)) % 210.60/210.90 (step @p23 :rule eq_resolve :premises (@p10 @p22)) % 210.60/210.90 (step @p24 :rule instantiate :premises (@p23) :args (@t70)) % 210.60/210.90 (step @p25 :rule eq-symm :args (@t35 tptp.one)) % 210.60/210.90 (step @p26 :rule eq-symm :args (@t36 tptp.zero)) % 210.60/210.90 (step @p27 :rule eq-symm :args (@t37 tptp.zero)) % 210.60/210.90 (step @p28 :rule nary_cong :premises (@p27 @p26 @p25) :args (@t38)) % 210.60/210.90 (step @p29 :rule refl :args (@t28)) % 210.60/210.90 (step @p30 :rule cong :premises (@p29 @p28) :args (@t39)) % 210.60/210.90 (step @p31 :rule cong :premises (@p30) :args (@t41)) % 210.60/210.90 (step @p32 :rule 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((tptp.multiplication @t69 @t94))) % 203.43/210.90 (step @p247 :rule instantiate :premises (@p8) :args ((@list @t69 @t69 @t72))) % 203.43/210.90 (step @p248 :rule symm :premises (@p247)) % 203.43/210.90 (step @p249 :rule refl :args (@t161)) % 203.43/210.90 (step @p250 :rule cong :premises (@p249 @p80) :args ((tptp.addition @t161 tptp.zero))) % 203.43/210.90 (step @p251 :rule instantiate :premises (@p89) :args ((@list @t161))) % 203.43/210.90 (step @p252 :rule trans :premises (@p251 @p250 @p248 @p246 @p245)) % 203.43/210.90 (step @p253 :rule cong :premises (@p252 @p240) :args ((tptp.multiplication @t161 @t77))) % 203.43/210.90 (step @p254 :rule instantiate :premises (@p5) :args ((@list @t69 @t69 @t77))) % 203.43/210.90 (step @p255 :rule trans :premises (@p254 @p253)) % 203.43/210.90 (step @p256 :rule refl :args (@t162)) % 203.43/210.90 (step @p257 :rule cong :premises (@p256 @p255) :args ((tptp.addition @t162 @t163))) % 203.43/210.90 (step @p258 :rule instantiate :premises (@p8) :args ((@list @t69 @t112 @t78))) % 203.43/210.90 (step @p259 :rule instantiate :premises (@p110) :args ((@list @t112 @t78))) % 203.43/210.90 (step @p260 :rule bool-double-not-elim :args (@t140)) % 203.43/210.90 (step @p261 :rule nary_cong :premises (@p176 @p260) :args ((or @t142 (not @t141)))) % 203.43/210.90 (step @p262 :rule cnf_or_neg :args (@t142 0)) % 203.43/210.90 (step @p263 :rule eq_resolve :premises (@p262 @p261)) % 203.43/210.90 (step @p264 :rule reordering :premises (@p263) :args ((or @t140 @t142))) % 203.43/210.90 (step @p265 :rule chain_m_resolution :premises (@p264 @p174) :args (@t140 @t86 @t143)) % 203.43/210.90 (step @p266 :rule cnf_equiv_pos1 :args (@t165)) % 203.43/210.90 (step @p267 :rule reordering :premises (@p266) :args ((or @t141 @t164 (not @t165)))) % 203.43/210.90 (step @p268 :rule chain_m_resolution :premises (@p267 @p265 @p259) :args (@t164 @t90 (@list @t140 @t165))) % 203.43/210.90 (step @p269 :rule cong :premises (@p146 @p268) :args (@t163)) % 203.43/210.90 (step @p270 :rule symm :premises (@p254)) % 203.43/210.90 (step @p271 :rule symm :premises (@p253)) % 203.43/210.90 (step @p272 :rule trans :premises (@p271 @p270 @p269 @p258 @p257 @p239)) % 203.43/210.90 (step @p273 :rule instantiate :premises (@p8) :args ((@list @t72 @t112 @t77))) % 203.43/210.90 (step @p274 :rule symm :premises (@p273)) % 203.43/210.90 (step @p275 :rule refl :args (@t166)) % 203.43/210.90 (step @p276 :rule symm :premises (@p200)) % 203.43/210.90 (step @p277 :rule symm :premises (@p94)) % 203.43/210.90 (step @p278 :rule symm :premises (@p83)) % 203.43/210.90 (step @p279 :rule cong :premises (@p278 @p209) :args (@t167)) % 203.43/210.90 (step @p280 :rule trans :premises (@p191 @p279 @p277)) % 203.43/210.90 (step @p281 :rule refl :args (@t151)) % 203.43/210.90 (step @p282 :rule cong :premises (@p281 @p280) :args (@t169)) % 203.43/210.90 (step @p283 :rule refl :args (@t72)) % 203.43/210.90 (step @p284 :rule cong :premises (@p283 @p184) :args (@t168)) % 203.43/210.90 (step @p285 :rule symm :premises (@p191)) % 203.43/210.90 (step @p286 :rule symm :premises (@p279)) % 203.43/210.90 (step @p287 :rule symm :premises (@p80)) % 203.43/210.90 (step @p288 :rule trans :premises (@p287 @p94 @p286 @p285 @p284 @p193 @p282 @p276)) % 203.43/210.90 (step @p289 :rule trans :premises (@p80 @p288)) % 203.43/210.90 (step @p290 :rule cong :premises (@p289 @p275) :args (@t170)) % 203.43/210.90 (step @p291 :rule trans :premises (@p290 @p274)) % 203.43/210.90 (step @p292 :rule cong :premises (@p291 @p272) :args ((tptp.addition @t170 @t78))) % 203.43/210.90 (step @p293 :rule instantiate :premises (@p2) :args ((@list @t78 @t166 tptp.zero))) % 203.43/210.90 (step @p294 :rule instantiate :premises (@p9) :args ((@list @t72 @t69 @t77))) % 203.43/210.90 (step @p295 :rule symm :premises (@p234)) % 203.43/210.90 (step @p296 :rule cong :premises (@p295 @p240) :args (@t157)) % 203.43/210.90 (step @p297 :rule trans :premises (@p227 @p296 @p294)) % 203.43/210.90 (step @p298 :rule refl :args (tptp.zero)) % 203.43/210.90 (step @p299 :rule cong :premises (@p298 @p297) :args ((tptp.addition tptp.zero @t77))) % 203.43/210.90 (step @p300 :rule symm :premises (@p160)) % 203.43/210.90 (step @p301 :rule cong :premises (@p298 @p300) :args ((tptp.addition tptp.zero @t127))) % 203.43/210.90 (step @p302 :rule instantiate :premises (@p2) :args ((@list @t77 @t79 tptp.zero))) % 203.43/210.90 (step @p303 :rule symm :premises (@p302)) % 203.43/210.90 (step @p304 :rule trans :premises (@p90 @p105)) % 203.43/210.90 (step @p305 :rule cong :premises (@p304 @p240) :args (@t127)) % 203.43/210.90 (step @p306 :rule trans :premises (@p160 @p305 @p303 @p301 @p299 @p293 @p292 @p237 @p235 @p231 @p230)) % 203.43/210.90 (step @p307 :rule cnf_equiv_pos2 :args (@t173)) % 203.43/210.90 (step @p308 :rule reordering :premises (@p307) :args ((or @t172 (not @t171) (not @t173)))) % 203.43/210.90 (step @p309 :rule chain_m_resolution :premises (@p308 @p306 @p226) :args (@t172 @t90 (@list @t171 @t173))) % 203.43/210.90 (step @p310 :rule cnf_or_pos :args (@t177)) % 203.43/210.90 (step @p311 :rule reordering :premises (@p310) :args ((or @t176 @t175 @t174 (not @t177)))) % 203.43/210.90 (step @p312 :rule chain_m_resolution :premises (@p311 @p309 @p225 @p205) :args (@t174 (@list false false false) (@list @t172 @t155 @t177))) % 203.43/210.90 (step @p313 :rule cnf_equiv_pos1 :args (@t180)) % 203.43/210.90 (step @p314 :rule reordering :premises (@p313) :args ((or (not @t174) @t179 (not @t180)))) % 203.43/210.90 (step @p315 :rule chain_m_resolution :premises (@p314 @p312 @p201) :args (@t179 @t90 (@list @t174 @t180))) % 203.43/210.90 (step @p316 :rule instantiate :premises (@p2) :args ((@list @t80 @t162 @t98))) % 203.43/210.90 (step @p317 :rule refl :args (@t186)) % 203.43/210.90 (step @p318 :rule refl :args (@t188)) % 203.43/210.90 (step @p319 :rule refl :args (@t191)) % 203.43/210.90 (step @p320 :rule refl :args (@t193)) % 203.43/210.90 (step @p321 :rule refl :args (@t197)) % 203.43/210.90 (step @p322 :rule refl :args (@t199)) % 203.43/210.90 (step @p323 :rule refl :args (@t202)) % 203.43/210.90 (step @p324 :rule refl :args (@t204)) % 203.43/210.90 (step @p325 :rule refl :args (@t205)) % 203.43/210.90 (step @p326 :rule refl :args (@t206)) % 203.43/210.90 (step @p327 :rule refl :args (@t207)) % 203.43/210.90 (step @p328 :rule bool-double-not-elim :args (@t147)) % 203.43/210.90 (step @p329 :rule refl :args (@t209)) % 203.43/210.90 (step @p330 :rule refl :args (@t211)) % 203.43/210.90 (step @p331 :rule refl :args (@t213)) % 203.43/210.90 (step @p332 :rule refl :args (@t214)) % 203.43/210.90 (step @p333 :rule refl :args (@t215)) % 203.43/210.90 (step @p334 :rule refl :args (@t216)) % 203.43/210.90 (step @p335 :rule refl :args (@t218)) % 203.43/210.90 (step @p336 :rule nary_cong :premises (@p335 @p334 @p333 @p332 @p331 @p330 @p329 @p328 @p327 @p326 @p325 @p324 @p323 @p322 @p321 @p320 @p319 @p318 @p317) :args ((or @t218 @t216 @t215 @t214 @t213 @t211 @t209 (not @t149) @t207 @t206 @t205 @t204 @t202 @t199 @t197 @t193 @t191 @t188 @t186))) % 203.43/210.90 (assume-push @p420 @t185) % 203.43/210.90 (assume-push @p421 @t186) % 203.43/210.90 (step @p339 :rule evaluate :args ((= false true))) % 203.43/210.90 (step @p340 :rule true_intro :premises (@p316)) % 203.43/210.90 (step @p341 :rule false_intro :premises (@p190)) % 203.43/210.90 (step @p342 :rule refl :args (@t80)) % 203.43/210.90 (step @p343 :rule cong :premises (@p234 @p215) :args (@t189)) % 203.43/210.90 (step @p344 :rule symm :premises (@p199)) % 203.43/210.90 (step @p345 :rule cong :premises (@p288 @p256) :args (@t181)) % 203.43/210.90 (step @p346 :rule trans :premises (@p345 @p344 @p343 @p229)) % 203.43/210.90 (step @p347 :rule cong :premises (@p346 @p342) :args (@t182)) % 203.43/210.90 (step @p348 :rule symm :premises (@p90)) % 203.43/210.90 (step @p100 :rule instantiate :premises (@p1) :args (@t109)) % 203.43/210.90 (step @p349 :rule trans :premises (@p100 @p348)) % 203.43/210.90 (step @p350 :rule cong :premises (@p146 @p349) :args (@t195)) % 203.43/210.90 (step @p351 :rule symm :premises (@p194)) % 203.43/210.90 (step @p352 :rule trans :premises (@p287 @p24)) % 203.43/210.90 (step @p353 :rule cong :premises (@p352 @p342) :args (@t219)) % 203.43/210.90 (step @p354 :rule symm :premises (@p315)) % 203.43/210.90 (step @p355 :rule cong :premises (@p146 @p354) :args (@t200)) % 203.43/210.90 (step @p356 :rule symm :premises (@p192)) % 203.43/210.90 (step @p357 :rule trans :premises (@p356 @p355)) % 203.43/210.90 (step @p358 :rule refl :args (@t98)) % 203.43/210.90 (step @p359 :rule cong :premises (@p358 @p357) :args (@t184)) % 203.43/210.90 (step @p360 :rule trans :premises (@p359 @p353 @p351 @p350)) % 203.43/210.90 (step @p361 :rule cong :premises (@p360 @p347) :args (@t185)) % 203.43/210.90 (step @p362 :rule trans :premises (@p361 @p341)) % 203.43/210.90 (step @p363 :rule symm :premises (@p362)) % 203.43/210.90 (step @p364 :rule trans :premises (@p363 @p340)) % 203.43/210.90 (step @p365 false :rule eq_resolve :premises (@p364 @p339)) % 203.43/210.90 (step-pop @p422 :rule scope :premises (@p365)) % 203.43/210.90 (step-pop @p423 :rule scope :premises (@p422)) % 203.43/210.90 (step @p366 :rule process_scope :premises (@p423) :args (false)) % 203.43/210.90 (assume-push @p424 @t217) % 203.43/210.90 (assume-push @p425 @t99) % 203.43/210.91 (assume-push @p426 @t97) % 203.43/210.91 (assume-push @p427 @t95) % 203.43/210.91 (assume-push @p428 @t212) % 203.43/210.91 (assume-push @p429 @t210) % 203.43/210.91 (assume-push @p430 @t208) % 203.43/210.91 (assume-push @p431 @t149) % 203.43/210.91 (assume-push @p432 @t145) % 203.43/210.91 (assume-push @p433 @t179) % 203.43/210.91 (assume-push @p434 @t110) % 203.43/210.91 (assume-push @p435 @t203) % 203.43/210.91 (assume-push @p436 @t201) % 203.43/210.91 (assume-push @p437 @t198) % 203.43/210.91 (assume-push @p438 @t196) % 203.43/210.91 (assume-push @p439 @t192) % 203.43/210.91 (assume-push @p440 @t190) % 203.43/210.91 (assume-push @p441 @t187) % 203.43/210.91 (assume-push @p442 @t185) % 203.43/210.91 (step @p341 :rule false_intro :premises (@p190)) % 203.43/210.91 (step @p342 :rule refl :args (@t80)) % 203.43/210.91 (step @p343 :rule cong :premises (@p234 @p215) :args (@t189)) % 203.43/210.91 (step @p344 :rule symm :premises (@p199)) % 203.43/210.91 (step @p345 :rule cong :premises (@p288 @p256) :args (@t181)) % 203.43/210.91 (step @p346 :rule trans :premises (@p345 @p344 @p343 @p229)) % 203.43/210.91 (step @p347 :rule cong :premises (@p346 @p342) :args (@t182)) % 203.43/210.91 (step @p348 :rule symm :premises (@p90)) % 203.43/210.91 (step @p100 :rule instantiate :premises (@p1) :args (@t109)) % 203.43/210.91 (step @p349 :rule trans :premises (@p100 @p348)) % 203.43/210.91 (step @p350 :rule cong :premises (@p146 @p349) :args (@t195)) % 203.43/210.91 (step @p351 :rule symm :premises (@p194)) % 203.43/210.91 (step @p352 :rule trans :premises (@p287 @p24)) % 203.43/210.91 (step @p353 :rule cong :premises (@p352 @p342) :args (@t219)) % 203.43/210.91 (step @p354 :rule symm :premises (@p315)) % 203.43/210.91 (step @p355 :rule cong :premises (@p146 @p354) :args (@t200)) % 203.43/210.91 (step @p356 :rule symm :premises (@p192)) % 203.43/210.91 (step @p357 :rule trans :premises (@p356 @p355)) % 203.43/210.91 (step @p358 :rule refl :args (@t98)) % 203.43/210.91 (step @p359 :rule cong :premises (@p358 @p357) :args (@t184)) % 203.43/210.91 (step @p360 :rule trans :premises (@p359 @p353 @p351 @p350)) % 203.43/210.91 (step @p361 :rule cong :premises (@p360 @p347) :args (@t185)) % 203.43/210.91 (step @p388 :rule trans :premises (@p361 @p341)) % 203.43/210.91 (step @p389 :rule false_elim :premises (@p388)) % 203.43/210.91 (step @p390 :rule and_intro :premises (@p316 @p389)) % 203.43/210.91 (step-pop @p443 :rule scope :premises (@p390)) % 203.43/210.91 (step-pop @p444 :rule scope :premises (@p443)) % 203.43/210.91 (step-pop @p445 :rule scope :premises (@p444)) % 203.43/210.91 (step-pop @p446 :rule scope :premises (@p445)) % 203.43/210.91 (step-pop @p447 :rule scope :premises (@p446)) % 203.43/210.91 (step-pop @p448 :rule scope :premises (@p447)) % 203.43/210.91 (step-pop @p449 :rule scope :premises (@p448)) % 203.43/210.91 (step-pop @p450 :rule scope :premises (@p449)) % 203.43/210.91 (step-pop @p451 :rule scope :premises (@p450)) % 203.43/210.91 (step-pop @p452 :rule scope :premises (@p451)) % 203.43/210.91 (step-pop @p453 :rule scope :premises (@p452)) % 203.43/210.91 (step-pop @p454 :rule scope :premises (@p453)) % 203.43/210.91 (step-pop @p455 :rule scope :premises (@p454)) % 203.43/210.91 (step-pop @p456 :rule scope :premises (@p455)) % 203.43/210.91 (step-pop @p457 :rule scope :premises (@p456)) % 203.43/210.91 (step-pop @p458 :rule scope :premises (@p457)) % 203.43/210.91 (step-pop @p459 :rule scope :premises (@p458)) % 203.43/210.91 (step-pop @p460 :rule scope :premises (@p459)) % 203.43/210.91 (step-pop @p461 :rule scope :premises (@p460)) % 203.43/210.91 (step @p391 :rule process_scope :premises (@p461) :args (@t220)) % 203.43/210.91 (step @p411 :rule implies_elim :premises (@p391)) % 203.43/210.91 (step @p412 :rule resolution :premises (@p411 @p366) :args (true @t220)) % 203.43/210.91 (step @p413 :rule not_and :premises (@p412)) % 203.43/210.91 (step @p414 :rule eq_resolve :premises (@p413 @p336)) % 203.43/210.91 (step @p415 false :rule chain_m_resolution :premises (@p414 @p316 @p315 @p200 @p199 @p198 @p194 @p193 @p192 @p191 @p190 @p184 @p105 @p95 @p94 @p90 @p86 @p83 @p80 @p24) :args (false (@list false false false false false false false false false true false false false false false false false false false) (@list @t185 @t179 @t187 @t190 @t192 @t196 @t198 @t201 @t203 @t147 @t145 @t110 @t208 @t210 @t212 @t95 @t97 @t99 @t217))) % 203.43/210.91 ) % 203.43/210.91 % SZS output end Proof % 203.43/210.91 % cvc5 exiting %------------------------------------------------------------------------------