%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE024+2 : 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 : n019.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 08:28:07 AM UTC 2026 % Result : Theorem 22.53s 22.74s % Output : Proof 22.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE024+2 : 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 % 0.17/0.34 % Computer : n019.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 05:10:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 22.53/22.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 22.53/22.74 --- Run --no-e-matching --full-saturate-quant at 6... % 22.53/22.74 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 22.53/22.74 % SZS status Theorem % 22.53/22.74 % SZS output start Proof % 22.53/22.74 ( % 22.53/22.74 (declare-sort $$unsorted 0) % 22.53/22.74 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 22.53/22.74 (declare-const tptp.test (-> $$unsorted Bool)) % 22.53/22.74 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 22.53/22.74 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 22.53/22.74 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 22.53/22.74 (declare-const tptp.zero $$unsorted) % 22.53/22.74 (declare-const tptp.one $$unsorted) % 22.53/22.74 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 22.53/22.74 (define @t1 () (@var "A" $$unsorted)) % 22.53/22.74 (define @t2 () (@var "B" $$unsorted)) % 22.53/22.74 (define @t3 () (tptp.addition @t1 @t2)) % 22.53/22.74 (define @t4 () (@list @t1 @t2)) % 22.53/22.74 (define @t5 () (@var "C" $$unsorted)) % 22.53/22.74 (define @t6 () (tptp.addition @t2 @t5)) % 22.53/22.74 (define @t7 () (tptp.addition @t1 tptp.zero)) % 22.53/22.74 (define @t8 () (@list @t1)) % 22.53/22.74 (define @t9 () (forall @t8 (= @t7 @t1))) % 22.53/22.74 (define @t10 () (tptp.addition @t1 @t1)) % 22.53/22.74 (define @t11 () (forall @t8 (= @t10 @t1))) % 22.53/22.74 (define @t12 () (tptp.multiplication @t1 @t2)) % 22.53/22.74 (define @t13 () (tptp.multiplication @t2 @t5)) % 22.53/22.74 (define @t14 () (@list @t1 @t2 @t5)) % 22.53/22.74 (define @t15 () (forall @t14 (= (tptp.multiplication @t1 @t13) (tptp.multiplication @t12 @t5)))) % 22.53/22.74 (define @t16 () (tptp.multiplication @t1 tptp.one)) % 22.53/22.74 (define @t17 () (forall @t8 (= @t16 @t1))) % 22.53/22.74 (define @t18 () (tptp.multiplication tptp.one @t1)) % 22.53/22.74 (define @t19 () (forall @t8 (= @t18 @t1))) % 22.53/22.74 (define @t20 () (tptp.multiplication @t1 @t5)) % 22.53/22.74 (define @t21 () (tptp.multiplication @t1 tptp.zero)) % 22.53/22.74 (define @t22 () (forall @t8 (= @t21 tptp.zero))) % 22.53/22.74 (define @t23 () (tptp.multiplication tptp.zero @t1)) % 22.53/22.74 (define @t24 () (forall @t8 (= @t23 tptp.zero))) % 22.53/22.74 (define @t25 () (@var "X0" $$unsorted)) % 22.53/22.74 (define @t26 () (@var "X1" $$unsorted)) % 22.53/22.74 (define @t27 () (tptp.complement @t26 @t25)) % 22.53/22.74 (define @t28 () (@list @t26)) % 22.53/22.74 (define @t29 () (exists @t28 @t27)) % 22.53/22.74 (define @t30 () (tptp.test @t25)) % 22.53/22.74 (define @t31 () (= @t30 @t29)) % 22.53/22.74 (define @t32 () (@list @t25)) % 22.53/22.74 (define @t33 () (forall @t32 @t31)) % 22.53/22.74 (define @t34 () (tptp.addition @t25 @t26)) % 22.53/22.74 (define @t35 () (tptp.multiplication @t26 @t25)) % 22.53/22.74 (define @t36 () (tptp.multiplication @t25 @t26)) % 22.53/22.74 (define @t37 () (and (= @t36 tptp.zero) (= @t35 tptp.zero) (= @t34 tptp.one))) % 22.53/22.74 (define @t38 () (= @t27 @t37)) % 22.53/22.74 (define @t39 () (@list @t25 @t26)) % 22.53/22.74 (define @t40 () (forall @t39 @t38)) % 22.53/22.74 (define @t41 () (tptp.complement @t25 @t26)) % 22.53/22.74 (define @t42 () (tptp.c @t25)) % 22.53/22.74 (define @t43 () (= (= @t42 @t26) @t41)) % 22.53/22.74 (define @t44 () (=> @t30 @t43)) % 22.53/22.74 (define @t45 () (forall @t39 @t44)) % 22.53/22.74 (define @t46 () (not @t30)) % 22.53/22.74 (define @t47 () (=> @t46 (= @t42 tptp.zero))) % 22.53/22.74 (define @t48 () (forall @t32 @t47)) % 22.53/22.74 (define @t49 () (tptp.c @t26)) % 22.53/22.74 (define @t50 () (= (tptp.c @t34) (tptp.multiplication @t42 @t49))) % 22.53/22.74 (define @t51 () (tptp.test @t26)) % 22.53/22.74 (define @t52 () (and @t30 @t51)) % 22.53/22.74 (define @t53 () (forall @t39 (=> @t52 @t50))) % 22.53/22.74 (define @t54 () (= (tptp.c @t36) (tptp.addition @t42 @t49))) % 22.53/22.74 (define @t55 () (forall @t39 (=> @t52 @t54))) % 22.53/22.74 (define @t56 () (@var "X2" $$unsorted)) % 22.53/22.74 (define @t57 () (tptp.c @t56)) % 22.53/22.74 (define @t58 () (tptp.multiplication @t35 @t57)) % 22.53/22.74 (define @t59 () (tptp.multiplication @t49 @t25)) % 22.53/22.74 (define @t60 () (tptp.addition (tptp.multiplication @t25 @t57) @t59)) % 22.53/22.74 (define @t61 () (=> (= @t60 @t59) (= @t58 tptp.zero))) % 22.53/22.74 (define @t62 () (tptp.test @t56)) % 22.53/22.74 (define @t63 () (and @t51 @t62)) % 22.53/22.74 (define @t64 () (=> @t63 @t61)) % 22.53/22.74 (define @t65 () (@list @t25 @t26 @t56)) % 22.53/22.74 (define @t66 () (forall @t65 @t64)) % 22.53/22.74 (define @t67 () (not @t66)) % 22.53/22.74 (define @t68 () (@list tptp.zero)) % 22.53/22.74 (define @t69 () (= tptp.zero @t58)) % 22.53/22.74 (define @t70 () (= @t59 @t60)) % 22.53/22.74 (define @t71 () (not @t70)) % 22.53/22.74 (define @t72 () (not @t62)) % 22.53/22.74 (define @t73 () (not @t51)) % 22.53/22.74 (define @t74 () (or @t73 @t72 @t71 @t69)) % 22.53/22.74 (define @t75 () (=> @t70 @t69)) % 22.53/22.74 (define @t76 () (forall @t65 @t74)) % 22.53/22.74 (define @t77 () (@quantifiers_skolemize @t76 2)) % 22.53/22.74 (define @t78 () (tptp.c @t77)) % 22.53/22.74 (define @t79 () (@quantifiers_skolemize @t76 0)) % 22.53/22.74 (define @t80 () (@quantifiers_skolemize @t76 1)) % 22.53/22.74 (define @t81 () (tptp.multiplication (tptp.multiplication @t80 @t79) @t78)) % 22.53/22.74 (define @t82 () (= tptp.zero @t81)) % 22.53/22.74 (define @t83 () (tptp.c @t80)) % 22.53/22.74 (define @t84 () (tptp.multiplication @t83 @t79)) % 22.53/22.74 (define @t85 () (tptp.multiplication @t79 @t78)) % 22.53/22.74 (define @t86 () (tptp.addition @t85 @t84)) % 22.53/22.74 (define @t87 () (= @t84 @t86)) % 22.53/22.74 (define @t88 () (not @t87)) % 22.53/22.74 (define @t89 () (tptp.test @t77)) % 22.53/22.74 (define @t90 () (not @t89)) % 22.53/22.74 (define @t91 () (tptp.test @t80)) % 22.53/22.74 (define @t92 () (not @t91)) % 22.53/22.74 (define @t93 () (or @t92 @t90 @t88 @t82)) % 22.53/22.74 (define @t94 () (@list true)) % 22.53/22.74 (define @t95 () (@list @t93)) % 22.53/22.74 (define @t96 () (@list @t79)) % 22.53/22.74 (define @t97 () (@list @t78)) % 22.53/22.74 (define @t98 () (@list @t80)) % 22.53/22.74 (define @t99 () (tptp.addition tptp.zero tptp.zero)) % 22.53/22.74 (define @t100 () (= tptp.zero @t99)) % 22.53/22.74 (define @t101 () (tptp.multiplication tptp.zero tptp.zero)) % 22.53/22.74 (define @t102 () (= tptp.zero @t101)) % 22.53/22.74 (define @t103 () (= tptp.one @t99)) % 22.53/22.74 (define @t104 () (= @t79 (tptp.multiplication @t79 tptp.one))) % 22.53/22.74 (define @t105 () (tptp.multiplication @t79 tptp.zero)) % 22.53/22.74 (define @t106 () (= tptp.zero @t105)) % 22.53/22.74 (define @t107 () (= @t78 (tptp.multiplication tptp.one @t78))) % 22.53/22.74 (define @t108 () (tptp.multiplication @t80 tptp.zero)) % 22.53/22.74 (define @t109 () (= tptp.zero @t108)) % 22.53/22.74 (define @t110 () (tptp.multiplication tptp.zero @t78)) % 22.53/22.74 (define @t111 () (= tptp.zero @t110)) % 22.53/22.74 (define @t112 () (and @t100 @t102 @t103 @t104 @t106 @t107 @t109 @t111)) % 22.53/22.74 (define @t113 () (not @t111)) % 22.53/22.74 (define @t114 () (not @t109)) % 22.53/22.74 (define @t115 () (not @t103)) % 22.53/22.74 (define @t116 () (not @t100)) % 22.53/22.74 (define @t117 () (@list @t83 @t80)) % 22.53/22.74 (define @t118 () (= @t26 @t42)) % 22.53/22.74 (define @t119 () (= @t41 @t118)) % 22.53/22.74 (define @t120 () (tptp.complement @t80 @t83)) % 22.53/22.74 (define @t121 () (= @t83 @t83)) % 22.53/22.74 (define @t122 () (or @t92 (= @t120 @t121))) % 22.53/22.74 (define @t123 () (forall @t39 (or @t46 @t119))) % 22.53/22.74 (define @t124 () (@list @t80 @t83)) % 22.53/22.74 (define @t125 () (or @t92 @t120)) % 22.53/22.74 (define @t126 () (@list false)) % 22.53/22.74 (define @t127 () (@list false false)) % 22.53/22.74 (define @t128 () (tptp.addition @t83 @t80)) % 22.53/22.74 (define @t129 () (= tptp.one @t128)) % 22.53/22.74 (define @t130 () (tptp.multiplication @t80 @t83)) % 22.53/22.74 (define @t131 () (= tptp.zero @t130)) % 22.53/22.74 (define @t132 () (= tptp.zero (tptp.multiplication @t83 @t80))) % 22.53/22.74 (define @t133 () (and @t132 @t131 @t129)) % 22.53/22.74 (define @t134 () (= @t120 @t133)) % 22.53/22.74 (define @t135 () (not @t120)) % 22.53/22.74 (define @t136 () (not @t133)) % 22.53/22.74 (define @t137 () (@list @t133)) % 22.53/22.74 (define @t138 () (or @t46 @t73)) % 22.53/22.74 (define @t139 () (not @t52)) % 22.53/22.74 (define @t140 () (forall @t28 (not (tptp.complement @t26 @t83)))) % 22.53/22.74 (define @t141 () (not @t140)) % 22.53/22.74 (define @t142 () (tptp.test @t83)) % 22.53/22.74 (define @t143 () (= @t142 @t141)) % 22.53/22.74 (define @t144 () (not @t143)) % 22.53/22.74 (define @t145 () (@list true false)) % 22.53/22.74 (define @t146 () (tptp.c @t83)) % 22.53/22.74 (define @t147 () (tptp.addition @t83 @t146)) % 22.53/22.74 (define @t148 () (tptp.c @t130)) % 22.53/22.74 (define @t149 () (= @t148 @t147)) % 22.53/22.74 (define @t150 () (not @t142)) % 22.53/22.74 (define @t151 () (or @t92 @t150 @t149)) % 22.53/22.74 (define @t152 () (@list false false false)) % 22.53/22.74 (define @t153 () (= @t80 @t146)) % 22.53/22.74 (define @t154 () (tptp.complement @t83 @t80)) % 22.53/22.74 (define @t155 () (= @t154 @t153)) % 22.53/22.74 (define @t156 () (or @t150 @t155)) % 22.53/22.74 (define @t157 () (= tptp.one (tptp.addition @t80 @t83))) % 22.53/22.74 (define @t158 () (and @t131 @t132 @t157)) % 22.53/22.74 (define @t159 () (= @t154 @t158)) % 22.53/22.74 (define @t160 () (= tptp.zero @t42)) % 22.53/22.74 (define @t161 () (tptp.multiplication @t78 @t78)) % 22.53/22.74 (define @t162 () (tptp.addition @t77 @t77)) % 22.53/22.74 (define @t163 () (tptp.c @t162)) % 22.53/22.74 (define @t164 () (= @t163 @t161)) % 22.53/22.74 (define @t165 () (or @t90 @t90 @t164)) % 22.53/22.74 (define @t166 () (tptp.multiplication @t80 @t85)) % 22.53/22.74 (define @t167 () (= @t166 @t81)) % 22.53/22.74 (define @t168 () (@list @t80 @t79 @t78)) % 22.53/22.74 (define @t169 () (= @t81 @t166)) % 22.53/22.74 (define @t170 () (@list @t15)) % 22.53/22.74 (define @t171 () (tptp.c tptp.zero)) % 22.53/22.74 (define @t172 () (tptp.multiplication @t79 @t161)) % 22.53/22.74 (define @t173 () (tptp.multiplication @t85 @t78)) % 22.53/22.74 (define @t174 () (= @t172 @t173)) % 22.53/22.74 (define @t175 () (= @t173 @t172)) % 22.53/22.74 (define @t176 () (= @t79 (tptp.multiplication tptp.one @t79))) % 22.53/22.74 (define @t177 () (tptp.multiplication tptp.zero @t79)) % 22.53/22.74 (define @t178 () (= tptp.zero @t177)) % 22.53/22.74 (define @t179 () (= @t77 @t162)) % 22.53/22.74 (define @t180 () (tptp.addition @t84 @t79)) % 22.53/22.74 (define @t181 () (tptp.addition @t79 @t84)) % 22.53/22.74 (define @t182 () (= @t181 @t180)) % 22.53/22.74 (define @t183 () (tptp.addition @t83 @t171)) % 22.53/22.74 (define @t184 () (tptp.c @t108)) % 22.53/22.74 (define @t185 () (= @t184 @t183)) % 22.53/22.74 (define @t186 () (tptp.multiplication @t183 @t79)) % 22.53/22.74 (define @t187 () (= @t186 (tptp.addition @t84 (tptp.multiplication @t171 @t79)))) % 22.53/22.74 (define @t188 () (tptp.multiplication @t80 @t84)) % 22.53/22.74 (define @t189 () (= @t188 (tptp.multiplication @t130 @t79))) % 22.53/22.74 (define @t190 () (tptp.multiplication @t84 @t78)) % 22.53/22.74 (define @t191 () (tptp.multiplication @t181 @t78)) % 22.53/22.74 (define @t192 () (= @t191 (tptp.addition @t85 @t190))) % 22.53/22.74 (define @t193 () (tptp.addition @t173 @t190)) % 22.53/22.74 (define @t194 () (= (tptp.multiplication @t86 @t78) @t193)) % 22.53/22.74 (define @t195 () (tptp.multiplication @t80 @t190)) % 22.53/22.74 (define @t196 () (= @t195 (tptp.multiplication @t188 @t78))) % 22.53/22.74 (define @t197 () (and @t87 @t176 @t178 @t109 @t111 @t179 @t182 @t164 @t185 @t131 @t149 @t129 @t153 @t169 @t187 @t189 @t192 @t194 @t175 @t196)) % 22.53/22.74 (define @t198 () (not @t153)) % 22.53/22.74 (define @t199 () (not @t129)) % 22.53/22.74 (define @t200 () (not @t149)) % 22.53/22.74 (define @t201 () (not @t131)) % 22.53/22.74 (define @t202 () (not @t185)) % 22.53/22.74 (define @t203 () (tptp.test tptp.zero)) % 22.53/22.74 (define @t204 () (not @t203)) % 22.53/22.74 (define @t205 () (or @t92 @t204 @t185)) % 22.53/22.74 (define @t206 () (= tptp.zero @t171)) % 22.53/22.74 (define @t207 () (or @t203 @t206)) % 22.53/22.74 (define @t208 () (and @t100 @t206 @t131 @t149 @t129 @t153)) % 22.53/22.74 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 22.53/22.74 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 22.53/22.74 (assume @p3 @t9) % 22.53/22.74 (assume @p4 @t11) % 22.53/22.74 (assume @p5 @t15) % 22.53/22.74 (assume @p6 @t17) % 22.53/22.74 (assume @p7 @t19) % 22.53/22.74 (assume @p8 (forall @t14 (= (tptp.multiplication @t1 @t6) (tptp.addition @t12 @t20)))) % 22.53/22.74 (assume @p9 (forall @t14 (= (tptp.multiplication @t3 @t5) (tptp.addition @t20 @t13)))) % 22.53/22.74 (assume @p10 @t22) % 22.53/22.74 (assume @p11 @t24) % 22.53/22.74 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 22.53/22.74 (assume @p13 @t33) % 22.53/22.74 (assume @p14 @t40) % 22.53/22.74 (assume @p15 @t45) % 22.53/22.74 (assume @p16 @t48) % 22.53/22.74 (assume @p17 @t53) % 22.53/22.74 (assume @p18 @t55) % 22.53/22.74 (assume @p19 @t67) % 22.53/22.74 (assume @p20 true) % 22.53/22.74 (step @p21 :rule eq-symm :args (@t7 @t1)) % 22.53/22.74 (step @p22 :rule cong :premises (@p21) :args (@t9)) % 22.53/22.74 (step @p23 :rule eq_resolve :premises (@p3 @p22)) % 22.53/22.74 (step @p24 :rule instantiate :premises (@p23) :args (@t68)) % 22.53/22.74 (step @p25 :rule aci_norm :args ((= (or (or @t73 @t72) (or @t71 @t69)) @t74))) % 22.53/22.74 (step @p26 :rule bool-impl-elim :args (@t70 @t69)) % 22.53/22.74 (step @p27 :rule bool-and-de-morgan :args (@t51 @t62 true)) % 22.53/22.74 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or (not @t63) @t75))) % 22.53/22.74 (step @p29 :rule trans :premises (@p28 @p25)) % 22.53/22.74 (step @p30 :rule bool-impl-elim :args (@t63 @t75)) % 22.53/22.74 (step @p31 :rule trans :premises (@p30 @p29)) % 22.53/22.74 (step @p32 :rule cong :premises (@p31) :args ((forall @t65 (=> @t63 @t75)))) % 22.53/22.74 (step @p33 :rule eq-symm :args (@t58 tptp.zero)) % 22.53/22.74 (step @p34 :rule eq-symm :args (@t60 @t59)) % 22.53/22.74 (step @p35 :rule cong :premises (@p34 @p33) :args (@t61)) % 22.53/22.74 (step @p36 :rule refl :args (@t63)) % 22.53/22.74 (step @p37 :rule cong :premises (@p36 @p35) :args (@t64)) % 22.53/22.74 (step @p38 :rule cong :premises (@p37) :args (@t66)) % 22.53/22.74 (step @p39 :rule trans :premises (@p38 @p32)) % 22.53/22.74 (step @p40 :rule cong :premises (@p39) :args (@t67)) % 22.53/22.74 (step @p41 :rule eq_resolve :premises (@p19 @p40)) % 22.53/22.74 (step @p42 :rule skolemize :premises (@p41)) % 22.53/22.74 (step @p43 :rule cnf_or_neg :args (@t93 3)) % 22.53/22.74 (step @p44 :rule chain_m_resolution :premises (@p43 @p42) :args ((not @t82) @t94 @t95)) % 22.53/22.74 (step @p45 :rule eq-symm :args (@t21 tptp.zero)) % 22.53/22.74 (step @p46 :rule cong :premises (@p45) :args (@t22)) % 22.53/22.74 (step @p47 :rule eq_resolve :premises (@p10 @p46)) % 22.53/22.74 (step @p48 :rule instantiate :premises (@p47) :args (@t68)) % 22.53/22.74 (step @p49 :rule eq-symm :args (@t16 @t1)) % 22.53/22.74 (step @p50 :rule cong :premises (@p49) :args (@t17)) % 22.53/22.74 (step @p51 :rule eq_resolve :premises (@p6 @p50)) % 22.53/22.74 (step @p52 :rule instantiate :premises (@p51) :args (@t96)) % 22.53/22.74 (step @p53 :rule instantiate :premises (@p47) :args (@t96)) % 22.53/22.74 (step @p54 :rule eq-symm :args (@t18 @t1)) % 22.53/22.74 (step @p55 :rule cong :premises (@p54) :args (@t19)) % 22.53/22.74 (step @p56 :rule eq_resolve :premises (@p7 @p55)) % 22.53/22.74 (step @p57 :rule instantiate :premises (@p56) :args (@t97)) % 22.53/22.74 (step @p58 :rule instantiate :premises (@p47) :args (@t98)) % 22.53/22.74 (step @p59 :rule eq-symm :args (@t23 tptp.zero)) % 22.53/22.74 (step @p60 :rule cong :premises (@p59) :args (@t24)) % 22.53/22.74 (step @p61 :rule eq_resolve :premises (@p11 @p60)) % 22.53/22.74 (step @p62 :rule instantiate :premises (@p61) :args (@t97)) % 22.53/22.74 (assume-push @p478 @t100) % 22.53/22.74 (assume-push @p479 @t102) % 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22.53/22.74 (step @p260 :rule instantiate :premises (@p1) :args ((@list @t79 @t84))) % 22.53/22.74 (step @p261 :rule aci_norm :args ((= (or @t138 @t50) (or @t46 @t73 @t50)))) % 22.53/22.74 (step @p262 :rule refl :args (@t50)) % 22.53/22.74 (step @p263 :rule nary_cong :premises (@p185 @p262) :args ((or @t139 @t50))) % 22.53/22.74 (step @p264 :rule trans :premises (@p263 @p261)) % 22.53/22.74 (step @p265 :rule bool-impl-elim :args (@t52 @t50)) % 22.53/22.74 (step @p266 :rule trans :premises (@p265 @p264)) % 22.53/22.74 (step @p267 :rule cong :premises (@p266) :args (@t53)) % 22.53/22.74 (step @p268 :rule eq_resolve :premises (@p17 @p267)) % 22.53/22.74 (step @p269 :rule instantiate :premises (@p268) :args ((@list @t77 @t77))) % 22.53/22.74 (step @p270 :rule bool-double-not-elim :args (@t89)) % 22.53/22.74 (step @p271 :rule nary_cong :premises (@p165 @p270) :args ((or @t93 (not @t90)))) % 22.53/22.74 (step @p272 :rule cnf_or_neg :args (@t93 1)) % 22.53/22.74 (step @p273 :rule eq_resolve :premises (@p272 @p271)) % 22.53/22.74 (step @p274 :rule reordering :premises (@p273) :args ((or @t89 @t93))) % 22.53/22.74 (step @p275 :rule chain_m_resolution :premises (@p274 @p42) :args (@t89 @t94 @t95)) % 22.53/22.74 (step @p276 :rule cnf_or_pos :args (@t165)) % 22.53/22.74 (step @p277 :rule factoring :premises (@p276)) % 22.53/22.74 (step @p278 :rule reordering :premises (@p277) :args ((or @t90 @t164 (not @t165)))) % 22.53/22.74 (step @p279 :rule chain_m_resolution :premises (@p278 @p275 @p269) :args (@t164 @t127 (@list @t89 @t165))) % 22.53/22.74 (step @p280 :rule eq-symm :args (@t166 @t81)) % 22.53/22.74 (step @p281 :rule refl :args (@t15)) % 22.53/22.74 (step @p282 :rule cong :premises (@p281 @p280) :args ((=> @t15 @t167))) % 22.53/22.74 (assume-push @p514 @t15) % 22.53/22.74 (step @p284 :rule instantiate :premises (@p5) :args (@t168)) % 22.53/22.74 (step-pop @p515 :rule scope :premises (@p284)) % 22.53/22.74 (step @p285 :rule process_scope :premises (@p515) :args (@t167)) % 22.53/22.74 (step @p287 :rule eq_resolve :premises (@p285 @p282)) % 22.53/22.74 (step @p288 :rule implies_elim :premises (@p287)) % 22.53/22.74 (step @p289 :rule chain_m_resolution :premises (@p288 @p5) :args (@t169 @t126 @t170)) % 22.53/22.74 (step @p290 :rule instantiate :premises (@p9) :args ((@list @t83 @t171 @t79))) % 22.53/22.74 (step @p291 :rule instantiate :premises (@p5) :args ((@list @t80 @t83 @t79))) % 22.53/22.74 (step @p292 :rule instantiate :premises (@p9) :args ((@list @t79 @t84 @t78))) % 22.53/22.74 (step @p293 :rule instantiate :premises (@p9) :args ((@list @t85 @t84 @t78))) % 22.53/22.74 (step @p294 :rule eq-symm :args (@t172 @t173)) % 22.53/22.74 (step @p295 :rule cong :premises (@p281 @p294) :args ((=> @t15 @t174))) % 22.53/22.74 (assume-push @p516 @t15) % 22.53/22.74 (step @p297 :rule instantiate :premises (@p5) :args ((@list @t79 @t78 @t78))) % 22.53/22.74 (step-pop @p517 :rule scope :premises (@p297)) % 22.53/22.74 (step @p298 :rule process_scope :premises (@p517) :args (@t174)) % 22.53/22.74 (step @p300 :rule eq_resolve :premises (@p298 @p295)) % 22.53/22.74 (step @p301 :rule implies_elim :premises (@p300)) % 22.53/22.74 (step @p302 :rule chain_m_resolution :premises (@p301 @p5) :args (@t175 @t126 @t170)) % 22.53/22.74 (step @p303 :rule instantiate :premises (@p5) :args ((@list @t80 @t84 @t78))) % 22.53/22.74 (assume-push @p518 @t87) % 22.53/22.74 (assume-push @p519 @t176) % 22.53/22.74 (assume-push @p520 @t178) % 22.53/22.74 (assume-push @p521 @t109) % 22.53/22.74 (assume-push @p522 @t111) % 22.53/22.74 (assume-push @p523 @t179) % 22.53/22.74 (assume-push @p524 @t182) % 22.53/22.74 (assume-push @p525 @t164) % 22.53/22.74 (assume-push @p526 @t185) % 22.53/22.74 (assume-push @p527 @t131) % 22.53/22.74 (assume-push @p528 @t149) % 22.53/22.74 (assume-push @p529 @t129) % 22.53/22.74 (assume-push @p530 @t153) % 22.53/22.74 (assume-push @p531 @t169) % 22.53/22.74 (assume-push @p532 @t187) % 22.53/22.74 (assume-push @p533 @t189) % 22.53/22.74 (assume-push @p534 @t192) % 22.53/22.74 (assume-push @p535 @t194) % 22.53/22.74 (assume-push @p536 @t175) % 22.53/22.74 (assume-push @p537 @t196) % 22.53/22.74 (assume-push @p538 @t169) % 22.53/22.74 (assume-push @p539 @t176) % 22.53/22.74 (assume-push @p540 @t129) % 22.53/22.74 (assume-push @p541 @t153) % 22.53/22.74 (assume-push @p542 @t149) % 22.53/22.74 (assume-push @p543 @t131) % 22.53/22.74 (assume-push @p544 @t109) % 22.53/22.74 (assume-push @p545 @t185) % 22.53/22.74 (assume-push @p546 @t187) % 22.53/22.74 (assume-push @p547 @t182) % 22.53/22.74 (assume-push @p548 @t192) % 22.53/22.74 (assume-push @p549 @t179) % 22.53/22.74 (assume-push @p550 @t164) % 22.53/22.74 (assume-push @p551 @t175) % 22.53/22.74 (assume-push @p552 @t194) % 22.53/22.74 (assume-push @p553 @t87) % 22.53/22.74 (assume-push @p554 @t196) % 22.53/22.74 (assume-push @p555 @t189) % 22.53/22.74 (assume-push @p556 @t178) % 22.53/22.74 (assume-push @p557 @t111) % 22.53/22.74 (step @p284 :rule instantiate :premises (@p5) :args (@t168)) % 22.53/22.74 (step @p80 :rule refl :args (@t78)) % 22.53/22.74 (step @p344 :rule symm :premises (@p254)) % 22.53/22.74 (step @p86 :rule refl :args (@t79)) % 22.53/22.74 (step @p345 :rule symm :premises (@p182)) % 22.53/22.74 (step @p346 :rule symm :premises (@p530)) % 22.53/22.74 (step @p347 :rule refl :args (@t83)) % 22.53/22.74 (step @p348 :rule cong :premises (@p347 @p346) :args (@t147)) % 22.53/22.74 (step @p349 :rule cong :premises (@p179) :args (@t171)) % 22.53/22.74 (step @p350 :rule trans :premises (@p349 @p528 @p348)) % 22.53/22.74 (step @p351 :rule symm :premises (@p58)) % 22.53/22.74 (step @p352 :rule cong :premises (@p351) :args (@t184)) % 22.53/22.74 (step @p353 :rule symm :premises (@p526)) % 22.53/22.74 (step @p354 :rule trans :premises (@p353 @p352)) % 22.53/22.74 (step @p355 :rule trans :premises (@p354 @p350 @p345)) % 22.53/22.74 (step @p356 :rule cong :premises (@p355 @p86) :args (@t186)) % 22.53/22.74 (step @p357 :rule symm :premises (@p290)) % 22.53/22.74 (step @p358 :rule cong :premises (@p354 @p86) :args (@t186)) % 22.53/22.74 (step @p359 :rule symm :premises (@p356)) % 22.53/22.74 (step @p360 :rule trans :premises (@p254 @p359 @p358)) % 22.53/22.74 (step @p361 :rule refl :args (@t84)) % 22.53/22.74 (step @p362 :rule cong :premises (@p361 @p360) :args (@t180)) % 22.53/22.74 (step @p363 :rule trans :premises (@p260 @p362 @p357 @p356 @p344)) % 22.53/22.74 (step @p364 :rule cong :premises (@p363 @p80) :args (@t191)) % 22.53/22.74 (step @p365 :rule symm :premises (@p292)) % 22.53/22.74 (step @p366 :rule refl :args (@t190)) % 22.53/22.74 (step @p367 :rule symm :premises (@p259)) % 22.53/22.74 (step @p368 :rule cong :premises (@p367) :args (@t163)) % 22.53/22.74 (step @p369 :rule symm :premises (@p279)) % 22.53/22.74 (step @p370 :rule trans :premises (@p369 @p368)) % 22.53/22.74 (step @p371 :rule cong :premises (@p86 @p370) :args (@t172)) % 22.53/22.74 (step @p372 :rule trans :premises (@p302 @p371)) % 22.53/22.74 (step @p373 :rule cong :premises (@p372 @p366) :args (@t193)) % 22.53/22.74 (step @p374 :rule cong :premises (@p253 @p80) :args (@t190)) % 22.53/22.74 (step @p375 :rule trans :premises (@p374 @p293 @p373 @p365 @p364)) % 22.53/22.74 (step @p89 :rule refl :args (@t80)) % 22.53/22.74 (step @p376 :rule cong :premises (@p89 @p375) :args (@t195)) % 22.53/22.74 (step @p377 :rule symm :premises (@p303)) % 22.53/22.74 (step @p378 :rule symm :premises (@p291)) % 22.53/22.74 (step @p379 :rule cong :premises (@p179 @p86) :args (@t177)) % 22.53/22.74 (step @p380 :rule trans :premises (@p255 @p379 @p378)) % 22.53/22.74 (step @p381 :rule cong :premises (@p380 @p80) :args (@t110)) % 22.53/22.74 (step @p382 :rule trans :premises (@p62 @p381 @p377 @p376 @p284)) % 22.53/22.74 (step-pop @p558 :rule scope :premises (@p382)) % 22.53/22.74 (step-pop @p559 :rule scope :premises (@p558)) % 22.53/22.74 (step-pop @p560 :rule scope :premises (@p559)) % 22.53/22.75 (step-pop @p561 :rule scope :premises (@p560)) % 22.53/22.75 (step-pop @p562 :rule scope :premises (@p561)) % 22.53/22.75 (step-pop @p563 :rule scope :premises (@p562)) % 22.53/22.75 (step-pop @p564 :rule scope :premises (@p563)) % 22.53/22.75 (step-pop @p565 :rule scope :premises (@p564)) % 22.53/22.75 (step-pop @p566 :rule scope :premises (@p565)) % 22.53/22.75 (step-pop @p567 :rule scope :premises (@p566)) % 22.53/22.75 (step-pop @p568 :rule scope :premises (@p567)) % 22.53/22.75 (step-pop @p569 :rule scope :premises (@p568)) % 22.53/22.75 (step-pop @p570 :rule scope :premises (@p569)) % 22.53/22.75 (step-pop @p571 :rule scope :premises (@p570)) % 22.53/22.75 (step-pop @p572 :rule scope :premises (@p571)) % 22.53/22.75 (step-pop @p573 :rule scope :premises (@p572)) % 22.53/22.75 (step-pop @p574 :rule scope :premises (@p573)) % 22.53/22.75 (step-pop @p575 :rule scope :premises (@p574)) % 22.53/22.75 (step-pop @p576 :rule scope :premises (@p575)) % 22.53/22.75 (step-pop @p577 :rule scope :premises (@p576)) % 22.53/22.75 (step @p383 :rule process_scope :premises (@p577) :args (@t82)) % 22.53/22.75 (step @p404 :rule and_intro :premises (@p289 @p254 @p182 @p530 @p528 @p179 @p58 @p526 @p290 @p260 @p292 @p259 @p279 @p302 @p293 @p253 @p303 @p291 @p255 @p62)) % 22.53/22.75 (step @p405 :rule modus_ponens :premises (@p404 @p383)) % 22.53/22.75 (step-pop @p578 :rule scope :premises (@p405)) % 22.53/22.75 (step-pop @p579 :rule scope :premises (@p578)) % 22.53/22.75 (step-pop @p580 :rule scope :premises (@p579)) % 22.53/22.75 (step-pop @p581 :rule scope :premises (@p580)) % 22.53/22.75 (step-pop @p582 :rule scope :premises (@p581)) % 22.53/22.75 (step-pop @p583 :rule scope :premises (@p582)) % 22.53/22.75 (step-pop @p584 :rule scope :premises (@p583)) % 22.53/22.75 (step-pop @p585 :rule scope :premises (@p584)) % 22.53/22.75 (step-pop @p586 :rule scope :premises (@p585)) % 22.53/22.75 (step-pop @p587 :rule scope :premises (@p586)) % 22.53/22.75 (step-pop @p588 :rule scope :premises (@p587)) % 22.53/22.75 (step-pop @p589 :rule scope :premises (@p588)) % 22.53/22.75 (step-pop @p590 :rule scope :premises (@p589)) % 22.53/22.75 (step-pop @p591 :rule scope :premises (@p590)) % 22.53/22.75 (step-pop @p592 :rule scope :premises (@p591)) % 22.53/22.75 (step-pop @p593 :rule scope :premises (@p592)) % 22.53/22.75 (step-pop @p594 :rule scope :premises (@p593)) % 22.53/22.75 (step-pop @p595 :rule scope :premises (@p594)) % 22.53/22.75 (step-pop @p596 :rule scope :premises (@p595)) % 22.53/22.75 (step-pop @p597 :rule scope :premises (@p596)) % 22.53/22.75 (step @p406 :rule process_scope :premises (@p597) :args (@t82)) % 22.53/22.75 (step @p427 :rule implies_elim :premises (@p406)) % 22.53/22.75 (step @p428 :rule cnf_and_neg :args (@t197)) % 22.53/22.75 (step @p429 :rule resolution :premises (@p428 @p427) :args (true @t197)) % 22.53/22.75 (step @p430 :rule reordering :premises (@p429) :args ((or @t88 @t82 (not @t176) (not @t178) @t114 @t113 (not @t179) (not @t182) (not @t164) @t202 @t201 @t200 @t199 (not @t169) (not @t187) (not @t189) (not @t192) (not @t194) (not @t175) (not @t196) @t198))) % 22.53/22.75 (step @p431 :rule chain_m_resolution :premises (@p430 @p303 @p302 @p293 @p292 @p291 @p290 @p289 @p182 @p179 @p279 @p260 @p259 @p62 @p58 @p255 @p254 @p44 @p253 @p232 @p230 @p217 @p215 @p213 @p192 @p170) :args ((or @t150 @t202) (@list false false false false false false false false false false false false false false false false true false false false false false false false false) (@list @t196 @t175 @t194 @t192 @t189 @t187 @t169 @t129 @t131 @t164 @t182 @t179 @t111 @t109 @t178 @t176 @t82 @t87 @t153 @t154 @t155 @t156 @t149 @t151 @t91))) % 22.53/22.75 (step @p432 :rule chain_m_resolution :premises (@p431 @p211) :args (@t202 @t126 (@list @t142))) % 22.53/22.75 (step @p433 :rule cnf_or_pos :args (@t205)) % 22.53/22.75 (step @p434 :rule reordering :premises (@p433) :args ((or @t92 @t204 @t185 (not @t205)))) % 22.53/22.75 (step @p435 :rule chain_m_resolution :premises (@p434 @p170 @p432 @p247) :args (@t204 (@list false true false) (@list @t91 @t185 @t205))) % 22.53/22.75 (step @p436 :rule cnf_or_pos :args (@t207)) % 22.53/22.75 (step @p437 :rule reordering :premises (@p436) :args ((or @t203 @t206 (not @t207)))) % 22.53/22.75 (step @p438 :rule chain_m_resolution :premises (@p437 @p435 @p246) :args (@t206 @t145 (@list @t203 @t207))) % 22.53/22.75 (assume-push @p598 @t100) % 22.53/22.75 (assume-push @p599 @t206) % 22.53/22.75 (assume-push @p600 @t131) % 22.53/22.75 (assume-push @p601 @t149) % 22.53/22.75 (assume-push @p602 @t129) % 22.53/22.75 (assume-push @p603 @t153) % 22.53/22.75 (assume-push @p604 @t100) % 22.53/22.75 (assume-push @p605 @t206) % 22.53/22.75 (assume-push @p606 @t131) % 22.53/22.75 (assume-push @p607 @t149) % 22.53/22.75 (assume-push @p608 @t153) % 22.53/22.75 (assume-push @p609 @t129) % 22.53/22.75 (step @p451 :rule symm :premises (@p599)) % 22.53/22.75 (step @p452 :rule symm :premises (@p179)) % 22.53/22.75 (step @p453 :rule cong :premises (@p452) :args (@t148)) % 22.53/22.75 (step @p454 :rule symm :premises (@p601)) % 22.53/22.75 (step @p347 :rule refl :args (@t83)) % 22.53/22.75 (step @p455 :rule cong :premises (@p347 @p603) :args (@t128)) % 22.53/22.75 (step @p456 :rule trans :premises (@p182 @p455 @p454 @p453 @p451 @p24)) % 22.53/22.75 (step-pop @p610 :rule scope :premises (@p456)) % 22.53/22.75 (step-pop @p611 :rule scope :premises (@p610)) % 22.53/22.75 (step-pop @p612 :rule scope :premises (@p611)) % 22.53/22.75 (step-pop @p613 :rule scope :premises (@p612)) % 22.53/22.75 (step-pop @p614 :rule scope :premises (@p613)) % 22.53/22.75 (step-pop @p615 :rule scope :premises (@p614)) % 22.53/22.75 (step @p457 :rule process_scope :premises (@p615) :args (@t103)) % 22.53/22.75 (step @p464 :rule and_intro :premises (@p24 @p599 @p179 @p601 @p603 @p182)) % 22.53/22.75 (step @p465 :rule modus_ponens :premises (@p464 @p457)) % 22.53/22.75 (step-pop @p616 :rule scope :premises (@p465)) % 22.53/22.75 (step-pop @p617 :rule scope :premises (@p616)) % 22.53/22.75 (step-pop @p618 :rule scope :premises (@p617)) % 22.53/22.75 (step-pop @p619 :rule scope :premises (@p618)) % 22.53/22.75 (step-pop @p620 :rule scope :premises (@p619)) % 22.53/22.75 (step-pop @p621 :rule scope :premises (@p620)) % 22.53/22.75 (step @p466 :rule process_scope :premises (@p621) :args (@t103)) % 22.53/22.75 (step @p473 :rule implies_elim :premises (@p466)) % 22.53/22.75 (step @p474 :rule cnf_and_neg :args (@t208)) % 22.53/22.75 (step @p475 :rule resolution :premises (@p474 @p473) :args (true @t208)) % 22.53/22.75 (step @p476 :rule reordering :premises (@p475) :args ((or @t103 @t116 (not @t206) @t201 @t200 @t199 @t198))) % 22.53/22.75 (step @p477 false :rule chain_m_resolution :premises (@p476 @p438 @p233 @p214 @p182 @p179 @p122 @p24) :args (false (@list false false false false false true false) (@list @t206 @t153 @t149 @t129 @t131 @t103 @t100))) % 22.53/22.75 ) % 22.53/22.75 % SZS output end Proof % 22.53/22.75 % cvc5 exiting %------------------------------------------------------------------------------