%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE007+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 : n016.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 08:28:02 AM UTC 2026 % Result : Theorem 0.73s 0.98s % Output : Proof 0.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE007+2 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.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 05:10:09 EDT 2026 % 0.17/0.34 % CPUTime : % 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.73/0.98 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.73/0.98 % SZS status Theorem % 0.73/0.98 % SZS output start Proof % 0.73/0.98 ( % 0.73/0.98 (declare-sort $$unsorted 0) % 0.73/0.98 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 0.73/0.98 (declare-const tptp.test (-> $$unsorted Bool)) % 0.73/0.98 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 0.73/0.98 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.73/0.98 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.73/0.98 (declare-const tptp.zero $$unsorted) % 0.73/0.98 (declare-const tptp.one $$unsorted) % 0.73/0.98 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.73/0.98 (define @t1 () (@var "A" $$unsorted)) % 0.73/0.98 (define @t2 () (@var "B" $$unsorted)) % 0.73/0.98 (define @t3 () (tptp.addition @t1 @t2)) % 0.73/0.98 (define @t4 () (@list @t1 @t2)) % 0.73/0.98 (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.73/0.98 (define @t6 () (@var "C" $$unsorted)) % 0.73/0.98 (define @t7 () (tptp.addition @t2 @t6)) % 0.73/0.98 (define @t8 () (@list @t1)) % 0.73/0.98 (define @t9 () (tptp.addition @t1 @t1)) % 0.73/0.98 (define @t10 () (forall @t8 (= @t9 @t1))) % 0.73/0.98 (define @t11 () (tptp.multiplication @t1 @t2)) % 0.73/0.98 (define @t12 () (tptp.multiplication @t2 @t6)) % 0.73/0.98 (define @t13 () (@list @t1 @t2 @t6)) % 0.73/0.98 (define @t14 () (tptp.multiplication @t1 tptp.one)) % 0.73/0.98 (define @t15 () (forall @t8 (= @t14 @t1))) % 0.73/0.98 (define @t16 () (tptp.multiplication tptp.one @t1)) % 0.73/0.98 (define @t17 () (forall @t8 (= @t16 @t1))) % 0.73/0.98 (define @t18 () (tptp.multiplication @t1 @t6)) % 0.73/0.98 (define @t19 () (forall @t13 (= (tptp.multiplication @t1 @t7) (tptp.addition @t11 @t18)))) % 0.73/0.98 (define @t20 () (tptp.leq @t1 @t2)) % 0.73/0.98 (define @t21 () (= @t20 (= @t3 @t2))) % 0.73/0.98 (define @t22 () (forall @t4 @t21)) % 0.73/0.98 (define @t23 () (@var "X0" $$unsorted)) % 0.73/0.98 (define @t24 () (@var "X1" $$unsorted)) % 0.73/0.98 (define @t25 () (tptp.complement @t24 @t23)) % 0.73/0.98 (define @t26 () (@list @t24)) % 0.73/0.98 (define @t27 () (exists @t26 @t25)) % 0.73/0.98 (define @t28 () (tptp.test @t23)) % 0.73/0.98 (define @t29 () (= @t28 @t27)) % 0.73/0.98 (define @t30 () (@list @t23)) % 0.73/0.98 (define @t31 () (forall @t30 @t29)) % 0.73/0.98 (define @t32 () (tptp.addition @t23 @t24)) % 0.73/0.98 (define @t33 () (tptp.multiplication @t24 @t23)) % 0.73/0.98 (define @t34 () (tptp.multiplication @t23 @t24)) % 0.73/0.98 (define @t35 () (and (= @t34 tptp.zero) (= @t33 tptp.zero) (= @t32 tptp.one))) % 0.73/0.98 (define @t36 () (= @t25 @t35)) % 0.73/0.98 (define @t37 () (@list @t23 @t24)) % 0.73/0.98 (define @t38 () (forall @t37 @t36)) % 0.73/0.98 (define @t39 () (tptp.complement @t23 @t24)) % 0.73/0.98 (define @t40 () (tptp.c @t23)) % 0.73/0.98 (define @t41 () (= (= @t40 @t24) @t39)) % 0.73/0.98 (define @t42 () (=> @t28 @t41)) % 0.73/0.98 (define @t43 () (forall @t37 @t42)) % 0.73/0.98 (define @t44 () (not @t28)) % 0.73/0.98 (define @t45 () (tptp.addition @t23 @t40)) % 0.73/0.98 (define @t46 () (tptp.addition (tptp.multiplication @t45 @t24) (tptp.multiplication @t45 (tptp.c @t24)))) % 0.73/0.98 (define @t47 () (and (tptp.leq tptp.one @t46) (tptp.leq @t46 tptp.one))) % 0.73/0.98 (define @t48 () (tptp.test @t24)) % 0.73/0.98 (define @t49 () (and @t48 @t28)) % 0.73/0.98 (define @t50 () (forall @t37 (=> @t49 @t47))) % 0.73/0.98 (define @t51 () (not @t50)) % 0.73/0.98 (define @t52 () (not @t48)) % 0.73/0.98 (define @t53 () (or @t52 @t44 @t47)) % 0.73/0.98 (define @t54 () (forall @t37 @t53)) % 0.73/0.98 (define @t55 () (@quantifiers_skolemize @t54 1)) % 0.73/0.98 (define @t56 () (tptp.c @t55)) % 0.73/0.98 (define @t57 () (@quantifiers_skolemize @t54 0)) % 0.73/0.98 (define @t58 () (tptp.c @t57)) % 0.73/0.98 (define @t59 () (tptp.addition @t57 @t58)) % 0.73/0.98 (define @t60 () (tptp.multiplication @t59 @t56)) % 0.73/0.98 (define @t61 () (tptp.multiplication @t59 @t55)) % 0.73/0.98 (define @t62 () (tptp.addition @t61 @t60)) % 0.73/0.98 (define @t63 () (tptp.leq @t62 tptp.one)) % 0.73/0.98 (define @t64 () (tptp.leq tptp.one @t62)) % 0.73/0.98 (define @t65 () (and @t64 @t63)) % 0.73/0.98 (define @t66 () (tptp.test @t57)) % 0.73/0.98 (define @t67 () (not @t66)) % 0.73/0.98 (define @t68 () (tptp.test @t55)) % 0.73/0.98 (define @t69 () (not @t68)) % 0.73/0.98 (define @t70 () (or @t69 @t67 @t65)) % 0.73/0.98 (define @t71 () (@list true)) % 0.73/0.98 (define @t72 () (@list @t70)) % 0.73/0.98 (define @t73 () (@list tptp.one @t62)) % 0.73/0.98 (define @t74 () (@list @t59)) % 0.73/0.98 (define @t75 () (= @t24 @t40)) % 0.73/0.98 (define @t76 () (= @t39 @t75)) % 0.73/0.98 (define @t77 () (forall @t26 (not (tptp.complement @t24 @t55)))) % 0.73/0.98 (define @t78 () (@quantifiers_skolemize @t77 0)) % 0.73/0.98 (define @t79 () (tptp.complement @t55 @t78)) % 0.73/0.98 (define @t80 () (= @t79 (= @t78 @t56))) % 0.73/0.98 (define @t81 () (or @t69 @t80)) % 0.73/0.98 (define @t82 () (forall @t37 (or @t44 @t76))) % 0.73/0.98 (define @t83 () (@list @t55 @t78)) % 0.73/0.98 (define @t84 () (= @t56 @t78)) % 0.73/0.98 (define @t85 () (= @t79 @t84)) % 0.73/0.98 (define @t86 () (or @t69 @t85)) % 0.73/0.98 (define @t87 () (@list false)) % 0.73/0.98 (define @t88 () (@list @t82)) % 0.73/0.98 (define @t89 () (@list false false)) % 0.73/0.98 (define @t90 () (@list @t55)) % 0.73/0.98 (define @t91 () (not @t77)) % 0.73/0.98 (define @t92 () (= @t68 @t91)) % 0.73/0.98 (define @t93 () (tptp.complement @t78 @t55)) % 0.73/0.98 (define @t94 () (not @t93)) % 0.73/0.98 (define @t95 () (not @t94)) % 0.73/0.98 (define @t96 () (tptp.addition @t55 @t78)) % 0.73/0.98 (define @t97 () (= tptp.one @t96)) % 0.73/0.98 (define @t98 () (= tptp.zero (tptp.multiplication @t78 @t55))) % 0.73/0.98 (define @t99 () (= tptp.zero (tptp.multiplication @t55 @t78))) % 0.73/0.98 (define @t100 () (and @t99 @t98 @t97)) % 0.73/0.98 (define @t101 () (= @t93 @t100)) % 0.73/0.98 (define @t102 () (not @t100)) % 0.73/0.98 (define @t103 () (@list @t100)) % 0.73/0.98 (define @t104 () (tptp.addition @t78 @t55)) % 0.73/0.98 (define @t105 () (= tptp.one @t104)) % 0.73/0.98 (define @t106 () (and @t98 @t99 @t105)) % 0.73/0.98 (define @t107 () (= @t79 @t106)) % 0.73/0.98 (define @t108 () (@list @t78 @t61)) % 0.73/0.98 (define @t109 () (tptp.multiplication @t60 @t59)) % 0.73/0.98 (define @t110 () (tptp.addition @t55 @t109)) % 0.73/0.98 (define @t111 () (tptp.addition @t109 @t55)) % 0.73/0.98 (define @t112 () (= @t110 @t111)) % 0.73/0.98 (define @t113 () (@list @t55 @t109)) % 0.73/0.98 (define @t114 () (= @t111 @t110)) % 0.73/0.98 (define @t115 () (tptp.multiplication @t57 @t56)) % 0.73/0.98 (define @t116 () (tptp.multiplication @t58 @t56)) % 0.73/0.98 (define @t117 () (tptp.addition @t55 @t56)) % 0.73/0.98 (define @t118 () (tptp.multiplication @t58 @t117)) % 0.73/0.98 (define @t119 () (tptp.multiplication @t57 @t117)) % 0.73/0.98 (define @t120 () (@list @t119 @t118)) % 0.73/0.98 (define @t121 () (tptp.addition tptp.one @t61)) % 0.73/0.98 (define @t122 () (@list @t121 @t60)) % 0.73/0.98 (define @t123 () (tptp.complement @t57 @t58)) % 0.73/0.98 (define @t124 () (= @t123 (= @t58 @t58))) % 0.73/0.98 (define @t125 () (or @t67 @t124)) % 0.73/0.98 (define @t126 () (@list @t57 @t58)) % 0.73/0.98 (define @t127 () (or @t67 @t123)) % 0.73/0.98 (define @t128 () (tptp.addition @t58 @t57)) % 0.73/0.98 (define @t129 () (= tptp.one @t128)) % 0.73/0.98 (define @t130 () (and (= tptp.zero (tptp.multiplication @t58 @t57)) (= tptp.zero (tptp.multiplication @t57 @t58)) @t129)) % 0.73/0.98 (define @t131 () (= @t123 @t130)) % 0.73/0.98 (define @t132 () (@list @t130)) % 0.73/0.98 (define @t133 () (@list @t57 @t58 @t117)) % 0.73/0.98 (define @t134 () (@list @t60 @t61 tptp.one)) % 0.73/0.98 (define @t135 () (tptp.multiplication @t59 @t117)) % 0.73/0.98 (define @t136 () (= @t135 @t62)) % 0.73/0.98 (define @t137 () (@list @t59 @t55 @t56)) % 0.73/0.98 (define @t138 () (= @t62 @t135)) % 0.73/0.98 (define @t139 () (@list @t19)) % 0.73/0.98 (define @t140 () (= @t59 @t128)) % 0.73/0.98 (define @t141 () (= @t62 (tptp.addition @t60 @t61))) % 0.73/0.98 (define @t142 () (tptp.addition @t115 @t116)) % 0.73/0.98 (define @t143 () (= @t60 @t142)) % 0.73/0.98 (define @t144 () (tptp.addition @t116 @t115)) % 0.73/0.98 (define @t145 () (= @t142 @t144)) % 0.73/0.98 (define @t146 () (tptp.addition @t121 @t60)) % 0.73/0.98 (define @t147 () (tptp.addition tptp.one @t62)) % 0.73/0.98 (define @t148 () (= @t147 @t146)) % 0.73/0.98 (define @t149 () (tptp.addition @t119 @t118)) % 0.73/0.98 (define @t150 () (= @t135 @t149)) % 0.73/0.98 (define @t151 () (= @t96 @t104)) % 0.73/0.98 (define @t152 () (tptp.addition @t60 @t121)) % 0.73/0.98 (define @t153 () (= @t146 @t152)) % 0.73/0.98 (define @t154 () (tptp.addition @t118 @t119)) % 0.73/0.98 (define @t155 () (= @t149 @t154)) % 0.73/0.98 (define @t156 () (tptp.addition (tptp.multiplication @t116 @t59) (tptp.multiplication @t115 @t59))) % 0.73/0.98 (define @t157 () (tptp.multiplication @t144 @t59)) % 0.73/0.98 (define @t158 () (= @t157 @t156)) % 0.73/0.98 (define @t159 () (tptp.addition @t61 @t78)) % 0.73/0.98 (define @t160 () (= (tptp.addition @t78 @t61) @t159)) % 0.73/0.98 (define @t161 () (= @t60 (tptp.multiplication @t60 tptp.one))) % 0.73/0.98 (define @t162 () (tptp.multiplication tptp.one @t55)) % 0.73/0.98 (define @t163 () (= @t55 @t162)) % 0.73/0.98 (define @t164 () (tptp.multiplication tptp.one @t56)) % 0.73/0.98 (define @t165 () (= @t56 @t164)) % 0.73/0.98 (define @t166 () (tptp.addition @t59 @t59)) % 0.73/0.98 (define @t167 () (= @t59 @t166)) % 0.73/0.98 (define @t168 () (tptp.addition tptp.one @t149)) % 0.73/0.98 (define @t169 () (tptp.addition @t142 @t61)) % 0.73/0.98 (define @t170 () (tptp.addition @t144 @t61)) % 0.73/0.98 (define @t171 () (tptp.addition @t156 @t55)) % 0.73/0.98 (define @t172 () (= @t62 @t147)) % 0.73/0.98 (define @t173 () (and @t140 @t141 @t138 @t143 @t145 @t148 @t150 @t97 @t129 @t151 @t153 @t155 @t158 @t114 @t160 @t161 @t163 @t165 @t84 @t167)) % 0.73/0.98 (define @t174 () (= @t64 @t172)) % 0.73/0.98 (define @t175 () (= tptp.one (tptp.addition @t62 tptp.one))) % 0.73/0.98 (define @t176 () (= @t63 @t175)) % 0.73/0.98 (assume @p1 @t5) % 0.73/0.98 (assume @p2 (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6)))) % 0.73/0.98 (assume @p3 (forall @t8 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.73/0.98 (assume @p4 @t10) % 0.73/0.98 (assume @p5 (forall @t13 (= (tptp.multiplication @t1 @t12) (tptp.multiplication @t11 @t6)))) % 0.73/0.98 (assume @p6 @t15) % 0.73/0.98 (assume @p7 @t17) % 0.73/0.98 (assume @p8 @t19) % 0.73/0.98 (assume @p9 (forall @t13 (= (tptp.multiplication @t3 @t6) (tptp.addition @t18 @t12)))) % 0.73/0.98 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.73/0.98 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.73/0.98 (assume @p12 @t22) % 0.73/0.98 (assume @p13 @t31) % 0.73/0.98 (assume @p14 @t38) % 0.73/0.98 (assume @p15 @t43) % 0.73/0.98 (assume @p16 (forall @t30 (=> @t44 (= @t40 tptp.zero)))) % 0.73/0.98 (assume @p17 @t51) % 0.73/0.98 (assume @p18 true) % 0.73/0.98 (step @p19 :rule aci_norm :args ((= (or (or @t52 @t44) @t47) @t53))) % 0.73/0.98 (step @p20 :rule refl :args (@t47)) % 0.73/0.98 (step @p21 :rule bool-and-de-morgan :args (@t48 @t28 true)) % 0.73/0.98 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or (not @t49) @t47))) % 0.73/0.98 (step @p23 :rule trans :premises (@p22 @p19)) % 0.73/0.98 (step @p24 :rule bool-impl-elim :args (@t49 @t47)) % 0.73/0.98 (step @p25 :rule trans :premises (@p24 @p23)) % 0.73/0.98 (step @p26 :rule cong :premises (@p25) :args (@t50)) % 0.73/0.98 (step @p27 :rule cong :premises (@p26) :args (@t51)) % 0.73/0.98 (step @p28 :rule eq_resolve :premises (@p17 @p27)) % 0.73/0.98 (step @p29 :rule skolemize :premises (@p28)) % 0.73/0.98 (step @p30 :rule cnf_or_neg :args (@t70 2)) % 0.73/0.98 (step @p31 :rule chain_m_resolution :premises (@p30 @p29) :args ((not @t65) @t71 @t72)) % 0.73/0.98 (step @p32 :rule eq-symm :args (@t3 @t2)) % 0.73/0.98 (step @p33 :rule refl :args (@t20)) % 0.73/0.98 (step @p34 :rule cong :premises (@p33 @p32) :args (@t21)) % 0.73/0.98 (step @p35 :rule cong :premises (@p34) :args (@t22)) % 0.73/0.98 (step @p36 :rule eq_resolve :premises (@p12 @p35)) % 0.73/0.98 (step @p37 :rule instantiate :premises (@p36) :args (@t73)) % 0.73/0.98 (step @p38 :rule eq-symm :args (@t9 @t1)) % 0.73/0.98 (step @p39 :rule cong :premises (@p38) :args (@t10)) % 0.73/0.98 (step @p40 :rule eq_resolve :premises (@p4 @p39)) % 0.73/0.98 (step @p41 :rule instantiate :premises (@p40) :args (@t74)) % 0.73/0.98 (step @p42 :rule bool-impl-elim :args (@t28 @t76)) % 0.73/0.98 (step @p43 :rule cong :premises (@p42) :args ((forall @t37 (=> @t28 @t76)))) % 0.73/0.98 (step @p44 :rule eq-symm :args (@t75 @t39)) % 0.73/0.98 (step @p45 :rule refl :args (@t39)) % 0.73/0.98 (step @p46 :rule eq-symm :args (@t40 @t24)) % 0.73/0.98 (step @p47 :rule cong :premises (@p46 @p45) :args (@t41)) % 0.73/0.98 (step @p48 :rule trans :premises (@p47 @p44)) % 0.73/0.98 (step @p49 :rule refl :args (@t28)) % 0.73/0.98 (step @p50 :rule cong :premises (@p49 @p48) :args (@t42)) % 0.73/0.98 (step @p51 :rule cong :premises (@p50) :args (@t43)) % 0.73/0.98 (step @p52 :rule trans :premises (@p51 @p43)) % 0.73/0.98 (step @p53 :rule eq_resolve :premises (@p15 @p52)) % 0.73/0.98 (step @p54 :rule eq-symm :args (@t78 @t56)) % 0.73/0.98 (step @p55 :rule refl :args (@t79)) % 0.73/0.98 (step @p56 :rule cong :premises (@p55 @p54) :args (@t80)) % 0.73/0.98 (step @p57 :rule refl :args (@t69)) % 0.73/0.98 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t81)) % 0.73/0.98 (step @p59 :rule refl :args (@t82)) % 0.73/0.98 (step @p60 :rule cong :premises (@p59 @p58) :args ((=> @t82 @t81))) % 0.73/0.98 (assume-push @p339 @t82) % 0.73/0.98 (step @p62 :rule instantiate :premises (@p53) :args (@t83)) % 0.73/0.98 (step-pop @p340 :rule scope :premises (@p62)) % 0.73/0.98 (step @p63 :rule process_scope :premises (@p340) :args (@t81)) % 0.73/0.98 (step @p65 :rule eq_resolve :premises (@p63 @p60)) % 0.73/0.98 (step @p66 :rule implies_elim :premises (@p65)) % 0.73/0.98 (step @p67 :rule chain_m_resolution :premises (@p66 @p53) :args (@t86 @t87 @t88)) % 0.73/0.98 (step @p68 :rule bool-double-not-elim :args (@t68)) % 0.73/0.98 (step @p69 :rule refl :args (@t70)) % 0.73/0.98 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t70 (not @t69)))) % 0.73/0.98 (step @p71 :rule cnf_or_neg :args (@t70 0)) % 0.73/0.98 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.73/0.98 (step @p73 :rule reordering :premises (@p72) :args ((or @t68 @t70))) % 0.73/0.98 (step @p74 :rule chain_m_resolution :premises (@p73 @p29) :args (@t68 @t71 @t72)) % 0.73/0.98 (step @p75 :rule cnf_or_pos :args (@t86)) % 0.73/0.98 (step @p76 :rule reordering :premises (@p75) :args ((or @t69 @t85 (not @t86)))) % 0.73/0.98 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p67) :args (@t85 @t89 (@list @t68 @t86))) % 0.73/0.98 (step @p78 :rule eq-symm :args (@t32 tptp.one)) % 0.73/0.98 (step @p79 :rule eq-symm :args (@t33 tptp.zero)) % 0.73/0.98 (step @p80 :rule eq-symm :args (@t34 tptp.zero)) % 0.73/0.98 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78) :args (@t35)) % 0.73/0.98 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0.73/0.98 (step @p258 :rule symm :premises (@p153)) % 0.73/0.98 (step @p259 :rule trans :premises (@p258 @p257)) % 0.73/0.98 (step @p260 :rule trans :premises (@p259 @p256 @p250)) % 0.73/0.98 (step @p261 :rule cong :premises (@p260 @p248) :args (@t171)) % 0.73/0.98 (step @p262 :rule symm :premises (@p259)) % 0.73/0.98 (step @p263 :rule cong :premises (@p262 @p244) :args (@t111)) % 0.73/0.98 (step @p147 :rule instantiate :premises (@p1) :args (@t113)) % 0.73/0.98 (step @p264 :rule symm :premises (@p253)) % 0.73/0.98 (step @p265 :rule refl :args (@t56)) % 0.73/0.98 (step @p266 :rule cong :premises (@p246 @p265) :args (@t164)) % 0.73/0.98 (step @p267 :rule symm :premises (@p132)) % 0.73/0.98 (step @p268 :rule trans :premises (@p267 @p136 @p266 @p141 @p264 @p257)) % 0.73/0.98 (step @p269 :rule symm :premises (@p248)) % 0.73/0.98 (step @p270 :rule cong :premises (@p269 @p268) :args (@t159)) % 0.73/0.98 (step @p271 :rule refl :args (@t78)) % 0.73/0.98 (step @p272 :rule cong :premises (@p271 @p248) :args (@t104)) % 0.73/0.98 (step @p298 :rule trans :premises (@p116 @p87 @p272 @p142 @p270 @p147 @p263 @p261 @p243 @p241 @p238 @p200 @p187 @p154)) % 0.73/0.98 (step @p195 :rule instantiate :premises (@p8) :args (@t137)) % 0.73/0.98 (step @p234 :rule symm :premises (@p187)) % 0.73/0.98 (step @p235 :rule trans :premises (@p234 @p195)) % 0.73/0.98 (step @p236 :rule refl :args (tptp.one)) % 0.73/0.98 (step @p237 :rule cong :premises (@p236 @p235) :args (@t168)) % 0.73/0.98 (step @p273 :rule symm :premises (@p186)) % 0.73/0.98 (step @p274 :rule trans :premises (@p202 @p273 @p116 @p87 @p272 @p142 @p270 @p147 @p263 @p261 @p243 @p241 @p238 @p200 @p187)) % 0.73/0.98 (step @p275 :rule cong :premises (@p252 @p274) :args (@t166)) % 0.73/0.98 (step @p299 :rule trans :premises (@p186 @p245 @p41 @p275 @p237 @p188 @p155)) % 0.73/0.98 (step @p300 :rule and_intro :premises (@p188 @p155 @p299 @p298 @p154 @p187 @p200)) % 0.73/0.98 (step @p301 :rule modus_ponens :premises (@p300 @p290)) % 0.73/0.98 (step-pop @p383 :rule scope :premises (@p301)) % 0.73/0.98 (step-pop @p384 :rule scope :premises (@p383)) % 0.73/0.98 (step-pop @p385 :rule scope :premises (@p384)) % 0.73/0.98 (step-pop @p386 :rule scope :premises (@p385)) % 0.73/0.98 (step-pop @p387 :rule scope :premises (@p386)) % 0.73/0.98 (step-pop @p388 :rule scope :premises (@p387)) % 0.73/0.98 (step-pop @p389 :rule scope :premises (@p388)) % 0.73/0.98 (step-pop @p390 :rule scope :premises (@p389)) % 0.73/0.98 (step-pop @p391 :rule scope :premises (@p390)) % 0.73/0.98 (step-pop @p392 :rule scope :premises (@p391)) % 0.73/0.98 (step-pop @p393 :rule scope :premises (@p392)) % 0.73/0.98 (step-pop @p394 :rule scope :premises (@p393)) % 0.73/0.98 (step-pop @p395 :rule scope :premises (@p394)) % 0.73/0.98 (step-pop @p396 :rule scope :premises (@p395)) % 0.73/0.98 (step-pop @p397 :rule scope :premises (@p396)) % 0.73/0.98 (step-pop @p398 :rule scope :premises (@p397)) % 0.73/0.98 (step-pop @p399 :rule scope :premises (@p398)) % 0.73/0.98 (step-pop @p400 :rule scope :premises (@p399)) % 0.73/0.98 (step-pop @p401 :rule scope :premises (@p400)) % 0.73/0.98 (step-pop @p402 :rule scope :premises (@p401)) % 0.73/0.98 (step @p302 :rule process_scope :premises (@p402) :args (@t172)) % 0.73/0.98 (step @p323 :rule implies_elim :premises (@p302)) % 0.73/0.98 (step @p324 :rule cnf_and_neg :args (@t173)) % 0.73/0.98 (step @p325 :rule resolution :premises (@p324 @p323) :args (true @t173)) % 0.73/0.98 (step @p326 :rule reordering :premises (@p325) :args ((or @t172 (not @t140) (not @t141) (not @t138) (not @t143) (not @t145) (not @t148) (not @t150) (not @t97) (not @t129) (not @t151) (not @t153) (not @t155) (not @t158) (not @t114) (not @t160) (not @t161) (not @t163) (not @t165) (not @t84) (not @t167)))) % 0.73/0.98 (step @p327 :rule chain_m_resolution :premises (@p326 @p202 @p201 @p200 @p190 @p189 @p188 @p187 @p116 @p186 @p87 @p155 @p154 @p153 @p152 @p142 @p141 @p137 @p136 @p132 @p41) :args (@t172 (@list false false false false false false false false false false false false false false false false false false false false) (@list @t140 @t141 @t138 @t143 @t145 @t148 @t150 @t97 @t129 @t151 @t153 @t155 @t158 @t114 @t160 @t161 @t163 @t165 @t84 @t167))) % 0.73/0.98 (step @p328 :rule cnf_equiv_pos2 :args (@t174)) % 0.73/0.98 (step @p329 :rule reordering :premises (@p328) :args ((or @t64 (not @t172) (not @t174)))) % 0.73/0.98 (step @p330 :rule chain_m_resolution :premises (@p329 @p327 @p37) :args (@t64 @t89 (@list @t172 @t174))) % 0.73/0.98 (step @p331 :rule instantiate :premises (@p36) :args ((@list @t62 tptp.one))) % 0.73/0.98 (step @p332 :rule instantiate :premises (@p1) :args (@t73)) % 0.73/0.98 (step @p230 :rule symm :premises (@p188)) % 0.73/0.98 (step @p231 :rule symm :premises (@p155)) % 0.73/0.98 (step @p195 :rule instantiate :premises (@p8) :args (@t137)) % 0.73/0.98 (step @p234 :rule symm :premises (@p187)) % 0.73/0.98 (step @p235 :rule trans :premises (@p234 @p195)) % 0.73/0.98 (step @p236 :rule refl :args (tptp.one)) % 0.73/0.98 (step @p237 :rule cong :premises (@p236 @p235) :args (@t168)) % 0.73/0.98 (step @p238 :rule symm :premises (@p201)) % 0.73/0.98 (step @p239 :rule refl :args (@t61)) % 0.73/0.98 (step @p240 :rule symm :premises (@p190)) % 0.73/0.98 (step @p241 :rule cong :premises (@p240 @p239) :args (@t169)) % 0.73/0.98 (step @p242 :rule symm :premises (@p189)) % 0.73/0.98 (step @p243 :rule cong :premises (@p242 @p239) :args (@t170)) % 0.73/0.98 (step @p244 :rule refl :args (@t55)) % 0.73/0.98 (step @p245 :rule symm :premises (@p202)) % 0.73/0.98 (step @p246 :rule trans :premises (@p186 @p245)) % 0.73/0.98 (step @p247 :rule cong :premises (@p246 @p244) :args (@t162)) % 0.73/0.98 (step @p248 :rule trans :premises (@p137 @p247)) % 0.73/0.98 (step @p249 :rule trans :premises (@p242 @p240)) % 0.73/0.98 (step @p250 :rule symm :premises (@p249)) % 0.73/0.98 (step @p251 :rule symm :premises (@p141)) % 0.73/0.98 (step @p252 :rule symm :premises (@p246)) % 0.73/0.98 (step @p253 :rule cong :premises (@p249 @p252) :args (@t157)) % 0.73/0.98 (step @p254 :rule refl :args (@t59)) % 0.73/0.98 (step @p255 :rule cong :premises (@p250 @p254) :args (@t109)) % 0.73/0.98 (step @p256 :rule trans :premises (@p255 @p253 @p251)) % 0.73/0.98 (step @p257 :rule symm :premises (@p255)) % 0.73/0.98 (step @p258 :rule symm :premises (@p153)) % 0.73/0.98 (step @p259 :rule trans :premises (@p258 @p257)) % 0.73/0.98 (step @p260 :rule trans :premises (@p259 @p256 @p250)) % 0.73/0.98 (step @p261 :rule cong :premises (@p260 @p248) :args (@t171)) % 0.73/0.98 (step @p262 :rule symm :premises (@p259)) % 0.73/0.98 (step @p263 :rule cong :premises (@p262 @p244) :args (@t111)) % 0.73/0.98 (step @p147 :rule instantiate :premises (@p1) :args (@t113)) % 0.73/0.98 (step @p264 :rule symm :premises (@p253)) % 0.73/0.98 (step @p265 :rule refl :args (@t56)) % 0.73/0.98 (step @p266 :rule cong :premises (@p246 @p265) :args (@t164)) % 0.73/0.98 (step @p267 :rule symm :premises (@p132)) % 0.73/0.98 (step @p268 :rule trans :premises (@p267 @p136 @p266 @p141 @p264 @p257)) % 0.73/0.98 (step @p269 :rule symm :premises (@p248)) % 0.73/0.98 (step @p270 :rule cong :premises (@p269 @p268) :args (@t159)) % 0.73/0.98 (step @p271 :rule refl :args (@t78)) % 0.73/0.98 (step @p272 :rule cong :premises (@p271 @p248) :args (@t104)) % 0.73/0.98 (step @p273 :rule symm :premises (@p186)) % 0.73/0.98 (step @p274 :rule trans :premises (@p202 @p273 @p116 @p87 @p272 @p142 @p270 @p147 @p263 @p261 @p243 @p241 @p238 @p200 @p187)) % 0.73/0.98 (step @p275 :rule cong :premises (@p252 @p274) :args (@t166)) % 0.73/0.98 (step @p299 :rule trans :premises (@p186 @p245 @p41 @p275 @p237 @p188 @p155)) % 0.73/0.98 (step @p333 :rule trans :premises (@p299 @p231 @p230 @p332)) % 0.73/0.98 (step @p334 :rule cnf_equiv_pos2 :args (@t176)) % 0.73/0.98 (step @p335 :rule reordering :premises (@p334) :args ((or @t63 (not @t175) (not @t176)))) % 0.73/0.98 (step @p336 :rule chain_m_resolution :premises (@p335 @p333 @p331) :args (@t63 @t89 (@list @t175 @t176))) % 0.73/0.98 (step @p337 :rule cnf_and_neg :args (@t65)) % 0.73/0.98 (step @p338 false :rule chain_m_resolution :premises (@p337 @p336 @p330 @p31) :args (false (@list false false true) (@list @t63 @t64 @t65))) % 0.73/0.98 ) % 0.73/0.98 % SZS output end Proof % 0.73/0.98 % cvc5 exiting %------------------------------------------------------------------------------