%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM008+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:10:23 AM UTC 2026 % Result : Theorem 28.15s 28.30s % Output : Proof 28.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM008+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.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 : Mon Jun 1 20:27:52 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 28.15/28.30 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.15/28.30 --- Run --no-e-matching --full-saturate-quant at 6... % 28.15/28.30 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.15/28.30 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.15/28.30 % SZS status Theorem % 28.15/28.30 % SZS output start Proof % 28.15/28.30 ( % 28.15/28.30 (declare-sort $$unsorted 0) % 28.15/28.30 (declare-const tptp.rewrite (-> $$unsorted $$unsorted Bool)) % 28.15/28.30 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 28.15/28.30 (declare-const tptp.a $$unsorted) % 28.15/28.30 (declare-const tptp.b $$unsorted) % 28.15/28.30 (declare-const tptp.transitive_reflexive_rewrite (-> $$unsorted $$unsorted Bool)) % 28.15/28.30 (declare-const tptp.c $$unsorted) % 28.15/28.30 (declare-const tptp.goal Bool) % 28.15/28.30 (define @t1 () (@var "A" $$unsorted)) % 28.15/28.30 (define @t2 () (tptp.transitive_reflexive_rewrite tptp.c @t1)) % 28.15/28.30 (define @t3 () (tptp.transitive_reflexive_rewrite tptp.b @t1)) % 28.15/28.30 (define @t4 () (and @t3 @t2)) % 28.15/28.30 (define @t5 () (@list @t1)) % 28.15/28.30 (define @t6 () (forall @t5 (=> @t4 tptp.goal))) % 28.15/28.30 (define @t7 () (tptp.transitive_reflexive_rewrite tptp.a tptp.c)) % 28.15/28.30 (define @t8 () (tptp.transitive_reflexive_rewrite tptp.a tptp.b)) % 28.15/28.30 (define @t9 () (@var "B" $$unsorted)) % 28.15/28.30 (define @t10 () (tptp.equalish @t9 @t1)) % 28.15/28.30 (define @t11 () (tptp.equalish @t1 @t9)) % 28.15/28.30 (define @t12 () (@list @t1 @t9)) % 28.15/28.30 (define @t13 () (forall @t12 (=> @t11 @t10))) % 28.15/28.30 (define @t14 () (tptp.transitive_reflexive_rewrite @t1 @t9)) % 28.15/28.30 (define @t15 () (forall @t12 (=> @t11 @t14))) % 28.15/28.30 (define @t16 () (tptp.rewrite @t1 @t9)) % 28.15/28.30 (define @t17 () (@var "C" $$unsorted)) % 28.15/28.30 (define @t18 () (tptp.transitive_reflexive_rewrite @t1 @t17)) % 28.15/28.30 (define @t19 () (tptp.transitive_reflexive_rewrite @t9 @t17)) % 28.15/28.30 (define @t20 () (and @t14 @t19)) % 28.15/28.30 (define @t21 () (@list @t1 @t9 @t17)) % 28.15/28.30 (define @t22 () (forall @t21 (=> @t20 @t18))) % 28.15/28.30 (define @t23 () (@var "D" $$unsorted)) % 28.15/28.30 (define @t24 () (tptp.transitive_reflexive_rewrite @t17 @t23)) % 28.15/28.30 (define @t25 () (tptp.transitive_reflexive_rewrite @t9 @t23)) % 28.15/28.30 (define @t26 () (and @t25 @t24)) % 28.15/28.30 (define @t27 () (@list @t23)) % 28.15/28.30 (define @t28 () (exists @t27 @t26)) % 28.15/28.30 (define @t29 () (tptp.rewrite @t1 @t17)) % 28.15/28.30 (define @t30 () (and @t16 @t29)) % 28.15/28.30 (define @t31 () (=> @t30 @t28)) % 28.15/28.30 (define @t32 () (forall @t21 @t31)) % 28.15/28.30 (define @t33 () (tptp.rewrite tptp.a @t1)) % 28.15/28.30 (define @t34 () (and @t33 @t14 @t18)) % 28.15/28.30 (define @t35 () (=> @t34 @t28)) % 28.15/28.30 (define @t36 () (forall @t21 @t35)) % 28.15/28.30 (define @t37 () (tptp.transitive_reflexive_rewrite @t17 @t9)) % 28.15/28.30 (define @t38 () (and @t29 @t37)) % 28.15/28.30 (define @t39 () (@list @t17)) % 28.15/28.30 (define @t40 () (exists @t39 @t38)) % 28.15/28.30 (define @t41 () (or @t11 @t40)) % 28.15/28.30 (define @t42 () (=> @t14 @t41)) % 28.15/28.30 (define @t43 () (forall @t12 @t42)) % 28.15/28.30 (define @t44 () (not (tptp.transitive_reflexive_rewrite tptp.c @t23))) % 28.15/28.30 (define @t45 () (not (tptp.rewrite tptp.a @t17))) % 28.15/28.30 (define @t46 () (forall @t39 (or @t45 (not (tptp.transitive_reflexive_rewrite @t17 tptp.b))))) % 28.15/28.30 (define @t47 () (@quantifiers_skolemize @t46 0)) % 28.15/28.30 (define @t48 () (not (tptp.transitive_reflexive_rewrite @t47 @t23))) % 28.15/28.30 (define @t49 () (forall @t27 (or @t48 @t44))) % 28.15/28.30 (define @t50 () (@quantifiers_skolemize @t49 0)) % 28.15/28.30 (define @t51 () (tptp.transitive_reflexive_rewrite @t47 @t50)) % 28.15/28.30 (define @t52 () (tptp.transitive_reflexive_rewrite tptp.c @t50)) % 28.15/28.30 (define @t53 () (not @t52)) % 28.15/28.30 (define @t54 () (not @t51)) % 28.15/28.30 (define @t55 () (or @t54 @t53)) % 28.15/28.30 (define @t56 () (not @t29)) % 28.15/28.30 (define @t57 () (not (forall @t39 (or @t56 (not @t37))))) % 28.15/28.30 (define @t58 () (not @t14)) % 28.15/28.30 (define @t59 () (or @t11 @t57)) % 28.15/28.30 (define @t60 () (forall @t39 (not @t38))) % 28.15/28.30 (define @t61 () (not @t60)) % 28.15/28.30 (define @t62 () (@list tptp.a tptp.b)) % 28.15/28.30 (define @t63 () (not @t19)) % 28.15/28.30 (define @t64 () (not @t2)) % 28.15/28.30 (define @t65 () (not @t3)) % 28.15/28.30 (define @t66 () (or @t65 @t64)) % 28.15/28.30 (define @t67 () (forall @t5 @t66)) % 28.15/28.30 (define @t68 () (or tptp.goal @t67)) % 28.15/28.30 (define @t69 () (or tptp.goal @t66)) % 28.15/28.30 (define @t70 () (or @t65 @t64 tptp.goal)) % 28.15/28.30 (define @t71 () (@list tptp.c)) % 28.15/28.30 (define @t72 () (tptp.transitive_reflexive_rewrite tptp.c tptp.c)) % 28.15/28.30 (define @t73 () (tptp.equalish tptp.c tptp.c)) % 28.15/28.30 (define @t74 () (not @t73)) % 28.15/28.30 (define @t75 () (or @t74 @t72)) % 28.15/28.30 (define @t76 () (@list false false)) % 28.15/28.30 (define @t77 () (not @t72)) % 28.15/28.30 (define @t78 () (tptp.transitive_reflexive_rewrite tptp.b tptp.c)) % 28.15/28.30 (define @t79 () (not @t78)) % 28.15/28.30 (define @t80 () (or @t79 @t77)) % 28.15/28.30 (define @t81 () (not @t7)) % 28.15/28.30 (define @t82 () (tptp.transitive_reflexive_rewrite tptp.b tptp.a)) % 28.15/28.30 (define @t83 () (not @t82)) % 28.15/28.30 (define @t84 () (or @t83 @t81 @t78)) % 28.15/28.30 (define @t85 () (@list false true false)) % 28.15/28.30 (define @t86 () (tptp.equalish tptp.b tptp.a)) % 28.15/28.30 (define @t87 () (not @t86)) % 28.15/28.30 (define @t88 () (or @t87 @t82)) % 28.15/28.30 (define @t89 () (@list true false)) % 28.15/28.30 (define @t90 () (tptp.equalish tptp.a tptp.b)) % 28.15/28.30 (define @t91 () (not @t90)) % 28.15/28.30 (define @t92 () (or @t91 @t86)) % 28.15/28.30 (define @t93 () (not @t46)) % 28.15/28.30 (define @t94 () (not @t8)) % 28.15/28.30 (define @t95 () (or @t94 @t90 @t93)) % 28.15/28.30 (define @t96 () (tptp.rewrite tptp.a @t47)) % 28.15/28.30 (define @t97 () (tptp.transitive_reflexive_rewrite @t47 tptp.b)) % 28.15/28.30 (define @t98 () (not @t97)) % 28.15/28.30 (define @t99 () (not @t96)) % 28.15/28.30 (define @t100 () (or @t99 @t98)) % 28.15/28.30 (define @t101 () (@list true)) % 28.15/28.30 (define @t102 () (@list @t100)) % 28.15/28.30 (define @t103 () (not (forall @t27 (or (not @t25) (not @t24))))) % 28.15/28.30 (define @t104 () (not @t18)) % 28.15/28.30 (define @t105 () (not @t33)) % 28.15/28.30 (define @t106 () (or @t105 @t58 @t104)) % 28.15/28.30 (define @t107 () (forall @t27 (not @t26))) % 28.15/28.30 (define @t108 () (not @t107)) % 28.15/28.30 (define @t109 () (forall @t27 (or (not (tptp.transitive_reflexive_rewrite tptp.b @t23)) (not (tptp.transitive_reflexive_rewrite @t50 @t23))))) % 28.15/28.30 (define @t110 () (not @t109)) % 28.15/28.30 (define @t111 () (or @t99 @t98 @t54 @t110)) % 28.15/28.30 (define @t112 () (@quantifiers_skolemize @t109 0)) % 28.15/28.30 (define @t113 () (tptp.transitive_reflexive_rewrite @t50 @t112)) % 28.15/28.30 (define @t114 () (not @t113)) % 28.15/28.30 (define @t115 () (tptp.transitive_reflexive_rewrite tptp.b @t112)) % 28.15/28.30 (define @t116 () (not @t115)) % 28.15/28.30 (define @t117 () (or @t116 @t114)) % 28.15/28.30 (define @t118 () (not @t117)) % 28.15/28.30 (define @t119 () (tptp.transitive_reflexive_rewrite tptp.c @t112)) % 28.15/28.30 (define @t120 () (not @t119)) % 28.15/28.30 (define @t121 () (or @t116 @t120)) % 28.15/28.30 (define @t122 () (or @t53 @t114 @t119)) % 28.15/28.30 (define @t123 () (not @t55)) % 28.15/28.30 (define @t124 () (not @t49)) % 28.15/28.30 (define @t125 () (forall @t39 (or @t45 (not (tptp.transitive_reflexive_rewrite @t17 tptp.c))))) % 28.15/28.30 (define @t126 () (@quantifiers_skolemize @t125 0)) % 28.15/28.30 (define @t127 () (forall @t27 (or (not (tptp.transitive_reflexive_rewrite @t126 @t23)) @t48))) % 28.15/28.30 (define @t128 () (@quantifiers_skolemize @t127 0)) % 28.15/28.30 (define @t129 () (forall @t27 (or @t44 (not (tptp.transitive_reflexive_rewrite @t128 @t23))))) % 28.15/28.30 (define @t130 () (@quantifiers_skolemize @t129 0)) % 28.15/28.30 (define @t131 () (not @t16)) % 28.15/28.30 (define @t132 () (@list tptp.a tptp.c)) % 28.15/28.30 (define @t133 () (@list tptp.b)) % 28.15/28.30 (define @t134 () (tptp.transitive_reflexive_rewrite tptp.b tptp.b)) % 28.15/28.30 (define @t135 () (tptp.equalish tptp.b tptp.b)) % 28.15/28.30 (define @t136 () (not @t135)) % 28.15/28.30 (define @t137 () (or @t136 @t134)) % 28.15/28.30 (define @t138 () (tptp.transitive_reflexive_rewrite tptp.c tptp.b)) % 28.15/28.30 (define @t139 () (not @t138)) % 28.15/28.30 (define @t140 () (not @t134)) % 28.15/28.30 (define @t141 () (or @t140 @t139)) % 28.15/28.30 (define @t142 () (tptp.transitive_reflexive_rewrite tptp.c tptp.a)) % 28.15/28.30 (define @t143 () (not @t142)) % 28.15/28.30 (define @t144 () (or @t143 @t94 @t138)) % 28.15/28.30 (define @t145 () (tptp.equalish tptp.c tptp.a)) % 28.15/28.30 (define @t146 () (not @t145)) % 28.15/28.30 (define @t147 () (or @t146 @t142)) % 28.15/28.30 (define @t148 () (tptp.equalish tptp.a tptp.c)) % 28.15/28.30 (define @t149 () (not @t148)) % 28.15/28.30 (define @t150 () (or @t149 @t145)) % 28.15/28.30 (define @t151 () (not @t125)) % 28.15/28.30 (define @t152 () (or @t81 @t148 @t151)) % 28.15/28.30 (define @t153 () (tptp.rewrite tptp.a @t126)) % 28.15/28.30 (define @t154 () (tptp.transitive_reflexive_rewrite @t126 tptp.c)) % 28.15/28.30 (define @t155 () (not @t154)) % 28.15/28.30 (define @t156 () (not @t153)) % 28.15/28.30 (define @t157 () (or @t156 @t155)) % 28.15/28.30 (define @t158 () (@list @t157)) % 28.15/28.30 (define @t159 () (not @t127)) % 28.15/28.30 (define @t160 () (or @t156 @t99 @t159)) % 28.15/28.30 (define @t161 () (@list false false false)) % 28.15/28.30 (define @t162 () (tptp.transitive_reflexive_rewrite @t126 @t128)) % 28.15/28.30 (define @t163 () (tptp.transitive_reflexive_rewrite @t47 @t128)) % 28.15/28.30 (define @t164 () (not @t163)) % 28.15/28.30 (define @t165 () (not @t162)) % 28.15/28.30 (define @t166 () (or @t165 @t164)) % 28.15/28.30 (define @t167 () (@list @t166)) % 28.15/28.30 (define @t168 () (not @t129)) % 28.15/28.30 (define @t169 () (or @t156 @t155 @t165 @t168)) % 28.15/28.30 (define @t170 () (tptp.transitive_reflexive_rewrite @t128 @t130)) % 28.15/28.30 (define @t171 () (not @t170)) % 28.15/28.30 (define @t172 () (tptp.transitive_reflexive_rewrite tptp.c @t130)) % 28.15/28.30 (define @t173 () (not @t172)) % 28.15/28.30 (define @t174 () (or @t173 @t171)) % 28.15/28.30 (define @t175 () (@list @t174)) % 28.15/28.30 (define @t176 () (tptp.transitive_reflexive_rewrite @t47 @t130)) % 28.15/28.30 (define @t177 () (or @t164 @t171 @t176)) % 28.15/28.30 (define @t178 () (not @t176)) % 28.15/28.30 (define @t179 () (or @t178 @t173)) % 28.15/28.30 (define @t180 () (not @t179)) % 28.15/28.30 (assume @p1 @t6) % 28.15/28.30 (assume @p2 (and @t8 @t7)) % 28.15/28.30 (assume @p3 (forall @t5 (tptp.equalish @t1 @t1))) % 28.15/28.30 (assume @p4 @t13) % 28.15/28.30 (assume @p5 @t15) % 28.15/28.30 (assume @p6 (forall @t12 (=> @t16 @t14))) % 28.15/28.30 (assume @p7 @t22) % 28.15/28.30 (assume @p8 @t32) % 28.15/28.30 (assume @p9 @t36) % 28.15/28.30 (assume @p10 @t43) % 28.15/28.30 (assume @p11 (not tptp.goal)) % 28.15/28.30 (assume @p12 true) % 28.15/28.30 (step @p13 :rule bool-double-not-elim :args (@t51)) % 28.15/28.30 (step @p14 :rule refl :args (@t55)) % 28.15/28.30 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or @t55 (not @t54)))) % 28.15/28.30 (step @p16 :rule cnf_or_neg :args (@t55 0)) % 28.15/28.30 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 28.15/28.30 (step @p18 :rule reordering :premises (@p17) :args ((or @t51 @t55))) % 28.15/28.30 (step @p19 :rule bool-double-not-elim :args (@t52)) % 28.15/28.30 (step @p20 :rule nary_cong :premises (@p14 @p19) :args ((or @t55 (not @t53)))) % 28.15/28.30 (step @p21 :rule cnf_or_neg :args (@t55 1)) % 28.15/28.30 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 28.15/28.30 (step @p23 :rule reordering :premises (@p22) :args ((or @t52 @t55))) % 28.15/28.30 (step @p24 :rule aci_norm :args ((= (or @t58 @t59) (or @t58 @t11 @t57)))) % 28.15/28.30 (step @p25 :rule bool-impl-elim :args (@t14 @t59)) % 28.15/28.30 (step @p26 :rule trans :premises (@p25 @p24)) % 28.15/28.30 (step @p27 :rule cong :premises (@p26) :args ((forall @t12 (=> @t14 @t59)))) % 28.15/28.30 (step @p28 :rule bool-and-de-morgan :args (@t29 @t37 true)) % 28.15/28.30 (step @p29 :rule cong :premises (@p28) :args (@t60)) % 28.15/28.30 (step @p30 :rule cong :premises (@p29) :args (@t61)) % 28.15/28.30 (step @p31 :rule exists-elim :args ((= @t40 @t61))) % 28.15/28.30 (step @p32 :rule trans :premises (@p31 @p30)) % 28.15/28.30 (step @p33 :rule refl :args (@t11)) % 28.15/28.30 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t41)) % 28.15/28.30 (step @p35 :rule refl :args (@t14)) % 28.15/28.30 (step @p36 :rule cong :premises (@p35 @p34) :args (@t42)) % 28.15/28.30 (step @p37 :rule cong :premises (@p36) :args (@t43)) % 28.15/28.30 (step @p38 :rule trans :premises (@p37 @p27)) % 28.15/28.30 (step @p39 :rule eq_resolve :premises (@p10 @p38)) % 28.15/28.30 (step @p40 :rule instantiate :premises (@p39) :args (@t62)) % 28.15/28.30 (step @p41 :rule bool-impl-elim :args (@t11 @t10)) % 28.15/28.30 (step @p42 :rule cong :premises (@p41) :args (@t13)) % 28.15/28.30 (step @p43 :rule eq_resolve :premises (@p4 @p42)) % 28.15/28.30 (step @p44 :rule instantiate :premises (@p43) :args (@t62)) % 28.15/28.30 (step @p45 :rule bool-impl-elim :args (@t11 @t14)) % 28.15/28.30 (step @p46 :rule cong :premises (@p45) :args (@t15)) % 28.15/28.30 (step @p47 :rule eq_resolve :premises (@p5 @p46)) % 28.15/28.30 (step @p48 :rule instantiate :premises (@p47) :args ((@list tptp.b tptp.a))) % 28.15/28.30 (step @p49 :rule aci_norm :args ((= (or (or @t58 @t63) @t18) (or @t58 @t63 @t18)))) % 28.15/28.30 (step @p50 :rule refl :args (@t18)) % 28.15/28.30 (step @p51 :rule bool-and-de-morgan :args (@t14 @t19 true)) % 28.15/28.30 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or (not @t20) @t18))) % 28.15/28.30 (step @p53 :rule trans :premises (@p52 @p49)) % 28.15/28.30 (step @p54 :rule bool-impl-elim :args (@t20 @t18)) % 28.15/28.30 (step @p55 :rule trans :premises (@p54 @p53)) % 28.15/28.30 (step @p56 :rule cong :premises (@p55) :args (@t22)) % 28.15/28.30 (step @p57 :rule eq_resolve :premises (@p7 @p56)) % 28.15/28.30 (step @p58 :rule instantiate :premises (@p57) :args ((@list tptp.b tptp.a tptp.c))) % 28.15/28.30 (step @p59 :rule aci_norm :args ((= (or false @t67) @t67))) % 28.15/28.30 (step @p60 :rule refl :args (@t67)) % 28.15/28.30 (step @p61 :rule bool-eq-false :args (tptp.goal)) % 28.15/28.30 (step @p62 :rule symm :premises (@p61)) % 28.15/28.30 (step @p63 :rule eq_resolve :premises (@p11 @p62)) % 28.15/28.30 (step @p64 :rule nary_cong :premises (@p63 @p60) :args (@t68)) % 28.15/28.30 (step @p65 :rule trans :premises (@p64 @p59)) % 28.15/28.30 (step @p66 :rule quant-miniscope-or :args ((= (forall @t5 @t69) @t68))) % 28.15/28.30 (step @p67 :rule aci_norm :args ((= @t70 @t69))) % 28.15/28.30 (step @p68 :rule cong :premises (@p67) :args ((forall @t5 @t70))) % 28.15/28.30 (step @p69 :rule trans :premises (@p68 @p66)) % 28.15/28.30 (step @p70 :rule aci_norm :args ((= (or @t66 tptp.goal) @t70))) % 28.15/28.30 (step @p71 :rule refl :args (tptp.goal)) % 28.15/28.30 (step @p72 :rule bool-and-de-morgan :args (@t3 @t2 true)) % 28.15/28.30 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or (not @t4) tptp.goal))) % 28.15/28.30 (step @p74 :rule trans :premises (@p73 @p70)) % 28.15/28.30 (step @p75 :rule bool-impl-elim :args (@t4 tptp.goal)) % 28.15/28.30 (step @p76 :rule trans :premises (@p75 @p74)) % 28.15/28.30 (step @p77 :rule cong :premises (@p76) :args (@t6)) % 28.15/28.30 (step @p78 :rule trans :premises (@p77 @p69)) % 28.15/28.30 (step @p79 :rule trans :premises (@p78 @p65)) % 28.15/28.30 (step @p80 :rule eq_resolve :premises (@p1 @p79)) % 28.15/28.30 (step @p81 :rule instantiate :premises (@p80) :args (@t71)) % 28.15/28.30 (step @p82 :rule instantiate :premises (@p47) :args ((@list tptp.c tptp.c))) % 28.15/28.30 (step @p83 :rule instantiate :premises (@p3) :args (@t71)) % 28.15/28.30 (step @p84 :rule cnf_or_pos :args (@t75)) % 28.15/28.30 (step @p85 :rule reordering :premises (@p84) :args ((or @t74 @t72 (not @t75)))) % 28.15/28.30 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p82) :args (@t72 @t76 (@list @t73 @t75))) % 28.15/28.30 (step @p87 :rule cnf_or_pos :args (@t80)) % 28.15/28.30 (step @p88 :rule reordering :premises (@p87) :args ((or @t79 @t77 (not @t80)))) % 28.15/28.30 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p81) :args (@t79 @t76 (@list @t72 @t80))) % 28.15/28.30 (step @p90 :rule and_elim :premises (@p2) :args (1)) % 28.15/28.30 (step @p91 :rule cnf_or_pos :args (@t84)) % 28.15/28.30 (step @p92 :rule reordering :premises (@p91) :args ((or @t81 @t78 @t83 (not @t84)))) % 28.15/28.30 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p89 @p58) :args (@t83 @t85 (@list @t7 @t78 @t84))) % 28.15/28.30 (step @p94 :rule cnf_or_pos :args (@t88)) % 28.15/28.30 (step @p95 :rule reordering :premises (@p94) :args ((or @t87 @t82 (not @t88)))) % 28.15/28.30 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p48) :args (@t87 @t89 (@list @t82 @t88))) % 28.15/28.30 (step @p97 :rule cnf_or_pos :args (@t92)) % 28.15/28.30 (step @p98 :rule reordering :premises (@p97) :args ((or @t91 @t86 (not @t92)))) % 28.15/28.30 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p44) :args (@t91 @t89 (@list @t86 @t92))) % 28.15/28.30 (step @p100 :rule and_elim :premises (@p2) :args (0)) % 28.15/28.30 (step @p101 :rule cnf_or_pos :args (@t95)) % 28.15/28.30 (step @p102 :rule reordering :premises (@p101) :args ((or @t94 @t90 @t93 (not @t95)))) % 28.15/28.30 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p99 @p40) :args (@t93 @t85 (@list @t8 @t90 @t95))) % 28.15/28.30 (step @p104 :rule skolemize :premises (@p103)) % 28.15/28.30 (step @p105 :rule bool-double-not-elim :args (@t96)) % 28.15/28.30 (step @p106 :rule refl :args (@t100)) % 28.15/28.30 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t100 (not @t99)))) % 28.15/28.30 (step @p108 :rule cnf_or_neg :args (@t100 0)) % 28.15/28.30 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 28.15/28.30 (step @p110 :rule reordering :premises (@p109) :args ((or @t96 @t100))) % 28.15/28.30 (step @p111 :rule chain_m_resolution :premises (@p110 @p104) :args (@t96 @t101 @t102)) % 28.15/28.30 (step @p112 :rule bool-double-not-elim :args (@t97)) % 28.15/28.30 (step @p113 :rule nary_cong :premises (@p106 @p112) :args ((or @t100 (not @t98)))) % 28.15/28.30 (step @p114 :rule cnf_or_neg :args (@t100 1)) % 28.15/28.30 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 28.15/28.30 (step @p116 :rule reordering :premises (@p115) :args ((or @t97 @t100))) % 28.15/28.30 (step @p117 :rule chain_m_resolution :premises (@p116 @p104) :args (@t97 @t101 @t102)) % 28.15/28.30 (step @p118 :rule aci_norm :args ((= (or @t106 @t103) (or @t105 @t58 @t104 @t103)))) % 28.15/28.30 (step @p119 :rule refl :args (@t103)) % 28.15/28.30 (step @p120 :rule aci_norm :args ((= (or @t105 (or @t58 @t104)) @t106))) % 28.15/28.30 (step @p121 :rule bool-and-de-morgan :args (@t14 @t18 true)) % 28.15/28.30 (step @p122 :rule refl :args (@t105)) % 28.15/28.30 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or @t105 (not (and @t14 @t18))))) % 28.15/28.30 (step @p124 :rule bool-and-de-morgan :args (@t33 @t14 (and @t18))) % 28.15/28.30 (step @p125 :rule trans :premises (@p124 @p123)) % 28.15/28.30 (step @p126 :rule trans :premises (@p125 @p120)) % 28.15/28.30 (step @p127 :rule nary_cong :premises (@p126 @p119) :args ((or (not @t34) @t103))) % 28.15/28.30 (step @p128 :rule trans :premises (@p127 @p118)) % 28.15/28.30 (step @p129 :rule bool-impl-elim :args (@t34 @t103)) % 28.15/28.30 (step @p130 :rule trans :premises (@p129 @p128)) % 28.15/28.30 (step @p131 :rule cong :premises (@p130) :args ((forall @t21 (=> @t34 @t103)))) % 28.15/28.30 (step @p132 :rule bool-and-de-morgan :args (@t25 @t24 true)) % 28.15/28.30 (step @p133 :rule cong :premises (@p132) :args (@t107)) % 28.15/28.30 (step @p134 :rule cong :premises (@p133) :args (@t108)) % 28.15/28.30 (step @p135 :rule exists-elim :args ((= @t28 @t108))) % 28.15/28.30 (step @p136 :rule trans :premises (@p135 @p134)) % 28.15/28.30 (step @p137 :rule refl :args (@t34)) % 28.15/28.30 (step @p138 :rule cong :premises (@p137 @p136) :args (@t35)) % 28.15/28.30 (step @p139 :rule cong :premises (@p138) :args (@t36)) % 28.15/28.30 (step @p140 :rule trans :premises (@p139 @p131)) % 28.15/28.30 (step @p141 :rule eq_resolve :premises (@p9 @p140)) % 28.15/28.30 (step @p142 :rule instantiate :premises (@p141) :args ((@list @t47 tptp.b @t50))) % 28.15/28.30 (step @p143 :rule cnf_or_pos :args (@t111)) % 28.15/28.30 (step @p144 :rule reordering :premises (@p143) :args ((or @t99 @t98 @t54 @t110 (not @t111)))) % 28.15/28.30 (step @p145 :rule refl :args (@t118)) % 28.15/28.30 (step @p146 :rule bool-double-not-elim :args (@t109)) % 28.15/28.30 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or (not @t110) @t118))) % 28.15/28.30 (assume-push @p282 @t110) % 28.15/28.30 (step @p149 :rule skolemize :premises (@p282)) % 28.15/28.30 (step-pop @p283 :rule scope :premises (@p149)) % 28.15/28.30 (step @p150 :rule process_scope :premises (@p283) :args (@t118)) % 28.15/28.30 (step @p152 :rule implies_elim :premises (@p150)) % 28.15/28.30 (step @p153 :rule eq_resolve :premises (@p152 @p147)) % 28.15/28.30 (step @p154 :rule bool-double-not-elim :args (@t115)) % 28.15/28.30 (step @p155 :rule refl :args (@t117)) % 28.15/28.30 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or @t117 (not @t116)))) % 28.15/28.30 (step @p157 :rule cnf_or_neg :args (@t117 0)) % 28.15/28.30 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 28.15/28.30 (step @p159 :rule reordering :premises (@p158) :args ((or @t115 @t117))) % 28.15/28.30 (step @p160 :rule bool-double-not-elim :args (@t113)) % 28.15/28.30 (step @p161 :rule nary_cong :premises (@p155 @p160) :args ((or @t117 (not @t114)))) % 28.15/28.30 (step @p162 :rule cnf_or_neg :args (@t117 1)) % 28.15/28.30 (step @p163 :rule eq_resolve :premises (@p162 @p161)) % 28.15/28.30 (step @p164 :rule reordering :premises (@p163) :args ((or @t113 @t117))) % 28.15/28.30 (step @p165 :rule instantiate :premises (@p80) :args ((@list @t112))) % 28.15/28.30 (step @p166 :rule cnf_or_pos :args (@t121)) % 28.15/28.30 (step @p167 :rule reordering :premises (@p166) :args ((or @t116 @t120 (not @t121)))) % 28.15/28.30 (step @p168 :rule instantiate :premises (@p57) :args ((@list tptp.c @t50 @t112))) % 28.15/28.30 (step @p169 :rule cnf_or_pos :args (@t122)) % 28.15/28.30 (step @p170 :rule reordering :premises (@p169) :args ((or @t53 @t114 @t119 (not @t122)))) % 28.15/28.30 (step @p171 :rule chain_m_resolution :premises (@p170 @p168 @p167 @p165 @p164 @p159 @p153 @p144 @p142 @p117 @p111 @p23 @p18) :args (@t55 (@list false true false false false true true false false false false false) (@list @t122 @t119 @t121 @t113 @t115 @t117 @t109 @t111 @t97 @t96 @t52 @t51))) % 28.15/28.30 (step @p172 :rule refl :args (@t123)) % 28.15/28.30 (step @p173 :rule bool-double-not-elim :args (@t49)) % 28.15/28.30 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or (not @t124) @t123))) % 28.15/28.30 (assume-push @p284 @t124) % 28.15/28.30 (step @p176 :rule skolemize :premises (@p284)) % 28.15/28.30 (step-pop @p285 :rule scope :premises (@p176)) % 28.15/28.30 (step @p177 :rule process_scope :premises (@p285) :args (@t123)) % 28.15/28.30 (step @p179 :rule implies_elim :premises (@p177)) % 28.15/28.30 (step @p180 :rule eq_resolve :premises (@p179 @p174)) % 28.15/28.30 (step @p181 :rule chain_m_resolution :premises (@p180 @p171) :args (@t49 (@list false) (@list @t55))) % 28.15/28.30 (step @p182 :rule instantiate :premises (@p57) :args ((@list @t47 @t128 @t130))) % 28.15/28.30 (step @p183 :rule instantiate :premises (@p141) :args ((@list @t126 tptp.c @t128))) % 28.15/28.30 (step @p184 :rule aci_norm :args ((= (or (or @t131 @t56) @t103) (or @t131 @t56 @t103)))) % 28.15/28.30 (step @p185 :rule bool-and-de-morgan :args (@t16 @t29 true)) % 28.15/28.30 (step @p186 :rule nary_cong :premises (@p185 @p119) :args ((or (not @t30) @t103))) % 28.15/28.30 (step @p187 :rule trans :premises (@p186 @p184)) % 28.15/28.30 (step @p188 :rule bool-impl-elim :args (@t30 @t103)) % 28.15/28.30 (step @p189 :rule trans :premises (@p188 @p187)) % 28.15/28.30 (step @p190 :rule cong :premises (@p189) :args ((forall @t21 (=> @t30 @t103)))) % 28.15/28.30 (step @p191 :rule refl :args (@t30)) % 28.15/28.30 (step @p192 :rule cong :premises (@p191 @p136) :args (@t31)) % 28.15/28.30 (step @p193 :rule cong :premises (@p192) :args (@t32)) % 28.15/28.30 (step @p194 :rule trans :premises (@p193 @p190)) % 28.15/28.30 (step @p195 :rule eq_resolve :premises (@p8 @p194)) % 28.15/28.30 (step @p196 :rule instantiate :premises (@p195) :args ((@list tptp.a @t126 @t47))) % 28.15/28.30 (step @p197 :rule instantiate :premises (@p39) :args (@t132)) % 28.15/28.30 (step @p198 :rule instantiate :premises (@p43) :args (@t132)) % 28.15/28.30 (step @p199 :rule instantiate :premises (@p47) :args ((@list tptp.c tptp.a))) % 28.15/28.30 (step @p200 :rule instantiate :premises (@p57) :args ((@list tptp.c tptp.a tptp.b))) % 28.15/28.30 (step @p201 :rule instantiate :premises (@p80) :args (@t133)) % 28.15/28.30 (step @p202 :rule instantiate :premises (@p47) :args ((@list tptp.b tptp.b))) % 28.15/28.30 (step @p203 :rule instantiate :premises (@p3) :args (@t133)) % 28.15/28.30 (step @p204 :rule cnf_or_pos :args (@t137)) % 28.15/28.30 (step @p205 :rule reordering :premises (@p204) :args ((or @t134 @t136 (not @t137)))) % 28.15/28.30 (step @p206 :rule chain_m_resolution :premises (@p205 @p203 @p202) :args (@t134 @t76 (@list @t135 @t137))) % 28.15/28.30 (step @p207 :rule cnf_or_pos :args (@t141)) % 28.15/28.30 (step @p208 :rule reordering :premises (@p207) :args ((or @t140 @t139 (not @t141)))) % 28.15/28.30 (step @p209 :rule chain_m_resolution :premises (@p208 @p206 @p201) :args (@t139 @t76 (@list @t134 @t141))) % 28.15/28.30 (step @p210 :rule cnf_or_pos :args (@t144)) % 28.15/28.30 (step @p211 :rule reordering :premises (@p210) :args ((or @t94 @t138 @t143 (not @t144)))) % 28.15/28.30 (step @p212 :rule chain_m_resolution :premises (@p211 @p100 @p209 @p200) :args (@t143 @t85 (@list @t8 @t138 @t144))) % 28.15/28.30 (step @p213 :rule cnf_or_pos :args (@t147)) % 28.15/28.30 (step @p214 :rule reordering :premises (@p213) :args ((or @t146 @t142 (not @t147)))) % 28.15/28.30 (step @p215 :rule chain_m_resolution :premises (@p214 @p212 @p199) :args (@t146 @t89 (@list @t142 @t147))) % 28.15/28.30 (step @p216 :rule cnf_or_pos :args (@t150)) % 28.15/28.30 (step @p217 :rule reordering :premises (@p216) :args ((or @t149 @t145 (not @t150)))) % 28.15/28.30 (step @p218 :rule chain_m_resolution :premises (@p217 @p215 @p198) :args (@t149 @t89 (@list @t145 @t150))) % 28.15/28.30 (step @p219 :rule cnf_or_pos :args (@t152)) % 28.15/28.30 (step @p220 :rule reordering :premises (@p219) :args ((or @t81 @t148 @t151 (not @t152)))) % 28.15/28.30 (step @p221 :rule chain_m_resolution :premises (@p220 @p90 @p218 @p197) :args (@t151 @t85 (@list @t7 @t148 @t152))) % 28.15/28.30 (step @p222 :rule skolemize :premises (@p221)) % 28.15/28.30 (step @p223 :rule bool-double-not-elim :args (@t153)) % 28.15/28.30 (step @p224 :rule refl :args (@t157)) % 28.15/28.30 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or @t157 (not @t156)))) % 28.15/28.30 (step @p226 :rule cnf_or_neg :args (@t157 0)) % 28.15/28.30 (step @p227 :rule eq_resolve :premises (@p226 @p225)) % 28.15/28.30 (step @p228 :rule reordering :premises (@p227) :args ((or @t153 @t157))) % 28.15/28.30 (step @p229 :rule chain_m_resolution :premises (@p228 @p222) :args (@t153 @t101 @t158)) % 28.15/28.30 (step @p230 :rule cnf_or_pos :args (@t160)) % 28.15/28.30 (step @p231 :rule reordering :premises (@p230) :args ((or @t156 @t99 @t159 (not @t160)))) % 28.15/28.30 (step @p232 :rule chain_m_resolution :premises (@p231 @p229 @p111 @p196) :args (@t159 @t161 (@list @t153 @t96 @t160))) % 28.15/28.30 (step @p233 :rule skolemize :premises (@p232)) % 28.15/28.30 (step @p234 :rule bool-double-not-elim :args (@t162)) % 28.15/28.30 (step @p235 :rule refl :args (@t166)) % 28.15/28.30 (step @p236 :rule nary_cong :premises (@p235 @p234) :args ((or @t166 (not @t165)))) % 28.15/28.30 (step @p237 :rule cnf_or_neg :args (@t166 0)) % 28.15/28.30 (step @p238 :rule eq_resolve :premises (@p237 @p236)) % 28.15/28.30 (step @p239 :rule reordering :premises (@p238) :args ((or @t162 @t166))) % 28.15/28.30 (step @p240 :rule chain_m_resolution :premises (@p239 @p233) :args (@t162 @t101 @t167)) % 28.15/28.30 (step @p241 :rule bool-double-not-elim :args (@t154)) % 28.15/28.30 (step @p242 :rule nary_cong :premises (@p224 @p241) :args ((or @t157 (not @t155)))) % 28.15/28.30 (step @p243 :rule cnf_or_neg :args (@t157 1)) % 28.15/28.30 (step @p244 :rule eq_resolve :premises (@p243 @p242)) % 28.15/28.30 (step @p245 :rule reordering :premises (@p244) :args ((or @t154 @t157))) % 28.15/28.30 (step @p246 :rule chain_m_resolution :premises (@p245 @p222) :args (@t154 @t101 @t158)) % 28.15/28.30 (step @p247 :rule cnf_or_pos :args (@t169)) % 28.15/28.30 (step @p248 :rule reordering :premises (@p247) :args ((or @t156 @t155 @t165 @t168 (not @t169)))) % 28.15/28.30 (step @p249 :rule chain_m_resolution :premises (@p248 @p229 @p246 @p240 @p183) :args (@t168 (@list false false false false) (@list @t153 @t154 @t162 @t169))) % 28.15/28.30 (step @p250 :rule skolemize :premises (@p249)) % 28.15/28.30 (step @p251 :rule bool-double-not-elim :args (@t170)) % 28.15/28.30 (step @p252 :rule refl :args (@t174)) % 28.15/28.30 (step @p253 :rule nary_cong :premises (@p252 @p251) :args ((or @t174 (not @t171)))) % 28.15/28.30 (step @p254 :rule cnf_or_neg :args (@t174 1)) % 28.15/28.30 (step @p255 :rule eq_resolve :premises (@p254 @p253)) % 28.15/28.30 (step @p256 :rule reordering :premises (@p255) :args ((or @t170 @t174))) % 28.15/28.30 (step @p257 :rule chain_m_resolution :premises (@p256 @p250) :args (@t170 @t101 @t175)) % 28.15/28.30 (step @p258 :rule bool-double-not-elim :args (@t163)) % 28.15/28.30 (step @p259 :rule nary_cong :premises (@p235 @p258) :args ((or @t166 (not @t164)))) % 28.15/28.30 (step @p260 :rule cnf_or_neg :args (@t166 1)) % 28.15/28.30 (step @p261 :rule eq_resolve :premises (@p260 @p259)) % 28.15/28.30 (step @p262 :rule reordering :premises (@p261) :args ((or @t163 @t166))) % 28.15/28.30 (step @p263 :rule chain_m_resolution :premises (@p262 @p233) :args (@t163 @t101 @t167)) % 28.15/28.30 (step @p264 :rule cnf_or_pos :args (@t177)) % 28.15/28.30 (step @p265 :rule reordering :premises (@p264) :args ((or @t164 @t171 @t176 (not @t177)))) % 28.15/28.30 (step @p266 :rule chain_m_resolution :premises (@p265 @p263 @p257 @p182) :args (@t176 @t161 (@list @t163 @t170 @t177))) % 28.15/28.30 (step @p267 :rule bool-double-not-elim :args (@t172)) % 28.15/28.30 (step @p268 :rule nary_cong :premises (@p252 @p267) :args ((or @t174 (not @t173)))) % 28.15/28.30 (step @p269 :rule cnf_or_neg :args (@t174 0)) % 28.15/28.30 (step @p270 :rule eq_resolve :premises (@p269 @p268)) % 28.15/28.30 (step @p271 :rule reordering :premises (@p270) :args ((or @t172 @t174))) % 28.15/28.30 (step @p272 :rule chain_m_resolution :premises (@p271 @p250) :args (@t172 @t101 @t175)) % 28.15/28.30 (step @p273 :rule cnf_or_pos :args (@t179)) % 28.15/28.30 (step @p274 :rule reordering :premises (@p273) :args ((or @t173 @t178 @t180))) % 28.15/28.30 (step @p275 :rule chain_m_resolution :premises (@p274 @p272 @p266) :args (@t180 @t76 (@list @t172 @t176))) % 28.15/28.30 (assume-push @p286 @t49) % 28.15/28.30 (step @p277 :rule instantiate :premises (@p286) :args ((@list @t130))) % 28.15/28.30 (step-pop @p287 :rule scope :premises (@p277)) % 28.15/28.30 (step @p278 :rule process_scope :premises (@p287) :args (@t179)) % 28.15/28.30 (step @p280 :rule implies_elim :premises (@p278)) % 28.15/28.30 (step @p281 false :rule chain_m_resolution :premises (@p280 @p275 @p181) :args (false @t89 (@list @t179 @t49))) % 28.15/28.30 ) % 28.15/28.30 % SZS output end Proof % 28.15/28.30 % cvc5 exiting %------------------------------------------------------------------------------