%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM008+2 : 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 : n002.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 28.33s 28.54s % Output : Proof 28.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM008+2 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n002.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Mon Jun 1 20:28:03 EDT 2026 % 0.18/0.34 % CPUTime : % 0.27/0.48 %----Proving TF0_NAR, FOF, or CNF % 28.33/28.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.33/28.54 --- Run --no-e-matching --full-saturate-quant at 6... % 28.33/28.54 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.33/28.54 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.33/28.54 % SZS status Theorem % 28.33/28.54 % SZS output start Proof % 28.33/28.54 ( % 28.33/28.54 (declare-sort $$unsorted 0) % 28.33/28.54 (declare-const tptp.a $$unsorted) % 28.33/28.54 (declare-const tptp.b $$unsorted) % 28.33/28.54 (declare-const tptp.transitive_reflexive_rewrite (-> $$unsorted $$unsorted Bool)) % 28.33/28.54 (declare-const tptp.c $$unsorted) % 28.33/28.54 (declare-const tptp.rewrite (-> $$unsorted $$unsorted Bool)) % 28.33/28.54 (declare-const tptp.goal Bool) % 28.33/28.54 (define @t1 () (@var "A" $$unsorted)) % 28.33/28.54 (define @t2 () (tptp.transitive_reflexive_rewrite tptp.c @t1)) % 28.33/28.54 (define @t3 () (tptp.transitive_reflexive_rewrite tptp.b @t1)) % 28.33/28.54 (define @t4 () (and @t3 @t2)) % 28.33/28.54 (define @t5 () (@list @t1)) % 28.33/28.54 (define @t6 () (forall @t5 (=> @t4 tptp.goal))) % 28.33/28.54 (define @t7 () (tptp.transitive_reflexive_rewrite tptp.a tptp.c)) % 28.33/28.54 (define @t8 () (tptp.transitive_reflexive_rewrite tptp.a tptp.b)) % 28.33/28.54 (define @t9 () (@var "B" $$unsorted)) % 28.33/28.54 (define @t10 () (tptp.transitive_reflexive_rewrite @t1 @t9)) % 28.33/28.54 (define @t11 () (= @t1 @t9)) % 28.33/28.54 (define @t12 () (@list @t1 @t9)) % 28.33/28.54 (define @t13 () (forall @t12 (=> @t11 @t10))) % 28.33/28.54 (define @t14 () (tptp.rewrite @t1 @t9)) % 28.33/28.54 (define @t15 () (@var "C" $$unsorted)) % 28.33/28.54 (define @t16 () (tptp.transitive_reflexive_rewrite @t1 @t15)) % 28.33/28.54 (define @t17 () (tptp.transitive_reflexive_rewrite @t9 @t15)) % 28.33/28.54 (define @t18 () (and @t10 @t17)) % 28.33/28.54 (define @t19 () (@list @t1 @t9 @t15)) % 28.33/28.54 (define @t20 () (forall @t19 (=> @t18 @t16))) % 28.33/28.54 (define @t21 () (@var "D" $$unsorted)) % 28.33/28.54 (define @t22 () (tptp.transitive_reflexive_rewrite @t15 @t21)) % 28.33/28.54 (define @t23 () (tptp.transitive_reflexive_rewrite @t9 @t21)) % 28.33/28.54 (define @t24 () (and @t23 @t22)) % 28.33/28.54 (define @t25 () (@list @t21)) % 28.33/28.54 (define @t26 () (exists @t25 @t24)) % 28.33/28.54 (define @t27 () (tptp.rewrite @t1 @t15)) % 28.33/28.54 (define @t28 () (and @t14 @t27)) % 28.33/28.54 (define @t29 () (=> @t28 @t26)) % 28.33/28.54 (define @t30 () (forall @t19 @t29)) % 28.33/28.54 (define @t31 () (tptp.rewrite tptp.a @t1)) % 28.33/28.54 (define @t32 () (and @t31 @t10 @t16)) % 28.33/28.54 (define @t33 () (=> @t32 @t26)) % 28.33/28.54 (define @t34 () (forall @t19 @t33)) % 28.33/28.54 (define @t35 () (tptp.transitive_reflexive_rewrite @t15 @t9)) % 28.33/28.54 (define @t36 () (and @t27 @t35)) % 28.33/28.54 (define @t37 () (@list @t15)) % 28.33/28.54 (define @t38 () (exists @t37 @t36)) % 28.33/28.54 (define @t39 () (or @t11 @t38)) % 28.33/28.54 (define @t40 () (=> @t10 @t39)) % 28.33/28.54 (define @t41 () (forall @t12 @t40)) % 28.33/28.54 (define @t42 () (not (tptp.transitive_reflexive_rewrite tptp.b @t21))) % 28.33/28.54 (define @t43 () (not (tptp.rewrite tptp.a @t15))) % 28.33/28.54 (define @t44 () (forall @t37 (or @t43 (not (tptp.transitive_reflexive_rewrite @t15 tptp.c))))) % 28.33/28.54 (define @t45 () (@quantifiers_skolemize @t44 0)) % 28.33/28.54 (define @t46 () (not (tptp.transitive_reflexive_rewrite @t45 @t21))) % 28.33/28.54 (define @t47 () (forall @t25 (or @t46 @t42))) % 28.33/28.54 (define @t48 () (@quantifiers_skolemize @t47 0)) % 28.33/28.54 (define @t49 () (tptp.transitive_reflexive_rewrite @t45 @t48)) % 28.33/28.54 (define @t50 () (tptp.transitive_reflexive_rewrite tptp.b @t48)) % 28.33/28.54 (define @t51 () (not @t50)) % 28.33/28.54 (define @t52 () (not @t49)) % 28.33/28.54 (define @t53 () (or @t52 @t51)) % 28.33/28.54 (define @t54 () (not @t27)) % 28.33/28.54 (define @t55 () (not (forall @t37 (or @t54 (not @t35))))) % 28.33/28.54 (define @t56 () (not @t10)) % 28.33/28.54 (define @t57 () (or @t56 @t11 @t55)) % 28.33/28.54 (define @t58 () (or @t11 @t55)) % 28.33/28.54 (define @t59 () (forall @t37 (not @t36))) % 28.33/28.54 (define @t60 () (not @t59)) % 28.33/28.54 (define @t61 () (not @t44)) % 28.33/28.54 (define @t62 () (not @t7)) % 28.33/28.54 (define @t63 () (or @t62 (= tptp.a tptp.c) @t61)) % 28.33/28.54 (define @t64 () (forall @t12 @t57)) % 28.33/28.54 (define @t65 () (= tptp.c tptp.a)) % 28.33/28.54 (define @t66 () (or @t62 @t65 @t61)) % 28.33/28.54 (define @t67 () (@list false)) % 28.33/28.54 (define @t68 () (@list @t64)) % 28.33/28.54 (define @t69 () (not @t2)) % 28.33/28.54 (define @t70 () (not @t3)) % 28.33/28.54 (define @t71 () (or @t70 @t69)) % 28.33/28.54 (define @t72 () (forall @t5 @t71)) % 28.33/28.54 (define @t73 () (or tptp.goal @t72)) % 28.33/28.54 (define @t74 () (or tptp.goal @t71)) % 28.33/28.54 (define @t75 () (or @t70 @t69 tptp.goal)) % 28.33/28.54 (define @t76 () (@list tptp.b)) % 28.33/28.54 (define @t77 () (tptp.transitive_reflexive_rewrite @t9 @t9)) % 28.33/28.54 (define @t78 () (not (= @t9 @t9))) % 28.33/28.54 (define @t79 () (or @t78 @t77)) % 28.33/28.54 (define @t80 () (@list @t9)) % 28.33/28.54 (define @t81 () (not @t11)) % 28.33/28.54 (define @t82 () (or @t81 @t81 @t10)) % 28.33/28.54 (define @t83 () (or @t81 @t10)) % 28.33/28.54 (define @t84 () (forall @t5 @t83)) % 28.33/28.54 (define @t85 () (forall @t80 @t84)) % 28.33/28.54 (define @t86 () (forall (@list @t9 @t1) @t83)) % 28.33/28.54 (define @t87 () (tptp.transitive_reflexive_rewrite tptp.c tptp.b)) % 28.33/28.54 (define @t88 () (not @t87)) % 28.33/28.54 (define @t89 () (tptp.transitive_reflexive_rewrite tptp.b tptp.b)) % 28.33/28.54 (define @t90 () (not @t89)) % 28.33/28.54 (define @t91 () (or @t90 @t88)) % 28.33/28.54 (define @t92 () (@list false false)) % 28.33/28.54 (define @t93 () (not @t65)) % 28.33/28.54 (define @t94 () (not @t8)) % 28.33/28.54 (define @t95 () (= false true)) % 28.33/28.54 (define @t96 () (and @t8 @t65 @t88)) % 28.33/28.54 (define @t97 () (@list false true)) % 28.33/28.54 (define @t98 () (@list false true false)) % 28.33/28.54 (define @t99 () (tptp.transitive_reflexive_rewrite @t45 tptp.c)) % 28.33/28.54 (define @t100 () (not @t99)) % 28.33/28.54 (define @t101 () (tptp.rewrite tptp.a @t45)) % 28.33/28.54 (define @t102 () (not @t101)) % 28.33/28.54 (define @t103 () (or @t102 @t100)) % 28.33/28.54 (define @t104 () (not @t103)) % 28.33/28.54 (define @t105 () (@list true)) % 28.33/28.54 (define @t106 () (@list @t103)) % 28.33/28.54 (define @t107 () (not (forall @t25 (or (not @t23) (not @t22))))) % 28.33/28.54 (define @t108 () (not @t16)) % 28.33/28.54 (define @t109 () (not @t31)) % 28.33/28.54 (define @t110 () (or @t109 @t56 @t108)) % 28.33/28.54 (define @t111 () (forall @t25 (not @t24))) % 28.33/28.54 (define @t112 () (not @t111)) % 28.33/28.54 (define @t113 () (forall @t25 (or (not (tptp.transitive_reflexive_rewrite @t48 @t21)) (not (tptp.transitive_reflexive_rewrite tptp.c @t21))))) % 28.33/28.54 (define @t114 () (not @t113)) % 28.33/28.54 (define @t115 () (or @t102 @t52 @t100 @t114)) % 28.33/28.54 (define @t116 () (@quantifiers_skolemize @t113 0)) % 28.33/28.54 (define @t117 () (tptp.transitive_reflexive_rewrite tptp.c @t116)) % 28.33/28.54 (define @t118 () (not @t117)) % 28.33/28.54 (define @t119 () (tptp.transitive_reflexive_rewrite @t48 @t116)) % 28.33/28.54 (define @t120 () (not @t119)) % 28.33/28.54 (define @t121 () (or @t120 @t118)) % 28.33/28.54 (define @t122 () (not @t121)) % 28.33/28.54 (define @t123 () (not @t17)) % 28.33/28.54 (define @t124 () (tptp.transitive_reflexive_rewrite tptp.b @t116)) % 28.33/28.54 (define @t125 () (or @t51 @t120 @t124)) % 28.33/28.54 (define @t126 () (not @t124)) % 28.33/28.54 (define @t127 () (or @t126 @t118)) % 28.33/28.54 (define @t128 () (not @t53)) % 28.33/28.54 (define @t129 () (not @t47)) % 28.33/28.54 (define @t130 () (forall @t37 (or @t43 (not (tptp.transitive_reflexive_rewrite @t15 tptp.b))))) % 28.33/28.54 (define @t131 () (@quantifiers_skolemize @t130 0)) % 28.33/28.54 (define @t132 () (forall @t25 (or @t46 (not (tptp.transitive_reflexive_rewrite @t131 @t21))))) % 28.33/28.54 (define @t133 () (@quantifiers_skolemize @t132 0)) % 28.33/28.54 (define @t134 () (forall @t25 (or @t42 (not (tptp.transitive_reflexive_rewrite @t133 @t21))))) % 28.33/28.54 (define @t135 () (@quantifiers_skolemize @t134 0)) % 28.33/28.54 (define @t136 () (not @t14)) % 28.33/28.54 (define @t137 () (not @t130)) % 28.33/28.54 (define @t138 () (or @t94 (= tptp.a tptp.b) @t137)) % 28.33/28.54 (define @t139 () (= tptp.b tptp.a)) % 28.33/28.54 (define @t140 () (or @t94 @t139 @t137)) % 28.33/28.54 (define @t141 () (@list tptp.c)) % 28.33/28.54 (define @t142 () (tptp.transitive_reflexive_rewrite tptp.c tptp.c)) % 28.33/28.54 (define @t143 () (not @t142)) % 28.33/28.54 (define @t144 () (tptp.transitive_reflexive_rewrite tptp.b tptp.c)) % 28.33/28.54 (define @t145 () (not @t144)) % 28.33/28.54 (define @t146 () (or @t145 @t143)) % 28.33/28.54 (define @t147 () (not @t139)) % 28.33/28.54 (define @t148 () (tptp.transitive_reflexive_rewrite @t131 tptp.b)) % 28.33/28.54 (define @t149 () (not @t148)) % 28.33/28.54 (define @t150 () (tptp.rewrite tptp.a @t131)) % 28.33/28.54 (define @t151 () (not @t150)) % 28.33/28.54 (define @t152 () (or @t151 @t149)) % 28.33/28.54 (define @t153 () (not @t152)) % 28.33/28.54 (define @t154 () (@list @t152)) % 28.33/28.54 (define @t155 () (not @t132)) % 28.33/28.54 (define @t156 () (or @t102 @t151 @t155)) % 28.33/28.54 (define @t157 () (@list false false false)) % 28.33/28.54 (define @t158 () (tptp.transitive_reflexive_rewrite @t131 @t133)) % 28.33/28.54 (define @t159 () (not @t158)) % 28.33/28.54 (define @t160 () (tptp.transitive_reflexive_rewrite @t45 @t133)) % 28.33/28.54 (define @t161 () (not @t160)) % 28.33/28.54 (define @t162 () (or @t161 @t159)) % 28.33/28.54 (define @t163 () (not @t162)) % 28.33/28.54 (define @t164 () (@list @t162)) % 28.33/28.54 (define @t165 () (not @t134)) % 28.33/28.54 (define @t166 () (or @t151 @t149 @t159 @t165)) % 28.33/28.54 (define @t167 () (tptp.transitive_reflexive_rewrite @t133 @t135)) % 28.33/28.54 (define @t168 () (not @t167)) % 28.33/28.54 (define @t169 () (tptp.transitive_reflexive_rewrite tptp.b @t135)) % 28.33/28.54 (define @t170 () (not @t169)) % 28.33/28.54 (define @t171 () (or @t170 @t168)) % 28.33/28.54 (define @t172 () (not @t171)) % 28.33/28.54 (define @t173 () (@list @t171)) % 28.33/28.54 (define @t174 () (tptp.transitive_reflexive_rewrite @t45 @t135)) % 28.33/28.54 (define @t175 () (or @t161 @t168 @t174)) % 28.33/28.54 (define @t176 () (not @t174)) % 28.33/28.54 (define @t177 () (or @t176 @t170)) % 28.33/28.54 (define @t178 () (not @t177)) % 28.33/28.54 (assume @p1 @t6) % 28.33/28.54 (assume @p2 (and @t8 @t7)) % 28.33/28.54 (assume @p3 @t13) % 28.33/28.54 (assume @p4 (forall @t12 (=> @t14 @t10))) % 28.33/28.54 (assume @p5 @t20) % 28.33/28.54 (assume @p6 @t30) % 28.33/28.54 (assume @p7 @t34) % 28.33/28.54 (assume @p8 @t41) % 28.33/28.54 (assume @p9 (not tptp.goal)) % 28.33/28.54 (assume @p10 true) % 28.33/28.54 (step @p11 :rule bool-double-not-elim :args (@t49)) % 28.33/28.54 (step @p12 :rule refl :args (@t53)) % 28.33/28.54 (step @p13 :rule nary_cong :premises (@p12 @p11) :args ((or @t53 (not @t52)))) % 28.33/28.54 (step @p14 :rule cnf_or_neg :args (@t53 0)) % 28.33/28.54 (step @p15 :rule eq_resolve :premises (@p14 @p13)) % 28.33/28.54 (step @p16 :rule reordering :premises (@p15) :args ((or @t49 @t53))) % 28.33/28.54 (step @p17 :rule bool-double-not-elim :args (@t50)) % 28.33/28.54 (step @p18 :rule nary_cong :premises (@p12 @p17) :args ((or @t53 (not @t51)))) % 28.33/28.54 (step @p19 :rule cnf_or_neg :args (@t53 1)) % 28.33/28.54 (step @p20 :rule eq_resolve :premises (@p19 @p18)) % 28.33/28.54 (step @p21 :rule reordering :premises (@p20) :args ((or @t50 @t53))) % 28.33/28.54 (step @p22 :rule aci_norm :args ((= (or @t56 @t58) @t57))) % 28.33/28.54 (step @p23 :rule bool-impl-elim :args (@t10 @t58)) % 28.33/28.54 (step @p24 :rule trans :premises (@p23 @p22)) % 28.33/28.54 (step @p25 :rule cong :premises (@p24) :args ((forall @t12 (=> @t10 @t58)))) % 28.33/28.55 (step @p26 :rule bool-and-de-morgan :args (@t27 @t35 true)) % 28.33/28.55 (step @p27 :rule cong :premises (@p26) :args (@t59)) % 28.33/28.55 (step @p28 :rule cong :premises (@p27) :args (@t60)) % 28.33/28.55 (step @p29 :rule exists-elim :args ((= @t38 @t60))) % 28.33/28.55 (step @p30 :rule trans :premises (@p29 @p28)) % 28.33/28.55 (step @p31 :rule refl :args (@t11)) % 28.33/28.55 (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t39)) % 28.33/28.55 (step @p33 :rule refl :args (@t10)) % 28.33/28.55 (step @p34 :rule cong :premises (@p33 @p32) :args (@t40)) % 28.33/28.55 (step @p35 :rule cong :premises (@p34) :args (@t41)) % 28.33/28.55 (step @p36 :rule trans :premises (@p35 @p25)) % 28.33/28.55 (step @p37 :rule eq_resolve :premises (@p8 @p36)) % 28.33/28.55 (step @p38 :rule refl :args (@t61)) % 28.33/28.55 (step @p39 :rule eq-symm :args (tptp.a tptp.c)) % 28.33/28.55 (step @p40 :rule refl :args (@t62)) % 28.33/28.55 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38) :args (@t63)) % 28.33/28.55 (step @p42 :rule refl :args (@t64)) % 28.33/28.55 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t64 @t63))) % 28.33/28.55 (assume-push @p375 @t64) % 28.33/28.55 (step @p45 :rule instantiate :premises (@p37) :args ((@list tptp.a tptp.c))) % 28.33/28.55 (step-pop @p376 :rule scope :premises (@p45)) % 28.33/28.55 (step @p46 :rule process_scope :premises (@p376) :args (@t63)) % 28.33/28.55 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 28.33/28.55 (step @p49 :rule implies_elim :premises (@p48)) % 28.33/28.55 (step @p50 :rule chain_m_resolution :premises (@p49 @p37) :args (@t66 @t67 @t68)) % 28.33/28.55 (step @p51 :rule aci_norm :args ((= (or false @t72) @t72))) % 28.33/28.55 (step @p52 :rule refl :args (@t72)) % 28.33/28.55 (step @p53 :rule bool-eq-false :args (tptp.goal)) % 28.33/28.55 (step @p54 :rule symm :premises (@p53)) % 28.33/28.55 (step @p55 :rule eq_resolve :premises (@p9 @p54)) % 28.33/28.55 (step @p56 :rule nary_cong :premises (@p55 @p52) :args (@t73)) % 28.33/28.55 (step @p57 :rule trans :premises (@p56 @p51)) % 28.33/28.55 (step @p58 :rule quant-miniscope-or :args ((= (forall @t5 @t74) @t73))) % 28.33/28.55 (step @p59 :rule aci_norm :args ((= @t75 @t74))) % 28.33/28.55 (step @p60 :rule cong :premises (@p59) :args ((forall @t5 @t75))) % 28.33/28.55 (step @p61 :rule trans :premises (@p60 @p58)) % 28.33/28.55 (step @p62 :rule aci_norm :args ((= (or @t71 tptp.goal) @t75))) % 28.33/28.55 (step @p63 :rule refl :args (tptp.goal)) % 28.33/28.55 (step @p64 :rule bool-and-de-morgan :args (@t3 @t2 true)) % 28.33/28.55 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or (not @t4) tptp.goal))) % 28.33/28.55 (step @p66 :rule trans :premises (@p65 @p62)) % 28.33/28.55 (step @p67 :rule bool-impl-elim :args (@t4 tptp.goal)) % 28.33/28.55 (step @p68 :rule trans :premises (@p67 @p66)) % 28.33/28.55 (step @p69 :rule cong :premises (@p68) :args (@t6)) % 28.33/28.55 (step @p70 :rule trans :premises (@p69 @p61)) % 28.33/28.55 (step @p71 :rule trans :premises (@p70 @p57)) % 28.33/28.55 (step @p72 :rule eq_resolve :premises (@p1 @p71)) % 28.33/28.55 (step @p73 :rule instantiate :premises (@p72) :args (@t76)) % 28.33/28.55 (step @p74 :rule aci_norm :args ((= (or false @t77) @t77))) % 28.33/28.55 (step @p75 :rule refl :args (@t77)) % 28.33/28.55 (step @p76 :rule evaluate :args ((not true))) % 28.33/28.55 (step @p77 :rule eq-refl :args (@t9)) % 28.33/28.55 (step @p78 :rule cong :premises (@p77) :args (@t78)) % 28.33/28.55 (step @p79 :rule trans :premises (@p78 @p76)) % 28.33/28.55 (step @p80 :rule nary_cong :premises (@p79 @p75) :args (@t79)) % 28.33/28.55 (step @p81 :rule trans :premises (@p80 @p74)) % 28.33/28.55 (step @p82 :rule cong :premises (@p81) :args ((forall @t80 @t79))) % 28.33/28.55 (step @p83 :rule quant-var-elim-eq :args ((= (forall @t5 @t82) @t79))) % 28.33/28.55 (step @p84 :rule aci_norm :args ((= @t83 @t82))) % 28.33/28.55 (step @p85 :rule cong :premises (@p84) :args (@t84)) % 28.33/28.55 (step @p86 :rule trans :premises (@p85 @p83)) % 28.33/28.55 (step @p87 :rule cong :premises (@p86) :args 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28.33/28.55 (step @p160 :rule chain_m_resolution :premises (@p159 @p147) :args (@t99 @t105 @t106)) % 28.33/28.55 (step @p161 :rule aci_norm :args ((= (or @t110 @t107) (or @t109 @t56 @t108 @t107)))) % 28.33/28.55 (step @p162 :rule refl :args (@t107)) % 28.33/28.55 (step @p163 :rule aci_norm :args ((= (or @t109 (or @t56 @t108)) @t110))) % 28.33/28.55 (step @p164 :rule bool-and-de-morgan :args (@t10 @t16 true)) % 28.33/28.55 (step @p165 :rule refl :args (@t109)) % 28.33/28.55 (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((or @t109 (not (and @t10 @t16))))) % 28.33/28.55 (step @p167 :rule bool-and-de-morgan :args (@t31 @t10 (and @t16))) % 28.33/28.55 (step @p168 :rule trans :premises (@p167 @p166)) % 28.33/28.55 (step @p169 :rule trans :premises (@p168 @p163)) % 28.33/28.55 (step @p170 :rule nary_cong :premises (@p169 @p162) :args ((or (not @t32) @t107))) % 28.33/28.55 (step @p171 :rule trans :premises (@p170 @p161)) % 28.33/28.55 (step @p172 :rule bool-impl-elim :args (@t32 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28.33/28.55 (step @p187 :rule reordering :premises (@p186) :args ((or @t102 @t100 @t52 @t114 (not @t115)))) % 28.33/28.55 (step @p188 :rule refl :args (@t122)) % 28.33/28.55 (step @p189 :rule bool-double-not-elim :args (@t113)) % 28.33/28.55 (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((or (not @t114) @t122))) % 28.33/28.55 (assume-push @p391 @t114) % 28.33/28.55 (step @p192 :rule skolemize :premises (@p391)) % 28.33/28.55 (step-pop @p392 :rule scope :premises (@p192)) % 28.33/28.55 (step @p193 :rule process_scope :premises (@p392) :args (@t122)) % 28.33/28.55 (step @p195 :rule implies_elim :premises (@p193)) % 28.33/28.55 (step @p196 :rule eq_resolve :premises (@p195 @p190)) % 28.33/28.55 (step @p197 :rule bool-double-not-elim :args (@t119)) % 28.33/28.55 (step @p198 :rule refl :args (@t121)) % 28.33/28.55 (step @p199 :rule nary_cong :premises (@p198 @p197) :args ((or @t121 (not @t120)))) % 28.33/28.55 (step @p200 :rule cnf_or_neg :args (@t121 0)) % 28.33/28.55 (step @p201 :rule eq_resolve :premises (@p200 @p199)) % 28.33/28.55 (step @p202 :rule reordering :premises (@p201) :args ((or @t119 @t121))) % 28.33/28.55 (step @p203 :rule bool-double-not-elim :args (@t117)) % 28.33/28.55 (step @p204 :rule nary_cong :premises (@p198 @p203) :args ((or @t121 (not @t118)))) % 28.33/28.55 (step @p205 :rule cnf_or_neg :args (@t121 1)) % 28.33/28.55 (step @p206 :rule eq_resolve :premises (@p205 @p204)) % 28.33/28.55 (step @p207 :rule reordering :premises (@p206) :args ((or @t117 @t121))) % 28.33/28.55 (step @p208 :rule aci_norm :args ((= (or (or @t56 @t123) @t16) (or @t56 @t123 @t16)))) % 28.33/28.55 (step @p209 :rule refl :args (@t16)) % 28.33/28.55 (step @p210 :rule bool-and-de-morgan :args (@t10 @t17 true)) % 28.33/28.55 (step @p211 :rule nary_cong :premises (@p210 @p209) :args ((or (not @t18) @t16))) % 28.33/28.55 (step @p212 :rule trans :premises (@p211 @p208)) % 28.33/28.55 (step @p213 :rule bool-impl-elim :args (@t18 @t16)) % 28.33/28.55 (step @p214 :rule trans :premises (@p213 @p212)) % 28.33/28.55 (step @p215 :rule cong :premises (@p214) :args (@t20)) % 28.33/28.55 (step @p216 :rule eq_resolve :premises (@p5 @p215)) % 28.33/28.55 (step @p217 :rule instantiate :premises (@p216) :args ((@list tptp.b @t48 @t116))) % 28.33/28.55 (step @p218 :rule cnf_or_pos :args (@t125)) % 28.33/28.55 (step @p219 :rule reordering :premises (@p218) :args ((or @t51 @t120 @t124 (not @t125)))) % 28.33/28.55 (step @p220 :rule instantiate :premises (@p72) :args ((@list @t116))) % 28.33/28.55 (step @p221 :rule cnf_or_pos :args (@t127)) % 28.33/28.55 (step @p222 :rule reordering :premises (@p221) :args ((or @t118 @t126 (not @t127)))) % 28.33/28.55 (step @p223 :rule chain_m_resolution :premises (@p222 @p220 @p219 @p217 @p207 @p202 @p196 @p187 @p185 @p160 @p154 @p21 @p16) :args (@t53 (@list false false false false false true true false false false false false) (@list @t127 @t124 @t125 @t117 @t119 @t121 @t113 @t115 @t99 @t101 @t50 @t49))) % 28.33/28.55 (step @p224 :rule refl :args (@t128)) % 28.33/28.55 (step @p225 :rule bool-double-not-elim :args (@t47)) % 28.33/28.55 (step @p226 :rule nary_cong :premises (@p225 @p224) :args ((or (not @t129) @t128))) % 28.33/28.55 (assume-push @p393 @t129) % 28.33/28.55 (step @p228 :rule skolemize :premises (@p393)) % 28.33/28.55 (step-pop @p394 :rule scope :premises (@p228)) % 28.33/28.55 (step @p229 :rule process_scope :premises (@p394) :args (@t128)) % 28.33/28.55 (step @p231 :rule implies_elim :premises (@p229)) % 28.33/28.55 (step @p232 :rule eq_resolve :premises (@p231 @p226)) % 28.33/28.55 (step @p233 :rule chain_m_resolution :premises (@p232 @p223) :args (@t47 @t67 (@list @t53))) % 28.33/28.55 (step @p234 :rule instantiate :premises (@p216) :args ((@list @t45 @t133 @t135))) % 28.33/28.55 (step @p235 :rule instantiate :premises (@p184) :args ((@list @t131 tptp.b @t133))) % 28.33/28.55 (step @p236 :rule aci_norm :args ((= (or (or @t136 @t54) @t107) (or @t136 @t54 @t107)))) % 28.33/28.55 (step @p237 :rule bool-and-de-morgan :args (@t14 @t27 true)) % 28.33/28.55 (step @p238 :rule nary_cong :premises (@p237 @p162) :args ((or (not @t28) @t107))) % 28.33/28.55 (step @p239 :rule trans :premises (@p238 @p236)) % 28.33/28.55 (step @p240 :rule bool-impl-elim :args (@t28 @t107)) % 28.33/28.55 (step @p241 :rule trans :premises (@p240 @p239)) % 28.33/28.55 (step @p242 :rule cong :premises (@p241) :args ((forall @t19 (=> @t28 @t107)))) % 28.33/28.55 (step @p243 :rule refl :args (@t28)) % 28.33/28.55 (step @p244 :rule cong :premises (@p243 @p179) :args (@t29)) % 28.33/28.55 (step @p245 :rule cong :premises (@p244) :args (@t30)) % 28.33/28.55 (step @p246 :rule trans :premises (@p245 @p242)) % 28.33/28.55 (step @p247 :rule eq_resolve :premises (@p6 @p246)) % 28.33/28.55 (step @p248 :rule instantiate :premises (@p247) :args ((@list tptp.a @t45 @t131))) % 28.33/28.55 (step @p249 :rule refl :args (@t137)) % 28.33/28.55 (step @p250 :rule eq-symm :args (tptp.a tptp.b)) % 28.33/28.55 (step @p251 :rule nary_cong :premises (@p104 @p250 @p249) :args (@t138)) % 28.33/28.55 (step @p252 :rule cong :premises (@p42 @p251) :args ((=> @t64 @t138))) % 28.33/28.55 (assume-push @p395 @t64) % 28.33/28.55 (step @p254 :rule instantiate :premises (@p37) :args ((@list tptp.a tptp.b))) % 28.33/28.55 (step-pop @p396 :rule scope :premises (@p254)) % 28.33/28.55 (step @p255 :rule process_scope :premises (@p396) :args (@t138)) % 28.33/28.55 (step @p257 :rule eq_resolve :premises (@p255 @p252)) % 28.33/28.55 (step @p258 :rule implies_elim :premises (@p257)) % 28.33/28.55 (step @p259 :rule chain_m_resolution :premises (@p258 @p37) :args (@t140 @t67 @t68)) % 28.33/28.55 (step @p260 :rule instantiate :premises (@p72) :args (@t141)) % 28.33/28.55 (step @p261 :rule instantiate :premises (@p96) :args (@t141)) % 28.33/28.55 (step @p262 :rule cnf_or_pos :args (@t146)) % 28.33/28.55 (step @p263 :rule reordering :premises (@p262) :args ((or @t145 @t143 (not @t146)))) % 28.33/28.55 (step @p264 :rule 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(@p277)) % 28.33/28.55 (step-pop @p401 :rule scope :premises (@p400)) % 28.33/28.55 (step-pop @p402 :rule scope :premises (@p401)) % 28.33/28.55 (step @p278 :rule process_scope :premises (@p402) :args (false)) % 28.33/28.55 (step @p282 :rule not_and :premises (@p278)) % 28.33/28.55 (step @p283 :rule eq_resolve :premises (@p282 @p267)) % 28.33/28.55 (step @p284 :rule chain_m_resolution :premises (@p283 @p134 @p264) :args (@t147 @t97 (@list @t7 @t144))) % 28.33/28.55 (step @p285 :rule cnf_or_pos :args (@t140)) % 28.33/28.55 (step @p286 :rule reordering :premises (@p285) :args ((or @t94 @t139 @t137 (not @t140)))) % 28.33/28.55 (step @p287 :rule chain_m_resolution :premises (@p286 @p101 @p284 @p259) :args (@t137 @t98 (@list @t8 @t139 @t140))) % 28.33/28.55 (step @p288 :rule refl :args (@t153)) % 28.33/28.55 (step @p289 :rule bool-double-not-elim :args (@t130)) % 28.33/28.55 (step @p290 :rule nary_cong :premises (@p289 @p288) :args ((or (not @t137) @t153))) % 28.33/28.55 (assume-push @p403 @t137) % 28.33/28.55 (step @p292 :rule skolemize :premises (@p403)) % 28.33/28.55 (step-pop @p404 :rule scope :premises (@p292)) % 28.33/28.55 (step @p293 :rule process_scope :premises (@p404) :args (@t153)) % 28.33/28.55 (step @p295 :rule implies_elim :premises (@p293)) % 28.33/28.55 (step @p296 :rule eq_resolve :premises (@p295 @p290)) % 28.33/28.55 (step @p297 :rule chain_m_resolution :premises (@p296 @p287) :args (@t153 @t105 (@list @t130))) % 28.33/28.55 (step @p298 :rule bool-double-not-elim :args (@t150)) % 28.33/28.55 (step @p299 :rule refl :args (@t152)) % 28.33/28.55 (step @p300 :rule nary_cong :premises (@p299 @p298) :args ((or @t152 (not @t151)))) % 28.33/28.55 (step @p301 :rule cnf_or_neg :args (@t152 0)) % 28.33/28.55 (step @p302 :rule eq_resolve :premises (@p301 @p300)) % 28.33/28.55 (step @p303 :rule reordering :premises (@p302) :args ((or @t150 @t152))) % 28.33/28.55 (step @p304 :rule chain_m_resolution :premises (@p303 @p297) :args (@t150 @t105 @t154)) % 28.33/28.55 (step @p305 :rule cnf_or_pos :args (@t156)) % 28.33/28.55 (step @p306 :rule reordering :premises (@p305) :args ((or @t151 @t102 @t155 (not @t156)))) % 28.33/28.55 (step @p307 :rule chain_m_resolution :premises (@p306 @p304 @p154 @p248) :args (@t155 @t157 (@list @t150 @t101 @t156))) % 28.33/28.55 (step @p308 :rule refl :args (@t163)) % 28.33/28.55 (step @p309 :rule bool-double-not-elim :args (@t132)) % 28.33/28.55 (step @p310 :rule nary_cong :premises (@p309 @p308) :args ((or (not @t155) @t163))) % 28.33/28.55 (assume-push @p405 @t155) % 28.33/28.55 (step @p312 :rule skolemize :premises (@p405)) % 28.33/28.55 (step-pop @p406 :rule scope :premises (@p312)) % 28.33/28.55 (step @p313 :rule process_scope :premises (@p406) :args (@t163)) % 28.33/28.55 (step @p315 :rule implies_elim :premises (@p313)) % 28.33/28.55 (step @p316 :rule eq_resolve :premises (@p315 @p310)) % 28.33/28.55 (step @p317 :rule chain_m_resolution :premises (@p316 @p307) :args (@t163 @t105 (@list @t132))) % 28.33/28.55 (step @p318 :rule bool-double-not-elim :args (@t158)) % 28.33/28.55 (step @p319 :rule refl :args (@t162)) % 28.33/28.55 (step @p320 :rule nary_cong :premises (@p319 @p318) :args ((or @t162 (not @t159)))) % 28.33/28.55 (step @p321 :rule cnf_or_neg :args (@t162 1)) % 28.33/28.55 (step @p322 :rule eq_resolve :premises (@p321 @p320)) % 28.33/28.55 (step @p323 :rule reordering :premises (@p322) :args ((or @t158 @t162))) % 28.33/28.55 (step @p324 :rule chain_m_resolution :premises (@p323 @p317) :args (@t158 @t105 @t164)) % 28.33/28.55 (step @p325 :rule bool-double-not-elim :args (@t148)) % 28.33/28.55 (step @p326 :rule nary_cong :premises (@p299 @p325) :args ((or @t152 (not @t149)))) % 28.33/28.55 (step @p327 :rule cnf_or_neg :args (@t152 1)) % 28.33/28.55 (step @p328 :rule eq_resolve :premises (@p327 @p326)) % 28.33/28.55 (step @p329 :rule reordering :premises (@p328) :args ((or @t148 @t152))) % 28.33/28.55 (step @p330 :rule chain_m_resolution :premises (@p329 @p297) :args (@t148 @t105 @t154)) % 28.33/28.55 (step @p331 :rule cnf_or_pos :args (@t166)) % 28.33/28.55 (step @p332 :rule reordering :premises (@p331) :args ((or @t151 @t149 @t159 @t165 (not @t166)))) % 28.33/28.55 (step @p333 :rule chain_m_resolution :premises (@p332 @p304 @p330 @p324 @p235) :args (@t165 (@list false false false false) (@list @t150 @t148 @t158 @t166))) % 28.33/28.55 (step @p334 :rule refl :args (@t172)) % 28.33/28.55 (step @p335 :rule bool-double-not-elim :args (@t134)) % 28.33/28.55 (step @p336 :rule nary_cong :premises (@p335 @p334) :args ((or (not @t165) @t172))) % 28.33/28.55 (assume-push @p407 @t165) % 28.33/28.55 (step @p338 :rule skolemize :premises (@p407)) % 28.33/28.55 (step-pop @p408 :rule scope :premises (@p338)) % 28.33/28.55 (step @p339 :rule process_scope :premises (@p408) :args (@t172)) % 28.33/28.55 (step @p341 :rule implies_elim :premises (@p339)) % 28.33/28.55 (step @p342 :rule eq_resolve :premises (@p341 @p336)) % 28.33/28.55 (step @p343 :rule chain_m_resolution :premises (@p342 @p333) :args (@t172 @t105 (@list @t134))) % 28.33/28.55 (step @p344 :rule bool-double-not-elim :args (@t167)) % 28.33/28.55 (step @p345 :rule refl :args (@t171)) % 28.33/28.55 (step @p346 :rule nary_cong :premises (@p345 @p344) :args ((or @t171 (not @t168)))) % 28.33/28.55 (step @p347 :rule cnf_or_neg :args (@t171 1)) % 28.33/28.55 (step @p348 :rule eq_resolve :premises (@p347 @p346)) % 28.33/28.55 (step @p349 :rule reordering :premises (@p348) :args ((or @t167 @t171))) % 28.33/28.55 (step @p350 :rule chain_m_resolution :premises (@p349 @p343) :args (@t167 @t105 @t173)) % 28.33/28.55 (step @p351 :rule bool-double-not-elim :args (@t160)) % 28.33/28.55 (step @p352 :rule nary_cong :premises (@p319 @p351) :args ((or @t162 (not @t161)))) % 28.33/28.55 (step @p353 :rule cnf_or_neg :args (@t162 0)) % 28.33/28.55 (step @p354 :rule eq_resolve :premises (@p353 @p352)) % 28.33/28.55 (step @p355 :rule reordering :premises (@p354) :args ((or @t160 @t162))) % 28.33/28.55 (step @p356 :rule chain_m_resolution :premises (@p355 @p317) :args (@t160 @t105 @t164)) % 28.33/28.55 (step @p357 :rule cnf_or_pos :args (@t175)) % 28.33/28.55 (step @p358 :rule reordering :premises (@p357) :args ((or @t161 @t168 @t174 (not @t175)))) % 28.33/28.55 (step @p359 :rule chain_m_resolution :premises (@p358 @p356 @p350 @p234) :args (@t174 @t157 (@list @t160 @t167 @t175))) % 28.33/28.55 (step @p360 :rule bool-double-not-elim :args (@t169)) % 28.33/28.55 (step @p361 :rule nary_cong :premises (@p345 @p360) :args ((or @t171 (not @t170)))) % 28.33/28.55 (step @p362 :rule cnf_or_neg :args (@t171 0)) % 28.33/28.55 (step @p363 :rule eq_resolve :premises (@p362 @p361)) % 28.33/28.55 (step @p364 :rule reordering :premises (@p363) :args ((or @t169 @t171))) % 28.33/28.55 (step @p365 :rule chain_m_resolution :premises (@p364 @p343) :args (@t169 @t105 @t173)) % 28.33/28.55 (step @p366 :rule cnf_or_pos :args (@t177)) % 28.33/28.55 (step @p367 :rule reordering :premises (@p366) :args ((or @t170 @t176 @t178))) % 28.33/28.55 (step @p368 :rule chain_m_resolution :premises (@p367 @p365 @p359) :args (@t178 @t92 (@list @t169 @t174))) % 28.33/28.55 (assume-push @p409 @t47) % 28.33/28.55 (step @p370 :rule instantiate :premises (@p409) :args ((@list @t135))) % 28.33/28.55 (step-pop @p410 :rule scope :premises (@p370)) % 28.33/28.55 (step @p371 :rule process_scope :premises (@p410) :args (@t177)) % 28.33/28.55 (step @p373 :rule implies_elim :premises (@p371)) % 28.33/28.55 (step @p374 false :rule chain_m_resolution :premises (@p373 @p368 @p233) :args (false (@list true false) (@list @t177 @t47))) % 28.33/28.55 ) % 28.33/28.55 % SZS output end Proof % 28.33/28.55 % cvc5 exiting %------------------------------------------------------------------------------