%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG210+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:05:30 AM UTC 2026 % Result : Theorem 0.39s 0.61s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ALG210+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n001.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 01:42:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.61 % SZS status Theorem % 0.39/0.61 % SZS output start Proof % 0.39/0.61 ( % 0.39/0.61 (declare-sort $$unsorted 0) % 0.39/0.61 (declare-const tptp.element (-> $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.times (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (define @t1 () (@var "A" $$unsorted)) % 0.39/0.61 (define @t2 () (@var "C" $$unsorted)) % 0.39/0.61 (define @t3 () (@var "B" $$unsorted)) % 0.39/0.61 (define @t4 () (tptp.times @t1 @t3)) % 0.39/0.61 (define @t5 () (forall (@list @t1 @t3 @t2) (= (tptp.times @t4 @t2) (tptp.times @t3 (tptp.times @t2 @t1))))) % 0.39/0.61 (define @t6 () (tptp.times @t3 @t3)) % 0.39/0.61 (define @t7 () (tptp.times @t3 @t2)) % 0.39/0.61 (define @t8 () (and (= @t7 @t3) (= @t6 @t2))) % 0.39/0.61 (define @t9 () (@list @t2)) % 0.39/0.61 (define @t10 () (exists @t9 @t8)) % 0.39/0.61 (define @t11 () (tptp.element @t3)) % 0.39/0.61 (define @t12 () (= @t11 @t10)) % 0.39/0.61 (define @t13 () (forall (@list @t3) @t12)) % 0.39/0.61 (define @t14 () (tptp.element @t4)) % 0.39/0.61 (define @t15 () (tptp.element @t1)) % 0.39/0.61 (define @t16 () (and @t15 @t11)) % 0.39/0.61 (define @t17 () (@list @t1 @t3)) % 0.39/0.61 (define @t18 () (forall @t17 (=> @t16 @t14))) % 0.39/0.61 (define @t19 () (not @t18)) % 0.39/0.61 (define @t20 () (= @t3 (tptp.times @t3 @t6))) % 0.39/0.61 (define @t21 () (not @t20)) % 0.39/0.61 (define @t22 () (not (= @t6 @t6))) % 0.39/0.61 (define @t23 () (or @t21 @t22)) % 0.39/0.61 (define @t24 () (= @t2 @t6)) % 0.39/0.61 (define @t25 () (not @t24)) % 0.39/0.61 (define @t26 () (= @t3 @t7)) % 0.39/0.61 (define @t27 () (not @t26)) % 0.39/0.61 (define @t28 () (or @t25 @t27 @t25)) % 0.39/0.61 (define @t29 () (or @t27 @t25)) % 0.39/0.61 (define @t30 () (and @t26 @t24)) % 0.39/0.61 (define @t31 () (forall @t9 (not @t30))) % 0.39/0.61 (define @t32 () (not @t31)) % 0.39/0.61 (define @t33 () (not @t11)) % 0.39/0.61 (define @t34 () (not @t15)) % 0.39/0.61 (define @t35 () (or @t34 @t33 @t14)) % 0.39/0.61 (define @t36 () (forall @t17 @t35)) % 0.39/0.61 (define @t37 () (@quantifiers_skolemize @t36 0)) % 0.39/0.61 (define @t38 () (tptp.element @t37)) % 0.39/0.61 (define @t39 () (@quantifiers_skolemize @t36 1)) % 0.39/0.61 (define @t40 () (tptp.times @t37 @t39)) % 0.39/0.61 (define @t41 () (tptp.element @t40)) % 0.39/0.61 (define @t42 () (tptp.element @t39)) % 0.39/0.61 (define @t43 () (not @t42)) % 0.39/0.61 (define @t44 () (not @t38)) % 0.39/0.61 (define @t45 () (or @t44 @t43 @t41)) % 0.39/0.61 (define @t46 () (@list true)) % 0.39/0.61 (define @t47 () (@list @t45)) % 0.39/0.61 (define @t48 () (tptp.times @t37 @t37)) % 0.39/0.61 (define @t49 () (tptp.times @t37 @t48)) % 0.39/0.61 (define @t50 () (= @t37 @t49)) % 0.39/0.61 (define @t51 () (= @t38 @t50)) % 0.39/0.61 (define @t52 () (@list false false)) % 0.39/0.61 (define @t53 () (tptp.times @t39 @t39)) % 0.39/0.61 (define @t54 () (tptp.times @t39 @t53)) % 0.39/0.61 (define @t55 () (= @t39 @t54)) % 0.39/0.61 (define @t56 () (= @t42 @t55)) % 0.39/0.61 (define @t57 () (tptp.times @t40 @t40)) % 0.39/0.61 (define @t58 () (tptp.times @t40 @t57)) % 0.39/0.61 (define @t59 () (= @t40 @t58)) % 0.39/0.61 (define @t60 () (= @t41 @t59)) % 0.39/0.61 (define @t61 () (not @t59)) % 0.39/0.61 (define @t62 () (tptp.times @t48 @t37)) % 0.39/0.61 (define @t63 () (= @t62 @t49)) % 0.39/0.61 (define @t64 () (@list @t37 @t37 @t37)) % 0.39/0.61 (define @t65 () (= @t49 @t62)) % 0.39/0.61 (define @t66 () (@list false)) % 0.39/0.61 (define @t67 () (@list @t5)) % 0.39/0.61 (define @t68 () (tptp.times @t53 @t39)) % 0.39/0.61 (define @t69 () (= @t68 @t54)) % 0.39/0.61 (define @t70 () (@list @t39 @t39 @t39)) % 0.39/0.61 (define @t71 () (= @t54 @t68)) % 0.39/0.61 (define @t72 () (tptp.times @t39 @t40)) % 0.39/0.61 (define @t73 () (tptp.times @t72 @t37)) % 0.39/0.61 (define @t74 () (= @t73 @t57)) % 0.39/0.61 (define @t75 () (@list @t39 @t40 @t37)) % 0.39/0.61 (define @t76 () (= @t57 @t73)) % 0.39/0.61 (define @t77 () (tptp.times @t57 @t40)) % 0.39/0.61 (define @t78 () (= @t77 @t58)) % 0.39/0.61 (define @t79 () (@list @t40 @t40 @t40)) % 0.39/0.61 (define @t80 () (= @t58 @t77)) % 0.39/0.61 (define @t81 () (tptp.times @t53 @t37)) % 0.39/0.61 (define @t82 () (tptp.times @t39 @t37)) % 0.39/0.61 (define @t83 () (tptp.times @t39 @t81)) % 0.39/0.61 (define @t84 () (tptp.times @t48 @t82)) % 0.39/0.61 (define @t85 () (tptp.times @t49 @t39)) % 0.39/0.61 (define @t86 () (= @t85 @t84)) % 0.39/0.61 (define @t87 () (tptp.times @t48 @t48)) % 0.39/0.61 (define @t88 () (= (tptp.times @t49 @t37) @t87)) % 0.39/0.61 (define @t89 () (tptp.times @t53 @t53)) % 0.39/0.61 (define @t90 () (tptp.times @t54 @t39)) % 0.39/0.61 (define @t91 () (= @t90 @t89)) % 0.39/0.61 (define @t92 () (tptp.times @t37 @t54)) % 0.39/0.61 (define @t93 () (= (tptp.times @t81 @t39) @t92)) % 0.39/0.61 (define @t94 () (tptp.times @t37 @t53)) % 0.39/0.61 (define @t95 () (tptp.times @t68 @t37)) % 0.39/0.61 (define @t96 () (= @t95 (tptp.times @t39 @t94))) % 0.39/0.61 (define @t97 () (tptp.times @t40 @t72)) % 0.39/0.61 (define @t98 () (tptp.times @t73 @t40)) % 0.39/0.61 (define @t99 () (= @t98 (tptp.times @t37 @t97))) % 0.39/0.61 (define @t100 () (tptp.times @t40 @t48)) % 0.39/0.61 (define @t101 () (= @t100 (tptp.times @t39 @t62))) % 0.39/0.61 (define @t102 () (tptp.times @t53 @t62)) % 0.39/0.61 (define @t103 () (tptp.times @t94 @t48)) % 0.39/0.61 (define @t104 () (= @t103 @t102)) % 0.39/0.61 (define @t105 () (tptp.times @t81 @t68)) % 0.39/0.61 (define @t106 () (tptp.times @t83 @t53)) % 0.39/0.61 (define @t107 () (= @t106 @t105)) % 0.39/0.61 (define @t108 () (tptp.times @t82 @t37)) % 0.39/0.61 (define @t109 () (tptp.times @t37 @t108)) % 0.39/0.61 (define @t110 () (= @t84 @t109)) % 0.39/0.61 (define @t111 () (tptp.times @t37 @t83)) % 0.39/0.61 (define @t112 () (tptp.times @t53 @t111)) % 0.39/0.61 (define @t113 () (= (tptp.times @t106 @t37) @t112)) % 0.39/0.61 (define @t114 () (= @t81 @t72)) % 0.39/0.61 (define @t115 () (tptp.times @t81 @t83)) % 0.39/0.61 (define @t116 () (tptp.times @t106 @t81)) % 0.39/0.61 (define @t117 () (= @t116 (tptp.times @t53 @t115))) % 0.39/0.61 (define @t118 () (tptp.times @t48 @t40)) % 0.39/0.61 (define @t119 () (tptp.times @t48 @t118)) % 0.39/0.61 (define @t120 () (= (tptp.times @t100 @t48) @t119)) % 0.39/0.61 (define @t121 () (tptp.times @t62 @t40)) % 0.39/0.61 (define @t122 () (= @t121 (tptp.times @t37 @t100))) % 0.39/0.61 (define @t123 () (tptp.times @t81 @t53)) % 0.39/0.61 (define @t124 () (tptp.times @t39 @t123)) % 0.39/0.61 (define @t125 () (= (tptp.times @t68 @t81) @t124)) % 0.39/0.61 (define @t126 () (tptp.times @t48 @t100)) % 0.39/0.61 (define @t127 () (= (tptp.times @t87 @t40) @t126)) % 0.39/0.61 (define @t128 () (tptp.times @t37 @t89)) % 0.39/0.61 (define @t129 () (= @t123 @t128)) % 0.39/0.61 (define @t130 () (tptp.times @t82 @t87)) % 0.39/0.61 (define @t131 () (= (tptp.times @t84 @t48) @t130)) % 0.39/0.61 (define @t132 () (= @t115 (tptp.times @t37 @t106))) % 0.39/0.61 (define @t133 () (tptp.times @t72 @t83)) % 0.39/0.61 (define @t134 () (tptp.times @t37 @t40)) % 0.39/0.61 (define @t135 () (and @t50 @t55 @t86 @t88 @t91 @t93 @t65 @t71 @t76 @t80 @t96 @t99 @t101 @t104 @t107 @t110 @t113 @t114 @t117 @t120 @t122 @t125 @t127 @t129 @t131 @t132)) % 0.39/0.61 (assume @p1 @t5) % 0.39/0.61 (assume @p2 @t13) % 0.39/0.61 (assume @p3 @t19) % 0.39/0.61 (assume @p4 true) % 0.39/0.61 (step @p5 :rule bool-double-not-elim :args (@t20)) % 0.39/0.61 (step @p6 :rule aci_norm :args ((= (or @t21 false) @t21))) % 0.39/0.61 (step @p7 :rule evaluate :args ((not true))) % 0.39/0.61 (step @p8 :rule eq-refl :args (@t6)) % 0.39/0.61 (step @p9 :rule cong :premises (@p8) :args (@t22)) % 0.39/0.61 (step @p10 :rule trans :premises (@p9 @p7)) % 0.39/0.61 (step @p11 :rule refl :args (@t21)) % 0.39/0.61 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t23)) % 0.39/0.61 (step @p13 :rule trans :premises (@p12 @p6)) % 0.39/0.61 (step @p14 :rule quant-var-elim-eq :args ((= (forall @t9 @t28) @t23))) % 0.39/0.61 (step @p15 :rule aci_norm :args ((= @t29 @t28))) % 0.39/0.61 (step @p16 :rule cong :premises (@p15) :args ((forall @t9 @t29))) % 0.39/0.61 (step @p17 :rule trans :premises (@p16 @p14)) % 0.39/0.61 (step @p18 :rule trans :premises (@p17 @p13)) % 0.39/0.61 (step @p19 :rule bool-and-de-morgan :args (@t26 @t24 true)) % 0.39/0.61 (step @p20 :rule cong :premises (@p19) :args (@t31)) % 0.39/0.61 (step @p21 :rule trans :premises (@p20 @p18)) % 0.39/0.61 (step @p22 :rule cong :premises (@p21) :args (@t32)) % 0.39/0.61 (step @p23 :rule trans :premises (@p22 @p5)) % 0.39/0.61 (step @p24 :rule exists-elim :args ((= (exists @t9 @t30) @t32))) % 0.39/0.61 (step @p25 :rule trans :premises (@p24 @p23)) % 0.39/0.61 (step @p26 :rule eq-symm :args (@t6 @t2)) % 0.39/0.61 (step @p27 :rule eq-symm :args (@t7 @t3)) % 0.39/0.61 (step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t8)) % 0.39/0.61 (step @p29 :rule cong :premises (@p28) :args (@t10)) % 0.39/0.61 (step @p30 :rule trans :premises (@p29 @p25)) % 0.39/0.61 (step @p31 :rule refl :args (@t11)) % 0.39/0.61 (step @p32 :rule cong :premises (@p31 @p30) :args (@t12)) % 0.39/0.61 (step @p33 :rule cong :premises (@p32) :args (@t13)) % 0.39/0.61 (step @p34 :rule eq_resolve :premises (@p2 @p33)) % 0.39/0.61 (step @p35 :rule instantiate :premises (@p34) :args ((@list @t37))) % 0.39/0.61 (step @p36 :rule aci_norm :args ((= (or (or @t34 @t33) @t14) @t35))) % 0.39/0.61 (step @p37 :rule refl :args (@t14)) % 0.39/0.61 (step @p38 :rule bool-and-de-morgan :args (@t15 @t11 true)) % 0.39/0.61 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or (not @t16) @t14))) % 0.39/0.61 (step @p40 :rule trans :premises (@p39 @p36)) % 0.39/0.61 (step @p41 :rule bool-impl-elim :args (@t16 @t14)) % 0.39/0.61 (step @p42 :rule trans :premises (@p41 @p40)) % 0.39/0.61 (step @p43 :rule cong :premises (@p42) :args (@t18)) % 0.39/0.61 (step @p44 :rule cong :premises (@p43) :args (@t19)) % 0.39/0.61 (step @p45 :rule eq_resolve :premises (@p3 @p44)) % 0.39/0.61 (step @p46 :rule skolemize :premises (@p45)) % 0.39/0.61 (step @p47 :rule bool-double-not-elim :args (@t38)) % 0.39/0.61 (step @p48 :rule refl :args (@t45)) % 0.39/0.61 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t45 (not @t44)))) % 0.39/0.61 (step @p50 :rule cnf_or_neg :args (@t45 0)) % 0.39/0.61 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.39/0.61 (step @p52 :rule reordering :premises (@p51) :args ((or @t38 @t45))) % 0.39/0.61 (step @p53 :rule chain_m_resolution :premises (@p52 @p46) :args (@t38 @t46 @t47)) % 0.39/0.61 (step @p54 :rule cnf_equiv_pos1 :args (@t51)) % 0.39/0.61 (step @p55 :rule reordering :premises (@p54) :args ((or @t44 @t50 (not @t51)))) % 0.39/0.61 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p35) :args (@t50 @t52 (@list @t38 @t51))) % 0.39/0.61 (step @p57 :rule instantiate :premises (@p34) :args ((@list @t39))) % 0.39/0.61 (step @p58 :rule bool-double-not-elim :args (@t42)) % 0.39/0.61 (step @p59 :rule nary_cong :premises (@p48 @p58) :args ((or @t45 (not @t43)))) % 0.39/0.61 (step @p60 :rule cnf_or_neg :args (@t45 1)) % 0.39/0.61 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.39/0.61 (step @p62 :rule reordering :premises (@p61) :args ((or @t42 @t45))) % 0.39/0.61 (step @p63 :rule chain_m_resolution :premises (@p62 @p46) :args (@t42 @t46 @t47)) % 0.39/0.61 (step @p64 :rule cnf_equiv_pos1 :args (@t56)) % 0.39/0.61 (step @p65 :rule reordering :premises (@p64) :args ((or @t43 @t55 (not @t56)))) % 0.39/0.61 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p57) :args (@t55 @t52 (@list @t42 @t56))) % 0.39/0.61 (step @p67 :rule instantiate :premises (@p34) :args ((@list @t40))) % 0.39/0.61 (step @p68 :rule cnf_or_neg :args (@t45 2)) % 0.39/0.61 (step @p69 :rule chain_m_resolution :premises (@p68 @p46) :args ((not @t41) @t46 @t47)) % 0.39/0.61 (step @p70 :rule cnf_equiv_pos2 :args (@t60)) % 0.39/0.61 (step @p71 :rule reordering :premises (@p70) :args ((or @t41 @t61 (not @t60)))) % 0.39/0.61 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p67) :args (@t61 (@list true false) (@list @t41 @t60))) % 0.39/0.61 (step @p73 :rule instantiate :premises (@p1) :args ((@list @t37 @t48 @t39))) % 0.39/0.61 (step @p74 :rule instantiate :premises (@p1) :args ((@list @t37 @t48 @t37))) % 0.39/0.61 (step @p75 :rule instantiate :premises (@p1) :args ((@list @t39 @t53 @t39))) % 0.39/0.61 (step @p76 :rule instantiate :premises (@p1) :args ((@list @t53 @t37 @t39))) % 0.39/0.61 (step @p77 :rule eq-symm :args (@t62 @t49)) % 0.39/0.61 (step @p78 :rule refl :args (@t5)) % 0.39/0.61 (step @p79 :rule cong :premises (@p78 @p77) :args ((=> @t5 @t63))) % 0.39/0.61 (assume-push @p274 @t5) % 0.39/0.61 (step @p81 :rule instantiate :premises (@p1) :args (@t64)) % 0.39/0.61 (step-pop @p275 :rule scope :premises (@p81)) % 0.39/0.61 (step @p82 :rule process_scope :premises (@p275) :args (@t63)) % 0.39/0.61 (step @p84 :rule eq_resolve :premises (@p82 @p79)) % 0.39/0.61 (step @p85 :rule implies_elim :premises (@p84)) % 0.39/0.61 (step @p86 :rule chain_m_resolution :premises (@p85 @p1) :args (@t65 @t66 @t67)) % 0.39/0.61 (step @p87 :rule eq-symm :args (@t68 @t54)) % 0.39/0.61 (step @p88 :rule cong :premises (@p78 @p87) :args ((=> @t5 @t69))) % 0.39/0.61 (assume-push @p276 @t5) % 0.39/0.61 (step @p90 :rule instantiate :premises (@p1) :args (@t70)) % 0.39/0.61 (step-pop @p277 :rule scope :premises (@p90)) % 0.39/0.61 (step @p91 :rule process_scope :premises (@p277) :args (@t69)) % 0.39/0.61 (step @p93 :rule eq_resolve :premises (@p91 @p88)) % 0.39/0.61 (step @p94 :rule implies_elim :premises (@p93)) % 0.39/0.61 (step @p95 :rule chain_m_resolution :premises (@p94 @p1) :args (@t71 @t66 @t67)) % 0.39/0.61 (step @p96 :rule eq-symm :args (@t73 @t57)) % 0.39/0.61 (step @p97 :rule cong :premises (@p78 @p96) :args ((=> @t5 @t74))) % 0.39/0.61 (assume-push @p278 @t5) % 0.39/0.61 (step @p99 :rule instantiate :premises (@p1) :args (@t75)) % 0.39/0.61 (step-pop @p279 :rule scope :premises (@p99)) % 0.39/0.61 (step @p100 :rule process_scope :premises (@p279) :args (@t74)) % 0.39/0.61 (step @p102 :rule eq_resolve :premises (@p100 @p97)) % 0.39/0.61 (step @p103 :rule implies_elim :premises (@p102)) % 0.39/0.61 (step @p104 :rule chain_m_resolution :premises (@p103 @p1) :args (@t76 @t66 @t67)) % 0.39/0.61 (step @p105 :rule eq-symm :args (@t77 @t58)) % 0.39/0.61 (step @p106 :rule cong :premises (@p78 @p105) :args ((=> @t5 @t78))) % 0.39/0.61 (assume-push @p280 @t5) % 0.39/0.61 (step @p108 :rule instantiate :premises (@p1) :args (@t79)) % 0.39/0.61 (step-pop @p281 :rule scope :premises (@p108)) % 0.39/0.61 (step @p109 :rule process_scope :premises (@p281) :args (@t78)) % 0.39/0.61 (step @p111 :rule eq_resolve :premises (@p109 @p106)) % 0.39/0.61 (step @p112 :rule implies_elim :premises (@p111)) % 0.39/0.61 (step @p113 :rule chain_m_resolution :premises (@p112 @p1) :args (@t80 @t66 @t67)) % 0.39/0.61 (step @p114 :rule instantiate :premises (@p1) :args ((@list @t53 @t39 @t37))) % 0.39/0.61 (step @p115 :rule instantiate :premises (@p1) :args ((@list @t72 @t37 @t40))) % 0.39/0.61 (step @p116 :rule instantiate :premises (@p1) :args ((@list @t37 @t39 @t48))) % 0.39/0.61 (step @p117 :rule instantiate :premises (@p1) :args ((@list @t37 @t53 @t48))) % 0.39/0.61 (step @p118 :rule instantiate :premises (@p1) :args ((@list @t39 @t81 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:rule instantiate :premises (@p1) :args (@t79)) % 0.39/0.61 (step @p156 :rule refl :args (@t40)) % 0.39/0.61 (step @p99 :rule instantiate :premises (@p1) :args (@t75)) % 0.39/0.61 (step @p157 :rule cong :premises (@p99 @p156) :args (@t98)) % 0.39/0.61 (step @p158 :rule symm :premises (@p115)) % 0.39/0.61 (step @p159 :rule refl :args (@t97)) % 0.39/0.61 (step @p160 :rule symm :premises (@p56)) % 0.39/0.61 (step @p81 :rule instantiate :premises (@p1) :args (@t64)) % 0.39/0.61 (step @p161 :rule trans :premises (@p81 @p160)) % 0.39/0.61 (step @p162 :rule cong :premises (@p161 @p159) :args ((tptp.times @t62 @t97))) % 0.39/0.61 (step @p163 :rule refl :args (@t53)) % 0.39/0.61 (step @p164 :rule cong :premises (@p163 @p161) :args (@t102)) % 0.39/0.61 (step @p165 :rule trans :premises (@p117 @p164 @p121)) % 0.39/0.61 (step @p166 :rule cong :premises (@p156 @p165) :args ((tptp.times @t40 @t103))) % 0.39/0.61 (step @p167 :rule symm :premises (@p117)) % 0.39/0.61 (step @p168 :rule symm :premises 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(step @p213 :rule symm :premises (@p195)) % 0.39/0.61 (step @p214 :rule trans :premises (@p116 @p213)) % 0.39/0.61 (step @p215 :rule refl :args (@t48)) % 0.39/0.61 (step @p216 :rule cong :premises (@p215 @p214) :args (@t126)) % 0.39/0.61 (step @p217 :rule cong :premises (@p56 @p173) :args (@t48)) % 0.39/0.61 (step @p218 :rule trans :premises (@p217 @p74)) % 0.39/0.61 (step @p219 :rule cong :premises (@p218 @p156) :args (@t118)) % 0.39/0.61 (step @p220 :rule trans :premises (@p219 @p126 @p216 @p212 @p211)) % 0.39/0.61 (step @p221 :rule cong :premises (@p215 @p220) :args (@t119)) % 0.39/0.61 (step @p222 :rule symm :premises (@p214)) % 0.39/0.61 (step @p223 :rule cong :premises (@p222 @p215) :args ((tptp.times @t82 @t48))) % 0.39/0.61 (step @p224 :rule symm :premises (@p218)) % 0.39/0.61 (step @p225 :rule refl :args (@t82)) % 0.39/0.61 (step @p226 :rule cong :premises (@p225 @p224) :args (@t130)) % 0.39/0.61 (step @p227 :rule symm :premises (@p211)) % 0.39/0.61 (step @p228 :rule trans 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(@p322)) % 0.39/0.61 (step-pop @p324 :rule scope :premises (@p323)) % 0.39/0.61 (step-pop @p325 :rule scope :premises (@p324)) % 0.39/0.61 (step-pop @p326 :rule scope :premises (@p325)) % 0.39/0.61 (step-pop @p327 :rule scope :premises (@p326)) % 0.39/0.61 (step-pop @p328 :rule scope :premises (@p327)) % 0.39/0.61 (step-pop @p329 :rule scope :premises (@p328)) % 0.39/0.61 (step-pop @p330 :rule scope :premises (@p329)) % 0.39/0.61 (step-pop @p331 :rule scope :premises (@p330)) % 0.39/0.61 (step-pop @p332 :rule scope :premises (@p331)) % 0.39/0.61 (step-pop @p333 :rule scope :premises (@p332)) % 0.39/0.61 (step @p242 :rule process_scope :premises (@p333) :args (@t59)) % 0.39/0.61 (step @p269 :rule implies_elim :premises (@p242)) % 0.39/0.61 (step @p270 :rule cnf_and_neg :args (@t135)) % 0.39/0.61 (step @p271 :rule resolution :premises (@p270 @p269) :args (true @t135)) % 0.39/0.61 (step @p272 :rule reordering :premises (@p271) :args ((or @t59 (not @t50) (not @t55) (not @t86) (not @t88) (not @t91) (not @t93) (not @t65) (not @t71) (not @t76) (not @t80) (not @t96) (not @t99) (not @t101) (not @t104) (not @t107) (not @t110) (not @t113) (not @t114) (not @t117) (not @t120) (not @t122) (not @t125) (not @t127) (not @t129) (not @t131) (not @t132)))) % 0.39/0.61 (step @p273 false :rule chain_m_resolution :premises (@p272 @p129 @p128 @p127 @p126 @p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p104 @p95 @p86 @p76 @p75 @p74 @p73 @p72 @p66 @p56) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false true false false) (@list @t132 @t131 @t129 @t127 @t125 @t122 @t120 @t117 @t114 @t113 @t110 @t107 @t104 @t101 @t99 @t96 @t80 @t76 @t71 @t65 @t93 @t91 @t88 @t86 @t59 @t55 @t50))) % 0.39/0.61 ) % 0.39/0.61 % SZS output end Proof % 0.39/0.61 % cvc5 exiting %------------------------------------------------------------------------------