%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV515+1 : TPTP v9.2.1. Released v7.0.0. % 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 08:56:02 AM UTC 2026 % Result : Theorem 15.93s 16.14s % Output : Proof 15.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV515+1 : TPTP v9.2.1. Released v7.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.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 : Tue Jun 2 18:34:54 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.93/16.14 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.93/16.14 --- Run --no-e-matching --full-saturate-quant at 6... % 15.93/16.14 % SZS status Theorem % 15.93/16.14 % SZS output start Proof % 15.93/16.14 ( % 15.93/16.14 (declare-sort $$unsorted 0) % 15.93/16.14 (declare-const tptp.g_true (-> $$unsorted $$unsorted Bool)) % 15.93/16.14 (declare-const tptp.g_false (-> $$unsorted $$unsorted Bool)) % 15.93/16.14 (declare-const tptp.g_both (-> $$unsorted $$unsorted Bool)) % 15.93/16.14 (declare-const tptp.g_false_only (-> $$unsorted $$unsorted Bool)) % 15.93/16.14 (declare-const tptp.g_true_only (-> $$unsorted $$unsorted Bool)) % 15.93/16.14 (define @t1 () (@var "B" $$unsorted)) % 15.93/16.14 (define @t2 () (tptp.g_true_only @t1 @t1)) % 15.93/16.14 (define @t3 () (@var "A" $$unsorted)) % 15.93/16.14 (define @t4 () (tptp.g_false_only @t1 @t3)) % 15.93/16.14 (define @t5 () (tptp.g_false_only @t1 @t1)) % 15.93/16.14 (define @t6 () (tptp.g_true_only @t1 @t3)) % 15.93/16.14 (define @t7 () (@list @t1)) % 15.93/16.14 (define @t8 () (forall @t7 (or (and @t6 @t5) (and @t4 @t2)))) % 15.93/16.14 (define @t9 () (@list @t3)) % 15.93/16.14 (define @t10 () (exists @t9 @t8)) % 15.93/16.14 (define @t11 () (not @t10)) % 15.93/16.14 (define @t12 () (tptp.g_both @t1 @t1)) % 15.93/16.14 (define @t13 () (or @t5 @t12)) % 15.93/16.14 (define @t14 () (and @t4 @t13)) % 15.93/16.14 (define @t15 () (or @t5 @t2)) % 15.93/16.14 (define @t16 () (tptp.g_both @t1 @t3)) % 15.93/16.14 (define @t17 () (and @t16 @t15)) % 15.93/16.14 (define @t18 () (or @t12 @t2)) % 15.93/16.14 (define @t19 () (and @t6 @t18)) % 15.93/16.14 (define @t20 () (or @t19 @t17 @t14)) % 15.93/16.14 (define @t21 () (exists @t7 @t20)) % 15.93/16.14 (define @t22 () (not @t21)) % 15.93/16.14 (define @t23 () (and @t16 @t12)) % 15.93/16.14 (define @t24 () (exists @t7 @t23)) % 15.93/16.14 (define @t25 () (and @t24 @t22)) % 15.93/16.14 (define @t26 () (exists @t9 @t25)) % 15.93/16.14 (define @t27 () (and @t26 @t11)) % 15.93/16.14 (define @t28 () (forall @t9 @t21)) % 15.93/16.14 (define @t29 () (or @t28 @t27)) % 15.93/16.14 (define @t30 () (not @t29)) % 15.93/16.14 (define @t31 () (@var "X_1" $$unsorted)) % 15.93/16.14 (define @t32 () (@var "X_2" $$unsorted)) % 15.93/16.14 (define @t33 () (tptp.g_false @t32 @t31)) % 15.93/16.14 (define @t34 () (tptp.g_true @t32 @t31)) % 15.93/16.14 (define @t35 () (tptp.g_true_only @t32 @t31)) % 15.93/16.14 (define @t36 () (@list @t32 @t31)) % 15.93/16.14 (define @t37 () (tptp.g_both @t32 @t31)) % 15.93/16.14 (define @t38 () (tptp.g_false_only @t32 @t31)) % 15.93/16.14 (define @t39 () (@var "BOUND_VARIABLE_7514" $$unsorted)) % 15.93/16.14 (define @t40 () (and (not (tptp.g_false_only @t39 @t39)) (not (tptp.g_both @t39 @t39)))) % 15.93/16.14 (define @t41 () (@list @t39)) % 15.93/16.14 (define @t42 () (forall @t41 (or (not (tptp.g_false_only @t39 @t3)) @t40))) % 15.93/16.14 (define @t43 () (not @t42)) % 15.93/16.14 (define @t44 () (@var "BOUND_VARIABLE_7502" $$unsorted)) % 15.93/16.14 (define @t45 () (and (not (tptp.g_false_only @t44 @t44)) (not (tptp.g_true_only @t44 @t44)))) % 15.93/16.14 (define @t46 () (@list @t44)) % 15.93/16.14 (define @t47 () (forall @t46 (or (not (tptp.g_both @t44 @t3)) @t45))) % 15.93/16.14 (define @t48 () (not @t47)) % 15.93/16.14 (define @t49 () (@var "BOUND_VARIABLE_7490" $$unsorted)) % 15.93/16.14 (define @t50 () (and (not (tptp.g_both @t49 @t49)) (not (tptp.g_true_only @t49 @t49)))) % 15.93/16.14 (define @t51 () (@list @t49)) % 15.93/16.14 (define @t52 () (forall @t51 (or (not (tptp.g_true_only @t49 @t3)) @t50))) % 15.93/16.14 (define @t53 () (not @t52)) % 15.93/16.14 (define @t54 () (or @t53 @t48 @t43)) % 15.93/16.14 (define @t55 () (@quantifiers_skolemize (forall @t9 @t54) 0)) % 15.93/16.14 (define @t56 () (@list @t55 @t55)) % 15.93/16.14 (define @t57 () (tptp.g_both @t55 @t55)) % 15.93/16.14 (define @t58 () (not @t57)) % 15.93/16.14 (define @t59 () (tptp.g_false_only @t55 @t55)) % 15.93/16.14 (define @t60 () (not @t59)) % 15.93/16.14 (define @t61 () (and @t60 @t58)) % 15.93/16.14 (define @t62 () (forall @t9 (not @t8))) % 15.93/16.14 (define @t63 () (not @t62)) % 15.93/16.14 (define @t64 () (@var "BOUND_VARIABLE_7549" $$unsorted)) % 15.93/16.14 (define @t65 () (not (tptp.g_both @t64 @t64))) % 15.93/16.14 (define @t66 () (not (tptp.g_both @t64 @t3))) % 15.93/16.14 (define @t67 () (or @t53 @t48 @t43 @t66 @t65)) % 15.93/16.14 (define @t68 () (or @t66 @t65)) % 15.93/16.14 (define @t69 () (or @t68 @t53 @t48 @t43)) % 15.93/16.14 (define @t70 () (@list @t3 @t64)) % 15.93/16.14 (define @t71 () (forall @t70 @t69)) % 15.93/16.14 (define @t72 () (@list @t64)) % 15.93/16.14 (define @t73 () (forall @t72 @t69)) % 15.93/16.14 (define @t74 () (forall @t72 @t68)) % 15.93/16.14 (define @t75 () (@list @t1)) % 15.93/16.14 (define @t76 () (or @t74 @t53 @t48 @t43)) % 15.93/16.14 (define @t77 () (not @t12)) % 15.93/16.14 (define @t78 () (not @t16)) % 15.93/16.14 (define @t79 () (forall @t7 (or @t78 @t77))) % 15.93/16.14 (define @t80 () (not @t79)) % 15.93/16.14 (define @t81 () (not @t80)) % 15.93/16.14 (define @t82 () (or @t81 @t53 @t48 @t43)) % 15.93/16.14 (define @t83 () (or @t53 (or @t48 @t43))) % 15.93/16.14 (define @t84 () (and @t52 @t47 @t42)) % 15.93/16.14 (define @t85 () (not @t84)) % 15.93/16.14 (define @t86 () (and @t80 @t52 @t47 @t42)) % 15.93/16.14 (define @t87 () (forall @t9 (not @t86))) % 15.93/16.14 (define @t88 () (not @t87)) % 15.93/16.14 (define @t89 () (not @t5)) % 15.93/16.14 (define @t90 () (not @t4)) % 15.93/16.14 (define @t91 () (or @t90 (and @t89 @t77))) % 15.93/16.14 (define @t92 () (forall @t7 @t91)) % 15.93/16.14 (define @t93 () (not @t2)) % 15.93/16.14 (define @t94 () (or @t78 (and @t89 @t93))) % 15.93/16.14 (define @t95 () (forall @t7 @t94)) % 15.93/16.14 (define @t96 () (not @t6)) % 15.93/16.14 (define @t97 () (or @t96 (and @t77 @t93))) % 15.93/16.14 (define @t98 () (forall @t7 @t97)) % 15.93/16.14 (define @t99 () (and @t98 @t95 @t92)) % 15.93/16.14 (define @t100 () (not @t14)) % 15.93/16.14 (define @t101 () (not @t17)) % 15.93/16.14 (define @t102 () (not @t19)) % 15.93/16.14 (define @t103 () (and @t102 @t101 @t100)) % 15.93/16.14 (define @t104 () (forall @t7 (not @t20))) % 15.93/16.14 (define @t105 () (not @t104)) % 15.93/16.14 (define @t106 () (forall @t7 (not @t23))) % 15.93/16.14 (define @t107 () (not @t106)) % 15.93/16.14 (define @t108 () (forall @t41 (or (not (tptp.g_false_only @t39 @t55)) @t40))) % 15.93/16.14 (define @t109 () (not @t108)) % 15.93/16.14 (define @t110 () (forall @t46 (or (not (tptp.g_both @t44 @t55)) @t45))) % 15.93/16.14 (define @t111 () (not @t110)) % 15.93/16.14 (define @t112 () (forall @t51 (or (not (tptp.g_true_only @t49 @t55)) @t50))) % 15.93/16.14 (define @t113 () (not @t112)) % 15.93/16.14 (define @t114 () (or @t113 @t111 @t109)) % 15.93/16.14 (define @t115 () (@list true)) % 15.93/16.14 (define @t116 () (@list @t114)) % 15.93/16.14 (define @t117 () (@list @t55)) % 15.93/16.14 (define @t118 () (or @t60 @t61)) % 15.93/16.14 (define @t119 () (@list false true)) % 15.93/16.14 (define @t120 () (tptp.g_true_only @t55 @t55)) % 15.93/16.14 (define @t121 () (not @t120)) % 15.93/16.14 (define @t122 () (and @t58 @t121)) % 15.93/16.14 (define @t123 () (or @t121 @t122)) % 15.93/16.14 (define @t124 () (or @t120 @t57 @t59)) % 15.93/16.14 (define @t125 () (@list true true false)) % 15.93/16.14 (define @t126 () (or @t113 @t111 @t109 @t58 @t58)) % 15.93/16.14 (define @t127 () (not @t126)) % 15.93/16.14 (define @t128 () (forall @t70 @t67)) % 15.93/16.14 (define @t129 () (not @t128)) % 15.93/16.14 (define @t130 () (@quantifiers_skolemize @t62 0)) % 15.93/16.14 (define @t131 () (forall @t7 (or (and (tptp.g_true_only @t1 @t130) @t5) (and (tptp.g_false_only @t1 @t130) @t2)))) % 15.93/16.14 (define @t132 () (not (not @t131))) % 15.93/16.14 (define @t133 () (and (tptp.g_false_only @t55 @t130) @t120)) % 15.93/16.14 (define @t134 () (and (tptp.g_true_only @t55 @t130) @t59)) % 15.93/16.14 (define @t135 () (or @t134 @t133)) % 15.93/16.14 (define @t136 () (not @t134)) % 15.93/16.14 (define @t137 () (not @t133)) % 15.93/16.14 (assume @p1 @t30) % 15.93/16.14 (assume @p2 (forall @t36 (= @t35 (and @t34 (not @t33))))) % 15.93/16.14 (assume @p3 (forall @t36 (= @t37 (and @t34 @t33)))) % 15.93/16.14 (assume @p4 (forall @t36 (= @t38 (and @t33 (not @t34))))) % 15.93/16.14 (assume @p5 (forall @t36 (or @t35 @t37 @t38))) % 15.93/16.14 (assume @p6 true) % 15.93/16.14 (step @p7 :rule instantiate :premises (@p5) :args (@t56)) % 15.93/16.14 (step @p8 :rule cnf_and_pos :args (@t61 0)) % 15.93/16.14 (step @p9 :rule reordering :premises (@p8) :args ((or @t60 (not @t61)))) % 15.93/16.14 (step @p10 :rule bool-double-not-elim :args (@t62)) % 15.93/16.14 (step @p11 :rule exists-elim :args ((= @t10 @t63))) % 15.93/16.14 (step @p12 :rule cong :premises (@p11) :args (@t11)) % 15.93/16.14 (step @p13 :rule trans :premises (@p12 @p10)) % 15.93/16.14 (step @p14 :rule aci_norm :args ((= @t69 @t67))) % 15.93/16.14 (step @p15 :rule cong :premises (@p14) :args (@t71)) % 15.93/16.14 (step @p16 :rule quant-merge-prenex :args ((= (forall @t9 @t73) @t71))) % 15.93/16.14 (step @p17 :rule refl :args (@t43)) % 15.93/16.14 (step @p18 :rule refl :args (@t48)) % 15.93/16.14 (step @p19 :rule refl :args (@t53)) % 15.93/16.14 (step @p20 :rule alpha_equiv :args (@t74 (@list @t64) @t75)) % 15.93/16.14 (step @p21 :rule nary_cong :premises (@p20 @p19 @p18 @p17) :args (@t76)) % 15.93/16.14 (step @p22 :rule quant-miniscope-or :args ((= @t73 @t76))) % 15.93/16.14 (step @p23 :rule trans :premises (@p22 @p21)) % 15.93/16.14 (step @p24 :rule symm :premises (@p23)) % 15.93/16.14 (step @p25 :rule cong :premises (@p24) :args ((forall @t9 (or @t79 @t53 @t48 @t43)))) % 15.93/16.14 (step @p26 :rule trans :premises (@p25 @p16)) % 15.93/16.14 (step @p27 :rule trans :premises (@p26 @p15)) % 15.93/16.14 (step @p28 :rule bool-double-not-elim :args (@t79)) % 15.93/16.14 (step @p29 :rule nary_cong :premises (@p28 @p19 @p18 @p17) :args (@t82)) % 15.93/16.14 (step @p30 :rule aci_norm :args ((= (or @t81 @t83) @t82))) % 15.93/16.14 (step @p31 :rule trans :premises (@p30 @p29)) % 15.93/16.14 (step @p32 :rule bool-and-de-morgan :args (@t47 @t42 true)) % 15.93/16.14 (step @p33 :rule nary_cong :premises (@p19 @p32) :args ((or @t53 (not (and @t47 @t42))))) % 15.93/16.14 (step @p34 :rule bool-and-de-morgan :args (@t52 @t47 (and @t42))) % 15.93/16.14 (step @p35 :rule trans :premises (@p34 @p33)) % 15.93/16.14 (step @p36 :rule refl :args (@t81)) % 15.93/16.14 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t81 @t85))) % 15.93/16.14 (step @p38 :rule bool-and-de-morgan :args (@t80 @t52 (and @t47 @t42))) % 15.93/16.14 (step @p39 :rule trans :premises (@p38 @p37)) % 15.93/16.14 (step @p40 :rule trans :premises (@p39 @p31)) % 15.93/16.14 (step @p41 :rule cong :premises (@p40) :args (@t87)) % 15.93/16.14 (step @p42 :rule trans :premises (@p41 @p27)) % 15.93/16.14 (step @p43 :rule cong :premises (@p42) :args (@t88)) % 15.93/16.14 (step @p44 :rule exists-elim :args ((= (exists @t9 @t86) @t88))) % 15.93/16.14 (step @p45 :rule trans :premises (@p44 @p43)) % 15.93/16.14 (step @p46 :rule aci_norm :args ((= (and @t80 @t84) @t86))) % 15.93/16.14 (step @p47 :rule bool-double-not-elim :args (@t84)) % 15.93/16.14 (step @p48 :rule alpha_equiv :args (@t92 @t75 (@list @t39))) % 15.93/16.14 (step @p49 :rule alpha_equiv :args (@t95 @t75 (@list @t44))) % 15.93/16.14 (step @p50 :rule alpha_equiv :args (@t98 @t75 (@list @t49))) % 15.93/16.14 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48) :args (@t99)) % 15.93/16.14 (step @p52 :rule quant-miniscope-and :args ((= (forall @t7 (and @t97 @t94 @t91)) @t99))) % 15.93/16.14 (step @p53 :rule trans :premises (@p52 @p51)) % 15.93/16.14 (step @p54 :rule bool-or-de-morgan :args (@t5 @t12 false)) % 15.93/16.14 (step @p55 :rule refl :args (@t90)) % 15.93/16.14 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t90 (not @t13)))) % 15.93/16.14 (step @p57 :rule bool-and-de-morgan :args (@t4 @t13 true)) % 15.93/16.14 (step @p58 :rule trans :premises (@p57 @p56)) % 15.93/16.14 (step @p59 :rule bool-or-de-morgan :args (@t5 @t2 false)) % 15.93/16.14 (step @p60 :rule refl :args (@t78)) % 15.93/16.14 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t78 (not @t15)))) % 15.93/16.14 (step @p62 :rule bool-and-de-morgan :args (@t16 @t15 true)) % 15.93/16.14 (step @p63 :rule trans :premises (@p62 @p61)) % 15.93/16.14 (step @p64 :rule bool-or-de-morgan :args (@t12 @t2 false)) % 15.93/16.14 (step @p65 :rule refl :args (@t96)) % 15.93/16.14 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t96 (not @t18)))) % 15.93/16.14 (step @p67 :rule bool-and-de-morgan :args (@t6 @t18 true)) % 15.93/16.14 (step @p68 :rule trans :premises (@p67 @p66)) % 15.93/16.14 (step @p69 :rule nary_cong :premises (@p68 @p63 @p58) :args (@t103)) % 15.93/16.14 (step @p70 :rule aci_norm :args ((= (and @t102 (and @t101 @t100)) @t103))) % 15.93/16.14 (step @p71 :rule bool-or-de-morgan :args (@t17 @t14 false)) % 15.93/16.14 (step @p72 :rule refl :args (@t102)) % 15.93/16.14 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((and @t102 (not (or @t17 @t14))))) % 15.93/16.14 (step @p74 :rule bool-or-de-morgan :args (@t19 @t17 (or @t14))) % 15.93/16.14 (step @p75 :rule trans :premises (@p74 @p73)) % 15.93/16.14 (step @p76 :rule trans :premises (@p75 @p70)) % 15.93/16.14 (step @p77 :rule trans :premises (@p76 @p69)) % 15.93/16.14 (step @p78 :rule cong :premises (@p77) :args (@t104)) % 15.93/16.14 (step @p79 :rule trans :premises (@p78 @p53)) % 15.93/16.14 (step @p80 :rule cong :premises (@p79) :args (@t105)) % 15.93/16.14 (step @p81 :rule exists-elim :args ((= @t21 @t105))) % 15.93/16.14 (step @p82 :rule trans :premises (@p81 @p80)) % 15.93/16.14 (step @p83 :rule cong :premises (@p82) :args (@t22)) % 15.93/16.14 (step @p84 :rule trans :premises (@p83 @p47)) % 15.93/16.14 (step @p85 :rule bool-and-de-morgan :args (@t16 @t12 true)) % 15.93/16.14 (step @p86 :rule cong :premises (@p85) :args (@t106)) % 15.93/16.14 (step @p87 :rule cong :premises (@p86) :args (@t107)) % 15.93/16.14 (step @p88 :rule exists-elim :args ((= @t24 @t107))) % 15.93/16.14 (step @p89 :rule trans :premises (@p88 @p87)) % 15.93/16.14 (step @p90 :rule nary_cong :premises (@p89 @p84) :args (@t25)) % 15.93/16.14 (step @p91 :rule trans :premises (@p90 @p46)) % 15.93/16.14 (step @p92 :rule cong :premises (@p91) :args (@t26)) % 15.93/16.14 (step @p93 :rule trans :premises (@p92 @p45)) % 15.93/16.14 (step @p94 :rule nary_cong :premises (@p93 @p13) :args (@t27)) % 15.93/16.14 (step @p95 :rule aci_norm :args ((= @t83 @t54))) % 15.93/16.14 (step @p96 :rule trans :premises (@p35 @p95)) % 15.93/16.14 (step @p97 :rule cong :premises (@p96) :args ((forall @t9 @t85))) % 15.93/16.14 (step @p98 :rule cong :premises (@p82) :args (@t28)) % 15.93/16.14 (step @p99 :rule trans :premises (@p98 @p97)) % 15.93/16.14 (step @p100 :rule nary_cong :premises (@p99 @p94) :args (@t29)) % 15.93/16.14 (step @p101 :rule cong :premises (@p100) :args (@t30)) % 15.93/16.14 (step @p102 :rule eq_resolve :premises (@p1 @p101)) % 15.93/16.14 (step @p103 :rule not_or_elim :premises (@p102) :args (0)) % 15.93/16.14 (step @p104 :rule skolemize :premises (@p103)) % 15.93/16.14 (step @p105 :rule bool-double-not-elim :args (@t108)) % 15.93/16.14 (step @p106 :rule refl :args (@t114)) % 15.93/16.14 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t114 (not @t109)))) % 15.93/16.14 (step @p108 :rule cnf_or_neg :args (@t114 2)) % 15.93/16.14 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 15.93/16.14 (step @p110 :rule reordering :premises (@p109) :args ((or @t108 @t114))) % 15.93/16.14 (step @p111 :rule chain_m_resolution :premises (@p110 @p104) :args (@t108 @t115 @t116)) % 15.93/16.14 (step @p112 :rule instantiate :premises (@p111) :args (@t117)) % 15.93/16.14 (step @p113 :rule cnf_or_pos :args (@t118)) % 15.93/16.14 (step @p114 :rule reordering :premises (@p113) :args ((or @t60 @t61 (not @t118)))) % 15.93/16.14 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p9) :args (@t60 @t119 (@list @t118 @t61))) % 15.93/16.14 (step @p116 :rule cnf_and_pos :args (@t122 1)) % 15.93/16.14 (step @p117 :rule reordering :premises (@p116) :args ((or @t121 (not @t122)))) % 15.93/16.14 (step @p118 :rule bool-double-not-elim :args (@t112)) % 15.93/16.14 (step @p119 :rule nary_cong :premises (@p106 @p118) :args ((or @t114 (not @t113)))) % 15.93/16.14 (step @p120 :rule cnf_or_neg :args (@t114 0)) % 15.93/16.14 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 15.93/16.14 (step @p122 :rule reordering :premises (@p121) :args ((or @t112 @t114))) % 15.93/16.14 (step @p123 :rule chain_m_resolution :premises (@p122 @p104) :args (@t112 @t115 @t116)) % 15.93/16.14 (step @p124 :rule instantiate :premises (@p123) :args (@t117)) % 15.93/16.14 (step @p125 :rule cnf_or_pos :args (@t123)) % 15.93/16.14 (step @p126 :rule reordering :premises (@p125) :args ((or @t121 @t122 (not @t123)))) % 15.93/16.14 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p117) :args (@t121 @t119 (@list @t123 @t122))) % 15.93/16.14 (step @p128 :rule cnf_or_pos :args (@t124)) % 15.93/16.14 (step @p129 :rule reordering :premises (@p128) :args ((or @t120 @t57 @t59 (not @t124)))) % 15.93/16.14 (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p115 @p7) :args (@t57 @t125 (@list @t120 @t59 @t124))) % 15.93/16.14 (step @p131 :rule bool-double-not-elim :args (@t110)) % 15.93/16.14 (step @p132 :rule nary_cong :premises (@p106 @p131) :args ((or @t114 (not @t111)))) % 15.93/16.14 (step @p133 :rule cnf_or_neg :args (@t114 1)) % 15.93/16.14 (step @p134 :rule eq_resolve :premises (@p133 @p132)) % 15.93/16.14 (step @p135 :rule reordering :premises (@p134) :args ((or @t110 @t114))) % 15.93/16.14 (step @p136 :rule chain_m_resolution :premises (@p135 @p104) :args (@t110 @t115 @t116)) % 15.93/16.14 (step @p137 :rule cnf_or_pos :args (@t126)) % 15.93/16.14 (step @p138 :rule factoring :premises (@p137)) % 15.93/16.14 (step @p139 :rule reordering :premises (@p138) :args ((or @t113 @t111 @t109 @t58 @t127))) % 15.93/16.14 (step @p140 :rule chain_m_resolution :premises (@p139 @p123 @p136 @p111 @p130) :args (@t127 (@list false false false false) (@list @t112 @t110 @t108 @t57))) % 15.93/16.14 (assume-push @p181 @t128) % 15.93/16.14 (step @p142 :rule instantiate :premises (@p181) :args (@t56)) % 15.93/16.14 (step-pop @p182 :rule scope :premises (@p142)) % 15.93/16.14 (step @p143 :rule process_scope :premises (@p182) :args (@t126)) % 15.93/16.14 (step @p145 :rule implies_elim :premises (@p143)) % 15.93/16.14 (step @p146 :rule chain_m_resolution :premises (@p145 @p140) :args (@t129 @t115 (@list @t126))) % 15.93/16.14 (step @p147 :rule refl :args (@t63)) % 15.93/16.14 (step @p148 :rule bool-double-not-elim :args (@t128)) % 15.93/16.14 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or (not @t129) @t63))) % 15.93/16.14 (step @p150 :rule not_or_elim :premises (@p102) :args (1)) % 15.93/16.14 (step @p151 :rule not_and :premises (@p150)) % 15.93/16.14 (step @p152 :rule eq_resolve :premises (@p151 @p149)) % 15.93/16.14 (step @p153 :rule chain_m_resolution :premises (@p152 @p146) :args (@t63 @t115 (@list @t128))) % 15.93/16.14 (step @p154 :rule refl :args (@t131)) % 15.93/16.14 (step @p155 :rule nary_cong :premises (@p10 @p154) :args ((or (not @t63) @t131))) % 15.93/16.14 (step @p156 :rule bool-double-not-elim :args (@t131)) % 15.93/16.14 (step @p157 :rule cong :premises (@p147 @p156) :args ((=> @t63 @t132))) % 15.93/16.14 (assume-push @p183 @t63) % 15.93/16.14 (step @p159 :rule skolemize :premises (@p183)) % 15.93/16.14 (step-pop @p184 :rule scope :premises (@p159)) % 15.93/16.14 (step @p160 :rule process_scope :premises (@p184) :args (@t132)) % 15.93/16.14 (step @p162 :rule eq_resolve :premises (@p160 @p157)) % 15.93/16.14 (step @p163 :rule implies_elim :premises (@p162)) % 15.93/16.14 (step @p164 :rule eq_resolve :premises (@p163 @p155)) % 15.93/16.14 (step @p165 :rule chain_m_resolution :premises (@p164 @p153) :args (@t131 @t115 (@list @t62))) % 15.93/16.14 (assume-push @p185 @t131) % 15.93/16.14 (step @p167 :rule instantiate :premises (@p185) :args (@t117)) % 15.93/16.14 (step-pop @p186 :rule scope :premises (@p167)) % 15.93/16.14 (step @p168 :rule process_scope :premises (@p186) :args (@t135)) % 15.93/16.14 (step @p170 :rule implies_elim :premises (@p168)) % 15.93/16.14 (step @p171 :rule chain_m_resolution :premises (@p170 @p165) :args (@t135 (@list false) (@list @t131))) % 15.93/16.14 (step @p172 :rule cnf_and_pos :args (@t134 1)) % 15.93/16.14 (step @p173 :rule reordering :premises (@p172) :args ((or @t59 @t136))) % 15.93/16.14 (step @p174 :rule chain_m_resolution :premises (@p173 @p115) :args (@t136 @t115 (@list @t59))) % 15.93/16.14 (step @p175 :rule cnf_and_pos :args (@t133 1)) % 15.93/16.14 (step @p176 :rule reordering :premises (@p175) :args ((or @t120 @t137))) % 15.93/16.14 (step @p177 :rule chain_m_resolution :premises (@p176 @p127) :args (@t137 @t115 (@list @t120))) % 15.93/16.14 (step @p178 :rule cnf_or_pos :args (@t135)) % 15.93/16.14 (step @p179 :rule reordering :premises (@p178) :args ((or @t134 @t133 (not @t135)))) % 15.93/16.14 (step @p180 false :rule chain_m_resolution :premises (@p179 @p177 @p174 @p171) :args (false @t125 (@list @t133 @t134 @t135))) % 15.93/16.14 ) % 15.93/16.14 % SZS output end Proof % 15.93/16.14 % cvc5 exiting %------------------------------------------------------------------------------