%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU192+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:50:54 AM UTC 2026 % Result : Theorem 128.53s 128.99s % Output : Proof 128.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU192+1 : TPTP v9.2.1. Released v3.3.0. % 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 : n021.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 16:38:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 128.53/128.99 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 128.53/128.99 --- Run --no-e-matching --full-saturate-quant at 6... % 128.53/128.99 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 128.53/128.99 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 128.53/128.99 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 128.53/128.99 --- Run --trigger-sel=max --full-saturate-quant at 15... % 128.53/128.99 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 128.53/128.99 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 128.53/128.99 --- Run --prenex-quant=none --full-saturate-quant at 30... % 128.53/128.99 % SZS status Theorem % 128.53/128.99 % SZS output start Proof % 128.53/128.99 ( % 128.53/128.99 (declare-sort $$unsorted 0) % 128.53/128.99 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 128.53/128.99 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 128.53/128.99 (declare-const tptp.empty_set $$unsorted) % 128.53/128.99 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 128.53/128.99 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 128.53/128.99 (declare-const tptp.empty (-> $$unsorted Bool)) % 128.53/128.99 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 128.53/128.99 (declare-const tptp.relation (-> $$unsorted Bool)) % 128.53/128.99 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 128.53/128.99 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 128.53/128.99 (define @t1 () (@var "A" $$unsorted)) % 128.53/128.99 (define @t2 () (@var "B" $$unsorted)) % 128.53/128.99 (define @t3 () (tptp.in @t1 @t2)) % 128.53/128.99 (define @t4 () (@list @t1 @t2)) % 128.53/128.99 (define @t5 () (tptp.relation @t1)) % 128.53/128.99 (define @t6 () (tptp.empty @t1)) % 128.53/128.99 (define @t7 () (@list @t1)) % 128.53/128.99 (define @t8 () (tptp.unordered_pair @t1 @t2)) % 128.53/128.99 (define @t9 () (@var "E" $$unsorted)) % 128.53/128.99 (define @t10 () (@var "D" $$unsorted)) % 128.53/128.99 (define @t11 () (tptp.ordered_pair @t10 @t9)) % 128.53/128.99 (define @t12 () (tptp.in @t10 @t2)) % 128.53/128.99 (define @t13 () (@var "C" $$unsorted)) % 128.53/128.99 (define @t14 () (tptp.in @t11 @t13)) % 128.53/128.99 (define @t15 () (@list @t10 @t9)) % 128.53/128.99 (define @t16 () (tptp.relation_dom_restriction @t1 @t2)) % 128.53/128.99 (define @t17 () (= (= @t13 @t16) (forall @t15 (= @t14 (and @t12 (tptp.in @t11 @t1)))))) % 128.53/128.99 (define @t18 () (tptp.relation @t13)) % 128.53/128.99 (define @t19 () (@list @t2 @t13)) % 128.53/128.99 (define @t20 () (forall @t19 (=> @t18 @t17))) % 128.53/128.99 (define @t21 () (=> @t5 @t20)) % 128.53/128.99 (define @t22 () (forall @t7 @t21)) % 128.53/128.99 (define @t23 () (tptp.ordered_pair @t13 @t10)) % 128.53/128.99 (define @t24 () (tptp.in @t23 @t1)) % 128.53/128.99 (define @t25 () (@list @t10)) % 128.53/128.99 (define @t26 () (exists @t25 @t24)) % 128.53/128.99 (define @t27 () (tptp.in @t13 @t2)) % 128.53/128.99 (define @t28 () (= @t27 @t26)) % 128.53/128.99 (define @t29 () (@list @t13)) % 128.53/128.99 (define @t30 () (forall @t29 @t28)) % 128.53/128.99 (define @t31 () (tptp.relation_dom @t1)) % 128.53/128.99 (define @t32 () (= @t2 @t31)) % 128.53/128.99 (define @t33 () (= @t32 @t30)) % 128.53/128.99 (define @t34 () (@list @t2)) % 128.53/128.99 (define @t35 () (forall @t34 @t33)) % 128.53/128.99 (define @t36 () (=> @t5 @t35)) % 128.53/128.99 (define @t37 () (forall @t7 @t36)) % 128.53/128.99 (define @t38 () (tptp.singleton @t1)) % 128.53/128.99 (define @t39 () (tptp.ordered_pair @t1 @t2)) % 128.53/128.99 (define @t40 () (tptp.relation @t16)) % 128.53/128.99 (define @t41 () (forall @t4 (=> @t5 @t40))) % 128.53/128.99 (define @t42 () (tptp.empty tptp.empty_set)) % 128.53/128.99 (define @t43 () (tptp.empty @t31)) % 128.53/128.99 (define @t44 () (not @t6)) % 128.53/128.99 (define @t45 () (and @t44 @t5)) % 128.53/128.99 (define @t46 () (tptp.element @t1 @t2)) % 128.53/128.99 (define @t47 () (tptp.empty @t2)) % 128.53/128.99 (define @t48 () (= (tptp.in @t1 (tptp.relation_dom (tptp.relation_dom_restriction @t13 @t2))) (and @t3 (tptp.in @t1 (tptp.relation_dom @t13))))) % 128.53/128.99 (define @t49 () (@list @t1 @t2 @t13)) % 128.53/128.99 (define @t50 () (forall @t49 (=> @t18 @t48))) % 128.53/128.99 (define @t51 () (not @t50)) % 128.53/128.99 (define @t52 () (not @t18)) % 128.53/128.99 (define @t53 () (forall @t19 (or @t52 @t17))) % 128.53/128.99 (define @t54 () (forall @t49 (or @t52 @t48))) % 128.53/128.99 (define @t55 () (@quantifiers_skolemize @t54 2)) % 128.53/128.99 (define @t56 () (@list @t55)) % 128.53/128.99 (define @t57 () (tptp.relation @t55)) % 128.53/128.99 (define @t58 () (tptp.relation_dom @t55)) % 128.53/128.99 (define @t59 () (@quantifiers_skolemize @t54 0)) % 128.53/128.99 (define @t60 () (tptp.in @t59 @t58)) % 128.53/128.99 (define @t61 () (@quantifiers_skolemize @t54 1)) % 128.53/128.99 (define @t62 () (tptp.in @t59 @t61)) % 128.53/128.99 (define @t63 () (and @t62 @t60)) % 128.53/128.99 (define @t64 () (tptp.relation_dom_restriction @t55 @t61)) % 128.53/128.99 (define @t65 () (tptp.relation_dom @t64)) % 128.53/128.99 (define @t66 () (tptp.in @t59 @t65)) % 128.53/128.99 (define @t67 () (= @t66 @t63)) % 128.53/128.99 (define @t68 () (not @t57)) % 128.53/128.99 (define @t69 () (or @t68 @t67)) % 128.53/128.99 (define @t70 () (@list true)) % 128.53/128.99 (define @t71 () (@list @t69)) % 128.53/128.99 (define @t72 () (tptp.in @t11 @t55)) % 128.53/128.99 (define @t73 () (forall @t19 (or @t52 (= (= @t13 (tptp.relation_dom_restriction @t55 @t2)) (forall @t15 (= @t14 (and @t12 @t72))))))) % 128.53/128.99 (define @t74 () (or @t68 @t73)) % 128.53/128.99 (define @t75 () (@list false false)) % 128.53/128.99 (define @t76 () (forall @t15 (= (tptp.in @t11 @t64) (and (tptp.in @t10 @t61) @t72)))) % 128.53/128.99 (define @t77 () (= (= @t64 @t64) @t76)) % 128.53/128.99 (define @t78 () (tptp.relation @t64)) % 128.53/128.99 (define @t79 () (not @t78)) % 128.53/128.99 (define @t80 () (or @t79 @t77)) % 128.53/128.99 (define @t81 () (or @t79 @t76)) % 128.53/128.99 (define @t82 () (@list false)) % 128.53/128.99 (define @t83 () (or @t68 @t78)) % 128.53/128.99 (define @t84 () (tptp.ordered_pair @t59 @t10)) % 128.53/128.99 (define @t85 () (forall @t25 (not (tptp.in @t84 @t55)))) % 128.53/128.99 (define @t86 () (@quantifiers_skolemize @t85 0)) % 128.53/128.99 (define @t87 () (not (forall @t25 (not @t24)))) % 128.53/128.99 (define @t88 () (forall @t34 (= @t32 (forall @t29 (= @t27 @t87))))) % 128.53/128.99 (define @t89 () (not (forall @t25 (not (tptp.in @t23 @t55))))) % 128.53/128.99 (define @t90 () (forall @t34 (= (= @t2 @t58) (forall @t29 (= @t27 @t89))))) % 128.53/128.99 (define @t91 () (or @t68 @t90)) % 128.53/128.99 (define @t92 () (tptp.in @t13 @t58)) % 128.53/128.99 (define @t93 () (forall @t29 (= @t89 @t92))) % 128.53/128.99 (define @t94 () (forall @t29 (= @t92 @t89))) % 128.53/128.99 (define @t95 () (= (= @t58 @t58) @t94)) % 128.53/128.99 (define @t96 () (not @t85)) % 128.53/128.99 (define @t97 () (= @t96 @t60)) % 128.53/128.99 (define @t98 () (@list @t59)) % 128.53/128.99 (define @t99 () (= @t60 @t96)) % 128.53/128.99 (define @t100 () (not (forall @t25 (not (tptp.in @t23 @t64))))) % 128.53/128.99 (define @t101 () (forall @t34 (= (= @t2 @t65) (forall @t29 (= @t27 @t100))))) % 128.53/128.99 (define @t102 () (or @t79 @t101)) % 128.53/128.99 (define @t103 () (tptp.in @t13 @t65)) % 128.53/128.99 (define @t104 () (forall @t29 (= @t100 @t103))) % 128.53/128.99 (define @t105 () (forall @t29 (= @t103 @t100))) % 128.53/128.99 (define @t106 () (= (= @t65 @t65) @t105)) % 128.53/128.99 (define @t107 () (forall @t25 (not (tptp.in @t84 @t64)))) % 128.53/128.99 (define @t108 () (not @t107)) % 128.53/128.99 (define @t109 () (= @t108 @t66)) % 128.53/128.99 (define @t110 () (= @t66 @t108)) % 128.53/128.99 (define @t111 () (not @t110)) % 128.53/128.99 (define @t112 () (not @t66)) % 128.53/128.99 (define @t113 () (@quantifiers_skolemize @t107 0)) % 128.53/128.99 (define @t114 () (tptp.ordered_pair @t59 @t113)) % 128.53/128.99 (define @t115 () (tptp.in @t114 @t64)) % 128.53/128.99 (define @t116 () (not @t108)) % 128.53/128.99 (define @t117 () (not @t115)) % 128.53/128.99 (define @t118 () (not @t117)) % 128.53/128.99 (define @t119 () (tptp.in @t114 @t55)) % 128.53/128.99 (define @t120 () (and @t62 @t119)) % 128.53/128.99 (define @t121 () (= @t115 @t120)) % 128.53/128.99 (define @t122 () (not @t120)) % 128.53/128.99 (define @t123 () (not @t99)) % 128.53/128.99 (define @t124 () (not @t96)) % 128.53/128.99 (define @t125 () (not @t63)) % 128.53/128.99 (define @t126 () (@list @t63)) % 128.53/128.99 (define @t127 () (tptp.ordered_pair @t59 @t86)) % 128.53/128.99 (define @t128 () (tptp.in @t127 @t55)) % 128.53/128.99 (define @t129 () (not @t128)) % 128.53/128.99 (define @t130 () (not @t129)) % 128.53/128.99 (define @t131 () (and @t62 @t128)) % 128.53/128.99 (define @t132 () (tptp.in @t127 @t64)) % 128.53/128.99 (define @t133 () (not @t132)) % 128.53/128.99 (define @t134 () (= @t132 @t131)) % 128.53/128.99 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 128.53/128.99 (assume @p2 (forall @t7 (=> @t6 @t5))) % 128.53/128.99 (assume @p3 (forall @t4 (= @t8 (tptp.unordered_pair @t2 @t1)))) % 128.53/128.99 (assume @p4 @t22) % 128.53/128.99 (assume @p5 @t37) % 128.53/128.99 (assume @p6 (forall @t4 (= @t39 (tptp.unordered_pair @t8 @t38)))) % 128.53/128.99 (assume @p7 true) % 128.53/128.99 (assume @p8 @t41) % 128.53/128.99 (assume @p9 (forall @t7 (exists @t34 (tptp.element @t2 @t1)))) % 128.53/128.99 (assume @p10 @t42) % 128.53/128.99 (assume @p11 (forall @t4 (not (tptp.empty @t39)))) % 128.53/128.99 (assume @p12 (forall @t7 (not (tptp.empty @t38)))) % 128.53/128.99 (assume @p13 (forall @t4 (not (tptp.empty @t8)))) % 128.53/128.99 (assume @p14 (and @t42 (tptp.relation tptp.empty_set))) % 128.53/128.99 (assume @p15 (forall @t7 (=> @t45 (not @t43)))) % 128.53/128.99 (assume @p16 (forall @t7 (=> @t6 (and @t43 (tptp.relation @t31))))) % 128.53/128.99 (assume @p17 (exists @t7 (and @t6 @t5))) % 128.53/128.99 (assume @p18 (exists @t7 @t6)) % 128.53/128.99 (assume @p19 (exists @t7 @t45)) % 128.53/128.99 (assume @p20 (exists @t7 @t44)) % 128.53/128.99 (assume @p21 (forall @t4 (=> @t3 @t46))) % 128.53/128.99 (assume @p22 (forall @t4 (=> @t46 (or @t47 @t3)))) % 128.53/128.99 (assume @p23 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 128.53/128.99 (assume @p24 (forall @t4 (not (and @t3 @t47)))) % 128.53/128.99 (assume @p25 @t51) % 128.53/128.99 (assume @p26 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t47)))) % 128.53/128.99 (step @p27 :rule bool-impl-elim :args (@t5 @t53)) % 128.53/128.99 (step @p28 :rule cong :premises (@p27) :args ((forall @t7 (=> @t5 @t53)))) % 128.53/128.99 (step @p29 :rule bool-impl-elim :args (@t18 @t17)) % 128.53/128.99 (step @p30 :rule cong :premises (@p29) :args (@t20)) % 128.53/128.99 (step @p31 :rule refl :args (@t5)) % 128.53/128.99 (step @p32 :rule cong :premises (@p31 @p30) :args (@t21)) % 128.53/128.99 (step @p33 :rule cong :premises (@p32) :args (@t22)) % 128.53/128.99 (step @p34 :rule trans :premises (@p33 @p28)) % 128.53/128.99 (step @p35 :rule eq_resolve :premises (@p4 @p34)) % 128.53/128.99 (step @p36 :rule instantiate :premises (@p35) :args (@t56)) % 128.53/128.99 (step @p37 :rule bool-impl-elim :args (@t18 @t48)) % 128.53/128.99 (step @p38 :rule cong :premises (@p37) :args (@t50)) % 128.53/128.99 (step @p39 :rule cong :premises (@p38) :args (@t51)) % 128.53/128.99 (step @p40 :rule eq_resolve :premises (@p25 @p39)) % 128.53/128.99 (step @p41 :rule skolemize :premises (@p40)) % 128.53/128.99 (step @p42 :rule bool-double-not-elim :args (@t57)) % 128.53/128.99 (step @p43 :rule refl :args (@t69)) % 128.53/128.99 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t69 (not @t68)))) % 128.53/128.99 (step @p45 :rule cnf_or_neg :args (@t69 0)) % 128.53/128.99 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 128.53/128.99 (step @p47 :rule reordering :premises (@p46) :args ((or @t57 @t69))) % 128.53/128.99 (step @p48 :rule chain_m_resolution :premises (@p47 @p41) :args (@t57 @t70 @t71)) % 128.53/128.99 (step @p49 :rule cnf_or_pos :args (@t74)) % 128.53/128.99 (step @p50 :rule reordering :premises (@p49) :args ((or @t68 @t73 (not @t74)))) % 128.53/128.99 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p36) :args (@t73 @t75 (@list @t57 @t74))) % 128.53/128.99 (step @p52 :rule bool-eq-true :args (@t76)) % 128.53/128.99 (step @p53 :rule eq-symm :args (true @t76)) % 128.53/128.99 (step @p54 :rule trans :premises (@p53 @p52)) % 128.53/128.99 (step @p55 :rule refl :args (@t76)) % 128.53/128.99 (step @p56 :rule eq-refl :args (@t64)) % 128.53/128.99 (step @p57 :rule cong :premises (@p56 @p55) :args (@t77)) % 128.53/128.99 (step @p58 :rule trans :premises (@p57 @p54)) % 128.53/128.99 (step @p59 :rule refl :args (@t79)) % 128.53/128.99 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t80)) % 128.53/128.99 (step @p61 :rule refl :args (@t73)) % 128.53/128.99 (step @p62 :rule cong :premises (@p61 @p60) :args ((=> @t73 @t80))) % 128.53/128.99 (assume-push @p239 @t73) % 128.53/128.99 (step @p64 :rule instantiate :premises (@p51) :args ((@list @t61 @t64))) % 128.53/128.99 (step-pop @p240 :rule scope :premises (@p64)) % 128.53/128.99 (step @p65 :rule process_scope :premises (@p240) :args (@t80)) % 128.53/128.99 (step @p67 :rule eq_resolve :premises (@p65 @p62)) % 128.53/128.99 (step @p68 :rule implies_elim :premises (@p67)) % 128.53/128.99 (step @p69 :rule chain_m_resolution :premises (@p68 @p51) :args (@t81 @t82 (@list @t73))) % 128.53/128.99 (step @p70 :rule bool-impl-elim :args (@t5 @t40)) % 128.53/128.99 (step @p71 :rule cong :premises (@p70) :args (@t41)) % 128.53/128.99 (step @p72 :rule eq_resolve :premises (@p8 @p71)) % 128.53/128.99 (step @p73 :rule instantiate :premises (@p72) :args ((@list @t55 @t61))) % 128.53/128.99 (step @p74 :rule cnf_or_pos :args (@t83)) % 128.53/128.99 (step @p75 :rule reordering :premises (@p74) :args ((or @t68 @t78 (not @t83)))) % 128.53/128.99 (step @p76 :rule chain_m_resolution :premises (@p75 @p48 @p73) :args (@t78 @t75 (@list @t57 @t83))) % 128.53/128.99 (step @p77 :rule cnf_or_pos :args (@t81)) % 128.53/128.99 (step @p78 :rule reordering :premises (@p77) :args ((or @t79 @t76 (not @t81)))) % 128.53/128.99 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p69) :args (@t76 @t75 (@list @t78 @t81))) % 128.53/128.99 (step @p80 :rule instantiate :premises (@p79) :args ((@list @t59 @t86))) % 128.53/128.99 (step @p81 :rule bool-impl-elim :args (@t5 @t88)) % 128.53/128.99 (step @p82 :rule cong :premises (@p81) :args ((forall @t7 (=> @t5 @t88)))) % 128.53/128.99 (step @p83 :rule exists-elim :args ((= @t26 @t87))) % 128.53/128.99 (step @p84 :rule refl :args (@t27)) % 128.53/128.99 (step @p85 :rule cong :premises (@p84 @p83) :args (@t28)) % 128.53/128.99 (step @p86 :rule cong :premises (@p85) :args (@t30)) % 128.53/128.99 (step @p87 :rule refl :args (@t32)) % 128.53/128.99 (step @p88 :rule cong :premises (@p87 @p86) :args (@t33)) % 128.53/128.99 (step @p89 :rule cong :premises (@p88) :args (@t35)) % 128.53/128.99 (step @p90 :rule cong :premises (@p31 @p89) :args (@t36)) % 128.53/128.99 (step @p91 :rule cong :premises (@p90) :args (@t37)) % 128.53/128.99 (step @p92 :rule trans :premises (@p91 @p82)) % 128.53/128.99 (step @p93 :rule eq_resolve :premises (@p5 @p92)) % 128.53/128.99 (step @p94 :rule instantiate :premises (@p93) :args (@t56)) % 128.53/128.99 (step @p95 :rule cnf_or_pos :args (@t91)) % 128.53/128.99 (step @p96 :rule reordering :premises (@p95) :args ((or @t68 @t90 (not @t91)))) % 128.53/128.99 (step @p97 :rule chain_m_resolution :premises (@p96 @p48 @p94) :args (@t90 @t75 (@list @t57 @t91))) % 128.53/128.99 (step @p98 :rule bool-eq-true :args (@t93)) % 128.53/128.99 (step @p99 :rule eq-symm :args (true @t93)) % 128.53/128.99 (step @p100 :rule trans :premises (@p99 @p98)) % 128.53/128.99 (step @p101 :rule eq-symm :args (@t92 @t89)) % 128.53/128.99 (step @p102 :rule cong :premises (@p101) :args (@t94)) % 128.53/128.99 (step @p103 :rule eq-refl :args (@t58)) % 128.53/128.99 (step @p104 :rule cong :premises (@p103 @p102) :args (@t95)) % 128.53/128.99 (step @p105 :rule trans :premises (@p104 @p100)) % 128.53/128.99 (step @p106 :rule refl :args (@t90)) % 128.53/128.99 (step @p107 :rule cong :premises (@p106 @p105) :args ((=> @t90 @t95))) % 128.53/128.99 (assume-push @p241 @t90) % 128.53/128.99 (step @p109 :rule instantiate :premises (@p97) :args ((@list @t58))) % 128.53/128.99 (step-pop @p242 :rule scope :premises (@p109)) % 128.53/128.99 (step @p110 :rule process_scope :premises (@p242) :args (@t95)) % 128.53/128.99 (step @p112 :rule eq_resolve :premises (@p110 @p107)) % 128.53/128.99 (step @p113 :rule implies_elim :premises (@p112)) % 128.53/128.99 (step @p114 :rule chain_m_resolution :premises (@p113 @p97) :args (@t93 @t82 (@list @t90))) % 128.53/128.99 (step @p115 :rule eq-symm :args (@t96 @t60)) % 128.53/128.99 (step @p116 :rule refl :args (@t93)) % 128.53/128.99 (step @p117 :rule cong :premises (@p116 @p115) :args ((=> @t93 @t97))) % 128.53/128.99 (assume-push @p243 @t93) % 128.53/128.99 (step @p119 :rule instantiate :premises (@p114) :args (@t98)) % 128.53/128.99 (step-pop @p244 :rule scope :premises (@p119)) % 128.53/128.99 (step @p120 :rule process_scope :premises (@p244) :args (@t97)) % 128.53/128.99 (step @p122 :rule eq_resolve :premises (@p120 @p117)) % 128.53/128.99 (step @p123 :rule implies_elim :premises (@p122)) % 128.53/128.99 (step @p124 :rule chain_m_resolution :premises (@p123 @p114) :args (@t99 @t82 (@list @t93))) % 128.53/128.99 (step @p125 :rule cnf_or_neg :args (@t69 1)) % 128.53/128.99 (step @p126 :rule chain_m_resolution :premises (@p125 @p41) :args ((not @t67) @t70 @t71)) % 128.53/128.99 (step @p127 :rule cnf_equiv_neg2 :args (@t67)) % 128.53/128.99 (step @p128 :rule instantiate :premises (@p93) :args ((@list @t64))) % 128.53/128.99 (step @p129 :rule cnf_or_pos :args (@t102)) % 128.53/128.99 (step @p130 :rule reordering :premises (@p129) :args ((or @t79 @t101 (not @t102)))) % 128.53/128.99 (step @p131 :rule chain_m_resolution :premises (@p130 @p76 @p128) :args (@t101 @t75 (@list @t78 @t102))) % 128.53/128.99 (step @p132 :rule bool-eq-true :args (@t104)) % 128.53/128.99 (step @p133 :rule eq-symm :args (true @t104)) % 128.53/128.99 (step @p134 :rule trans :premises (@p133 @p132)) % 128.53/128.99 (step @p135 :rule eq-symm :args (@t103 @t100)) % 128.53/128.99 (step @p136 :rule cong :premises (@p135) :args (@t105)) % 128.53/128.99 (step @p137 :rule eq-refl :args (@t65)) % 128.53/128.99 (step @p138 :rule cong :premises (@p137 @p136) :args (@t106)) % 128.53/128.99 (step @p139 :rule trans :premises (@p138 @p134)) % 128.53/128.99 (step @p140 :rule refl :args (@t101)) % 128.53/128.99 (step @p141 :rule cong :premises (@p140 @p139) :args ((=> @t101 @t106))) % 128.53/128.99 (assume-push @p245 @t101) % 128.53/128.99 (step @p143 :rule instantiate :premises (@p131) :args ((@list @t65))) % 128.53/128.99 (step-pop @p246 :rule scope :premises (@p143)) % 128.53/128.99 (step @p144 :rule process_scope :premises (@p246) :args (@t106)) % 128.53/128.99 (step @p146 :rule eq_resolve :premises (@p144 @p141)) % 128.53/128.99 (step @p147 :rule implies_elim :premises (@p146)) % 128.53/128.99 (step @p148 :rule chain_m_resolution :premises (@p147 @p131) :args (@t104 @t82 (@list @t101))) % 128.53/128.99 (step @p149 :rule eq-symm :args (@t108 @t66)) % 128.53/128.99 (step @p150 :rule refl :args (@t104)) % 128.53/128.99 (step @p151 :rule cong :premises (@p150 @p149) :args ((=> @t104 @t109))) % 128.53/128.99 (assume-push @p247 @t104) % 128.53/128.99 (step @p153 :rule instantiate :premises (@p148) :args (@t98)) % 128.53/128.99 (step-pop @p248 :rule scope :premises (@p153)) % 128.53/128.99 (step @p154 :rule process_scope :premises (@p248) :args (@t109)) % 128.53/128.99 (step @p156 :rule eq_resolve :premises (@p154 @p151)) % 128.53/128.99 (step @p157 :rule implies_elim :premises (@p156)) % 128.53/128.99 (step @p158 :rule chain_m_resolution :premises (@p157 @p148) :args (@t110 @t82 (@list @t104))) % 128.53/128.99 (step @p159 :rule cnf_equiv_pos1 :args (@t110)) % 128.53/128.99 (step @p160 :rule reordering :premises (@p159) :args ((or @t112 @t108 @t111))) % 128.53/128.99 (step @p161 :rule refl :args (@t115)) % 128.53/128.99 (step @p162 :rule bool-double-not-elim :args (@t107)) % 128.53/128.99 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t116 @t115))) % 128.53/128.99 (step @p164 :rule bool-double-not-elim :args (@t115)) % 128.53/128.99 (step @p165 :rule refl :args (@t108)) % 128.53/128.99 (step @p166 :rule cong :premises (@p165 @p164) :args ((=> @t108 @t118))) % 128.53/128.99 (assume-push @p249 @t108) % 128.53/128.99 (step @p168 :rule skolemize :premises (@p249)) % 128.53/128.99 (step-pop @p250 :rule scope :premises (@p168)) % 128.53/128.99 (step @p169 :rule process_scope :premises (@p250) :args (@t118)) % 128.53/128.99 (step @p171 :rule eq_resolve :premises (@p169 @p166)) % 128.53/128.99 (step @p172 :rule implies_elim :premises (@p171)) % 128.53/128.99 (step @p173 :rule eq_resolve :premises (@p172 @p163)) % 128.53/128.99 (step @p174 :rule instantiate :premises (@p79) :args ((@list @t59 @t113))) % 128.53/128.99 (step @p175 :rule cnf_equiv_pos1 :args (@t121)) % 128.53/128.99 (step @p176 :rule reordering :premises (@p175) :args ((or @t117 @t120 (not @t121)))) % 128.53/128.99 (step @p177 :rule cnf_and_pos :args (@t120 0)) % 128.53/128.99 (step @p178 :rule reordering :premises (@p177) :args ((or @t62 @t122))) % 128.53/128.99 (step @p179 :rule cnf_and_pos :args (@t120 1)) % 128.53/128.99 (step @p180 :rule reordering :premises (@p179) :args ((or @t119 @t122))) % 128.53/128.99 (step @p181 :rule cnf_and_neg :args (@t63)) % 128.53/128.99 (step @p182 :rule bool-double-not-elim :args (@t85)) % 128.53/128.99 (step @p183 :rule refl :args (@t60)) % 128.53/128.99 (step @p184 :rule refl :args (@t123)) % 128.53/128.99 (step @p185 :rule nary_cong :premises (@p184 @p183 @p182) :args ((or @t123 @t60 @t124))) % 128.53/128.99 (step @p186 :rule cnf_equiv_pos2 :args (@t99)) % 128.53/128.99 (step @p187 :rule eq_resolve :premises (@p186 @p185)) % 128.53/128.99 (step @p188 :rule reordering :premises (@p187) :args ((or @t60 @t85 @t123))) % 128.53/128.99 (assume-push @p251 @t85) % 128.53/128.99 (step @p190 :rule instantiate :premises (@p251) :args ((@list @t113))) % 128.53/128.99 (step-pop @p252 :rule scope :premises (@p190)) % 128.53/128.99 (step @p191 :rule process_scope :premises (@p252) :args ((not @t119))) % 128.53/128.99 (step @p193 :rule implies_elim :premises (@p191)) % 128.53/128.99 (step @p194 :rule chain_m_resolution :premises (@p193 @p188 @p124 @p181 @p180 @p178 @p176 @p174 @p173 @p160 @p158 @p127 @p126) :args (@t112 (@list false false true false false false false false true false true true) (@list @t85 @t99 @t60 @t119 @t62 @t120 @t121 @t115 @t107 @t110 @t63 @t67))) % 128.53/128.99 (step @p195 :rule cnf_equiv_neg1 :args (@t67)) % 128.53/128.99 (step @p196 :rule reordering :premises (@p195) :args ((or @t66 @t63 @t67))) % 128.53/128.99 (step @p197 :rule chain_m_resolution :premises (@p196 @p194 @p126) :args (@t63 (@list true true) (@list @t66 @t67))) % 128.53/128.99 (step @p198 :rule cnf_and_pos :args (@t63 1)) % 128.53/128.99 (step @p199 :rule reordering :premises (@p198) :args ((or @t60 @t125))) % 128.53/128.99 (step @p200 :rule chain_m_resolution :premises (@p199 @p197) :args (@t60 @t82 @t126)) % 128.53/128.99 (step @p201 :rule cnf_equiv_pos1 :args (@t99)) % 128.53/128.99 (step @p202 :rule reordering :premises (@p201) :args ((or (not @t60) @t96 @t123))) % 128.53/128.99 (step @p203 :rule chain_m_resolution :premises (@p202 @p200 @p124) :args (@t96 @t75 (@list @t60 @t99))) % 128.53/128.99 (step @p204 :rule refl :args (@t128)) % 128.53/128.99 (step @p205 :rule nary_cong :premises (@p182 @p204) :args ((or @t124 @t128))) % 128.53/128.99 (step @p206 :rule bool-double-not-elim :args (@t128)) % 128.53/128.99 (step @p207 :rule refl :args (@t96)) % 128.53/128.99 (step @p208 :rule cong :premises (@p207 @p206) :args ((=> @t96 @t130))) % 128.53/128.99 (assume-push @p253 @t96) % 128.53/128.99 (step @p210 :rule skolemize :premises (@p253)) % 128.53/128.99 (step-pop @p254 :rule scope :premises (@p210)) % 128.53/128.99 (step @p211 :rule process_scope :premises (@p254) :args (@t130)) % 128.53/128.99 (step @p213 :rule eq_resolve :premises (@p211 @p208)) % 128.53/128.99 (step @p214 :rule implies_elim :premises (@p213)) % 128.53/128.99 (step @p215 :rule eq_resolve :premises (@p214 @p205)) % 128.53/128.99 (step @p216 :rule chain_m_resolution :premises (@p215 @p203) :args (@t128 @t70 (@list @t85))) % 128.53/128.99 (step @p217 :rule cnf_and_pos :args (@t63 0)) % 128.53/128.99 (step @p218 :rule reordering :premises (@p217) :args ((or @t62 @t125))) % 128.53/128.99 (step @p219 :rule chain_m_resolution :premises (@p218 @p197) :args (@t62 @t82 @t126)) % 128.53/128.99 (step @p220 :rule cnf_and_neg :args (@t131)) % 128.53/128.99 (step @p221 :rule reordering :premises (@p220) :args ((or (not @t62) @t129 @t131))) % 128.53/128.99 (step @p222 :rule chain_m_resolution :premises (@p221 @p219 @p216) :args (@t131 @t75 (@list @t62 @t128))) % 128.53/128.99 (step @p223 :rule refl :args (@t66)) % 128.53/128.99 (step @p224 :rule refl :args (@t111)) % 128.53/128.99 (step @p225 :rule nary_cong :premises (@p224 @p223 @p162) :args ((or @t111 @t66 @t116))) % 128.53/128.99 (step @p226 :rule cnf_equiv_pos2 :args (@t110)) % 128.53/128.99 (step @p227 :rule eq_resolve :premises (@p226 @p225)) % 128.53/128.99 (step @p228 :rule reordering :premises (@p227) :args ((or @t66 @t107 @t111))) % 128.53/128.99 (step @p229 :rule chain_m_resolution :premises (@p228 @p194 @p158) :args (@t107 (@list true false) (@list @t66 @t110))) % 128.53/128.99 (assume-push @p255 @t107) % 128.53/128.99 (step @p231 :rule instantiate :premises (@p255) :args ((@list @t86))) % 128.53/128.99 (step-pop @p256 :rule scope :premises (@p231)) % 128.53/128.99 (step @p232 :rule process_scope :premises (@p256) :args (@t133)) % 128.53/128.99 (step @p234 :rule implies_elim :premises (@p232)) % 128.53/128.99 (step @p235 :rule chain_m_resolution :premises (@p234 @p229) :args (@t133 @t82 (@list @t107))) % 128.53/128.99 (step @p236 :rule cnf_equiv_pos2 :args (@t134)) % 128.53/128.99 (step @p237 :rule reordering :premises (@p236) :args ((or @t132 (not @t131) (not @t134)))) % 128.53/128.99 (step @p238 false :rule chain_m_resolution :premises (@p237 @p235 @p222 @p80) :args (false (@list true false false) (@list @t132 @t131 @t134))) % 128.53/128.99 ) % 128.53/128.99 % SZS output end Proof % 128.53/128.99 % cvc5 exiting %------------------------------------------------------------------------------