%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU254+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:51:08 AM UTC 2026 % Result : Theorem 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU254+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.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 16:46:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.function (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.empty_set $$unsorted) % 0.38/0.61 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.61 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.61 (define @t3 () (tptp.in @t1 @t2)) % 0.38/0.61 (define @t4 () (@list @t1 @t2)) % 0.38/0.61 (define @t5 () (tptp.function @t1)) % 0.38/0.61 (define @t6 () (tptp.empty @t1)) % 0.38/0.61 (define @t7 () (@list @t1)) % 0.38/0.61 (define @t8 () (tptp.relation @t1)) % 0.38/0.61 (define @t9 () (and @t8 @t5 (tptp.one_to_one @t1))) % 0.38/0.61 (define @t10 () (and @t8 @t6 @t5)) % 0.38/0.61 (define @t11 () (tptp.unordered_pair @t1 @t2)) % 0.38/0.61 (define @t12 () (tptp.ordered_pair @t1 @t2)) % 0.38/0.61 (define @t13 () (tptp.cartesian_product2 @t2 @t2)) % 0.38/0.61 (define @t14 () (tptp.relation_restriction @t1 @t2)) % 0.38/0.61 (define @t15 () (@list @t2)) % 0.38/0.61 (define @t16 () (tptp.relation @t14)) % 0.38/0.61 (define @t17 () (forall @t4 (=> @t8 @t16))) % 0.38/0.61 (define @t18 () (@var "D" $$unsorted)) % 0.38/0.61 (define @t19 () (tptp.ordered_pair @t2 @t18)) % 0.38/0.61 (define @t20 () (tptp.in @t19 @t1)) % 0.38/0.61 (define @t21 () (@var "C" $$unsorted)) % 0.38/0.61 (define @t22 () (tptp.ordered_pair @t21 @t18)) % 0.38/0.61 (define @t23 () (tptp.in @t22 @t1)) % 0.38/0.61 (define @t24 () (tptp.ordered_pair @t2 @t21)) % 0.38/0.61 (define @t25 () (tptp.in @t24 @t1)) % 0.38/0.61 (define @t26 () (and @t25 @t23)) % 0.38/0.61 (define @t27 () (@list @t2 @t21 @t18)) % 0.38/0.61 (define @t28 () (forall @t27 (=> @t26 @t20))) % 0.38/0.61 (define @t29 () (tptp.transitive @t1)) % 0.38/0.61 (define @t30 () (= @t29 @t28)) % 0.38/0.61 (define @t31 () (=> @t8 @t30)) % 0.38/0.61 (define @t32 () (forall @t7 @t31)) % 0.38/0.61 (define @t33 () (tptp.in @t1 @t21)) % 0.38/0.61 (define @t34 () (= (tptp.in @t1 (tptp.relation_restriction @t21 @t2)) (and @t33 (tptp.in @t1 @t13)))) % 0.38/0.61 (define @t35 () (tptp.relation @t21)) % 0.38/0.61 (define @t36 () (forall (@list @t1 @t2 @t21) (=> @t35 @t34))) % 0.38/0.61 (define @t37 () (tptp.element @t1 @t2)) % 0.38/0.61 (define @t38 () (tptp.transitive (tptp.relation_restriction @t2 @t1))) % 0.38/0.61 (define @t39 () (tptp.transitive @t2)) % 0.38/0.61 (define @t40 () (=> @t39 @t38)) % 0.38/0.61 (define @t41 () (tptp.relation @t2)) % 0.38/0.61 (define @t42 () (forall @t4 (=> @t41 @t40))) % 0.38/0.61 (define @t43 () (not @t42)) % 0.38/0.61 (define @t44 () (tptp.empty @t2)) % 0.38/0.61 (define @t45 () (not @t39)) % 0.38/0.61 (define @t46 () (not @t41)) % 0.38/0.61 (define @t47 () (or @t46 @t45 @t38)) % 0.38/0.61 (define @t48 () (forall @t4 @t47)) % 0.38/0.61 (define @t49 () (@quantifiers_skolemize @t48 0)) % 0.38/0.61 (define @t50 () (@quantifiers_skolemize @t48 1)) % 0.38/0.61 (define @t51 () (tptp.relation_restriction @t50 @t49)) % 0.38/0.61 (define @t52 () (forall @t27 (or (not (tptp.in @t24 @t51)) (not (tptp.in @t22 @t51)) (tptp.in @t19 @t51)))) % 0.38/0.61 (define @t53 () (@quantifiers_skolemize @t52 2)) % 0.38/0.61 (define @t54 () (@quantifiers_skolemize @t52 0)) % 0.38/0.61 (define @t55 () (not @t23)) % 0.38/0.61 (define @t56 () (not @t25)) % 0.38/0.61 (define @t57 () (or @t56 @t55 @t20)) % 0.38/0.61 (define @t58 () (= @t29 (forall @t27 @t57))) % 0.38/0.61 (define @t59 () (tptp.relation @t50)) % 0.38/0.61 (define @t60 () (tptp.transitive @t51)) % 0.38/0.61 (define @t61 () (tptp.transitive @t50)) % 0.38/0.61 (define @t62 () (not @t61)) % 0.38/0.61 (define @t63 () (not @t59)) % 0.38/0.61 (define @t64 () (or @t63 @t62 @t60)) % 0.38/0.61 (define @t65 () (@list true)) % 0.38/0.61 (define @t66 () (@list @t64)) % 0.38/0.61 (define @t67 () (forall @t27 (or (not (tptp.in @t24 @t50)) (not (tptp.in @t22 @t50)) (tptp.in @t19 @t50)))) % 0.38/0.61 (define @t68 () (= @t61 @t67)) % 0.38/0.61 (define @t69 () (or @t63 @t68)) % 0.38/0.61 (define @t70 () (@list false false)) % 0.38/0.61 (define @t71 () (@quantifiers_skolemize @t52 1)) % 0.38/0.61 (define @t72 () (tptp.ordered_pair @t71 @t53)) % 0.38/0.61 (define @t73 () (tptp.cartesian_product2 @t49 @t49)) % 0.38/0.61 (define @t74 () (tptp.in @t72 @t73)) % 0.38/0.61 (define @t75 () (tptp.in @t72 @t50)) % 0.38/0.61 (define @t76 () (and @t75 @t74)) % 0.38/0.61 (define @t77 () (tptp.in @t72 @t51)) % 0.38/0.61 (define @t78 () (= @t77 @t76)) % 0.38/0.61 (define @t79 () (or @t63 @t78)) % 0.38/0.61 (define @t80 () (tptp.relation @t51)) % 0.38/0.61 (define @t81 () (or @t63 @t80)) % 0.38/0.61 (define @t82 () (= @t60 @t52)) % 0.38/0.61 (define @t83 () (not @t80)) % 0.38/0.61 (define @t84 () (or @t83 @t82)) % 0.38/0.61 (define @t85 () (not @t52)) % 0.38/0.61 (define @t86 () (@list true false)) % 0.38/0.61 (define @t87 () (tptp.ordered_pair @t54 @t53)) % 0.38/0.61 (define @t88 () (tptp.in @t87 @t51)) % 0.38/0.61 (define @t89 () (not @t77)) % 0.38/0.61 (define @t90 () (tptp.ordered_pair @t54 @t71)) % 0.38/0.61 (define @t91 () (tptp.in @t90 @t51)) % 0.38/0.61 (define @t92 () (not @t91)) % 0.38/0.61 (define @t93 () (or @t92 @t89 @t88)) % 0.38/0.61 (define @t94 () (@list @t93)) % 0.38/0.61 (define @t95 () (not @t76)) % 0.38/0.61 (define @t96 () (@list false)) % 0.38/0.61 (define @t97 () (@list @t76)) % 0.38/0.61 (define @t98 () (tptp.in @t90 @t73)) % 0.38/0.61 (define @t99 () (tptp.in @t90 @t50)) % 0.38/0.61 (define @t100 () (and @t99 @t98)) % 0.38/0.61 (define @t101 () (= @t91 @t100)) % 0.38/0.61 (define @t102 () (or @t63 @t101)) % 0.38/0.61 (define @t103 () (not @t100)) % 0.38/0.61 (define @t104 () (@list @t100)) % 0.38/0.61 (define @t105 () (tptp.in @t87 @t50)) % 0.38/0.61 (define @t106 () (not @t75)) % 0.38/0.61 (define @t107 () (not @t99)) % 0.38/0.61 (define @t108 () (or @t107 @t106 @t105)) % 0.38/0.61 (define @t109 () (tptp.in @t87 @t73)) % 0.38/0.61 (define @t110 () (and @t105 @t109)) % 0.38/0.61 (define @t111 () (= @t88 @t110)) % 0.38/0.61 (define @t112 () (or @t63 @t111)) % 0.38/0.61 (define @t113 () (not @t110)) % 0.38/0.61 (define @t114 () (tptp.in @t53 @t49)) % 0.38/0.61 (define @t115 () (tptp.in @t54 @t49)) % 0.38/0.61 (define @t116 () (and @t115 @t114)) % 0.38/0.61 (define @t117 () (= @t109 @t116)) % 0.38/0.61 (define @t118 () (not @t116)) % 0.38/0.61 (define @t119 () (tptp.in @t71 @t49)) % 0.38/0.61 (define @t120 () (and @t119 @t114)) % 0.38/0.61 (define @t121 () (= @t74 @t120)) % 0.38/0.61 (define @t122 () (and @t115 @t119)) % 0.38/0.61 (define @t123 () (= @t98 @t122)) % 0.38/0.61 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.38/0.61 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.38/0.61 (assume @p3 (forall @t7 (=> @t10 @t9))) % 0.38/0.61 (assume @p4 (forall @t4 (= @t11 (tptp.unordered_pair @t2 @t1)))) % 0.38/0.61 (assume @p5 (forall @t4 (= (tptp.set_intersection2 @t1 @t2) (tptp.set_intersection2 @t2 @t1)))) % 0.38/0.61 (assume @p6 (forall @t4 (= @t12 (tptp.unordered_pair @t11 (tptp.singleton @t1))))) % 0.38/0.61 (assume @p7 (forall @t7 (=> @t8 (forall @t15 (= @t14 (tptp.set_intersection2 @t1 @t13)))))) % 0.38/0.61 (assume @p8 true) % 0.38/0.61 (assume @p9 @t17) % 0.38/0.61 (assume @p10 (forall @t7 (exists @t15 (tptp.element @t2 @t1)))) % 0.38/0.61 (assume @p11 (tptp.empty tptp.empty_set)) % 0.38/0.61 (assume @p12 (forall @t4 (not (tptp.empty @t12)))) % 0.38/0.61 (assume @p13 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.38/0.61 (assume @p14 @t32) % 0.38/0.61 (assume @p15 (exists @t7 (and @t8 @t5))) % 0.38/0.61 (assume @p16 (exists @t7 @t6)) % 0.38/0.61 (assume @p17 (exists @t7 @t10)) % 0.38/0.61 (assume @p18 (exists @t7 (not @t6))) % 0.38/0.61 (assume @p19 (exists @t7 @t9)) % 0.38/0.61 (assume @p20 (forall (@list @t1 @t2 @t21 @t18) (= (tptp.in @t12 (tptp.cartesian_product2 @t21 @t18)) (and @t33 (tptp.in @t2 @t18))))) % 0.38/0.61 (assume @p21 @t36) % 0.38/0.61 (assume @p22 (forall @t4 (=> @t3 @t37))) % 0.38/0.61 (assume @p23 @t43) % 0.38/0.61 (assume @p24 (forall @t7 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.38/0.61 (assume @p25 (forall @t4 (=> @t37 (or @t44 @t3)))) % 0.38/0.61 (assume @p26 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.38/0.61 (assume @p27 (forall @t4 (not (and @t3 @t44)))) % 0.38/0.61 (assume @p28 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t44)))) % 0.38/0.61 (step @p29 :rule instantiate :premises (@p20) :args ((@list @t54 @t53 @t49 @t49))) % 0.38/0.61 (step @p30 :rule bool-impl-elim :args (@t8 @t58)) % 0.38/0.61 (step @p31 :rule cong :premises (@p30) :args ((forall @t7 (=> @t8 @t58)))) % 0.38/0.61 (step @p32 :rule aci_norm :args ((= (or (or @t56 @t55) @t20) @t57))) % 0.38/0.61 (step @p33 :rule refl :args (@t20)) % 0.38/0.61 (step @p34 :rule bool-and-de-morgan :args (@t25 @t23 true)) % 0.38/0.61 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or (not @t26) @t20))) % 0.38/0.61 (step @p36 :rule trans :premises (@p35 @p32)) % 0.38/0.61 (step @p37 :rule bool-impl-elim :args (@t26 @t20)) % 0.38/0.61 (step @p38 :rule trans :premises (@p37 @p36)) % 0.38/0.61 (step @p39 :rule cong :premises (@p38) :args (@t28)) % 0.38/0.61 (step @p40 :rule refl :args (@t29)) % 0.38/0.61 (step @p41 :rule cong :premises (@p40 @p39) :args (@t30)) % 0.38/0.61 (step @p42 :rule refl :args (@t8)) % 0.38/0.61 (step @p43 :rule cong :premises (@p42 @p41) :args (@t31)) % 0.38/0.61 (step @p44 :rule cong :premises (@p43) :args (@t32)) % 0.38/0.61 (step @p45 :rule trans :premises (@p44 @p31)) % 0.38/0.61 (step @p46 :rule eq_resolve :premises (@p14 @p45)) % 0.38/0.61 (step @p47 :rule instantiate :premises (@p46) :args ((@list @t50))) % 0.38/0.61 (step @p48 :rule aci_norm :args ((= (or @t46 (or @t45 @t38)) @t47))) % 0.38/0.61 (step @p49 :rule bool-impl-elim :args (@t39 @t38)) % 0.38/0.61 (step @p50 :rule refl :args (@t46)) % 0.38/0.61 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t46 @t40))) % 0.38/0.61 (step @p52 :rule trans :premises (@p51 @p48)) % 0.38/0.61 (step @p53 :rule bool-impl-elim :args (@t41 @t40)) % 0.38/0.61 (step @p54 :rule trans :premises (@p53 @p52)) % 0.38/0.61 (step @p55 :rule cong :premises (@p54) :args (@t42)) % 0.38/0.61 (step @p56 :rule cong :premises (@p55) :args (@t43)) % 0.38/0.61 (step @p57 :rule eq_resolve :premises (@p23 @p56)) % 0.38/0.61 (step @p58 :rule skolemize :premises (@p57)) % 0.38/0.61 (step @p59 :rule bool-double-not-elim :args (@t59)) % 0.38/0.61 (step @p60 :rule refl :args (@t64)) % 0.38/0.61 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t64 (not @t63)))) % 0.38/0.61 (step @p62 :rule cnf_or_neg :args (@t64 0)) % 0.38/0.61 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 0.38/0.61 (step @p64 :rule reordering :premises (@p63) :args ((or @t59 @t64))) % 0.38/0.61 (step @p65 :rule chain_m_resolution :premises (@p64 @p58) :args (@t59 @t65 @t66)) % 0.38/0.61 (step @p66 :rule cnf_or_pos :args (@t69)) % 0.38/0.61 (step @p67 :rule reordering :premises (@p66) :args ((or @t63 @t68 (not @t69)))) % 0.38/0.61 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p47) :args (@t68 @t70 (@list @t59 @t69))) % 0.38/0.61 (step @p69 :rule bool-double-not-elim :args (@t61)) % 0.38/0.61 (step @p70 :rule nary_cong :premises (@p60 @p69) :args ((or @t64 (not @t62)))) % 0.38/0.61 (step @p71 :rule cnf_or_neg :args (@t64 1)) % 0.38/0.61 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.38/0.61 (step @p73 :rule reordering :premises (@p72) :args ((or @t61 @t64))) % 0.38/0.61 (step @p74 :rule chain_m_resolution :premises (@p73 @p58) :args (@t61 @t65 @t66)) % 0.38/0.61 (step @p75 :rule cnf_equiv_pos1 :args (@t68)) % 0.38/0.61 (step @p76 :rule reordering :premises (@p75) :args ((or @t62 @t67 (not @t68)))) % 0.38/0.61 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p68) :args (@t67 @t70 (@list @t61 @t68))) % 0.38/0.61 (step @p78 :rule instantiate :premises (@p77) :args ((@list @t54 @t71 @t53))) % 0.38/0.61 (step @p79 :rule bool-impl-elim :args (@t35 @t34)) % 0.38/0.61 (step @p80 :rule cong :premises (@p79) :args (@t36)) % 0.38/0.61 (step @p81 :rule eq_resolve :premises (@p21 @p80)) % 0.38/0.61 (step @p82 :rule instantiate :premises (@p81) :args ((@list @t72 @t49 @t50))) % 0.38/0.61 (step @p83 :rule cnf_or_pos :args (@t79)) % 0.38/0.61 (step @p84 :rule reordering :premises (@p83) :args ((or @t63 @t78 (not @t79)))) % 0.38/0.61 (step @p85 :rule chain_m_resolution :premises (@p84 @p65 @p82) :args (@t78 @t70 (@list @t59 @t79))) % 0.38/0.61 (step @p86 :rule instantiate :premises (@p46) :args ((@list @t51))) % 0.38/0.61 (step @p87 :rule bool-impl-elim :args (@t8 @t16)) % 0.38/0.61 (step @p88 :rule cong :premises (@p87) :args (@t17)) % 0.38/0.61 (step @p89 :rule eq_resolve :premises (@p9 @p88)) % 0.38/0.61 (step @p90 :rule instantiate :premises (@p89) :args ((@list @t50 @t49))) % 0.38/0.61 (step @p91 :rule cnf_or_pos :args (@t81)) % 0.38/0.61 (step @p92 :rule reordering :premises (@p91) :args ((or @t63 @t80 (not @t81)))) % 0.38/0.61 (step @p93 :rule chain_m_resolution :premises (@p92 @p65 @p90) :args (@t80 @t70 (@list @t59 @t81))) % 0.38/0.61 (step @p94 :rule cnf_or_pos :args (@t84)) % 0.38/0.61 (step @p95 :rule reordering :premises (@p94) :args ((or @t83 @t82 (not @t84)))) % 0.38/0.61 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p86) :args (@t82 @t70 (@list @t80 @t84))) % 0.38/0.61 (step @p97 :rule cnf_or_neg :args (@t64 2)) % 0.38/0.61 (step @p98 :rule chain_m_resolution :premises (@p97 @p58) :args ((not @t60) @t65 @t66)) % 0.38/0.61 (step @p99 :rule cnf_equiv_pos2 :args (@t82)) % 0.38/0.61 (step @p100 :rule reordering :premises (@p99) :args ((or @t60 @t85 (not @t82)))) % 0.38/0.61 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p96) :args (@t85 @t86 (@list @t60 @t82))) % 0.38/0.61 (step @p102 :rule skolemize :premises (@p101)) % 0.38/0.61 (step @p103 :rule bool-double-not-elim :args (@t77)) % 0.38/0.61 (step @p104 :rule refl :args (@t93)) % 0.38/0.61 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t93 (not @t89)))) % 0.38/0.61 (step @p106 :rule cnf_or_neg :args (@t93 1)) % 0.38/0.61 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.38/0.61 (step @p108 :rule reordering :premises (@p107) :args ((or @t77 @t93))) % 0.38/0.61 (step @p109 :rule chain_m_resolution :premises (@p108 @p102) :args (@t77 @t65 @t94)) % 0.38/0.61 (step @p110 :rule cnf_equiv_pos1 :args (@t78)) % 0.38/0.61 (step @p111 :rule reordering :premises (@p110) :args ((or @t89 @t76 (not @t78)))) % 0.38/0.61 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p85) :args (@t76 @t70 (@list @t77 @t78))) % 0.38/0.61 (step @p113 :rule cnf_and_pos :args (@t76 0)) % 0.38/0.61 (step @p114 :rule reordering :premises (@p113) :args ((or @t75 @t95))) % 0.38/0.61 (step @p115 :rule chain_m_resolution :premises (@p114 @p112) :args (@t75 @t96 @t97)) % 0.38/0.61 (step @p116 :rule instantiate :premises (@p81) :args ((@list @t90 @t49 @t50))) % 0.38/0.61 (step @p117 :rule cnf_or_pos :args (@t102)) % 0.38/0.61 (step @p118 :rule reordering :premises (@p117) :args ((or @t63 @t101 (not @t102)))) % 0.38/0.61 (step @p119 :rule chain_m_resolution :premises (@p118 @p65 @p116) :args (@t101 @t70 (@list @t59 @t102))) % 0.38/0.61 (step @p120 :rule bool-double-not-elim :args (@t91)) % 0.38/0.61 (step @p121 :rule nary_cong :premises (@p104 @p120) :args ((or @t93 (not @t92)))) % 0.38/0.61 (step @p122 :rule cnf_or_neg :args (@t93 0)) % 0.38/0.61 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.38/0.61 (step @p124 :rule reordering :premises (@p123) :args ((or @t91 @t93))) % 0.38/0.61 (step @p125 :rule chain_m_resolution :premises (@p124 @p102) :args (@t91 @t65 @t94)) % 0.38/0.61 (step @p126 :rule cnf_equiv_pos1 :args (@t101)) % 0.38/0.61 (step @p127 :rule reordering :premises (@p126) :args ((or @t92 @t100 (not @t101)))) % 0.38/0.61 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p119) :args (@t100 @t70 (@list @t91 @t101))) % 0.38/0.61 (step @p129 :rule cnf_and_pos :args (@t100 0)) % 0.38/0.61 (step @p130 :rule reordering :premises (@p129) :args ((or @t99 @t103))) % 0.38/0.61 (step @p131 :rule chain_m_resolution :premises (@p130 @p128) :args (@t99 @t96 @t104)) % 0.38/0.61 (step @p132 :rule cnf_or_pos :args (@t108)) % 0.38/0.61 (step @p133 :rule reordering :premises (@p132) :args ((or @t105 @t107 @t106 (not @t108)))) % 0.38/0.61 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p115 @p78) :args (@t105 (@list false false false) (@list @t99 @t75 @t108))) % 0.38/0.61 (step @p135 :rule instantiate :premises (@p81) :args ((@list @t87 @t49 @t50))) % 0.38/0.61 (step @p136 :rule cnf_or_pos :args (@t112)) % 0.38/0.61 (step @p137 :rule reordering :premises (@p136) :args ((or @t63 @t111 (not @t112)))) % 0.38/0.61 (step @p138 :rule chain_m_resolution :premises (@p137 @p65 @p135) :args (@t111 @t70 (@list @t59 @t112))) % 0.38/0.61 (step @p139 :rule cnf_or_neg :args (@t93 2)) % 0.38/0.61 (step @p140 :rule chain_m_resolution :premises (@p139 @p102) :args ((not @t88) @t65 @t94)) % 0.38/0.61 (step @p141 :rule cnf_equiv_pos2 :args (@t111)) % 0.38/0.61 (step @p142 :rule reordering :premises (@p141) :args ((or @t88 @t113 (not @t111)))) % 0.38/0.61 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p138) :args (@t113 @t86 (@list @t88 @t111))) % 0.38/0.61 (step @p144 :rule cnf_and_neg :args (@t110)) % 0.38/0.61 (step @p145 :rule chain_m_resolution :premises (@p144 @p143 @p134) :args ((not @t109) @t86 (@list @t110 @t105))) % 0.38/0.61 (step @p146 :rule cnf_equiv_pos2 :args (@t117)) % 0.38/0.61 (step @p147 :rule reordering :premises (@p146) :args ((or @t109 @t118 (not @t117)))) % 0.38/0.61 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p29) :args (@t118 @t86 (@list @t109 @t117))) % 0.38/0.61 (step @p149 :rule instantiate :premises (@p20) :args ((@list @t71 @t53 @t49 @t49))) % 0.38/0.61 (step @p150 :rule cnf_and_pos :args (@t76 1)) % 0.38/0.61 (step @p151 :rule reordering :premises (@p150) :args ((or @t74 @t95))) % 0.38/0.61 (step @p152 :rule chain_m_resolution :premises (@p151 @p112) :args (@t74 @t96 @t97)) % 0.38/0.61 (step @p153 :rule cnf_equiv_pos1 :args (@t121)) % 0.38/0.61 (step @p154 :rule reordering :premises (@p153) :args ((or (not @t74) @t120 (not @t121)))) % 0.38/0.61 (step @p155 :rule chain_m_resolution :premises (@p154 @p152 @p149) :args (@t120 @t70 (@list @t74 @t121))) % 0.38/0.61 (step @p156 :rule cnf_and_pos :args (@t120 1)) % 0.38/0.61 (step @p157 :rule reordering :premises (@p156) :args ((or @t114 (not @t120)))) % 0.38/0.61 (step @p158 :rule chain_m_resolution :premises (@p157 @p155) :args (@t114 @t96 (@list @t120))) % 0.38/0.61 (step @p159 :rule instantiate :premises (@p20) :args ((@list @t54 @t71 @t49 @t49))) % 0.38/0.61 (step @p160 :rule cnf_and_pos :args (@t100 1)) % 0.38/0.61 (step @p161 :rule reordering :premises (@p160) :args ((or @t98 @t103))) % 0.38/0.61 (step @p162 :rule chain_m_resolution :premises (@p161 @p128) :args (@t98 @t96 @t104)) % 0.38/0.61 (step @p163 :rule cnf_equiv_pos1 :args (@t123)) % 0.38/0.61 (step @p164 :rule reordering :premises (@p163) :args ((or (not @t98) @t122 (not @t123)))) % 0.38/0.61 (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p159) :args (@t122 @t70 (@list @t98 @t123))) % 0.38/0.61 (step @p166 :rule cnf_and_pos :args (@t122 0)) % 0.38/0.61 (step @p167 :rule reordering :premises (@p166) :args ((or @t115 (not @t122)))) % 0.38/0.61 (step @p168 :rule chain_m_resolution :premises (@p167 @p165) :args (@t115 @t96 (@list @t122))) % 0.38/0.61 (step @p169 :rule cnf_and_neg :args (@t116)) % 0.38/0.61 (step @p170 false :rule chain_m_resolution :premises (@p169 @p168 @p158 @p148) :args (false (@list false false true) (@list @t115 @t114 @t116))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------