%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU598^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:52:21 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU598^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:42:56 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.38/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.binintersectRsub Bool) % 0.38/0.58 (declare-const tptp.setextsub Bool) % 0.38/0.58 (declare-const tptp.binintersectI Bool) % 0.38/0.58 (declare-const tptp.subsetI1 Bool) % 0.38/0.58 (declare-const tptp.subsetE Bool) % 0.38/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "A" $$unsorted)) % 0.38/0.58 (define @t3 () (_ (_ tptp.subset @t2) @t1)) % 0.38/0.58 (define @t4 () (@var "Xx" $$unsorted)) % 0.38/0.58 (define @t5 () (_ tptp.in @t4)) % 0.38/0.58 (define @t6 () (_ @t5 @t1)) % 0.38/0.58 (define @t7 () (_ @t5 @t2)) % 0.38/0.58 (define @t8 () (=> @t7 @t6)) % 0.38/0.58 (define @t9 () (@list @t4)) % 0.38/0.58 (define @t10 () (forall @t9 @t8)) % 0.38/0.58 (define @t11 () (=> @t10 @t3)) % 0.38/0.58 (define @t12 () (@list @t2 @t1)) % 0.38/0.58 (define @t13 () (forall @t12 @t11)) % 0.38/0.58 (define @t14 () (= tptp.subsetI1 @t13)) % 0.38/0.58 (define @t15 () (@list @t2 @t1 @t4)) % 0.38/0.58 (define @t16 () (forall @t15 (=> @t3 @t8))) % 0.38/0.58 (define @t17 () (= tptp.subsetE @t16)) % 0.38/0.58 (define @t18 () (= @t2 @t1)) % 0.38/0.58 (define @t19 () (_ (_ tptp.subset @t1) @t2)) % 0.38/0.58 (define @t20 () (=> @t19 @t18)) % 0.38/0.58 (define @t21 () (forall @t12 (=> @t3 @t20))) % 0.38/0.58 (define @t22 () (= tptp.setextsub @t21)) % 0.38/0.58 (define @t23 () (_ (_ tptp.binintersect @t2) @t1)) % 0.38/0.58 (define @t24 () (_ @t5 @t23)) % 0.38/0.58 (define @t25 () (=> @t6 @t24)) % 0.38/0.58 (define @t26 () (forall @t15 (=> @t7 @t25))) % 0.38/0.58 (define @t27 () (= tptp.binintersectI @t26)) % 0.38/0.58 (define @t28 () (_ (_ tptp.subset @t23) @t1)) % 0.38/0.58 (define @t29 () (forall @t12 @t28)) % 0.38/0.58 (define @t30 () (= tptp.binintersectRsub @t29)) % 0.38/0.58 (define @t31 () (=> @t19 (= @t23 @t1))) % 0.38/0.58 (define @t32 () (forall @t12 @t31)) % 0.38/0.58 (define @t33 () (=> tptp.binintersectRsub @t32)) % 0.38/0.58 (define @t34 () (=> tptp.binintersectI @t33)) % 0.38/0.58 (define @t35 () (=> tptp.setextsub @t34)) % 0.38/0.58 (define @t36 () (=> tptp.subsetE @t35)) % 0.38/0.58 (define @t37 () (=> tptp.subsetI1 @t36)) % 0.38/0.58 (define @t38 () (not @t37)) % 0.38/0.58 (define @t39 () (tptp.binintersect @t2 @t1)) % 0.38/0.58 (define @t40 () (tptp.subset @t1 @t2)) % 0.38/0.58 (define @t41 () (not @t40)) % 0.38/0.58 (define @t42 () (forall @t12 (or @t41 (= @t1 @t39)))) % 0.38/0.58 (define @t43 () (tptp.subset @t39 @t1)) % 0.38/0.58 (define @t44 () (=> tptp.binintersectRsub @t42)) % 0.38/0.58 (define @t45 () (tptp.in @t4 @t39)) % 0.38/0.58 (define @t46 () (tptp.in @t4 @t1)) % 0.38/0.58 (define @t47 () (not @t6)) % 0.38/0.58 (define @t48 () (tptp.in @t4 @t2)) % 0.38/0.58 (define @t49 () (not @t7)) % 0.38/0.58 (define @t50 () (or @t49 @t47 @t24)) % 0.38/0.58 (define @t51 () (=> tptp.binintersectI @t44)) % 0.38/0.58 (define @t52 () (not @t19)) % 0.38/0.58 (define @t53 () (tptp.subset @t2 @t1)) % 0.38/0.58 (define @t54 () (not @t3)) % 0.38/0.58 (define @t55 () (or @t54 @t52 @t18)) % 0.38/0.58 (define @t56 () (=> tptp.setextsub @t51)) % 0.38/0.58 (define @t57 () (or @t54 @t49 @t6)) % 0.38/0.58 (define @t58 () (or @t49 @t6)) % 0.38/0.58 (define @t59 () (=> tptp.subsetE @t56)) % 0.38/0.58 (define @t60 () (not @t48)) % 0.38/0.58 (define @t61 () (forall @t9 (or @t60 @t46))) % 0.38/0.58 (define @t62 () (not @t61)) % 0.38/0.58 (define @t63 () (or @t62 @t3)) % 0.38/0.58 (define @t64 () (=> tptp.subsetI1 @t59)) % 0.38/0.58 (define @t65 () (= @t1 @t23)) % 0.38/0.58 (define @t66 () (or @t52 @t65)) % 0.38/0.58 (define @t67 () (@quantifiers_skolemize @t42 1)) % 0.38/0.58 (define @t68 () (@quantifiers_skolemize @t42 0)) % 0.38/0.58 (define @t69 () (tptp.binintersect @t68 @t67)) % 0.38/0.58 (define @t70 () (forall @t9 (or (not (tptp.in @t4 @t67)) (tptp.in @t4 @t69)))) % 0.38/0.58 (define @t71 () (@quantifiers_skolemize @t70 0)) % 0.38/0.58 (define @t72 () (tptp.subset @t67 @t69)) % 0.38/0.58 (define @t73 () (not @t72)) % 0.38/0.58 (define @t74 () (tptp.subset @t69 @t67)) % 0.38/0.58 (define @t75 () (not @t74)) % 0.38/0.58 (define @t76 () (or @t75 @t73 (= @t69 @t67))) % 0.38/0.58 (define @t77 () (not @t53)) % 0.38/0.58 (define @t78 () (forall @t12 (or @t77 @t41 @t18))) % 0.38/0.58 (define @t79 () (= @t67 @t69)) % 0.38/0.58 (define @t80 () (or @t75 @t73 @t79)) % 0.38/0.58 (define @t81 () (tptp.subset @t67 @t68)) % 0.38/0.58 (define @t82 () (not @t81)) % 0.38/0.58 (define @t83 () (or @t82 @t79)) % 0.38/0.58 (define @t84 () (@list true)) % 0.38/0.58 (define @t85 () (@list @t83)) % 0.38/0.58 (define @t86 () (not @t70)) % 0.38/0.58 (define @t87 () (or @t86 @t72)) % 0.38/0.58 (define @t88 () (@list true false)) % 0.38/0.58 (define @t89 () (tptp.in @t71 @t69)) % 0.38/0.58 (define @t90 () (tptp.in @t71 @t67)) % 0.38/0.58 (define @t91 () (not @t90)) % 0.38/0.58 (define @t92 () (or @t91 @t89)) % 0.38/0.58 (define @t93 () (@list @t92)) % 0.38/0.58 (define @t94 () (tptp.in @t71 @t68)) % 0.38/0.58 (define @t95 () (not @t94)) % 0.38/0.58 (define @t96 () (or @t95 @t91 @t89)) % 0.38/0.58 (define @t97 () (or @t82 @t91 @t94)) % 0.38/0.58 (define @t98 () (not @t97)) % 0.38/0.58 (define @t99 () (forall @t15 (or @t77 @t60 @t46))) % 0.38/0.58 (assume @p1 @t14) % 0.38/0.58 (assume @p2 @t17) % 0.38/0.58 (assume @p3 @t22) % 0.38/0.58 (assume @p4 @t27) % 0.38/0.58 (assume @p5 @t30) % 0.38/0.58 (assume @p6 @t38) % 0.38/0.58 (assume @p7 true) % 0.38/0.58 (step @p8 :rule refl :args (@t42)) % 0.38/0.58 (step @p9 :rule refl :args ((tptp.subset @t23 @t1))) % 0.38/0.58 (step @p10 :rule refl :args (@t1)) % 0.38/0.58 (step @p11 :rule refl :args (@t39)) % 0.38/0.58 (step @p12 :rule cong :premises (@p11 @p10) :args (@t43)) % 0.38/0.58 (step @p13 :rule trans :premises (@p12 @p9)) % 0.38/0.58 (step @p14 :rule refl :args (tptp.subset)) % 0.38/0.58 (step @p15 :rule ho_cong :premises (@p14 @p11)) % 0.38/0.58 (step @p16 :rule ho_cong :premises (@p15 @p10)) % 0.38/0.58 (step @p17 :rule cong :premises (@p16 @p13) :args ((= (_ (_ tptp.subset @t39) @t1) @t43))) % 0.38/0.58 (step @p18 :rule symm :premises (@p17)) % 0.38/0.58 (step @p19 :rule refl :args (@t28)) % 0.38/0.58 (step @p20 :rule eq_resolve :premises (@p19 @p18)) % 0.38/0.58 (step @p21 :rule refl :args (@t23)) % 0.38/0.58 (step @p22 :rule cong :premises (@p21 @p11) :args ((= @t23 @t39))) % 0.38/0.58 (step @p23 :rule symm :premises (@p22)) % 0.38/0.58 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.38/0.58 (step @p25 :rule ho_cong :premises (@p14 @p24)) % 0.38/0.58 (step @p26 :rule ho_cong :premises (@p25 @p10)) % 0.38/0.58 (step @p27 :rule trans :premises (@p26 @p20)) % 0.38/0.58 (step @p28 :rule cong :premises (@p27) :args (@t29)) % 0.38/0.58 (step @p29 :rule refl :args (tptp.binintersectRsub)) % 0.38/0.58 (step @p30 :rule cong :premises (@p29 @p28) :args (@t30)) % 0.38/0.58 (step @p31 :rule eq_resolve :premises (@p5 @p30)) % 0.38/0.58 (step @p32 :rule cong :premises (@p31 @p8) :args (@t44)) % 0.38/0.58 (step @p33 :rule refl :args ((tptp.in @t4 @t23))) % 0.38/0.58 (step @p34 :rule refl :args (@t4)) % 0.38/0.58 (step @p35 :rule cong :premises (@p34 @p11) :args (@t45)) % 0.38/0.58 (step @p36 :rule trans :premises (@p35 @p33)) % 0.38/0.58 (step @p37 :rule refl :args (@t5)) % 0.38/0.58 (step @p38 :rule ho_cong :premises (@p37 @p11)) % 0.38/0.58 (step @p39 :rule cong :premises (@p38 @p36) :args ((= (_ @t5 @t39) @t45))) % 0.38/0.58 (step @p40 :rule symm :premises (@p39)) % 0.38/0.58 (step @p41 :rule refl :args (@t24)) % 0.38/0.58 (step @p42 :rule eq_resolve :premises (@p41 @p40)) % 0.38/0.58 (step @p43 :rule ho_cong :premises (@p37 @p24)) % 0.38/0.58 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.58 (step @p45 :rule refl :args (@t46)) % 0.38/0.58 (step @p46 :rule refl :args (@t6)) % 0.38/0.58 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t6 @t46))) % 0.38/0.58 (step @p48 :rule symm :premises (@p47)) % 0.38/0.58 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.38/0.58 (step @p50 :rule cong :premises (@p49) :args (@t47)) % 0.38/0.58 (step @p51 :rule refl :args (@t48)) % 0.38/0.58 (step @p52 :rule refl :args (@t7)) % 0.38/0.58 (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t7 @t48))) % 0.38/0.58 (step @p54 :rule symm :premises (@p53)) % 0.38/0.58 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.38/0.58 (step @p56 :rule cong :premises (@p55) :args (@t49)) % 0.38/0.58 (step @p57 :rule nary_cong :premises (@p56 @p50 @p44) :args (@t50)) % 0.38/0.58 (step @p58 :rule cong :premises (@p57) :args ((forall @t15 @t50))) % 0.38/0.58 (step @p59 :rule aci_norm :args ((= (or @t49 (or @t47 @t24)) @t50))) % 0.38/0.58 (step @p60 :rule bool-impl-elim :args (@t6 @t24)) % 0.38/0.58 (step @p61 :rule refl :args (@t49)) % 0.38/0.58 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t49 @t25))) % 0.38/0.58 (step @p63 :rule trans :premises (@p62 @p59)) % 0.38/0.58 (step @p64 :rule bool-impl-elim :args (@t7 @t25)) % 0.38/0.58 (step @p65 :rule trans :premises (@p64 @p63)) % 0.38/0.58 (step @p66 :rule cong :premises (@p65) :args (@t26)) % 0.38/0.58 (step @p67 :rule trans :premises (@p66 @p58)) % 0.38/0.58 (step @p68 :rule refl :args (tptp.binintersectI)) % 0.38/0.58 (step @p69 :rule cong :premises (@p68 @p67) :args (@t27)) % 0.38/0.58 (step @p70 :rule eq_resolve :premises (@p4 @p69)) % 0.38/0.58 (step @p71 :rule cong :premises (@p70 @p32) :args (@t51)) % 0.38/0.58 (step @p72 :rule refl :args (@t18)) % 0.38/0.58 (step @p73 :rule refl :args (@t40)) % 0.38/0.58 (step @p74 :rule refl :args (@t19)) % 0.38/0.58 (step @p75 :rule cong :premises (@p74 @p73) :args ((= @t19 @t40))) % 0.38/0.58 (step @p76 :rule symm :premises (@p75)) % 0.38/0.58 (step @p77 :rule eq_resolve :premises (@p74 @p76)) % 0.38/0.58 (step @p78 :rule cong :premises (@p77) :args (@t52)) % 0.38/0.58 (step @p79 :rule refl :args (@t53)) % 0.38/0.58 (step @p80 :rule refl :args (@t3)) % 0.38/0.58 (step @p81 :rule cong :premises (@p80 @p79) :args ((= @t3 @t53))) % 0.38/0.58 (step @p82 :rule symm :premises (@p81)) % 0.38/0.58 (step @p83 :rule eq_resolve :premises (@p80 @p82)) % 0.38/0.58 (step @p84 :rule cong :premises (@p83) :args (@t54)) % 0.38/0.58 (step @p85 :rule nary_cong :premises (@p84 @p78 @p72) :args (@t55)) % 0.38/0.58 (step @p86 :rule cong :premises (@p85) :args ((forall @t12 @t55))) % 0.38/0.58 (step @p87 :rule aci_norm :args ((= (or @t54 (or @t52 @t18)) @t55))) % 0.38/0.58 (step @p88 :rule bool-impl-elim :args (@t19 @t18)) % 0.38/0.58 (step @p89 :rule refl :args (@t54)) % 0.38/0.58 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or @t54 @t20))) % 0.38/0.58 (step @p91 :rule trans :premises (@p90 @p87)) % 0.38/0.58 (step @p92 :rule bool-impl-elim :args (@t3 @t20)) % 0.38/0.58 (step @p93 :rule trans :premises (@p92 @p91)) % 0.38/0.58 (step @p94 :rule cong :premises (@p93) :args (@t21)) % 0.38/0.58 (step @p95 :rule trans :premises (@p94 @p86)) % 0.38/0.58 (step @p96 :rule refl :args (tptp.setextsub)) % 0.38/0.58 (step @p97 :rule cong :premises (@p96 @p95) :args (@t22)) % 0.38/0.58 (step @p98 :rule eq_resolve :premises (@p3 @p97)) % 0.38/0.58 (step @p99 :rule cong :premises (@p98 @p71) :args (@t56)) % 0.38/0.58 (step @p100 :rule nary_cong :premises (@p84 @p56 @p49) :args (@t57)) % 0.38/0.58 (step @p101 :rule cong :premises (@p100) :args ((forall @t15 @t57))) % 0.38/0.58 (step @p102 :rule aci_norm :args ((= (or @t54 @t58) @t57))) % 0.38/0.58 (step @p103 :rule bool-impl-elim :args (@t7 @t6)) % 0.38/0.58 (step @p104 :rule nary_cong :premises (@p89 @p103) :args ((or @t54 @t8))) % 0.38/0.58 (step @p105 :rule trans :premises (@p104 @p102)) % 0.38/0.58 (step @p106 :rule bool-impl-elim :args (@t3 @t8)) % 0.38/0.58 (step @p107 :rule trans :premises (@p106 @p105)) % 0.38/0.58 (step @p108 :rule cong :premises (@p107) :args (@t16)) % 0.38/0.58 (step @p109 :rule trans :premises (@p108 @p101)) % 0.38/0.58 (step @p110 :rule refl :args (tptp.subsetE)) % 0.38/0.58 (step @p111 :rule cong :premises (@p110 @p109) :args (@t17)) % 0.38/0.58 (step @p112 :rule eq_resolve :premises (@p2 @p111)) % 0.38/0.58 (step @p113 :rule cong :premises (@p112 @p99) :args (@t59)) % 0.38/0.58 (step @p114 :rule refl :args (@t62)) % 0.38/0.58 (step @p115 :rule nary_cong :premises (@p114 @p83) :args (@t63)) % 0.38/0.58 (step @p116 :rule cong :premises (@p115) :args ((forall @t12 @t63))) % 0.38/0.58 (step @p117 :rule bool-impl-elim :args (@t61 @t3)) % 0.38/0.58 (step @p118 :rule cong :premises (@p117) :args ((forall @t12 (=> @t61 @t3)))) % 0.38/0.58 (step @p119 :rule trans :premises (@p118 @p116)) % 0.38/0.58 (step @p120 :rule refl :args (@t3)) % 0.38/0.58 (step @p121 :rule nary_cong :premises (@p56 @p49) :args (@t58)) % 0.38/0.58 (step @p122 :rule cong :premises (@p121) :args ((forall @t9 @t58))) % 0.38/0.58 (step @p123 :rule cong :premises (@p103) :args (@t10)) % 0.38/0.58 (step @p124 :rule trans :premises (@p123 @p122)) % 0.38/0.58 (step @p125 :rule cong :premises (@p124 @p120) :args (@t11)) % 0.38/0.58 (step @p126 :rule cong :premises (@p125) :args (@t13)) % 0.38/0.58 (step @p127 :rule trans :premises (@p126 @p119)) % 0.38/0.58 (step @p128 :rule refl :args (tptp.subsetI1)) % 0.38/0.58 (step @p129 :rule cong :premises (@p128 @p127) :args (@t14)) % 0.38/0.58 (step @p130 :rule eq_resolve :premises (@p1 @p129)) % 0.38/0.58 (step @p131 :rule cong :premises (@p130 @p113) :args (@t64)) % 0.38/0.58 (step @p132 :rule cong :premises (@p131) :args ((not @t64))) % 0.38/0.58 (step @p133 :rule cong :premises (@p10 @p24) :args (@t65)) % 0.38/0.58 (step @p134 :rule nary_cong :premises (@p78 @p133) :args (@t66)) % 0.38/0.58 (step @p135 :rule cong :premises (@p134) :args ((forall @t12 @t66))) % 0.38/0.58 (step @p136 :rule bool-impl-elim :args (@t19 @t65)) % 0.38/0.58 (step @p137 :rule cong :premises (@p136) :args ((forall @t12 (=> @t19 @t65)))) % 0.38/0.58 (step @p138 :rule trans :premises (@p137 @p135)) % 0.38/0.58 (step @p139 :rule eq-symm :args (@t23 @t1)) % 0.38/0.58 (step @p140 :rule refl :args (@t19)) % 0.38/0.58 (step @p141 :rule cong :premises (@p140 @p139) :args (@t31)) % 0.38/0.58 (step @p142 :rule cong :premises (@p141) :args (@t32)) % 0.38/0.58 (step @p143 :rule trans :premises (@p142 @p138)) % 0.38/0.58 (step @p144 :rule cong :premises (@p29 @p143) :args (@t33)) % 0.38/0.58 (step @p145 :rule cong :premises (@p68 @p144) :args (@t34)) % 0.38/0.58 (step @p146 :rule cong :premises (@p96 @p145) :args (@t35)) % 0.38/0.58 (step @p147 :rule cong :premises (@p110 @p146) :args (@t36)) % 0.38/0.58 (step @p148 :rule cong :premises (@p128 @p147) :args (@t37)) % 0.38/0.58 (step @p149 :rule cong :premises (@p148) :args (@t38)) % 0.38/0.58 (step @p150 :rule trans :premises (@p149 @p132)) % 0.38/0.58 (step @p151 :rule eq_resolve :premises (@p6 @p150)) % 0.38/0.58 (step @p152 :rule not_implies_elim2 :premises (@p151)) % 0.38/0.58 (step @p153 :rule not_implies_elim1 :premises (@p152)) % 0.38/0.58 (step @p154 :rule not_implies_elim2 :premises (@p152)) % 0.38/0.58 (step @p155 :rule not_implies_elim2 :premises (@p154)) % 0.38/0.58 (step @p156 :rule not_implies_elim1 :premises (@p155)) % 0.38/0.58 (step @p157 :rule instantiate :premises (@p156) :args ((@list @t68 @t67 @t71))) % 0.38/0.58 (step @p158 :rule not_implies_elim1 :premises (@p151)) % 0.38/0.58 (step @p159 :rule instantiate :premises (@p158) :args ((@list @t67 @t69))) % 0.38/0.58 (step @p160 :rule not_implies_elim1 :premises (@p154)) % 0.38/0.58 (step @p161 :rule eq-symm :args (@t69 @t67)) % 0.38/0.58 (step @p162 :rule refl :args (@t73)) % 0.38/0.58 (step @p163 :rule refl :args (@t75)) % 0.38/0.58 (step @p164 :rule nary_cong :premises (@p163 @p162 @p161) :args (@t76)) % 0.38/0.58 (step @p165 :rule refl :args (@t78)) % 0.38/0.58 (step @p166 :rule cong :premises (@p165 @p164) :args ((=> @t78 @t76))) % 0.38/0.58 (assume-push @p216 @t78) % 0.38/0.58 (step @p168 :rule instantiate :premises (@p160) :args ((@list @t69 @t67))) % 0.38/0.58 (step-pop @p217 :rule scope :premises (@p168)) % 0.38/0.58 (step @p169 :rule process_scope :premises (@p217) :args (@t76)) % 0.38/0.58 (step @p171 :rule eq_resolve :premises (@p169 @p166)) % 0.38/0.58 (step @p172 :rule implies_elim :premises (@p171)) % 0.38/0.58 (step @p173 :rule chain_m_resolution :premises (@p172 @p160) :args (@t80 (@list false) (@list @t78))) % 0.38/0.58 (step @p174 :rule not_implies_elim2 :premises (@p155)) % 0.38/0.58 (step @p175 :rule not_implies_elim1 :premises (@p174)) % 0.38/0.58 (step @p176 :rule instantiate :premises (@p175) :args ((@list @t68 @t67))) % 0.38/0.58 (step @p177 :rule not_implies_elim2 :premises (@p174)) % 0.38/0.58 (step @p178 :rule skolemize :premises (@p177)) % 0.38/0.58 (step @p179 :rule cnf_or_neg :args (@t83 1)) % 0.38/0.58 (step @p180 :rule chain_m_resolution :premises (@p179 @p178) :args ((not @t79) @t84 @t85)) % 0.38/0.58 (step @p181 :rule cnf_or_pos :args (@t80)) % 0.38/0.58 (step @p182 :rule reordering :premises (@p181) :args ((or @t79 @t75 @t73 (not @t80)))) % 0.38/0.58 (step @p183 :rule chain_m_resolution :premises (@p182 @p180 @p176 @p173) :args (@t73 (@list true false false) (@list @t79 @t74 @t80))) % 0.38/0.58 (step @p184 :rule cnf_or_pos :args (@t87)) % 0.38/0.58 (step @p185 :rule reordering :premises (@p184) :args ((or @t72 @t86 (not @t87)))) % 0.38/0.58 (step @p186 :rule chain_m_resolution :premises (@p185 @p183 @p159) :args (@t86 @t88 (@list @t72 @t87))) % 0.38/0.58 (step @p187 :rule skolemize :premises (@p186)) % 0.38/0.58 (step @p188 :rule cnf_or_neg :args (@t92 1)) % 0.38/0.58 (step @p189 :rule chain_m_resolution :premises (@p188 @p187) :args ((not @t89) @t84 @t93)) % 0.38/0.58 (step @p190 :rule bool-double-not-elim :args (@t90)) % 0.38/0.58 (step @p191 :rule refl :args (@t92)) % 0.38/0.58 (step @p192 :rule nary_cong :premises (@p191 @p190) :args ((or @t92 (not @t91)))) % 0.38/0.58 (step @p193 :rule cnf_or_neg :args (@t92 0)) % 0.38/0.58 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 0.38/0.58 (step @p195 :rule reordering :premises (@p194) :args ((or @t90 @t92))) % 0.38/0.58 (step @p196 :rule chain_m_resolution :premises (@p195 @p187) :args (@t90 @t84 @t93)) % 0.38/0.58 (step @p197 :rule cnf_or_pos :args (@t96)) % 0.38/0.58 (step @p198 :rule reordering :premises (@p197) :args ((or @t91 @t89 @t95 (not @t96)))) % 0.38/0.58 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p189 @p157) :args (@t95 (@list false true false) (@list @t90 @t89 @t96))) % 0.38/0.58 (step @p200 :rule bool-double-not-elim :args (@t81)) % 0.38/0.58 (step @p201 :rule refl :args (@t83)) % 0.38/0.58 (step @p202 :rule nary_cong :premises (@p201 @p200) :args ((or @t83 (not @t82)))) % 0.38/0.58 (step @p203 :rule cnf_or_neg :args (@t83 0)) % 0.38/0.58 (step @p204 :rule eq_resolve :premises (@p203 @p202)) % 0.38/0.58 (step @p205 :rule reordering :premises (@p204) :args ((or @t81 @t83))) % 0.38/0.58 (step @p206 :rule chain_m_resolution :premises (@p205 @p178) :args (@t81 @t84 @t85)) % 0.38/0.58 (step @p207 :rule cnf_or_pos :args (@t97)) % 0.38/0.58 (step @p208 :rule reordering :premises (@p207) :args ((or @t82 @t91 @t94 @t98))) % 0.38/0.58 (step @p209 :rule chain_m_resolution :premises (@p208 @p206 @p196 @p199) :args (@t98 (@list false false true) (@list @t81 @t90 @t94))) % 0.38/0.58 (assume-push @p218 @t99) % 0.38/0.58 (step @p211 :rule instantiate :premises (@p153) :args ((@list @t67 @t68 @t71))) % 0.38/0.58 (step-pop @p219 :rule scope :premises (@p211)) % 0.38/0.58 (step @p212 :rule process_scope :premises (@p219) :args (@t97)) % 0.38/0.58 (step @p214 :rule implies_elim :premises (@p212)) % 0.38/0.58 (step @p215 false :rule chain_m_resolution :premises (@p214 @p209 @p153) :args (false @t88 (@list @t97 @t99))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------