%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU722^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:52:53 AM UTC 2026 % Result : Theorem 0.40s 0.56s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU722^2 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n021.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 17:50:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.49 %----Proving TH0 % 0.40/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.56 % SZS status Theorem % 0.40/0.56 % SZS output start Proof % 0.40/0.56 ( % 0.40/0.56 (declare-sort $$unsorted 0) % 0.40/0.56 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.40/0.56 (declare-const tptp.binintersectER Bool) % 0.40/0.56 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.40/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.40/0.56 (define @t2 () (@var "Xx" $$unsorted)) % 0.40/0.56 (define @t3 () (_ tptp.in @t2)) % 0.40/0.56 (define @t4 () (_ @t3 @t1)) % 0.40/0.56 (define @t5 () (@var "A" $$unsorted)) % 0.40/0.56 (define @t6 () (_ (_ tptp.binintersect @t5) @t1)) % 0.40/0.56 (define @t7 () (_ @t3 @t6)) % 0.40/0.56 (define @t8 () (@list @t5 @t1 @t2)) % 0.40/0.56 (define @t9 () (forall @t8 (=> @t7 @t4))) % 0.40/0.56 (define @t10 () (= tptp.binintersectER @t9)) % 0.40/0.56 (define @t11 () (@var "Y" $$unsorted)) % 0.40/0.56 (define @t12 () (@var "X" $$unsorted)) % 0.40/0.56 (define @t13 () (_ (_ tptp.binintersect @t12) @t11)) % 0.40/0.56 (define @t14 () (_ @t3 @t13)) % 0.40/0.56 (define @t15 () (not @t14)) % 0.40/0.56 (define @t16 () (_ @t3 @t11)) % 0.40/0.56 (define @t17 () (not @t16)) % 0.40/0.56 (define @t18 () (=> @t17 @t15)) % 0.40/0.56 (define @t19 () (_ @t3 @t5)) % 0.40/0.56 (define @t20 () (@list @t2)) % 0.40/0.56 (define @t21 () (forall @t20 (=> @t19 @t18))) % 0.40/0.56 (define @t22 () (_ tptp.powerset @t5)) % 0.40/0.56 (define @t23 () (_ tptp.in @t11)) % 0.40/0.56 (define @t24 () (_ @t23 @t22)) % 0.40/0.56 (define @t25 () (=> @t24 @t21)) % 0.40/0.56 (define @t26 () (@list @t11)) % 0.40/0.56 (define @t27 () (forall @t26 @t25)) % 0.40/0.56 (define @t28 () (_ tptp.in @t12)) % 0.40/0.56 (define @t29 () (_ @t28 @t22)) % 0.40/0.56 (define @t30 () (=> @t29 @t27)) % 0.40/0.56 (define @t31 () (@list @t5 @t12)) % 0.40/0.56 (define @t32 () (forall @t31 @t30)) % 0.40/0.56 (define @t33 () (=> tptp.binintersectER @t32)) % 0.40/0.56 (define @t34 () (not @t33)) % 0.40/0.56 (define @t35 () (@var "BOUND_VARIABLE_7511" $$unsorted)) % 0.40/0.56 (define @t36 () (@var "BOUND_VARIABLE_7513" $$unsorted)) % 0.40/0.56 (define @t37 () (not (tptp.in @t36 (tptp.binintersect @t12 @t35)))) % 0.40/0.56 (define @t38 () (tptp.in @t36 @t35)) % 0.40/0.56 (define @t39 () (not (tptp.in @t36 @t5))) % 0.40/0.56 (define @t40 () (tptp.powerset @t5)) % 0.40/0.56 (define @t41 () (not (tptp.in @t35 @t40))) % 0.40/0.56 (define @t42 () (tptp.in @t12 @t40)) % 0.40/0.56 (define @t43 () (not @t42)) % 0.40/0.56 (define @t44 () (or @t43 @t41 @t39 @t38 @t37)) % 0.40/0.56 (define @t45 () (@list @t5 @t12 @t35 @t36)) % 0.40/0.56 (define @t46 () (forall @t45 @t44)) % 0.40/0.56 (define @t47 () (tptp.in @t2 @t1)) % 0.40/0.56 (define @t48 () (tptp.binintersect @t5 @t1)) % 0.40/0.56 (define @t49 () (tptp.in @t2 @t48)) % 0.40/0.56 (define @t50 () (not @t7)) % 0.40/0.56 (define @t51 () (or @t50 @t4)) % 0.40/0.56 (define @t52 () (=> tptp.binintersectER @t46)) % 0.40/0.56 (define @t53 () (or @t41 @t39 @t38 @t37)) % 0.40/0.56 (define @t54 () (or @t43 @t53)) % 0.40/0.56 (define @t55 () (forall @t45 @t54)) % 0.40/0.56 (define @t56 () (@list @t35 @t36)) % 0.40/0.56 (define @t57 () (forall @t56 @t54)) % 0.40/0.56 (define @t58 () (forall @t56 @t53)) % 0.40/0.56 (define @t59 () (@var "BOUND_VARIABLE_7488" $$unsorted)) % 0.40/0.56 (define @t60 () (or @t43 @t58)) % 0.40/0.56 (define @t61 () (tptp.binintersect @t12 @t11)) % 0.40/0.56 (define @t62 () (not (tptp.in @t59 @t61))) % 0.40/0.56 (define @t63 () (tptp.in @t59 @t11)) % 0.40/0.56 (define @t64 () (not (tptp.in @t59 @t5))) % 0.40/0.56 (define @t65 () (tptp.in @t11 @t40)) % 0.40/0.56 (define @t66 () (not @t65)) % 0.40/0.56 (define @t67 () (or @t66 @t64 @t63 @t62)) % 0.40/0.56 (define @t68 () (@list @t11 @t59)) % 0.40/0.56 (define @t69 () (forall @t68 @t67)) % 0.40/0.56 (define @t70 () (not @t29)) % 0.40/0.56 (define @t71 () (or @t70 @t69)) % 0.40/0.56 (define @t72 () (or @t64 @t63 @t62)) % 0.40/0.56 (define @t73 () (or @t66 @t72)) % 0.40/0.56 (define @t74 () (forall @t68 @t73)) % 0.40/0.56 (define @t75 () (@list @t59)) % 0.40/0.56 (define @t76 () (forall @t75 @t73)) % 0.40/0.56 (define @t77 () (forall @t75 @t72)) % 0.40/0.56 (define @t78 () (or @t66 @t77)) % 0.40/0.56 (define @t79 () (tptp.in @t2 @t61)) % 0.40/0.56 (define @t80 () (tptp.in @t2 @t11)) % 0.40/0.56 (define @t81 () (tptp.in @t2 @t5)) % 0.40/0.56 (define @t82 () (forall @t20 (or (not @t81) @t80 (not @t79)))) % 0.40/0.56 (define @t83 () (not @t24)) % 0.40/0.56 (define @t84 () (or @t83 @t82)) % 0.40/0.56 (define @t85 () (not @t19)) % 0.40/0.56 (define @t86 () (or @t85 @t16 @t15)) % 0.40/0.56 (define @t87 () (@quantifiers_skolemize @t46 2)) % 0.40/0.56 (define @t88 () (@quantifiers_skolemize @t46 1)) % 0.40/0.56 (define @t89 () (@quantifiers_skolemize @t46 3)) % 0.40/0.56 (define @t90 () (tptp.in @t89 (tptp.binintersect @t88 @t87))) % 0.40/0.56 (define @t91 () (not @t90)) % 0.40/0.56 (define @t92 () (tptp.in @t89 @t87)) % 0.40/0.56 (define @t93 () (@quantifiers_skolemize @t46 0)) % 0.40/0.56 (define @t94 () (tptp.powerset @t93)) % 0.40/0.56 (define @t95 () (or (not (tptp.in @t88 @t94)) (not (tptp.in @t87 @t94)) (not (tptp.in @t89 @t93)) @t92 @t91)) % 0.40/0.56 (define @t96 () (@list true)) % 0.40/0.56 (define @t97 () (@list @t95)) % 0.40/0.56 (define @t98 () (or @t91 @t92)) % 0.40/0.56 (define @t99 () (not @t98)) % 0.40/0.56 (define @t100 () (@list true false)) % 0.40/0.56 (define @t101 () (forall @t8 (or (not @t49) @t47))) % 0.40/0.56 (assume @p1 @t10) % 0.40/0.56 (assume @p2 @t34) % 0.40/0.56 (assume @p3 true) % 0.40/0.56 (step @p4 :rule refl :args (@t46)) % 0.40/0.56 (step @p5 :rule refl :args (@t47)) % 0.40/0.56 (step @p6 :rule refl :args (@t4)) % 0.40/0.56 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t4 @t47))) % 0.40/0.56 (step @p8 :rule symm :premises (@p7)) % 0.40/0.56 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.40/0.56 (step @p10 :rule refl :args ((tptp.in @t2 @t6))) % 0.40/0.56 (step @p11 :rule refl :args (@t48)) % 0.40/0.56 (step @p12 :rule refl :args (@t2)) % 0.40/0.56 (step @p13 :rule cong :premises (@p12 @p11) :args (@t49)) % 0.40/0.56 (step @p14 :rule trans :premises (@p13 @p10)) % 0.40/0.56 (step @p15 :rule refl :args (@t3)) % 0.40/0.56 (step @p16 :rule ho_cong :premises (@p15 @p11)) % 0.40/0.56 (step @p17 :rule cong :premises (@p16 @p14) :args ((= (_ @t3 @t48) @t49))) % 0.40/0.56 (step @p18 :rule symm :premises (@p17)) % 0.40/0.56 (step @p19 :rule refl :args (@t7)) % 0.40/0.56 (step @p20 :rule eq_resolve :premises (@p19 @p18)) % 0.40/0.56 (step @p21 :rule refl :args (@t6)) % 0.40/0.56 (step @p22 :rule cong :premises (@p21 @p11) :args ((= @t6 @t48))) % 0.40/0.56 (step @p23 :rule symm :premises (@p22)) % 0.40/0.56 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.40/0.56 (step @p25 :rule ho_cong :premises (@p15 @p24)) % 0.40/0.56 (step @p26 :rule trans :premises (@p25 @p20)) % 0.40/0.56 (step @p27 :rule cong :premises (@p26) :args (@t50)) % 0.40/0.56 (step @p28 :rule nary_cong :premises (@p27 @p9) :args (@t51)) % 0.40/0.56 (step @p29 :rule cong :premises (@p28) :args ((forall @t8 @t51))) % 0.40/0.56 (step @p30 :rule bool-impl-elim :args (@t7 @t4)) % 0.40/0.56 (step @p31 :rule cong :premises (@p30) :args (@t9)) % 0.40/0.56 (step @p32 :rule trans :premises (@p31 @p29)) % 0.40/0.56 (step @p33 :rule refl :args (tptp.binintersectER)) % 0.40/0.56 (step @p34 :rule cong :premises (@p33 @p32) :args (@t10)) % 0.40/0.56 (step @p35 :rule eq_resolve :premises (@p1 @p34)) % 0.40/0.56 (step @p36 :rule cong :premises (@p35 @p4) :args (@t52)) % 0.40/0.56 (step @p37 :rule cong :premises (@p36) :args ((not @t52))) % 0.40/0.56 (step @p38 :rule aci_norm :args ((= @t54 @t44))) % 0.40/0.56 (step @p39 :rule cong :premises (@p38) :args (@t55)) % 0.40/0.56 (step @p40 :rule quant-merge-prenex :args ((= (forall @t31 @t57) @t55))) % 0.40/0.56 (step @p41 :rule alpha_equiv :args (@t58 (@list @t35 @t36) (@list @t11 @t59))) % 0.40/0.56 (step @p42 :rule refl :args (@t43)) % 0.40/0.56 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t60)) % 0.40/0.56 (step @p44 :rule quant-miniscope-or :args ((= @t57 @t60))) % 0.40/0.56 (step @p45 :rule trans :premises (@p44 @p43)) % 0.40/0.56 (step @p46 :rule symm :premises (@p45)) % 0.40/0.56 (step @p47 :rule cong :premises (@p46) :args ((forall @t31 (or @t43 @t69)))) % 0.40/0.56 (step @p48 :rule trans :premises (@p47 @p40)) % 0.40/0.56 (step @p49 :rule trans :premises (@p48 @p39)) % 0.40/0.56 (step @p50 :rule refl :args (@t69)) % 0.40/0.56 (step @p51 :rule refl :args ((tptp.in @t12 @t22))) % 0.40/0.56 (step @p52 :rule refl :args (@t40)) % 0.40/0.56 (step @p53 :rule refl :args (@t12)) % 0.40/0.56 (step @p54 :rule cong :premises (@p53 @p52) :args (@t42)) % 0.40/0.56 (step @p55 :rule trans :premises (@p54 @p51)) % 0.40/0.56 (step @p56 :rule refl :args (@t28)) % 0.40/0.56 (step @p57 :rule ho_cong :premises (@p56 @p52)) % 0.40/0.56 (step @p58 :rule cong :premises (@p57 @p55) :args ((= (_ @t28 @t40) @t42))) % 0.40/0.56 (step @p59 :rule symm :premises (@p58)) % 0.40/0.56 (step @p60 :rule refl :args (@t29)) % 0.40/0.56 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.40/0.56 (step @p62 :rule refl :args (@t22)) % 0.40/0.56 (step @p63 :rule cong :premises (@p62 @p52) :args ((= @t22 @t40))) % 0.40/0.56 (step @p64 :rule symm :premises (@p63)) % 0.40/0.56 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 0.40/0.56 (step @p66 :rule ho_cong :premises (@p56 @p65)) % 0.40/0.56 (step @p67 :rule trans :premises (@p66 @p61)) % 0.40/0.56 (step @p68 :rule cong :premises (@p67) :args (@t70)) % 0.40/0.56 (step @p69 :rule nary_cong :premises (@p68 @p50) :args (@t71)) % 0.40/0.56 (step @p70 :rule cong :premises (@p69) :args ((forall @t31 @t71))) % 0.40/0.56 (step @p71 :rule trans :premises (@p70 @p49)) % 0.40/0.56 (step @p72 :rule bool-impl-elim :args (@t29 @t69)) % 0.40/0.56 (step @p73 :rule cong :premises (@p72) :args ((forall @t31 (=> @t29 @t69)))) % 0.40/0.56 (step @p74 :rule trans :premises (@p73 @p71)) % 0.40/0.56 (step @p75 :rule aci_norm :args ((= @t73 @t67))) % 0.40/0.56 (step @p76 :rule cong :premises (@p75) :args (@t74)) % 0.40/0.56 (step @p77 :rule quant-merge-prenex :args ((= (forall @t26 @t76) @t74))) % 0.40/0.56 (step @p78 :rule alpha_equiv :args (@t77 (@list @t59) (@list @t2))) % 0.40/0.56 (step @p79 :rule refl :args (@t66)) % 0.40/0.56 (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t78)) % 0.40/0.56 (step @p81 :rule quant-miniscope-or :args ((= @t76 @t78))) % 0.40/0.56 (step @p82 :rule trans :premises (@p81 @p80)) % 0.40/0.56 (step @p83 :rule symm :premises (@p82)) % 0.40/0.56 (step @p84 :rule cong :premises (@p83) :args ((forall @t26 (or @t66 @t82)))) % 0.40/0.56 (step @p85 :rule trans :premises (@p84 @p77)) % 0.40/0.56 (step @p86 :rule trans :premises (@p85 @p76)) % 0.40/0.56 (step @p87 :rule refl :args (@t82)) % 0.40/0.56 (step @p88 :rule refl :args ((tptp.in @t11 @t22))) % 0.40/0.56 (step @p89 :rule refl :args (@t11)) % 0.40/0.56 (step @p90 :rule cong :premises (@p89 @p52) :args (@t65)) % 0.40/0.56 (step @p91 :rule trans :premises (@p90 @p88)) % 0.40/0.56 (step @p92 :rule refl :args (@t23)) % 0.40/0.56 (step @p93 :rule ho_cong :premises (@p92 @p52)) % 0.40/0.56 (step @p94 :rule cong :premises (@p93 @p91) :args ((= (_ @t23 @t40) @t65))) % 0.40/0.56 (step @p95 :rule symm :premises (@p94)) % 0.40/0.56 (step @p96 :rule refl :args (@t24)) % 0.40/0.56 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 0.40/0.56 (step @p98 :rule ho_cong :premises (@p92 @p65)) % 0.40/0.56 (step @p99 :rule trans :premises (@p98 @p97)) % 0.40/0.56 (step @p100 :rule cong :premises (@p99) :args (@t83)) % 0.40/0.56 (step @p101 :rule nary_cong :premises (@p100 @p87) :args (@t84)) % 0.40/0.56 (step @p102 :rule cong :premises (@p101) :args ((forall @t26 @t84))) % 0.40/0.56 (step @p103 :rule trans :premises (@p102 @p86)) % 0.40/0.56 (step @p104 :rule bool-impl-elim :args (@t24 @t82)) % 0.40/0.56 (step @p105 :rule cong :premises (@p104) :args ((forall @t26 (=> @t24 @t82)))) % 0.40/0.56 (step @p106 :rule trans :premises (@p105 @p103)) % 0.40/0.56 (step @p107 :rule refl :args ((tptp.in @t2 @t13))) % 0.40/0.56 (step @p108 :rule refl :args (@t61)) % 0.40/0.56 (step @p109 :rule cong :premises (@p12 @p108) :args (@t79)) % 0.40/0.56 (step @p110 :rule trans :premises (@p109 @p107)) % 0.40/0.56 (step @p111 :rule ho_cong :premises (@p15 @p108)) % 0.40/0.56 (step @p112 :rule cong :premises (@p111 @p110) :args ((= (_ @t3 @t61) @t79))) % 0.40/0.56 (step @p113 :rule symm :premises (@p112)) % 0.40/0.56 (step @p114 :rule refl :args (@t14)) % 0.40/0.56 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.40/0.56 (step @p116 :rule refl :args (@t13)) % 0.40/0.56 (step @p117 :rule cong :premises (@p116 @p108) :args ((= @t13 @t61))) % 0.40/0.56 (step @p118 :rule symm :premises (@p117)) % 0.40/0.56 (step @p119 :rule eq_resolve :premises (@p116 @p118)) % 0.40/0.56 (step @p120 :rule ho_cong :premises (@p15 @p119)) % 0.40/0.56 (step @p121 :rule trans :premises (@p120 @p115)) % 0.40/0.56 (step @p122 :rule cong :premises (@p121) :args (@t15)) % 0.40/0.56 (step @p123 :rule refl :args (@t80)) % 0.40/0.56 (step @p124 :rule refl :args (@t16)) % 0.40/0.56 (step @p125 :rule cong :premises (@p124 @p123) :args ((= @t16 @t80))) % 0.40/0.56 (step @p126 :rule symm :premises (@p125)) % 0.40/0.56 (step @p127 :rule eq_resolve :premises (@p124 @p126)) % 0.40/0.56 (step @p128 :rule refl :args (@t81)) % 0.40/0.56 (step @p129 :rule refl :args (@t19)) % 0.40/0.56 (step @p130 :rule cong :premises (@p129 @p128) :args ((= @t19 @t81))) % 0.40/0.56 (step @p131 :rule symm :premises (@p130)) % 0.40/0.56 (step @p132 :rule eq_resolve :premises (@p129 @p131)) % 0.40/0.56 (step @p133 :rule cong :premises (@p132) :args (@t85)) % 0.40/0.56 (step @p134 :rule nary_cong :premises (@p133 @p127 @p122) :args (@t86)) % 0.40/0.56 (step @p135 :rule cong :premises (@p134) :args ((forall @t20 @t86))) % 0.40/0.56 (step @p136 :rule aci_norm :args ((= (or @t85 (or @t16 @t15)) @t86))) % 0.40/0.56 (step @p137 :rule refl :args (@t15)) % 0.40/0.56 (step @p138 :rule bool-double-not-elim :args (@t16)) % 0.40/0.56 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or (not @t17) @t15))) % 0.40/0.56 (step @p140 :rule bool-impl-elim :args (@t17 @t15)) % 0.40/0.56 (step @p141 :rule trans :premises (@p140 @p139)) % 0.40/0.56 (step @p142 :rule refl :args (@t85)) % 0.40/0.56 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or @t85 @t18))) % 0.40/0.56 (step @p144 :rule trans :premises (@p143 @p136)) % 0.40/0.56 (step @p145 :rule bool-impl-elim :args (@t19 @t18)) % 0.40/0.56 (step @p146 :rule trans :premises (@p145 @p144)) % 0.40/0.56 (step @p147 :rule cong :premises (@p146) :args (@t21)) % 0.40/0.56 (step @p148 :rule trans :premises (@p147 @p135)) % 0.40/0.56 (step @p149 :rule refl :args (@t24)) % 0.40/0.56 (step @p150 :rule cong :premises (@p149 @p148) :args (@t25)) % 0.40/0.56 (step @p151 :rule cong :premises (@p150) :args (@t27)) % 0.40/0.56 (step @p152 :rule trans :premises (@p151 @p106)) % 0.40/0.56 (step @p153 :rule refl :args (@t29)) % 0.40/0.56 (step @p154 :rule cong :premises (@p153 @p152) :args (@t30)) % 0.40/0.56 (step @p155 :rule cong :premises (@p154) :args (@t32)) % 0.40/0.56 (step @p156 :rule trans :premises (@p155 @p74)) % 0.40/0.56 (step @p157 :rule cong :premises (@p33 @p156) :args (@t33)) % 0.40/0.56 (step @p158 :rule cong :premises (@p157) :args (@t34)) % 0.40/0.56 (step @p159 :rule trans :premises (@p158 @p37)) % 0.40/0.56 (step @p160 :rule eq_resolve :premises (@p2 @p159)) % 0.40/0.56 (step @p161 :rule not_implies_elim1 :premises (@p160)) % 0.40/0.56 (step @p162 :rule not_implies_elim2 :premises (@p160)) % 0.40/0.56 (step @p163 :rule skolemize :premises (@p162)) % 0.40/0.56 (step @p164 :rule bool-double-not-elim :args (@t90)) % 0.40/0.56 (step @p165 :rule refl :args (@t95)) % 0.40/0.56 (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((or @t95 (not @t91)))) % 0.40/0.56 (step @p167 :rule cnf_or_neg :args (@t95 4)) % 0.40/0.56 (step @p168 :rule eq_resolve :premises (@p167 @p166)) % 0.40/0.56 (step @p169 :rule reordering :premises (@p168) :args ((or @t90 @t95))) % 0.40/0.56 (step @p170 :rule chain_m_resolution :premises (@p169 @p163) :args (@t90 @t96 @t97)) % 0.40/0.56 (step @p171 :rule cnf_or_neg :args (@t95 3)) % 0.40/0.56 (step @p172 :rule chain_m_resolution :premises (@p171 @p163) :args ((not @t92) @t96 @t97)) % 0.40/0.56 (step @p173 :rule cnf_or_pos :args (@t98)) % 0.40/0.56 (step @p174 :rule reordering :premises (@p173) :args ((or @t92 @t91 @t99))) % 0.40/0.56 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p170) :args (@t99 @t100 (@list @t92 @t90))) % 0.40/0.56 (assume-push @p182 @t101) % 0.40/0.56 (step @p177 :rule instantiate :premises (@p161) :args ((@list @t88 @t87 @t89))) % 0.40/0.56 (step-pop @p183 :rule scope :premises (@p177)) % 0.40/0.56 (step @p178 :rule process_scope :premises (@p183) :args (@t98)) % 0.40/0.56 (step @p180 :rule implies_elim :premises (@p178)) % 0.40/0.56 (step @p181 false :rule chain_m_resolution :premises (@p180 @p175 @p161) :args (false @t100 (@list @t98 @t101))) % 0.40/0.56 ) % 0.40/0.56 % SZS output end Proof % 0.40/0.56 % cvc5 exiting %------------------------------------------------------------------------------