%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU746^2 : 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 : n007.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 08:53:00 AM UTC 2026 % Result : Theorem 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU746^2 : 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 % 0.16/0.34 % Computer : n007.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 17:49:41 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.36/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort $$unsorted 0) % 0.36/0.56 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.36/0.56 (declare-const tptp.binunionE Bool) % 0.36/0.56 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.56 (define @t2 () (@var "Xx" $$unsorted)) % 0.36/0.56 (define @t3 () (_ tptp.in @t2)) % 0.36/0.56 (define @t4 () (_ @t3 @t1)) % 0.36/0.56 (define @t5 () (@var "A" $$unsorted)) % 0.36/0.56 (define @t6 () (_ @t3 @t5)) % 0.36/0.56 (define @t7 () (or @t6 @t4)) % 0.36/0.56 (define @t8 () (_ (_ tptp.binunion @t5) @t1)) % 0.36/0.56 (define @t9 () (_ @t3 @t8)) % 0.36/0.56 (define @t10 () (@list @t5 @t1 @t2)) % 0.36/0.56 (define @t11 () (forall @t10 (=> @t9 @t7))) % 0.36/0.56 (define @t12 () (= tptp.binunionE @t11)) % 0.36/0.56 (define @t13 () (@var "Xphi" Bool)) % 0.36/0.56 (define @t14 () (@var "Y" $$unsorted)) % 0.36/0.56 (define @t15 () (_ @t3 @t14)) % 0.36/0.56 (define @t16 () (=> @t15 @t13)) % 0.36/0.56 (define @t17 () (=> @t16 @t13)) % 0.36/0.56 (define @t18 () (@var "X" $$unsorted)) % 0.36/0.56 (define @t19 () (_ @t3 @t18)) % 0.36/0.56 (define @t20 () (=> @t19 @t13)) % 0.36/0.56 (define @t21 () (=> @t20 @t17)) % 0.36/0.56 (define @t22 () (_ (_ tptp.binunion @t18) @t14)) % 0.36/0.56 (define @t23 () (_ @t3 @t22)) % 0.36/0.56 (define @t24 () (=> @t23 @t21)) % 0.36/0.56 (define @t25 () (@list @t13 @t2)) % 0.36/0.56 (define @t26 () (forall @t25 (=> @t6 @t24))) % 0.36/0.56 (define @t27 () (_ tptp.powerset @t5)) % 0.36/0.56 (define @t28 () (_ tptp.in @t14)) % 0.36/0.56 (define @t29 () (_ @t28 @t27)) % 0.36/0.56 (define @t30 () (=> @t29 @t26)) % 0.36/0.56 (define @t31 () (@list @t14)) % 0.36/0.56 (define @t32 () (forall @t31 @t30)) % 0.36/0.56 (define @t33 () (_ tptp.in @t18)) % 0.36/0.56 (define @t34 () (_ @t33 @t27)) % 0.36/0.56 (define @t35 () (=> @t34 @t32)) % 0.36/0.56 (define @t36 () (@list @t5 @t18)) % 0.36/0.56 (define @t37 () (forall @t36 @t35)) % 0.36/0.56 (define @t38 () (=> tptp.binunionE @t37)) % 0.36/0.56 (define @t39 () (not @t38)) % 0.36/0.56 (define @t40 () (@var "BOUND_VARIABLE_7538" $$unsorted)) % 0.36/0.56 (define @t41 () (@var "BOUND_VARIABLE_7540" $$unsorted)) % 0.36/0.56 (define @t42 () (tptp.in @t41 @t40)) % 0.36/0.56 (define @t43 () (tptp.in @t41 @t18)) % 0.36/0.56 (define @t44 () (not (tptp.in @t41 (tptp.binunion @t18 @t40)))) % 0.36/0.56 (define @t45 () (not (tptp.in @t41 @t5))) % 0.36/0.56 (define @t46 () (tptp.powerset @t5)) % 0.36/0.56 (define @t47 () (not (tptp.in @t40 @t46))) % 0.36/0.56 (define @t48 () (tptp.in @t18 @t46)) % 0.36/0.56 (define @t49 () (not @t48)) % 0.36/0.56 (define @t50 () (or @t49 @t47 @t45 @t44 @t43 @t42)) % 0.36/0.56 (define @t51 () (@list @t5 @t18 @t40 @t41)) % 0.36/0.56 (define @t52 () (forall @t51 @t50)) % 0.36/0.56 (define @t53 () (tptp.in @t2 @t1)) % 0.36/0.56 (define @t54 () (tptp.in @t2 @t5)) % 0.36/0.56 (define @t55 () (tptp.binunion @t5 @t1)) % 0.36/0.56 (define @t56 () (tptp.in @t2 @t55)) % 0.36/0.56 (define @t57 () (not @t9)) % 0.36/0.56 (define @t58 () (or @t57 @t6 @t4)) % 0.36/0.56 (define @t59 () (=> tptp.binunionE @t52)) % 0.36/0.56 (define @t60 () (or @t47 @t45 @t44 @t43 @t42)) % 0.36/0.56 (define @t61 () (or @t49 @t60)) % 0.36/0.56 (define @t62 () (forall @t51 @t61)) % 0.36/0.56 (define @t63 () (@list @t40 @t41)) % 0.36/0.56 (define @t64 () (forall @t63 @t61)) % 0.36/0.56 (define @t65 () (forall @t63 @t60)) % 0.36/0.56 (define @t66 () (@var "BOUND_VARIABLE_7514" $$unsorted)) % 0.36/0.56 (define @t67 () (or @t49 @t65)) % 0.36/0.56 (define @t68 () (tptp.in @t66 @t14)) % 0.36/0.56 (define @t69 () (tptp.in @t66 @t18)) % 0.36/0.56 (define @t70 () (tptp.binunion @t18 @t14)) % 0.36/0.56 (define @t71 () (not (tptp.in @t66 @t70))) % 0.36/0.56 (define @t72 () (not (tptp.in @t66 @t5))) % 0.36/0.56 (define @t73 () (tptp.in @t14 @t46)) % 0.36/0.56 (define @t74 () (not @t73)) % 0.36/0.56 (define @t75 () (or @t74 @t72 @t71 @t69 @t68)) % 0.36/0.56 (define @t76 () (@list @t14 @t66)) % 0.36/0.56 (define @t77 () (forall @t76 @t75)) % 0.36/0.56 (define @t78 () (not @t34)) % 0.36/0.56 (define @t79 () (or @t78 @t77)) % 0.36/0.56 (define @t80 () (or @t72 @t71 @t69 @t68)) % 0.36/0.56 (define @t81 () (or @t74 @t80)) % 0.36/0.56 (define @t82 () (forall @t76 @t81)) % 0.36/0.56 (define @t83 () (@list @t66)) % 0.36/0.56 (define @t84 () (forall @t83 @t81)) % 0.36/0.56 (define @t85 () (forall @t83 @t80)) % 0.36/0.56 (define @t86 () (or @t74 @t85)) % 0.36/0.56 (define @t87 () (tptp.in @t2 @t14)) % 0.36/0.56 (define @t88 () (tptp.in @t2 @t18)) % 0.36/0.56 (define @t89 () (tptp.in @t2 @t70)) % 0.36/0.56 (define @t90 () (not @t89)) % 0.36/0.56 (define @t91 () (not @t54)) % 0.36/0.56 (define @t92 () (@list @t2)) % 0.36/0.56 (define @t93 () (forall @t92 (or @t91 @t90 @t88 @t87))) % 0.36/0.56 (define @t94 () (not @t29)) % 0.36/0.56 (define @t95 () (or @t94 @t93)) % 0.36/0.56 (define @t96 () (not false)) % 0.36/0.56 (define @t97 () (and @t87 @t96)) % 0.36/0.56 (define @t98 () (and @t88 @t96)) % 0.36/0.56 (define @t99 () (or @t91 @t90 @t98 @t97)) % 0.36/0.56 (define @t100 () (or @t91 @t90 @t98 @t97 false)) % 0.36/0.56 (define @t101 () (not @t13)) % 0.36/0.56 (define @t102 () (and @t87 @t101)) % 0.36/0.56 (define @t103 () (and @t88 @t101)) % 0.36/0.56 (define @t104 () (@list @t13)) % 0.36/0.56 (define @t105 () (or @t13 @t91 @t90 @t103 @t102 @t13)) % 0.36/0.56 (define @t106 () (or @t91 @t90 @t103 @t102 @t13)) % 0.36/0.56 (define @t107 () (forall @t104 @t106)) % 0.36/0.56 (define @t108 () (forall @t92 @t107)) % 0.36/0.56 (define @t109 () (forall (@list @t2 @t13) @t106)) % 0.36/0.56 (define @t110 () (and @t15 @t101)) % 0.36/0.56 (define @t111 () (and @t19 @t101)) % 0.36/0.56 (define @t112 () (not @t23)) % 0.36/0.56 (define @t113 () (not @t6)) % 0.36/0.56 (define @t114 () (or @t113 @t112 @t111 @t110 @t13)) % 0.36/0.56 (define @t115 () (or @t112 @t111 @t110 @t13)) % 0.36/0.56 (define @t116 () (or @t111 @t110 @t13)) % 0.36/0.56 (define @t117 () (@quantifiers_skolemize @t52 2)) % 0.36/0.56 (define @t118 () (@quantifiers_skolemize @t52 3)) % 0.36/0.56 (define @t119 () (tptp.in @t118 @t117)) % 0.36/0.56 (define @t120 () (@quantifiers_skolemize @t52 1)) % 0.36/0.56 (define @t121 () (tptp.in @t118 @t120)) % 0.36/0.56 (define @t122 () (tptp.in @t118 (tptp.binunion @t120 @t117))) % 0.36/0.56 (define @t123 () (not @t122)) % 0.36/0.56 (define @t124 () (@quantifiers_skolemize @t52 0)) % 0.36/0.56 (define @t125 () (tptp.powerset @t124)) % 0.36/0.56 (define @t126 () (or (not (tptp.in @t120 @t125)) (not (tptp.in @t117 @t125)) (not (tptp.in @t118 @t124)) @t123 @t121 @t119)) % 0.36/0.56 (define @t127 () (@list true)) % 0.36/0.56 (define @t128 () (@list @t126)) % 0.36/0.56 (define @t129 () (or @t123 @t121 @t119)) % 0.36/0.56 (define @t130 () (not @t129)) % 0.36/0.56 (define @t131 () (forall @t10 (or (not @t56) @t54 @t53))) % 0.36/0.56 (assume @p1 @t12) % 0.36/0.56 (assume @p2 @t39) % 0.36/0.56 (assume @p3 true) % 0.36/0.56 (step @p4 :rule refl :args (@t52)) % 0.36/0.56 (step @p5 :rule refl :args (@t53)) % 0.36/0.56 (step @p6 :rule refl :args (@t4)) % 0.36/0.56 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t4 @t53))) % 0.36/0.56 (step @p8 :rule symm :premises (@p7)) % 0.36/0.56 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.36/0.56 (step @p10 :rule refl :args (@t54)) % 0.36/0.56 (step @p11 :rule refl :args (@t6)) % 0.36/0.56 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t6 @t54))) % 0.36/0.56 (step @p13 :rule symm :premises (@p12)) % 0.36/0.56 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.36/0.56 (step @p15 :rule refl :args ((tptp.in @t2 @t8))) % 0.36/0.56 (step @p16 :rule refl :args (@t55)) % 0.36/0.56 (step @p17 :rule refl :args (@t2)) % 0.36/0.56 (step @p18 :rule cong :premises (@p17 @p16) :args (@t56)) % 0.36/0.56 (step @p19 :rule trans :premises (@p18 @p15)) % 0.36/0.56 (step @p20 :rule refl :args (@t3)) % 0.36/0.56 (step @p21 :rule ho_cong :premises (@p20 @p16)) % 0.36/0.56 (step @p22 :rule cong :premises (@p21 @p19) :args ((= (_ @t3 @t55) @t56))) % 0.36/0.56 (step @p23 :rule symm :premises (@p22)) % 0.36/0.56 (step @p24 :rule refl :args (@t9)) % 0.36/0.56 (step @p25 :rule eq_resolve :premises (@p24 @p23)) % 0.36/0.56 (step @p26 :rule refl :args (@t8)) % 0.36/0.56 (step @p27 :rule cong :premises (@p26 @p16) :args ((= @t8 @t55))) % 0.36/0.56 (step @p28 :rule symm :premises (@p27)) % 0.36/0.56 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.36/0.56 (step @p30 :rule ho_cong :premises (@p20 @p29)) % 0.36/0.56 (step @p31 :rule trans :premises (@p30 @p25)) % 0.36/0.56 (step @p32 :rule cong :premises (@p31) :args (@t57)) % 0.36/0.56 (step @p33 :rule nary_cong :premises (@p32 @p14 @p9) :args (@t58)) % 0.36/0.56 (step @p34 :rule cong :premises (@p33) :args ((forall @t10 @t58))) % 0.36/0.56 (step @p35 :rule aci_norm :args ((= (or @t57 @t7) @t58))) % 0.36/0.56 (step @p36 :rule bool-impl-elim :args (@t9 @t7)) % 0.36/0.56 (step @p37 :rule trans :premises (@p36 @p35)) % 0.36/0.56 (step @p38 :rule cong :premises (@p37) :args (@t11)) % 0.36/0.56 (step @p39 :rule trans :premises (@p38 @p34)) % 0.36/0.56 (step @p40 :rule refl :args (tptp.binunionE)) % 0.36/0.56 (step @p41 :rule cong :premises (@p40 @p39) :args (@t12)) % 0.36/0.56 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 0.36/0.56 (step @p43 :rule cong :premises (@p42 @p4) :args (@t59)) % 0.36/0.56 (step @p44 :rule cong :premises (@p43) :args ((not @t59))) % 0.36/0.56 (step @p45 :rule aci_norm :args ((= @t61 @t50))) % 0.36/0.56 (step @p46 :rule cong :premises (@p45) :args (@t62)) % 0.36/0.56 (step @p47 :rule quant-merge-prenex :args ((= (forall @t36 @t64) @t62))) % 0.36/0.56 (step @p48 :rule alpha_equiv :args (@t65 (@list @t40 @t41) (@list @t14 @t66))) % 0.36/0.56 (step @p49 :rule refl :args (@t49)) % 0.36/0.56 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t67)) % 0.36/0.56 (step @p51 :rule quant-miniscope-or :args ((= @t64 @t67))) % 0.36/0.56 (step @p52 :rule trans :premises (@p51 @p50)) % 0.36/0.56 (step @p53 :rule symm :premises (@p52)) % 0.36/0.56 (step @p54 :rule cong :premises (@p53) :args ((forall @t36 (or @t49 @t77)))) % 0.36/0.56 (step @p55 :rule trans :premises (@p54 @p47)) % 0.36/0.56 (step @p56 :rule trans :premises (@p55 @p46)) % 0.36/0.56 (step @p57 :rule refl :args (@t77)) % 0.36/0.56 (step @p58 :rule refl :args ((tptp.in @t18 @t27))) % 0.36/0.56 (step @p59 :rule refl :args (@t46)) % 0.36/0.56 (step @p60 :rule refl :args (@t18)) % 0.36/0.56 (step @p61 :rule cong :premises (@p60 @p59) :args (@t48)) % 0.36/0.56 (step @p62 :rule trans :premises (@p61 @p58)) % 0.36/0.56 (step @p63 :rule refl :args (@t33)) % 0.36/0.56 (step @p64 :rule ho_cong :premises (@p63 @p59)) % 0.36/0.56 (step @p65 :rule cong :premises (@p64 @p62) :args ((= (_ @t33 @t46) @t48))) % 0.36/0.56 (step @p66 :rule symm :premises (@p65)) % 0.36/0.56 (step @p67 :rule refl :args (@t34)) % 0.36/0.56 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.36/0.56 (step @p69 :rule refl :args (@t27)) % 0.36/0.56 (step @p70 :rule cong :premises (@p69 @p59) :args ((= @t27 @t46))) % 0.36/0.56 (step @p71 :rule symm :premises (@p70)) % 0.36/0.56 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 0.36/0.56 (step @p73 :rule ho_cong :premises (@p63 @p72)) % 0.36/0.56 (step @p74 :rule trans :premises (@p73 @p68)) % 0.36/0.56 (step @p75 :rule cong :premises (@p74) :args (@t78)) % 0.36/0.56 (step @p76 :rule nary_cong :premises (@p75 @p57) :args (@t79)) % 0.36/0.56 (step @p77 :rule cong :premises (@p76) :args ((forall @t36 @t79))) % 0.36/0.56 (step @p78 :rule trans :premises (@p77 @p56)) % 0.36/0.56 (step @p79 :rule bool-impl-elim :args (@t34 @t77)) % 0.36/0.56 (step @p80 :rule cong :premises (@p79) :args ((forall @t36 (=> @t34 @t77)))) % 0.36/0.56 (step @p81 :rule trans :premises (@p80 @p78)) % 0.36/0.56 (step @p82 :rule aci_norm :args ((= @t81 @t75))) % 0.36/0.56 (step @p83 :rule cong :premises (@p82) :args (@t82)) % 0.36/0.56 (step @p84 :rule quant-merge-prenex :args ((= (forall @t31 @t84) @t82))) % 0.36/0.56 (step @p85 :rule alpha_equiv :args (@t85 (@list @t66) (@list @t2))) % 0.36/0.56 (step @p86 :rule refl :args (@t74)) % 0.36/0.56 (step @p87 :rule nary_cong :premises (@p86 @p85) :args (@t86)) % 0.36/0.56 (step @p88 :rule quant-miniscope-or :args ((= @t84 @t86))) % 0.36/0.56 (step @p89 :rule trans :premises (@p88 @p87)) % 0.36/0.56 (step @p90 :rule symm :premises (@p89)) % 0.36/0.56 (step @p91 :rule cong :premises (@p90) :args ((forall @t31 (or @t74 @t93)))) % 0.36/0.56 (step @p92 :rule trans :premises (@p91 @p84)) % 0.36/0.56 (step @p93 :rule trans :premises (@p92 @p83)) % 0.36/0.56 (step @p94 :rule refl :args (@t93)) % 0.36/0.56 (step @p95 :rule refl :args ((tptp.in @t14 @t27))) % 0.36/0.56 (step @p96 :rule refl :args (@t14)) % 0.36/0.56 (step @p97 :rule cong :premises (@p96 @p59) :args (@t73)) % 0.36/0.56 (step @p98 :rule trans :premises (@p97 @p95)) % 0.36/0.56 (step @p99 :rule refl :args (@t28)) % 0.36/0.56 (step @p100 :rule ho_cong :premises (@p99 @p59)) % 0.36/0.56 (step @p101 :rule cong :premises (@p100 @p98) :args ((= (_ @t28 @t46) @t73))) % 0.36/0.56 (step @p102 :rule symm :premises (@p101)) % 0.36/0.56 (step @p103 :rule refl :args (@t29)) % 0.36/0.56 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.36/0.56 (step @p105 :rule ho_cong :premises (@p99 @p72)) % 0.36/0.56 (step @p106 :rule trans :premises (@p105 @p104)) % 0.36/0.56 (step @p107 :rule cong :premises (@p106) :args (@t94)) % 0.36/0.56 (step @p108 :rule nary_cong :premises (@p107 @p94) :args (@t95)) % 0.36/0.56 (step @p109 :rule cong :premises (@p108) :args ((forall @t31 @t95))) % 0.36/0.56 (step @p110 :rule trans :premises (@p109 @p93)) % 0.36/0.56 (step @p111 :rule bool-impl-elim :args (@t29 @t93)) % 0.36/0.56 (step @p112 :rule cong :premises (@p111) :args ((forall @t31 (=> @t29 @t93)))) % 0.36/0.56 (step @p113 :rule trans :premises (@p112 @p110)) % 0.36/0.56 (step @p114 :rule aci_norm :args ((= (and @t87 true) @t87))) % 0.36/0.56 (step @p115 :rule evaluate :args (@t96)) % 0.36/0.56 (step @p116 :rule refl :args (@t87)) % 0.36/0.56 (step @p117 :rule nary_cong :premises (@p116 @p115) :args (@t97)) % 0.36/0.56 (step @p118 :rule trans :premises (@p117 @p114)) % 0.36/0.56 (step @p119 :rule aci_norm :args ((= (and @t88 true) @t88))) % 0.36/0.56 (step @p120 :rule refl :args (@t88)) % 0.36/0.56 (step @p121 :rule nary_cong :premises (@p120 @p115) :args (@t98)) % 0.36/0.56 (step @p122 :rule trans :premises (@p121 @p119)) % 0.36/0.56 (step @p123 :rule refl :args (@t90)) % 0.36/0.56 (step @p124 :rule refl :args (@t91)) % 0.36/0.56 (step @p125 :rule nary_cong :premises (@p124 @p123 @p122 @p118) :args (@t99)) % 0.36/0.56 (step @p126 :rule aci_norm :args ((= @t100 @t99))) % 0.36/0.56 (step @p127 :rule trans :premises (@p126 @p125)) % 0.36/0.56 (step @p128 :rule cong :premises (@p127) :args ((forall @t92 @t100))) % 0.36/0.56 (step @p129 :rule quant-var-elim-eq :args ((= (forall @t104 (or (not (= @t13 false)) @t91 @t90 @t103 @t102 @t13)) @t100))) % 0.36/0.56 (step @p130 :rule refl :args (@t13)) % 0.36/0.56 (step @p131 :rule refl :args (@t102)) % 0.36/0.56 (step @p132 :rule refl :args (@t103)) % 0.36/0.56 (step @p133 :rule refl :args (@t90)) % 0.36/0.56 (step @p134 :rule refl :args (@t91)) % 0.36/0.56 (step @p135 :rule bool-eq-false :args (@t13)) % 0.36/0.56 (step @p136 :rule symm :premises (@p135)) % 0.36/0.56 (step @p137 :rule cong :premises (@p136) :args ((not @t101))) % 0.36/0.56 (step @p138 :rule bool-double-not-elim :args (@t13)) % 0.36/0.56 (step @p139 :rule symm :premises (@p138)) % 0.36/0.56 (step @p140 :rule trans :premises (@p139 @p137)) % 0.36/0.56 (step @p141 :rule nary_cong :premises (@p140 @p134 @p133 @p132 @p131 @p130) :args (@t105)) % 0.36/0.56 (step @p142 :rule aci_norm :args ((= @t106 @t105))) % 0.36/0.56 (step @p143 :rule trans :premises (@p142 @p141)) % 0.36/0.56 (step @p144 :rule cong :premises (@p143) :args (@t107)) % 0.36/0.56 (step @p145 :rule trans :premises (@p144 @p129)) % 0.36/0.56 (step @p146 :rule cong :premises (@p145) :args (@t108)) % 0.36/0.56 (step @p147 :rule quant-merge-prenex :args ((= @t108 @t109))) % 0.36/0.56 (step @p148 :rule symm :premises (@p147)) % 0.36/0.56 (step @p149 :rule quant_var_reordering :args ((= (forall @t25 @t106) @t109))) % 0.36/0.56 (step @p150 :rule trans :premises (@p149 @p148 @p146)) % 0.36/0.56 (step @p151 :rule trans :premises (@p150 @p128)) % 0.36/0.56 (step @p152 :rule refl :args (@t101)) % 0.36/0.56 (step @p153 :rule refl :args (@t87)) % 0.36/0.56 (step @p154 :rule refl :args (@t15)) % 0.36/0.56 (step @p155 :rule cong :premises (@p154 @p153) :args ((= @t15 @t87))) % 0.36/0.56 (step @p156 :rule symm :premises (@p155)) % 0.36/0.56 (step @p157 :rule eq_resolve :premises (@p154 @p156)) % 0.36/0.56 (step @p158 :rule nary_cong :premises (@p157 @p152) :args (@t110)) % 0.36/0.56 (step @p159 :rule refl :args (@t88)) % 0.36/0.56 (step @p160 :rule refl :args (@t19)) % 0.36/0.56 (step @p161 :rule cong :premises (@p160 @p159) :args ((= @t19 @t88))) % 0.36/0.56 (step @p162 :rule symm :premises (@p161)) % 0.36/0.56 (step @p163 :rule eq_resolve :premises (@p160 @p162)) % 0.36/0.56 (step @p164 :rule nary_cong :premises (@p163 @p152) :args (@t111)) % 0.36/0.56 (step @p165 :rule refl :args ((tptp.in @t2 @t22))) % 0.36/0.56 (step @p166 :rule refl :args (@t70)) % 0.36/0.56 (step @p167 :rule cong :premises (@p17 @p166) :args (@t89)) % 0.36/0.56 (step @p168 :rule trans :premises (@p167 @p165)) % 0.36/0.56 (step @p169 :rule ho_cong :premises (@p20 @p166)) % 0.36/0.56 (step @p170 :rule cong :premises (@p169 @p168) :args ((= (_ @t3 @t70) @t89))) % 0.36/0.56 (step @p171 :rule symm :premises (@p170)) % 0.36/0.56 (step @p172 :rule refl :args (@t23)) % 0.36/0.56 (step @p173 :rule eq_resolve :premises (@p172 @p171)) % 0.36/0.56 (step @p174 :rule refl :args (@t22)) % 0.36/0.56 (step @p175 :rule cong :premises (@p174 @p166) :args ((= @t22 @t70))) % 0.36/0.56 (step @p176 :rule symm :premises (@p175)) % 0.36/0.56 (step @p177 :rule eq_resolve :premises (@p174 @p176)) % 0.36/0.56 (step @p178 :rule ho_cong :premises (@p20 @p177)) % 0.36/0.56 (step @p179 :rule trans :premises (@p178 @p173)) % 0.36/0.56 (step @p180 :rule cong :premises (@p179) :args (@t112)) % 0.36/0.56 (step @p181 :rule cong :premises (@p14) :args (@t113)) % 0.36/0.56 (step @p182 :rule nary_cong :premises (@p181 @p180 @p164 @p158 @p130) :args (@t114)) % 0.36/0.56 (step @p183 :rule cong :premises (@p182) :args ((forall @t25 @t114))) % 0.36/0.56 (step @p184 :rule trans :premises (@p183 @p151)) % 0.36/0.56 (step @p185 :rule aci_norm :args ((= (or @t113 @t115) @t114))) % 0.36/0.56 (step @p186 :rule aci_norm :args ((= (or @t112 @t116) @t115))) % 0.36/0.56 (step @p187 :rule aci_norm :args ((= (or @t111 (or @t110 @t13)) @t116))) % 0.36/0.56 (step @p188 :rule bool-implies-de-morgan :args (@t15 @t13)) % 0.36/0.56 (step @p189 :rule nary_cong :premises (@p188 @p130) :args ((or (not @t16) @t13))) % 0.36/0.56 (step @p190 :rule bool-impl-elim :args (@t16 @t13)) % 0.36/0.56 (step @p191 :rule trans :premises (@p190 @p189)) % 0.36/0.56 (step @p192 :rule bool-implies-de-morgan :args (@t19 @t13)) % 0.36/0.56 (step @p193 :rule nary_cong :premises (@p192 @p191) :args ((or (not @t20) @t17))) % 0.36/0.56 (step @p194 :rule trans :premises (@p193 @p187)) % 0.36/0.56 (step @p195 :rule bool-impl-elim :args (@t20 @t17)) % 0.36/0.56 (step @p196 :rule trans :premises (@p195 @p194)) % 0.36/0.56 (step @p197 :rule refl :args (@t112)) % 0.36/0.56 (step @p198 :rule nary_cong :premises (@p197 @p196) :args ((or @t112 @t21))) % 0.36/0.56 (step @p199 :rule trans :premises (@p198 @p186)) % 0.36/0.56 (step @p200 :rule bool-impl-elim :args (@t23 @t21)) % 0.36/0.56 (step @p201 :rule trans :premises (@p200 @p199)) % 0.36/0.56 (step @p202 :rule refl :args (@t113)) % 0.36/0.56 (step @p203 :rule nary_cong :premises (@p202 @p201) :args ((or @t113 @t24))) % 0.36/0.56 (step @p204 :rule trans :premises (@p203 @p185)) % 0.36/0.56 (step @p205 :rule bool-impl-elim :args (@t6 @t24)) % 0.36/0.56 (step @p206 :rule trans :premises (@p205 @p204)) % 0.36/0.56 (step @p207 :rule cong :premises (@p206) :args (@t26)) % 0.36/0.56 (step @p208 :rule trans :premises (@p207 @p184)) % 0.36/0.56 (step @p209 :rule refl :args (@t29)) % 0.36/0.56 (step @p210 :rule cong :premises (@p209 @p208) :args (@t30)) % 0.36/0.56 (step @p211 :rule cong :premises (@p210) :args (@t32)) % 0.36/0.56 (step @p212 :rule trans :premises (@p211 @p113)) % 0.36/0.56 (step @p213 :rule refl :args (@t34)) % 0.36/0.56 (step @p214 :rule cong :premises (@p213 @p212) :args (@t35)) % 0.36/0.56 (step @p215 :rule cong :premises (@p214) :args (@t37)) % 0.36/0.56 (step @p216 :rule trans :premises (@p215 @p81)) % 0.36/0.56 (step @p217 :rule cong :premises (@p40 @p216) :args (@t38)) % 0.36/0.56 (step @p218 :rule cong :premises (@p217) :args (@t39)) % 0.36/0.56 (step @p219 :rule trans :premises (@p218 @p44)) % 0.36/0.56 (step @p220 :rule eq_resolve :premises (@p2 @p219)) % 0.36/0.56 (step @p221 :rule not_implies_elim1 :premises (@p220)) % 0.36/0.56 (step @p222 :rule not_implies_elim2 :premises (@p220)) % 0.36/0.56 (step @p223 :rule skolemize :premises (@p222)) % 0.36/0.56 (step @p224 :rule cnf_or_neg :args (@t126 5)) % 0.36/0.56 (step @p225 :rule chain_m_resolution :premises (@p224 @p223) :args ((not @t119) @t127 @t128)) % 0.36/0.56 (step @p226 :rule cnf_or_neg :args (@t126 4)) % 0.36/0.56 (step @p227 :rule chain_m_resolution :premises (@p226 @p223) :args ((not @t121) @t127 @t128)) % 0.36/0.56 (step @p228 :rule bool-double-not-elim :args (@t122)) % 0.36/0.56 (step @p229 :rule refl :args (@t126)) % 0.36/0.56 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or @t126 (not @t123)))) % 0.36/0.56 (step @p231 :rule cnf_or_neg :args (@t126 3)) % 0.36/0.56 (step @p232 :rule eq_resolve :premises (@p231 @p230)) % 0.36/0.56 (step @p233 :rule reordering :premises (@p232) :args ((or @t122 @t126))) % 0.36/0.56 (step @p234 :rule chain_m_resolution :premises (@p233 @p223) :args (@t122 @t127 @t128)) % 0.36/0.56 (step @p235 :rule cnf_or_pos :args (@t129)) % 0.36/0.56 (step @p236 :rule reordering :premises (@p235) :args ((or @t123 @t121 @t119 @t130))) % 0.36/0.56 (step @p237 :rule chain_m_resolution :premises (@p236 @p234 @p227 @p225) :args (@t130 (@list false true true) (@list @t122 @t121 @t119))) % 0.36/0.56 (assume-push @p244 @t131) % 0.36/0.56 (step @p239 :rule instantiate :premises (@p221) :args ((@list @t120 @t117 @t118))) % 0.36/0.56 (step-pop @p245 :rule scope :premises (@p239)) % 0.36/0.56 (step @p240 :rule process_scope :premises (@p245) :args (@t129)) % 0.36/0.56 (step @p242 :rule implies_elim :premises (@p240)) % 0.36/0.56 (step @p243 false :rule chain_m_resolution :premises (@p242 @p237 @p221) :args (false (@list true false) (@list @t129 @t131))) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------