%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU717^2 : 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 : n011.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 08:52:52 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU717^2 : 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 % 0.17/0.35 % Computer : n011.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:49:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.37/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.subsetTI Bool) % 0.37/0.59 (declare-const tptp.powersetI1 Bool) % 0.37/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.59 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.59 (define @t2 () (_ tptp.powerset @t1)) % 0.37/0.59 (define @t3 () (@var "B" $$unsorted)) % 0.37/0.59 (define @t4 () (_ tptp.in @t3)) % 0.37/0.59 (define @t5 () (_ @t4 @t2)) % 0.37/0.59 (define @t6 () (_ (_ tptp.subset @t3) @t1)) % 0.37/0.59 (define @t7 () (@list @t1 @t3)) % 0.37/0.59 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.37/0.59 (define @t9 () (= tptp.powersetI1 @t8)) % 0.37/0.59 (define @t10 () (@var "Y" $$unsorted)) % 0.37/0.59 (define @t11 () (@var "X" $$unsorted)) % 0.37/0.59 (define @t12 () (_ (_ tptp.subset @t11) @t10)) % 0.37/0.59 (define @t13 () (@var "Xx" $$unsorted)) % 0.37/0.59 (define @t14 () (_ tptp.in @t13)) % 0.37/0.59 (define @t15 () (_ @t14 @t10)) % 0.37/0.59 (define @t16 () (_ @t14 @t11)) % 0.37/0.59 (define @t17 () (=> @t16 @t15)) % 0.37/0.59 (define @t18 () (_ @t14 @t1)) % 0.37/0.59 (define @t19 () (@list @t13)) % 0.37/0.59 (define @t20 () (forall @t19 (=> @t18 @t17))) % 0.37/0.59 (define @t21 () (=> @t20 @t12)) % 0.37/0.59 (define @t22 () (_ tptp.in @t10)) % 0.37/0.59 (define @t23 () (_ @t22 @t2)) % 0.37/0.59 (define @t24 () (=> @t23 @t21)) % 0.37/0.59 (define @t25 () (@list @t10)) % 0.37/0.59 (define @t26 () (forall @t25 @t24)) % 0.37/0.59 (define @t27 () (_ tptp.in @t11)) % 0.37/0.59 (define @t28 () (_ @t27 @t2)) % 0.37/0.59 (define @t29 () (=> @t28 @t26)) % 0.37/0.59 (define @t30 () (@list @t1 @t11)) % 0.37/0.59 (define @t31 () (forall @t30 @t29)) % 0.37/0.59 (define @t32 () (= tptp.subsetTI @t31)) % 0.37/0.59 (define @t33 () (_ tptp.powerset @t10)) % 0.37/0.59 (define @t34 () (_ @t27 @t33)) % 0.37/0.59 (define @t35 () (=> @t20 @t34)) % 0.37/0.59 (define @t36 () (=> @t23 @t35)) % 0.37/0.59 (define @t37 () (forall @t25 @t36)) % 0.37/0.59 (define @t38 () (=> @t28 @t37)) % 0.37/0.59 (define @t39 () (forall @t30 @t38)) % 0.37/0.59 (define @t40 () (=> tptp.subsetTI @t39)) % 0.37/0.59 (define @t41 () (=> tptp.powersetI1 @t40)) % 0.37/0.59 (define @t42 () (not @t41)) % 0.37/0.59 (define @t43 () (@var "BOUND_VARIABLE_7542" $$unsorted)) % 0.37/0.59 (define @t44 () (tptp.in @t11 (tptp.powerset @t43))) % 0.37/0.59 (define @t45 () (tptp.in @t13 @t11)) % 0.37/0.59 (define @t46 () (not @t45)) % 0.37/0.59 (define @t47 () (tptp.in @t13 @t1)) % 0.37/0.59 (define @t48 () (not @t47)) % 0.37/0.59 (define @t49 () (not (forall @t19 (or @t48 @t46 (tptp.in @t13 @t43))))) % 0.37/0.59 (define @t50 () (tptp.powerset @t1)) % 0.37/0.59 (define @t51 () (not (tptp.in @t43 @t50))) % 0.37/0.59 (define @t52 () (tptp.in @t11 @t50)) % 0.37/0.59 (define @t53 () (not @t52)) % 0.37/0.59 (define @t54 () (or @t53 @t51 @t49 @t44)) % 0.37/0.59 (define @t55 () (@list @t1 @t11 @t43)) % 0.37/0.59 (define @t56 () (forall @t55 @t54)) % 0.37/0.59 (define @t57 () (@var "BOUND_VARIABLE_7508" $$unsorted)) % 0.37/0.59 (define @t58 () (tptp.subset @t11 @t57)) % 0.37/0.59 (define @t59 () (not (forall @t19 (or @t48 @t46 (tptp.in @t13 @t57))))) % 0.37/0.59 (define @t60 () (not (tptp.in @t57 @t50))) % 0.37/0.59 (define @t61 () (or @t53 @t60 @t59 @t58)) % 0.37/0.59 (define @t62 () (or @t60 @t59 @t58)) % 0.37/0.59 (define @t63 () (or @t53 @t62)) % 0.37/0.59 (define @t64 () (@list @t1 @t11 @t57)) % 0.37/0.59 (define @t65 () (forall @t64 @t63)) % 0.37/0.59 (define @t66 () (@list @t57)) % 0.37/0.59 (define @t67 () (forall @t66 @t63)) % 0.37/0.59 (define @t68 () (forall @t66 @t62)) % 0.37/0.59 (define @t69 () (@list @t10)) % 0.37/0.59 (define @t70 () (or @t53 @t68)) % 0.37/0.59 (define @t71 () (tptp.subset @t11 @t10)) % 0.37/0.59 (define @t72 () (tptp.in @t13 @t10)) % 0.37/0.59 (define @t73 () (forall @t19 (or @t48 @t46 @t72))) % 0.37/0.59 (define @t74 () (not @t73)) % 0.37/0.59 (define @t75 () (tptp.in @t10 @t50)) % 0.37/0.59 (define @t76 () (not @t75)) % 0.37/0.59 (define @t77 () (forall @t25 (or @t76 @t74 @t71))) % 0.37/0.59 (define @t78 () (not @t28)) % 0.37/0.59 (define @t79 () (or @t78 @t77)) % 0.37/0.59 (define @t80 () (not @t23)) % 0.37/0.59 (define @t81 () (or @t80 @t74 @t12)) % 0.37/0.59 (define @t82 () (=> @t73 @t12)) % 0.37/0.59 (define @t83 () (not @t16)) % 0.37/0.59 (define @t84 () (not @t18)) % 0.37/0.59 (define @t85 () (or @t84 @t83 @t15)) % 0.37/0.59 (define @t86 () (=> tptp.subsetTI @t56)) % 0.37/0.59 (define @t87 () (tptp.in @t3 @t50)) % 0.37/0.59 (define @t88 () (tptp.subset @t3 @t1)) % 0.37/0.59 (define @t89 () (not @t6)) % 0.37/0.59 (define @t90 () (or @t89 @t5)) % 0.37/0.59 (define @t91 () (=> tptp.powersetI1 @t86)) % 0.37/0.59 (define @t92 () (or @t51 @t49 @t44)) % 0.37/0.59 (define @t93 () (or @t53 @t92)) % 0.37/0.59 (define @t94 () (forall @t55 @t93)) % 0.37/0.59 (define @t95 () (@list @t43)) % 0.37/0.59 (define @t96 () (forall @t95 @t93)) % 0.37/0.59 (define @t97 () (forall @t95 @t92)) % 0.37/0.59 (define @t98 () (or @t53 @t97)) % 0.37/0.59 (define @t99 () (tptp.powerset @t10)) % 0.37/0.59 (define @t100 () (tptp.in @t11 @t99)) % 0.37/0.59 (define @t101 () (forall @t25 (or @t76 @t74 @t100))) % 0.37/0.59 (define @t102 () (or @t78 @t101)) % 0.37/0.59 (define @t103 () (or @t80 @t74 @t34)) % 0.37/0.59 (define @t104 () (=> @t73 @t34)) % 0.37/0.59 (define @t105 () (@quantifiers_skolemize @t56 1)) % 0.37/0.59 (define @t106 () (@quantifiers_skolemize @t56 2)) % 0.37/0.59 (define @t107 () (tptp.in @t105 (tptp.powerset @t106))) % 0.37/0.59 (define @t108 () (@quantifiers_skolemize @t56 0)) % 0.37/0.59 (define @t109 () (forall @t19 (or (not (tptp.in @t13 @t108)) (not (tptp.in @t13 @t105)) (tptp.in @t13 @t106)))) % 0.37/0.59 (define @t110 () (not @t109)) % 0.37/0.59 (define @t111 () (tptp.powerset @t108)) % 0.37/0.59 (define @t112 () (tptp.in @t106 @t111)) % 0.37/0.59 (define @t113 () (not @t112)) % 0.37/0.59 (define @t114 () (tptp.in @t105 @t111)) % 0.37/0.59 (define @t115 () (not @t114)) % 0.37/0.59 (define @t116 () (or @t115 @t113 @t110 @t107)) % 0.37/0.59 (define @t117 () (@list true)) % 0.37/0.59 (define @t118 () (@list @t116)) % 0.37/0.59 (define @t119 () (tptp.subset @t105 @t106)) % 0.37/0.59 (define @t120 () (not @t119)) % 0.37/0.59 (define @t121 () (or @t120 @t107)) % 0.37/0.59 (define @t122 () (@list true false)) % 0.37/0.59 (define @t123 () (or @t115 @t113 @t110 @t119)) % 0.37/0.59 (define @t124 () (not @t123)) % 0.37/0.59 (define @t125 () (forall @t64 @t61)) % 0.37/0.59 (assume @p1 @t9) % 0.37/0.59 (assume @p2 @t32) % 0.37/0.59 (assume @p3 @t42) % 0.37/0.59 (assume @p4 true) % 0.37/0.59 (step @p5 :rule refl :args (@t56)) % 0.37/0.59 (step @p6 :rule aci_norm :args ((= @t63 @t61))) % 0.37/0.59 (step @p7 :rule cong :premises (@p6) :args (@t65)) % 0.37/0.59 (step @p8 :rule quant-merge-prenex :args ((= (forall @t30 @t67) @t65))) % 0.37/0.59 (step @p9 :rule alpha_equiv :args (@t68 (@list @t57) @t69)) % 0.37/0.59 (step @p10 :rule refl :args (@t53)) % 0.37/0.59 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t70)) % 0.37/0.59 (step @p12 :rule quant-miniscope-or :args ((= @t67 @t70))) % 0.37/0.59 (step @p13 :rule trans :premises (@p12 @p11)) % 0.37/0.59 (step @p14 :rule symm :premises (@p13)) % 0.37/0.59 (step @p15 :rule cong :premises (@p14) :args ((forall @t30 (or @t53 @t77)))) % 0.37/0.59 (step @p16 :rule trans :premises (@p15 @p8)) % 0.37/0.59 (step @p17 :rule trans :premises (@p16 @p7)) % 0.37/0.59 (step @p18 :rule refl :args (@t77)) % 0.37/0.59 (step @p19 :rule refl :args ((tptp.in @t11 @t2))) % 0.37/0.59 (step @p20 :rule refl :args (@t50)) % 0.37/0.59 (step @p21 :rule refl :args (@t11)) % 0.37/0.59 (step @p22 :rule cong :premises (@p21 @p20) :args (@t52)) % 0.37/0.59 (step @p23 :rule trans :premises (@p22 @p19)) % 0.37/0.59 (step @p24 :rule refl :args (@t27)) % 0.37/0.59 (step @p25 :rule ho_cong :premises (@p24 @p20)) % 0.37/0.59 (step @p26 :rule cong :premises (@p25 @p23) :args ((= (_ @t27 @t50) @t52))) % 0.37/0.59 (step @p27 :rule symm :premises (@p26)) % 0.37/0.59 (step @p28 :rule refl :args (@t28)) % 0.37/0.59 (step @p29 :rule eq_resolve :premises (@p28 @p27)) % 0.37/0.59 (step @p30 :rule refl :args (@t2)) % 0.37/0.59 (step @p31 :rule cong :premises (@p30 @p20) :args ((= @t2 @t50))) % 0.37/0.59 (step @p32 :rule symm :premises (@p31)) % 0.37/0.59 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.37/0.59 (step @p34 :rule ho_cong :premises (@p24 @p33)) % 0.37/0.59 (step @p35 :rule trans :premises (@p34 @p29)) % 0.37/0.59 (step @p36 :rule cong :premises (@p35) :args (@t78)) % 0.37/0.59 (step @p37 :rule nary_cong :premises (@p36 @p18) :args (@t79)) % 0.37/0.59 (step @p38 :rule cong :premises (@p37) :args ((forall @t30 @t79))) % 0.37/0.59 (step @p39 :rule trans :premises (@p38 @p17)) % 0.37/0.59 (step @p40 :rule bool-impl-elim :args (@t28 @t77)) % 0.37/0.59 (step @p41 :rule cong :premises (@p40) :args ((forall @t30 (=> @t28 @t77)))) % 0.37/0.59 (step @p42 :rule trans :premises (@p41 @p39)) % 0.37/0.59 (step @p43 :rule refl :args (@t71)) % 0.37/0.59 (step @p44 :rule refl :args (@t12)) % 0.37/0.59 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t12 @t71))) % 0.37/0.59 (step @p46 :rule symm :premises (@p45)) % 0.37/0.59 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.37/0.59 (step @p48 :rule refl :args (@t74)) % 0.37/0.59 (step @p49 :rule refl :args ((tptp.in @t10 @t2))) % 0.37/0.59 (step @p50 :rule refl :args (@t10)) % 0.37/0.59 (step @p51 :rule cong :premises (@p50 @p20) :args (@t75)) % 0.37/0.59 (step @p52 :rule trans :premises (@p51 @p49)) % 0.37/0.59 (step @p53 :rule refl :args (@t22)) % 0.37/0.59 (step @p54 :rule ho_cong :premises (@p53 @p20)) % 0.37/0.59 (step @p55 :rule cong :premises (@p54 @p52) :args ((= (_ @t22 @t50) @t75))) % 0.37/0.59 (step @p56 :rule symm :premises (@p55)) % 0.37/0.59 (step @p57 :rule refl :args (@t23)) % 0.37/0.59 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.37/0.59 (step @p59 :rule ho_cong :premises (@p53 @p33)) % 0.37/0.59 (step @p60 :rule trans :premises (@p59 @p58)) % 0.37/0.59 (step @p61 :rule cong :premises (@p60) :args (@t80)) % 0.37/0.59 (step @p62 :rule nary_cong :premises (@p61 @p48 @p47) :args (@t81)) % 0.37/0.59 (step @p63 :rule cong :premises (@p62) :args ((forall @t25 @t81))) % 0.37/0.59 (step @p64 :rule aci_norm :args ((= (or @t80 (or @t74 @t12)) @t81))) % 0.37/0.59 (step @p65 :rule bool-impl-elim :args (@t73 @t12)) % 0.37/0.59 (step @p66 :rule refl :args (@t80)) % 0.37/0.59 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t80 @t82))) % 0.37/0.59 (step @p68 :rule trans :premises (@p67 @p64)) % 0.37/0.59 (step @p69 :rule bool-impl-elim :args (@t23 @t82)) % 0.37/0.59 (step @p70 :rule trans :premises (@p69 @p68)) % 0.37/0.59 (step @p71 :rule cong :premises (@p70) :args ((forall @t25 (=> @t23 @t82)))) % 0.37/0.59 (step @p72 :rule trans :premises (@p71 @p63)) % 0.37/0.59 (step @p73 :rule refl :args (@t12)) % 0.37/0.59 (step @p74 :rule refl :args (@t72)) % 0.37/0.59 (step @p75 :rule refl :args (@t15)) % 0.37/0.59 (step @p76 :rule cong :premises (@p75 @p74) :args ((= @t15 @t72))) % 0.37/0.59 (step @p77 :rule symm :premises (@p76)) % 0.37/0.59 (step @p78 :rule eq_resolve :premises (@p75 @p77)) % 0.37/0.59 (step @p79 :rule refl :args (@t45)) % 0.37/0.59 (step @p80 :rule refl :args (@t16)) % 0.37/0.59 (step @p81 :rule cong :premises (@p80 @p79) :args ((= @t16 @t45))) % 0.37/0.59 (step @p82 :rule symm :premises (@p81)) % 0.37/0.59 (step @p83 :rule eq_resolve :premises (@p80 @p82)) % 0.37/0.59 (step @p84 :rule cong :premises (@p83) :args (@t83)) % 0.37/0.59 (step @p85 :rule refl :args (@t47)) % 0.37/0.59 (step @p86 :rule refl :args (@t18)) % 0.37/0.59 (step @p87 :rule cong :premises (@p86 @p85) :args ((= @t18 @t47))) % 0.37/0.59 (step @p88 :rule symm :premises (@p87)) % 0.37/0.59 (step @p89 :rule eq_resolve :premises (@p86 @p88)) % 0.37/0.59 (step @p90 :rule cong :premises (@p89) :args (@t84)) % 0.37/0.59 (step @p91 :rule nary_cong :premises (@p90 @p84 @p78) :args (@t85)) % 0.37/0.59 (step @p92 :rule cong :premises (@p91) :args ((forall @t19 @t85))) % 0.37/0.59 (step @p93 :rule aci_norm :args ((= (or @t84 (or @t83 @t15)) @t85))) % 0.37/0.59 (step @p94 :rule bool-impl-elim :args (@t16 @t15)) % 0.37/0.59 (step @p95 :rule refl :args (@t84)) % 0.37/0.59 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t84 @t17))) % 0.37/0.59 (step @p97 :rule trans :premises (@p96 @p93)) % 0.37/0.59 (step @p98 :rule bool-impl-elim :args (@t18 @t17)) % 0.37/0.59 (step @p99 :rule trans :premises (@p98 @p97)) % 0.37/0.59 (step @p100 :rule cong :premises (@p99) :args (@t20)) % 0.37/0.59 (step @p101 :rule trans :premises (@p100 @p92)) % 0.37/0.59 (step @p102 :rule cong :premises (@p101 @p73) :args (@t21)) % 0.37/0.59 (step @p103 :rule refl :args (@t23)) % 0.37/0.59 (step @p104 :rule cong :premises (@p103 @p102) :args (@t24)) % 0.37/0.59 (step @p105 :rule cong :premises (@p104) :args (@t26)) % 0.37/0.59 (step @p106 :rule trans :premises (@p105 @p72)) % 0.37/0.59 (step @p107 :rule refl :args (@t28)) % 0.37/0.59 (step @p108 :rule cong :premises (@p107 @p106) :args (@t29)) % 0.37/0.59 (step @p109 :rule cong :premises (@p108) :args (@t31)) % 0.37/0.59 (step @p110 :rule trans :premises (@p109 @p42)) % 0.37/0.59 (step @p111 :rule refl :args (tptp.subsetTI)) % 0.37/0.59 (step @p112 :rule cong :premises (@p111 @p110) :args (@t32)) % 0.37/0.59 (step @p113 :rule eq_resolve :premises (@p2 @p112)) % 0.37/0.59 (step @p114 :rule cong :premises (@p113 @p5) :args (@t86)) % 0.37/0.59 (step @p115 :rule refl :args ((tptp.in @t3 @t2))) % 0.37/0.59 (step @p116 :rule refl :args (@t3)) % 0.37/0.59 (step @p117 :rule cong :premises (@p116 @p20) :args (@t87)) % 0.37/0.59 (step @p118 :rule trans :premises (@p117 @p115)) % 0.37/0.59 (step @p119 :rule refl :args (@t4)) % 0.37/0.59 (step @p120 :rule ho_cong :premises (@p119 @p20)) % 0.37/0.59 (step @p121 :rule cong :premises (@p120 @p118) :args ((= (_ @t4 @t50) @t87))) % 0.37/0.59 (step @p122 :rule symm :premises (@p121)) % 0.37/0.59 (step @p123 :rule refl :args (@t5)) % 0.37/0.59 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 0.37/0.59 (step @p125 :rule ho_cong :premises (@p119 @p33)) % 0.37/0.59 (step @p126 :rule trans :premises (@p125 @p124)) % 0.37/0.59 (step @p127 :rule refl :args (@t88)) % 0.37/0.59 (step @p128 :rule refl :args (@t6)) % 0.37/0.59 (step @p129 :rule cong :premises (@p128 @p127) :args ((= @t6 @t88))) % 0.37/0.59 (step @p130 :rule symm :premises (@p129)) % 0.37/0.59 (step @p131 :rule eq_resolve :premises (@p128 @p130)) % 0.37/0.59 (step @p132 :rule cong :premises (@p131) :args (@t89)) % 0.37/0.59 (step @p133 :rule nary_cong :premises (@p132 @p126) :args (@t90)) % 0.37/0.59 (step @p134 :rule cong :premises (@p133) :args ((forall @t7 @t90))) % 0.37/0.59 (step @p135 :rule bool-impl-elim :args (@t6 @t5)) % 0.37/0.59 (step @p136 :rule cong :premises (@p135) :args (@t8)) % 0.37/0.59 (step @p137 :rule trans :premises (@p136 @p134)) % 0.37/0.59 (step @p138 :rule refl :args (tptp.powersetI1)) % 0.37/0.59 (step @p139 :rule cong :premises (@p138 @p137) :args (@t9)) % 0.37/0.59 (step @p140 :rule eq_resolve :premises (@p1 @p139)) % 0.37/0.59 (step @p141 :rule cong :premises (@p140 @p114) :args (@t91)) % 0.37/0.59 (step @p142 :rule cong :premises (@p141) :args ((not @t91))) % 0.37/0.59 (step @p143 :rule aci_norm :args ((= @t93 @t54))) % 0.37/0.59 (step @p144 :rule cong :premises (@p143) :args (@t94)) % 0.37/0.59 (step @p145 :rule quant-merge-prenex :args ((= (forall @t30 @t96) @t94))) % 0.37/0.59 (step @p146 :rule alpha_equiv :args (@t97 (@list @t43) @t69)) % 0.37/0.59 (step @p147 :rule nary_cong :premises (@p10 @p146) :args (@t98)) % 0.37/0.59 (step @p148 :rule quant-miniscope-or :args ((= @t96 @t98))) % 0.37/0.59 (step @p149 :rule trans :premises (@p148 @p147)) % 0.37/0.59 (step @p150 :rule symm :premises (@p149)) % 0.37/0.59 (step @p151 :rule cong :premises (@p150) :args ((forall @t30 (or @t53 @t101)))) % 0.37/0.59 (step @p152 :rule trans :premises (@p151 @p145)) % 0.37/0.59 (step @p153 :rule trans :premises (@p152 @p144)) % 0.37/0.59 (step @p154 :rule refl :args (@t101)) % 0.37/0.59 (step @p155 :rule nary_cong :premises (@p36 @p154) :args (@t102)) % 0.37/0.59 (step @p156 :rule cong :premises (@p155) :args ((forall @t30 @t102))) % 0.37/0.59 (step @p157 :rule trans :premises (@p156 @p153)) % 0.37/0.59 (step @p158 :rule bool-impl-elim :args (@t28 @t101)) % 0.37/0.59 (step @p159 :rule cong :premises (@p158) :args ((forall @t30 (=> @t28 @t101)))) % 0.37/0.59 (step @p160 :rule trans :premises (@p159 @p157)) % 0.37/0.59 (step @p161 :rule refl :args ((tptp.in @t11 @t33))) % 0.37/0.59 (step @p162 :rule refl :args (@t99)) % 0.37/0.59 (step @p163 :rule cong :premises (@p21 @p162) :args (@t100)) % 0.37/0.59 (step @p164 :rule trans :premises (@p163 @p161)) % 0.37/0.59 (step @p165 :rule ho_cong :premises (@p24 @p162)) % 0.37/0.59 (step @p166 :rule cong :premises (@p165 @p164) :args ((= (_ @t27 @t99) @t100))) % 0.37/0.59 (step @p167 :rule symm :premises (@p166)) % 0.37/0.59 (step @p168 :rule refl :args (@t34)) % 0.37/0.59 (step @p169 :rule eq_resolve :premises (@p168 @p167)) % 0.37/0.59 (step @p170 :rule refl :args (@t33)) % 0.37/0.59 (step @p171 :rule cong :premises (@p170 @p162) :args ((= @t33 @t99))) % 0.37/0.59 (step @p172 :rule symm :premises (@p171)) % 0.37/0.59 (step @p173 :rule eq_resolve :premises (@p170 @p172)) % 0.37/0.59 (step @p174 :rule ho_cong :premises (@p24 @p173)) % 0.37/0.59 (step @p175 :rule trans :premises (@p174 @p169)) % 0.37/0.59 (step @p176 :rule nary_cong :premises (@p61 @p48 @p175) :args (@t103)) % 0.37/0.59 (step @p177 :rule cong :premises (@p176) :args ((forall @t25 @t103))) % 0.37/0.59 (step @p178 :rule aci_norm :args ((= (or @t80 (or @t74 @t34)) @t103))) % 0.37/0.59 (step @p179 :rule bool-impl-elim :args (@t73 @t34)) % 0.37/0.59 (step @p180 :rule nary_cong :premises (@p66 @p179) :args ((or @t80 @t104))) % 0.37/0.59 (step @p181 :rule trans :premises (@p180 @p178)) % 0.37/0.59 (step @p182 :rule bool-impl-elim :args (@t23 @t104)) % 0.37/0.59 (step @p183 :rule trans :premises (@p182 @p181)) % 0.37/0.59 (step @p184 :rule cong :premises (@p183) :args ((forall @t25 (=> @t23 @t104)))) % 0.37/0.59 (step @p185 :rule trans :premises (@p184 @p177)) % 0.37/0.59 (step @p186 :rule refl :args (@t34)) % 0.37/0.59 (step @p187 :rule cong :premises (@p101 @p186) :args (@t35)) % 0.37/0.59 (step @p188 :rule cong :premises (@p103 @p187) :args (@t36)) % 0.37/0.59 (step @p189 :rule cong :premises (@p188) :args (@t37)) % 0.37/0.59 (step @p190 :rule trans :premises (@p189 @p185)) % 0.37/0.59 (step @p191 :rule cong :premises (@p107 @p190) :args (@t38)) % 0.37/0.59 (step @p192 :rule cong :premises (@p191) :args (@t39)) % 0.37/0.59 (step @p193 :rule trans :premises (@p192 @p160)) % 0.37/0.59 (step @p194 :rule cong :premises (@p111 @p193) :args (@t40)) % 0.37/0.59 (step @p195 :rule cong :premises (@p138 @p194) :args (@t41)) % 0.37/0.59 (step @p196 :rule cong :premises (@p195) :args (@t42)) % 0.37/0.59 (step @p197 :rule trans :premises (@p196 @p142)) % 0.37/0.59 (step @p198 :rule eq_resolve :premises (@p3 @p197)) % 0.37/0.59 (step @p199 :rule not_implies_elim2 :premises (@p198)) % 0.37/0.59 (step @p200 :rule not_implies_elim1 :premises (@p199)) % 0.37/0.59 (step @p201 :rule not_implies_elim1 :premises (@p198)) % 0.37/0.59 (step @p202 :rule instantiate :premises (@p201) :args ((@list @t106 @t105))) % 0.37/0.59 (step @p203 :rule not_implies_elim2 :premises (@p199)) % 0.37/0.59 (step @p204 :rule skolemize :premises (@p203)) % 0.37/0.59 (step @p205 :rule cnf_or_neg :args (@t116 3)) % 0.37/0.59 (step @p206 :rule chain_m_resolution :premises (@p205 @p204) :args ((not @t107) @t117 @t118)) % 0.37/0.59 (step @p207 :rule cnf_or_pos :args (@t121)) % 0.37/0.59 (step @p208 :rule reordering :premises (@p207) :args ((or @t107 @t120 (not @t121)))) % 0.37/0.59 (step @p209 :rule chain_m_resolution :premises (@p208 @p206 @p202) :args (@t120 @t122 (@list @t107 @t121))) % 0.37/0.59 (step @p210 :rule bool-double-not-elim :args (@t109)) % 0.37/0.59 (step @p211 :rule refl :args (@t116)) % 0.37/0.59 (step @p212 :rule nary_cong :premises (@p211 @p210) :args ((or @t116 (not @t110)))) % 0.37/0.59 (step @p213 :rule cnf_or_neg :args (@t116 2)) % 0.37/0.59 (step @p214 :rule eq_resolve :premises (@p213 @p212)) % 0.37/0.59 (step @p215 :rule reordering :premises (@p214) :args ((or @t109 @t116))) % 0.37/0.59 (step @p216 :rule chain_m_resolution :premises (@p215 @p204) :args (@t109 @t117 @t118)) % 0.37/0.59 (step @p217 :rule bool-double-not-elim :args (@t112)) % 0.37/0.59 (step @p218 :rule nary_cong :premises (@p211 @p217) :args ((or @t116 (not @t113)))) % 0.37/0.59 (step @p219 :rule cnf_or_neg :args (@t116 1)) % 0.37/0.59 (step @p220 :rule eq_resolve :premises (@p219 @p218)) % 0.37/0.59 (step @p221 :rule reordering :premises (@p220) :args ((or @t112 @t116))) % 0.37/0.59 (step @p222 :rule chain_m_resolution :premises (@p221 @p204) :args (@t112 @t117 @t118)) % 0.37/0.59 (step @p223 :rule bool-double-not-elim :args (@t114)) % 0.37/0.59 (step @p224 :rule nary_cong :premises (@p211 @p223) :args ((or @t116 (not @t115)))) % 0.37/0.59 (step @p225 :rule cnf_or_neg :args (@t116 0)) % 0.37/0.59 (step @p226 :rule eq_resolve :premises (@p225 @p224)) % 0.37/0.59 (step @p227 :rule reordering :premises (@p226) :args ((or @t114 @t116))) % 0.37/0.59 (step @p228 :rule chain_m_resolution :premises (@p227 @p204) :args (@t114 @t117 @t118)) % 0.37/0.59 (step @p229 :rule cnf_or_pos :args (@t123)) % 0.37/0.59 (step @p230 :rule reordering :premises (@p229) :args ((or @t115 @t113 @t110 @t119 @t124))) % 0.37/0.59 (step @p231 :rule chain_m_resolution :premises (@p230 @p228 @p222 @p216 @p209) :args (@t124 (@list false false false true) (@list @t114 @t112 @t109 @t119))) % 0.37/0.59 (assume-push @p238 @t125) % 0.37/0.59 (step @p233 :rule instantiate :premises (@p200) :args ((@list @t108 @t105 @t106))) % 0.37/0.59 (step-pop @p239 :rule scope :premises (@p233)) % 0.37/0.59 (step @p234 :rule process_scope :premises (@p239) :args (@t123)) % 0.37/0.59 (step @p236 :rule implies_elim :premises (@p234)) % 0.37/0.59 (step @p237 false :rule chain_m_resolution :premises (@p236 @p231 @p200) :args (false @t122 (@list @t123 @t125))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------