%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU610^2 : 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 : n025.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 08:52:24 AM UTC 2026 % Result : Theorem 0.48s 0.64s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU610^2 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n025.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 17:43:01 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.48/0.64 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.48/0.64 % SZS status Theorem % 0.48/0.64 % SZS output start Proof % 0.48/0.64 ( % 0.48/0.64 (declare-sort $$unsorted 0) % 0.48/0.64 (declare-const tptp.setminusI Bool) % 0.48/0.64 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.64 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.48/0.64 (declare-const tptp.in__Cong Bool) % 0.48/0.64 (declare-const tptp.emptysetE Bool) % 0.48/0.64 (declare-const tptp.subsetI2 Bool) % 0.48/0.64 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.48/0.64 (declare-const tptp.emptyset $$unsorted) % 0.48/0.64 (define @t1 () (@var "Xphi" Bool)) % 0.48/0.64 (define @t2 () (@list @t1)) % 0.48/0.64 (define @t3 () (forall @t2 @t1)) % 0.48/0.64 (define @t4 () (@var "Xx" $$unsorted)) % 0.48/0.64 (define @t5 () (_ tptp.in @t4)) % 0.48/0.64 (define @t6 () (_ @t5 tptp.emptyset)) % 0.48/0.64 (define @t7 () (=> @t6 @t3)) % 0.48/0.64 (define @t8 () (@list @t4)) % 0.48/0.64 (define @t9 () (forall @t8 @t7)) % 0.48/0.64 (define @t10 () (= tptp.emptysetE @t9)) % 0.48/0.64 (define @t11 () (@var "B" $$unsorted)) % 0.48/0.64 (define @t12 () (@var "Xy" $$unsorted)) % 0.48/0.64 (define @t13 () (_ (_ tptp.in @t12) @t11)) % 0.48/0.64 (define @t14 () (@var "A" $$unsorted)) % 0.48/0.64 (define @t15 () (_ @t5 @t14)) % 0.48/0.64 (define @t16 () (= @t15 @t13)) % 0.48/0.64 (define @t17 () (= @t4 @t12)) % 0.48/0.64 (define @t18 () (@list @t4 @t12)) % 0.48/0.64 (define @t19 () (forall @t18 (=> @t17 @t16))) % 0.48/0.64 (define @t20 () (= @t14 @t11)) % 0.48/0.64 (define @t21 () (=> @t20 @t19)) % 0.48/0.64 (define @t22 () (@list @t14 @t11)) % 0.48/0.64 (define @t23 () (forall @t22 @t21)) % 0.48/0.64 (define @t24 () (= tptp.in__Cong @t23)) % 0.48/0.64 (define @t25 () (_ (_ tptp.subset @t14) @t11)) % 0.48/0.64 (define @t26 () (_ @t5 @t11)) % 0.48/0.64 (define @t27 () (forall @t8 (=> @t15 @t26))) % 0.48/0.64 (define @t28 () (=> @t27 @t25)) % 0.48/0.64 (define @t29 () (forall @t22 @t28)) % 0.48/0.64 (define @t30 () (= tptp.subsetI2 @t29)) % 0.48/0.64 (define @t31 () (_ (_ tptp.setminus @t14) @t11)) % 0.48/0.64 (define @t32 () (_ @t5 @t31)) % 0.48/0.64 (define @t33 () (not @t26)) % 0.48/0.64 (define @t34 () (=> @t33 @t32)) % 0.48/0.64 (define @t35 () (@list @t14 @t11 @t4)) % 0.48/0.64 (define @t36 () (forall @t35 (=> @t15 @t34))) % 0.48/0.64 (define @t37 () (= tptp.setminusI @t36)) % 0.48/0.64 (define @t38 () (=> (= @t31 tptp.emptyset) @t25)) % 0.48/0.64 (define @t39 () (forall @t22 @t38)) % 0.48/0.64 (define @t40 () (=> tptp.setminusI @t39)) % 0.48/0.64 (define @t41 () (=> tptp.subsetI2 @t40)) % 0.48/0.64 (define @t42 () (=> tptp.in__Cong @t41)) % 0.48/0.64 (define @t43 () (=> tptp.emptysetE @t42)) % 0.48/0.64 (define @t44 () (not @t43)) % 0.48/0.64 (define @t45 () (tptp.subset @t14 @t11)) % 0.48/0.64 (define @t46 () (tptp.setminus @t14 @t11)) % 0.48/0.64 (define @t47 () (forall @t22 (or (not (= tptp.emptyset @t46)) @t45))) % 0.48/0.64 (define @t48 () (tptp.in @t4 @t46)) % 0.48/0.64 (define @t49 () (tptp.in @t4 @t11)) % 0.48/0.64 (define @t50 () (tptp.in @t4 @t14)) % 0.48/0.64 (define @t51 () (not @t50)) % 0.48/0.64 (define @t52 () (forall @t8 (or @t51 @t49))) % 0.48/0.64 (define @t53 () (not @t52)) % 0.48/0.64 (define @t54 () (=> (forall @t22 (or @t53 @t45)) (=> (forall @t35 (or @t51 @t49 @t48)) @t47))) % 0.48/0.64 (define @t55 () (tptp.in @t4 tptp.emptyset)) % 0.48/0.64 (define @t56 () (forall @t8 (not @t55))) % 0.48/0.64 (define @t57 () (=> @t56 (=> true @t54))) % 0.48/0.64 (define @t58 () (not @t15)) % 0.48/0.64 (define @t59 () (or @t58 @t26 @t32)) % 0.48/0.64 (define @t60 () (=> tptp.setminusI @t47)) % 0.48/0.64 (define @t61 () (or @t53 @t25)) % 0.48/0.64 (define @t62 () (or @t58 @t26)) % 0.48/0.64 (define @t63 () (=> tptp.subsetI2 @t60)) % 0.48/0.64 (define @t64 () (@var "BOUND_VARIABLE_7501" $$unsorted)) % 0.48/0.64 (define @t65 () (@list @t11 @t64)) % 0.48/0.64 (define @t66 () (tptp.in @t64 @t11)) % 0.48/0.64 (define @t67 () (not (= @t11 @t11))) % 0.48/0.64 (define @t68 () (or @t67 (= @t66 @t66))) % 0.48/0.64 (define @t69 () (= @t66 (tptp.in @t64 @t14))) % 0.48/0.64 (define @t70 () (not @t20)) % 0.48/0.64 (define @t71 () (or @t70 @t70 @t69)) % 0.48/0.64 (define @t72 () (@list @t14)) % 0.48/0.64 (define @t73 () (or @t70 @t69)) % 0.48/0.64 (define @t74 () (forall @t72 @t73)) % 0.48/0.64 (define @t75 () (forall @t65 @t74)) % 0.48/0.64 (define @t76 () (forall (@list @t11 @t64 @t14) @t73)) % 0.48/0.64 (define @t77 () (forall (@list @t14 @t11 @t64) @t73)) % 0.48/0.64 (define @t78 () (@list @t64)) % 0.48/0.64 (define @t79 () (forall @t78 @t73)) % 0.48/0.64 (define @t80 () (forall @t78 @t69)) % 0.48/0.64 (define @t81 () (or @t70 @t80)) % 0.48/0.64 (define @t82 () (tptp.in @t12 @t14)) % 0.48/0.64 (define @t83 () (tptp.in @t12 @t11)) % 0.48/0.64 (define @t84 () (= @t83 @t82)) % 0.48/0.64 (define @t85 () (@list @t12)) % 0.48/0.64 (define @t86 () (forall @t85 @t84)) % 0.48/0.64 (define @t87 () (not (= @t12 @t12))) % 0.48/0.64 (define @t88 () (or @t87 (= @t82 @t83))) % 0.48/0.64 (define @t89 () (= @t50 @t83)) % 0.48/0.64 (define @t90 () (not @t17)) % 0.48/0.64 (define @t91 () (or @t90 @t90 @t89)) % 0.48/0.64 (define @t92 () (or @t90 @t89)) % 0.48/0.64 (define @t93 () (forall @t8 @t92)) % 0.48/0.64 (define @t94 () (forall @t85 @t93)) % 0.48/0.64 (define @t95 () (forall (@list @t12 @t4) @t92)) % 0.48/0.64 (define @t96 () (or @t90 @t16)) % 0.48/0.64 (define @t97 () (=> tptp.in__Cong @t63)) % 0.48/0.64 (define @t98 () (not @t6)) % 0.48/0.64 (define @t99 () (or @t1 @t1)) % 0.48/0.64 (define @t100 () (=> tptp.emptysetE @t97)) % 0.48/0.64 (define @t101 () (= tptp.emptyset @t31)) % 0.48/0.64 (define @t102 () (not @t101)) % 0.48/0.64 (define @t103 () (or @t102 @t25)) % 0.48/0.64 (define @t104 () (@quantifiers_skolemize @t47 1)) % 0.48/0.64 (define @t105 () (@quantifiers_skolemize @t47 0)) % 0.48/0.64 (define @t106 () (forall @t8 (or (not (tptp.in @t4 @t105)) (tptp.in @t4 @t104)))) % 0.48/0.64 (define @t107 () (@quantifiers_skolemize @t106 0)) % 0.48/0.64 (define @t108 () (tptp.subset @t105 @t104)) % 0.48/0.64 (define @t109 () (tptp.setminus @t105 @t104)) % 0.48/0.64 (define @t110 () (= tptp.emptyset @t109)) % 0.48/0.64 (define @t111 () (not @t110)) % 0.48/0.64 (define @t112 () (or @t111 @t108)) % 0.48/0.64 (define @t113 () (@list true)) % 0.48/0.64 (define @t114 () (@list @t112)) % 0.48/0.64 (define @t115 () (not @t106)) % 0.48/0.64 (define @t116 () (or @t115 @t108)) % 0.48/0.64 (define @t117 () (tptp.in @t107 @t104)) % 0.48/0.64 (define @t118 () (tptp.in @t107 @t105)) % 0.48/0.64 (define @t119 () (not @t118)) % 0.48/0.64 (define @t120 () (or @t119 @t117)) % 0.48/0.64 (define @t121 () (@list @t120)) % 0.48/0.64 (define @t122 () (tptp.in @t107 @t109)) % 0.48/0.64 (define @t123 () (or @t119 @t117 @t122)) % 0.48/0.64 (define @t124 () (tptp.in @t107 tptp.emptyset)) % 0.48/0.64 (assume @p1 @t10) % 0.48/0.64 (assume @p2 @t24) % 0.48/0.64 (assume @p3 @t30) % 0.48/0.64 (assume @p4 @t37) % 0.48/0.64 (assume @p5 @t44) % 0.48/0.64 (assume @p6 true) % 0.48/0.64 (step @p7 :rule bool-impl-true2 :args (@t54)) % 0.48/0.64 (step @p8 :rule refl :args (@t56)) % 0.48/0.64 (step @p9 :rule cong :premises (@p8 @p7) :args (@t57)) % 0.48/0.64 (step @p10 :rule cong :premises (@p9) :args ((not @t57))) % 0.48/0.64 (step @p11 :rule refl :args (@t47)) % 0.48/0.64 (step @p12 :rule refl :args ((tptp.in @t4 @t31))) % 0.48/0.64 (step @p13 :rule refl :args (@t46)) % 0.48/0.64 (step @p14 :rule refl :args (@t4)) % 0.48/0.64 (step @p15 :rule cong :premises (@p14 @p13) :args (@t48)) % 0.48/0.64 (step @p16 :rule trans :premises (@p15 @p12)) % 0.48/0.64 (step @p17 :rule refl :args (@t5)) % 0.48/0.64 (step @p18 :rule ho_cong :premises (@p17 @p13)) % 0.48/0.64 (step @p19 :rule cong :premises (@p18 @p16) :args ((= (_ @t5 @t46) @t48))) % 0.48/0.64 (step @p20 :rule symm :premises (@p19)) % 0.48/0.64 (step @p21 :rule refl :args (@t32)) % 0.48/0.64 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 0.48/0.64 (step @p23 :rule refl :args (@t31)) % 0.48/0.64 (step @p24 :rule cong :premises (@p23 @p13) :args ((= @t31 @t46))) % 0.48/0.64 (step @p25 :rule symm :premises (@p24)) % 0.48/0.64 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.48/0.64 (step @p27 :rule ho_cong :premises (@p17 @p26)) % 0.48/0.64 (step @p28 :rule trans :premises (@p27 @p22)) % 0.48/0.64 (step @p29 :rule refl :args (@t49)) % 0.48/0.64 (step @p30 :rule refl :args (@t26)) % 0.48/0.64 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t26 @t49))) % 0.48/0.64 (step @p32 :rule symm :premises (@p31)) % 0.48/0.64 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.48/0.64 (step @p34 :rule refl :args (@t50)) % 0.48/0.64 (step @p35 :rule refl :args (@t15)) % 0.48/0.64 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t15 @t50))) % 0.48/0.64 (step @p37 :rule symm :premises (@p36)) % 0.48/0.64 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 0.48/0.64 (step @p39 :rule cong :premises (@p38) :args (@t58)) % 0.48/0.64 (step @p40 :rule nary_cong :premises (@p39 @p33 @p28) :args (@t59)) % 0.48/0.64 (step @p41 :rule cong :premises (@p40) :args ((forall @t35 @t59))) % 0.48/0.64 (step @p42 :rule aci_norm :args ((= (or @t58 (or @t26 @t32)) @t59))) % 0.48/0.64 (step @p43 :rule bool-double-not-elim :args (@t26)) % 0.48/0.64 (step @p44 :rule nary_cong :premises (@p43 @p21) :args ((or (not @t33) @t32))) % 0.48/0.64 (step @p45 :rule bool-impl-elim :args (@t33 @t32)) % 0.48/0.64 (step @p46 :rule trans :premises (@p45 @p44)) % 0.48/0.64 (step @p47 :rule refl :args (@t58)) % 0.48/0.64 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t58 @t34))) % 0.48/0.64 (step @p49 :rule trans :premises (@p48 @p42)) % 0.48/0.64 (step @p50 :rule bool-impl-elim :args (@t15 @t34)) % 0.48/0.64 (step @p51 :rule trans :premises (@p50 @p49)) % 0.48/0.64 (step @p52 :rule cong :premises (@p51) :args (@t36)) % 0.48/0.64 (step @p53 :rule trans :premises (@p52 @p41)) % 0.48/0.64 (step @p54 :rule refl :args (tptp.setminusI)) % 0.48/0.64 (step @p55 :rule cong :premises (@p54 @p53) :args (@t37)) % 0.48/0.64 (step @p56 :rule eq_resolve :premises (@p4 @p55)) % 0.48/0.64 (step @p57 :rule cong :premises (@p56 @p11) :args (@t60)) % 0.48/0.64 (step @p58 :rule refl :args (@t45)) % 0.48/0.64 (step @p59 :rule refl :args (@t25)) % 0.48/0.64 (step @p60 :rule cong :premises (@p59 @p58) :args ((= @t25 @t45))) % 0.48/0.64 (step @p61 :rule symm :premises (@p60)) % 0.48/0.64 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 0.48/0.64 (step @p63 :rule refl :args (@t53)) % 0.48/0.64 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t61)) % 0.48/0.64 (step @p65 :rule cong :premises (@p64) :args ((forall @t22 @t61))) % 0.48/0.64 (step @p66 :rule bool-impl-elim :args (@t52 @t25)) % 0.48/0.64 (step @p67 :rule cong :premises (@p66) :args ((forall @t22 (=> @t52 @t25)))) % 0.48/0.64 (step @p68 :rule trans :premises (@p67 @p65)) % 0.48/0.64 (step @p69 :rule refl :args (@t25)) % 0.48/0.64 (step @p70 :rule nary_cong :premises (@p39 @p33) :args (@t62)) % 0.48/0.64 (step @p71 :rule cong :premises (@p70) :args ((forall @t8 @t62))) % 0.48/0.64 (step @p72 :rule bool-impl-elim :args (@t15 @t26)) % 0.48/0.64 (step @p73 :rule cong :premises (@p72) :args (@t27)) % 0.48/0.64 (step @p74 :rule trans :premises (@p73 @p71)) % 0.48/0.64 (step @p75 :rule cong :premises (@p74 @p69) :args (@t28)) % 0.48/0.64 (step @p76 :rule cong :premises (@p75) :args (@t29)) % 0.48/0.64 (step @p77 :rule trans :premises (@p76 @p68)) % 0.48/0.64 (step @p78 :rule refl :args (tptp.subsetI2)) % 0.48/0.64 (step @p79 :rule cong :premises (@p78 @p77) :args (@t30)) % 0.48/0.64 (step @p80 :rule eq_resolve :premises (@p3 @p79)) % 0.48/0.64 (step @p81 :rule cong :premises (@p80 @p57) :args (@t63)) % 0.48/0.64 (step @p82 :rule bool-eq-true :args (tptp.in__Cong)) % 0.48/0.64 (step @p83 :rule symm :premises (@p82)) % 0.48/0.64 (step @p84 :rule quant-unused-vars :args ((= (forall @t65 true) true))) % 0.48/0.64 (step @p85 :rule evaluate :args ((or false true))) % 0.48/0.64 (step @p86 :rule eq-refl :args (@t66)) % 0.48/0.64 (step @p87 :rule evaluate :args ((not true))) % 0.48/0.64 (step @p88 :rule eq-refl :args (@t11)) % 0.48/0.64 (step @p89 :rule cong :premises (@p88) :args (@t67)) % 0.48/0.64 (step @p90 :rule trans :premises (@p89 @p87)) % 0.48/0.64 (step @p91 :rule nary_cong :premises (@p90 @p86) :args (@t68)) % 0.48/0.64 (step @p92 :rule trans :premises (@p91 @p85)) % 0.48/0.64 (step @p93 :rule cong :premises (@p92) :args ((forall @t65 @t68))) % 0.48/0.64 (step @p94 :rule trans :premises (@p93 @p84)) % 0.48/0.64 (step @p95 :rule quant-var-elim-eq :args ((= (forall @t72 @t71) @t68))) % 0.48/0.64 (step @p96 :rule aci_norm :args ((= @t73 @t71))) % 0.48/0.64 (step @p97 :rule cong :premises (@p96) :args (@t74)) % 0.48/0.64 (step @p98 :rule trans :premises (@p97 @p95)) % 0.48/0.64 (step @p99 :rule cong :premises (@p98) :args (@t75)) % 0.48/0.64 (step @p100 :rule quant-merge-prenex :args ((= @t75 @t76))) % 0.48/0.64 (step @p101 :rule symm :premises (@p100)) % 0.48/0.64 (step @p102 :rule quant_var_reordering :args ((= @t77 @t76))) % 0.48/0.64 (step @p103 :rule trans :premises (@p102 @p101 @p99)) % 0.48/0.64 (step @p104 :rule trans :premises (@p103 @p94)) % 0.48/0.64 (step @p105 :rule quant-merge-prenex :args ((= (forall @t22 @t79) @t77))) % 0.48/0.64 (step @p106 :rule alpha_equiv :args (@t80 (@list @t64) (@list @t12))) % 0.48/0.64 (step @p107 :rule refl :args (@t70)) % 0.48/0.64 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t81)) % 0.48/0.64 (step @p109 :rule quant-miniscope-or :args ((= @t79 @t81))) % 0.48/0.64 (step @p110 :rule trans :premises (@p109 @p108)) % 0.48/0.64 (step @p111 :rule symm :premises (@p110)) % 0.48/0.64 (step @p112 :rule cong :premises (@p111) :args ((forall @t22 (or @t70 @t86)))) % 0.48/0.64 (step @p113 :rule trans :premises (@p112 @p105)) % 0.48/0.64 (step @p114 :rule trans :premises (@p113 @p104)) % 0.48/0.64 (step @p115 :rule bool-impl-elim :args (@t20 @t86)) % 0.48/0.64 (step @p116 :rule cong :premises (@p115) :args ((forall @t22 (=> @t20 @t86)))) % 0.48/0.64 (step @p117 :rule trans :premises (@p116 @p114)) % 0.48/0.64 (step @p118 :rule aci_norm :args ((= (or false @t84) @t84))) % 0.48/0.64 (step @p119 :rule eq-symm :args (@t82 @t83)) % 0.48/0.64 (step @p120 :rule eq-refl :args (@t12)) % 0.48/0.64 (step @p121 :rule cong :premises (@p120) :args (@t87)) % 0.48/0.64 (step @p122 :rule trans :premises (@p121 @p87)) % 0.48/0.64 (step @p123 :rule nary_cong :premises (@p122 @p119) :args (@t88)) % 0.48/0.64 (step @p124 :rule trans :premises (@p123 @p118)) % 0.48/0.64 (step @p125 :rule cong :premises (@p124) :args ((forall @t85 @t88))) % 0.48/0.64 (step @p126 :rule quant-var-elim-eq :args ((= (forall @t8 @t91) @t88))) % 0.48/0.64 (step @p127 :rule aci_norm :args ((= @t92 @t91))) % 0.48/0.64 (step @p128 :rule cong :premises (@p127) :args (@t93)) % 0.48/0.64 (step @p129 :rule trans :premises (@p128 @p126)) % 0.48/0.64 (step @p130 :rule cong :premises (@p129) :args (@t94)) % 0.48/0.64 (step @p131 :rule quant-merge-prenex :args ((= @t94 @t95))) % 0.48/0.64 (step @p132 :rule symm :premises (@p131)) % 0.48/0.64 (step @p133 :rule quant_var_reordering :args ((= (forall @t18 @t92) @t95))) % 0.48/0.64 (step @p134 :rule trans :premises (@p133 @p132 @p130)) % 0.48/0.64 (step @p135 :rule trans :premises (@p134 @p125)) % 0.48/0.64 (step @p136 :rule refl :args (@t83)) % 0.48/0.64 (step @p137 :rule refl :args (@t13)) % 0.48/0.64 (step @p138 :rule cong :premises (@p137 @p136) :args ((= @t13 @t83))) % 0.48/0.64 (step @p139 :rule symm :premises (@p138)) % 0.48/0.64 (step @p140 :rule eq_resolve :premises (@p137 @p139)) % 0.48/0.64 (step @p141 :rule cong :premises (@p38 @p140) :args (@t16)) % 0.48/0.64 (step @p142 :rule refl :args (@t90)) % 0.48/0.64 (step @p143 :rule nary_cong :premises (@p142 @p141) :args (@t96)) % 0.48/0.64 (step @p144 :rule cong :premises (@p143) :args ((forall @t18 @t96))) % 0.48/0.64 (step @p145 :rule trans :premises (@p144 @p135)) % 0.48/0.64 (step @p146 :rule bool-impl-elim :args (@t17 @t16)) % 0.48/0.64 (step @p147 :rule cong :premises (@p146) :args (@t19)) % 0.48/0.64 (step @p148 :rule trans :premises (@p147 @p145)) % 0.48/0.64 (step @p149 :rule refl :args (@t20)) % 0.48/0.64 (step @p150 :rule cong :premises (@p149 @p148) :args (@t21)) % 0.48/0.64 (step @p151 :rule cong :premises (@p150) :args (@t23)) % 0.48/0.64 (step @p152 :rule trans :premises (@p151 @p117)) % 0.48/0.64 (step @p153 :rule refl :args (tptp.in__Cong)) % 0.48/0.64 (step @p154 :rule cong :premises (@p153 @p152) :args (@t24)) % 0.48/0.64 (step @p155 :rule trans :premises (@p154 @p82)) % 0.48/0.64 (step @p156 :rule eq_resolve :premises (@p2 @p155)) % 0.48/0.64 (step @p157 :rule eq_resolve :premises (@p156 @p83)) % 0.48/0.64 (step @p158 :rule cong :premises (@p157 @p81) :args (@t97)) % 0.48/0.64 (step @p159 :rule refl :args (@t55)) % 0.48/0.64 (step @p160 :rule refl :args (@t6)) % 0.48/0.64 (step @p161 :rule cong :premises (@p160 @p159) :args ((= @t6 @t55))) % 0.48/0.64 (step @p162 :rule symm :premises (@p161)) % 0.48/0.64 (step @p163 :rule eq_resolve :premises (@p160 @p162)) % 0.48/0.64 (step @p164 :rule cong :premises (@p163) :args (@t98)) % 0.48/0.64 (step @p165 :rule cong :premises (@p164) :args ((forall @t8 @t98))) % 0.48/0.64 (step @p166 :rule bool-impl-false1 :args (@t6)) % 0.48/0.64 (step @p167 :rule quant-var-elim-eq :args ((= (forall @t2 (or (not (= @t1 false)) @t1)) false))) % 0.48/0.64 (step @p168 :rule refl :args (@t1)) % 0.48/0.64 (step @p169 :rule bool-eq-false :args (@t1)) % 0.48/0.64 (step @p170 :rule symm :premises (@p169)) % 0.48/0.64 (step @p171 :rule cong :premises (@p170) :args ((not (not @t1)))) % 0.48/0.64 (step @p172 :rule bool-double-not-elim :args (@t1)) % 0.48/0.64 (step @p173 :rule symm :premises (@p172)) % 0.48/0.64 (step @p174 :rule trans :premises (@p173 @p171)) % 0.48/0.64 (step @p175 :rule nary_cong :premises (@p174 @p168) :args (@t99)) % 0.48/0.64 (step @p176 :rule aci_norm :args ((= @t1 @t99))) % 0.48/0.64 (step @p177 :rule trans :premises (@p176 @p175)) % 0.48/0.64 (step @p178 :rule cong :premises (@p177) :args (@t3)) % 0.48/0.64 (step @p179 :rule trans :premises (@p178 @p167)) % 0.48/0.64 (step @p180 :rule refl :args (@t6)) % 0.48/0.64 (step @p181 :rule cong :premises (@p180 @p179) :args (@t7)) % 0.48/0.64 (step @p182 :rule trans :premises (@p181 @p166)) % 0.48/0.64 (step @p183 :rule cong :premises (@p182) :args (@t9)) % 0.48/0.64 (step @p184 :rule trans :premises (@p183 @p165)) % 0.48/0.64 (step @p185 :rule refl :args (tptp.emptysetE)) % 0.48/0.64 (step @p186 :rule cong :premises (@p185 @p184) :args (@t10)) % 0.48/0.64 (step @p187 :rule eq_resolve :premises (@p1 @p186)) % 0.48/0.64 (step @p188 :rule cong :premises (@p187 @p158) :args (@t100)) % 0.48/0.64 (step @p189 :rule cong :premises (@p188) :args ((not @t100))) % 0.48/0.64 (step @p190 :rule trans :premises (@p189 @p10)) % 0.48/0.64 (step @p191 :rule refl :args (tptp.emptyset)) % 0.48/0.64 (step @p192 :rule cong :premises (@p191 @p26) :args (@t101)) % 0.48/0.64 (step @p193 :rule cong :premises (@p192) :args (@t102)) % 0.48/0.64 (step @p194 :rule nary_cong :premises (@p193 @p62) :args (@t103)) % 0.48/0.64 (step @p195 :rule cong :premises (@p194) :args ((forall @t22 @t103))) % 0.48/0.64 (step @p196 :rule bool-impl-elim :args (@t101 @t25)) % 0.48/0.64 (step @p197 :rule cong :premises (@p196) :args ((forall @t22 (=> @t101 @t25)))) % 0.48/0.64 (step @p198 :rule trans :premises (@p197 @p195)) % 0.48/0.64 (step @p199 :rule eq-symm :args (@t31 tptp.emptyset)) % 0.48/0.64 (step @p200 :rule cong :premises (@p199 @p69) :args (@t38)) % 0.48/0.64 (step @p201 :rule cong :premises (@p200) :args (@t39)) % 0.48/0.64 (step @p202 :rule trans :premises (@p201 @p198)) % 0.48/0.64 (step @p203 :rule cong :premises (@p54 @p202) :args (@t40)) % 0.48/0.64 (step @p204 :rule cong :premises (@p78 @p203) :args (@t41)) % 0.48/0.64 (step @p205 :rule cong :premises (@p153 @p204) :args (@t42)) % 0.48/0.64 (step @p206 :rule cong :premises (@p185 @p205) :args (@t43)) % 0.48/0.64 (step @p207 :rule cong :premises (@p206) :args (@t44)) % 0.48/0.64 (step @p208 :rule trans :premises (@p207 @p190)) % 0.48/0.64 (step @p209 :rule eq_resolve :premises (@p5 @p208)) % 0.48/0.64 (step @p210 :rule not_implies_elim1 :premises (@p209)) % 0.48/0.64 (step @p211 :rule not_implies_elim2 :premises (@p209)) % 0.48/0.64 (step @p212 :rule not_implies_elim2 :premises (@p211)) % 0.48/0.64 (step @p213 :rule not_implies_elim1 :premises (@p212)) % 0.48/0.64 (step @p214 :rule instantiate :premises (@p213) :args ((@list @t105 @t104 @t107))) % 0.48/0.64 (step @p215 :rule not_implies_elim1 :premises (@p211)) % 0.48/0.64 (step @p216 :rule instantiate :premises (@p215) :args ((@list @t105 @t104))) % 0.48/0.64 (step @p217 :rule not_implies_elim2 :premises (@p212)) % 0.48/0.64 (step @p218 :rule skolemize :premises (@p217)) % 0.48/0.64 (step @p219 :rule cnf_or_neg :args (@t112 1)) % 0.48/0.64 (step @p220 :rule chain_m_resolution :premises (@p219 @p218) :args ((not @t108) @t113 @t114)) % 0.48/0.64 (step @p221 :rule cnf_or_pos :args (@t116)) % 0.48/0.64 (step @p222 :rule reordering :premises (@p221) :args ((or @t108 @t115 (not @t116)))) % 0.48/0.64 (step @p223 :rule chain_m_resolution :premises (@p222 @p220 @p216) :args (@t115 (@list true false) (@list @t108 @t116))) % 0.48/0.64 (step @p224 :rule skolemize :premises (@p223)) % 0.48/0.64 (step @p225 :rule cnf_or_neg :args (@t120 1)) % 0.48/0.64 (step @p226 :rule chain_m_resolution :premises (@p225 @p224) :args ((not @t117) @t113 @t121)) % 0.48/0.64 (step @p227 :rule bool-double-not-elim :args (@t118)) % 0.48/0.64 (step @p228 :rule refl :args (@t120)) % 0.48/0.64 (step @p229 :rule nary_cong :premises (@p228 @p227) :args ((or @t120 (not @t119)))) % 0.48/0.64 (step @p230 :rule cnf_or_neg :args (@t120 0)) % 0.48/0.64 (step @p231 :rule eq_resolve :premises (@p230 @p229)) % 0.48/0.64 (step @p232 :rule reordering :premises (@p231) :args ((or @t118 @t120))) % 0.48/0.64 (step @p233 :rule chain_m_resolution :premises (@p232 @p224) :args (@t118 @t113 @t121)) % 0.48/0.64 (step @p234 :rule cnf_or_pos :args (@t123)) % 0.48/0.64 (step @p235 :rule reordering :premises (@p234) :args ((or @t119 @t117 @t122 (not @t123)))) % 0.48/0.64 (step @p236 :rule chain_m_resolution :premises (@p235 @p233 @p226 @p214) :args (@t122 (@list false true false) (@list @t118 @t117 @t123))) % 0.48/0.64 (step @p237 :rule true_intro :premises (@p236)) % 0.48/0.64 (step @p238 :rule bool-double-not-elim :args (@t110)) % 0.48/0.64 (step @p239 :rule refl :args (@t112)) % 0.48/0.64 (step @p240 :rule nary_cong :premises (@p239 @p238) :args ((or @t112 (not @t111)))) % 0.48/0.64 (step @p241 :rule cnf_or_neg :args (@t112 0)) % 0.48/0.64 (step @p242 :rule eq_resolve :premises (@p241 @p240)) % 0.48/0.64 (step @p243 :rule reordering :premises (@p242) :args ((or @t110 @t112))) % 0.48/0.64 (step @p244 :rule chain_m_resolution :premises (@p243 @p218) :args (@t110 @t113 @t114)) % 0.48/0.64 (step @p245 :rule refl :args (@t107)) % 0.48/0.64 (step @p246 :rule cong :premises (@p245 @p244) :args (@t124)) % 0.48/0.64 (step @p247 :rule trans :premises (@p246 @p237)) % 0.48/0.64 (step @p248 :rule true_elim :premises (@p247)) % 0.48/0.64 (assume-push @p255 @t56) % 0.48/0.64 (step @p250 :rule instantiate :premises (@p210) :args ((@list @t107))) % 0.48/0.64 (step-pop @p256 :rule scope :premises (@p250)) % 0.48/0.64 (step @p251 :rule process_scope :premises (@p256) :args ((not @t124))) % 0.48/0.64 (step @p253 :rule implies_elim :premises (@p251)) % 0.48/0.64 (step @p254 false :rule chain_m_resolution :premises (@p253 @p248 @p210) :args (false (@list false false) (@list @t124 @t56))) % 0.48/0.64 ) % 0.48/0.64 % SZS output end Proof % 0.48/0.64 % cvc5 exiting %------------------------------------------------------------------------------