%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU604^2 : 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 : n012.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 08:52:23 AM UTC 2026 % Result : Theorem 150.58s 151.00s % Output : Proof 150.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU604^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 17:42:48 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TH0 % 150.58/151.00 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.58/151.00 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 150.58/151.00 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 150.58/151.00 --- Run --ho-elim --full-saturate-quant at 18s... % 150.58/151.00 % SZS status Theorem % 150.58/151.00 % SZS output start Proof % 150.58/151.00 ( % 150.58/151.00 (declare-sort $$unsorted 0) % 150.58/151.00 (declare-const tptp.setminusER Bool) % 150.58/151.00 (declare-const tptp.subsetemptysetimpeq Bool) % 150.58/151.00 (declare-const tptp.emptyset $$unsorted) % 150.58/151.00 (declare-const tptp.setminusEL Bool) % 150.58/151.00 (declare-const tptp.subsetI2 Bool) % 150.58/151.00 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 150.58/151.00 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 150.58/151.00 (declare-const tptp.subsetE Bool) % 150.58/151.00 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 150.58/151.00 (define @t1 () (@var "B" $$unsorted)) % 150.58/151.00 (define @t2 () (@var "A" $$unsorted)) % 150.58/151.00 (define @t3 () (_ tptp.subset @t2)) % 150.58/151.00 (define @t4 () (_ @t3 @t1)) % 150.58/151.00 (define @t5 () (@var "Xx" $$unsorted)) % 150.58/151.00 (define @t6 () (_ tptp.in @t5)) % 150.58/151.00 (define @t7 () (_ @t6 @t1)) % 150.58/151.00 (define @t8 () (_ @t6 @t2)) % 150.58/151.00 (define @t9 () (=> @t8 @t7)) % 150.58/151.00 (define @t10 () (@list @t5)) % 150.58/151.00 (define @t11 () (forall @t10 @t9)) % 150.58/151.00 (define @t12 () (=> @t11 @t4)) % 150.58/151.00 (define @t13 () (@list @t2 @t1)) % 150.58/151.00 (define @t14 () (forall @t13 @t12)) % 150.58/151.00 (define @t15 () (= tptp.subsetI2 @t14)) % 150.58/151.00 (define @t16 () (@list @t2 @t1 @t5)) % 150.58/151.00 (define @t17 () (forall @t16 (=> @t4 @t9))) % 150.58/151.00 (define @t18 () (= tptp.subsetE @t17)) % 150.58/151.00 (define @t19 () (_ @t3 tptp.emptyset)) % 150.58/151.00 (define @t20 () (=> @t19 (= @t2 tptp.emptyset))) % 150.58/151.00 (define @t21 () (@list @t2)) % 150.58/151.00 (define @t22 () (forall @t21 @t20)) % 150.58/151.00 (define @t23 () (= tptp.subsetemptysetimpeq @t22)) % 150.58/151.00 (define @t24 () (_ (_ tptp.setminus @t2) @t1)) % 150.58/151.00 (define @t25 () (_ @t6 @t24)) % 150.58/151.00 (define @t26 () (forall @t16 (=> @t25 @t8))) % 150.58/151.00 (define @t27 () (= tptp.setminusEL @t26)) % 150.58/151.00 (define @t28 () (not @t7)) % 150.58/151.00 (define @t29 () (forall @t16 (=> @t25 @t28))) % 150.58/151.00 (define @t30 () (= tptp.setminusER @t29)) % 150.58/151.00 (define @t31 () (=> @t4 (= @t24 tptp.emptyset))) % 150.58/151.00 (define @t32 () (forall @t13 @t31)) % 150.58/151.00 (define @t33 () (=> tptp.setminusER @t32)) % 150.58/151.00 (define @t34 () (=> tptp.setminusEL @t33)) % 150.58/151.00 (define @t35 () (=> tptp.subsetemptysetimpeq @t34)) % 150.58/151.00 (define @t36 () (=> tptp.subsetE @t35)) % 150.58/151.00 (define @t37 () (=> tptp.subsetI2 @t36)) % 150.58/151.00 (define @t38 () (not @t37)) % 150.58/151.00 (define @t39 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)))) % 150.58/151.00 (define @t40 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted))))) % 150.58/151.00 (define @t41 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 150.58/151.00 (define @t42 () (_ @t41 (_ @t40 @t39 @t2) @t1)) % 150.58/151.00 (define @t43 () (@const 3 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.58/151.00 (define @t44 () (@const 4 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 150.58/151.00 (define @t45 () (_ @t44 @t43 @t2)) % 150.58/151.00 (define @t46 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 150.58/151.00 (define @t47 () (_ @t46 @t45 @t1)) % 150.58/151.00 (define @t48 () (not @t47)) % 150.58/151.00 (define @t49 () (forall @t13 (or @t48 (= tptp.emptyset @t42)))) % 150.58/151.00 (define @t50 () (@const 6 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.58/151.00 (define @t51 () (_ @t44 @t50 @t5)) % 150.58/151.00 (define @t52 () (_ @t46 @t51 @t1)) % 150.58/151.00 (define @t53 () (not (_ @t46 @t51 @t42))) % 150.58/151.00 (define @t54 () (_ @t46 @t51 @t2)) % 150.58/151.00 (define @t55 () (= tptp.emptyset @t2)) % 150.58/151.00 (define @t56 () (not @t54)) % 150.58/151.00 (define @t57 () (forall @t16 (or @t48 @t56 @t52))) % 150.58/151.00 (define @t58 () (tptp.setminus @t2 @t1)) % 150.58/151.00 (define @t59 () (tptp.subset @t2 @t1)) % 150.58/151.00 (define @t60 () (not @t59)) % 150.58/151.00 (define @t61 () (forall @t13 (or @t60 (= tptp.emptyset @t58)))) % 150.58/151.00 (define @t62 () (tptp.in @t5 @t1)) % 150.58/151.00 (define @t63 () (tptp.in @t5 @t58)) % 150.58/151.00 (define @t64 () (not @t63)) % 150.58/151.00 (define @t65 () (tptp.in @t5 @t2)) % 150.58/151.00 (define @t66 () (tptp.subset @t2 tptp.emptyset)) % 150.58/151.00 (define @t67 () (not @t65)) % 150.58/151.00 (define @t68 () (forall @t10 (or @t67 @t62))) % 150.58/151.00 (define @t69 () (not @t68)) % 150.58/151.00 (define @t70 () (not @t25)) % 150.58/151.00 (define @t71 () (or @t70 @t28)) % 150.58/151.00 (define @t72 () (=> tptp.setminusER @t61)) % 150.58/151.00 (define @t73 () (or @t70 @t8)) % 150.58/151.00 (define @t74 () (=> tptp.setminusEL @t72)) % 150.58/151.00 (define @t75 () (not @t19)) % 150.58/151.00 (define @t76 () (or @t75 @t55)) % 150.58/151.00 (define @t77 () (=> tptp.subsetemptysetimpeq @t74)) % 150.58/151.00 (define @t78 () (not @t8)) % 150.58/151.00 (define @t79 () (not @t4)) % 150.58/151.00 (define @t80 () (or @t79 @t78 @t7)) % 150.58/151.00 (define @t81 () (or @t78 @t7)) % 150.58/151.00 (define @t82 () (=> tptp.subsetE @t77)) % 150.58/151.00 (define @t83 () (or @t69 @t4)) % 150.58/151.00 (define @t84 () (=> tptp.subsetI2 @t82)) % 150.58/151.00 (define @t85 () (= tptp.emptyset @t24)) % 150.58/151.00 (define @t86 () (or @t79 @t85)) % 150.58/151.00 (define @t87 () (@quantifiers_skolemize @t49 1)) % 150.58/151.00 (define @t88 () (@quantifiers_skolemize @t49 0)) % 150.58/151.00 (define @t89 () (_ @t41 (_ @t40 @t39 @t88) @t87)) % 150.58/151.00 (define @t90 () (forall @t10 (or (not (_ @t46 @t51 @t89)) (_ @t46 @t51 tptp.emptyset)))) % 150.58/151.00 (define @t91 () (@quantifiers_skolemize @t90 0)) % 150.58/151.00 (define @t92 () (@list @t88 @t87 @t91)) % 150.58/151.00 (define @t93 () (= tptp.emptyset @t89)) % 150.58/151.00 (define @t94 () (_ @t46 (_ @t44 @t43 @t88) @t87)) % 150.58/151.00 (define @t95 () (not @t94)) % 150.58/151.00 (define @t96 () (or @t95 @t93)) % 150.58/151.00 (define @t97 () (@list true)) % 150.58/151.00 (define @t98 () (@list @t96)) % 150.58/151.00 (define @t99 () (_ @t46 (_ @t44 @t43 @t89) tptp.emptyset)) % 150.58/151.00 (define @t100 () (not @t99)) % 150.58/151.00 (define @t101 () (or @t100 @t93)) % 150.58/151.00 (define @t102 () (@list true false)) % 150.58/151.00 (define @t103 () (not @t90)) % 150.58/151.00 (define @t104 () (or @t103 @t99)) % 150.58/151.00 (define @t105 () (_ @t44 @t50 @t91)) % 150.58/151.00 (define @t106 () (_ @t46 @t105 @t89)) % 150.58/151.00 (define @t107 () (not @t106)) % 150.58/151.00 (define @t108 () (or @t107 (_ @t46 @t105 tptp.emptyset))) % 150.58/151.00 (define @t109 () (_ @t46 @t105 @t88)) % 150.58/151.00 (define @t110 () (or @t107 @t109)) % 150.58/151.00 (define @t111 () (@list false false)) % 150.58/151.00 (define @t112 () (_ @t46 @t105 @t87)) % 150.58/151.00 (define @t113 () (not @t112)) % 150.58/151.00 (define @t114 () (or @t107 @t113)) % 150.58/151.00 (define @t115 () (not @t109)) % 150.58/151.00 (define @t116 () (or @t95 @t115 @t112)) % 150.58/151.00 (define @t117 () (not @t116)) % 150.58/151.00 (assume @p1 @t15) % 150.58/151.00 (assume @p2 @t18) % 150.58/151.00 (assume @p3 @t23) % 150.58/151.00 (assume @p4 @t27) % 150.58/151.00 (assume @p5 @t30) % 150.58/151.00 (assume @p6 @t38) % 150.58/151.00 (assume @p7 true) % 150.58/151.00 ; WARNING: add trust step for TRUST % 150.58/151.00 ; trust TRUST PREPROCESS_HO_ELIM % 150.58/151.00 (step @p8 :rule trust :premises () :args ((= (not (=> (forall @t13 (or @t69 @t59)) (=> (forall @t16 (or @t60 @t67 @t62)) (=> (forall @t21 (or (not @t66) @t55)) (=> (forall @t16 (or @t64 @t65)) (=> (forall @t16 (or @t64 (not @t62))) @t61)))))) (not (=> (forall @t13 (or (not (forall @t10 (or @t56 @t52))) @t47)) (=> @t57 (=> (forall @t21 (or (not (_ @t46 @t45 tptp.emptyset)) @t55)) (=> (forall @t16 (or @t53 @t54)) (=> (forall @t16 (or @t53 (not @t52))) @t49))))))))) % 150.58/151.00 (step @p9 :rule refl :args (@t61)) % 150.58/151.00 (step @p10 :rule refl :args (@t62)) % 150.58/151.00 (step @p11 :rule refl :args (@t7)) % 150.58/151.00 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t7 @t62))) % 150.58/151.00 (step @p13 :rule symm :premises (@p12)) % 150.58/151.00 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 150.58/151.00 (step @p15 :rule cong :premises (@p14) :args (@t28)) % 150.58/151.00 (step @p16 :rule refl :args ((tptp.in @t5 @t24))) % 150.58/151.00 (step @p17 :rule refl :args (@t58)) % 150.58/151.00 (step @p18 :rule refl :args (@t5)) % 150.58/151.00 (step @p19 :rule cong :premises (@p18 @p17) :args (@t63)) % 150.58/151.00 (step @p20 :rule trans :premises (@p19 @p16)) % 150.58/151.00 (step @p21 :rule refl :args (@t6)) % 150.58/151.00 (step @p22 :rule ho_cong :premises (@p21 @p17)) % 150.58/151.00 (step @p23 :rule cong :premises (@p22 @p20) :args ((= (_ @t6 @t58) @t63))) % 150.58/151.00 (step @p24 :rule symm :premises (@p23)) % 150.58/151.00 (step @p25 :rule refl :args (@t25)) % 150.58/151.00 (step @p26 :rule eq_resolve :premises (@p25 @p24)) % 150.58/151.00 (step @p27 :rule refl :args (@t24)) % 150.58/151.00 (step @p28 :rule cong :premises (@p27 @p17) :args ((= @t24 @t58))) % 150.58/151.00 (step @p29 :rule symm :premises (@p28)) % 150.58/151.00 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 150.58/151.00 (step @p31 :rule ho_cong :premises (@p21 @p30)) % 150.58/151.00 (step @p32 :rule trans :premises (@p31 @p26)) % 150.58/151.00 (step @p33 :rule cong :premises (@p32) :args (@t70)) % 150.58/151.00 (step @p34 :rule nary_cong :premises (@p33 @p15) :args (@t71)) % 150.58/151.00 (step @p35 :rule cong :premises (@p34) :args ((forall @t16 @t71))) % 150.58/151.00 (step @p36 :rule bool-impl-elim :args (@t25 @t28)) % 150.58/151.00 (step @p37 :rule cong :premises (@p36) :args (@t29)) % 150.58/151.00 (step @p38 :rule trans :premises (@p37 @p35)) % 150.58/151.00 (step @p39 :rule refl :args (tptp.setminusER)) % 150.58/151.00 (step @p40 :rule cong :premises (@p39 @p38) :args (@t30)) % 150.58/151.00 (step @p41 :rule eq_resolve :premises (@p5 @p40)) % 150.58/151.00 (step @p42 :rule cong :premises (@p41 @p9) :args (@t72)) % 150.58/151.00 (step @p43 :rule refl :args (@t65)) % 150.58/151.00 (step @p44 :rule refl :args (@t8)) % 150.58/151.00 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t8 @t65))) % 150.58/151.00 (step @p46 :rule symm :premises (@p45)) % 150.58/151.00 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 150.58/151.00 (step @p48 :rule nary_cong :premises (@p33 @p47) :args (@t73)) % 150.58/151.00 (step @p49 :rule cong :premises (@p48) :args ((forall @t16 @t73))) % 150.58/151.00 (step @p50 :rule bool-impl-elim :args (@t25 @t8)) % 150.58/151.00 (step @p51 :rule cong :premises (@p50) :args (@t26)) % 150.58/151.00 (step @p52 :rule trans :premises (@p51 @p49)) % 150.58/151.00 (step @p53 :rule refl :args (tptp.setminusEL)) % 150.58/151.00 (step @p54 :rule cong :premises (@p53 @p52) :args (@t27)) % 150.58/151.00 (step @p55 :rule eq_resolve :premises (@p4 @p54)) % 150.58/151.00 (step @p56 :rule cong :premises (@p55 @p42) :args (@t74)) % 150.58/151.00 (step @p57 :rule refl :args (@t55)) % 150.58/151.00 (step @p58 :rule refl :args (@t66)) % 150.58/151.00 (step @p59 :rule refl :args (@t19)) % 150.58/151.00 (step @p60 :rule cong :premises (@p59 @p58) :args ((= @t19 @t66))) % 150.58/151.00 (step @p61 :rule symm :premises (@p60)) % 150.58/151.00 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 150.58/151.00 (step @p63 :rule cong :premises (@p62) :args (@t75)) % 150.58/151.00 (step @p64 :rule nary_cong :premises (@p63 @p57) :args (@t76)) % 150.58/151.00 (step @p65 :rule cong :premises (@p64) :args ((forall @t21 @t76))) % 150.58/151.00 (step @p66 :rule bool-impl-elim :args (@t19 @t55)) % 150.58/151.00 (step @p67 :rule cong :premises (@p66) :args ((forall @t21 (=> @t19 @t55)))) % 150.58/151.00 (step @p68 :rule trans :premises (@p67 @p65)) % 150.58/151.00 (step @p69 :rule eq-symm :args (@t2 tptp.emptyset)) % 150.58/151.00 (step @p70 :rule refl :args (@t19)) % 150.58/151.00 (step @p71 :rule cong :premises (@p70 @p69) :args (@t20)) % 150.58/151.00 (step @p72 :rule cong :premises (@p71) :args (@t22)) % 150.58/151.00 (step @p73 :rule trans :premises (@p72 @p68)) % 150.58/151.00 (step @p74 :rule refl :args (tptp.subsetemptysetimpeq)) % 150.58/151.00 (step @p75 :rule cong :premises (@p74 @p73) :args (@t23)) % 150.58/151.00 (step @p76 :rule eq_resolve :premises (@p3 @p75)) % 150.58/151.00 (step @p77 :rule cong :premises (@p76 @p56) :args (@t77)) % 150.58/151.00 (step @p78 :rule cong :premises (@p47) :args (@t78)) % 150.58/151.00 (step @p79 :rule refl :args (@t59)) % 150.58/151.00 (step @p80 :rule refl :args (@t4)) % 150.58/151.00 (step @p81 :rule cong :premises (@p80 @p79) :args ((= @t4 @t59))) % 150.58/151.00 (step @p82 :rule symm :premises (@p81)) % 150.58/151.00 (step @p83 :rule eq_resolve :premises (@p80 @p82)) % 150.58/151.00 (step @p84 :rule cong :premises (@p83) :args (@t79)) % 150.58/151.00 (step @p85 :rule nary_cong :premises (@p84 @p78 @p14) :args (@t80)) % 150.58/151.00 (step @p86 :rule cong :premises (@p85) :args ((forall @t16 @t80))) % 150.58/151.00 (step @p87 :rule aci_norm :args ((= (or @t79 @t81) @t80))) % 150.58/151.00 (step @p88 :rule bool-impl-elim :args (@t8 @t7)) % 150.58/151.00 (step @p89 :rule refl :args (@t79)) % 150.58/151.00 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or @t79 @t9))) % 150.58/151.00 (step @p91 :rule trans :premises (@p90 @p87)) % 150.58/151.00 (step @p92 :rule bool-impl-elim :args (@t4 @t9)) % 150.58/151.00 (step @p93 :rule trans :premises (@p92 @p91)) % 150.58/151.00 (step @p94 :rule cong :premises (@p93) :args (@t17)) % 150.58/151.00 (step @p95 :rule trans :premises (@p94 @p86)) % 150.58/151.00 (step @p96 :rule refl :args (tptp.subsetE)) % 150.58/151.00 (step @p97 :rule cong :premises (@p96 @p95) :args (@t18)) % 150.58/151.00 (step @p98 :rule eq_resolve :premises (@p2 @p97)) % 150.58/151.00 (step @p99 :rule cong :premises (@p98 @p77) :args (@t82)) % 150.58/151.00 (step @p100 :rule refl :args (@t69)) % 150.58/151.00 (step @p101 :rule nary_cong :premises (@p100 @p83) :args (@t83)) % 150.58/151.00 (step @p102 :rule cong :premises (@p101) :args ((forall @t13 @t83))) % 150.58/151.00 (step @p103 :rule bool-impl-elim :args (@t68 @t4)) % 150.58/151.00 (step @p104 :rule cong :premises (@p103) :args ((forall @t13 (=> @t68 @t4)))) % 150.58/151.00 (step @p105 :rule trans :premises (@p104 @p102)) % 150.58/151.00 (step @p106 :rule refl :args (@t4)) % 150.58/151.00 (step @p107 :rule nary_cong :premises (@p78 @p14) :args (@t81)) % 150.58/151.00 (step @p108 :rule cong :premises (@p107) :args ((forall @t10 @t81))) % 150.58/151.00 (step @p109 :rule cong :premises (@p88) :args (@t11)) % 150.58/151.00 (step @p110 :rule trans :premises (@p109 @p108)) % 150.58/151.00 (step @p111 :rule cong :premises (@p110 @p106) :args (@t12)) % 150.58/151.00 (step @p112 :rule cong :premises (@p111) :args (@t14)) % 150.58/151.00 (step @p113 :rule trans :premises (@p112 @p105)) % 150.58/151.00 (step @p114 :rule refl :args (tptp.subsetI2)) % 150.58/151.00 (step @p115 :rule cong :premises (@p114 @p113) :args (@t15)) % 150.58/151.00 (step @p116 :rule eq_resolve :premises (@p1 @p115)) % 150.58/151.00 (step @p117 :rule cong :premises (@p116 @p99) :args (@t84)) % 150.58/151.00 (step @p118 :rule cong :premises (@p117) :args ((not @t84))) % 150.58/151.00 (step @p119 :rule refl :args (tptp.emptyset)) % 150.58/151.00 (step @p120 :rule cong :premises (@p119 @p30) :args (@t85)) % 150.58/151.00 (step @p121 :rule nary_cong :premises (@p84 @p120) :args (@t86)) % 150.58/151.00 (step @p122 :rule cong :premises (@p121) :args ((forall @t13 @t86))) % 150.58/151.00 (step @p123 :rule bool-impl-elim :args (@t4 @t85)) % 150.58/151.00 (step @p124 :rule cong :premises (@p123) :args ((forall @t13 (=> @t4 @t85)))) % 150.58/151.00 (step @p125 :rule trans :premises (@p124 @p122)) % 150.58/151.00 (step @p126 :rule eq-symm :args (@t24 tptp.emptyset)) % 150.58/151.00 (step @p127 :rule cong :premises (@p106 @p126) :args (@t31)) % 150.58/151.00 (step @p128 :rule cong :premises (@p127) :args (@t32)) % 150.58/151.00 (step @p129 :rule trans :premises (@p128 @p125)) % 150.58/151.00 (step @p130 :rule cong :premises (@p39 @p129) :args (@t33)) % 150.58/151.00 (step @p131 :rule cong :premises (@p53 @p130) :args (@t34)) % 150.58/151.00 (step @p132 :rule cong :premises (@p74 @p131) :args (@t35)) % 150.58/151.00 (step @p133 :rule cong :premises (@p96 @p132) :args (@t36)) % 150.58/151.00 (step @p134 :rule cong :premises (@p114 @p133) :args (@t37)) % 150.58/151.00 (step @p135 :rule cong :premises (@p134) :args (@t38)) % 150.58/151.00 (step @p136 :rule trans :premises (@p135 @p118 @p8)) % 150.58/151.00 (step @p137 :rule eq_resolve :premises (@p6 @p136)) % 150.58/151.00 (step @p138 :rule not_implies_elim2 :premises (@p137)) % 150.58/151.00 (step @p139 :rule not_implies_elim1 :premises (@p138)) % 150.58/151.00 (step @p140 :rule not_implies_elim2 :premises (@p138)) % 150.58/151.00 (step @p141 :rule not_implies_elim2 :premises (@p140)) % 150.58/151.00 (step @p142 :rule not_implies_elim1 :premises (@p141)) % 150.58/151.00 (step @p143 :rule instantiate :premises (@p142) :args (@t92)) % 150.58/151.00 (step @p144 :rule not_implies_elim1 :premises (@p137)) % 150.58/151.00 (step @p145 :rule instantiate :premises (@p144) :args ((@list @t89 tptp.emptyset))) % 150.58/151.00 (step @p146 :rule not_implies_elim1 :premises (@p140)) % 150.58/151.00 (step @p147 :rule instantiate :premises (@p146) :args ((@list @t89))) % 150.58/151.00 (step @p148 :rule not_implies_elim2 :premises (@p141)) % 150.58/151.00 (step @p149 :rule not_implies_elim2 :premises (@p148)) % 150.58/151.00 (step @p150 :rule skolemize :premises (@p149)) % 150.58/151.00 (step @p151 :rule cnf_or_neg :args (@t96 1)) % 150.58/151.00 (step @p152 :rule chain_m_resolution :premises (@p151 @p150) :args ((not @t93) @t97 @t98)) % 150.58/151.00 (step @p153 :rule cnf_or_pos :args (@t101)) % 150.58/151.00 (step @p154 :rule reordering :premises (@p153) :args ((or @t93 @t100 (not @t101)))) % 150.58/151.00 (step @p155 :rule chain_m_resolution :premises (@p154 @p152 @p147) :args (@t100 @t102 (@list @t93 @t101))) % 150.58/151.00 (step @p156 :rule cnf_or_pos :args (@t104)) % 150.58/151.00 (step @p157 :rule reordering :premises (@p156) :args ((or @t99 @t103 (not @t104)))) % 150.58/151.00 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p145) :args (@t103 @t102 (@list @t99 @t104))) % 150.58/151.00 (step @p159 :rule skolemize :premises (@p158)) % 150.58/151.00 (step @p160 :rule bool-double-not-elim :args (@t106)) % 150.58/151.00 (step @p161 :rule refl :args (@t108)) % 150.58/151.00 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or @t108 (not @t107)))) % 150.58/151.00 (step @p163 :rule cnf_or_neg :args (@t108 0)) % 150.58/151.00 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 150.58/151.00 (step @p165 :rule reordering :premises (@p164) :args ((or @t106 @t108))) % 150.58/151.00 (step @p166 :rule chain_m_resolution :premises (@p165 @p159) :args (@t106 @t97 (@list @t108))) % 150.58/151.00 (step @p167 :rule cnf_or_pos :args (@t110)) % 150.58/151.00 (step @p168 :rule reordering :premises (@p167) :args ((or @t107 @t109 (not @t110)))) % 150.58/151.00 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p143) :args (@t109 @t111 (@list @t106 @t110))) % 150.58/151.00 (step @p170 :rule not_implies_elim1 :premises (@p148)) % 150.58/151.00 (step @p171 :rule instantiate :premises (@p170) :args (@t92)) % 150.58/151.00 (step @p172 :rule cnf_or_pos :args (@t114)) % 150.58/151.00 (step @p173 :rule reordering :premises (@p172) :args ((or @t107 @t113 (not @t114)))) % 150.58/151.00 (step @p174 :rule chain_m_resolution :premises (@p173 @p166 @p171) :args (@t113 @t111 (@list @t106 @t114))) % 150.58/151.00 (step @p175 :rule bool-double-not-elim :args (@t94)) % 150.58/151.00 (step @p176 :rule refl :args (@t96)) % 150.58/151.00 (step @p177 :rule nary_cong :premises (@p176 @p175) :args ((or @t96 (not @t95)))) % 150.58/151.00 (step @p178 :rule cnf_or_neg :args (@t96 0)) % 150.58/151.00 (step @p179 :rule eq_resolve :premises (@p178 @p177)) % 150.58/151.00 (step @p180 :rule reordering :premises (@p179) :args ((or @t94 @t96))) % 150.58/151.00 (step @p181 :rule chain_m_resolution :premises (@p180 @p150) :args (@t94 @t97 @t98)) % 150.58/151.00 (step @p182 :rule cnf_or_pos :args (@t116)) % 150.58/151.00 (step @p183 :rule reordering :premises (@p182) :args ((or @t95 @t112 @t115 @t117))) % 150.58/151.00 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p174 @p169) :args (@t117 (@list false true false) (@list @t94 @t112 @t109))) % 150.58/151.00 (assume-push @p191 @t57) % 150.58/151.00 (step @p186 :rule instantiate :premises (@p139) :args (@t92)) % 150.58/151.00 (step-pop @p192 :rule scope :premises (@p186)) % 150.58/151.00 (step @p187 :rule process_scope :premises (@p192) :args (@t116)) % 150.58/151.00 (step @p189 :rule implies_elim :premises (@p187)) % 150.58/151.00 (step @p190 false :rule chain_m_resolution :premises (@p189 @p184 @p139) :args (false @t102 (@list @t116 @t57))) % 150.58/151.00 ) % 150.58/151.00 % SZS output end Proof % 150.58/151.00 % cvc5 exiting %------------------------------------------------------------------------------