%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV189^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:55:35 AM UTC 2026 % Result : Theorem 151.52s 151.81s % Output : Proof 151.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV189^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.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 18:18:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 151.52/151.81 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 151.52/151.81 --- 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... % 151.52/151.81 --- 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... % 151.52/151.81 --- Run --ho-elim --full-saturate-quant at 18s... % 151.52/151.81 % SZS status Theorem % 151.52/151.81 % SZS output start Proof % 151.52/151.81 ( % 151.52/151.81 (declare-sort tptp.b 0) % 151.52/151.81 (declare-const tptp.cP (-> (-> tptp.b Bool) Bool)) % 151.52/151.81 (declare-const tptp.cQ (-> (-> tptp.b Bool) Bool)) % 151.52/151.81 (define @t1 () (@var "Xx" tptp.b)) % 151.52/151.81 (define @t2 () (@var "S0" (-> tptp.b Bool))) % 151.52/151.81 (define @t3 () (_ @t2 @t1)) % 151.52/151.81 (define @t4 () (@var "S" (-> (-> tptp.b Bool) Bool))) % 151.52/151.81 (define @t5 () (_ @t4 @t2)) % 151.52/151.81 (define @t6 () (@list @t2)) % 151.52/151.81 (define @t7 () (forall @t6 (=> @t5 @t3))) % 151.52/151.81 (define @t8 () (@list @t1)) % 151.52/151.81 (define @t9 () (lambda @t8 @t7)) % 151.52/151.81 (define @t10 () (_ tptp.cQ @t9)) % 151.52/151.81 (define @t11 () (_ tptp.cP @t9)) % 151.52/151.81 (define @t12 () (and @t11 @t10)) % 151.52/151.81 (define @t13 () (@var "Xx" (-> tptp.b Bool))) % 151.52/151.81 (define @t14 () (_ tptp.cQ @t13)) % 151.52/151.81 (define @t15 () (_ tptp.cP @t13)) % 151.52/151.81 (define @t16 () (and @t15 @t14)) % 151.52/151.81 (define @t17 () (_ @t4 @t13)) % 151.52/151.81 (define @t18 () (@list @t13)) % 151.52/151.81 (define @t19 () (forall @t18 (=> @t17 @t16))) % 151.52/151.81 (define @t20 () (=> @t19 @t12)) % 151.52/151.81 (define @t21 () (@list @t4)) % 151.52/151.81 (define @t22 () (forall @t21 @t20)) % 151.52/151.81 (define @t23 () (forall @t18 (=> @t17 @t14))) % 151.52/151.81 (define @t24 () (=> @t23 @t10)) % 151.52/151.81 (define @t25 () (forall @t21 @t24)) % 151.52/151.81 (define @t26 () (forall @t18 (=> @t17 @t15))) % 151.52/151.81 (define @t27 () (=> @t26 @t11)) % 151.52/151.81 (define @t28 () (forall @t21 @t27)) % 151.52/151.81 (define @t29 () (and @t28 @t25)) % 151.52/151.81 (define @t30 () (=> @t29 @t22)) % 151.52/151.81 (define @t31 () (not @t30)) % 151.52/151.81 (define @t32 () (@var "BOUND_VARIABLE_7559" (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.b Bool)) Bool)))) % 151.52/151.81 (define @t33 () (@const 0 (@ho-elim-sort (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.b Bool)) Bool)) tptp.b Bool)))) % 151.52/151.81 (define @t34 () (@const 1 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.b Bool)) Bool)) tptp.b Bool)) (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.b Bool)) Bool)) (@ho-elim-sort (-> tptp.b Bool))))) % 151.52/151.81 (define @t35 () (_ @t34 @t33 @t32)) % 151.52/151.81 (define @t36 () (@const 2 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.b Bool)) Bool)))) % 151.52/151.81 (define @t37 () (@const 3 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.b Bool)) Bool)) (@ho-elim-sort (-> tptp.b Bool)) Bool))) % 151.52/151.81 (define @t38 () (_ @t37 @t36 @t35)) % 151.52/151.81 (define @t39 () (@const 4 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.b Bool)) Bool)))) % 151.52/151.81 (define @t40 () (_ @t37 @t39 @t35)) % 151.52/151.81 (define @t41 () (@var "BOUND_VARIABLE_7574" (@ho-elim-sort (-> tptp.b Bool)))) % 151.52/151.81 (define @t42 () (_ @t37 @t36 @t41)) % 151.52/151.81 (define @t43 () (_ @t37 @t39 @t41)) % 151.52/151.81 (define @t44 () (and @t43 @t42)) % 151.52/151.81 (define @t45 () (not (_ @t37 @t32 @t41))) % 151.52/151.81 (define @t46 () (@list @t41)) % 151.52/151.81 (define @t47 () (@list @t32)) % 151.52/151.81 (define @t48 () (forall @t47 (or (not (forall @t46 (or @t45 @t44))) (and @t40 @t38)))) % 151.52/151.81 (define @t49 () (_ (@const 5 (-> (-> (-> tptp.b Bool) Bool) tptp.b Bool)) @t4)) % 151.52/151.81 (define @t50 () (tptp.cQ @t49)) % 151.52/151.81 (define @t51 () (tptp.cP @t49)) % 151.52/151.81 (define @t52 () (tptp.cQ @t13)) % 151.52/151.81 (define @t53 () (tptp.cP @t13)) % 151.52/151.81 (define @t54 () (_ @t4 @t13)) % 151.52/151.81 (define @t55 () (not @t54)) % 151.52/151.81 (define @t56 () (forall @t18 (or @t55 (and @t53 @t52)))) % 151.52/151.81 (define @t57 () (not @t56)) % 151.52/151.81 (define @t58 () (forall @t18 (or @t55 @t52))) % 151.52/151.81 (define @t59 () (not @t58)) % 151.52/151.81 (define @t60 () (forall @t18 (or @t55 @t53))) % 151.52/151.81 (define @t61 () (not @t60)) % 151.52/151.81 (define @t62 () (not (=> (and (forall @t21 (or @t61 @t51)) (forall @t21 (or @t59 @t50))) (forall @t21 (or @t57 (and @t51 @t50)))))) % 151.52/151.81 (define @t63 () (_ @t2 @t1)) % 151.52/151.81 (define @t64 () (_ @t4 @t2)) % 151.52/151.81 (define @t65 () (not @t64)) % 151.52/151.81 (define @t66 () (or @t65 @t63)) % 151.52/151.81 (define @t67 () (forall @t6 @t66)) % 151.52/151.81 (define @t68 () (lambda @t8 @t67)) % 151.52/151.81 (define @t69 () (tptp.cQ @t68)) % 151.52/151.81 (define @t70 () (tptp.cP @t68)) % 151.52/151.81 (define @t71 () (not @t5)) % 151.52/151.81 (define @t72 () (or @t71 @t3)) % 151.52/151.81 (define @t73 () (forall @t6 @t72)) % 151.52/151.81 (define @t74 () (lambda @t8 @t73)) % 151.52/151.81 (define @t75 () (_ tptp.cQ @t68)) % 151.52/151.81 (define @t76 () (_ tptp.cP @t68)) % 151.52/151.81 (define @t77 () (and @t76 @t75)) % 151.52/151.81 (define @t78 () (or @t57 @t77)) % 151.52/151.81 (define @t79 () (not @t17)) % 151.52/151.81 (define @t80 () (or @t79 @t16)) % 151.52/151.81 (define @t81 () (or @t59 @t75)) % 151.52/151.81 (define @t82 () (or @t79 @t14)) % 151.52/151.81 (define @t83 () (or @t61 @t76)) % 151.52/151.81 (define @t84 () (or @t79 @t15)) % 151.52/151.81 (define @t85 () (@quantifiers_skolemize @t48 0)) % 151.52/151.81 (define @t86 () (@list @t85)) % 151.52/151.81 (define @t87 () (not (_ @t37 @t85 @t41))) % 151.52/151.81 (define @t88 () (forall @t46 (or @t87 @t43))) % 151.52/151.81 (define @t89 () (@quantifiers_skolemize @t88 0)) % 151.52/151.81 (define @t90 () (_ @t37 @t85 @t89)) % 151.52/151.81 (define @t91 () (_ @t37 @t39 @t89)) % 151.52/151.81 (define @t92 () (not @t90)) % 151.52/151.81 (define @t93 () (or @t92 @t91)) % 151.52/151.81 (define @t94 () (forall @t46 (or @t87 @t44))) % 151.52/151.81 (define @t95 () (_ @t34 @t33 @t85)) % 151.52/151.81 (define @t96 () (_ @t37 @t36 @t95)) % 151.52/151.81 (define @t97 () (_ @t37 @t39 @t95)) % 151.52/151.81 (define @t98 () (and @t97 @t96)) % 151.52/151.81 (define @t99 () (not @t94)) % 151.52/151.81 (define @t100 () (or @t99 @t98)) % 151.52/151.81 (define @t101 () (@list true)) % 151.52/151.81 (define @t102 () (@list @t100)) % 151.52/151.81 (define @t103 () (and @t91 (_ @t37 @t36 @t89))) % 151.52/151.81 (define @t104 () (or @t92 @t103)) % 151.52/151.81 (define @t105 () (not @t93)) % 151.52/151.81 (define @t106 () (not @t88)) % 151.52/151.81 (define @t107 () (or @t106 @t97)) % 151.52/151.81 (define @t108 () (@list true false)) % 151.52/151.81 (define @t109 () (forall @t46 (or @t87 @t42))) % 151.52/151.81 (define @t110 () (not @t109)) % 151.52/151.81 (define @t111 () (or @t110 @t96)) % 151.52/151.81 (define @t112 () (@quantifiers_skolemize @t109 0)) % 151.52/151.81 (define @t113 () (_ @t37 @t36 @t112)) % 151.52/151.81 (define @t114 () (_ @t37 @t85 @t112)) % 151.52/151.81 (define @t115 () (not @t114)) % 151.52/151.81 (define @t116 () (or @t115 @t113)) % 151.52/151.81 (define @t117 () (not @t116)) % 151.52/151.81 (define @t118 () (@list @t116)) % 151.52/151.81 (define @t119 () (and (_ @t37 @t39 @t112) @t113)) % 151.52/151.81 (define @t120 () (not @t119)) % 151.52/151.81 (define @t121 () (or @t115 @t119)) % 151.52/151.81 (assume @p1 @t31) % 151.52/151.81 (assume @p2 true) % 151.52/151.81 ; WARNING: add trust step for TRUST % 151.52/151.81 ; trust TRUST PREPROCESS_HO_ELIM % 151.52/151.81 (step @p3 :rule trust :premises () :args ((= @t62 (not (=> (and (forall @t47 (or (not (forall @t46 (or @t45 @t43))) @t40)) (forall @t47 (or (not (forall @t46 (or @t45 @t42))) @t38))) @t48))))) % 151.52/151.81 ; trust TRUST PREPROCESS_HO_ELIM % 151.52/151.81 (step @p4 :rule trust :premises () :args ((= (not (=> (and (forall @t21 (or @t61 @t70)) (forall @t21 (or @t59 @t69))) (forall @t21 (or @t57 (and @t70 @t69))))) @t62))) % 151.52/151.81 (step @p5 :rule refl :args ((tptp.cQ @t74))) % 151.52/151.81 (step @p6 :rule refl :args (@t63)) % 151.52/151.81 (step @p7 :rule refl :args (@t64)) % 151.52/151.81 (step @p8 :rule cong :premises (@p7) :args (@t65)) % 151.52/151.81 (step @p9 :rule nary_cong :premises (@p8 @p6) :args (@t66)) % 151.52/151.81 (step @p10 :rule cong :premises (@p9) :args (@t67)) % 151.52/151.81 (step @p11 :rule cong :premises (@p10) :args (@t68)) % 151.52/151.81 (step @p12 :rule cong :premises (@p11) :args (@t69)) % 151.52/151.81 (step @p13 :rule trans :premises (@p12 @p5)) % 151.52/151.81 (step @p14 :rule refl :args (tptp.cQ)) % 151.52/151.81 (step @p15 :rule ho_cong :premises (@p14 @p11)) % 151.52/151.81 (step @p16 :rule cong :premises (@p15 @p13) :args ((= @t75 @t69))) % 151.52/151.81 (step @p17 :rule symm :premises (@p16)) % 151.52/151.81 (step @p18 :rule refl :args ((_ tptp.cQ @t74))) % 151.52/151.81 (step @p19 :rule eq_resolve :premises (@p18 @p17)) % 151.52/151.81 (step @p20 :rule refl :args ((tptp.cP @t74))) % 151.52/151.81 (step @p21 :rule cong :premises (@p11) :args (@t70)) % 151.52/151.81 (step @p22 :rule trans :premises (@p21 @p20)) % 151.52/151.81 (step @p23 :rule refl :args (tptp.cP)) % 151.52/151.81 (step @p24 :rule ho_cong :premises (@p23 @p11)) % 151.52/151.81 (step @p25 :rule cong :premises (@p24 @p22) :args ((= @t76 @t70))) % 151.52/151.81 (step @p26 :rule symm :premises (@p25)) % 151.52/151.81 (step @p27 :rule refl :args ((_ tptp.cP @t74))) % 151.52/151.81 (step @p28 :rule eq_resolve :premises (@p27 @p26)) % 151.52/151.81 (step @p29 :rule nary_cong :premises (@p28 @p19) :args (@t77)) % 151.52/151.81 (step @p30 :rule refl :args (@t57)) % 151.52/151.81 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t78)) % 151.52/151.81 (step @p32 :rule cong :premises (@p31) :args ((forall @t21 @t78))) % 151.52/151.81 (step @p33 :rule bool-impl-elim :args (@t56 @t77)) % 151.52/151.81 (step @p34 :rule cong :premises (@p33) :args ((forall @t21 (=> @t56 @t77)))) % 151.52/151.81 (step @p35 :rule trans :premises (@p34 @p32)) % 151.52/151.81 (step @p36 :rule refl :args (@t3)) % 151.52/151.81 (step @p37 :rule cong :premises (@p36 @p6) :args ((= @t3 @t63))) % 151.52/151.81 (step @p38 :rule symm :premises (@p37)) % 151.52/151.81 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 151.52/151.81 (step @p40 :rule refl :args (@t5)) % 151.52/151.81 (step @p41 :rule cong :premises (@p40 @p7) :args ((= @t5 @t64))) % 151.52/151.81 (step @p42 :rule symm :premises (@p41)) % 151.52/151.81 (step @p43 :rule eq_resolve :premises (@p40 @p42)) % 151.52/151.81 (step @p44 :rule cong :premises (@p43) :args (@t71)) % 151.52/151.81 (step @p45 :rule nary_cong :premises (@p44 @p39) :args (@t72)) % 151.52/151.81 (step @p46 :rule cong :premises (@p45) :args (@t73)) % 151.52/151.81 (step @p47 :rule bool-impl-elim :args (@t5 @t3)) % 151.52/151.81 (step @p48 :rule cong :premises (@p47) :args (@t7)) % 151.52/151.81 (step @p49 :rule trans :premises (@p48 @p46)) % 151.52/151.81 (step @p50 :rule cong :premises (@p49) :args (@t9)) % 151.52/151.81 (step @p51 :rule refl :args (tptp.cQ)) % 151.52/151.81 (step @p52 :rule ho_cong :premises (@p51 @p50)) % 151.52/151.81 (step @p53 :rule refl :args (tptp.cP)) % 151.52/151.81 (step @p54 :rule ho_cong :premises (@p53 @p50)) % 151.52/151.81 (step @p55 :rule nary_cong :premises (@p54 @p52) :args (@t12)) % 151.52/151.81 (step @p56 :rule refl :args (@t52)) % 151.52/151.81 (step @p57 :rule refl :args (@t14)) % 151.52/151.81 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t14 @t52))) % 151.52/151.81 (step @p59 :rule symm :premises (@p58)) % 151.52/151.81 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 151.52/151.81 (step @p61 :rule refl :args (@t53)) % 151.52/151.81 (step @p62 :rule refl :args (@t15)) % 151.52/151.81 (step @p63 :rule cong :premises (@p62 @p61) :args ((= @t15 @t53))) % 151.52/151.81 (step @p64 :rule symm :premises (@p63)) % 151.52/151.81 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 151.52/151.81 (step @p66 :rule nary_cong :premises (@p65 @p60) :args (@t16)) % 151.52/151.81 (step @p67 :rule refl :args (@t54)) % 151.52/151.81 (step @p68 :rule refl :args (@t17)) % 151.52/151.81 (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t17 @t54))) % 151.52/151.81 (step @p70 :rule symm :premises (@p69)) % 151.52/151.81 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 151.52/151.81 (step @p72 :rule cong :premises (@p71) :args (@t79)) % 151.52/151.81 (step @p73 :rule nary_cong :premises (@p72 @p66) :args (@t80)) % 151.52/151.81 (step @p74 :rule cong :premises (@p73) :args ((forall @t18 @t80))) % 151.52/151.81 (step @p75 :rule bool-impl-elim :args (@t17 @t16)) % 151.52/151.81 (step @p76 :rule cong :premises (@p75) :args (@t19)) % 151.52/151.81 (step @p77 :rule trans :premises (@p76 @p74)) % 151.52/151.81 (step @p78 :rule cong :premises (@p77 @p55) :args (@t20)) % 151.52/151.81 (step @p79 :rule cong :premises (@p78) :args (@t22)) % 151.52/151.81 (step @p80 :rule trans :premises (@p79 @p35)) % 151.52/151.81 (step @p81 :rule refl :args (@t59)) % 151.52/151.81 (step @p82 :rule nary_cong :premises (@p81 @p19) :args (@t81)) % 151.52/151.81 (step @p83 :rule cong :premises (@p82) :args ((forall @t21 @t81))) % 151.52/151.81 (step @p84 :rule bool-impl-elim :args (@t58 @t75)) % 151.52/151.81 (step @p85 :rule cong :premises (@p84) :args ((forall @t21 (=> @t58 @t75)))) % 151.52/151.81 (step @p86 :rule trans :premises (@p85 @p83)) % 151.52/151.81 (step @p87 :rule nary_cong :premises (@p72 @p60) :args (@t82)) % 151.52/151.81 (step @p88 :rule cong :premises (@p87) :args ((forall @t18 @t82))) % 151.52/151.81 (step @p89 :rule bool-impl-elim :args (@t17 @t14)) % 151.52/151.81 (step @p90 :rule cong :premises (@p89) :args (@t23)) % 151.52/151.81 (step @p91 :rule trans :premises (@p90 @p88)) % 151.52/151.81 (step @p92 :rule cong :premises (@p91 @p52) :args (@t24)) % 151.52/151.81 (step @p93 :rule cong :premises (@p92) :args (@t25)) % 151.52/151.81 (step @p94 :rule trans :premises (@p93 @p86)) % 151.52/151.81 (step @p95 :rule refl :args (@t61)) % 151.52/151.81 (step @p96 :rule nary_cong :premises (@p95 @p28) :args (@t83)) % 151.52/151.81 (step @p97 :rule cong :premises (@p96) :args ((forall @t21 @t83))) % 151.52/151.81 (step @p98 :rule bool-impl-elim :args (@t60 @t76)) % 151.52/151.81 (step @p99 :rule cong :premises (@p98) :args ((forall @t21 (=> @t60 @t76)))) % 151.52/151.81 (step @p100 :rule trans :premises (@p99 @p97)) % 151.52/151.81 (step @p101 :rule nary_cong :premises (@p72 @p65) :args (@t84)) % 151.52/151.81 (step @p102 :rule cong :premises (@p101) :args ((forall @t18 @t84))) % 151.52/151.81 (step @p103 :rule bool-impl-elim :args (@t17 @t15)) % 151.52/151.81 (step @p104 :rule cong :premises (@p103) :args (@t26)) % 151.52/151.81 (step @p105 :rule trans :premises (@p104 @p102)) % 151.52/151.81 (step @p106 :rule cong :premises (@p105 @p54) :args (@t27)) % 151.52/151.81 (step @p107 :rule cong :premises (@p106) :args (@t28)) % 151.52/151.81 (step @p108 :rule trans :premises (@p107 @p100)) % 151.52/151.81 (step @p109 :rule nary_cong :premises (@p108 @p94) :args (@t29)) % 151.52/151.81 (step @p110 :rule cong :premises (@p109 @p80) :args (@t30)) % 151.52/151.81 (step @p111 :rule cong :premises (@p110) :args (@t31)) % 151.52/151.81 (step @p112 :rule trans :premises (@p111 @p4 @p3)) % 151.52/151.81 (step @p113 :rule eq_resolve :premises (@p1 @p112)) % 151.52/151.81 (step @p114 :rule not_implies_elim1 :premises (@p113)) % 151.52/151.81 (step @p115 :rule and_elim :premises (@p114) :args (1)) % 151.52/151.81 (step @p116 :rule instantiate :premises (@p115) :args (@t86)) % 151.52/151.81 (step @p117 :rule and_elim :premises (@p114) :args (0)) % 151.52/151.81 (step @p118 :rule instantiate :premises (@p117) :args (@t86)) % 151.52/151.81 (step @p119 :rule bool-double-not-elim :args (@t90)) % 151.52/151.81 (step @p120 :rule refl :args (@t93)) % 151.52/151.81 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or @t93 (not @t92)))) % 151.52/151.81 (step @p122 :rule cnf_or_neg :args (@t93 0)) % 151.52/151.81 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 151.52/151.81 (step @p124 :rule reordering :premises (@p123) :args ((or @t90 @t93))) % 151.52/151.81 (step @p125 :rule cnf_or_neg :args (@t93 1)) % 151.52/151.81 (step @p126 :rule not_implies_elim2 :premises (@p113)) % 151.52/151.81 (step @p127 :rule skolemize :premises (@p126)) % 151.52/151.81 (step @p128 :rule bool-double-not-elim :args (@t94)) % 151.52/151.81 (step @p129 :rule refl :args (@t100)) % 151.52/151.81 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or @t100 (not @t99)))) % 151.52/151.81 (step @p131 :rule cnf_or_neg :args (@t100 0)) % 151.52/151.81 (step @p132 :rule eq_resolve :premises (@p131 @p130)) % 151.52/151.81 (step @p133 :rule reordering :premises (@p132) :args ((or @t94 @t100))) % 151.52/151.81 (step @p134 :rule chain_m_resolution :premises (@p133 @p127) :args (@t94 @t101 @t102)) % 151.52/151.81 (step @p135 :rule instantiate :premises (@p134) :args ((@list @t89))) % 151.52/151.81 (step @p136 :rule cnf_or_pos :args (@t104)) % 151.52/151.81 (step @p137 :rule reordering :premises (@p136) :args ((or @t92 @t103 (not @t104)))) % 151.52/151.81 (step @p138 :rule cnf_and_pos :args (@t103 0)) % 151.52/151.81 (step @p139 :rule reordering :premises (@p138) :args ((or @t91 (not @t103)))) % 151.52/151.81 (step @p140 :rule chain_m_resolution :premises (@p139 @p137 @p135 @p125 @p124) :args (@t93 (@list false false true false) (@list @t103 @t104 @t91 @t90))) % 151.52/151.81 (step @p141 :rule refl :args (@t105)) % 151.52/151.81 (step @p142 :rule bool-double-not-elim :args (@t88)) % 151.52/151.81 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or (not @t106) @t105))) % 151.52/151.81 (assume-push @p187 @t106) % 151.52/151.81 (step @p145 :rule skolemize :premises (@p187)) % 151.52/151.81 (step-pop @p188 :rule scope :premises (@p145)) % 151.52/151.81 (step @p146 :rule process_scope :premises (@p188) :args (@t105)) % 151.52/151.81 (step @p148 :rule implies_elim :premises (@p146)) % 151.52/151.81 (step @p149 :rule eq_resolve :premises (@p148 @p143)) % 151.52/151.81 (step @p150 :rule chain_m_resolution :premises (@p149 @p140) :args (@t88 (@list false) (@list @t93))) % 151.52/151.81 (step @p151 :rule cnf_or_pos :args (@t107)) % 151.52/151.81 (step @p152 :rule reordering :premises (@p151) :args ((or @t97 @t106 (not @t107)))) % 151.52/151.81 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p118) :args (@t97 (@list false false) (@list @t88 @t107))) % 151.52/151.81 (step @p154 :rule cnf_or_neg :args (@t100 1)) % 151.52/151.81 (step @p155 :rule chain_m_resolution :premises (@p154 @p127) :args ((not @t98) @t101 @t102)) % 151.52/151.81 (step @p156 :rule cnf_and_neg :args (@t98)) % 151.52/151.81 (step @p157 :rule chain_m_resolution :premises (@p156 @p155 @p153) :args ((not @t96) @t108 (@list @t98 @t97))) % 151.52/151.81 (step @p158 :rule cnf_or_pos :args (@t111)) % 151.52/151.81 (step @p159 :rule reordering :premises (@p158) :args ((or @t96 @t110 (not @t111)))) % 151.52/151.81 (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p116) :args (@t110 @t108 (@list @t96 @t111))) % 151.52/151.81 (step @p161 :rule refl :args (@t117)) % 151.52/151.81 (step @p162 :rule bool-double-not-elim :args (@t109)) % 151.52/151.81 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or (not @t110) @t117))) % 151.52/151.81 (assume-push @p189 @t110) % 151.52/151.81 (step @p165 :rule skolemize :premises (@p189)) % 151.52/151.81 (step-pop @p190 :rule scope :premises (@p165)) % 151.52/151.81 (step @p166 :rule process_scope :premises (@p190) :args (@t117)) % 151.52/151.81 (step @p168 :rule implies_elim :premises (@p166)) % 151.52/151.81 (step @p169 :rule eq_resolve :premises (@p168 @p163)) % 151.52/151.81 (step @p170 :rule chain_m_resolution :premises (@p169 @p160) :args (@t117 @t101 (@list @t109))) % 151.52/151.81 (step @p171 :rule bool-double-not-elim :args (@t114)) % 151.52/151.81 (step @p172 :rule refl :args (@t116)) % 151.52/151.81 (step @p173 :rule nary_cong :premises (@p172 @p171) :args ((or @t116 (not @t115)))) % 151.52/151.81 (step @p174 :rule cnf_or_neg :args (@t116 0)) % 151.52/151.81 (step @p175 :rule eq_resolve :premises (@p174 @p173)) % 151.52/151.81 (step @p176 :rule reordering :premises (@p175) :args ((or @t114 @t116))) % 151.52/151.81 (step @p177 :rule chain_m_resolution :premises (@p176 @p170) :args (@t114 @t101 @t118)) % 151.52/151.81 (step @p178 :rule cnf_or_neg :args (@t116 1)) % 151.52/151.81 (step @p179 :rule chain_m_resolution :premises (@p178 @p170) :args ((not @t113) @t101 @t118)) % 151.52/151.81 (step @p180 :rule cnf_and_pos :args (@t119 1)) % 151.52/151.81 (step @p181 :rule reordering :premises (@p180) :args ((or @t113 @t120))) % 151.52/151.81 (step @p182 :rule chain_m_resolution :premises (@p181 @p179) :args (@t120 @t101 (@list @t113))) % 151.52/151.81 (step @p183 :rule instantiate :premises (@p134) :args ((@list @t112))) % 151.52/151.81 (step @p184 :rule cnf_or_pos :args (@t121)) % 151.52/151.81 (step @p185 :rule reordering :premises (@p184) :args ((or @t115 @t119 (not @t121)))) % 151.52/151.81 (step @p186 false :rule chain_m_resolution :premises (@p185 @p183 @p182 @p177) :args (false (@list false true false) (@list @t121 @t119 @t114))) % 151.52/151.81 ) % 151.52/151.81 % SZS output end Proof % 151.52/151.81 % cvc5 exiting %------------------------------------------------------------------------------