%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU692^2 : 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 : n001.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 08:52:45 AM UTC 2026 % Result : Theorem 0.31s 0.54s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU692^2 : TPTP v9.2.1. Released v3.7.0. % 0.14/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:47:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.48 %----Proving TH0 % 0.31/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.54 % SZS status Theorem % 0.31/0.54 % SZS output start Proof % 0.31/0.54 ( % 0.31/0.54 (declare-sort $$unsorted 0) % 0.31/0.54 (declare-const tptp.funcext Bool) % 0.31/0.54 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.54 (declare-const tptp.infuncsetfunc Bool) % 0.31/0.54 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.31/0.54 (declare-const tptp.funcSet (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.54 (declare-const tptp.func (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.54 (define @t1 () (@var "Xf" $$unsorted)) % 0.31/0.54 (define @t2 () (@var "B" $$unsorted)) % 0.31/0.54 (define @t3 () (@var "A" $$unsorted)) % 0.31/0.54 (define @t4 () (_ (_ tptp.func @t3) @t2)) % 0.31/0.54 (define @t5 () (_ @t4 @t1)) % 0.31/0.54 (define @t6 () (_ (_ tptp.funcSet @t3) @t2)) % 0.31/0.54 (define @t7 () (_ tptp.in @t1)) % 0.31/0.54 (define @t8 () (_ @t7 @t6)) % 0.31/0.54 (define @t9 () (@list @t3 @t2 @t1)) % 0.31/0.54 (define @t10 () (forall @t9 (=> @t8 @t5))) % 0.31/0.54 (define @t11 () (= tptp.infuncsetfunc @t10)) % 0.31/0.54 (define @t12 () (@var "Xg" $$unsorted)) % 0.31/0.54 (define @t13 () (= @t1 @t12)) % 0.31/0.54 (define @t14 () (@var "Xx" $$unsorted)) % 0.31/0.54 (define @t15 () (_ (_ tptp.ap @t3) @t2)) % 0.31/0.54 (define @t16 () (_ (_ @t15 @t12) @t14)) % 0.31/0.54 (define @t17 () (_ (_ @t15 @t1) @t14)) % 0.31/0.54 (define @t18 () (= @t17 @t16)) % 0.31/0.54 (define @t19 () (_ (_ tptp.in @t14) @t3)) % 0.31/0.54 (define @t20 () (@list @t14)) % 0.31/0.54 (define @t21 () (forall @t20 (=> @t19 @t18))) % 0.31/0.54 (define @t22 () (=> @t21 @t13)) % 0.31/0.54 (define @t23 () (_ @t4 @t12)) % 0.31/0.54 (define @t24 () (=> @t23 @t22)) % 0.31/0.54 (define @t25 () (@list @t12)) % 0.31/0.54 (define @t26 () (forall @t25 @t24)) % 0.31/0.54 (define @t27 () (=> @t5 @t26)) % 0.31/0.54 (define @t28 () (forall @t9 @t27)) % 0.31/0.54 (define @t29 () (= tptp.funcext @t28)) % 0.31/0.54 (define @t30 () (_ tptp.in @t12)) % 0.31/0.54 (define @t31 () (_ @t30 @t6)) % 0.31/0.54 (define @t32 () (=> @t31 @t22)) % 0.31/0.54 (define @t33 () (forall @t25 @t32)) % 0.31/0.54 (define @t34 () (=> @t8 @t33)) % 0.31/0.54 (define @t35 () (forall @t9 @t34)) % 0.31/0.54 (define @t36 () (=> tptp.funcext @t35)) % 0.31/0.54 (define @t37 () (=> tptp.infuncsetfunc @t36)) % 0.31/0.54 (define @t38 () (not @t37)) % 0.31/0.54 (define @t39 () (@var "BOUND_VARIABLE_7541" $$unsorted)) % 0.31/0.54 (define @t40 () (= @t1 @t39)) % 0.31/0.54 (define @t41 () (tptp.ap @t3 @t2 @t1 @t14)) % 0.31/0.54 (define @t42 () (tptp.in @t14 @t3)) % 0.31/0.54 (define @t43 () (not @t42)) % 0.31/0.54 (define @t44 () (not (forall @t20 (or @t43 (= @t41 (tptp.ap @t3 @t2 @t39 @t14)))))) % 0.31/0.54 (define @t45 () (tptp.funcSet @t3 @t2)) % 0.31/0.54 (define @t46 () (not (tptp.in @t39 @t45))) % 0.31/0.54 (define @t47 () (tptp.in @t1 @t45)) % 0.31/0.54 (define @t48 () (not @t47)) % 0.31/0.54 (define @t49 () (or @t48 @t46 @t44 @t40)) % 0.31/0.54 (define @t50 () (@list @t3 @t2 @t1 @t39)) % 0.31/0.54 (define @t51 () (forall @t50 @t49)) % 0.31/0.54 (define @t52 () (@var "BOUND_VARIABLE_7507" $$unsorted)) % 0.31/0.54 (define @t53 () (= @t1 @t52)) % 0.31/0.54 (define @t54 () (not (forall @t20 (or @t43 (= @t41 (tptp.ap @t3 @t2 @t52 @t14)))))) % 0.31/0.54 (define @t55 () (not (tptp.func @t3 @t2 @t52))) % 0.31/0.54 (define @t56 () (tptp.func @t3 @t2 @t1)) % 0.31/0.54 (define @t57 () (not @t56)) % 0.31/0.54 (define @t58 () (or @t57 @t55 @t54 @t53)) % 0.31/0.54 (define @t59 () (or @t55 @t54 @t53)) % 0.31/0.54 (define @t60 () (or @t57 @t59)) % 0.31/0.54 (define @t61 () (@list @t3 @t2 @t1 @t52)) % 0.31/0.54 (define @t62 () (forall @t61 @t60)) % 0.31/0.54 (define @t63 () (@list @t52)) % 0.31/0.54 (define @t64 () (forall @t63 @t60)) % 0.31/0.54 (define @t65 () (forall @t63 @t59)) % 0.31/0.54 (define @t66 () (@list @t12)) % 0.31/0.54 (define @t67 () (or @t57 @t65)) % 0.31/0.54 (define @t68 () (tptp.ap @t3 @t2 @t12 @t14)) % 0.31/0.54 (define @t69 () (forall @t20 (or @t43 (= @t41 @t68)))) % 0.31/0.54 (define @t70 () (not @t69)) % 0.31/0.54 (define @t71 () (tptp.func @t3 @t2 @t12)) % 0.31/0.54 (define @t72 () (forall @t25 (or (not @t71) @t70 @t13))) % 0.31/0.54 (define @t73 () (not @t5)) % 0.31/0.54 (define @t74 () (or @t73 @t72)) % 0.31/0.54 (define @t75 () (not @t23)) % 0.31/0.54 (define @t76 () (or @t75 @t70 @t13)) % 0.31/0.54 (define @t77 () (or @t70 @t13)) % 0.31/0.54 (define @t78 () (=> @t69 @t13)) % 0.31/0.54 (define @t79 () (not @t19)) % 0.31/0.54 (define @t80 () (or @t79 @t18)) % 0.31/0.54 (define @t81 () (=> tptp.funcext @t51)) % 0.31/0.54 (define @t82 () (not @t8)) % 0.31/0.54 (define @t83 () (or @t82 @t5)) % 0.31/0.54 (define @t84 () (=> tptp.infuncsetfunc @t81)) % 0.31/0.54 (define @t85 () (or @t46 @t44 @t40)) % 0.31/0.54 (define @t86 () (or @t48 @t85)) % 0.31/0.54 (define @t87 () (forall @t50 @t86)) % 0.31/0.54 (define @t88 () (@list @t39)) % 0.31/0.54 (define @t89 () (forall @t88 @t86)) % 0.31/0.54 (define @t90 () (forall @t88 @t85)) % 0.31/0.54 (define @t91 () (or @t48 @t90)) % 0.31/0.54 (define @t92 () (tptp.in @t12 @t45)) % 0.31/0.54 (define @t93 () (forall @t25 (or (not @t92) @t70 @t13))) % 0.31/0.54 (define @t94 () (or @t82 @t93)) % 0.31/0.54 (define @t95 () (not @t31)) % 0.31/0.54 (define @t96 () (or @t95 @t70 @t13)) % 0.31/0.54 (define @t97 () (@quantifiers_skolemize @t51 3)) % 0.31/0.54 (define @t98 () (@quantifiers_skolemize @t51 1)) % 0.31/0.54 (define @t99 () (@quantifiers_skolemize @t51 0)) % 0.31/0.54 (define @t100 () (tptp.funcSet @t99 @t98)) % 0.31/0.54 (define @t101 () (tptp.in @t97 @t100)) % 0.31/0.54 (define @t102 () (@quantifiers_skolemize @t51 2)) % 0.31/0.54 (define @t103 () (= @t102 @t97)) % 0.31/0.54 (define @t104 () (forall @t20 (or (not (tptp.in @t14 @t99)) (= (tptp.ap @t99 @t98 @t102 @t14) (tptp.ap @t99 @t98 @t97 @t14))))) % 0.31/0.54 (define @t105 () (not @t104)) % 0.31/0.54 (define @t106 () (not @t101)) % 0.31/0.54 (define @t107 () (tptp.in @t102 @t100)) % 0.31/0.54 (define @t108 () (not @t107)) % 0.31/0.54 (define @t109 () (or @t108 @t106 @t105 @t103)) % 0.31/0.54 (define @t110 () (@list true)) % 0.31/0.54 (define @t111 () (@list @t109)) % 0.31/0.54 (define @t112 () (tptp.func @t99 @t98 @t97)) % 0.31/0.54 (define @t113 () (or @t106 @t112)) % 0.31/0.54 (define @t114 () (@list false false)) % 0.31/0.54 (define @t115 () (tptp.func @t99 @t98 @t102)) % 0.31/0.54 (define @t116 () (or @t108 @t115)) % 0.31/0.54 (define @t117 () (not @t112)) % 0.31/0.54 (define @t118 () (not @t115)) % 0.31/0.54 (define @t119 () (or @t118 @t117 @t105 @t103)) % 0.31/0.54 (define @t120 () (not @t119)) % 0.31/0.54 (define @t121 () (forall @t61 @t58)) % 0.31/0.54 (assume @p1 @t11) % 0.31/0.54 (assume @p2 @t29) % 0.31/0.54 (assume @p3 @t38) % 0.31/0.54 (assume @p4 true) % 0.31/0.54 (step @p5 :rule refl :args (@t51)) % 0.31/0.54 (step @p6 :rule aci_norm :args ((= @t60 @t58))) % 0.31/0.54 (step @p7 :rule cong :premises (@p6) :args (@t62)) % 0.31/0.54 (step @p8 :rule quant-merge-prenex :args ((= (forall @t9 @t64) @t62))) % 0.31/0.54 (step @p9 :rule alpha_equiv :args (@t65 (@list @t52) @t66)) % 0.31/0.54 (step @p10 :rule refl :args (@t57)) % 0.31/0.54 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t67)) % 0.31/0.54 (step @p12 :rule quant-miniscope-or :args ((= @t64 @t67))) % 0.31/0.54 (step @p13 :rule trans :premises (@p12 @p11)) % 0.31/0.54 (step @p14 :rule symm :premises (@p13)) % 0.31/0.54 (step @p15 :rule cong :premises (@p14) :args ((forall @t9 (or @t57 @t72)))) % 0.31/0.54 (step @p16 :rule trans :premises (@p15 @p8)) % 0.31/0.54 (step @p17 :rule trans :premises (@p16 @p7)) % 0.31/0.54 (step @p18 :rule refl :args (@t72)) % 0.31/0.54 (step @p19 :rule refl :args (@t56)) % 0.31/0.54 (step @p20 :rule refl :args (@t5)) % 0.31/0.54 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t5 @t56))) % 0.31/0.54 (step @p22 :rule symm :premises (@p21)) % 0.31/0.54 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.31/0.54 (step @p24 :rule cong :premises (@p23) :args (@t73)) % 0.31/0.54 (step @p25 :rule nary_cong :premises (@p24 @p18) :args (@t74)) % 0.31/0.54 (step @p26 :rule cong :premises (@p25) :args ((forall @t9 @t74))) % 0.31/0.54 (step @p27 :rule trans :premises (@p26 @p17)) % 0.31/0.54 (step @p28 :rule bool-impl-elim :args (@t5 @t72)) % 0.31/0.54 (step @p29 :rule cong :premises (@p28) :args ((forall @t9 (=> @t5 @t72)))) % 0.31/0.54 (step @p30 :rule trans :premises (@p29 @p27)) % 0.31/0.54 (step @p31 :rule refl :args (@t13)) % 0.31/0.54 (step @p32 :rule refl :args (@t70)) % 0.31/0.54 (step @p33 :rule refl :args (@t71)) % 0.31/0.54 (step @p34 :rule refl :args (@t23)) % 0.31/0.54 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t23 @t71))) % 0.31/0.54 (step @p36 :rule symm :premises (@p35)) % 0.31/0.54 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.31/0.54 (step @p38 :rule cong :premises (@p37) :args (@t75)) % 0.31/0.54 (step @p39 :rule nary_cong :premises (@p38 @p32 @p31) :args (@t76)) % 0.31/0.54 (step @p40 :rule cong :premises (@p39) :args ((forall @t25 @t76))) % 0.31/0.54 (step @p41 :rule aci_norm :args ((= (or @t75 @t77) @t76))) % 0.31/0.54 (step @p42 :rule bool-impl-elim :args (@t69 @t13)) % 0.31/0.54 (step @p43 :rule refl :args (@t75)) % 0.31/0.54 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t75 @t78))) % 0.31/0.54 (step @p45 :rule trans :premises (@p44 @p41)) % 0.31/0.54 (step @p46 :rule bool-impl-elim :args (@t23 @t78)) % 0.31/0.54 (step @p47 :rule trans :premises (@p46 @p45)) % 0.31/0.54 (step @p48 :rule cong :premises (@p47) :args ((forall @t25 (=> @t23 @t78)))) % 0.31/0.54 (step @p49 :rule trans :premises (@p48 @p40)) % 0.31/0.54 (step @p50 :rule refl :args (@t13)) % 0.31/0.54 (step @p51 :rule refl :args (@t68)) % 0.31/0.54 (step @p52 :rule refl :args (@t16)) % 0.31/0.54 (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t16 @t68))) % 0.31/0.54 (step @p54 :rule symm :premises (@p53)) % 0.31/0.54 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.31/0.54 (step @p56 :rule refl :args (@t41)) % 0.31/0.54 (step @p57 :rule refl :args (@t17)) % 0.31/0.54 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t17 @t41))) % 0.31/0.54 (step @p59 :rule symm :premises (@p58)) % 0.31/0.54 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 0.31/0.54 (step @p61 :rule cong :premises (@p60 @p55) :args (@t18)) % 0.31/0.54 (step @p62 :rule refl :args (@t42)) % 0.31/0.54 (step @p63 :rule refl :args (@t19)) % 0.31/0.54 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t19 @t42))) % 0.31/0.54 (step @p65 :rule symm :premises (@p64)) % 0.31/0.54 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 0.31/0.54 (step @p67 :rule cong :premises (@p66) :args (@t79)) % 0.31/0.54 (step @p68 :rule nary_cong :premises (@p67 @p61) :args (@t80)) % 0.31/0.54 (step @p69 :rule cong :premises (@p68) :args ((forall @t20 @t80))) % 0.31/0.54 (step @p70 :rule bool-impl-elim :args (@t19 @t18)) % 0.31/0.54 (step @p71 :rule cong :premises (@p70) :args (@t21)) % 0.31/0.54 (step @p72 :rule trans :premises (@p71 @p69)) % 0.31/0.54 (step @p73 :rule cong :premises (@p72 @p50) :args (@t22)) % 0.31/0.54 (step @p74 :rule refl :args (@t23)) % 0.31/0.54 (step @p75 :rule cong :premises (@p74 @p73) :args (@t24)) % 0.31/0.54 (step @p76 :rule cong :premises (@p75) :args (@t26)) % 0.31/0.54 (step @p77 :rule trans :premises (@p76 @p49)) % 0.31/0.54 (step @p78 :rule refl :args (@t5)) % 0.31/0.54 (step @p79 :rule cong :premises (@p78 @p77) :args (@t27)) % 0.31/0.54 (step @p80 :rule cong :premises (@p79) :args (@t28)) % 0.31/0.54 (step @p81 :rule trans :premises (@p80 @p30)) % 0.31/0.54 (step @p82 :rule refl :args (tptp.funcext)) % 0.31/0.54 (step @p83 :rule cong :premises (@p82 @p81) :args (@t29)) % 0.31/0.54 (step @p84 :rule eq_resolve :premises (@p2 @p83)) % 0.31/0.54 (step @p85 :rule cong :premises (@p84 @p5) :args (@t81)) % 0.31/0.54 (step @p86 :rule refl :args ((tptp.in @t1 @t6))) % 0.31/0.54 (step @p87 :rule refl :args (@t45)) % 0.31/0.54 (step @p88 :rule refl :args (@t1)) % 0.31/0.54 (step @p89 :rule cong :premises (@p88 @p87) :args (@t47)) % 0.31/0.54 (step @p90 :rule trans :premises (@p89 @p86)) % 0.31/0.54 (step @p91 :rule refl :args (@t7)) % 0.31/0.54 (step @p92 :rule ho_cong :premises (@p91 @p87)) % 0.31/0.54 (step @p93 :rule cong :premises (@p92 @p90) :args ((= (_ @t7 @t45) @t47))) % 0.31/0.54 (step @p94 :rule symm :premises (@p93)) % 0.31/0.54 (step @p95 :rule refl :args (@t8)) % 0.31/0.54 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 0.31/0.54 (step @p97 :rule refl :args (@t6)) % 0.31/0.54 (step @p98 :rule cong :premises (@p97 @p87) :args ((= @t6 @t45))) % 0.31/0.54 (step @p99 :rule symm :premises (@p98)) % 0.31/0.54 (step @p100 :rule eq_resolve :premises (@p97 @p99)) % 0.31/0.54 (step @p101 :rule ho_cong :premises (@p91 @p100)) % 0.31/0.54 (step @p102 :rule trans :premises (@p101 @p96)) % 0.31/0.54 (step @p103 :rule cong :premises (@p102) :args (@t82)) % 0.31/0.54 (step @p104 :rule nary_cong :premises (@p103 @p23) :args (@t83)) % 0.31/0.54 (step @p105 :rule cong :premises (@p104) :args ((forall @t9 @t83))) % 0.31/0.54 (step @p106 :rule bool-impl-elim :args (@t8 @t5)) % 0.31/0.54 (step @p107 :rule cong :premises (@p106) :args (@t10)) % 0.31/0.54 (step @p108 :rule trans :premises (@p107 @p105)) % 0.31/0.54 (step @p109 :rule refl :args (tptp.infuncsetfunc)) % 0.31/0.54 (step @p110 :rule cong :premises (@p109 @p108) :args (@t11)) % 0.31/0.54 (step @p111 :rule eq_resolve :premises (@p1 @p110)) % 0.31/0.54 (step @p112 :rule cong :premises (@p111 @p85) :args (@t84)) % 0.31/0.54 (step @p113 :rule cong :premises (@p112) :args ((not @t84))) % 0.31/0.54 (step @p114 :rule aci_norm :args ((= @t86 @t49))) % 0.31/0.54 (step @p115 :rule cong :premises (@p114) :args (@t87)) % 0.31/0.54 (step @p116 :rule quant-merge-prenex :args ((= (forall @t9 @t89) @t87))) % 0.31/0.54 (step @p117 :rule alpha_equiv :args (@t90 (@list @t39) @t66)) % 0.31/0.54 (step @p118 :rule refl :args (@t48)) % 0.31/0.54 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t91)) % 0.31/0.54 (step @p120 :rule quant-miniscope-or :args ((= @t89 @t91))) % 0.31/0.54 (step @p121 :rule trans :premises (@p120 @p119)) % 0.31/0.54 (step @p122 :rule symm :premises (@p121)) % 0.31/0.54 (step @p123 :rule cong :premises (@p122) :args ((forall @t9 (or @t48 @t93)))) % 0.31/0.54 (step @p124 :rule trans :premises (@p123 @p116)) % 0.31/0.54 (step @p125 :rule trans :premises (@p124 @p115)) % 0.31/0.54 (step @p126 :rule refl :args (@t93)) % 0.31/0.54 (step @p127 :rule nary_cong :premises (@p103 @p126) :args (@t94)) % 0.31/0.54 (step @p128 :rule cong :premises (@p127) :args ((forall @t9 @t94))) % 0.31/0.54 (step @p129 :rule trans :premises (@p128 @p125)) % 0.31/0.54 (step @p130 :rule bool-impl-elim :args (@t8 @t93)) % 0.31/0.54 (step @p131 :rule cong :premises (@p130) :args ((forall @t9 (=> @t8 @t93)))) % 0.31/0.54 (step @p132 :rule trans :premises (@p131 @p129)) % 0.31/0.54 (step @p133 :rule refl :args ((tptp.in @t12 @t6))) % 0.31/0.54 (step @p134 :rule refl :args (@t12)) % 0.31/0.54 (step @p135 :rule cong :premises (@p134 @p87) :args (@t92)) % 0.31/0.54 (step @p136 :rule trans :premises (@p135 @p133)) % 0.31/0.54 (step @p137 :rule refl :args (@t30)) % 0.31/0.54 (step @p138 :rule ho_cong :premises (@p137 @p87)) % 0.31/0.54 (step @p139 :rule cong :premises (@p138 @p136) :args ((= (_ @t30 @t45) @t92))) % 0.31/0.54 (step @p140 :rule symm :premises (@p139)) % 0.31/0.54 (step @p141 :rule refl :args (@t31)) % 0.31/0.54 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 0.31/0.54 (step @p143 :rule ho_cong :premises (@p137 @p100)) % 0.31/0.54 (step @p144 :rule trans :premises (@p143 @p142)) % 0.31/0.54 (step @p145 :rule cong :premises (@p144) :args (@t95)) % 0.31/0.54 (step @p146 :rule nary_cong :premises (@p145 @p32 @p31) :args (@t96)) % 0.31/0.54 (step @p147 :rule cong :premises (@p146) :args ((forall @t25 @t96))) % 0.31/0.54 (step @p148 :rule aci_norm :args ((= (or @t95 @t77) @t96))) % 0.31/0.54 (step @p149 :rule refl :args (@t95)) % 0.31/0.54 (step @p150 :rule nary_cong :premises (@p149 @p42) :args ((or @t95 @t78))) % 0.31/0.54 (step @p151 :rule trans :premises (@p150 @p148)) % 0.31/0.54 (step @p152 :rule bool-impl-elim :args (@t31 @t78)) % 0.31/0.54 (step @p153 :rule trans :premises (@p152 @p151)) % 0.31/0.54 (step @p154 :rule cong :premises (@p153) :args ((forall @t25 (=> @t31 @t78)))) % 0.31/0.54 (step @p155 :rule trans :premises (@p154 @p147)) % 0.31/0.54 (step @p156 :rule refl :args (@t31)) % 0.31/0.54 (step @p157 :rule cong :premises (@p156 @p73) :args (@t32)) % 0.31/0.54 (step @p158 :rule cong :premises (@p157) :args (@t33)) % 0.31/0.54 (step @p159 :rule trans :premises (@p158 @p155)) % 0.31/0.54 (step @p160 :rule refl :args (@t8)) % 0.31/0.54 (step @p161 :rule cong :premises (@p160 @p159) :args (@t34)) % 0.31/0.54 (step @p162 :rule cong :premises (@p161) :args (@t35)) % 0.31/0.54 (step @p163 :rule trans :premises (@p162 @p132)) % 0.31/0.54 (step @p164 :rule cong :premises (@p82 @p163) :args (@t36)) % 0.31/0.54 (step @p165 :rule cong :premises (@p109 @p164) :args (@t37)) % 0.31/0.54 (step @p166 :rule cong :premises (@p165) :args (@t38)) % 0.31/0.54 (step @p167 :rule trans :premises (@p166 @p113)) % 0.31/0.54 (step @p168 :rule eq_resolve :premises (@p3 @p167)) % 0.31/0.54 (step @p169 :rule not_implies_elim2 :premises (@p168)) % 0.31/0.54 (step @p170 :rule not_implies_elim1 :premises (@p169)) % 0.31/0.54 (step @p171 :rule not_implies_elim1 :premises (@p168)) % 0.31/0.54 (step @p172 :rule instantiate :premises (@p171) :args ((@list @t99 @t98 @t97))) % 0.31/0.54 (step @p173 :rule not_implies_elim2 :premises (@p169)) % 0.31/0.54 (step @p174 :rule skolemize :premises (@p173)) % 0.31/0.54 (step @p175 :rule bool-double-not-elim :args (@t101)) % 0.31/0.54 (step @p176 :rule refl :args (@t109)) % 0.31/0.54 (step @p177 :rule nary_cong :premises (@p176 @p175) :args ((or @t109 (not @t106)))) % 0.31/0.54 (step @p178 :rule cnf_or_neg :args (@t109 1)) % 0.31/0.54 (step @p179 :rule eq_resolve :premises (@p178 @p177)) % 0.31/0.54 (step @p180 :rule reordering :premises (@p179) :args ((or @t101 @t109))) % 0.31/0.54 (step @p181 :rule chain_m_resolution :premises (@p180 @p174) :args (@t101 @t110 @t111)) % 0.31/0.54 (step @p182 :rule cnf_or_pos :args (@t113)) % 0.31/0.54 (step @p183 :rule reordering :premises (@p182) :args ((or @t106 @t112 (not @t113)))) % 0.31/0.54 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p172) :args (@t112 @t114 (@list @t101 @t113))) % 0.31/0.54 (step @p185 :rule instantiate :premises (@p171) :args ((@list @t99 @t98 @t102))) % 0.31/0.54 (step @p186 :rule bool-double-not-elim :args (@t107)) % 0.31/0.54 (step @p187 :rule nary_cong :premises (@p176 @p186) :args ((or @t109 (not @t108)))) % 0.31/0.54 (step @p188 :rule cnf_or_neg :args (@t109 0)) % 0.31/0.54 (step @p189 :rule eq_resolve :premises (@p188 @p187)) % 0.31/0.54 (step @p190 :rule reordering :premises (@p189) :args ((or @t107 @t109))) % 0.31/0.54 (step @p191 :rule chain_m_resolution :premises (@p190 @p174) :args (@t107 @t110 @t111)) % 0.31/0.54 (step @p192 :rule cnf_or_pos :args (@t116)) % 0.31/0.54 (step @p193 :rule reordering :premises (@p192) :args ((or @t108 @t115 (not @t116)))) % 0.31/0.54 (step @p194 :rule chain_m_resolution :premises (@p193 @p191 @p185) :args (@t115 @t114 (@list @t107 @t116))) % 0.31/0.54 (step @p195 :rule cnf_or_neg :args (@t109 3)) % 0.31/0.54 (step @p196 :rule chain_m_resolution :premises (@p195 @p174) :args ((not @t103) @t110 @t111)) % 0.31/0.54 (step @p197 :rule bool-double-not-elim :args (@t104)) % 0.31/0.54 (step @p198 :rule nary_cong :premises (@p176 @p197) :args ((or @t109 (not @t105)))) % 0.31/0.54 (step @p199 :rule cnf_or_neg :args (@t109 2)) % 0.31/0.54 (step @p200 :rule eq_resolve :premises (@p199 @p198)) % 0.31/0.54 (step @p201 :rule reordering :premises (@p200) :args ((or @t104 @t109))) % 0.31/0.54 (step @p202 :rule chain_m_resolution :premises (@p201 @p174) :args (@t104 @t110 @t111)) % 0.31/0.54 (step @p203 :rule cnf_or_pos :args (@t119)) % 0.31/0.54 (step @p204 :rule reordering :premises (@p203) :args ((or @t105 @t103 @t118 @t117 @t120))) % 0.31/0.54 (step @p205 :rule chain_m_resolution :premises (@p204 @p202 @p196 @p194 @p184) :args (@t120 (@list false true false false) (@list @t104 @t103 @t115 @t112))) % 0.31/0.54 (assume-push @p212 @t121) % 0.31/0.54 (step @p207 :rule instantiate :premises (@p170) :args ((@list @t99 @t98 @t102 @t97))) % 0.31/0.54 (step-pop @p213 :rule scope :premises (@p207)) % 0.31/0.54 (step @p208 :rule process_scope :premises (@p213) :args (@t119)) % 0.31/0.54 (step @p210 :rule implies_elim :premises (@p208)) % 0.31/0.54 (step @p211 false :rule chain_m_resolution :premises (@p210 @p205 @p170) :args (false (@list true false) (@list @t119 @t121))) % 0.31/0.54 ) % 0.31/0.54 % SZS output end Proof % 0.31/0.54 % cvc5 exiting %------------------------------------------------------------------------------