%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV428^1 : TPTP v9.2.1. Released v5.2.0. % 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 08:55:57 AM UTC 2026 % Result : Theorem 0.36s 0.62s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV428^1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.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 18:32:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.36/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.62 % SZS status Theorem % 0.36/0.62 % SZS output start Proof % 0.36/0.62 ( % 0.36/0.62 (declare-sort $$unsorted 0) % 0.36/0.62 (declare-const tptp.eps (-> (-> $$unsorted Bool) $$unsorted)) % 0.36/0.62 (declare-const tptp.epsio (-> (-> (-> $$unsorted Bool) Bool) $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.c (-> (-> $$unsorted Bool) Bool)) % 0.36/0.62 (declare-const tptp.a $$unsorted) % 0.36/0.62 (define tptp.setunion () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "C" (-> (-> $$unsorted Bool) Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (and (_ _let_3 _let_2) (_ _let_2 _let_1)))))))) % 0.36/0.62 (define tptp.choosenonempty () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "C" (-> (-> $$unsorted Bool) Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.epsio (lambda (@list _let_2) (and (_ _let_3 _let_2) (_ _let_2 (_ tptp.eps _let_2))))) _let_1)))))) % 0.36/0.62 (define @t1 () (@var "P" (-> $$unsorted Bool))) % 0.36/0.62 (define @t2 () (_ tptp.eps @t1)) % 0.36/0.62 (define @t3 () (_ @t1 @t2)) % 0.36/0.62 (define @t4 () (@var "X" $$unsorted)) % 0.36/0.62 (define @t5 () (_ @t1 @t4)) % 0.36/0.62 (define @t6 () (@list @t4)) % 0.36/0.62 (define @t7 () (exists @t6 @t5)) % 0.36/0.62 (define @t8 () (=> @t7 @t3)) % 0.36/0.62 (define @t9 () (@list @t1)) % 0.36/0.62 (define @t10 () (forall @t9 @t8)) % 0.36/0.62 (define @t11 () (@var "P" (-> (-> $$unsorted Bool) Bool))) % 0.36/0.62 (define @t12 () (_ tptp.epsio @t11)) % 0.36/0.62 (define @t13 () (_ @t11 @t12)) % 0.36/0.62 (define @t14 () (@var "X" (-> $$unsorted Bool))) % 0.36/0.62 (define @t15 () (_ @t11 @t14)) % 0.36/0.62 (define @t16 () (@list @t14)) % 0.36/0.62 (define @t17 () (exists @t16 @t15)) % 0.36/0.62 (define @t18 () (=> @t17 @t13)) % 0.36/0.62 (define @t19 () (@list @t11)) % 0.36/0.62 (define @t20 () (forall @t19 @t18)) % 0.36/0.62 (define @t21 () (_ tptp.choosenonempty tptp.c)) % 0.36/0.62 (define @t22 () (exists @t6 (_ @t21 @t4))) % 0.36/0.62 (define @t23 () (and (_ tptp.c @t21) @t22)) % 0.36/0.62 (define @t24 () (not @t23)) % 0.36/0.62 (define @t25 () (@var "Y" (-> $$unsorted Bool))) % 0.36/0.62 (define @t26 () (_ @t25 @t4)) % 0.36/0.62 (define @t27 () (@var "C" (-> (-> $$unsorted Bool) Bool))) % 0.36/0.62 (define @t28 () (_ @t27 @t25)) % 0.36/0.62 (define @t29 () (and @t28 @t26)) % 0.36/0.62 (define @t30 () (@list @t25)) % 0.36/0.62 (define @t31 () (exists @t30 @t29)) % 0.36/0.62 (define @t32 () (@list @t27 @t4)) % 0.36/0.62 (define @t33 () (lambda @t32 @t31)) % 0.36/0.62 (define @t34 () (@var "__flatten_var_0" $$unsorted)) % 0.36/0.62 (define @t35 () (_ tptp.eps @t25)) % 0.36/0.62 (define @t36 () (_ @t25 @t35)) % 0.36/0.62 (define @t37 () (lambda (@list @t27 @t34) (_ (_ tptp.epsio (lambda @t30 (and @t28 @t36))) @t34))) % 0.36/0.62 (define @t38 () (tptp.eps @t25)) % 0.36/0.62 (define @t39 () (_ @t25 @t38)) % 0.36/0.62 (define @t40 () (tptp.c @t25)) % 0.36/0.62 (define @t41 () (and @t40 @t39)) % 0.36/0.62 (define @t42 () (lambda @t30 @t41)) % 0.36/0.62 (define @t43 () (@purify @t42)) % 0.36/0.62 (define @t44 () (_ @t43 @t25)) % 0.36/0.62 (define @t45 () (_ @t42 @t25)) % 0.36/0.62 (define @t46 () (= @t44 @t45)) % 0.36/0.62 (define @t47 () (forall @t30 @t46)) % 0.36/0.62 (define @t48 () (_ tptp.epsio @t43)) % 0.36/0.62 (define @t49 () (_ tptp.eps @t48)) % 0.36/0.62 (define @t50 () (tptp.eps @t48)) % 0.36/0.62 (define @t51 () (tptp.epsio @t43 @t50)) % 0.36/0.62 (define @t52 () (_ @t48 @t50)) % 0.36/0.62 (define @t53 () (tptp.c @t48)) % 0.36/0.62 (define @t54 () (and @t53 @t52)) % 0.36/0.62 (define @t55 () (_ @t43 @t48)) % 0.36/0.62 (define @t56 () (= @t55 @t54)) % 0.36/0.62 (define @t57 () (forall @t30 (= @t41 @t44))) % 0.36/0.62 (define @t58 () (_ @t48 @t50)) % 0.36/0.62 (define @t59 () (and @t53 @t58)) % 0.36/0.62 (define @t60 () (= @t59 @t55)) % 0.36/0.62 (define @t61 () (and @t53 @t51)) % 0.36/0.62 (define @t62 () (= @t55 @t61)) % 0.36/0.62 (define @t63 () (@list false)) % 0.36/0.62 (define @t64 () (_ @t11 @t12)) % 0.36/0.62 (define @t65 () (@var "BOUND_VARIABLE_7525" (-> $$unsorted Bool))) % 0.36/0.62 (define @t66 () (not (_ @t11 @t65))) % 0.36/0.62 (define @t67 () (or @t66 @t64)) % 0.36/0.62 (define @t68 () (@list @t65)) % 0.36/0.62 (define @t69 () (forall @t68 @t67)) % 0.36/0.62 (define @t70 () (forall @t68 @t66)) % 0.36/0.62 (define @t71 () (or @t70 @t64)) % 0.36/0.62 (define @t72 () (_ @t11 @t14)) % 0.36/0.62 (define @t73 () (forall @t16 (not @t72))) % 0.36/0.62 (define @t74 () (or @t73 @t13)) % 0.36/0.62 (define @t75 () (not @t73)) % 0.36/0.62 (define @t76 () (not @t15)) % 0.36/0.62 (define @t77 () (forall @t16 @t76)) % 0.36/0.62 (define @t78 () (not @t77)) % 0.36/0.62 (define @t79 () (not @t40)) % 0.36/0.62 (define @t80 () (forall @t30 (or @t79 (not (_ @t25 tptp.a))))) % 0.36/0.62 (define @t81 () (@quantifiers_skolemize @t80 0)) % 0.36/0.62 (define @t82 () (tptp.eps @t1)) % 0.36/0.62 (define @t83 () (_ @t1 @t82)) % 0.36/0.62 (define @t84 () (@var "BOUND_VARIABLE_7503" $$unsorted)) % 0.36/0.62 (define @t85 () (not (_ @t1 @t84))) % 0.36/0.62 (define @t86 () (or @t85 @t83)) % 0.36/0.62 (define @t87 () (@list @t84)) % 0.36/0.62 (define @t88 () (forall @t87 @t86)) % 0.36/0.62 (define @t89 () (forall @t87 @t85)) % 0.36/0.62 (define @t90 () (or @t89 @t83)) % 0.36/0.62 (define @t91 () (_ @t1 @t4)) % 0.36/0.62 (define @t92 () (forall @t6 (not @t91))) % 0.36/0.62 (define @t93 () (or @t92 @t3)) % 0.36/0.62 (define @t94 () (not @t92)) % 0.36/0.62 (define @t95 () (not @t5)) % 0.36/0.62 (define @t96 () (forall @t6 @t95)) % 0.36/0.62 (define @t97 () (not @t96)) % 0.36/0.62 (define @t98 () (_ @t25 @t4)) % 0.36/0.62 (define @t99 () (not @t98)) % 0.36/0.62 (define @t100 () (lambda @t6 (not (forall @t30 (or @t79 @t99))))) % 0.36/0.62 (define @t101 () (_ @t27 @t25)) % 0.36/0.62 (define @t102 () (not @t26)) % 0.36/0.62 (define @t103 () (not @t28)) % 0.36/0.62 (define @t104 () (or @t103 @t102)) % 0.36/0.62 (define @t105 () (forall @t30 (not @t29))) % 0.36/0.62 (define @t106 () (not @t105)) % 0.36/0.62 (define @t107 () (_ @t81 tptp.a)) % 0.36/0.62 (define @t108 () (not @t107)) % 0.36/0.62 (define @t109 () (tptp.c @t81)) % 0.36/0.62 (define @t110 () (not @t109)) % 0.36/0.62 (define @t111 () (or @t110 @t108)) % 0.36/0.62 (define @t112 () (@list true)) % 0.36/0.62 (define @t113 () (@list @t111)) % 0.36/0.62 (define @t114 () (_ @t81 (tptp.eps @t81))) % 0.36/0.62 (define @t115 () (or @t108 @t114)) % 0.36/0.62 (define @t116 () (@list false false)) % 0.36/0.62 (define @t117 () (and @t109 @t114)) % 0.36/0.62 (define @t118 () (_ @t43 @t81)) % 0.36/0.62 (define @t119 () (= @t117 @t118)) % 0.36/0.62 (define @t120 () (not @t118)) % 0.36/0.62 (define @t121 () (or @t120 @t55)) % 0.36/0.62 (define @t122 () (not @t61)) % 0.36/0.62 (define @t123 () (@list @t61)) % 0.36/0.62 (define @t124 () (tptp.epsio @t42 @t34)) % 0.36/0.62 (define @t125 () (_ tptp.c @t25)) % 0.36/0.62 (define @t126 () (and @t125 @t36)) % 0.36/0.62 (define @t127 () (lambda @t30 @t126)) % 0.36/0.62 (define @t128 () (_ tptp.epsio @t127)) % 0.36/0.62 (define @t129 () (_ @t128 @t34)) % 0.36/0.62 (define @t130 () (@list @t34)) % 0.36/0.62 (define @t131 () (lambda @t130 @t129)) % 0.36/0.62 (define @t132 () (@purify @t131)) % 0.36/0.62 (define @t133 () (_ @t132 @t34)) % 0.36/0.62 (define @t134 () (_ tptp.epsio @t42)) % 0.36/0.62 (define @t135 () (= @t129 @t133)) % 0.36/0.62 (define @t136 () (_ @t131 @t34)) % 0.36/0.62 (define @t137 () (= @t133 @t136)) % 0.36/0.62 (define @t138 () (forall @t130 @t137)) % 0.36/0.62 (define @t139 () (@const 0 $$unsorted)) % 0.36/0.62 (define @t140 () (tptp.epsio @t42 @t139)) % 0.36/0.62 (define @t141 () (_ @t132 @t139)) % 0.36/0.62 (define @t142 () (= @t141 @t140)) % 0.36/0.62 (define @t143 () (forall @t130 (= @t133 @t124))) % 0.36/0.62 (define @t144 () (= @t141 (tptp.epsio @t43 @t139))) % 0.36/0.62 (define @t145 () (= @t132 @t48)) % 0.36/0.62 (define @t146 () (tptp.eps @t132)) % 0.36/0.62 (define @t147 () (tptp.epsio @t43 @t146)) % 0.36/0.62 (define @t148 () (tptp.c @t132)) % 0.36/0.62 (define @t149 () (tptp.epsio @t42 @t4)) % 0.36/0.62 (define @t150 () (forall @t6 (not @t149))) % 0.36/0.62 (define @t151 () (not @t148)) % 0.36/0.62 (define @t152 () (not @t150)) % 0.36/0.62 (define @t153 () (_ tptp.c @t132)) % 0.36/0.62 (define @t154 () (and (_ tptp.c @t131) @t152)) % 0.36/0.62 (define @t155 () (_ @t128 @t4)) % 0.36/0.62 (define @t156 () (not @t155)) % 0.36/0.62 (define @t157 () (forall @t6 @t156)) % 0.36/0.62 (define @t158 () (not @t157)) % 0.36/0.62 (define @t159 () (_ @t37 tptp.c)) % 0.36/0.62 (define @t160 () (exists @t6 (_ @t159 @t4))) % 0.36/0.62 (define @t161 () (and (_ tptp.c @t159) @t160)) % 0.36/0.62 (define @t162 () (tptp.epsio @t42 @t146)) % 0.36/0.62 (define @t163 () (not @t162)) % 0.36/0.62 (assume @p1 @t10) % 0.36/0.62 (assume @p2 @t20) % 0.36/0.62 (assume @p3 (_ (_ tptp.setunion tptp.c) tptp.a)) % 0.36/0.62 (assume @p4 @t24) % 0.36/0.62 (assume @p5 true) % 0.36/0.62 (step @p6 (= tptp.setunion @t33) :rule refl :args (@t33)) % 0.36/0.62 (step @p7 (= tptp.choosenonempty @t37) :rule refl :args (@t37)) % 0.36/0.62 (step @p8 :rule eq-symm :args (@t44 @t41)) % 0.36/0.62 (step @p9 :rule beta-reduce :args ((= @t45 @t41))) % 0.36/0.62 (step @p10 :rule refl :args (@t44)) % 0.36/0.62 (step @p11 :rule cong :premises (@p10 @p9) :args (@t46)) % 0.36/0.62 (step @p12 :rule trans :premises (@p11 @p8)) % 0.36/0.62 (step @p13 :rule cong :premises (@p12) :args (@t47)) % 0.36/0.62 (step @p14 :rule quant-unused-vars :args ((= (forall @t30 true) true))) % 0.36/0.62 (step @p15 :rule eq-refl :args (@t45)) % 0.36/0.62 (step @p16 :rule cong :premises (@p15) :args ((forall @t30 (= @t45 @t45)))) % 0.36/0.62 (step @p17 :rule trans :premises (@p16 @p14)) % 0.36/0.62 (step @p18 :rule refl :args (@t45)) % 0.36/0.62 (step @p19 :rule refl :args (@t25)) % 0.36/0.62 (step @p20 :rule skolem_intro :args (@t43)) % 0.36/0.62 (step @p21 :rule ho_cong :premises (@p20 @p19)) % 0.36/0.62 (step @p22 :rule cong :premises (@p21 @p18) :args (@t46)) % 0.36/0.62 (step @p23 :rule cong :premises (@p22) :args (@t47)) % 0.36/0.62 (step @p24 :rule trans :premises (@p23 @p17)) % 0.36/0.62 (step @p25 :rule true_elim :premises (@p24)) % 0.36/0.62 (step @p26 :rule eq_resolve :premises (@p25 @p13)) % 0.36/0.62 (step @p27 :rule refl :args ((tptp.epsio @t43 @t49))) % 0.36/0.62 (step @p28 :rule refl :args (@t50)) % 0.36/0.62 (step @p29 :rule refl :args (@t43)) % 0.36/0.62 (step @p30 :rule cong :premises (@p29 @p28) :args (@t51)) % 0.36/0.62 (step @p31 :rule trans :premises (@p30 @p27)) % 0.36/0.62 (step @p32 :rule refl :args (@t48)) % 0.36/0.62 (step @p33 :rule ho_cong :premises (@p32 @p28)) % 0.36/0.62 (step @p34 :rule cong :premises (@p33 @p31) :args ((= @t52 @t51))) % 0.36/0.62 (step @p35 :rule symm :premises (@p34)) % 0.36/0.62 (step @p36 :rule refl :args ((_ @t48 @t49))) % 0.36/0.62 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.36/0.62 (step @p38 :rule refl :args (@t53)) % 0.36/0.62 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t54)) % 0.36/0.62 (step @p40 :rule refl :args (@t55)) % 0.36/0.62 (step @p41 :rule cong :premises (@p40 @p39) :args (@t56)) % 0.36/0.62 (step @p42 :rule refl :args (@t57)) % 0.36/0.62 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t57 @t56))) % 0.36/0.62 (step @p44 :rule refl :args ((_ @t48 @t49))) % 0.36/0.62 (step @p45 :rule cong :premises (@p28) :args (@t58)) % 0.36/0.62 (step @p46 :rule trans :premises (@p45 @p44)) % 0.36/0.62 (step @p47 :rule cong :premises (@p46 @p33) :args ((= @t58 @t52))) % 0.36/0.62 (step @p48 :rule symm :premises (@p47)) % 0.36/0.62 (step @p49 :rule eq_resolve :premises (@p36 @p48)) % 0.36/0.62 (step @p50 :rule nary_cong :premises (@p38 @p49) :args (@t59)) % 0.36/0.62 (step @p51 :rule cong :premises (@p40 @p50) :args ((= @t55 @t59))) % 0.36/0.62 (step @p52 :rule eq-symm :args (@t59 @t55)) % 0.36/0.62 (step @p53 :rule trans :premises (@p52 @p51)) % 0.36/0.62 (step @p54 :rule cong :premises (@p42 @p53) :args ((=> @t57 @t60))) % 0.36/0.62 (assume-push @p386 @t57) % 0.36/0.62 (step @p56 :rule instantiate :premises (@p26) :args ((@list @t48))) % 0.36/0.62 (step-pop @p387 :rule scope :premises (@p56)) % 0.36/0.62 (step @p57 :rule process_scope :premises (@p387) :args (@t60)) % 0.36/0.62 (step @p59 :rule eq_resolve :premises (@p57 @p54)) % 0.36/0.62 (step @p60 :rule eq_resolve :premises (@p59 @p43)) % 0.36/0.62 (step @p61 :rule implies_elim :premises (@p60)) % 0.36/0.62 (step @p62 :rule chain_m_resolution :premises (@p61 @p26) :args (@t62 @t63 (@list @t57))) % 0.36/0.62 (step @p63 :rule quant-merge-prenex :args ((= (forall @t19 @t69) (forall (@list @t11 @t65) @t67)))) % 0.36/0.62 (step @p64 :rule refl :args (@t64)) % 0.36/0.62 (step @p65 :rule alpha_equiv :args (@t70 (@list @t65) (@list @t14))) % 0.36/0.62 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t71)) % 0.36/0.62 (step @p67 :rule quant-miniscope-or :args ((= @t69 @t71))) % 0.36/0.62 (step @p68 :rule trans :premises (@p67 @p66)) % 0.36/0.62 (step @p69 :rule symm :premises (@p68)) % 0.36/0.62 (step @p70 :rule cong :premises (@p69) :args ((forall @t19 (or @t73 @t64)))) % 0.36/0.62 (step @p71 :rule trans :premises (@p70 @p63)) % 0.36/0.62 (step @p72 :rule refl :args (@t64)) % 0.36/0.62 (step @p73 :rule refl :args (@t13)) % 0.36/0.62 (step @p74 :rule cong :premises (@p73 @p72) :args ((= @t13 @t64))) % 0.36/0.62 (step @p75 :rule symm :premises (@p74)) % 0.36/0.62 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 0.36/0.62 (step @p77 :rule refl :args (@t73)) % 0.36/0.62 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t74)) % 0.36/0.62 (step @p79 :rule cong :premises (@p78) :args ((forall @t19 @t74))) % 0.36/0.62 (step @p80 :rule trans :premises (@p79 @p71)) % 0.36/0.62 (step @p81 :rule bool-double-not-elim :args (@t73)) % 0.36/0.62 (step @p82 :rule nary_cong :premises (@p81 @p73) :args ((or (not @t75) @t13))) % 0.36/0.62 (step @p83 :rule bool-impl-elim :args (@t75 @t13)) % 0.36/0.62 (step @p84 :rule trans :premises (@p83 @p82)) % 0.36/0.62 (step @p85 :rule cong :premises (@p84) :args ((forall @t19 (=> @t75 @t13)))) % 0.36/0.62 (step @p86 :rule trans :premises (@p85 @p80)) % 0.36/0.62 (step @p87 :rule refl :args (@t13)) % 0.36/0.62 (step 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(step @p338 :rule trans :premises (@p337 @p335)) % 0.45/0.63 (step @p339 :rule ho_cong :premises (@p235 @p336)) % 0.45/0.63 (step @p340 :rule cong :premises (@p339 @p338) :args ((= (_ @t134 @t4) @t149))) % 0.45/0.63 (step @p341 :rule symm :premises (@p340)) % 0.45/0.63 (step @p342 :rule refl :args (@t155)) % 0.45/0.63 (step @p343 :rule eq_resolve :premises (@p342 @p341)) % 0.45/0.63 (step @p344 :rule ho_cong :premises (@p259 @p336)) % 0.45/0.63 (step @p345 :rule trans :premises (@p344 @p343)) % 0.45/0.63 (step @p346 :rule cong :premises (@p345) :args (@t156)) % 0.45/0.63 (step @p347 :rule cong :premises (@p346) :args (@t157)) % 0.45/0.63 (step @p348 :rule cong :premises (@p347) :args (@t158)) % 0.45/0.63 (step @p349 :rule exists-elim :args ((= (exists @t6 @t155) @t158))) % 0.45/0.63 (step @p350 :rule trans :premises (@p349 @p348)) % 0.45/0.63 (step @p351 :rule beta-reduce :args ((= (_ @t131 @t4) @t155))) % 0.45/0.63 (step @p352 :rule refl :args (@t4)) % 0.45/0.63 (step @p353 :rule beta-reduce :args ((= @t159 @t131))) % 0.45/0.63 (step @p354 :rule ho_cong :premises (@p353 @p352)) % 0.45/0.63 (step @p355 :rule trans :premises (@p354 @p351)) % 0.45/0.63 (step @p356 :rule cong :premises (@p355) :args (@t160)) % 0.45/0.63 (step @p357 :rule trans :premises (@p356 @p350)) % 0.45/0.63 (step @p358 :rule ho_cong :premises (@p160 @p353)) % 0.45/0.63 (step @p359 :rule nary_cong :premises (@p358 @p357) :args (@t161)) % 0.45/0.63 (step @p360 :rule cong :premises (@p359) :args ((not @t161))) % 0.45/0.63 (step @p361 :rule ho_cong :premises (@p7 @p160)) % 0.45/0.63 (step @p362 :rule ho_cong :premises (@p361 @p352)) % 0.45/0.63 (step @p363 :rule cong :premises (@p362) :args (@t22)) % 0.45/0.63 (step @p364 :rule ho_cong :premises (@p160 @p361)) % 0.45/0.63 (step @p365 :rule nary_cong :premises (@p364 @p363) :args (@t23)) % 0.45/0.63 (step @p366 :rule cong :premises (@p365) :args (@t24)) % 0.45/0.63 (step @p367 :rule trans :premises (@p366 @p360)) % 0.45/0.63 (step @p368 :rule trans :premises (@p367 @p334)) % 0.45/0.63 (step @p369 :rule eq_resolve :premises (@p4 @p368)) % 0.45/0.63 (step @p370 :rule not_and :premises (@p369)) % 0.45/0.63 (step @p371 :rule eq_resolve :premises (@p370 @p319)) % 0.45/0.63 (step @p372 :rule reordering :premises (@p371) :args ((or @t150 @t151))) % 0.45/0.63 (step @p373 :rule chain_m_resolution :premises (@p372 @p316) :args (@t150 @t63 (@list @t148))) % 0.45/0.63 (step @p374 :rule refl :args (@t146)) % 0.45/0.63 (step @p375 :rule cong :premises (@p290 @p374) :args (@t162)) % 0.45/0.63 (step @p376 :rule cong :premises (@p375) :args (@t163)) % 0.45/0.63 (step @p377 :rule refl :args (@t150)) % 0.45/0.63 (step @p378 :rule cong :premises (@p377 @p376) :args ((=> @t150 @t163))) % 0.45/0.63 (assume-push @p390 @t150) % 0.45/0.63 (step @p380 :rule instantiate :premises (@p373) :args ((@list @t146))) % 0.45/0.63 (step-pop @p391 :rule scope :premises (@p380)) % 0.45/0.63 (step @p381 :rule process_scope :premises (@p391) :args (@t163)) % 0.45/0.63 (step @p383 :rule eq_resolve :premises (@p381 @p378)) % 0.45/0.63 (step @p384 :rule implies_elim :premises (@p383)) % 0.45/0.63 (step @p385 false :rule chain_m_resolution :premises (@p384 @p373 @p309) :args (false @t116 (@list @t150 @t147))) % 0.45/0.63 ) % 0.45/0.63 % SZS output end Proof % 0.45/0.63 % cvc5 exiting %------------------------------------------------------------------------------