%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV236^5 : 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 : n002.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 08:55:39 AM UTC 2026 % Result : Theorem 0.36s 0.60s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEV236^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n002.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 18:21:33 EDT 2026 % 0.16/0.36 % CPUTime : % 0.29/0.51 %----Proving TH0 % 0.36/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.60 % SZS status Theorem % 0.36/0.60 % SZS output start Proof % 0.36/0.60 ( % 0.36/0.60 (declare-sort tptp.a 0) % 0.36/0.60 (declare-const tptp.cK (-> (-> tptp.a Bool) tptp.a Bool)) % 0.36/0.60 (declare-const tptp.cS (-> tptp.a Bool)) % 0.36/0.60 (define @t1 () (@var "Xx" tptp.a)) % 0.36/0.60 (define @t2 () (@var "Xx0" tptp.a)) % 0.36/0.60 (define @t3 () (@var "S_3" (-> tptp.a Bool))) % 0.36/0.60 (define @t4 () (_ @t3 @t2)) % 0.36/0.60 (define @t5 () (@var "Xx1" tptp.a)) % 0.36/0.60 (define @t6 () (_ tptp.cS @t5)) % 0.36/0.60 (define @t7 () (_ @t3 @t5)) % 0.36/0.60 (define @t8 () (@list @t5)) % 0.36/0.60 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.36/0.60 (define @t10 () (and @t9 @t4)) % 0.36/0.60 (define @t11 () (@list @t3)) % 0.36/0.60 (define @t12 () (exists @t11 @t10)) % 0.36/0.60 (define @t13 () (@list @t2)) % 0.36/0.60 (define @t14 () (lambda @t13 @t12)) % 0.36/0.60 (define @t15 () (_ (_ tptp.cK tptp.cS) @t1)) % 0.36/0.60 (define @t16 () (=> @t15 (_ (_ tptp.cK @t14) @t1))) % 0.36/0.60 (define @t17 () (@list @t1)) % 0.36/0.60 (define @t18 () (forall @t17 @t16)) % 0.36/0.60 (define @t19 () (@var "Y" (-> tptp.a Bool))) % 0.36/0.60 (define @t20 () (_ (_ tptp.cK @t19) @t1)) % 0.36/0.60 (define @t21 () (@var "X" (-> tptp.a Bool))) % 0.36/0.60 (define @t22 () (_ (_ tptp.cK @t21) @t1)) % 0.36/0.60 (define @t23 () (forall @t17 (=> @t22 @t20))) % 0.36/0.60 (define @t24 () (_ @t19 @t1)) % 0.36/0.60 (define @t25 () (_ @t21 @t1)) % 0.36/0.60 (define @t26 () (forall @t17 (=> @t25 @t24))) % 0.36/0.60 (define @t27 () (=> @t26 @t23)) % 0.36/0.60 (define @t28 () (@list @t21 @t19)) % 0.36/0.60 (define @t29 () (forall @t28 @t27)) % 0.36/0.60 (define @t30 () (=> @t29 @t18)) % 0.36/0.60 (define @t31 () (not @t30)) % 0.36/0.60 (define @t32 () (_ @t3 @t2)) % 0.36/0.60 (define @t33 () (not @t32)) % 0.36/0.60 (define @t34 () (tptp.cS @t5)) % 0.36/0.60 (define @t35 () (_ @t3 @t5)) % 0.36/0.60 (define @t36 () (not @t35)) % 0.36/0.60 (define @t37 () (or @t36 @t34)) % 0.36/0.60 (define @t38 () (forall @t8 @t37)) % 0.36/0.60 (define @t39 () (not @t38)) % 0.36/0.60 (define @t40 () (or @t39 @t33)) % 0.36/0.60 (define @t41 () (forall @t11 @t40)) % 0.36/0.60 (define @t42 () (not @t41)) % 0.36/0.60 (define @t43 () (lambda @t13 @t42)) % 0.36/0.60 (define @t44 () (@purify @t43)) % 0.36/0.60 (define @t45 () (_ @t44 @t2)) % 0.36/0.60 (define @t46 () (_ @t43 @t2)) % 0.36/0.60 (define @t47 () (= @t45 @t46)) % 0.36/0.60 (define @t48 () (forall @t13 @t47)) % 0.36/0.60 (define @t49 () (@const 0 tptp.a)) % 0.36/0.60 (define @t50 () (forall @t11 (or @t39 (not (_ @t3 @t49))))) % 0.36/0.60 (define @t51 () (not @t50)) % 0.36/0.60 (define @t52 () (_ @t44 @t49)) % 0.36/0.60 (define @t53 () (forall @t13 (= @t42 @t45))) % 0.36/0.60 (define @t54 () (= @t51 @t52)) % 0.36/0.60 (define @t55 () (@list @t49)) % 0.36/0.60 (define @t56 () (= @t52 @t51)) % 0.36/0.60 (define @t57 () (not @t4)) % 0.36/0.60 (define @t58 () (not @t7)) % 0.36/0.60 (define @t59 () (or @t58 @t6)) % 0.36/0.60 (define @t60 () (forall @t8 @t59)) % 0.36/0.60 (define @t61 () (lambda @t13 (not (forall @t11 (or (not @t60) @t57))))) % 0.36/0.60 (define @t62 () (tptp.cK @t43 @t1)) % 0.36/0.60 (define @t63 () (_ (_ tptp.cK @t43) @t1)) % 0.36/0.60 (define @t64 () (tptp.cK tptp.cS @t1)) % 0.36/0.60 (define @t65 () (not @t15)) % 0.36/0.60 (define @t66 () (or @t65 @t63)) % 0.36/0.60 (define @t67 () (or @t39 @t57)) % 0.36/0.60 (define @t68 () (and @t38 @t4)) % 0.36/0.60 (define @t69 () (forall @t11 (not @t68))) % 0.36/0.60 (define @t70 () (not @t69)) % 0.36/0.60 (define @t71 () (@var "BOUND_VARIABLE_7471" tptp.a)) % 0.36/0.60 (define @t72 () (tptp.cK @t19 @t71)) % 0.36/0.60 (define @t73 () (not (tptp.cK @t21 @t71))) % 0.36/0.60 (define @t74 () (_ @t19 @t1)) % 0.36/0.60 (define @t75 () (_ @t21 @t1)) % 0.36/0.60 (define @t76 () (forall @t17 (or (not @t75) @t74))) % 0.36/0.60 (define @t77 () (not @t76)) % 0.36/0.60 (define @t78 () (or @t73 @t72)) % 0.36/0.60 (define @t79 () (or @t77 @t78)) % 0.36/0.60 (define @t80 () (forall (@list @t21 @t19 @t71) @t79)) % 0.36/0.60 (define @t81 () (@list @t71)) % 0.36/0.60 (define @t82 () (forall @t81 @t79)) % 0.36/0.60 (define @t83 () (forall @t81 @t78)) % 0.36/0.60 (define @t84 () (or @t77 @t83)) % 0.36/0.60 (define @t85 () (tptp.cK @t19 @t1)) % 0.36/0.60 (define @t86 () (tptp.cK @t21 @t1)) % 0.36/0.60 (define @t87 () (forall @t17 (or (not @t86) @t85))) % 0.36/0.60 (define @t88 () (not @t22)) % 0.36/0.60 (define @t89 () (or @t88 @t20)) % 0.36/0.60 (define @t90 () (not @t25)) % 0.36/0.60 (define @t91 () (or @t90 @t24)) % 0.36/0.60 (define @t92 () (forall @t17 (or (not @t64) @t62))) % 0.36/0.60 (define @t93 () (@quantifiers_skolemize @t92 0)) % 0.36/0.60 (define @t94 () (tptp.cK @t44 @t93)) % 0.36/0.60 (define @t95 () (tptp.cK tptp.cS @t93)) % 0.36/0.60 (define @t96 () (not @t95)) % 0.36/0.60 (define @t97 () (or @t96 @t94)) % 0.36/0.60 (define @t98 () (not @t97)) % 0.36/0.60 (define @t99 () (not @t92)) % 0.36/0.60 (define @t100 () (tptp.cK @t43 @t93)) % 0.36/0.60 (define @t101 () (or @t96 @t100)) % 0.36/0.60 (define @t102 () (not @t101)) % 0.36/0.60 (define @t103 () (@list true)) % 0.36/0.60 (define @t104 () (not @t94)) % 0.36/0.60 (define @t105 () (@list @t97)) % 0.36/0.60 (define @t106 () (= tptp.cS @t44)) % 0.36/0.60 (define @t107 () (not @t106)) % 0.36/0.60 (define @t108 () (and @t104 @t106 @t95)) % 0.36/0.60 (define @t109 () (tptp.cS @t49)) % 0.36/0.60 (define @t110 () (= @t109 @t52)) % 0.36/0.60 (define @t111 () (not @t110)) % 0.36/0.60 (define @t112 () (not @t109)) % 0.36/0.60 (define @t113 () (forall @t8 (or (not @t34) @t34))) % 0.36/0.60 (define @t114 () (not @t113)) % 0.36/0.60 (define @t115 () (or @t114 @t112)) % 0.36/0.60 (define @t116 () (not @t56)) % 0.36/0.60 (define @t117 () (not @t51)) % 0.36/0.60 (define @t118 () (@quantifiers_skolemize @t50 0)) % 0.36/0.60 (define @t119 () (_ @t118 @t49)) % 0.36/0.60 (define @t120 () (not @t119)) % 0.36/0.60 (define @t121 () (forall @t8 (or (not (_ @t118 @t5)) @t34))) % 0.36/0.60 (define @t122 () (not @t121)) % 0.36/0.60 (define @t123 () (or @t122 @t120)) % 0.36/0.60 (define @t124 () (not @t123)) % 0.36/0.60 (define @t125 () (@list @t123)) % 0.36/0.60 (define @t126 () (or @t120 @t109)) % 0.36/0.60 (define @t127 () (not @t126)) % 0.36/0.60 (define @t128 () (@list true false)) % 0.36/0.60 (assume @p1 @t31) % 0.36/0.60 (assume @p2 true) % 0.36/0.60 (step @p3 :rule eq-symm :args (@t45 @t42)) % 0.36/0.60 (step @p4 :rule beta-reduce :args ((= @t46 @t42))) % 0.36/0.60 (step @p5 :rule refl :args (@t45)) % 0.36/0.60 (step @p6 :rule cong :premises (@p5 @p4) :args (@t47)) % 0.36/0.60 (step @p7 :rule trans :premises (@p6 @p3)) % 0.36/0.60 (step @p8 :rule cong :premises (@p7) :args (@t48)) % 0.36/0.60 (step @p9 :rule quant-unused-vars :args ((= (forall @t13 true) true))) % 0.36/0.60 (step @p10 :rule eq-refl :args (@t46)) % 0.36/0.60 (step @p11 :rule cong :premises (@p10) :args ((forall @t13 (= @t46 @t46)))) % 0.36/0.60 (step @p12 :rule trans :premises (@p11 @p9)) % 0.36/0.60 (step @p13 :rule refl :args (@t46)) % 0.36/0.60 (step @p14 :rule refl :args (@t2)) % 0.36/0.60 (step @p15 :rule skolem_intro :args (@t44)) % 0.36/0.60 (step @p16 :rule ho_cong :premises (@p15 @p14)) % 0.36/0.60 (step @p17 :rule cong :premises (@p16 @p13) :args (@t47)) % 0.36/0.60 (step @p18 :rule cong :premises (@p17) :args (@t48)) % 0.36/0.60 (step @p19 :rule trans :premises (@p18 @p12)) % 0.36/0.60 (step @p20 :rule true_elim :premises (@p19)) % 0.36/0.60 (step @p21 :rule eq_resolve :premises (@p20 @p8)) % 0.36/0.60 (step @p22 :rule eq-symm :args (@t51 @t52)) % 0.36/0.60 (step @p23 :rule refl :args (@t53)) % 0.36/0.60 (step @p24 :rule cong :premises (@p23 @p22) :args ((=> @t53 @t54))) % 0.36/0.60 (assume-push @p291 @t53) % 0.36/0.60 (step @p26 :rule instantiate :premises (@p21) :args (@t55)) % 0.36/0.60 (step-pop @p292 :rule scope :premises (@p26)) % 0.36/0.60 (step @p27 :rule process_scope :premises (@p292) :args (@t54)) % 0.36/0.60 (step @p29 :rule eq_resolve :premises (@p27 @p24)) % 0.36/0.60 (step @p30 :rule implies_elim :premises (@p29)) % 0.36/0.60 (step @p31 :rule chain_m_resolution :premises (@p30 @p21) :args (@t56 (@list false) (@list @t53))) % 0.36/0.60 (step @p32 :rule refl :args ((tptp.cK @t61 @t1))) % 0.36/0.60 (step @p33 :rule refl :args (@t1)) % 0.36/0.60 (step @p34 :rule refl :args (@t32)) % 0.36/0.60 (step @p35 :rule cong :premises (@p34) :args (@t33)) % 0.36/0.60 (step @p36 :rule refl :args (@t34)) % 0.36/0.60 (step @p37 :rule refl :args (@t35)) % 0.36/0.60 (step @p38 :rule cong :premises (@p37) :args (@t36)) % 0.36/0.60 (step @p39 :rule nary_cong :premises (@p38 @p36) :args (@t37)) % 0.36/0.60 (step @p40 :rule cong :premises (@p39) :args (@t38)) % 0.36/0.60 (step @p41 :rule cong :premises (@p40) :args (@t39)) % 0.36/0.60 (step @p42 :rule nary_cong :premises (@p41 @p35) :args (@t40)) % 0.36/0.60 (step @p43 :rule cong :premises (@p42) :args (@t41)) % 0.36/0.60 (step @p44 :rule cong :premises (@p43) :args (@t42)) % 0.36/0.60 (step @p45 :rule cong :premises (@p44) :args (@t43)) % 0.36/0.60 (step @p46 :rule cong :premises (@p45 @p33) :args (@t62)) % 0.36/0.60 (step @p47 :rule trans :premises (@p46 @p32)) % 0.36/0.60 (step @p48 :rule refl :args (tptp.cK)) % 0.36/0.60 (step @p49 :rule ho_cong :premises (@p48 @p45)) % 0.36/0.60 (step @p50 :rule ho_cong :premises (@p49 @p33)) % 0.36/0.60 (step @p51 :rule cong :premises (@p50 @p47) :args ((= @t63 @t62))) % 0.36/0.60 (step @p52 :rule symm :premises (@p51)) % 0.36/0.60 (step @p53 :rule refl :args ((_ (_ tptp.cK @t61) @t1))) % 0.36/0.60 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.36/0.60 (step @p55 :rule refl :args (@t64)) % 0.36/0.60 (step @p56 :rule refl :args (@t15)) % 0.36/0.60 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t15 @t64))) % 0.36/0.60 (step @p58 :rule symm :premises (@p57)) % 0.36/0.60 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.36/0.60 (step @p60 :rule cong :premises (@p59) :args (@t65)) % 0.36/0.60 (step @p61 :rule nary_cong :premises (@p60 @p54) :args (@t66)) % 0.36/0.60 (step @p62 :rule cong :premises (@p61) :args ((forall @t17 @t66))) % 0.36/0.60 (step @p63 :rule bool-impl-elim :args (@t15 @t63)) % 0.36/0.60 (step @p64 :rule cong :premises (@p63) :args ((forall @t17 (=> @t15 @t63)))) % 0.36/0.60 (step @p65 :rule trans :premises (@p64 @p62)) % 0.36/0.60 (step @p66 :rule refl :args (@t1)) % 0.36/0.60 (step @p67 :rule refl :args (@t4)) % 0.36/0.60 (step @p68 :rule cong :premises (@p67 @p34) :args ((= @t4 @t32))) % 0.36/0.60 (step @p69 :rule symm :premises (@p68)) % 0.36/0.60 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 0.36/0.60 (step @p71 :rule cong :premises (@p70) :args (@t57)) % 0.36/0.60 (step @p72 :rule refl :args (@t39)) % 0.36/0.60 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t67)) % 0.36/0.60 (step @p74 :rule cong :premises (@p73) :args ((forall @t11 @t67))) % 0.36/0.60 (step @p75 :rule bool-and-de-morgan :args (@t38 @t4 true)) % 0.36/0.60 (step @p76 :rule cong :premises (@p75) :args (@t69)) % 0.36/0.60 (step @p77 :rule trans :premises (@p76 @p74)) % 0.36/0.60 (step @p78 :rule cong :premises (@p77) :args (@t70)) % 0.36/0.60 (step @p79 :rule exists-elim :args ((= (exists @t11 @t68) @t70))) % 0.36/0.60 (step @p80 :rule trans :premises (@p79 @p78)) % 0.36/0.60 (step @p81 :rule refl :args (@t4)) % 0.36/0.60 (step @p82 :rule refl :args (@t6)) % 0.36/0.60 (step @p83 :rule cong :premises (@p82 @p36) :args ((= @t6 @t34))) % 0.36/0.60 (step @p84 :rule symm :premises (@p83)) % 0.36/0.60 (step @p85 :rule eq_resolve :premises (@p82 @p84)) % 0.36/0.60 (step @p86 :rule refl :args (@t7)) % 0.36/0.60 (step @p87 :rule cong :premises (@p86 @p37) :args ((= @t7 @t35))) % 0.36/0.60 (step @p88 :rule symm :premises (@p87)) % 0.36/0.60 (step @p89 :rule eq_resolve :premises (@p86 @p88)) % 0.36/0.60 (step @p90 :rule cong :premises (@p89) :args (@t58)) % 0.36/0.60 (step @p91 :rule nary_cong :premises (@p90 @p85) :args (@t59)) % 0.36/0.60 (step @p92 :rule cong :premises (@p91) :args (@t60)) % 0.36/0.60 (step @p93 :rule bool-impl-elim :args (@t7 @t6)) % 0.36/0.60 (step @p94 :rule cong :premises (@p93) :args (@t9)) % 0.36/0.60 (step @p95 :rule trans :premises (@p94 @p92)) % 0.36/0.60 (step @p96 :rule nary_cong :premises (@p95 @p81) :args (@t10)) % 0.36/0.60 (step @p97 :rule cong :premises (@p96) :args (@t12)) % 0.36/0.60 (step @p98 :rule trans :premises (@p97 @p80)) % 0.36/0.60 (step @p99 :rule cong :premises (@p98) :args (@t14)) % 0.36/0.60 (step @p100 :rule refl :args (tptp.cK)) % 0.36/0.60 (step @p101 :rule ho_cong :premises (@p100 @p99)) % 0.36/0.60 (step @p102 :rule ho_cong :premises (@p101 @p66)) % 0.36/0.60 (step @p103 :rule refl :args (@t15)) % 0.36/0.60 (step @p104 :rule cong :premises (@p103 @p102) :args (@t16)) % 0.36/0.60 (step @p105 :rule cong :premises (@p104) :args (@t18)) % 0.36/0.60 (step @p106 :rule trans :premises (@p105 @p65)) % 0.36/0.60 (step @p107 :rule aci_norm :args ((= @t79 (or @t77 @t73 @t72)))) % 0.36/0.60 (step @p108 :rule cong :premises (@p107) :args (@t80)) % 0.36/0.60 (step @p109 :rule quant-merge-prenex :args ((= (forall @t28 @t82) @t80))) % 0.36/0.60 (step @p110 :rule alpha_equiv :args (@t83 (@list @t71) (@list @t1))) % 0.36/0.60 (step @p111 :rule refl :args (@t77)) % 0.36/0.60 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t84)) % 0.36/0.60 (step @p113 :rule quant-miniscope-or :args ((= @t82 @t84))) % 0.36/0.60 (step @p114 :rule trans :premises (@p113 @p112)) % 0.36/0.60 (step @p115 :rule symm :premises (@p114)) % 0.36/0.60 (step @p116 :rule cong :premises (@p115) :args ((forall @t28 (or @t77 @t87)))) % 0.36/0.60 (step @p117 :rule trans :premises (@p116 @p109)) % 0.36/0.60 (step @p118 :rule trans :premises (@p117 @p108)) % 0.36/0.60 (step @p119 :rule bool-impl-elim :args (@t76 @t87)) % 0.36/0.60 (step @p120 :rule cong :premises (@p119) :args ((forall @t28 (=> @t76 @t87)))) % 0.36/0.60 (step @p121 :rule trans :premises (@p120 @p118)) % 0.36/0.60 (step @p122 :rule refl :args (@t85)) % 0.36/0.60 (step @p123 :rule refl :args (@t20)) % 0.36/0.60 (step @p124 :rule cong :premises (@p123 @p122) :args ((= @t20 @t85))) % 0.36/0.60 (step @p125 :rule symm :premises (@p124)) % 0.36/0.60 (step @p126 :rule eq_resolve :premises (@p123 @p125)) % 0.36/0.60 (step @p127 :rule refl :args (@t86)) % 0.36/0.60 (step @p128 :rule refl :args (@t22)) % 0.36/0.60 (step @p129 :rule cong :premises (@p128 @p127) :args ((= @t22 @t86))) % 0.36/0.60 (step @p130 :rule symm :premises (@p129)) % 0.36/0.60 (step @p131 :rule eq_resolve :premises (@p128 @p130)) % 0.36/0.60 (step @p132 :rule cong :premises (@p131) :args (@t88)) % 0.36/0.60 (step @p133 :rule nary_cong :premises (@p132 @p126) :args (@t89)) % 0.36/0.60 (step @p134 :rule cong :premises (@p133) :args ((forall @t17 @t89))) % 0.36/0.60 (step @p135 :rule bool-impl-elim :args (@t22 @t20)) % 0.36/0.60 (step @p136 :rule cong :premises (@p135) :args (@t23)) % 0.36/0.60 (step @p137 :rule trans :premises (@p136 @p134)) % 0.36/0.60 (step @p138 :rule refl :args (@t74)) % 0.36/0.60 (step @p139 :rule refl :args (@t24)) % 0.36/0.60 (step @p140 :rule cong :premises (@p139 @p138) :args ((= @t24 @t74))) % 0.36/0.60 (step @p141 :rule symm :premises (@p140)) % 0.36/0.60 (step @p142 :rule eq_resolve :premises (@p139 @p141)) % 0.36/0.60 (step @p143 :rule refl :args (@t75)) % 0.36/0.60 (step @p144 :rule refl :args (@t25)) % 0.36/0.60 (step @p145 :rule cong :premises (@p144 @p143) :args ((= @t25 @t75))) % 0.36/0.60 (step @p146 :rule symm :premises (@p145)) % 0.36/0.60 (step @p147 :rule eq_resolve :premises (@p144 @p146)) % 0.36/0.60 (step @p148 :rule cong :premises (@p147) :args (@t90)) % 0.36/0.60 (step @p149 :rule nary_cong :premises (@p148 @p142) :args (@t91)) % 0.36/0.60 (step @p150 :rule cong :premises (@p149) :args ((forall @t17 @t91))) % 0.36/0.60 (step @p151 :rule bool-impl-elim :args (@t25 @t24)) % 0.36/0.60 (step @p152 :rule cong :premises (@p151) :args (@t26)) % 0.36/0.60 (step @p153 :rule trans :premises (@p152 @p150)) % 0.36/0.60 (step @p154 :rule cong :premises (@p153 @p137) :args (@t27)) % 0.36/0.60 (step @p155 :rule cong :premises (@p154) :args (@t29)) % 0.36/0.60 (step @p156 :rule trans :premises (@p155 @p121)) % 0.36/0.60 (step @p157 :rule cong :premises (@p156 @p106) :args (@t30)) % 0.36/0.60 (step @p158 :rule cong :premises (@p157) :args (@t31)) % 0.36/0.60 (step @p159 :rule eq_resolve :premises (@p1 @p158)) % 0.36/0.60 (step @p160 :rule not_implies_elim2 :premises (@p159)) % 0.36/0.60 (step @p161 :rule refl :args (@t98)) % 0.36/0.60 (step @p162 :rule bool-double-not-elim :args (@t92)) % 0.36/0.60 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or (not @t99) @t98))) % 0.36/0.60 (step @p164 :rule refl :args (@t93)) % 0.36/0.60 (step @p165 :rule eq-refl :args (@t43)) % 0.36/0.60 (step @p166 :rule refl :args (@t43)) % 0.36/0.60 (step @p167 :rule cong :premises (@p166 @p15) :args ((= @t43 @t44))) % 0.36/0.60 (step @p168 :rule trans :premises (@p167 @p165)) % 0.36/0.60 (step @p169 :rule true_elim :premises (@p168)) % 0.36/0.60 (step @p170 :rule cong :premises (@p169 @p164) :args (@t100)) % 0.36/0.60 (step @p171 :rule refl :args (@t96)) % 0.36/0.60 (step @p172 :rule nary_cong :premises (@p171 @p170) :args (@t101)) % 0.36/0.60 (step @p173 :rule cong :premises (@p172) :args (@t102)) % 0.36/0.60 (step @p174 :rule refl :args (@t99)) % 0.36/0.60 (step @p175 :rule cong :premises (@p174 @p173) :args ((=> @t99 @t102))) % 0.36/0.60 (assume-push @p293 @t99) % 0.36/0.60 (step @p177 :rule skolemize :premises (@p160)) % 0.36/0.60 (step-pop @p294 :rule scope :premises (@p177)) % 0.36/0.60 (step @p178 :rule process_scope :premises (@p294) :args (@t102)) % 0.36/0.60 (step @p180 :rule eq_resolve :premises (@p178 @p175)) % 0.36/0.60 (step @p181 :rule implies_elim :premises (@p180)) % 0.36/0.60 (step @p182 :rule eq_resolve :premises (@p181 @p163)) % 0.36/0.60 (step @p183 :rule chain_m_resolution :premises (@p182 @p160) :args (@t98 @t103 (@list @t92))) % 0.36/0.60 (step @p184 :rule cnf_or_neg :args (@t97 1)) % 0.36/0.60 (step @p185 :rule chain_m_resolution :premises (@p184 @p183) :args (@t104 @t103 @t105)) % 0.36/0.60 (step @p186 :rule bool-double-not-elim :args (@t95)) % 0.36/0.60 (step @p187 :rule refl :args (@t97)) % 0.36/0.60 (step @p188 :rule nary_cong :premises (@p187 @p186) :args ((or @t97 (not @t96)))) % 0.36/0.60 (step @p189 :rule cnf_or_neg :args (@t97 0)) % 0.36/0.60 (step @p190 :rule eq_resolve :premises (@p189 @p188)) % 0.36/0.60 (step @p191 :rule reordering :premises (@p190) :args ((or @t95 @t97))) % 0.36/0.60 (step @p192 :rule chain_m_resolution :premises (@p191 @p183) :args (@t95 @t103 @t105)) % 0.36/0.60 (step @p193 :rule refl :args (@t107)) % 0.36/0.60 (step @p194 :rule bool-double-not-elim :args (@t94)) % 0.36/0.60 (step @p195 :rule nary_cong :premises (@p171 @p194 @p193) :args ((or @t96 (not @t104) @t107))) % 0.36/0.60 (assume-push @p295 @t104) % 0.36/0.60 (assume-push @p296 @t106) % 0.36/0.60 (assume-push @p297 @t95) % 0.36/0.60 (step @p199 :rule evaluate :args ((= true false))) % 0.36/0.60 (step @p200 :rule false_intro :premises (@p185)) % 0.36/0.60 (step @p201 :rule cong :premises (@p296 @p164) :args (@t95)) % 0.36/0.60 (step @p202 :rule true_intro :premises (@p192)) % 0.36/0.60 (step @p203 :rule symm :premises (@p202)) % 0.36/0.60 (step @p204 :rule trans :premises (@p203 @p201 @p200)) % 0.36/0.60 (step @p205 false :rule eq_resolve :premises (@p204 @p199)) % 0.36/0.60 (step-pop @p298 :rule scope :premises (@p205)) % 0.36/0.60 (step-pop @p299 :rule scope :premises (@p298)) % 0.36/0.60 (step-pop @p300 :rule scope :premises (@p299)) % 0.36/0.60 (step @p206 :rule process_scope :premises (@p300) :args (false)) % 0.36/0.60 (assume-push @p301 @t95) % 0.36/0.60 (assume-push @p302 @t104) % 0.36/0.60 (assume-push @p303 @t106) % 0.36/0.60 (step @p213 :rule and_intro :premises (@p185 @p303 @p192)) % 0.36/0.60 (step-pop @p304 :rule scope :premises (@p213)) % 0.36/0.60 (step-pop @p305 :rule scope :premises (@p304)) % 0.36/0.60 (step-pop @p306 :rule scope :premises (@p305)) % 0.36/0.60 (step @p214 :rule process_scope :premises (@p306) :args (@t108)) % 0.36/0.60 (step @p218 :rule implies_elim :premises (@p214)) % 0.36/0.60 (step @p219 :rule resolution :premises (@p218 @p206) :args (true @t108)) % 0.36/0.60 (step @p220 :rule not_and :premises (@p219)) % 0.36/0.60 (step @p221 :rule eq_resolve :premises (@p220 @p195)) % 0.36/0.60 (step @p222 :rule chain_m_resolution :premises (@p221 @p192 @p185) :args (@t107 (@list false true) (@list @t95 @t94))) % 0.36/0.60 ; WARNING: add trust step for TRUST % 0.36/0.60 ; trust TRUST THEORY_LEMMA % 0.36/0.60 (step @p223 :rule trust :premises () :args ((or @t106 @t111))) % 0.36/0.60 (step @p224 :rule chain_m_resolution :premises (@p223 @p222) :args (@t111 @t103 (@list @t106))) % 0.36/0.60 (step @p225 :rule cnf_equiv_neg2 :args (@t110)) % 0.36/0.60 (step @p226 :rule aci_norm :args ((= (or false @t112) @t112))) % 0.36/0.60 (step @p227 :rule refl :args (@t112)) % 0.36/0.60 (step @p228 :rule evaluate :args ((not true))) % 0.36/0.60 (step @p229 :rule quant-unused-vars :args ((= (forall @t8 true) true))) % 0.36/0.60 (step @p230 :rule bool-or-taut2 :args (false @t34 false false)) % 0.36/0.60 (step @p231 :rule cong :premises (@p230) :args (@t113)) % 0.36/0.60 (step @p232 :rule trans :premises (@p231 @p229)) % 0.36/0.60 (step @p233 :rule cong :premises (@p232) :args (@t114)) % 0.36/0.60 (step @p234 :rule trans :premises (@p233 @p228)) % 0.36/0.60 (step @p235 :rule nary_cong :premises (@p234 @p227) :args (@t115)) % 0.36/0.60 (step @p236 :rule trans :premises (@p235 @p226)) % 0.36/0.60 (step @p237 :rule refl :args (@t50)) % 0.36/0.60 (step @p238 :rule cong :premises (@p237 @p236) :args ((=> @t50 @t115))) % 0.36/0.60 (assume-push @p307 @t50) % 0.36/0.60 (step @p240 :rule instantiate :premises (@p307) :args ((@list tptp.cS))) % 0.36/0.60 (step-pop @p308 :rule scope :premises (@p240)) % 0.36/0.60 (step @p241 :rule process_scope :premises (@p308) :args (@t115)) % 0.36/0.60 (step @p243 :rule eq_resolve :premises (@p241 @p238)) % 0.36/0.60 (step @p244 :rule implies_elim :premises (@p243)) % 0.36/0.60 (step @p245 :rule reordering :premises (@p244) :args ((or @t112 @t51))) % 0.36/0.60 (step @p246 :rule bool-double-not-elim :args (@t50)) % 0.36/0.60 (step @p247 :rule refl :args (@t52)) % 0.36/0.60 (step @p248 :rule refl :args (@t116)) % 0.36/0.60 (step @p249 :rule nary_cong :premises (@p248 @p247 @p246) :args ((or @t116 @t52 @t117))) % 0.36/0.60 (step @p250 :rule cnf_equiv_pos2 :args (@t56)) % 0.36/0.60 (step @p251 :rule eq_resolve :premises (@p250 @p249)) % 0.36/0.60 (step @p252 :rule reordering :premises (@p251) :args ((or @t52 @t50 @t116))) % 0.36/0.60 (step @p253 :rule chain_m_resolution :premises (@p252 @p31 @p245 @p225 @p224) :args (@t112 (@list false true true true) (@list @t56 @t50 @t52 @t110))) % 0.36/0.60 (step @p254 :rule cnf_equiv_neg1 :args (@t110)) % 0.36/0.60 (step @p255 :rule reordering :premises (@p254) :args ((or @t109 @t52 @t110))) % 0.36/0.60 (step @p256 :rule chain_m_resolution :premises (@p255 @p253 @p224) :args (@t52 (@list true true) (@list @t109 @t110))) % 0.36/0.60 (step @p257 :rule cnf_equiv_pos1 :args (@t56)) % 0.36/0.60 (step @p258 :rule reordering :premises (@p257) :args ((or (not @t52) @t51 @t116))) % 0.36/0.60 (step @p259 :rule chain_m_resolution :premises (@p258 @p256 @p31) :args (@t51 (@list false false) (@list @t52 @t56))) % 0.36/0.60 (step @p260 :rule refl :args (@t124)) % 0.36/0.60 (step @p261 :rule nary_cong :premises (@p246 @p260) :args ((or @t117 @t124))) % 0.36/0.60 (assume-push @p309 @t51) % 0.36/0.60 (step @p263 :rule skolemize :premises (@p309)) % 0.36/0.60 (step-pop @p310 :rule scope :premises (@p263)) % 0.36/0.60 (step @p264 :rule process_scope :premises (@p310) :args (@t124)) % 0.36/0.60 (step @p266 :rule implies_elim :premises (@p264)) % 0.36/0.60 (step @p267 :rule eq_resolve :premises (@p266 @p261)) % 0.36/0.60 (step @p268 :rule chain_m_resolution :premises (@p267 @p259) :args (@t124 @t103 (@list @t50))) % 0.36/0.60 (step @p269 :rule bool-double-not-elim :args (@t121)) % 0.36/0.60 (step @p270 :rule refl :args (@t123)) % 0.36/0.60 (step @p271 :rule nary_cong :premises (@p270 @p269) :args ((or @t123 (not @t122)))) % 0.36/0.60 (step @p272 :rule cnf_or_neg :args (@t123 0)) % 0.36/0.60 (step @p273 :rule eq_resolve :premises (@p272 @p271)) % 0.36/0.60 (step @p274 :rule reordering :premises (@p273) :args ((or @t121 @t123))) % 0.36/0.60 (step @p275 :rule chain_m_resolution :premises (@p274 @p268) :args (@t121 @t103 @t125)) % 0.36/0.60 (step @p276 :rule bool-double-not-elim :args (@t119)) % 0.36/0.60 (step @p277 :rule nary_cong :premises (@p270 @p276) :args ((or @t123 (not @t120)))) % 0.36/0.60 (step @p278 :rule cnf_or_neg :args (@t123 1)) % 0.36/0.60 (step @p279 :rule eq_resolve :premises (@p278 @p277)) % 0.36/0.60 (step @p280 :rule reordering :premises (@p279) :args ((or @t119 @t123))) % 0.36/0.60 (step @p281 :rule chain_m_resolution :premises (@p280 @p268) :args (@t119 @t103 @t125)) % 0.36/0.60 (step @p282 :rule cnf_or_pos :args (@t126)) % 0.36/0.60 (step @p283 :rule reordering :premises (@p282) :args ((or @t109 @t120 @t127))) % 0.36/0.60 (step @p284 :rule chain_m_resolution :premises (@p283 @p253 @p281) :args (@t127 @t128 (@list @t109 @t119))) % 0.36/0.60 (assume-push @p311 @t121) % 0.36/0.60 (step @p286 :rule instantiate :premises (@p311) :args (@t55)) % 0.36/0.60 (step-pop @p312 :rule scope :premises (@p286)) % 0.36/0.60 (step @p287 :rule process_scope :premises (@p312) :args (@t126)) % 0.36/0.60 (step @p289 :rule implies_elim :premises (@p287)) % 0.36/0.60 (step @p290 false :rule chain_m_resolution :premises (@p289 @p284 @p275) :args (false @t128 (@list @t126 @t121))) % 0.36/0.60 ) % 0.36/0.60 % SZS output end Proof % 0.36/0.60 % cvc5 exiting %------------------------------------------------------------------------------