%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO008^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 09:11:46 AM UTC 2026 % Result : Theorem 0.37s 0.63s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO008^1 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n021.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 23:52:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.37/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.63 % SZS status Theorem % 0.37/0.63 % SZS output start Proof % 0.37/0.63 ( % 0.37/0.63 (declare-sort $$unsorted 0) % 0.37/0.63 (define tptp.leibeq1 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" $$unsorted))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ _let_2 _let_3) (_ _let_2 _let_1)))))))) % 0.37/0.63 (define tptp.leibeq2 () (let ((_let_1 (@var "Y" (-> $$unsorted $$unsorted)))) (let ((_let_2 (@var "P" (-> (-> $$unsorted $$unsorted) Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted $$unsorted)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ _let_2 _let_3) (_ _let_2 _let_1)))))))) % 0.37/0.63 (define @t1 () (@var "G" (-> $$unsorted $$unsorted))) % 0.37/0.63 (define @t2 () (@var "F" (-> $$unsorted $$unsorted))) % 0.37/0.63 (define @t3 () (@var "X" $$unsorted)) % 0.37/0.63 (define @t4 () (_ @t1 @t3)) % 0.37/0.63 (define @t5 () (_ @t2 @t3)) % 0.37/0.63 (define @t6 () (@list @t3)) % 0.37/0.63 (define @t7 () (forall @t6 (_ (_ tptp.leibeq1 @t5) @t4))) % 0.37/0.63 (define @t8 () (=> @t7 (_ (_ tptp.leibeq2 @t2) @t1))) % 0.37/0.63 (define @t9 () (@list @t2 @t1)) % 0.37/0.63 (define @t10 () (forall @t9 @t8)) % 0.37/0.63 (define @t11 () (not @t10)) % 0.37/0.63 (define @t12 () (@var "V" $$unsorted)) % 0.37/0.63 (define @t13 () (@var "Q" (-> $$unsorted Bool))) % 0.37/0.63 (define @t14 () (_ @t13 @t12)) % 0.37/0.63 (define @t15 () (@var "U" $$unsorted)) % 0.37/0.63 (define @t16 () (_ @t13 @t15)) % 0.37/0.63 (define @t17 () (@list @t13)) % 0.37/0.63 (define @t18 () (forall @t17 (=> @t16 @t14))) % 0.37/0.63 (define @t19 () (@list @t15 @t12)) % 0.37/0.63 (define @t20 () (lambda @t19 @t18)) % 0.37/0.63 (define @t21 () (@var "Y" (-> $$unsorted $$unsorted))) % 0.37/0.63 (define @t22 () (@var "P" (-> (-> $$unsorted $$unsorted) Bool))) % 0.37/0.63 (define @t23 () (_ @t22 @t21)) % 0.37/0.63 (define @t24 () (@var "X" (-> $$unsorted $$unsorted))) % 0.37/0.63 (define @t25 () (_ @t22 @t24)) % 0.37/0.63 (define @t26 () (@list @t22)) % 0.37/0.63 (define @t27 () (forall @t26 (=> @t25 @t23))) % 0.37/0.63 (define @t28 () (@list @t24 @t21)) % 0.37/0.63 (define @t29 () (lambda @t28 @t27)) % 0.37/0.63 (define @t30 () (@var "BOUND_VARIABLE_7534" (-> (-> $$unsorted $$unsorted) Bool))) % 0.37/0.63 (define @t31 () (_ @t30 @t1)) % 0.37/0.63 (define @t32 () (not (_ @t30 @t2))) % 0.37/0.63 (define @t33 () (_ @t1 @t3)) % 0.37/0.63 (define @t34 () (_ @t2 @t3)) % 0.37/0.63 (define @t35 () (not (_ @t13 @t34))) % 0.37/0.63 (define @t36 () (or @t35 (_ @t13 @t33))) % 0.37/0.63 (define @t37 () (@list @t3 @t13)) % 0.37/0.63 (define @t38 () (forall @t37 @t36)) % 0.37/0.63 (define @t39 () (not @t38)) % 0.37/0.63 (define @t40 () (or @t39 @t32 @t31)) % 0.37/0.63 (define @t41 () (or @t32 @t31)) % 0.37/0.63 (define @t42 () (or @t39 @t41)) % 0.37/0.63 (define @t43 () (@list @t2 @t1 @t30)) % 0.37/0.63 (define @t44 () (forall @t43 @t42)) % 0.37/0.63 (define @t45 () (@list @t30)) % 0.37/0.63 (define @t46 () (forall @t45 @t42)) % 0.37/0.63 (define @t47 () (forall @t45 @t41)) % 0.37/0.63 (define @t48 () (or @t39 @t47)) % 0.37/0.63 (define @t49 () (not (_ @t22 @t2))) % 0.37/0.63 (define @t50 () (forall @t26 (or @t49 (_ @t22 @t1)))) % 0.37/0.63 (define @t51 () (_ @t22 @t21)) % 0.37/0.63 (define @t52 () (lambda (@list @t21) (forall @t26 (or @t49 @t51)))) % 0.37/0.63 (define @t53 () (_ @t22 @t24)) % 0.37/0.63 (define @t54 () (_ (lambda @t28 (forall @t26 (or (not @t53) @t51))) @t2)) % 0.37/0.63 (define @t55 () (_ @t13 @t4)) % 0.37/0.63 (define @t56 () (or @t35 @t55)) % 0.37/0.63 (define @t57 () (forall @t17 @t56)) % 0.37/0.63 (define @t58 () (_ @t13 @t12)) % 0.37/0.63 (define @t59 () (@list @t12)) % 0.37/0.63 (define @t60 () (_ @t13 @t5)) % 0.37/0.63 (define @t61 () (not @t60)) % 0.37/0.63 (define @t62 () (or @t61 @t58)) % 0.37/0.63 (define @t63 () (forall @t17 @t62)) % 0.37/0.63 (define @t64 () (lambda @t59 @t63)) % 0.37/0.63 (define @t65 () (_ @t13 @t15)) % 0.37/0.63 (define @t66 () (_ (lambda @t19 (forall @t17 (or (not @t65) @t58))) @t5)) % 0.37/0.63 (define @t67 () (forall @t6 (_ @t66 @t4))) % 0.37/0.63 (define @t68 () (=> @t67 (_ @t54 @t1))) % 0.37/0.63 (define @t69 () (forall @t9 @t68)) % 0.37/0.63 (define @t70 () (not @t25)) % 0.37/0.63 (define @t71 () (or @t70 @t23)) % 0.37/0.63 (define @t72 () (not @t16)) % 0.37/0.63 (define @t73 () (or @t72 @t14)) % 0.37/0.63 (define @t74 () (forall @t43 @t40)) % 0.37/0.63 (define @t75 () (@quantifiers_skolemize @t74 1)) % 0.37/0.63 (define @t76 () (@quantifiers_skolemize @t74 0)) % 0.37/0.63 (define @t77 () (forall @t37 (or (not (_ @t13 (_ @t76 @t3))) (_ @t13 (_ @t75 @t3))))) % 0.37/0.63 (define @t78 () (@quantifiers_skolemize @t74 2)) % 0.37/0.63 (define @t79 () (_ @t78 @t75)) % 0.37/0.63 (define @t80 () (_ @t78 @t76)) % 0.37/0.63 (define @t81 () (not @t80)) % 0.37/0.63 (define @t82 () (not @t77)) % 0.37/0.63 (define @t83 () (or @t82 @t81 @t79)) % 0.37/0.63 (define @t84 () (@list true)) % 0.37/0.63 (define @t85 () (@list @t83)) % 0.37/0.63 (define @t86 () (not @t79)) % 0.37/0.63 (define @t87 () (= @t76 @t75)) % 0.37/0.63 (define @t88 () (not @t87)) % 0.37/0.63 (define @t89 () (and @t80 @t87 @t86)) % 0.37/0.63 (define @t90 () (@const 0 $$unsorted)) % 0.37/0.63 (define @t91 () (_ @t75 @t90)) % 0.37/0.63 (define @t92 () (_ @t76 @t90)) % 0.37/0.63 (define @t93 () (= @t92 @t91)) % 0.37/0.63 (define @t94 () (not @t93)) % 0.37/0.63 (define @t95 () (@var "BOUND_VARIABLE_14874" $$unsorted)) % 0.37/0.63 (define @t96 () (lambda (@list @t95) (= @t95 @t92))) % 0.37/0.63 (define @t97 () (_ @t96 @t91)) % 0.37/0.63 (define @t98 () (_ @t96 @t92)) % 0.37/0.63 (define @t99 () (not @t98)) % 0.37/0.63 (define @t100 () (or @t99 @t97)) % 0.37/0.63 (assume @p1 @t11) % 0.37/0.63 (assume @p2 true) % 0.37/0.63 (step @p3 (= tptp.leibeq1 @t20) :rule refl :args (@t20)) % 0.37/0.63 (step @p4 (= tptp.leibeq2 @t29) :rule refl :args (@t29)) % 0.37/0.63 (step @p5 :rule aci_norm :args ((= @t42 @t40))) % 0.37/0.63 (step @p6 :rule cong :premises (@p5) :args (@t44)) % 0.37/0.63 (step @p7 :rule quant-merge-prenex :args ((= (forall @t9 @t46) @t44))) % 0.37/0.63 (step @p8 :rule alpha_equiv :args (@t47 (@list @t30) (@list @t22))) % 0.37/0.63 (step @p9 :rule refl :args (@t39)) % 0.37/0.63 (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t48)) % 0.37/0.63 (step @p11 :rule quant-miniscope-or :args ((= @t46 @t48))) % 0.37/0.63 (step @p12 :rule trans :premises (@p11 @p10)) % 0.37/0.63 (step @p13 :rule symm :premises (@p12)) % 0.37/0.63 (step @p14 :rule cong :premises (@p13) :args ((forall @t9 (or @t39 @t50)))) % 0.37/0.63 (step @p15 :rule trans :premises (@p14 @p7)) % 0.37/0.63 (step @p16 :rule trans :premises (@p15 @p6)) % 0.37/0.63 (step @p17 :rule bool-impl-elim :args (@t38 @t50)) % 0.37/0.63 (step @p18 :rule cong :premises (@p17) :args ((forall @t9 (=> @t38 @t50)))) % 0.37/0.63 (step @p19 :rule trans :premises (@p18 @p16)) % 0.37/0.63 (step @p20 :rule beta-reduce :args ((= (_ @t52 @t1) @t50))) % 0.37/0.63 (step @p21 :rule refl :args (@t1)) % 0.37/0.63 (step @p22 :rule beta-reduce :args ((= @t54 @t52))) % 0.37/0.63 (step @p23 :rule ho_cong :premises (@p22 @p21)) % 0.37/0.63 (step @p24 :rule trans :premises (@p23 @p20)) % 0.37/0.63 (step @p25 :rule quant-merge-prenex :args ((= (forall @t6 (forall @t17 @t36)) @t38))) % 0.37/0.63 (step @p26 :rule refl :args (@t33)) % 0.37/0.63 (step @p27 :rule refl :args (@t4)) % 0.37/0.63 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t4 @t33))) % 0.37/0.63 (step @p29 :rule symm :premises (@p28)) % 0.37/0.63 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.37/0.63 (step @p31 :rule cong :premises (@p30) :args (@t55)) % 0.37/0.63 (step @p32 :rule refl :args (@t35)) % 0.37/0.63 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t56)) % 0.37/0.63 (step @p34 :rule cong :premises (@p33) :args (@t57)) % 0.37/0.63 (step @p35 :rule beta-reduce :args ((= (_ (lambda @t59 (forall @t17 (or @t35 @t58))) @t4) @t57))) % 0.37/0.63 (step @p36 :rule trans :premises (@p35 @p34)) % 0.37/0.63 (step @p37 :rule refl :args (@t4)) % 0.37/0.63 (step @p38 :rule refl :args (@t58)) % 0.37/0.63 (step @p39 :rule refl :args (@t34)) % 0.37/0.63 (step @p40 :rule refl :args (@t5)) % 0.37/0.63 (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t5 @t34))) % 0.37/0.63 (step @p42 :rule symm :premises (@p41)) % 0.37/0.63 (step @p43 :rule eq_resolve :premises (@p40 @p42)) % 0.37/0.63 (step @p44 :rule cong :premises (@p43) :args (@t60)) % 0.37/0.63 (step @p45 :rule cong :premises (@p44) :args (@t61)) % 0.37/0.63 (step @p46 :rule nary_cong :premises (@p45 @p38) :args (@t62)) % 0.37/0.63 (step @p47 :rule cong :premises (@p46) :args (@t63)) % 0.37/0.63 (step @p48 :rule cong :premises (@p47) :args (@t64)) % 0.37/0.63 (step @p49 :rule beta-reduce :args ((= @t66 @t64))) % 0.37/0.63 (step @p50 :rule trans :premises (@p49 @p48)) % 0.37/0.63 (step @p51 :rule ho_cong :premises (@p50 @p37)) % 0.37/0.63 (step @p52 :rule trans :premises (@p51 @p36)) % 0.37/0.63 (step @p53 :rule cong :premises (@p52) :args (@t67)) % 0.37/0.63 (step @p54 :rule trans :premises (@p53 @p25)) % 0.37/0.63 (step @p55 :rule cong :premises (@p54 @p24) :args (@t68)) % 0.37/0.63 (step @p56 :rule cong :premises (@p55) :args (@t69)) % 0.37/0.63 (step @p57 :rule trans :premises (@p56 @p19)) % 0.37/0.63 (step @p58 :rule cong :premises (@p57) :args ((not @t69))) % 0.37/0.63 (step @p59 :rule refl :args (@t2)) % 0.37/0.63 (step @p60 :rule refl :args (@t51)) % 0.37/0.63 (step @p61 :rule refl :args (@t23)) % 0.37/0.63 (step @p62 :rule cong :premises (@p61 @p60) :args ((= @t23 @t51))) % 0.37/0.63 (step @p63 :rule symm :premises (@p62)) % 0.37/0.63 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 0.37/0.63 (step @p65 :rule refl :args (@t53)) % 0.37/0.63 (step @p66 :rule refl :args (@t25)) % 0.37/0.63 (step @p67 :rule cong :premises (@p66 @p65) :args ((= @t25 @t53))) % 0.37/0.63 (step @p68 :rule symm :premises (@p67)) % 0.37/0.63 (step @p69 :rule eq_resolve :premises (@p66 @p68)) % 0.37/0.63 (step @p70 :rule cong :premises (@p69) :args (@t70)) % 0.37/0.63 (step @p71 :rule nary_cong :premises (@p70 @p64) :args (@t71)) % 0.37/0.63 (step @p72 :rule cong :premises (@p71) :args ((forall @t26 @t71))) % 0.37/0.63 (step @p73 :rule bool-impl-elim :args (@t25 @t23)) % 0.37/0.63 (step @p74 :rule cong :premises (@p73) :args (@t27)) % 0.37/0.63 (step @p75 :rule trans :premises (@p74 @p72)) % 0.37/0.63 (step @p76 :rule cong :premises (@p75) :args (@t29)) % 0.37/0.63 (step @p77 :rule trans :premises (@p4 @p76)) % 0.37/0.63 (step @p78 :rule ho_cong :premises (@p77 @p59)) % 0.37/0.63 (step @p79 :rule ho_cong :premises (@p78 @p21)) % 0.37/0.63 (step @p80 :rule refl :args (@t5)) % 0.37/0.63 (step @p81 :rule refl :args (@t58)) % 0.37/0.63 (step @p82 :rule refl :args (@t14)) % 0.37/0.63 (step @p83 :rule cong :premises (@p82 @p81) :args ((= @t14 @t58))) % 0.37/0.63 (step @p84 :rule symm :premises (@p83)) % 0.37/0.63 (step @p85 :rule eq_resolve :premises (@p82 @p84)) % 0.37/0.63 (step @p86 :rule refl :args (@t65)) % 0.37/0.63 (step @p87 :rule refl :args (@t16)) % 0.37/0.63 (step @p88 :rule cong :premises (@p87 @p86) :args ((= @t16 @t65))) % 0.37/0.63 (step @p89 :rule symm :premises (@p88)) % 0.37/0.63 (step @p90 :rule eq_resolve :premises (@p87 @p89)) % 0.37/0.63 (step @p91 :rule cong :premises (@p90) :args (@t72)) % 0.37/0.63 (step @p92 :rule nary_cong :premises (@p91 @p85) :args (@t73)) % 0.37/0.63 (step @p93 :rule cong :premises (@p92) :args ((forall @t17 @t73))) % 0.37/0.63 (step @p94 :rule bool-impl-elim :args (@t16 @t14)) % 0.37/0.63 (step @p95 :rule cong :premises (@p94) :args (@t18)) % 0.37/0.63 (step @p96 :rule trans :premises (@p95 @p93)) % 0.37/0.63 (step @p97 :rule cong :premises (@p96) :args (@t20)) % 0.37/0.63 (step @p98 :rule trans :premises (@p3 @p97)) % 0.37/0.63 (step @p99 :rule ho_cong :premises (@p98 @p80)) % 0.37/0.63 (step @p100 :rule ho_cong :premises (@p99 @p37)) % 0.37/0.63 (step @p101 :rule cong :premises (@p100) :args (@t7)) % 0.37/0.63 (step @p102 :rule cong :premises (@p101 @p79) :args (@t8)) % 0.37/0.63 (step @p103 :rule cong :premises (@p102) :args (@t10)) % 0.37/0.63 (step @p104 :rule cong :premises (@p103) :args (@t11)) % 0.37/0.63 (step @p105 :rule trans :premises (@p104 @p58)) % 0.37/0.63 (step @p106 :rule eq_resolve :premises (@p1 @p105)) % 0.37/0.63 (step @p107 :rule skolemize :premises (@p106)) % 0.37/0.63 (step @p108 :rule bool-double-not-elim :args (@t77)) % 0.37/0.63 (step @p109 :rule refl :args (@t83)) % 0.37/0.63 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or @t83 (not @t82)))) % 0.37/0.63 (step @p111 :rule cnf_or_neg :args (@t83 0)) % 0.37/0.63 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 0.37/0.63 (step @p113 :rule reordering :premises (@p112) :args ((or @t77 @t83))) % 0.37/0.63 (step @p114 :rule chain_m_resolution :premises (@p113 @p107) :args (@t77 @t84 @t85)) % 0.37/0.63 (step @p115 :rule cnf_or_neg :args (@t83 2)) % 0.37/0.63 (step @p116 :rule chain_m_resolution :premises (@p115 @p107) :args (@t86 @t84 @t85)) % 0.37/0.63 (step @p117 :rule bool-double-not-elim :args (@t80)) % 0.37/0.63 (step @p118 :rule nary_cong :premises (@p109 @p117) :args ((or @t83 (not @t81)))) % 0.37/0.63 (step @p119 :rule cnf_or_neg :args (@t83 1)) % 0.37/0.63 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 0.37/0.63 (step @p121 :rule reordering :premises (@p120) :args ((or @t80 @t83))) % 0.37/0.63 (step @p122 :rule chain_m_resolution :premises (@p121 @p107) :args (@t80 @t84 @t85)) % 0.37/0.63 (step @p123 :rule refl :args (@t88)) % 0.37/0.63 (step @p124 :rule bool-double-not-elim :args (@t79)) % 0.37/0.63 (step @p125 :rule refl :args (@t81)) % 0.37/0.63 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123) :args ((or @t81 (not @t86) @t88))) % 0.37/0.63 (assume-push @p178 @t80) % 0.37/0.63 (assume-push @p179 @t87) % 0.37/0.63 (assume-push @p180 @t86) % 0.37/0.63 (step @p130 :rule evaluate :args ((= false true))) % 0.37/0.63 (step @p131 :rule true_intro :premises (@p122)) % 0.37/0.63 (step @p132 :rule symm :premises (@p179)) % 0.37/0.63 (step @p133 :rule cong :premises (@p132) :args (@t79)) % 0.37/0.63 (step @p134 :rule false_intro :premises (@p116)) % 0.37/0.63 (step @p135 :rule symm :premises (@p134)) % 0.37/0.63 (step @p136 :rule trans :premises (@p135 @p133 @p131)) % 0.37/0.63 (step @p137 false :rule eq_resolve :premises (@p136 @p130)) % 0.37/0.63 (step-pop @p181 :rule scope :premises (@p137)) % 0.37/0.63 (step-pop @p182 :rule scope :premises (@p181)) % 0.37/0.63 (step-pop @p183 :rule scope :premises (@p182)) % 0.37/0.63 (step @p138 :rule process_scope :premises (@p183) :args (false)) % 0.37/0.63 (assume-push @p184 @t80) % 0.37/0.63 (assume-push @p185 @t86) % 0.37/0.63 (assume-push @p186 @t87) % 0.37/0.63 (step @p145 :rule and_intro :premises (@p122 @p186 @p116)) % 0.37/0.63 (step-pop @p187 :rule scope :premises (@p145)) % 0.37/0.63 (step-pop @p188 :rule scope :premises (@p187)) % 0.37/0.63 (step-pop @p189 :rule scope :premises (@p188)) % 0.37/0.63 (step @p146 :rule process_scope :premises (@p189) :args (@t89)) % 0.37/0.63 (step @p150 :rule implies_elim :premises (@p146)) % 0.37/0.63 (step @p151 :rule resolution :premises (@p150 @p138) :args (true @t89)) % 0.37/0.63 (step @p152 :rule not_and :premises (@p151)) % 0.34/0.63 (step @p153 :rule eq_resolve :premises (@p152 @p126)) % 0.34/0.63 (step @p154 :rule chain_m_resolution :premises (@p153 @p122 @p116) :args (@t88 (@list false true) (@list @t80 @t79))) % 0.34/0.63 ; WARNING: add trust step for TRUST % 0.34/0.63 ; trust TRUST THEORY_LEMMA % 0.34/0.63 (step @p155 :rule trust :premises () :args ((or @t87 @t94))) % 0.34/0.63 (step @p156 :rule chain_m_resolution :premises (@p155 @p154) :args (@t94 @t84 (@list @t87))) % 0.34/0.63 (step @p157 :rule aci_norm :args ((= (or false @t93) @t93))) % 0.34/0.63 (step @p158 :rule eq-symm :args (@t91 @t92)) % 0.34/0.63 (step @p159 :rule beta-reduce :args ((= @t97 (= @t91 @t92)))) % 0.34/0.63 (step @p160 :rule trans :premises (@p159 @p158)) % 0.34/0.63 (step @p161 :rule evaluate :args ((not true))) % 0.34/0.63 (step @p162 :rule eq-refl :args (@t92)) % 0.34/0.63 (step @p163 :rule beta-reduce :args ((= @t98 (= @t92 @t92)))) % 0.34/0.63 (step @p164 :rule trans :premises (@p163 @p162)) % 0.34/0.63 (step @p165 :rule cong :premises (@p164) :args (@t99)) % 0.34/0.63 (step @p166 :rule trans :premises (@p165 @p161)) % 0.34/0.63 (step @p167 :rule nary_cong :premises (@p166 @p160) :args (@t100)) % 0.34/0.63 (step @p168 :rule trans :premises (@p167 @p157)) % 0.34/0.63 (step @p169 :rule refl :args (@t77)) % 0.34/0.63 (step @p170 :rule cong :premises (@p169 @p168) :args ((=> @t77 @t100))) % 0.34/0.63 (assume-push @p190 @t77) % 0.34/0.63 (step @p172 :rule instantiate :premises (@p114) :args ((@list @t90 @t96))) % 0.34/0.63 (step-pop @p191 :rule scope :premises (@p172)) % 0.34/0.63 (step @p173 :rule process_scope :premises (@p191) :args (@t100)) % 0.34/0.63 (step @p175 :rule eq_resolve :premises (@p173 @p170)) % 0.34/0.63 (step @p176 :rule implies_elim :premises (@p175)) % 0.34/0.63 (step @p177 false :rule chain_m_resolution :premises (@p176 @p156 @p114) :args (false (@list true false) (@list @t93 @t77))) % 0.34/0.63 ) % 0.34/0.63 % SZS output end Proof % 0.34/0.63 % cvc5 exiting %------------------------------------------------------------------------------