%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV167^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:55:33 AM UTC 2026 % Result : Theorem 0.72s 0.96s % Output : Proof 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV167^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n008.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 18:17:33 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.72/0.96 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.72/0.96 % SZS status Theorem % 0.72/0.96 % SZS output start Proof % 0.72/0.96 ( % 0.72/0.96 (declare-sort tptp.a 0) % 0.72/0.96 (define @t1 () (@var "Xy2" tptp.a)) % 0.72/0.96 (define @t2 () (@var "Xy1" tptp.a)) % 0.72/0.96 (define @t3 () (@var "Xx2" tptp.a)) % 0.72/0.96 (define @t4 () (@var "Xx1" tptp.a)) % 0.72/0.96 (define @t5 () (and (= @t4 @t3) (= @t2 @t1))) % 0.72/0.96 (define @t6 () (@var "Xr" (-> tptp.a tptp.a tptp.a tptp.a Bool))) % 0.72/0.96 (define @t7 () (_ (_ (_ (_ @t6 @t4) @t2) @t3) @t1)) % 0.72/0.96 (define @t8 () (@list @t4 @t2 @t3 @t1)) % 0.72/0.96 (define @t9 () (forall @t8 (=> @t7 @t5))) % 0.72/0.96 (define @t10 () (@var "Xq" (-> (-> tptp.a tptp.a tptp.a) tptp.a))) % 0.72/0.96 (define @t11 () (@var "Xp" (-> (-> tptp.a tptp.a tptp.a) tptp.a))) % 0.72/0.96 (define @t12 () (= @t11 @t10)) % 0.72/0.96 (define @t13 () (@var "Xy" tptp.a)) % 0.72/0.96 (define @t14 () (@var "Xx" tptp.a)) % 0.72/0.96 (define @t15 () (@list @t14 @t13)) % 0.72/0.96 (define @t16 () (lambda @t15 @t13)) % 0.72/0.96 (define @t17 () (_ @t10 @t16)) % 0.72/0.96 (define @t18 () (lambda @t15 @t14)) % 0.72/0.96 (define @t19 () (_ @t10 @t18)) % 0.72/0.96 (define @t20 () (_ @t11 @t16)) % 0.72/0.96 (define @t21 () (_ @t11 @t18)) % 0.72/0.96 (define @t22 () (_ (_ (_ (_ @t6 @t21) @t20) @t19) @t17)) % 0.72/0.96 (define @t23 () (@list @t11 @t10)) % 0.72/0.96 (define @t24 () (forall @t23 (=> @t22 @t12))) % 0.72/0.96 (define @t25 () (=> @t24 @t9)) % 0.72/0.96 (define @t26 () (@list @t6)) % 0.72/0.96 (define @t27 () (forall @t26 @t25)) % 0.72/0.96 (define @t28 () (not @t27)) % 0.72/0.96 (define @t29 () (@var "BOUND_VARIABLE_7485" tptp.a)) % 0.72/0.96 (define @t30 () (@var "BOUND_VARIABLE_7481" tptp.a)) % 0.72/0.96 (define @t31 () (@var "BOUND_VARIABLE_7483" tptp.a)) % 0.72/0.96 (define @t32 () (@var "BOUND_VARIABLE_7479" tptp.a)) % 0.72/0.96 (define @t33 () (and (= @t32 @t31) (= @t30 @t29))) % 0.72/0.96 (define @t34 () (not (_ @t6 @t32 @t30 @t31 @t29))) % 0.72/0.96 (define @t35 () (_ @t10 @t16)) % 0.72/0.96 (define @t36 () (_ @t10 @t18)) % 0.72/0.96 (define @t37 () (_ @t11 @t16)) % 0.72/0.96 (define @t38 () (_ @t11 @t18)) % 0.72/0.96 (define @t39 () (_ @t6 @t38 @t37 @t36 @t35)) % 0.72/0.96 (define @t40 () (forall @t23 (or (not @t39) @t12))) % 0.72/0.96 (define @t41 () (not @t40)) % 0.72/0.96 (define @t42 () (or @t41 @t34 @t33)) % 0.72/0.96 (define @t43 () (or @t34 @t33)) % 0.72/0.96 (define @t44 () (or @t41 @t43)) % 0.72/0.96 (define @t45 () (@list @t6 @t32 @t30 @t31 @t29)) % 0.72/0.96 (define @t46 () (forall @t45 @t44)) % 0.72/0.96 (define @t47 () (@list @t32 @t30 @t31 @t29)) % 0.72/0.96 (define @t48 () (forall @t47 @t44)) % 0.72/0.96 (define @t49 () (forall @t47 @t43)) % 0.72/0.96 (define @t50 () (or @t41 @t49)) % 0.72/0.96 (define @t51 () (_ @t6 @t4 @t2 @t3 @t1)) % 0.72/0.96 (define @t52 () (forall @t8 (or (not @t51) @t5))) % 0.72/0.96 (define @t53 () (not @t7)) % 0.72/0.96 (define @t54 () (or @t53 @t5)) % 0.72/0.96 (define @t55 () (not @t22)) % 0.72/0.96 (define @t56 () (or @t55 @t12)) % 0.72/0.96 (define @t57 () (forall @t45 @t42)) % 0.72/0.96 (define @t58 () (@quantifiers_skolemize @t57 0)) % 0.72/0.96 (define @t59 () (forall @t23 (or (not (_ @t58 @t38 @t37 @t36 @t35)) @t12))) % 0.72/0.96 (define @t60 () (@quantifiers_skolemize @t57 4)) % 0.72/0.96 (define @t61 () (@quantifiers_skolemize @t57 2)) % 0.72/0.96 (define @t62 () (= @t61 @t60)) % 0.72/0.96 (define @t63 () (@quantifiers_skolemize @t57 3)) % 0.72/0.96 (define @t64 () (@quantifiers_skolemize @t57 1)) % 0.72/0.96 (define @t65 () (= @t64 @t63)) % 0.72/0.96 (define @t66 () (and @t65 @t62)) % 0.72/0.96 (define @t67 () (_ @t58 @t64 @t61 @t63 @t60)) % 0.72/0.96 (define @t68 () (not @t67)) % 0.72/0.96 (define @t69 () (not @t59)) % 0.72/0.96 (define @t70 () (or @t69 @t68 @t66)) % 0.72/0.96 (define @t71 () (@list true)) % 0.72/0.96 (define @t72 () (@list @t70)) % 0.72/0.96 (define @t73 () (@var "BOUND_VARIABLE_16321" (-> tptp.a tptp.a tptp.a))) % 0.72/0.96 (define @t74 () (lambda (@list @t73) (_ @t73 @t63 @t60))) % 0.72/0.96 (define @t75 () (@purify @t74)) % 0.72/0.96 (define @t76 () (@var "BOUND_VARIABLE_15249" (-> tptp.a tptp.a tptp.a))) % 0.72/0.96 (define @t77 () (_ @t76 @t64 @t61)) % 0.72/0.96 (define @t78 () (@list @t76)) % 0.72/0.96 (define @t79 () (lambda @t78 @t77)) % 0.72/0.96 (define @t80 () (@purify @t79)) % 0.72/0.96 (define @t81 () (= @t74 @t79)) % 0.72/0.96 (define @t82 () (or @t68 @t81)) % 0.72/0.96 (define @t83 () (_ @t16 @t63 @t60)) % 0.72/0.96 (define @t84 () (_ @t74 @t16)) % 0.72/0.96 (define @t85 () (_ @t18 @t63 @t60)) % 0.72/0.96 (define @t86 () (_ @t74 @t18)) % 0.72/0.96 (define @t87 () (_ @t16 @t64 @t61)) % 0.72/0.96 (define @t88 () (_ @t79 @t16)) % 0.72/0.96 (define @t89 () (_ @t18 @t64 @t61)) % 0.72/0.96 (define @t90 () (_ @t79 @t18)) % 0.72/0.96 (define @t91 () (_ @t58 @t90 @t88 @t86 @t84)) % 0.72/0.96 (define @t92 () (not @t91)) % 0.72/0.96 (define @t93 () (or @t92 (= @t79 @t74))) % 0.72/0.96 (define @t94 () (= @t80 @t75)) % 0.72/0.96 (define @t95 () (or @t68 @t94)) % 0.72/0.96 (define @t96 () (@list false)) % 0.72/0.96 (define @t97 () (_ @t76 @t63 @t60)) % 0.72/0.96 (define @t98 () (forall @t78 (= @t77 @t97))) % 0.72/0.96 (define @t99 () (=> @t94 @t98)) % 0.72/0.96 (define @t100 () (forall @t78 (= @t97 @t77))) % 0.72/0.96 (define @t101 () (@var "BOUND_VARIABLE_68441" tptp.a)) % 0.72/0.96 (define @t102 () (@var "BOUND_VARIABLE_68442" tptp.a)) % 0.72/0.96 (define @t103 () (@list @t101 @t102)) % 0.72/0.96 (define @t104 () (lambda @t103 @t101)) % 0.72/0.96 (define @t105 () (_ @t104 @t64 @t61)) % 0.72/0.96 (define @t106 () (_ @t104 @t63 @t60)) % 0.72/0.96 (define @t107 () (= @t106 @t105)) % 0.72/0.96 (define @t108 () (not @t100)) % 0.72/0.96 (define @t109 () (@list true false)) % 0.72/0.96 (define @t110 () (lambda @t103 @t102)) % 0.72/0.96 (define @t111 () (_ @t110 @t64 @t61)) % 0.72/0.96 (define @t112 () (_ @t110 @t63 @t60)) % 0.72/0.96 (define @t113 () (= @t112 @t111)) % 0.72/0.96 (assume @p1 @t28) % 0.72/0.96 (assume @p2 true) % 0.72/0.96 (step @p3 :rule aci_norm :args ((= @t44 @t42))) % 0.72/0.96 (step @p4 :rule cong :premises (@p3) :args (@t46)) % 0.72/0.96 (step @p5 :rule quant-merge-prenex :args ((= (forall @t26 @t48) @t46))) % 0.72/0.96 (step @p6 :rule alpha_equiv :args (@t49 (@list @t32 @t30 @t31 @t29) (@list @t4 @t2 @t3 @t1))) % 0.72/0.96 (step @p7 :rule refl :args (@t41)) % 0.72/0.96 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t50)) % 0.72/0.96 (step @p9 :rule quant-miniscope-or :args ((= @t48 @t50))) % 0.72/0.96 (step @p10 :rule trans :premises (@p9 @p8)) % 0.72/0.96 (step @p11 :rule symm :premises (@p10)) % 0.72/0.96 (step @p12 :rule cong :premises (@p11) :args ((forall @t26 (or @t41 @t52)))) % 0.72/0.96 (step @p13 :rule trans :premises (@p12 @p5)) % 0.72/0.96 (step @p14 :rule trans :premises (@p13 @p4)) % 0.72/0.96 (step @p15 :rule bool-impl-elim :args (@t40 @t52)) % 0.72/0.96 (step @p16 :rule cong :premises (@p15) :args ((forall @t26 (=> @t40 @t52)))) % 0.72/0.96 (step @p17 :rule trans :premises (@p16 @p14)) % 0.72/0.96 (step @p18 :rule refl :args (@t5)) % 0.72/0.96 (step @p19 :rule refl :args (@t51)) % 0.72/0.96 (step @p20 :rule refl :args (@t7)) % 0.72/0.96 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t7 @t51))) % 0.72/0.96 (step @p22 :rule symm :premises (@p21)) % 0.72/0.96 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.72/0.96 (step @p24 :rule cong :premises (@p23) :args (@t53)) % 0.72/0.96 (step @p25 :rule nary_cong :premises (@p24 @p18) :args (@t54)) % 0.72/0.96 (step @p26 :rule cong :premises (@p25) :args ((forall @t8 @t54))) % 0.72/0.96 (step @p27 :rule bool-impl-elim :args (@t7 @t5)) % 0.72/0.96 (step @p28 :rule cong :premises (@p27) :args (@t9)) % 0.72/0.96 (step @p29 :rule trans :premises (@p28 @p26)) % 0.72/0.96 (step @p30 :rule refl :args (@t12)) % 0.72/0.96 (step @p31 :rule refl :args ((_ @t6 @t21 @t20 @t19 @t17))) % 0.72/0.96 (step @p32 :rule refl :args (@t35)) % 0.72/0.96 (step @p33 :rule refl :args (@t36)) % 0.72/0.96 (step @p34 :rule refl :args (@t37)) % 0.72/0.96 (step @p35 :rule refl :args (@t38)) % 0.72/0.96 (step @p36 :rule cong :premises (@p35 @p34 @p33 @p32) :args (@t39)) % 0.72/0.96 (step @p37 :rule trans :premises (@p36 @p31)) % 0.72/0.96 (step @p38 :rule refl :args (@t6)) % 0.72/0.96 (step @p39 :rule ho_cong :premises (@p38 @p35)) % 0.72/0.96 (step @p40 :rule ho_cong :premises (@p39 @p34)) % 0.72/0.96 (step @p41 :rule ho_cong :premises (@p40 @p33)) % 0.72/0.96 (step @p42 :rule ho_cong :premises (@p41 @p32)) % 0.72/0.96 (step @p43 :rule cong :premises (@p42 @p37) :args ((= (_ (_ (_ (_ @t6 @t38) @t37) @t36) @t35) @t39))) % 0.72/0.96 (step @p44 :rule symm :premises (@p43)) % 0.72/0.96 (step @p45 :rule refl :args (@t22)) % 0.72/0.96 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 0.72/0.96 (step @p47 :rule refl :args (@t17)) % 0.72/0.96 (step @p48 :rule cong :premises (@p47 @p32) :args ((= @t17 @t35))) % 0.72/0.96 (step @p49 :rule symm :premises (@p48)) % 0.72/0.96 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.72/0.96 (step @p51 :rule refl :args (@t19)) % 0.72/0.96 (step @p52 :rule cong :premises (@p51 @p33) :args ((= @t19 @t36))) % 0.72/0.96 (step @p53 :rule symm :premises (@p52)) % 0.72/0.96 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.72/0.96 (step @p55 :rule refl :args (@t20)) % 0.72/0.96 (step @p56 :rule cong :premises (@p55 @p34) :args ((= @t20 @t37))) % 0.72/0.96 (step @p57 :rule symm :premises (@p56)) % 0.72/0.96 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 0.72/0.96 (step @p59 :rule refl :args (@t21)) % 0.72/0.96 (step @p60 :rule cong :premises (@p59 @p35) :args ((= @t21 @t38))) % 0.72/0.96 (step @p61 :rule symm :premises (@p60)) % 0.72/0.96 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 0.72/0.96 (step @p63 :rule ho_cong :premises (@p38 @p62)) % 0.72/0.96 (step @p64 :rule ho_cong :premises (@p63 @p58)) % 0.72/0.96 (step @p65 :rule ho_cong :premises (@p64 @p54)) % 0.72/0.96 (step @p66 :rule ho_cong :premises (@p65 @p50)) % 0.72/0.96 (step @p67 :rule trans :premises (@p66 @p46)) % 0.72/0.96 (step @p68 :rule cong :premises (@p67) :args (@t55)) % 0.72/0.96 (step @p69 :rule nary_cong :premises (@p68 @p30) :args (@t56)) % 0.72/0.96 (step @p70 :rule cong :premises (@p69) :args ((forall @t23 @t56))) % 0.72/0.96 (step @p71 :rule bool-impl-elim :args (@t22 @t12)) % 0.72/0.96 (step @p72 :rule cong :premises (@p71) :args (@t24)) % 0.72/0.96 (step @p73 :rule trans :premises (@p72 @p70)) % 0.72/0.96 (step @p74 :rule cong :premises (@p73 @p29) :args (@t25)) % 0.72/0.96 (step @p75 :rule cong :premises (@p74) :args (@t27)) % 0.72/0.96 (step @p76 :rule trans :premises (@p75 @p17)) % 0.72/0.96 (step @p77 :rule cong :premises (@p76) :args (@t28)) % 0.72/0.96 (step @p78 :rule eq_resolve :premises (@p1 @p77)) % 0.72/0.96 (step @p79 :rule skolemize :premises (@p78)) % 0.72/0.96 (step @p80 :rule bool-double-not-elim :args (@t59)) % 0.72/0.96 (step @p81 :rule refl :args (@t70)) % 0.72/0.96 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t70 (not @t69)))) % 0.72/0.96 (step @p83 :rule cnf_or_neg :args (@t70 0)) % 0.72/0.96 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 0.72/0.96 (step @p85 :rule reordering :premises (@p84) :args ((or @t59 @t70))) % 0.72/0.96 (step @p86 :rule chain_m_resolution :premises (@p85 @p79) :args (@t59 @t71 @t72)) % 0.72/0.96 (step @p87 :rule eq-symm :args (@t75 @t80)) % 0.72/0.96 (step @p88 :rule eq-refl :args (@t79)) % 0.72/0.96 (step @p89 :rule skolem_intro :args (@t80)) % 0.72/0.96 (step @p90 :rule refl :args (@t79)) % 0.72/0.96 (step @p91 :rule cong :premises (@p90 @p89) :args ((= @t79 @t80))) % 0.72/0.96 (step @p92 :rule trans :premises (@p91 @p88)) % 0.72/0.96 (step @p93 :rule true_elim :premises (@p92)) % 0.72/0.96 (step @p94 :rule eq-refl :args (@t74)) % 0.72/0.96 (step @p95 :rule skolem_intro :args (@t75)) % 0.72/0.96 (step @p96 :rule refl :args (@t74)) % 0.72/0.96 (step @p97 :rule cong :premises (@p96 @p95) :args ((= @t74 @t75))) % 0.72/0.96 (step @p98 :rule trans :premises (@p97 @p94)) % 0.72/0.96 (step @p99 :rule true_elim :premises (@p98)) % 0.72/0.96 (step @p100 :rule cong :premises (@p99 @p93) :args (@t81)) % 0.72/0.96 (step @p101 :rule trans :premises (@p100 @p87)) % 0.72/0.96 (step @p102 :rule refl :args (@t68)) % 0.72/0.96 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t82)) % 0.72/0.96 (step @p104 :rule refl :args (@t59)) % 0.72/0.96 (step @p105 :rule cong :premises (@p104 @p103) :args ((=> @t59 @t82))) % 0.72/0.96 (step @p106 :rule eq-symm :args (@t79 @t74)) % 0.72/0.96 (step @p107 :rule beta-reduce :args ((= @t83 @t60))) % 0.72/0.96 (step @p108 :rule beta-reduce :args ((= @t84 @t83))) % 0.72/0.96 (step @p109 :rule trans :premises (@p108 @p107)) % 0.72/0.96 (step @p110 :rule beta-reduce :args ((= @t85 @t63))) % 0.72/0.96 (step @p111 :rule beta-reduce :args ((= @t86 @t85))) % 0.72/0.96 (step @p112 :rule trans :premises (@p111 @p110)) % 0.72/0.96 (step @p113 :rule beta-reduce :args ((= @t87 @t61))) % 0.72/0.96 (step @p114 :rule beta-reduce :args ((= @t88 @t87))) % 0.72/0.96 (step @p115 :rule trans :premises (@p114 @p113)) % 0.72/0.96 (step @p116 :rule beta-reduce :args ((= @t89 @t64))) % 0.72/0.96 (step @p117 :rule beta-reduce :args ((= @t90 @t89))) % 0.72/0.96 (step @p118 :rule trans :premises (@p117 @p116)) % 0.72/0.96 (step @p119 :rule cong :premises (@p118 @p115 @p112 @p109) :args (@t91)) % 0.72/0.96 (step @p120 :rule cong :premises (@p119) :args (@t92)) % 0.72/0.96 (step @p121 :rule nary_cong :premises (@p120 @p106) :args (@t93)) % 0.72/0.96 (step @p122 :rule cong :premises (@p104 @p121) :args ((=> @t59 @t93))) % 0.72/0.96 (assume-push @p181 @t59) % 0.72/0.96 (step @p124 :rule instantiate :premises (@p86) :args ((@list @t79 @t74))) % 0.72/0.96 (step-pop @p182 :rule scope :premises (@p124)) % 0.72/0.96 (step @p125 :rule process_scope :premises (@p182) :args (@t93)) % 0.72/0.96 (step @p127 :rule eq_resolve :premises (@p125 @p122)) % 0.72/0.96 (step @p128 :rule eq_resolve :premises (@p127 @p105)) % 0.72/0.96 (step @p129 :rule implies_elim :premises (@p128)) % 0.72/0.96 (step @p130 :rule chain_m_resolution :premises (@p129 @p86) :args (@t95 @t96 (@list @t59))) % 0.72/0.96 (step @p131 :rule bool-double-not-elim :args (@t67)) % 0.72/0.96 (step @p132 :rule nary_cong :premises (@p81 @p131) :args ((or @t70 (not @t68)))) % 0.72/0.96 (step @p133 :rule cnf_or_neg :args (@t70 1)) % 0.72/0.96 (step @p134 :rule eq_resolve :premises (@p133 @p132)) % 0.72/0.96 (step @p135 :rule reordering :premises (@p134) :args ((or @t67 @t70))) % 0.72/0.96 (step @p136 :rule chain_m_resolution :premises (@p135 @p79) :args (@t67 @t71 @t72)) % 0.72/0.96 (step @p137 :rule cnf_or_pos :args (@t95)) % 0.72/0.96 (step @p138 :rule reordering :premises (@p137) :args ((or @t68 @t94 (not @t95)))) % 0.72/0.96 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p130) :args (@t94 (@list false false) (@list @t67 @t95))) % 0.72/0.96 (step @p140 :rule eq-symm :args (@t77 @t97)) % 0.72/0.96 (step @p141 :rule cong :premises (@p140) :args (@t98)) % 0.72/0.96 (step @p142 :rule refl :args (@t94)) % 0.72/0.96 (step @p143 :rule cong :premises (@p142 @p141) :args (@t99)) % 0.72/0.96 ; WARNING: add trust step for TRUST % 0.72/0.96 ; trust TRUST THEORY_LEMMA % 0.72/0.96 (step @p144 :rule trust :premises () :args (@t99)) % 0.72/0.96 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 0.72/0.96 (step @p146 :rule implies_elim :premises (@p145)) % 0.72/0.96 (step @p147 :rule chain_m_resolution :premises (@p146 @p139) :args (@t100 @t96 (@list @t94))) % 0.72/0.96 (step @p148 :rule eq-symm :args (@t63 @t64)) % 0.72/0.96 (step @p149 :rule beta-reduce :args ((= @t105 @t64))) % 0.72/0.96 (step @p150 :rule beta-reduce :args ((= @t106 @t63))) % 0.72/0.96 (step @p151 :rule cong :premises (@p150 @p149) :args (@t107)) % 0.72/0.96 (step @p152 :rule trans :premises (@p151 @p148)) % 0.72/0.96 (step @p153 :rule refl :args (@t100)) % 0.72/0.96 (step @p154 :rule cong :premises (@p153 @p152) :args ((=> @t100 @t107))) % 0.72/0.96 (assume-push @p183 @t100) % 0.72/0.96 (step @p156 :rule instantiate :premises (@p147) :args ((@list @t104))) % 0.72/0.96 (step-pop @p184 :rule scope :premises (@p156)) % 0.72/0.96 (step @p157 :rule process_scope :premises (@p184) :args (@t107)) % 0.72/0.96 (step @p159 :rule eq_resolve :premises (@p157 @p154)) % 0.72/0.96 (step @p160 :rule implies_elim :premises (@p159)) % 0.72/0.96 (step @p161 :rule reordering :premises (@p160) :args ((or @t65 @t108))) % 0.72/0.96 (step @p162 :rule chain_m_resolution :premises (@p161 @p147) :args (@t65 @t96 (@list @t100))) % 0.72/0.96 (step @p163 :rule cnf_or_neg :args (@t70 2)) % 0.72/0.96 (step @p164 :rule chain_m_resolution :premises (@p163 @p79) :args ((not @t66) @t71 @t72)) % 0.72/0.96 (step @p165 :rule cnf_and_neg :args (@t66)) % 0.72/0.96 (step @p166 :rule chain_m_resolution :premises (@p165 @p164 @p162) :args ((not @t62) @t109 (@list @t66 @t65))) % 0.72/0.96 (step @p167 :rule eq-symm :args (@t60 @t61)) % 0.72/0.96 (step @p168 :rule beta-reduce :args ((= @t111 @t61))) % 0.72/0.96 (step @p169 :rule beta-reduce :args ((= @t112 @t60))) % 0.72/0.96 (step @p170 :rule cong :premises (@p169 @p168) :args (@t113)) % 0.72/0.96 (step @p171 :rule trans :premises (@p170 @p167)) % 0.72/0.96 (step @p172 :rule cong :premises (@p153 @p171) :args ((=> @t100 @t113))) % 0.72/0.96 (assume-push @p185 @t100) % 0.72/0.96 (step @p174 :rule instantiate :premises (@p147) :args ((@list @t110))) % 0.72/0.96 (step-pop @p186 :rule scope :premises (@p174)) % 0.72/0.96 (step @p175 :rule process_scope :premises (@p186) :args (@t113)) % 0.72/0.96 (step @p177 :rule eq_resolve :premises (@p175 @p172)) % 0.72/0.96 (step @p178 :rule implies_elim :premises (@p177)) % 0.72/0.96 (step @p179 :rule reordering :premises (@p178) :args ((or @t62 @t108))) % 0.72/0.96 (step @p180 false :rule chain_m_resolution :premises (@p179 @p166 @p147) :args (false @t109 (@list @t62 @t100))) % 0.72/0.96 ) % 0.72/0.96 % SZS output end Proof % 0.72/0.96 % cvc5 exiting %------------------------------------------------------------------------------