%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU889^5 : 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 : n017.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 08:53:29 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU889^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:56:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.38/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort tptp.c 0) % 0.38/0.56 (declare-sort tptp.b 0) % 0.38/0.56 (declare-sort tptp.a 0) % 0.38/0.56 (declare-const tptp.cS (-> tptp.c Bool)) % 0.38/0.56 (declare-const tptp.cF (-> tptp.b tptp.a)) % 0.38/0.56 (declare-const tptp.cG (-> tptp.c tptp.b)) % 0.38/0.56 (define @t1 () (@var "Xt" tptp.c)) % 0.38/0.56 (define @t2 () (_ tptp.cG @t1)) % 0.38/0.56 (define @t3 () (_ tptp.cF @t2)) % 0.38/0.56 (define @t4 () (@var "Xx" tptp.a)) % 0.38/0.56 (define @t5 () (= @t4 @t3)) % 0.38/0.56 (define @t6 () (_ tptp.cS @t1)) % 0.38/0.56 (define @t7 () (and @t6 @t5)) % 0.38/0.56 (define @t8 () (@list @t1)) % 0.38/0.56 (define @t9 () (exists @t8 @t7)) % 0.38/0.56 (define @t10 () (@var "Xt" tptp.b)) % 0.38/0.56 (define @t11 () (_ tptp.cF @t10)) % 0.38/0.56 (define @t12 () (= @t4 @t11)) % 0.38/0.56 (define @t13 () (@var "Xt0" tptp.c)) % 0.38/0.56 (define @t14 () (_ tptp.cG @t13)) % 0.38/0.56 (define @t15 () (= @t10 @t14)) % 0.38/0.56 (define @t16 () (_ tptp.cS @t13)) % 0.38/0.56 (define @t17 () (and @t16 @t15)) % 0.38/0.56 (define @t18 () (@list @t13)) % 0.38/0.56 (define @t19 () (exists @t18 @t17)) % 0.38/0.56 (define @t20 () (and @t19 @t12)) % 0.38/0.56 (define @t21 () (@list @t10)) % 0.38/0.56 (define @t22 () (exists @t21 @t20)) % 0.38/0.56 (define @t23 () (=> @t22 @t9)) % 0.38/0.56 (define @t24 () (@list @t4)) % 0.38/0.56 (define @t25 () (forall @t24 @t23)) % 0.38/0.56 (define @t26 () (not @t25)) % 0.38/0.56 (define @t27 () (@var "BOUND_VARIABLE_7515" tptp.c)) % 0.38/0.56 (define @t28 () (not (tptp.cS @t27))) % 0.38/0.56 (define @t29 () (tptp.cF (tptp.cG @t27))) % 0.38/0.56 (define @t30 () (tptp.cG @t1)) % 0.38/0.56 (define @t31 () (tptp.cF @t30)) % 0.38/0.56 (define @t32 () (tptp.cS @t1)) % 0.38/0.56 (define @t33 () (not @t32)) % 0.38/0.56 (define @t34 () (not (forall @t8 (or @t33 (not (= @t31 @t29)))))) % 0.38/0.56 (define @t35 () (or @t34 @t28)) % 0.38/0.56 (define @t36 () (not (= @t29 @t29))) % 0.38/0.56 (define @t37 () (not (= @t29 @t31))) % 0.38/0.56 (define @t38 () (or @t33 @t37)) % 0.38/0.56 (define @t39 () (forall @t8 @t38)) % 0.38/0.56 (define @t40 () (not @t39)) % 0.38/0.56 (define @t41 () (or @t40 @t36 @t28)) % 0.38/0.56 (define @t42 () (@list @t27)) % 0.38/0.56 (define @t43 () (not (= @t4 @t29))) % 0.38/0.56 (define @t44 () (not (forall @t8 (or @t33 (not (= @t4 @t31)))))) % 0.38/0.56 (define @t45 () (or @t43 @t44 @t43 @t28)) % 0.38/0.56 (define @t46 () (or @t44 @t43 @t28)) % 0.38/0.56 (define @t47 () (forall @t24 @t46)) % 0.38/0.56 (define @t48 () (forall @t42 @t47)) % 0.38/0.56 (define @t49 () (forall (@list @t27 @t4) @t46)) % 0.38/0.56 (define @t50 () (@list @t4 @t27)) % 0.38/0.56 (define @t51 () (or @t43 @t28)) % 0.38/0.56 (define @t52 () (or @t51 @t44)) % 0.38/0.56 (define @t53 () (forall @t50 @t52)) % 0.38/0.56 (define @t54 () (forall @t42 @t52)) % 0.38/0.56 (define @t55 () (forall @t42 @t51)) % 0.38/0.56 (define @t56 () (@var "BOUND_VARIABLE_7469" tptp.c)) % 0.38/0.56 (define @t57 () (@list @t56)) % 0.38/0.56 (define @t58 () (or @t55 @t44)) % 0.38/0.56 (define @t59 () (not (tptp.cS @t56))) % 0.38/0.56 (define @t60 () (tptp.cG @t56)) % 0.38/0.56 (define @t61 () (not (= @t4 (tptp.cF @t60)))) % 0.38/0.56 (define @t62 () (or @t61 @t59)) % 0.38/0.56 (define @t63 () (@list @t56)) % 0.38/0.56 (define @t64 () (forall @t63 @t62)) % 0.38/0.56 (define @t65 () (not @t64)) % 0.38/0.56 (define @t66 () (not @t5)) % 0.38/0.56 (define @t67 () (not @t6)) % 0.38/0.56 (define @t68 () (or @t67 @t66)) % 0.38/0.56 (define @t69 () (forall @t8 (not @t7))) % 0.38/0.56 (define @t70 () (not @t69)) % 0.38/0.56 (define @t71 () (not (= @t60 @t60))) % 0.38/0.56 (define @t72 () (or @t61 @t59 @t71)) % 0.38/0.56 (define @t73 () (not (= @t10 @t60))) % 0.38/0.56 (define @t74 () (tptp.cF @t10)) % 0.38/0.56 (define @t75 () (not (= @t4 @t74))) % 0.38/0.56 (define @t76 () (or @t73 @t75 @t59 @t73)) % 0.38/0.56 (define @t77 () (or @t75 @t59 @t73)) % 0.38/0.56 (define @t78 () (forall @t21 @t77)) % 0.38/0.56 (define @t79 () (forall @t63 @t78)) % 0.38/0.56 (define @t80 () (forall (@list @t56 @t10) @t77)) % 0.38/0.56 (define @t81 () (@list @t10 @t56)) % 0.38/0.56 (define @t82 () (or @t59 @t73)) % 0.38/0.56 (define @t83 () (or @t82 @t75)) % 0.38/0.56 (define @t84 () (forall @t81 @t83)) % 0.38/0.56 (define @t85 () (forall @t63 @t83)) % 0.38/0.56 (define @t86 () (forall @t63 @t82)) % 0.38/0.56 (define @t87 () (or @t86 @t75)) % 0.38/0.56 (define @t88 () (tptp.cG @t13)) % 0.38/0.56 (define @t89 () (tptp.cS @t13)) % 0.38/0.56 (define @t90 () (forall @t18 (or (not @t89) (not (= @t10 @t88))))) % 0.38/0.56 (define @t91 () (not @t12)) % 0.38/0.56 (define @t92 () (or @t90 @t91)) % 0.38/0.56 (define @t93 () (not @t90)) % 0.38/0.56 (define @t94 () (and @t93 @t12)) % 0.38/0.56 (define @t95 () (forall @t21 (not @t94))) % 0.38/0.56 (define @t96 () (not @t95)) % 0.38/0.56 (define @t97 () (not @t15)) % 0.38/0.56 (define @t98 () (not @t16)) % 0.38/0.56 (define @t99 () (or @t98 @t97)) % 0.38/0.56 (define @t100 () (forall @t18 (not @t17))) % 0.38/0.56 (define @t101 () (not @t100)) % 0.38/0.56 (define @t102 () (@quantifiers_skolemize (forall @t42 @t35) 0)) % 0.38/0.56 (define @t103 () (tptp.cF (tptp.cG @t102))) % 0.38/0.56 (define @t104 () (forall @t8 (or @t33 (not (= @t31 @t103))))) % 0.38/0.56 (define @t105 () (tptp.cS @t102)) % 0.38/0.56 (define @t106 () (not @t105)) % 0.38/0.56 (define @t107 () (not @t104)) % 0.38/0.56 (define @t108 () (or @t107 @t106)) % 0.38/0.56 (define @t109 () (@list true)) % 0.38/0.56 (define @t110 () (@list @t108)) % 0.38/0.56 (define @t111 () (not (= @t103 @t103))) % 0.38/0.56 (define @t112 () (or @t106 @t111)) % 0.38/0.56 (assume @p1 @t26) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 :rule aci_norm :args ((= (or @t34 false @t28) @t35))) % 0.38/0.56 (step @p4 :rule refl :args (@t28)) % 0.38/0.56 (step @p5 :rule evaluate :args ((not true))) % 0.38/0.56 (step @p6 :rule eq-refl :args (@t29)) % 0.38/0.56 (step @p7 :rule cong :premises (@p6) :args (@t36)) % 0.38/0.56 (step @p8 :rule trans :premises (@p7 @p5)) % 0.38/0.56 (step @p9 :rule eq-symm :args (@t29 @t31)) % 0.38/0.56 (step @p10 :rule cong :premises (@p9) :args (@t37)) % 0.38/0.56 (step @p11 :rule refl :args (@t33)) % 0.38/0.56 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t38)) % 0.38/0.56 (step @p13 :rule cong :premises (@p12) :args (@t39)) % 0.38/0.56 (step @p14 :rule cong :premises (@p13) :args (@t40)) % 0.38/0.56 (step @p15 :rule nary_cong :premises (@p14 @p8 @p4) :args (@t41)) % 0.38/0.56 (step @p16 :rule trans :premises (@p15 @p3)) % 0.38/0.56 (step @p17 :rule cong :premises (@p16) :args ((forall @t42 @t41))) % 0.38/0.56 (step @p18 :rule quant-var-elim-eq :args ((= (forall @t24 @t45) @t41))) % 0.38/0.56 (step @p19 :rule aci_norm :args ((= @t46 @t45))) % 0.38/0.56 (step @p20 :rule cong :premises (@p19) :args (@t47)) % 0.38/0.56 (step @p21 :rule trans :premises (@p20 @p18)) % 0.38/0.56 (step @p22 :rule cong :premises (@p21) :args (@t48)) % 0.38/0.56 (step @p23 :rule quant-merge-prenex :args ((= @t48 @t49))) % 0.38/0.56 (step @p24 :rule symm :premises (@p23)) % 0.38/0.56 (step @p25 :rule quant_var_reordering :args ((= (forall @t50 @t46) @t49))) % 0.38/0.56 (step @p26 :rule trans :premises (@p25 @p24 @p22)) % 0.38/0.56 (step @p27 :rule trans :premises (@p26 @p17)) % 0.38/0.56 (step @p28 :rule aci_norm :args ((= @t52 @t46))) % 0.38/0.56 (step @p29 :rule cong :premises (@p28) :args (@t53)) % 0.38/0.56 (step @p30 :rule trans :premises (@p29 @p27)) % 0.38/0.56 (step @p31 :rule quant-merge-prenex :args ((= (forall @t24 @t54) @t53))) % 0.38/0.56 (step @p32 :rule refl :args (@t44)) % 0.38/0.56 (step @p33 :rule alpha_equiv :args (@t55 (@list @t27) @t57)) % 0.38/0.56 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t58)) % 0.38/0.56 (step @p35 :rule quant-miniscope-or :args ((= @t54 @t58))) % 0.38/0.56 (step @p36 :rule trans :premises (@p35 @p34)) % 0.38/0.56 (step @p37 :rule symm :premises (@p36)) % 0.38/0.56 (step @p38 :rule cong :premises (@p37) :args ((forall @t24 (or @t64 @t44)))) % 0.38/0.56 (step @p39 :rule trans :premises (@p38 @p31)) % 0.38/0.56 (step @p40 :rule trans :premises (@p39 @p30)) % 0.38/0.56 (step @p41 :rule bool-double-not-elim :args (@t64)) % 0.38/0.56 (step @p42 :rule nary_cong :premises (@p41 @p32) :args ((or (not @t65) @t44))) % 0.38/0.56 (step @p43 :rule bool-impl-elim :args (@t65 @t44)) % 0.38/0.56 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.56 (step @p45 :rule cong :premises (@p44) :args ((forall @t24 (=> @t65 @t44)))) % 0.38/0.56 (step @p46 :rule trans :premises (@p45 @p40)) % 0.38/0.56 (step @p47 :rule refl :args ((tptp.cF @t2))) % 0.38/0.56 (step @p48 :rule refl :args (@t30)) % 0.38/0.56 (step @p49 :rule cong :premises (@p48) :args (@t31)) % 0.38/0.56 (step @p50 :rule trans :premises (@p49 @p47)) % 0.38/0.56 (step @p51 :rule refl :args (tptp.cF)) % 0.38/0.56 (step @p52 :rule ho_cong :premises (@p51 @p48)) % 0.38/0.56 (step @p53 :rule cong :premises (@p52 @p50) :args ((= (_ tptp.cF @t30) @t31))) % 0.38/0.56 (step @p54 :rule symm :premises (@p53)) % 0.38/0.56 (step @p55 :rule refl :args (@t3)) % 0.38/0.56 (step @p56 :rule eq_resolve :premises (@p55 @p54)) % 0.38/0.56 (step @p57 :rule refl :args (@t2)) % 0.38/0.56 (step @p58 :rule cong :premises (@p57 @p48) :args ((= @t2 @t30))) % 0.38/0.56 (step @p59 :rule symm :premises (@p58)) % 0.38/0.56 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 0.38/0.56 (step @p61 :rule ho_cong :premises (@p51 @p60)) % 0.38/0.56 (step @p62 :rule trans :premises (@p61 @p56)) % 0.38/0.56 (step @p63 :rule refl :args (@t4)) % 0.38/0.56 (step @p64 :rule cong :premises (@p63 @p62) :args (@t5)) % 0.38/0.56 (step @p65 :rule cong :premises (@p64) :args (@t66)) % 0.38/0.56 (step @p66 :rule refl :args (@t32)) % 0.38/0.56 (step @p67 :rule refl :args (@t6)) % 0.38/0.56 (step @p68 :rule cong :premises (@p67 @p66) :args ((= @t6 @t32))) % 0.38/0.56 (step @p69 :rule symm :premises (@p68)) % 0.38/0.56 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 0.38/0.56 (step @p71 :rule cong :premises (@p70) :args (@t67)) % 0.38/0.56 (step @p72 :rule nary_cong :premises (@p71 @p65) :args (@t68)) % 0.38/0.56 (step @p73 :rule cong :premises (@p72) :args ((forall @t8 @t68))) % 0.38/0.56 (step @p74 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 0.38/0.56 (step @p75 :rule cong :premises (@p74) :args (@t69)) % 0.38/0.56 (step @p76 :rule trans :premises (@p75 @p73)) % 0.38/0.56 (step @p77 :rule cong :premises (@p76) :args (@t70)) % 0.38/0.56 (step @p78 :rule exists-elim :args ((= @t9 @t70))) % 0.38/0.56 (step @p79 :rule trans :premises (@p78 @p77)) % 0.38/0.56 (step @p80 :rule aci_norm :args ((= (or @t61 @t59 false) @t62))) % 0.38/0.56 (step @p81 :rule eq-refl :args (@t60)) % 0.38/0.56 (step @p82 :rule cong :premises (@p81) :args (@t71)) % 0.38/0.56 (step @p83 :rule trans :premises (@p82 @p5)) % 0.38/0.56 (step @p84 :rule refl :args (@t59)) % 0.38/0.56 (step @p85 :rule refl :args (@t61)) % 0.38/0.56 (step @p86 :rule nary_cong :premises (@p85 @p84 @p83) :args (@t72)) % 0.38/0.56 (step @p87 :rule trans :premises (@p86 @p80)) % 0.38/0.56 (step @p88 :rule cong :premises (@p87) :args ((forall @t63 @t72))) % 0.38/0.56 (step @p89 :rule quant-var-elim-eq :args ((= (forall @t21 @t76) @t72))) % 0.38/0.56 (step @p90 :rule aci_norm :args ((= @t77 @t76))) % 0.38/0.56 (step @p91 :rule cong :premises (@p90) :args (@t78)) % 0.38/0.56 (step @p92 :rule trans :premises (@p91 @p89)) % 0.38/0.56 (step @p93 :rule cong :premises (@p92) :args (@t79)) % 0.38/0.56 (step @p94 :rule quant-merge-prenex :args ((= @t79 @t80))) % 0.38/0.56 (step @p95 :rule symm :premises (@p94)) % 0.38/0.56 (step @p96 :rule quant_var_reordering :args ((= (forall @t81 @t77) @t80))) % 0.38/0.56 (step @p97 :rule trans :premises (@p96 @p95 @p93)) % 0.38/0.56 (step @p98 :rule trans :premises (@p97 @p88)) % 0.38/0.56 (step @p99 :rule aci_norm :args ((= @t83 @t77))) % 0.38/0.56 (step @p100 :rule cong :premises (@p99) :args (@t84)) % 0.38/0.56 (step @p101 :rule trans :premises (@p100 @p98)) % 0.38/0.56 (step @p102 :rule quant-merge-prenex :args ((= (forall @t21 @t85) @t84))) % 0.38/0.56 (step @p103 :rule refl :args (@t75)) % 0.38/0.56 (step @p104 :rule alpha_equiv :args (@t86 @t57 (@list @t13))) % 0.38/0.56 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t87)) % 0.38/0.56 (step @p106 :rule quant-miniscope-or :args ((= @t85 @t87))) % 0.38/0.56 (step @p107 :rule trans :premises (@p106 @p105)) % 0.38/0.56 (step @p108 :rule symm :premises (@p107)) % 0.38/0.56 (step @p109 :rule cong :premises (@p108) :args ((forall @t21 (or @t90 @t75)))) % 0.38/0.56 (step @p110 :rule trans :premises (@p109 @p102)) % 0.38/0.56 (step @p111 :rule trans :premises (@p110 @p101)) % 0.38/0.56 (step @p112 :rule refl :args (@t74)) % 0.38/0.56 (step @p113 :rule refl :args (@t11)) % 0.38/0.56 (step @p114 :rule cong :premises (@p113 @p112) :args ((= @t11 @t74))) % 0.38/0.56 (step @p115 :rule symm :premises (@p114)) % 0.38/0.56 (step @p116 :rule eq_resolve :premises (@p113 @p115)) % 0.38/0.56 (step @p117 :rule cong :premises (@p63 @p116) :args (@t12)) % 0.38/0.56 (step @p118 :rule cong :premises (@p117) :args (@t91)) % 0.38/0.56 (step @p119 :rule refl :args (@t90)) % 0.38/0.56 (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t92)) % 0.38/0.56 (step @p121 :rule cong :premises (@p120) :args ((forall @t21 @t92))) % 0.38/0.56 (step @p122 :rule trans :premises (@p121 @p111)) % 0.38/0.56 (step @p123 :rule refl :args (@t91)) % 0.38/0.56 (step @p124 :rule bool-double-not-elim :args (@t90)) % 0.38/0.56 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or (not @t93) @t91))) % 0.38/0.56 (step @p126 :rule bool-and-de-morgan :args (@t93 @t12 true)) % 0.38/0.56 (step @p127 :rule trans :premises (@p126 @p125)) % 0.38/0.56 (step @p128 :rule cong :premises (@p127) :args (@t95)) % 0.38/0.56 (step @p129 :rule trans :premises (@p128 @p122)) % 0.38/0.56 (step @p130 :rule cong :premises (@p129) :args (@t96)) % 0.38/0.56 (step @p131 :rule exists-elim :args ((= (exists @t21 @t94) @t96))) % 0.38/0.56 (step @p132 :rule trans :premises (@p131 @p130)) % 0.38/0.56 (step @p133 :rule refl :args (@t12)) % 0.38/0.56 (step @p134 :rule refl :args (@t88)) % 0.38/0.56 (step @p135 :rule refl :args (@t14)) % 0.38/0.56 (step @p136 :rule cong :premises (@p135 @p134) :args ((= @t14 @t88))) % 0.38/0.56 (step @p137 :rule symm :premises (@p136)) % 0.38/0.56 (step @p138 :rule eq_resolve :premises (@p135 @p137)) % 0.38/0.56 (step @p139 :rule refl :args (@t10)) % 0.38/0.56 (step @p140 :rule cong :premises (@p139 @p138) :args (@t15)) % 0.38/0.56 (step @p141 :rule cong :premises (@p140) :args (@t97)) % 0.38/0.56 (step @p142 :rule refl :args (@t89)) % 0.38/0.56 (step @p143 :rule refl :args (@t16)) % 0.38/0.56 (step @p144 :rule cong :premises (@p143 @p142) :args ((= @t16 @t89))) % 0.38/0.56 (step @p145 :rule symm :premises (@p144)) % 0.38/0.56 (step @p146 :rule eq_resolve :premises (@p143 @p145)) % 0.38/0.56 (step @p147 :rule cong :premises (@p146) :args (@t98)) % 0.38/0.56 (step @p148 :rule nary_cong :premises (@p147 @p141) :args (@t99)) % 0.38/0.56 (step @p149 :rule cong :premises (@p148) :args ((forall @t18 @t99))) % 0.38/0.56 (step @p150 :rule bool-and-de-morgan :args (@t16 @t15 true)) % 0.38/0.56 (step @p151 :rule cong :premises (@p150) :args (@t100)) % 0.38/0.56 (step @p152 :rule trans :premises (@p151 @p149)) % 0.38/0.56 (step @p153 :rule cong :premises (@p152) :args (@t101)) % 0.38/0.56 (step @p154 :rule exists-elim :args ((= @t19 @t101))) % 0.38/0.56 (step @p155 :rule trans :premises (@p154 @p153)) % 0.38/0.56 (step @p156 :rule nary_cong :premises (@p155 @p133) :args (@t20)) % 0.38/0.56 (step @p157 :rule cong :premises (@p156) :args (@t22)) % 0.38/0.56 (step @p158 :rule trans :premises (@p157 @p132)) % 0.38/0.56 (step @p159 :rule cong :premises (@p158 @p79) :args (@t23)) % 0.38/0.56 (step @p160 :rule cong :premises (@p159) :args (@t25)) % 0.38/0.56 (step @p161 :rule trans :premises (@p160 @p46)) % 0.38/0.56 (step @p162 :rule cong :premises (@p161) :args (@t26)) % 0.38/0.56 (step @p163 :rule eq_resolve :premises (@p1 @p162)) % 0.38/0.56 (step @p164 :rule skolemize :premises (@p163)) % 0.38/0.56 (step @p165 :rule bool-double-not-elim :args (@t104)) % 0.38/0.56 (step @p166 :rule refl :args (@t108)) % 0.38/0.56 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or @t108 (not @t107)))) % 0.38/0.56 (step @p168 :rule cnf_or_neg :args (@t108 0)) % 0.38/0.56 (step @p169 :rule eq_resolve :premises (@p168 @p167)) % 0.38/0.56 (step @p170 :rule reordering :premises (@p169) :args ((or @t104 @t108))) % 0.38/0.56 (step @p171 :rule chain_m_resolution :premises (@p170 @p164) :args (@t104 @t109 @t110)) % 0.38/0.56 (step @p172 :rule bool-double-not-elim :args (@t105)) % 0.38/0.56 (step @p173 :rule nary_cong :premises (@p166 @p172) :args ((or @t108 (not @t106)))) % 0.38/0.56 (step @p174 :rule cnf_or_neg :args (@t108 1)) % 0.38/0.56 (step @p175 :rule eq_resolve :premises (@p174 @p173)) % 0.38/0.56 (step @p176 :rule reordering :premises (@p175) :args ((or @t105 @t108))) % 0.38/0.56 (step @p177 :rule chain_m_resolution :premises (@p176 @p164) :args (@t105 @t109 @t110)) % 0.38/0.56 (step @p178 :rule aci_norm :args ((= (or @t106 false) @t106))) % 0.38/0.56 (step @p179 :rule eq-refl :args (@t103)) % 0.38/0.56 (step @p180 :rule cong :premises (@p179) :args (@t111)) % 0.38/0.56 (step @p181 :rule trans :premises (@p180 @p5)) % 0.38/0.56 (step @p182 :rule refl :args (@t106)) % 0.38/0.56 (step @p183 :rule nary_cong :premises (@p182 @p181) :args (@t112)) % 0.38/0.56 (step @p184 :rule trans :premises (@p183 @p178)) % 0.38/0.56 (step @p185 :rule refl :args (@t104)) % 0.38/0.56 (step @p186 :rule cong :premises (@p185 @p184) :args ((=> @t104 @t112))) % 0.38/0.56 (assume-push @p194 @t104) % 0.38/0.56 (step @p188 :rule instantiate :premises (@p171) :args ((@list @t102))) % 0.38/0.56 (step-pop @p195 :rule scope :premises (@p188)) % 0.38/0.56 (step @p189 :rule process_scope :premises (@p195) :args (@t112)) % 0.38/0.56 (step @p191 :rule eq_resolve :premises (@p189 @p186)) % 0.38/0.56 (step @p192 :rule implies_elim :premises (@p191)) % 0.38/0.56 (step @p193 false :rule chain_m_resolution :premises (@p192 @p177 @p171) :args (false (@list false false) (@list @t105 @t104))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------