%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV194^5 : 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 : n012.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 08:55:35 AM UTC 2026 % Result : Theorem 0.16s 0.38s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : SEV194^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.26 % Computer : n012.cluster.edu % 0.07/0.26 % Model : x86_64 x86_64 % 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.26 % Memory : 8042.1875MB % 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.26 % CPULimit : 300 % 0.07/0.26 % WCLimit : 300 % 0.07/0.26 % DateTime : Tue Jun 2 18:18:03 EDT 2026 % 0.07/0.26 % CPUTime : % 0.16/0.34 %----Proving TH0 % 0.16/0.38 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.16/0.38 % SZS status Theorem % 0.16/0.38 % SZS output start Proof % 0.16/0.38 ( % 0.16/0.38 (declare-sort tptp.a 0) % 0.16/0.38 (declare-const tptp.cP (-> tptp.a tptp.a tptp.a)) % 0.16/0.38 (declare-const tptp.c0 tptp.a) % 0.16/0.38 (declare-const tptp.x tptp.a) % 0.16/0.38 (define @t1 () (@var "R" (-> tptp.a tptp.a tptp.a Bool))) % 0.16/0.38 (define @t2 () (_ (_ (_ @t1 tptp.c0) tptp.x) tptp.x)) % 0.16/0.38 (define @t3 () (@var "Xc" tptp.a)) % 0.16/0.38 (define @t4 () (@var "Xb" tptp.a)) % 0.16/0.38 (define @t5 () (@var "Xa" tptp.a)) % 0.16/0.38 (define @t6 () (_ (_ (_ @t1 @t5) @t4) @t3)) % 0.16/0.38 (define @t7 () (@var "Xz2" tptp.a)) % 0.16/0.38 (define @t8 () (@var "Xy2" tptp.a)) % 0.16/0.38 (define @t9 () (@var "Xx2" tptp.a)) % 0.16/0.38 (define @t10 () (_ (_ (_ @t1 @t9) @t8) @t7)) % 0.16/0.38 (define @t11 () (@var "Xz1" tptp.a)) % 0.16/0.38 (define @t12 () (@var "Xy1" tptp.a)) % 0.16/0.38 (define @t13 () (@var "Xx1" tptp.a)) % 0.16/0.38 (define @t14 () (_ (_ (_ @t1 @t13) @t12) @t11)) % 0.16/0.38 (define @t15 () (_ (_ tptp.cP @t11) @t7)) % 0.16/0.38 (define @t16 () (= @t3 @t15)) % 0.16/0.38 (define @t17 () (_ (_ tptp.cP @t12) @t8)) % 0.16/0.38 (define @t18 () (= @t4 @t17)) % 0.16/0.38 (define @t19 () (_ (_ tptp.cP @t13) @t9)) % 0.16/0.38 (define @t20 () (= @t5 @t19)) % 0.16/0.38 (define @t21 () (and @t20 @t18 @t16 @t14 @t10)) % 0.16/0.38 (define @t22 () (@list @t13 @t9 @t12 @t8 @t11 @t7)) % 0.16/0.38 (define @t23 () (exists @t22 @t21)) % 0.16/0.38 (define @t24 () (= @t5 @t3)) % 0.16/0.38 (define @t25 () (and (= @t4 tptp.c0) @t24)) % 0.16/0.38 (define @t26 () (= @t4 @t3)) % 0.16/0.38 (define @t27 () (and (= @t5 tptp.c0) @t26)) % 0.16/0.38 (define @t28 () (or @t27 @t25 @t23)) % 0.16/0.38 (define @t29 () (=> @t28 @t6)) % 0.16/0.38 (define @t30 () (@list @t5 @t4 @t3)) % 0.16/0.38 (define @t31 () (forall @t30 @t29)) % 0.16/0.38 (define @t32 () (and true @t31)) % 0.16/0.38 (define @t33 () (=> @t32 @t2)) % 0.16/0.38 (define @t34 () (@list @t1)) % 0.16/0.38 (define @t35 () (forall @t34 @t33)) % 0.16/0.38 (define @t36 () (not @t35)) % 0.16/0.38 (define @t37 () (_ @t1 tptp.c0 tptp.x tptp.x)) % 0.16/0.38 (define @t38 () (_ @t1 @t5 @t4 @t3)) % 0.16/0.38 (define @t39 () (@var "BOUND_VARIABLE_7522" tptp.a)) % 0.16/0.38 (define @t40 () (@var "BOUND_VARIABLE_7518" tptp.a)) % 0.16/0.38 (define @t41 () (@var "BOUND_VARIABLE_7514" tptp.a)) % 0.16/0.38 (define @t42 () (@var "BOUND_VARIABLE_7520" tptp.a)) % 0.16/0.38 (define @t43 () (@var "BOUND_VARIABLE_7516" tptp.a)) % 0.16/0.38 (define @t44 () (@var "BOUND_VARIABLE_7512" tptp.a)) % 0.16/0.38 (define @t45 () (not (= @t3 (tptp.cP @t42 @t39)))) % 0.16/0.38 (define @t46 () (not (= @t4 (tptp.cP @t43 @t40)))) % 0.16/0.38 (define @t47 () (not (= @t5 (tptp.cP @t44 @t41)))) % 0.16/0.38 (define @t48 () (or @t47 @t46 @t45 (not (_ @t1 @t44 @t43 @t42)) (not (_ @t1 @t41 @t40 @t39)))) % 0.16/0.38 (define @t49 () (= tptp.c0 @t4)) % 0.16/0.38 (define @t50 () (or (not @t49) (not @t24))) % 0.16/0.38 (define @t51 () (= tptp.c0 @t5)) % 0.16/0.38 (define @t52 () (or (not @t51) (not @t26))) % 0.16/0.38 (define @t53 () (and @t52 @t50 @t48)) % 0.16/0.38 (define @t54 () (or @t53 @t38)) % 0.16/0.38 (define @t55 () (@list @t5 @t4 @t3 @t44 @t41 @t43 @t40 @t42 @t39)) % 0.16/0.38 (define @t56 () (forall @t55 @t54)) % 0.16/0.38 (define @t57 () (not @t56)) % 0.16/0.38 (define @t58 () (or @t57 @t2)) % 0.16/0.38 (define @t59 () (@list @t44 @t41 @t43 @t40 @t42 @t39)) % 0.16/0.38 (define @t60 () (forall @t59 @t54)) % 0.16/0.38 (define @t61 () (forall @t59 @t48)) % 0.16/0.38 (define @t62 () (forall @t59 @t50)) % 0.16/0.38 (define @t63 () (forall @t59 @t52)) % 0.16/0.38 (define @t64 () (and @t63 @t62 @t61)) % 0.16/0.38 (define @t65 () (forall @t59 @t53)) % 0.16/0.38 (define @t66 () (or @t65 @t38)) % 0.16/0.38 (define @t67 () (_ @t1 @t9 @t8 @t7)) % 0.16/0.38 (define @t68 () (_ @t1 @t13 @t12 @t11)) % 0.16/0.38 (define @t69 () (tptp.cP @t11 @t7)) % 0.16/0.38 (define @t70 () (tptp.cP @t12 @t8)) % 0.16/0.38 (define @t71 () (tptp.cP @t13 @t9)) % 0.16/0.38 (define @t72 () (forall @t22 (or (not (= @t5 @t71)) (not (= @t4 @t70)) (not (= @t3 @t69)) (not @t68) (not @t67)))) % 0.16/0.38 (define @t73 () (and @t52 @t50 @t72)) % 0.16/0.38 (define @t74 () (or @t73 @t6)) % 0.16/0.38 (define @t75 () (and @t49 @t24)) % 0.16/0.38 (define @t76 () (not @t75)) % 0.16/0.38 (define @t77 () (and @t51 @t26)) % 0.16/0.38 (define @t78 () (not @t77)) % 0.16/0.38 (define @t79 () (not @t72)) % 0.16/0.38 (define @t80 () (not @t79)) % 0.16/0.38 (define @t81 () (and @t78 @t76 @t80)) % 0.16/0.38 (define @t82 () (or @t77 @t75 @t79)) % 0.16/0.38 (define @t83 () (not @t10)) % 0.16/0.38 (define @t84 () (not @t14)) % 0.16/0.38 (define @t85 () (not @t16)) % 0.16/0.38 (define @t86 () (not @t18)) % 0.16/0.38 (define @t87 () (not @t20)) % 0.16/0.38 (define @t88 () (or @t87 @t86 @t85 @t84 @t83)) % 0.16/0.38 (define @t89 () (forall @t22 (not @t21))) % 0.16/0.38 (define @t90 () (not @t89)) % 0.16/0.38 (define @t91 () (@quantifiers_skolemize (forall @t34 (or @t57 @t37)) 0)) % 0.16/0.38 (define @t92 () (forall @t55 (or (and @t52 @t50 (or @t47 @t46 @t45 (not (_ @t91 @t44 @t43 @t42)) (not (_ @t91 @t41 @t40 @t39)))) (_ @t91 @t5 @t4 @t3)))) % 0.16/0.38 (define @t93 () (_ @t91 tptp.c0 tptp.x tptp.x)) % 0.16/0.38 (define @t94 () (not @t92)) % 0.16/0.38 (define @t95 () (or @t94 @t93)) % 0.16/0.38 (define @t96 () (@list true)) % 0.16/0.38 (define @t97 () (@list @t95)) % 0.16/0.38 (define @t98 () (not (_ @t91 tptp.x tptp.x tptp.x))) % 0.16/0.38 (define @t99 () (tptp.cP tptp.x tptp.x)) % 0.16/0.38 (define @t100 () (not (= tptp.x @t99))) % 0.16/0.38 (define @t101 () (or (not (= tptp.c0 @t99)) @t100 @t100 @t98 @t98)) % 0.16/0.38 (define @t102 () (not (= tptp.c0 tptp.x))) % 0.16/0.38 (define @t103 () (or @t102 @t102)) % 0.16/0.38 (define @t104 () (not (= tptp.x tptp.x))) % 0.16/0.38 (define @t105 () (not (= tptp.c0 tptp.c0))) % 0.16/0.38 (define @t106 () (or @t105 @t104)) % 0.16/0.38 (define @t107 () (and @t106 @t103 @t101)) % 0.16/0.38 (define @t108 () (or @t107 @t93)) % 0.16/0.38 (assume @p1 @t36) % 0.16/0.38 (assume @p2 true) % 0.16/0.38 (step @p3 :rule refl :args (@t37)) % 0.16/0.38 (step @p4 :rule refl :args (@t2)) % 0.16/0.38 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t2 @t37))) % 0.16/0.38 (step @p6 :rule symm :premises (@p5)) % 0.16/0.38 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.16/0.38 (step @p8 :rule refl :args (@t57)) % 0.16/0.38 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t58)) % 0.16/0.38 (step @p10 :rule cong :premises (@p9) :args ((forall @t34 @t58))) % 0.16/0.38 (step @p11 :rule bool-impl-elim :args (@t56 @t2)) % 0.16/0.38 (step @p12 :rule cong :premises (@p11) :args ((forall @t34 (=> @t56 @t2)))) % 0.16/0.38 (step @p13 :rule trans :premises (@p12 @p10)) % 0.16/0.38 (step @p14 :rule refl :args (@t2)) % 0.16/0.38 (step @p15 :rule quant-merge-prenex :args ((= (forall @t30 @t60) @t56))) % 0.16/0.38 (step @p16 :rule refl :args (@t38)) % 0.16/0.38 (step @p17 :rule alpha_equiv :args (@t61 (@list @t44 @t41 @t43 @t40 @t42 @t39) (@list @t13 @t9 @t12 @t8 @t11 @t7))) % 0.16/0.38 (step @p18 :rule quant-unused-vars :args ((= @t62 @t50))) % 0.16/0.38 (step @p19 :rule quant-unused-vars :args ((= @t63 @t52))) % 0.16/0.38 (step @p20 :rule nary_cong :premises (@p19 @p18 @p17) :args (@t64)) % 0.16/0.38 (step @p21 :rule quant-miniscope-and :args ((= @t65 @t64))) % 0.16/0.38 (step @p22 :rule trans :premises (@p21 @p20)) % 0.16/0.38 (step @p23 :rule nary_cong :premises (@p22 @p16) :args (@t66)) % 0.16/0.38 (step @p24 :rule quant-miniscope-or :args ((= @t60 @t66))) % 0.16/0.38 (step @p25 :rule trans :premises (@p24 @p23)) % 0.16/0.38 (step @p26 :rule symm :premises (@p25)) % 0.16/0.38 (step @p27 :rule cong :premises (@p26) :args ((forall @t30 (or @t73 @t38)))) % 0.16/0.38 (step @p28 :rule trans :premises (@p27 @p15)) % 0.16/0.38 (step @p29 :rule refl :args (@t38)) % 0.16/0.38 (step @p30 :rule refl :args (@t6)) % 0.16/0.38 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t6 @t38))) % 0.16/0.38 (step @p32 :rule symm :premises (@p31)) % 0.16/0.38 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.16/0.38 (step @p34 :rule refl :args (@t73)) % 0.16/0.38 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t74)) % 0.16/0.38 (step @p36 :rule cong :premises (@p35) :args ((forall @t30 @t74))) % 0.16/0.38 (step @p37 :rule trans :premises (@p36 @p28)) % 0.16/0.38 (step @p38 :rule refl :args (@t72)) % 0.16/0.38 (step @p39 :rule bool-and-de-morgan :args (@t49 @t24 true)) % 0.16/0.38 (step @p40 :rule bool-and-de-morgan :args (@t51 @t26 true)) % 0.16/0.38 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38) :args ((and @t78 @t76 @t72))) % 0.16/0.38 (step @p42 :rule bool-double-not-elim :args (@t72)) % 0.16/0.38 (step @p43 :rule refl :args (@t76)) % 0.16/0.38 (step @p44 :rule refl :args (@t78)) % 0.16/0.38 (step @p45 :rule nary_cong :premises (@p44 @p43 @p42) :args (@t81)) % 0.16/0.38 (step @p46 :rule aci_norm :args ((= (and @t78 (and @t76 @t80)) @t81))) % 0.16/0.38 (step @p47 :rule trans :premises (@p46 @p45)) % 0.16/0.38 (step @p48 :rule bool-or-de-morgan :args (@t75 @t79 false)) % 0.16/0.38 (step @p49 :rule nary_cong :premises (@p44 @p48) :args ((and @t78 (not (or @t75 @t79))))) % 0.16/0.38 (step @p50 :rule bool-or-de-morgan :args (@t77 @t75 (or @t79))) % 0.16/0.38 (step @p51 :rule trans :premises (@p50 @p49)) % 0.16/0.38 (step @p52 :rule trans :premises (@p51 @p47)) % 0.16/0.38 (step @p53 :rule trans :premises (@p52 @p41)) % 0.16/0.38 (step @p54 :rule nary_cong :premises (@p53 @p30) :args ((or (not @t82) @t6))) % 0.16/0.38 (step @p55 :rule bool-impl-elim :args (@t82 @t6)) % 0.16/0.38 (step @p56 :rule trans :premises (@p55 @p54)) % 0.16/0.38 (step @p57 :rule cong :premises (@p56) :args ((forall @t30 (=> @t82 @t6)))) % 0.16/0.38 (step @p58 :rule trans :premises (@p57 @p37)) % 0.16/0.38 (step @p59 :rule refl :args (@t6)) % 0.16/0.38 (step @p60 :rule refl :args (@t67)) % 0.16/0.38 (step @p61 :rule refl :args (@t10)) % 0.16/0.38 (step @p62 :rule cong :premises (@p61 @p60) :args ((= @t10 @t67))) % 0.16/0.38 (step @p63 :rule symm :premises (@p62)) % 0.16/0.38 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 0.16/0.38 (step @p65 :rule cong :premises (@p64) :args (@t83)) % 0.16/0.38 (step @p66 :rule refl :args (@t68)) % 0.16/0.38 (step @p67 :rule refl :args (@t14)) % 0.16/0.38 (step @p68 :rule cong :premises (@p67 @p66) :args ((= @t14 @t68))) % 0.16/0.38 (step @p69 :rule symm :premises (@p68)) % 0.16/0.38 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 0.16/0.38 (step @p71 :rule cong :premises (@p70) :args (@t84)) % 0.16/0.38 (step @p72 :rule refl :args (@t69)) % 0.16/0.38 (step @p73 :rule refl :args (@t15)) % 0.16/0.38 (step @p74 :rule cong :premises (@p73 @p72) :args ((= @t15 @t69))) % 0.16/0.38 (step @p75 :rule symm :premises (@p74)) % 0.16/0.38 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 0.16/0.38 (step @p77 :rule refl :args (@t3)) % 0.16/0.38 (step @p78 :rule cong :premises (@p77 @p76) :args (@t16)) % 0.16/0.38 (step @p79 :rule cong :premises (@p78) :args (@t85)) % 0.16/0.38 (step @p80 :rule refl :args (@t70)) % 0.16/0.38 (step @p81 :rule refl :args (@t17)) % 0.16/0.38 (step @p82 :rule cong :premises (@p81 @p80) :args ((= @t17 @t70))) % 0.16/0.38 (step @p83 :rule symm :premises (@p82)) % 0.16/0.38 (step @p84 :rule eq_resolve :premises (@p81 @p83)) % 0.16/0.38 (step @p85 :rule refl :args (@t4)) % 0.16/0.38 (step @p86 :rule cong :premises (@p85 @p84) :args (@t18)) % 0.16/0.38 (step @p87 :rule cong :premises (@p86) :args (@t86)) % 0.16/0.38 (step @p88 :rule refl :args (@t71)) % 0.16/0.38 (step @p89 :rule refl :args (@t19)) % 0.16/0.38 (step @p90 :rule cong :premises (@p89 @p88) :args ((= @t19 @t71))) % 0.16/0.38 (step @p91 :rule symm :premises (@p90)) % 0.16/0.38 (step @p92 :rule eq_resolve :premises (@p89 @p91)) % 0.16/0.38 (step @p93 :rule refl :args (@t5)) % 0.16/0.38 (step @p94 :rule cong :premises (@p93 @p92) :args (@t20)) % 0.16/0.38 (step @p95 :rule cong :premises (@p94) :args (@t87)) % 0.16/0.38 (step @p96 :rule nary_cong :premises (@p95 @p87 @p79 @p71 @p65) :args (@t88)) % 0.16/0.38 (step @p97 :rule cong :premises (@p96) :args ((forall @t22 @t88))) % 0.16/0.38 (step @p98 :rule aci_norm :args ((= (or @t87 (or @t86 (or @t85 (or @t84 @t83)))) @t88))) % 0.16/0.38 (step @p99 :rule bool-and-de-morgan :args (@t14 @t10 true)) % 0.16/0.38 (step @p100 :rule refl :args (@t85)) % 0.16/0.38 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t85 (not (and @t14 @t10))))) % 0.16/0.38 (step @p102 :rule bool-and-de-morgan :args (@t16 @t14 (and @t10))) % 0.16/0.38 (step @p103 :rule trans :premises (@p102 @p101)) % 0.16/0.38 (step @p104 :rule refl :args (@t86)) % 0.16/0.38 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t86 (not (and @t16 @t14 @t10))))) % 0.16/0.38 (step @p106 :rule bool-and-de-morgan :args (@t18 @t16 (and @t14 @t10))) % 0.16/0.38 (step @p107 :rule trans :premises (@p106 @p105)) % 0.16/0.38 (step @p108 :rule refl :args (@t87)) % 0.16/0.38 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t87 (not (and @t18 @t16 @t14 @t10))))) % 0.16/0.38 (step @p110 :rule bool-and-de-morgan :args (@t20 @t18 (and @t16 @t14 @t10))) % 0.16/0.38 (step @p111 :rule trans :premises (@p110 @p109)) % 0.16/0.38 (step @p112 :rule trans :premises (@p111 @p98)) % 0.16/0.38 (step @p113 :rule cong :premises (@p112) :args (@t89)) % 0.16/0.38 (step @p114 :rule trans :premises (@p113 @p97)) % 0.16/0.38 (step @p115 :rule cong :premises (@p114) :args (@t90)) % 0.16/0.38 (step @p116 :rule exists-elim :args ((= @t23 @t90))) % 0.16/0.38 (step @p117 :rule trans :premises (@p116 @p115)) % 0.16/0.38 (step @p118 :rule refl :args (@t24)) % 0.16/0.38 (step @p119 :rule eq-symm :args (@t4 tptp.c0)) % 0.16/0.38 (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t25)) % 0.16/0.38 (step @p121 :rule refl :args (@t26)) % 0.16/0.38 (step @p122 :rule eq-symm :args (@t5 tptp.c0)) % 0.16/0.38 (step @p123 :rule nary_cong :premises (@p122 @p121) :args (@t27)) % 0.16/0.38 (step @p124 :rule nary_cong :premises (@p123 @p120 @p117) :args (@t28)) % 0.16/0.38 (step @p125 :rule cong :premises (@p124 @p59) :args (@t29)) % 0.16/0.38 (step @p126 :rule cong :premises (@p125) :args (@t31)) % 0.16/0.38 (step @p127 :rule trans :premises (@p126 @p58)) % 0.16/0.38 (step @p128 :rule aci_norm :args ((= @t32 @t31))) % 0.16/0.38 (step @p129 :rule trans :premises (@p128 @p127)) % 0.16/0.38 (step @p130 :rule cong :premises (@p129 @p14) :args (@t33)) % 0.16/0.38 (step @p131 :rule cong :premises (@p130) :args (@t35)) % 0.16/0.38 (step @p132 :rule trans :premises (@p131 @p13)) % 0.16/0.38 (step @p133 :rule cong :premises (@p132) :args (@t36)) % 0.16/0.38 (step @p134 :rule eq_resolve :premises (@p1 @p133)) % 0.16/0.38 (step @p135 :rule skolemize :premises (@p134)) % 0.16/0.38 (step @p136 :rule bool-double-not-elim :args (@t92)) % 0.16/0.38 (step @p137 :rule refl :args (@t95)) % 0.16/0.38 (step @p138 :rule nary_cong :premises (@p137 @p136) :args ((or @t95 (not @t94)))) % 0.16/0.38 (step @p139 :rule cnf_or_neg :args (@t95 0)) % 0.16/0.38 (step @p140 :rule eq_resolve :premises (@p139 @p138)) % 0.16/0.38 (step @p141 :rule reordering :premises (@p140) :args ((or @t92 @t95))) % 0.16/0.38 (step @p142 :rule chain_m_resolution :premises (@p141 @p135) :args (@t92 @t96 @t97)) % 0.16/0.38 (step @p143 :rule cnf_or_neg :args (@t95 1)) % 0.16/0.38 (step @p144 :rule chain_m_resolution :premises (@p143 @p135) :args ((not @t93) @t96 @t97)) % 0.16/0.38 (step @p145 :rule aci_norm :args ((= (or false @t93) @t93))) % 0.16/0.38 (step @p146 :rule refl :args (@t93)) % 0.16/0.38 (step @p147 :rule absorb :args ((= (and false (not (= tptp.x tptp.c0)) @t101) false))) % 0.16/0.38 (step @p148 :rule refl :args (@t101)) % 0.16/0.38 (step @p149 :rule eq-symm :args (tptp.c0 tptp.x)) % 0.16/0.38 (step @p150 :rule cong :premises (@p149) :args (@t102)) % 0.16/0.38 (step @p151 :rule aci_norm :args ((= @t103 @t102))) % 0.16/0.38 (step @p152 :rule trans :premises (@p151 @p150)) % 0.16/0.38 (step @p153 :rule evaluate :args ((or false false))) % 0.16/0.38 (step @p154 :rule evaluate :args ((not true))) % 0.16/0.38 (step @p155 :rule eq-refl :args (tptp.x)) % 0.16/0.38 (step @p156 :rule cong :premises (@p155) :args (@t104)) % 0.16/0.38 (step @p157 :rule trans :premises (@p156 @p154)) % 0.16/0.38 (step @p158 :rule eq-refl :args (tptp.c0)) % 0.16/0.38 (step @p159 :rule cong :premises (@p158) :args (@t105)) % 0.16/0.38 (step @p160 :rule trans :premises (@p159 @p154)) % 0.16/0.38 (step @p161 :rule nary_cong :premises (@p160 @p157) :args (@t106)) % 0.16/0.38 (step @p162 :rule trans :premises (@p161 @p153)) % 0.16/0.38 (step @p163 :rule nary_cong :premises (@p162 @p152 @p148) :args (@t107)) % 0.16/0.38 (step @p164 :rule trans :premises (@p163 @p147)) % 0.16/0.38 (step @p165 :rule nary_cong :premises (@p164 @p146) :args (@t108)) % 0.16/0.38 (step @p166 :rule trans :premises (@p165 @p145)) % 0.16/0.38 (step @p167 :rule refl :args (@t92)) % 0.16/0.38 (step @p168 :rule cong :premises (@p167 @p166) :args ((=> @t92 @t108))) % 0.16/0.38 (assume-push @p176 @t92) % 0.16/0.38 (step @p170 :rule instantiate :premises (@p142) :args ((@list tptp.c0 tptp.x tptp.x tptp.x tptp.x tptp.x tptp.x tptp.x tptp.x))) % 0.16/0.38 (step-pop @p177 :rule scope :premises (@p170)) % 0.16/0.38 (step @p171 :rule process_scope :premises (@p177) :args (@t108)) % 0.16/0.38 (step @p173 :rule eq_resolve :premises (@p171 @p168)) % 0.16/0.38 (step @p174 :rule implies_elim :premises (@p173)) % 0.16/0.38 (step @p175 false :rule chain_m_resolution :premises (@p174 @p144 @p142) :args (false (@list true false) (@list @t93 @t92))) % 0.16/0.38 ) % 0.16/0.38 % SZS output end Proof % 0.16/0.38 % cvc5 exiting %------------------------------------------------------------------------------