%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV196^5 : 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 : n004.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 0.36s 0.62s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV196^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n004.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 18:18:07 EDT 2026 % 0.18/0.34 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.36/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.62 % SZS status Theorem % 0.36/0.62 % SZS output start Proof % 0.36/0.62 ( % 0.36/0.62 (declare-sort tptp.a 0) % 0.36/0.62 (declare-const tptp.c0 tptp.a) % 0.36/0.62 (declare-const tptp.cP (-> tptp.a tptp.a tptp.a)) % 0.36/0.62 (declare-const tptp.x tptp.a) % 0.36/0.62 (declare-const tptp.y tptp.a) % 0.36/0.62 (define @t1 () (_ tptp.cP tptp.x)) % 0.36/0.62 (define @t2 () (_ @t1 tptp.y)) % 0.36/0.62 (define @t3 () (_ (_ tptp.cP tptp.c0) tptp.y)) % 0.36/0.62 (define @t4 () (_ @t1 tptp.c0)) % 0.36/0.62 (define @t5 () (@var "R" (-> tptp.a tptp.a tptp.a Bool))) % 0.36/0.62 (define @t6 () (_ (_ (_ @t5 @t4) @t3) @t2)) % 0.36/0.62 (define @t7 () (@var "Xc" tptp.a)) % 0.36/0.62 (define @t8 () (@var "Xb" tptp.a)) % 0.36/0.62 (define @t9 () (@var "Xa" tptp.a)) % 0.36/0.62 (define @t10 () (_ (_ (_ @t5 @t9) @t8) @t7)) % 0.36/0.62 (define @t11 () (@var "Xz2" tptp.a)) % 0.36/0.62 (define @t12 () (@var "Xy2" tptp.a)) % 0.36/0.62 (define @t13 () (@var "Xx2" tptp.a)) % 0.36/0.62 (define @t14 () (_ (_ (_ @t5 @t13) @t12) @t11)) % 0.36/0.62 (define @t15 () (@var "Xz1" tptp.a)) % 0.36/0.62 (define @t16 () (@var "Xy1" tptp.a)) % 0.36/0.62 (define @t17 () (@var "Xx1" tptp.a)) % 0.36/0.62 (define @t18 () (_ (_ (_ @t5 @t17) @t16) @t15)) % 0.36/0.62 (define @t19 () (_ (_ tptp.cP @t15) @t11)) % 0.36/0.62 (define @t20 () (= @t7 @t19)) % 0.36/0.62 (define @t21 () (_ (_ tptp.cP @t16) @t12)) % 0.36/0.62 (define @t22 () (= @t8 @t21)) % 0.36/0.62 (define @t23 () (_ (_ tptp.cP @t17) @t13)) % 0.36/0.62 (define @t24 () (= @t9 @t23)) % 0.36/0.62 (define @t25 () (and @t24 @t22 @t20 @t18 @t14)) % 0.36/0.62 (define @t26 () (@list @t17 @t13 @t16 @t12 @t15 @t11)) % 0.36/0.62 (define @t27 () (exists @t26 @t25)) % 0.36/0.62 (define @t28 () (= @t9 @t7)) % 0.36/0.62 (define @t29 () (and (= @t8 tptp.c0) @t28)) % 0.36/0.62 (define @t30 () (= @t8 @t7)) % 0.36/0.62 (define @t31 () (and (= @t9 tptp.c0) @t30)) % 0.36/0.62 (define @t32 () (or @t31 @t29 @t27)) % 0.36/0.62 (define @t33 () (=> @t32 @t10)) % 0.36/0.62 (define @t34 () (@list @t9 @t8 @t7)) % 0.36/0.62 (define @t35 () (forall @t34 @t33)) % 0.36/0.62 (define @t36 () (and true @t35)) % 0.36/0.62 (define @t37 () (=> @t36 @t6)) % 0.36/0.62 (define @t38 () (@list @t5)) % 0.36/0.62 (define @t39 () (forall @t38 @t37)) % 0.36/0.62 (define @t40 () (not @t39)) % 0.36/0.62 (define @t41 () (tptp.cP tptp.x tptp.y)) % 0.36/0.62 (define @t42 () (tptp.cP tptp.c0 tptp.y)) % 0.36/0.62 (define @t43 () (tptp.cP tptp.x tptp.c0)) % 0.36/0.62 (define @t44 () (_ @t5 @t43 @t42 @t41)) % 0.36/0.62 (define @t45 () (_ @t5 @t9 @t8 @t7)) % 0.36/0.62 (define @t46 () (@var "BOUND_VARIABLE_7528" tptp.a)) % 0.36/0.62 (define @t47 () (@var "BOUND_VARIABLE_7524" tptp.a)) % 0.36/0.62 (define @t48 () (@var "BOUND_VARIABLE_7520" tptp.a)) % 0.36/0.62 (define @t49 () (@var "BOUND_VARIABLE_7526" tptp.a)) % 0.36/0.62 (define @t50 () (@var "BOUND_VARIABLE_7522" tptp.a)) % 0.36/0.62 (define @t51 () (@var "BOUND_VARIABLE_7518" tptp.a)) % 0.36/0.62 (define @t52 () (not (= @t7 (tptp.cP @t49 @t46)))) % 0.36/0.62 (define @t53 () (not (= @t8 (tptp.cP @t50 @t47)))) % 0.36/0.62 (define @t54 () (not (= @t9 (tptp.cP @t51 @t48)))) % 0.36/0.62 (define @t55 () (or @t54 @t53 @t52 (not (_ @t5 @t51 @t50 @t49)) (not (_ @t5 @t48 @t47 @t46)))) % 0.36/0.62 (define @t56 () (= tptp.c0 @t8)) % 0.36/0.62 (define @t57 () (or (not @t56) (not @t28))) % 0.36/0.62 (define @t58 () (= tptp.c0 @t9)) % 0.36/0.62 (define @t59 () (or (not @t58) (not @t30))) % 0.36/0.62 (define @t60 () (and @t59 @t57 @t55)) % 0.36/0.62 (define @t61 () (or @t60 @t45)) % 0.36/0.62 (define @t62 () (@list @t9 @t8 @t7 @t51 @t48 @t50 @t47 @t49 @t46)) % 0.36/0.62 (define @t63 () (forall @t62 @t61)) % 0.36/0.62 (define @t64 () (not @t63)) % 0.36/0.62 (define @t65 () (or @t64 @t6)) % 0.36/0.62 (define @t66 () (@list @t51 @t48 @t50 @t47 @t49 @t46)) % 0.36/0.62 (define @t67 () (forall @t66 @t61)) % 0.36/0.62 (define @t68 () (forall @t66 @t55)) % 0.36/0.62 (define @t69 () (forall @t66 @t57)) % 0.36/0.62 (define @t70 () (forall @t66 @t59)) % 0.36/0.62 (define @t71 () (and @t70 @t69 @t68)) % 0.36/0.62 (define @t72 () (forall @t66 @t60)) % 0.36/0.62 (define @t73 () (or @t72 @t45)) % 0.36/0.62 (define @t74 () (_ @t5 @t13 @t12 @t11)) % 0.36/0.62 (define @t75 () (_ @t5 @t17 @t16 @t15)) % 0.36/0.62 (define @t76 () (tptp.cP @t15 @t11)) % 0.36/0.62 (define @t77 () (tptp.cP @t16 @t12)) % 0.36/0.62 (define @t78 () (tptp.cP @t17 @t13)) % 0.36/0.62 (define @t79 () (forall @t26 (or (not (= @t9 @t78)) (not (= @t8 @t77)) (not (= @t7 @t76)) (not @t75) (not @t74)))) % 0.36/0.62 (define @t80 () (and @t59 @t57 @t79)) % 0.36/0.62 (define @t81 () (or @t80 @t10)) % 0.36/0.62 (define @t82 () (and @t56 @t28)) % 0.36/0.62 (define @t83 () (not @t82)) % 0.36/0.62 (define @t84 () (and @t58 @t30)) % 0.36/0.62 (define @t85 () (not @t84)) % 0.36/0.62 (define @t86 () (not @t79)) % 0.36/0.62 (define @t87 () (not @t86)) % 0.36/0.62 (define @t88 () (and @t85 @t83 @t87)) % 0.36/0.62 (define @t89 () (or @t84 @t82 @t86)) % 0.36/0.62 (define @t90 () (not @t14)) % 0.36/0.62 (define @t91 () (not @t18)) % 0.36/0.62 (define @t92 () (not @t20)) % 0.36/0.62 (define @t93 () (not @t22)) % 0.36/0.62 (define @t94 () (not @t24)) % 0.36/0.63 (define @t95 () (or @t94 @t93 @t92 @t91 @t90)) % 0.36/0.63 (define @t96 () (forall @t26 (not @t25))) % 0.36/0.63 (define @t97 () (not @t96)) % 0.36/0.63 (define @t98 () (@quantifiers_skolemize (forall @t38 (or @t64 @t44)) 0)) % 0.36/0.63 (define @t99 () (forall @t62 (or (and @t59 @t57 (or @t54 @t53 @t52 (not (_ @t98 @t51 @t50 @t49)) (not (_ @t98 @t48 @t47 @t46)))) (_ @t98 @t9 @t8 @t7)))) % 0.36/0.63 (define @t100 () (_ @t98 @t43 @t42 @t41)) % 0.36/0.63 (define @t101 () (not @t99)) % 0.36/0.63 (define @t102 () (or @t101 @t100)) % 0.36/0.63 (define @t103 () (@list true)) % 0.36/0.63 (define @t104 () (@list @t102)) % 0.36/0.63 (define @t105 () (_ @t98 tptp.c0 tptp.y tptp.y)) % 0.36/0.63 (define @t106 () (not @t105)) % 0.36/0.63 (define @t107 () (_ @t98 tptp.x tptp.c0 tptp.x)) % 0.36/0.63 (define @t108 () (not @t107)) % 0.36/0.63 (define @t109 () (or @t108 @t106)) % 0.36/0.63 (define @t110 () (not (= @t41 @t41))) % 0.36/0.63 (define @t111 () (not (= @t42 @t42))) % 0.36/0.63 (define @t112 () (not (= @t43 @t43))) % 0.36/0.63 (define @t113 () (or @t112 @t111 @t110 @t108 @t106)) % 0.36/0.63 (define @t114 () (or (not (= tptp.c0 @t42)) (not (= @t43 @t41)))) % 0.36/0.63 (define @t115 () (or (not (= tptp.c0 @t43)) (not (= @t42 @t41)))) % 0.36/0.63 (define @t116 () (and @t115 @t114 @t113)) % 0.36/0.63 (define @t117 () (or @t116 @t100)) % 0.36/0.63 (define @t118 () (and @t115 @t114 @t109)) % 0.36/0.63 (define @t119 () (or @t118 @t100)) % 0.36/0.63 (define @t120 () (@list false)) % 0.36/0.63 (define @t121 () (@list @t99)) % 0.36/0.63 (define @t122 () (@list true false)) % 0.36/0.63 (define @t123 () (not (_ @t98 tptp.y tptp.y tptp.y))) % 0.36/0.63 (define @t124 () (tptp.cP tptp.y tptp.y)) % 0.36/0.63 (define @t125 () (not (= tptp.x @t124))) % 0.36/0.63 (define @t126 () (not (= tptp.c0 @t124))) % 0.36/0.63 (define @t127 () (or @t125 @t126 @t125 @t123 @t123)) % 0.36/0.63 (define @t128 () (not (= tptp.x tptp.x))) % 0.36/0.63 (define @t129 () (not (= tptp.c0 tptp.c0))) % 0.36/0.63 (define @t130 () (or @t129 @t128)) % 0.36/0.63 (define @t131 () (not (= tptp.c0 tptp.x))) % 0.36/0.63 (define @t132 () (or @t131 @t131)) % 0.36/0.63 (define @t133 () (and @t132 @t130 @t127)) % 0.36/0.63 (define @t134 () (or @t133 @t107)) % 0.36/0.63 (define @t135 () (not (= tptp.y @t124))) % 0.36/0.63 (define @t136 () (or @t126 @t135 @t135 @t123 @t123)) % 0.36/0.63 (define @t137 () (not (= tptp.c0 tptp.y))) % 0.36/0.63 (define @t138 () (or @t137 @t137)) % 0.36/0.63 (define @t139 () (not (= tptp.y tptp.y))) % 0.36/0.63 (define @t140 () (or @t129 @t139)) % 0.36/0.63 (define @t141 () (and @t140 @t138 @t136)) % 0.36/0.63 (define @t142 () (or @t141 @t105)) % 0.36/0.63 (assume @p1 @t40) % 0.36/0.63 (assume @p2 true) % 0.36/0.63 (step @p3 :rule refl :args ((_ @t5 @t4 @t3 @t2))) % 0.36/0.63 (step @p4 :rule refl :args (@t41)) % 0.36/0.63 (step @p5 :rule refl :args (@t42)) % 0.36/0.63 (step @p6 :rule refl :args (@t43)) % 0.36/0.63 (step @p7 :rule cong :premises (@p6 @p5 @p4) :args (@t44)) % 0.36/0.63 (step @p8 :rule trans :premises (@p7 @p3)) % 0.36/0.63 (step @p9 :rule refl :args (@t5)) % 0.36/0.63 (step @p10 :rule ho_cong :premises (@p9 @p6)) % 0.36/0.63 (step @p11 :rule ho_cong :premises (@p10 @p5)) % 0.36/0.63 (step @p12 :rule ho_cong :premises (@p11 @p4)) % 0.36/0.63 (step @p13 :rule cong :premises (@p12 @p8) :args ((= (_ (_ (_ @t5 @t43) @t42) @t41) @t44))) % 0.36/0.63 (step @p14 :rule symm :premises (@p13)) % 0.36/0.63 (step @p15 :rule refl :args (@t6)) % 0.36/0.63 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 0.36/0.63 (step @p17 :rule refl :args (@t2)) % 0.36/0.63 (step @p18 :rule cong :premises (@p17 @p4) :args ((= @t2 @t41))) % 0.36/0.63 (step @p19 :rule symm :premises (@p18)) % 0.36/0.63 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.36/0.63 (step @p21 :rule refl :args (@t3)) % 0.36/0.63 (step @p22 :rule cong :premises (@p21 @p5) :args ((= @t3 @t42))) % 0.36/0.63 (step @p23 :rule symm :premises (@p22)) % 0.36/0.63 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.36/0.63 (step @p25 :rule refl :args (@t4)) % 0.36/0.63 (step @p26 :rule cong :premises (@p25 @p6) :args ((= @t4 @t43))) % 0.36/0.63 (step @p27 :rule symm :premises (@p26)) % 0.36/0.63 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.36/0.63 (step @p29 :rule ho_cong :premises (@p9 @p28)) % 0.36/0.63 (step @p30 :rule ho_cong :premises (@p29 @p24)) % 0.36/0.63 (step @p31 :rule ho_cong :premises (@p30 @p20)) % 0.36/0.63 (step @p32 :rule trans :premises (@p31 @p16)) % 0.36/0.63 (step @p33 :rule refl :args (@t64)) % 0.36/0.63 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t65)) % 0.36/0.63 (step @p35 :rule cong :premises (@p34) :args ((forall @t38 @t65))) % 0.36/0.63 (step @p36 :rule bool-impl-elim :args (@t63 @t6)) % 0.36/0.63 (step @p37 :rule cong :premises (@p36) :args ((forall @t38 (=> @t63 @t6)))) % 0.36/0.63 (step @p38 :rule trans :premises (@p37 @p35)) % 0.36/0.63 (step @p39 :rule refl :args (@t6)) % 0.36/0.63 (step @p40 :rule quant-merge-prenex :args ((= (forall @t34 @t67) @t63))) % 0.36/0.63 (step @p41 :rule refl :args (@t45)) % 0.36/0.63 (step @p42 :rule alpha_equiv :args (@t68 (@list @t51 @t48 @t50 @t47 @t49 @t46) (@list @t17 @t13 @t16 @t12 @t15 @t11))) % 0.36/0.63 (step @p43 :rule quant-unused-vars :args ((= @t69 @t57))) % 0.36/0.63 (step @p44 :rule quant-unused-vars :args ((= @t70 @t59))) % 0.36/0.63 (step @p45 :rule nary_cong :premises (@p44 @p43 @p42) :args (@t71)) % 0.36/0.63 (step @p46 :rule quant-miniscope-and :args ((= @t72 @t71))) % 0.36/0.63 (step @p47 :rule trans :premises (@p46 @p45)) % 0.36/0.63 (step @p48 :rule nary_cong :premises (@p47 @p41) :args (@t73)) % 0.36/0.63 (step @p49 :rule quant-miniscope-or :args ((= @t67 @t73))) % 0.36/0.63 (step @p50 :rule trans :premises (@p49 @p48)) % 0.36/0.63 (step @p51 :rule symm :premises (@p50)) % 0.36/0.63 (step @p52 :rule cong :premises (@p51) :args ((forall @t34 (or @t80 @t45)))) % 0.36/0.63 (step @p53 :rule trans :premises (@p52 @p40)) % 0.36/0.63 (step @p54 :rule refl :args (@t45)) % 0.36/0.63 (step @p55 :rule refl :args (@t10)) % 0.36/0.63 (step @p56 :rule cong :premises (@p55 @p54) :args ((= @t10 @t45))) % 0.36/0.63 (step @p57 :rule symm :premises (@p56)) % 0.36/0.63 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 0.36/0.63 (step @p59 :rule refl :args (@t80)) % 0.36/0.63 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t81)) % 0.36/0.63 (step @p61 :rule cong :premises (@p60) :args ((forall @t34 @t81))) % 0.36/0.63 (step @p62 :rule trans :premises (@p61 @p53)) % 0.36/0.63 (step @p63 :rule refl :args (@t79)) % 0.36/0.63 (step @p64 :rule bool-and-de-morgan :args (@t56 @t28 true)) % 0.36/0.63 (step @p65 :rule bool-and-de-morgan :args (@t58 @t30 true)) % 0.36/0.63 (step @p66 :rule nary_cong :premises (@p65 @p64 @p63) :args ((and @t85 @t83 @t79))) % 0.36/0.63 (step @p67 :rule bool-double-not-elim :args (@t79)) % 0.36/0.63 (step @p68 :rule refl :args (@t83)) % 0.36/0.63 (step @p69 :rule refl :args (@t85)) % 0.36/0.63 (step @p70 :rule nary_cong :premises (@p69 @p68 @p67) :args (@t88)) % 0.36/0.63 (step @p71 :rule aci_norm :args ((= (and @t85 (and @t83 @t87)) @t88))) % 0.36/0.63 (step @p72 :rule trans :premises (@p71 @p70)) % 0.36/0.63 (step @p73 :rule bool-or-de-morgan :args (@t82 @t86 false)) % 0.36/0.63 (step @p74 :rule nary_cong :premises (@p69 @p73) :args ((and @t85 (not (or @t82 @t86))))) % 0.36/0.63 (step @p75 :rule bool-or-de-morgan :args (@t84 @t82 (or @t86))) % 0.36/0.63 (step @p76 :rule trans :premises (@p75 @p74)) % 0.36/0.63 (step @p77 :rule trans :premises (@p76 @p72)) % 0.36/0.63 (step @p78 :rule trans :premises (@p77 @p66)) % 0.36/0.63 (step @p79 :rule nary_cong :premises (@p78 @p55) :args ((or (not @t89) @t10))) % 0.36/0.63 (step @p80 :rule bool-impl-elim :args (@t89 @t10)) % 0.36/0.63 (step @p81 :rule trans :premises (@p80 @p79)) % 0.36/0.63 (step @p82 :rule cong :premises (@p81) :args ((forall @t34 (=> @t89 @t10)))) % 0.36/0.63 (step @p83 :rule trans :premises (@p82 @p62)) % 0.36/0.63 (step @p84 :rule refl :args (@t10)) % 0.36/0.63 (step @p85 :rule refl :args (@t74)) % 0.36/0.63 (step @p86 :rule refl :args (@t14)) % 0.36/0.63 (step @p87 :rule cong :premises (@p86 @p85) :args ((= @t14 @t74))) % 0.36/0.63 (step @p88 :rule symm :premises (@p87)) % 0.36/0.63 (step @p89 :rule eq_resolve :premises (@p86 @p88)) % 0.36/0.63 (step @p90 :rule cong :premises (@p89) :args (@t90)) % 0.36/0.63 (step @p91 :rule refl :args (@t75)) % 0.36/0.63 (step @p92 :rule refl :args (@t18)) % 0.36/0.63 (step @p93 :rule cong :premises (@p92 @p91) :args ((= @t18 @t75))) % 0.36/0.63 (step @p94 :rule symm :premises (@p93)) % 0.36/0.63 (step @p95 :rule eq_resolve :premises (@p92 @p94)) % 0.36/0.63 (step @p96 :rule cong :premises (@p95) :args (@t91)) % 0.36/0.63 (step @p97 :rule refl :args (@t76)) % 0.36/0.63 (step @p98 :rule refl :args (@t19)) % 0.36/0.63 (step @p99 :rule cong :premises (@p98 @p97) :args ((= @t19 @t76))) % 0.36/0.63 (step @p100 :rule symm :premises (@p99)) % 0.36/0.63 (step @p101 :rule eq_resolve :premises (@p98 @p100)) % 0.36/0.63 (step @p102 :rule refl :args (@t7)) % 0.36/0.63 (step @p103 :rule cong :premises (@p102 @p101) :args (@t20)) % 0.36/0.63 (step @p104 :rule cong :premises (@p103) :args (@t92)) % 0.36/0.63 (step @p105 :rule refl :args (@t77)) % 0.36/0.63 (step @p106 :rule refl :args (@t21)) % 0.36/0.63 (step @p107 :rule cong :premises (@p106 @p105) :args ((= @t21 @t77))) % 0.36/0.63 (step @p108 :rule symm :premises (@p107)) % 0.36/0.63 (step @p109 :rule eq_resolve :premises (@p106 @p108)) % 0.36/0.63 (step @p110 :rule refl :args (@t8)) % 0.36/0.63 (step @p111 :rule cong :premises (@p110 @p109) :args (@t22)) % 0.36/0.63 (step @p112 :rule cong :premises (@p111) :args (@t93)) % 0.36/0.63 (step @p113 :rule refl :args (@t78)) % 0.36/0.63 (step @p114 :rule refl :args (@t23)) % 0.36/0.63 (step @p115 :rule cong :premises (@p114 @p113) :args ((= @t23 @t78))) % 0.36/0.63 (step @p116 :rule symm :premises (@p115)) % 0.36/0.63 (step @p117 :rule eq_resolve :premises (@p114 @p116)) % 0.36/0.63 (step @p118 :rule refl :args (@t9)) % 0.36/0.63 (step @p119 :rule cong :premises (@p118 @p117) :args (@t24)) % 0.36/0.63 (step @p120 :rule cong :premises (@p119) :args (@t94)) % 0.36/0.63 (step @p121 :rule nary_cong :premises (@p120 @p112 @p104 @p96 @p90) :args (@t95)) % 0.36/0.63 (step @p122 :rule cong :premises (@p121) :args ((forall @t26 @t95))) % 0.36/0.63 (step @p123 :rule aci_norm :args ((= (or @t94 (or @t93 (or @t92 (or @t91 @t90)))) @t95))) % 0.36/0.63 (step @p124 :rule bool-and-de-morgan :args (@t18 @t14 true)) % 0.36/0.63 (step @p125 :rule refl :args (@t92)) % 0.36/0.63 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or @t92 (not (and @t18 @t14))))) % 0.36/0.63 (step @p127 :rule bool-and-de-morgan :args (@t20 @t18 (and @t14))) % 0.36/0.63 (step @p128 :rule trans :premises (@p127 @p126)) % 0.36/0.63 (step @p129 :rule refl :args (@t93)) % 0.36/0.63 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or @t93 (not (and @t20 @t18 @t14))))) % 0.36/0.63 (step @p131 :rule bool-and-de-morgan :args (@t22 @t20 (and @t18 @t14))) % 0.36/0.63 (step @p132 :rule trans :premises (@p131 @p130)) % 0.36/0.63 (step @p133 :rule refl :args (@t94)) % 0.36/0.63 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or @t94 (not (and @t22 @t20 @t18 @t14))))) % 0.36/0.63 (step @p135 :rule bool-and-de-morgan :args (@t24 @t22 (and @t20 @t18 @t14))) % 0.36/0.63 (step @p136 :rule trans :premises (@p135 @p134)) % 0.36/0.63 (step @p137 :rule trans :premises (@p136 @p123)) % 0.36/0.63 (step @p138 :rule cong :premises (@p137) :args (@t96)) % 0.36/0.63 (step @p139 :rule trans :premises (@p138 @p122)) % 0.36/0.63 (step @p140 :rule cong :premises (@p139) :args (@t97)) % 0.36/0.63 (step @p141 :rule exists-elim :args ((= @t27 @t97))) % 0.36/0.63 (step @p142 :rule trans :premises (@p141 @p140)) % 0.36/0.63 (step @p143 :rule refl :args (@t28)) % 0.36/0.63 (step @p144 :rule eq-symm :args (@t8 tptp.c0)) % 0.36/0.63 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t29)) % 0.36/0.63 (step @p146 :rule refl :args (@t30)) % 0.36/0.63 (step @p147 :rule eq-symm :args (@t9 tptp.c0)) % 0.36/0.63 (step @p148 :rule nary_cong :premises (@p147 @p146) :args (@t31)) % 0.36/0.63 (step @p149 :rule nary_cong :premises (@p148 @p145 @p142) :args (@t32)) % 0.36/0.63 (step @p150 :rule cong :premises (@p149 @p84) :args (@t33)) % 0.36/0.63 (step @p151 :rule cong :premises (@p150) :args (@t35)) % 0.36/0.63 (step @p152 :rule trans :premises (@p151 @p83)) % 0.36/0.63 (step @p153 :rule aci_norm :args ((= @t36 @t35))) % 0.36/0.63 (step @p154 :rule trans :premises (@p153 @p152)) % 0.36/0.63 (step @p155 :rule cong :premises (@p154 @p39) :args (@t37)) % 0.36/0.63 (step @p156 :rule cong :premises (@p155) :args (@t39)) % 0.36/0.63 (step @p157 :rule trans :premises (@p156 @p38)) % 0.36/0.63 (step @p158 :rule cong :premises (@p157) :args (@t40)) % 0.36/0.63 (step @p159 :rule eq_resolve :premises (@p1 @p158)) % 0.36/0.63 (step @p160 :rule skolemize :premises (@p159)) % 0.36/0.63 (step @p161 :rule bool-double-not-elim :args (@t99)) % 0.36/0.63 (step @p162 :rule refl :args (@t102)) % 0.36/0.63 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t102 (not @t101)))) % 0.36/0.63 (step @p164 :rule cnf_or_neg :args (@t102 0)) % 0.36/0.63 (step @p165 :rule eq_resolve :premises (@p164 @p163)) % 0.36/0.63 (step @p166 :rule reordering :premises (@p165) :args ((or @t99 @t102))) % 0.36/0.63 (step @p167 :rule chain_m_resolution :premises (@p166 @p160) :args (@t99 @t103 @t104)) % 0.36/0.63 (step @p168 :rule refl :args (@t100)) % 0.36/0.63 (step @p169 :rule aci_norm :args ((= (or false false false @t108 @t106) @t109))) % 0.36/0.63 (step @p170 :rule refl :args (@t106)) % 0.36/0.63 (step @p171 :rule refl :args (@t108)) % 0.36/0.63 (step @p172 :rule evaluate :args ((not true))) % 0.36/0.63 (step @p173 :rule eq-refl :args (@t41)) % 0.36/0.63 (step @p174 :rule cong :premises (@p173) :args (@t110)) % 0.36/0.63 (step @p175 :rule trans :premises (@p174 @p172)) % 0.36/0.63 (step @p176 :rule eq-refl :args (@t42)) % 0.36/0.63 (step @p177 :rule cong :premises (@p176) :args (@t111)) % 0.36/0.63 (step @p178 :rule trans :premises (@p177 @p172)) % 0.36/0.63 (step @p179 :rule eq-refl :args (@t43)) % 0.36/0.63 (step @p180 :rule cong :premises (@p179) :args (@t112)) % 0.36/0.63 (step @p181 :rule trans :premises (@p180 @p172)) % 0.36/0.63 (step @p182 :rule nary_cong :premises (@p181 @p178 @p175 @p171 @p170) :args (@t113)) % 0.36/0.63 (step @p183 :rule trans :premises (@p182 @p169)) % 0.36/0.63 (step @p184 :rule refl :args (@t114)) % 0.36/0.63 (step @p185 :rule refl :args (@t115)) % 0.36/0.63 (step @p186 :rule nary_cong :premises (@p185 @p184 @p183) :args (@t116)) % 0.36/0.63 (step @p187 :rule nary_cong :premises (@p186 @p168) :args (@t117)) % 0.36/0.63 (step @p188 :rule refl :args (@t99)) % 0.36/0.63 (step @p189 :rule cong :premises (@p188 @p187) :args ((=> @t99 @t117))) % 0.36/0.63 (assume-push @p262 @t99) % 0.36/0.63 (step @p191 :rule instantiate :premises (@p167) :args ((@list @t43 @t42 @t41 tptp.x tptp.c0 tptp.c0 tptp.y tptp.x tptp.y))) % 0.36/0.63 (step-pop @p263 :rule scope :premises (@p191)) % 0.36/0.63 (step @p192 :rule process_scope :premises (@p263) :args (@t117)) % 0.36/0.63 (step @p194 :rule eq_resolve :premises (@p192 @p189)) % 0.36/0.63 (step @p195 :rule implies_elim :premises (@p194)) % 0.36/0.63 (step @p196 :rule chain_m_resolution :premises (@p195 @p167) :args (@t119 @t120 @t121)) % 0.36/0.63 (step @p197 :rule cnf_or_neg :args (@t102 1)) % 0.36/0.63 (step @p198 :rule chain_m_resolution :premises (@p197 @p160) :args ((not @t100) @t103 @t104)) % 0.36/0.63 (step @p199 :rule cnf_or_pos :args (@t119)) % 0.36/0.63 (step @p200 :rule reordering :premises (@p199) :args ((or @t100 @t118 (not @t119)))) % 0.36/0.63 (step @p201 :rule chain_m_resolution :premises (@p200 @p198 @p196) :args (@t118 @t122 (@list @t100 @t119))) % 0.36/0.63 (step @p202 :rule cnf_and_pos :args (@t118 2)) % 0.36/0.63 (step @p203 :rule reordering :premises (@p202) :args ((or @t109 (not @t118)))) % 0.36/0.63 (step @p204 :rule chain_m_resolution :premises (@p203 @p201) :args (@t109 @t120 (@list @t118))) % 0.36/0.63 (step @p205 :rule aci_norm :args ((= (or false @t107) @t107))) % 0.36/0.63 (step @p206 :rule refl :args (@t107)) % 0.36/0.63 (step @p207 :rule absorb :args ((= (and (not (= tptp.x tptp.c0)) false @t127) false))) % 0.36/0.63 (step @p208 :rule refl :args (@t127)) % 0.36/0.63 (step @p209 :rule evaluate :args ((or false false))) % 0.36/0.63 (step @p210 :rule eq-refl :args (tptp.x)) % 0.36/0.63 (step @p211 :rule cong :premises (@p210) :args (@t128)) % 0.36/0.63 (step @p212 :rule trans :premises (@p211 @p172)) % 0.36/0.63 (step @p213 :rule eq-refl :args (tptp.c0)) % 0.36/0.63 (step @p214 :rule cong :premises (@p213) :args (@t129)) % 0.36/0.63 (step @p215 :rule trans :premises (@p214 @p172)) % 0.36/0.63 (step @p216 :rule nary_cong :premises (@p215 @p212) :args (@t130)) % 0.36/0.63 (step @p217 :rule trans :premises (@p216 @p209)) % 0.36/0.63 (step @p218 :rule eq-symm :args (tptp.c0 tptp.x)) % 0.36/0.63 (step @p219 :rule cong :premises (@p218) :args (@t131)) % 0.36/0.63 (step @p220 :rule aci_norm :args ((= @t132 @t131))) % 0.36/0.63 (step @p221 :rule trans :premises (@p220 @p219)) % 0.36/0.63 (step @p222 :rule nary_cong :premises (@p221 @p217 @p208) :args (@t133)) % 0.36/0.63 (step @p223 :rule trans :premises (@p222 @p207)) % 0.36/0.63 (step @p224 :rule nary_cong :premises (@p223 @p206) :args (@t134)) % 0.36/0.63 (step @p225 :rule trans :premises (@p224 @p205)) % 0.36/0.63 (step @p226 :rule cong :premises (@p188 @p225) :args ((=> @t99 @t134))) % 0.36/0.63 (assume-push @p264 @t99) % 0.36/0.63 (step @p228 :rule instantiate :premises (@p167) :args ((@list tptp.x tptp.c0 tptp.x tptp.y tptp.y tptp.y tptp.y tptp.y tptp.y))) % 0.36/0.63 (step-pop @p265 :rule scope :premises (@p228)) % 0.36/0.63 (step @p229 :rule process_scope :premises (@p265) :args (@t134)) % 0.36/0.63 (step @p231 :rule eq_resolve :premises (@p229 @p226)) % 0.36/0.63 (step @p232 :rule implies_elim :premises (@p231)) % 0.36/0.63 (step @p233 :rule chain_m_resolution :premises (@p232 @p167) :args (@t107 @t120 @t121)) % 0.36/0.63 (step @p234 :rule cnf_or_pos :args (@t109)) % 0.36/0.63 (step @p235 :rule reordering :premises (@p234) :args ((or @t106 @t108 (not @t109)))) % 0.36/0.63 (step @p236 :rule chain_m_resolution :premises (@p235 @p233 @p204) :args (@t106 (@list false false) (@list @t107 @t109))) % 0.36/0.63 (step @p237 :rule aci_norm :args ((= (or false @t105) @t105))) % 0.36/0.63 (step @p238 :rule refl :args (@t105)) % 0.36/0.63 (step @p239 :rule absorb :args ((= (and false (not (= tptp.y tptp.c0)) @t136) false))) % 0.36/0.63 (step @p240 :rule refl :args (@t136)) % 0.36/0.63 (step @p241 :rule eq-symm :args (tptp.c0 tptp.y)) % 0.36/0.63 (step @p242 :rule cong :premises (@p241) :args (@t137)) % 0.36/0.63 (step @p243 :rule aci_norm :args ((= @t138 @t137))) % 0.36/0.63 (step @p244 :rule trans :premises (@p243 @p242)) % 0.36/0.63 (step @p245 :rule eq-refl :args (tptp.y)) % 0.36/0.63 (step @p246 :rule cong :premises (@p245) :args (@t139)) % 0.36/0.63 (step @p247 :rule trans :premises (@p246 @p172)) % 0.36/0.63 (step @p248 :rule nary_cong :premises (@p215 @p247) :args (@t140)) % 0.36/0.63 (step @p249 :rule trans :premises (@p248 @p209)) % 0.36/0.63 (step @p250 :rule nary_cong :premises (@p249 @p244 @p240) :args (@t141)) % 0.36/0.63 (step @p251 :rule trans :premises (@p250 @p239)) % 0.36/0.63 (step @p252 :rule nary_cong :premises (@p251 @p238) :args (@t142)) % 0.36/0.63 (step @p253 :rule trans :premises (@p252 @p237)) % 0.36/0.63 (step @p254 :rule cong :premises (@p188 @p253) :args ((=> @t99 @t142))) % 0.36/0.63 (assume-push @p266 @t99) % 0.36/0.63 (step @p256 :rule instantiate :premises (@p167) :args ((@list tptp.c0 tptp.y tptp.y tptp.y tptp.y tptp.y tptp.y tptp.y tptp.y))) % 0.36/0.63 (step-pop @p267 :rule scope :premises (@p256)) % 0.36/0.63 (step @p257 :rule process_scope :premises (@p267) :args (@t142)) % 0.36/0.63 (step @p259 :rule eq_resolve :premises (@p257 @p254)) % 0.36/0.63 (step @p260 :rule implies_elim :premises (@p259)) % 0.34/0.63 (step @p261 false :rule chain_m_resolution :premises (@p260 @p236 @p167) :args (false @t122 (@list @t105 @t99))) % 0.34/0.63 ) % 0.34/0.63 % SZS output end Proof % 0.34/0.63 % cvc5 exiting %------------------------------------------------------------------------------