%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX074_1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 09:07:05 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWX074_1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n007.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 22:54:41 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_ARI % 0.38/0.59 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort tptp.symbol 0) % 0.38/0.59 (declare-sort tptp.general 0) % 0.38/0.59 (declare-const tptp.hp (-> tptp.general Bool)) % 0.38/0.59 (declare-const tptp.f__integer__ (-> Int tptp.general)) % 0.38/0.59 (declare-const tptp.f__symbolic__ (-> tptp.symbol tptp.general)) % 0.38/0.59 (declare-const tptp.c__supremum__ tptp.general) % 0.38/0.59 (declare-const tptp.p__is_symbolic__ (-> tptp.general Bool)) % 0.38/0.59 (declare-const tptp.tq (-> tptp.general Bool)) % 0.38/0.59 (declare-const tptp.c__infimum__ tptp.general) % 0.38/0.59 (declare-const tptp.p__is_integer__ (-> tptp.general Bool)) % 0.38/0.59 (declare-const tptp.hq (-> tptp.general Bool)) % 0.38/0.59 (declare-const tptp.tp (-> tptp.general Bool)) % 0.38/0.59 (declare-const tptp.p__less_equal__ (-> tptp.general tptp.general Bool)) % 0.38/0.59 (declare-const tptp.p__less__ (-> tptp.general tptp.general Bool)) % 0.38/0.59 (declare-const tptp.p__greater_equal__ (-> tptp.general tptp.general Bool)) % 0.38/0.59 (declare-const tptp.p__greater__ (-> tptp.general tptp.general Bool)) % 0.38/0.59 (define @t1 () (@var "N" Int)) % 0.38/0.59 (define @t2 () (tptp.f__integer__ @t1)) % 0.38/0.59 (define @t3 () (@var "X" tptp.general)) % 0.38/0.59 (define @t4 () (@list @t1)) % 0.38/0.59 (define @t5 () (tptp.p__is_integer__ @t3)) % 0.38/0.59 (define @t6 () (@list @t3)) % 0.38/0.59 (define @t7 () (@var "X2" tptp.symbol)) % 0.38/0.59 (define @t8 () (@var "X1" tptp.general)) % 0.38/0.59 (define @t9 () (@var "N2" Int)) % 0.38/0.59 (define @t10 () (@var "N1" Int)) % 0.38/0.59 (define @t11 () (tptp.f__integer__ @t9)) % 0.38/0.59 (define @t12 () (tptp.f__integer__ @t10)) % 0.38/0.59 (define @t13 () (@list @t10 @t9)) % 0.38/0.59 (define @t14 () (@var "S2" tptp.symbol)) % 0.38/0.59 (define @t15 () (@var "S1" tptp.symbol)) % 0.38/0.59 (define @t16 () (@var "X2" tptp.general)) % 0.38/0.59 (define @t17 () (= @t8 @t16)) % 0.38/0.59 (define @t18 () (tptp.p__less_equal__ @t16 @t8)) % 0.38/0.59 (define @t19 () (tptp.p__less_equal__ @t8 @t16)) % 0.38/0.59 (define @t20 () (@list @t8 @t16)) % 0.38/0.59 (define @t21 () (@var "X3" tptp.general)) % 0.38/0.59 (define @t22 () (not @t17)) % 0.38/0.59 (define @t23 () (@var "S" tptp.symbol)) % 0.38/0.59 (define @t24 () (tptp.f__symbolic__ @t23)) % 0.38/0.59 (define @t25 () (@var "X1_g" tptp.general)) % 0.38/0.59 (define @t26 () (@list @t25)) % 0.38/0.59 (define @t27 () (@var "V1_g" tptp.general)) % 0.38/0.59 (define @t28 () (tptp.tq @t27)) % 0.38/0.59 (define @t29 () (@var "Z_g" tptp.general)) % 0.38/0.59 (define @t30 () (tptp.tq @t29)) % 0.38/0.59 (define @t31 () (not @t30)) % 0.38/0.59 (define @t32 () (@var "X_g" tptp.general)) % 0.38/0.59 (define @t33 () (= @t29 @t32)) % 0.38/0.59 (define @t34 () (and @t33 (not @t31))) % 0.38/0.59 (define @t35 () (@list @t29)) % 0.38/0.59 (define @t36 () (exists @t35 @t34)) % 0.38/0.59 (define @t37 () (tptp.tp @t29)) % 0.38/0.59 (define @t38 () (and @t33 @t37)) % 0.38/0.59 (define @t39 () (exists @t35 @t38)) % 0.38/0.59 (define @t40 () (= @t27 @t32)) % 0.38/0.59 (define @t41 () (and @t40 @t39 @t36)) % 0.38/0.59 (define @t42 () (=> @t41 @t28)) % 0.38/0.59 (define @t43 () (tptp.hq @t27)) % 0.38/0.59 (define @t44 () (tptp.hp @t29)) % 0.38/0.59 (define @t45 () (and @t33 @t44)) % 0.38/0.59 (define @t46 () (exists @t35 @t45)) % 0.38/0.59 (define @t47 () (and @t40 @t46 @t36)) % 0.38/0.59 (define @t48 () (=> @t47 @t43)) % 0.38/0.59 (define @t49 () (and @t48 @t42)) % 0.38/0.59 (define @t50 () (@list @t27 @t32)) % 0.38/0.59 (define @t51 () (forall @t50 @t49)) % 0.38/0.59 (define @t52 () (not @t28)) % 0.38/0.59 (define @t53 () (not @t52)) % 0.38/0.59 (define @t54 () (and @t40 @t39 @t53)) % 0.38/0.59 (define @t55 () (=> @t54 @t28)) % 0.38/0.59 (define @t56 () (and @t40 @t46 @t53)) % 0.38/0.59 (define @t57 () (=> @t56 @t43)) % 0.38/0.59 (define @t58 () (and @t57 @t55)) % 0.38/0.59 (define @t59 () (forall @t50 @t58)) % 0.38/0.59 (define @t60 () (not @t59)) % 0.38/0.59 (define @t61 () (@var "BOUND_VARIABLE_7665" tptp.general)) % 0.38/0.59 (define @t62 () (tptp.hq @t61)) % 0.38/0.59 (define @t63 () (not (tptp.tq @t61))) % 0.38/0.59 (define @t64 () (not (tptp.hp @t61))) % 0.38/0.59 (define @t65 () (or @t64 @t63 @t62)) % 0.38/0.59 (define @t66 () (@list @t61)) % 0.38/0.59 (define @t67 () (forall @t66 @t65)) % 0.38/0.59 (define @t68 () (@var "BOUND_VARIABLE_7679" tptp.general)) % 0.38/0.59 (define @t69 () (@list @t68)) % 0.38/0.59 (define @t70 () (not (tptp.tp @t68))) % 0.38/0.59 (define @t71 () (tptp.tq @t68)) % 0.38/0.59 (define @t72 () (not @t71)) % 0.38/0.59 (define @t73 () (or @t70 @t72 @t71)) % 0.38/0.59 (define @t74 () (not (= @t68 @t68))) % 0.38/0.59 (define @t75 () (or @t74 @t70 @t72 @t71)) % 0.38/0.59 (define @t76 () (@var "BOUND_VARIABLE_7677" tptp.general)) % 0.38/0.59 (define @t77 () (tptp.tq @t76)) % 0.38/0.59 (define @t78 () (not (= @t76 @t68))) % 0.38/0.59 (define @t79 () (or @t78 @t78 @t70 @t72 @t77)) % 0.38/0.59 (define @t80 () (@list @t76)) % 0.38/0.59 (define @t81 () (or @t78 @t70 @t72 @t77)) % 0.38/0.59 (define @t82 () (forall @t80 @t81)) % 0.38/0.59 (define @t83 () (forall @t69 @t82)) % 0.38/0.59 (define @t84 () (forall (@list @t68 @t76) @t81)) % 0.38/0.59 (define @t85 () (forall (@list @t76 @t68) @t81)) % 0.38/0.59 (define @t86 () (not (= @t61 @t61))) % 0.38/0.59 (define @t87 () (or @t86 @t64 @t63 @t62)) % 0.38/0.59 (define @t88 () (@var "BOUND_VARIABLE_7663" tptp.general)) % 0.38/0.59 (define @t89 () (tptp.hq @t88)) % 0.38/0.59 (define @t90 () (not (= @t88 @t61))) % 0.38/0.59 (define @t91 () (or @t90 @t90 @t64 @t63 @t89)) % 0.38/0.59 (define @t92 () (@list @t88)) % 0.38/0.59 (define @t93 () (or @t90 @t64 @t63 @t89)) % 0.38/0.59 (define @t94 () (forall @t92 @t93)) % 0.38/0.59 (define @t95 () (forall @t66 @t94)) % 0.38/0.59 (define @t96 () (forall (@list @t61 @t88) @t93)) % 0.38/0.59 (define @t97 () (forall (@list @t88 @t61) @t93)) % 0.38/0.59 (define @t98 () (tptp.tq @t32)) % 0.38/0.59 (define @t99 () (not @t98)) % 0.38/0.59 (define @t100 () (tptp.tp @t32)) % 0.38/0.59 (define @t101 () (not @t100)) % 0.38/0.59 (define @t102 () (not @t40)) % 0.38/0.59 (define @t103 () (or @t102 @t101 @t99 @t28)) % 0.38/0.59 (define @t104 () (forall @t50 @t103)) % 0.38/0.59 (define @t105 () (@list @t27 @t32)) % 0.38/0.59 (define @t106 () (tptp.hp @t32)) % 0.38/0.59 (define @t107 () (not @t106)) % 0.38/0.59 (define @t108 () (or @t102 @t107 @t99 @t43)) % 0.38/0.59 (define @t109 () (forall @t50 @t108)) % 0.38/0.59 (define @t110 () (and @t109 @t104)) % 0.38/0.59 (define @t111 () (or @t102 @t101 @t99)) % 0.38/0.59 (define @t112 () (and @t40 @t100 @t98)) % 0.38/0.59 (define @t113 () (or @t102 @t107 @t99)) % 0.38/0.59 (define @t114 () (and @t40 @t106 @t98)) % 0.38/0.59 (define @t115 () (and (=> @t114 @t43) (=> @t112 @t28))) % 0.38/0.59 (define @t116 () (not (= @t32 @t32))) % 0.38/0.59 (define @t117 () (or @t116 @t99)) % 0.38/0.59 (define @t118 () (= @t32 @t29)) % 0.38/0.59 (define @t119 () (not @t118)) % 0.38/0.59 (define @t120 () (not @t33)) % 0.38/0.59 (define @t121 () (or @t119 @t119 @t31)) % 0.38/0.59 (define @t122 () (or @t119 @t31)) % 0.38/0.59 (define @t123 () (and @t118 @t30)) % 0.38/0.59 (define @t124 () (forall @t35 (not @t123))) % 0.38/0.59 (define @t125 () (not @t124)) % 0.38/0.59 (define @t126 () (or @t116 @t101)) % 0.38/0.59 (define @t127 () (not @t37)) % 0.38/0.59 (define @t128 () (or @t119 @t119 @t127)) % 0.38/0.59 (define @t129 () (or @t119 @t127)) % 0.38/0.59 (define @t130 () (and @t118 @t37)) % 0.38/0.59 (define @t131 () (forall @t35 (not @t130))) % 0.38/0.59 (define @t132 () (not @t131)) % 0.38/0.59 (define @t133 () (or @t116 @t107)) % 0.38/0.59 (define @t134 () (not @t44)) % 0.38/0.59 (define @t135 () (or @t119 @t119 @t134)) % 0.38/0.59 (define @t136 () (or @t119 @t134)) % 0.38/0.59 (define @t137 () (and @t118 @t44)) % 0.38/0.59 (define @t138 () (forall @t35 (not @t137))) % 0.38/0.59 (define @t139 () (not @t138)) % 0.38/0.59 (define @t140 () (tptp.hq @t32)) % 0.38/0.59 (define @t141 () (or @t107 @t99 @t140)) % 0.38/0.59 (define @t142 () (@list @t32)) % 0.38/0.59 (define @t143 () (forall @t142 @t141)) % 0.38/0.59 (define @t144 () (@list false)) % 0.38/0.59 (define @t145 () (or @t116 @t107 @t99 @t140)) % 0.38/0.59 (define @t146 () (or @t102 @t102 @t107 @t52 @t43)) % 0.38/0.59 (define @t147 () (@list @t27)) % 0.38/0.59 (define @t148 () (or @t102 @t107 @t52 @t43)) % 0.38/0.59 (define @t149 () (forall @t147 @t148)) % 0.38/0.59 (define @t150 () (forall @t142 @t149)) % 0.38/0.59 (define @t151 () (forall (@list @t32 @t27) @t148)) % 0.38/0.59 (define @t152 () (and @t148 true)) % 0.38/0.59 (define @t153 () (or @t102 @t101 @t52)) % 0.38/0.59 (define @t154 () (and @t40 @t100 @t28)) % 0.38/0.59 (define @t155 () (or @t102 @t107 @t52)) % 0.38/0.59 (define @t156 () (and @t40 @t106 @t28)) % 0.38/0.59 (define @t157 () (and (=> @t156 @t43) (=> @t154 @t28))) % 0.38/0.59 (assume @p1 (forall @t6 (= @t5 (exists @t4 (= @t3 @t2))))) % 0.38/0.59 (assume @p2 (forall (@list @t8) (= (tptp.p__is_symbolic__ @t8) (exists (@list @t7) (= @t8 (tptp.f__symbolic__ @t7)))))) % 0.38/0.59 (assume @p3 (forall @t6 (or (= @t3 tptp.c__infimum__) @t5 (tptp.p__is_symbolic__ @t3) (= @t3 tptp.c__supremum__)))) % 0.38/0.59 (assume @p4 (forall @t13 (= (= @t12 @t11) (= @t10 @t9)))) % 0.38/0.59 (assume @p5 (forall (@list @t15 @t14) (= (= (tptp.f__symbolic__ @t15) (tptp.f__symbolic__ @t14)) (= @t15 @t14)))) % 0.38/0.59 (assume @p6 (forall @t13 (= (tptp.p__less_equal__ @t12 @t11) (<= @t10 @t9)))) % 0.38/0.59 (assume @p7 (forall @t20 (=> (and @t19 @t18) @t17))) % 0.38/0.59 (assume @p8 (forall (@list @t8 @t16 @t21) (=> (and @t19 (tptp.p__less_equal__ @t16 @t21)) (tptp.p__less_equal__ @t8 @t21)))) % 0.38/0.59 (assume @p9 (forall @t20 (or @t19 @t18))) % 0.38/0.59 (assume @p10 (forall @t20 (= (tptp.p__less__ @t8 @t16) (and @t19 @t22)))) % 0.38/0.59 (assume @p11 (forall @t20 (= (tptp.p__greater_equal__ @t8 @t16) @t18))) % 0.38/0.59 (assume @p12 (forall @t20 (= (tptp.p__greater__ @t8 @t16) (and @t18 @t22)))) % 0.38/0.59 (assume @p13 (forall @t4 (tptp.p__less__ tptp.c__infimum__ @t2))) % 0.38/0.59 (assume @p14 (forall (@list @t1 @t23) (tptp.p__less__ @t2 @t24))) % 0.38/0.59 (assume @p15 (forall (@list @t23) (tptp.p__less__ @t24 tptp.c__supremum__))) % 0.38/0.59 (assume @p16 (forall @t26 (=> (tptp.hq @t25) (tptp.tq @t25)))) % 0.38/0.59 (assume @p17 (forall @t26 (=> (tptp.hp @t25) (tptp.tp @t25)))) % 0.38/0.59 (assume @p18 @t51) % 0.38/0.59 (assume @p19 @t60) % 0.38/0.59 (assume @p20 true) % 0.38/0.59 (step @p21 :rule aci_norm :args ((= (and @t67 true) @t67))) % 0.38/0.59 (step @p22 :rule quant-unused-vars :args ((= (forall @t69 true) true))) % 0.38/0.59 (step @p23 :rule bool-or-taut2 :args ((or @t70) @t71 false false)) % 0.38/0.59 (step @p24 :rule cong :premises (@p23) :args ((forall @t69 @t73))) % 0.38/0.59 (step @p25 :rule trans :premises (@p24 @p22)) % 0.38/0.59 (step @p26 :rule aci_norm :args ((= (or false @t70 @t72 @t71) @t73))) % 0.38/0.59 (step @p27 :rule refl :args (@t71)) % 0.38/0.59 (step @p28 :rule refl :args (@t72)) % 0.38/0.59 (step @p29 :rule refl :args (@t70)) % 0.38/0.59 (step @p30 :rule evaluate :args ((not true))) % 0.38/0.59 (step @p31 :rule eq-refl :args (@t68)) % 0.38/0.59 (step @p32 :rule cong :premises (@p31) :args (@t74)) % 0.38/0.59 (step @p33 :rule trans :premises (@p32 @p30)) % 0.38/0.59 (step @p34 :rule nary_cong :premises (@p33 @p29 @p28 @p27) :args (@t75)) % 0.38/0.59 (step @p35 :rule trans :premises (@p34 @p26)) % 0.38/0.59 (step @p36 :rule cong :premises (@p35) :args ((forall @t69 @t75))) % 0.38/0.59 (step @p37 :rule trans :premises (@p36 @p25)) % 0.38/0.59 (step @p38 :rule quant-var-elim-eq :args ((= (forall @t80 @t79) @t75))) % 0.38/0.59 (step @p39 :rule aci_norm :args ((= @t81 @t79))) % 0.38/0.59 (step @p40 :rule cong :premises (@p39) :args (@t82)) % 0.38/0.59 (step @p41 :rule trans :premises (@p40 @p38)) % 0.38/0.59 (step @p42 :rule cong :premises (@p41) :args (@t83)) % 0.38/0.59 (step @p43 :rule quant-merge-prenex :args ((= @t83 @t84))) % 0.38/0.59 (step @p44 :rule symm :premises (@p43)) % 0.38/0.59 (step @p45 :rule quant_var_reordering :args ((= @t85 @t84))) % 0.38/0.59 (step @p46 :rule trans :premises (@p45 @p44 @p42)) % 0.38/0.59 (step @p47 :rule trans :premises (@p46 @p37)) % 0.38/0.59 (step @p48 :rule aci_norm :args ((= (or false @t64 @t63 @t62) @t65))) % 0.38/0.59 (step @p49 :rule refl :args (@t62)) % 0.38/0.59 (step @p50 :rule refl :args (@t63)) % 0.38/0.59 (step @p51 :rule refl :args (@t64)) % 0.38/0.59 (step @p52 :rule eq-refl :args (@t61)) % 0.38/0.59 (step @p53 :rule cong :premises (@p52) :args (@t86)) % 0.38/0.59 (step @p54 :rule trans :premises (@p53 @p30)) % 0.38/0.59 (step @p55 :rule nary_cong :premises (@p54 @p51 @p50 @p49) :args (@t87)) % 0.38/0.59 (step @p56 :rule trans :premises (@p55 @p48)) % 0.38/0.59 (step @p57 :rule cong :premises (@p56) :args ((forall @t66 @t87))) % 0.38/0.59 (step @p58 :rule quant-var-elim-eq :args ((= (forall @t92 @t91) @t87))) % 0.38/0.59 (step @p59 :rule aci_norm :args ((= @t93 @t91))) % 0.38/0.59 (step @p60 :rule cong :premises (@p59) :args (@t94)) % 0.38/0.59 (step @p61 :rule trans :premises (@p60 @p58)) % 0.38/0.59 (step @p62 :rule cong :premises (@p61) :args (@t95)) % 0.38/0.59 (step @p63 :rule quant-merge-prenex :args ((= @t95 @t96))) % 0.38/0.59 (step @p64 :rule symm :premises (@p63)) % 0.38/0.59 (step @p65 :rule quant_var_reordering :args ((= @t97 @t96))) % 0.38/0.59 (step @p66 :rule trans :premises (@p65 @p64 @p62)) % 0.38/0.59 (step @p67 :rule trans :premises (@p66 @p57)) % 0.38/0.59 (step @p68 :rule nary_cong :premises (@p67 @p47) :args ((and @t97 @t85))) % 0.38/0.59 (step @p69 :rule trans :premises (@p68 @p21)) % 0.38/0.59 (step @p70 :rule alpha_equiv :args (@t104 @t105 (@list @t76 @t68))) % 0.38/0.59 (step @p71 :rule alpha_equiv :args (@t109 @t105 (@list @t88 @t61))) % 0.38/0.59 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t110)) % 0.38/0.59 (step @p73 :rule quant-miniscope-and :args ((= (forall @t50 (and @t108 @t103)) @t110))) % 0.38/0.59 (step @p74 :rule trans :premises (@p73 @p72)) % 0.38/0.59 (step @p75 :rule trans :premises (@p74 @p69)) % 0.38/0.59 (step @p76 :rule aci_norm :args ((= (or @t111 @t28) @t103))) % 0.38/0.59 (step @p77 :rule refl :args (@t28)) % 0.38/0.59 (step @p78 :rule aci_norm :args ((= (or @t102 (or @t101 @t99)) @t111))) % 0.38/0.59 (step @p79 :rule bool-and-de-morgan :args (@t100 @t98 true)) % 0.38/0.59 (step @p80 :rule refl :args (@t102)) % 0.38/0.59 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t102 (not (and @t100 @t98))))) % 0.38/0.59 (step @p82 :rule bool-and-de-morgan :args (@t40 @t100 (and @t98))) % 0.38/0.59 (step @p83 :rule trans :premises (@p82 @p81)) % 0.38/0.59 (step @p84 :rule trans :premises (@p83 @p78)) % 0.38/0.59 (step @p85 :rule nary_cong :premises (@p84 @p77) :args ((or (not @t112) @t28))) % 0.38/0.59 (step @p86 :rule trans :premises (@p85 @p76)) % 0.38/0.59 (step @p87 :rule bool-impl-elim :args (@t112 @t28)) % 0.38/0.59 (step @p88 :rule trans :premises (@p87 @p86)) % 0.38/0.59 (step @p89 :rule aci_norm :args ((= (or @t113 @t43) @t108))) % 0.38/0.59 (step @p90 :rule refl :args (@t43)) % 0.38/0.59 (step @p91 :rule aci_norm :args ((= (or @t102 (or @t107 @t99)) @t113))) % 0.38/0.59 (step @p92 :rule bool-and-de-morgan :args (@t106 @t98 true)) % 0.38/0.59 (step @p93 :rule nary_cong :premises (@p80 @p92) :args ((or @t102 (not (and @t106 @t98))))) % 0.38/0.59 (step @p94 :rule bool-and-de-morgan :args (@t40 @t106 (and @t98))) % 0.38/0.59 (step @p95 :rule trans :premises (@p94 @p93)) % 0.38/0.59 (step @p96 :rule trans :premises (@p95 @p91)) % 0.38/0.59 (step @p97 :rule nary_cong :premises (@p96 @p90) :args ((or (not @t114) @t43))) % 0.38/0.59 (step @p98 :rule trans :premises (@p97 @p89)) % 0.38/0.59 (step @p99 :rule bool-impl-elim :args (@t114 @t43)) % 0.38/0.59 (step @p100 :rule trans :premises (@p99 @p98)) % 0.38/0.59 (step @p101 :rule nary_cong :premises (@p100 @p88) :args (@t115)) % 0.38/0.59 (step @p102 :rule cong :premises (@p101) :args ((forall @t50 @t115))) % 0.38/0.59 (step @p103 :rule trans :premises (@p102 @p75)) % 0.38/0.59 (step @p104 :rule refl :args (@t28)) % 0.38/0.59 (step @p105 :rule bool-double-not-elim :args (@t98)) % 0.38/0.59 (step @p106 :rule aci_norm :args ((= (or false @t99) @t99))) % 0.38/0.59 (step @p107 :rule refl :args (@t99)) % 0.38/0.59 (step @p108 :rule eq-refl :args (@t32)) % 0.38/0.59 (step @p109 :rule cong :premises (@p108) :args (@t116)) % 0.38/0.59 (step @p110 :rule trans :premises (@p109 @p30)) % 0.38/0.59 (step @p111 :rule nary_cong :premises (@p110 @p107) :args (@t117)) % 0.38/0.59 (step @p112 :rule trans :premises (@p111 @p106)) % 0.38/0.59 (step @p113 :rule quant-var-elim-eq :args ((= (forall @t35 (or @t120 @t119 @t31)) @t117))) % 0.38/0.59 (step @p114 :rule refl :args (@t31)) % 0.38/0.59 (step @p115 :rule refl :args (@t119)) % 0.38/0.59 (step @p116 :rule eq-symm :args (@t32 @t29)) % 0.38/0.59 (step @p117 :rule cong :premises (@p116) :args (@t119)) % 0.38/0.59 (step @p118 :rule nary_cong :premises (@p117 @p115 @p114) :args (@t121)) % 0.38/0.59 (step @p119 :rule aci_norm :args ((= @t122 @t121))) % 0.38/0.59 (step @p120 :rule trans :premises (@p119 @p118)) % 0.38/0.59 (step @p121 :rule cong :premises (@p120) :args ((forall @t35 @t122))) % 0.38/0.59 (step @p122 :rule trans :premises (@p121 @p113)) % 0.38/0.59 (step @p123 :rule trans :premises (@p122 @p112)) % 0.38/0.59 (step @p124 :rule bool-and-de-morgan :args (@t118 @t30 true)) % 0.38/0.59 (step @p125 :rule cong :premises (@p124) :args (@t124)) % 0.38/0.59 (step @p126 :rule trans :premises (@p125 @p123)) % 0.38/0.59 (step @p127 :rule cong :premises (@p126) :args (@t125)) % 0.38/0.59 (step @p128 :rule trans :premises (@p127 @p105)) % 0.38/0.59 (step @p129 :rule exists-elim :args ((= (exists @t35 @t123) @t125))) % 0.38/0.59 (step @p130 :rule trans :premises (@p129 @p128)) % 0.38/0.59 (step @p131 :rule bool-double-not-elim :args (@t30)) % 0.38/0.59 (step @p132 :rule eq-symm :args (@t29 @t32)) % 0.38/0.59 (step @p133 :rule nary_cong :premises (@p132 @p131) :args (@t34)) % 0.38/0.59 (step @p134 :rule cong :premises (@p133) :args (@t36)) % 0.38/0.59 (step @p135 :rule trans :premises (@p134 @p130)) % 0.38/0.59 (step @p136 :rule bool-double-not-elim :args (@t100)) % 0.38/0.59 (step @p137 :rule aci_norm :args ((= (or false @t101) @t101))) % 0.38/0.59 (step @p138 :rule refl :args (@t101)) % 0.38/0.59 (step @p139 :rule nary_cong :premises (@p110 @p138) :args (@t126)) % 0.38/0.59 (step @p140 :rule trans :premises (@p139 @p137)) % 0.38/0.59 (step @p141 :rule quant-var-elim-eq :args ((= (forall @t35 (or @t120 @t119 @t127)) @t126))) % 0.38/0.59 (step @p142 :rule refl :args (@t127)) % 0.38/0.59 (step @p143 :rule nary_cong :premises (@p117 @p115 @p142) :args (@t128)) % 0.38/0.59 (step @p144 :rule aci_norm :args ((= @t129 @t128))) % 0.38/0.59 (step @p145 :rule trans :premises (@p144 @p143)) % 0.38/0.59 (step @p146 :rule cong :premises (@p145) :args ((forall @t35 @t129))) % 0.38/0.59 (step @p147 :rule trans :premises (@p146 @p141)) % 0.38/0.59 (step @p148 :rule trans :premises (@p147 @p140)) % 0.38/0.59 (step @p149 :rule bool-and-de-morgan :args (@t118 @t37 true)) % 0.38/0.59 (step @p150 :rule cong :premises (@p149) :args (@t131)) % 0.38/0.59 (step @p151 :rule trans :premises (@p150 @p148)) % 0.38/0.59 (step @p152 :rule cong :premises (@p151) :args (@t132)) % 0.38/0.59 (step @p153 :rule trans :premises (@p152 @p136)) % 0.38/0.59 (step @p154 :rule exists-elim :args ((= (exists @t35 @t130) @t132))) % 0.38/0.59 (step @p155 :rule trans :premises (@p154 @p153)) % 0.38/0.59 (step @p156 :rule refl :args (@t37)) % 0.38/0.59 (step @p157 :rule nary_cong :premises (@p132 @p156) :args (@t38)) % 0.38/0.59 (step @p158 :rule cong :premises (@p157) :args (@t39)) % 0.38/0.59 (step @p159 :rule trans :premises (@p158 @p155)) % 0.38/0.59 (step @p160 :rule refl :args (@t40)) % 0.38/0.59 (step @p161 :rule nary_cong :premises (@p160 @p159 @p135) :args (@t41)) % 0.38/0.59 (step @p162 :rule cong :premises (@p161 @p104) :args (@t42)) % 0.38/0.59 (step @p163 :rule refl :args (@t43)) % 0.38/0.59 (step @p164 :rule bool-double-not-elim :args (@t106)) % 0.38/0.59 (step @p165 :rule aci_norm :args ((= (or false @t107) @t107))) % 0.38/0.59 (step @p166 :rule refl :args (@t107)) % 0.38/0.59 (step @p167 :rule nary_cong :premises (@p110 @p166) :args (@t133)) % 0.38/0.59 (step @p168 :rule trans :premises (@p167 @p165)) % 0.38/0.59 (step @p169 :rule quant-var-elim-eq :args ((= (forall @t35 (or @t120 @t119 @t134)) @t133))) % 0.38/0.59 (step @p170 :rule refl :args (@t134)) % 0.38/0.59 (step @p171 :rule nary_cong :premises (@p117 @p115 @p170) :args (@t135)) % 0.38/0.59 (step @p172 :rule aci_norm :args ((= @t136 @t135))) % 0.38/0.59 (step @p173 :rule trans :premises (@p172 @p171)) % 0.38/0.59 (step @p174 :rule cong :premises (@p173) :args ((forall @t35 @t136))) % 0.38/0.59 (step @p175 :rule trans :premises (@p174 @p169)) % 0.38/0.59 (step @p176 :rule trans :premises (@p175 @p168)) % 0.38/0.59 (step @p177 :rule bool-and-de-morgan :args (@t118 @t44 true)) % 0.38/0.59 (step @p178 :rule cong :premises (@p177) :args (@t138)) % 0.38/0.59 (step @p179 :rule trans :premises (@p178 @p176)) % 0.38/0.59 (step @p180 :rule cong :premises (@p179) :args (@t139)) % 0.38/0.59 (step @p181 :rule trans :premises (@p180 @p164)) % 0.38/0.59 (step @p182 :rule exists-elim :args ((= (exists @t35 @t137) @t139))) % 0.38/0.59 (step @p183 :rule trans :premises (@p182 @p181)) % 0.38/0.59 (step @p184 :rule refl :args (@t44)) % 0.38/0.59 (step @p185 :rule nary_cong :premises (@p132 @p184) :args (@t45)) % 0.38/0.59 (step @p186 :rule cong :premises (@p185) :args (@t46)) % 0.38/0.59 (step @p187 :rule trans :premises (@p186 @p183)) % 0.38/0.59 (step @p188 :rule nary_cong :premises (@p160 @p187 @p135) :args (@t47)) % 0.38/0.59 (step @p189 :rule cong :premises (@p188 @p163) :args (@t48)) % 0.38/0.59 (step @p190 :rule nary_cong :premises (@p189 @p162) :args (@t49)) % 0.38/0.59 (step @p191 :rule cong :premises (@p190) :args (@t51)) % 0.38/0.59 (step @p192 :rule trans :premises (@p191 @p103)) % 0.38/0.59 (step @p193 :rule eq_resolve :premises (@p18 @p192)) % 0.38/0.59 (step @p194 :rule alpha_equiv :args (@t67 (@list @t61) (@list @t32))) % 0.38/0.59 (step @p195 :rule equiv_elim1 :premises (@p194)) % 0.38/0.59 (step @p196 :rule reordering :premises (@p195) :args ((or @t143 (not @t67)))) % 0.38/0.59 (step @p197 :rule chain_m_resolution :premises (@p196 @p193) :args (@t143 @t144 (@list @t67))) % 0.38/0.59 (step @p198 :rule aci_norm :args ((= (or false @t107 @t99 @t140) @t141))) % 0.38/0.59 (step @p199 :rule refl :args (@t140)) % 0.38/0.59 (step @p200 :rule nary_cong :premises (@p110 @p166 @p107 @p199) :args (@t145)) % 0.38/0.59 (step @p201 :rule trans :premises (@p200 @p198)) % 0.38/0.59 (step @p202 :rule cong :premises (@p201) :args ((forall @t142 @t145))) % 0.38/0.59 (step @p203 :rule quant-var-elim-eq :args ((= (forall @t147 @t146) @t145))) % 0.38/0.59 (step @p204 :rule aci_norm :args ((= @t148 @t146))) % 0.38/0.59 (step @p205 :rule cong :premises (@p204) :args (@t149)) % 0.38/0.59 (step @p206 :rule trans :premises (@p205 @p203)) % 0.38/0.59 (step @p207 :rule cong :premises (@p206) :args (@t150)) % 0.38/0.59 (step @p208 :rule quant-merge-prenex :args ((= @t150 @t151))) % 0.38/0.59 (step @p209 :rule symm :premises (@p208)) % 0.38/0.59 (step @p210 :rule quant_var_reordering :args ((= (forall @t50 @t148) @t151))) % 0.38/0.59 (step @p211 :rule trans :premises (@p210 @p209 @p207)) % 0.38/0.59 (step @p212 :rule trans :premises (@p211 @p202)) % 0.38/0.59 (step @p213 :rule aci_norm :args ((= @t152 @t148))) % 0.38/0.59 (step @p214 :rule cong :premises (@p213) :args ((forall @t50 @t152))) % 0.38/0.59 (step @p215 :rule trans :premises (@p214 @p212)) % 0.38/0.59 (step @p216 :rule bool-or-taut2 :args ((or @t102 @t101) @t28 false false)) % 0.38/0.59 (step @p217 :rule aci_norm :args ((= (or @t153 @t28) (or @t102 @t101 @t52 @t28)))) % 0.38/0.59 (step @p218 :rule trans :premises (@p217 @p216)) % 0.38/0.59 (step @p219 :rule aci_norm :args ((= (or @t102 (or @t101 @t52)) @t153))) % 0.38/0.59 (step @p220 :rule bool-and-de-morgan :args (@t100 @t28 true)) % 0.38/0.59 (step @p221 :rule nary_cong :premises (@p80 @p220) :args ((or @t102 (not (and @t100 @t28))))) % 0.38/0.59 (step @p222 :rule bool-and-de-morgan :args (@t40 @t100 (and @t28))) % 0.38/0.59 (step @p223 :rule trans :premises (@p222 @p221)) % 0.38/0.59 (step @p224 :rule trans :premises (@p223 @p219)) % 0.38/0.59 (step @p225 :rule nary_cong :premises (@p224 @p77) :args ((or (not @t154) @t28))) % 0.38/0.59 (step @p226 :rule trans :premises (@p225 @p218)) % 0.38/0.59 (step @p227 :rule bool-impl-elim :args (@t154 @t28)) % 0.38/0.59 (step @p228 :rule trans :premises (@p227 @p226)) % 0.38/0.59 (step @p229 :rule aci_norm :args ((= (or @t155 @t43) @t148))) % 0.38/0.59 (step @p230 :rule aci_norm :args ((= (or @t102 (or @t107 @t52)) @t155))) % 0.38/0.59 (step @p231 :rule bool-and-de-morgan :args (@t106 @t28 true)) % 0.38/0.59 (step @p232 :rule nary_cong :premises (@p80 @p231) :args ((or @t102 (not (and @t106 @t28))))) % 0.38/0.59 (step @p233 :rule bool-and-de-morgan :args (@t40 @t106 (and @t28))) % 0.38/0.59 (step @p234 :rule trans :premises (@p233 @p232)) % 0.38/0.59 (step @p235 :rule trans :premises (@p234 @p230)) % 0.38/0.59 (step @p236 :rule nary_cong :premises (@p235 @p90) :args ((or (not @t156) @t43))) % 0.38/0.60 (step @p237 :rule trans :premises (@p236 @p229)) % 0.38/0.60 (step @p238 :rule bool-impl-elim :args (@t156 @t43)) % 0.38/0.60 (step @p239 :rule trans :premises (@p238 @p237)) % 0.38/0.60 (step @p240 :rule nary_cong :premises (@p239 @p228) :args (@t157)) % 0.38/0.60 (step @p241 :rule cong :premises (@p240) :args ((forall @t50 @t157))) % 0.38/0.60 (step @p242 :rule trans :premises (@p241 @p215)) % 0.38/0.60 (step @p243 :rule bool-double-not-elim :args (@t28)) % 0.38/0.60 (step @p244 :rule nary_cong :premises (@p160 @p159 @p243) :args (@t54)) % 0.38/0.60 (step @p245 :rule cong :premises (@p244 @p104) :args (@t55)) % 0.38/0.60 (step @p246 :rule nary_cong :premises (@p160 @p187 @p243) :args (@t56)) % 0.38/0.60 (step @p247 :rule cong :premises (@p246 @p163) :args (@t57)) % 0.38/0.60 (step @p248 :rule nary_cong :premises (@p247 @p245) :args (@t58)) % 0.38/0.60 (step @p249 :rule cong :premises (@p248) :args (@t59)) % 0.38/0.60 (step @p250 :rule trans :premises (@p249 @p242)) % 0.38/0.60 (step @p251 :rule cong :premises (@p250) :args (@t60)) % 0.38/0.60 (step @p252 :rule eq_resolve :premises (@p19 @p251)) % 0.38/0.60 (step @p253 false :rule chain_m_resolution :premises (@p252 @p197) :args (false @t144 (@list @t143))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------