%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO180^5 : 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 : n003.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 09:12:10 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO180^5 : 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 % 0.17/0.34 % Computer : n003.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:59:44 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.37/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (define @t1 () (@var "B" Bool)) % 0.37/0.58 (define @t2 () (not @t1)) % 0.37/0.58 (define @t3 () (@var "F" Bool)) % 0.37/0.58 (define @t4 () (and @t3 @t2)) % 0.37/0.58 (define @t5 () (@var "L" Bool)) % 0.37/0.58 (define @t6 () (@var "E" Bool)) % 0.37/0.58 (define @t7 () (and @t6 @t5)) % 0.37/0.58 (define @t8 () (=> @t7 @t4)) % 0.37/0.58 (define @t9 () (@var "G" Bool)) % 0.37/0.58 (define @t10 () (@var "M" Bool)) % 0.37/0.58 (define @t11 () (not @t10)) % 0.37/0.58 (define @t12 () (@var "K" Bool)) % 0.37/0.58 (define @t13 () (not @t12)) % 0.37/0.58 (define @t14 () (@var "R" Bool)) % 0.37/0.58 (define @t15 () (and @t14 @t13 @t11)) % 0.37/0.58 (define @t16 () (=> @t15 @t9)) % 0.37/0.58 (define @t17 () (@var "C" Bool)) % 0.37/0.58 (define @t18 () (not @t17)) % 0.37/0.58 (define @t19 () (not @t14)) % 0.37/0.58 (define @t20 () (and @t9 @t1 @t19)) % 0.37/0.58 (define @t21 () (=> @t20 @t18)) % 0.37/0.58 (define @t22 () (not @t3)) % 0.37/0.58 (define @t23 () (@var "P" Bool)) % 0.37/0.58 (define @t24 () (not @t23)) % 0.37/0.58 (define @t25 () (@var "N" Bool)) % 0.37/0.58 (define @t26 () (and @t25 @t24 @t22)) % 0.37/0.58 (define @t27 () (=> @t26 @t17)) % 0.37/0.58 (define @t28 () (and @t9 @t13 @t11)) % 0.37/0.58 (define @t29 () (=> @t28 @t2)) % 0.37/0.58 (define @t30 () (and @t14 @t6)) % 0.37/0.58 (define @t31 () (=> @t30 @t18)) % 0.37/0.58 (define @t32 () (and @t12 @t5 @t6)) % 0.37/0.58 (define @t33 () (=> @t32 @t11)) % 0.37/0.58 (define @t34 () (not @t9)) % 0.37/0.58 (define @t35 () (and @t34 @t19)) % 0.37/0.58 (define @t36 () (=> @t35 @t12)) % 0.37/0.58 (define @t37 () (not @t25)) % 0.37/0.58 (define @t38 () (and @t6 @t13 @t9 @t37)) % 0.37/0.58 (define @t39 () (=> @t38 @t11)) % 0.37/0.58 (define @t40 () (and @t5 @t10)) % 0.37/0.58 (define @t41 () (=> @t40 @t17)) % 0.37/0.58 (define @t42 () (and @t14 @t37 @t22)) % 0.37/0.58 (define @t43 () (=> @t42 @t23)) % 0.37/0.58 (define @t44 () (and @t12 @t1)) % 0.37/0.58 (define @t45 () (=> @t44 @t17)) % 0.37/0.58 (define @t46 () (and @t34 @t24)) % 0.37/0.58 (define @t47 () (=> @t46 @t14)) % 0.37/0.58 (define @t48 () (and @t13 @t25 @t10)) % 0.37/0.58 (define @t49 () (=> @t48 @t3)) % 0.37/0.58 (define @t50 () (and @t9 @t19)) % 0.37/0.58 (define @t51 () (=> @t50 @t10)) % 0.37/0.58 (define @t52 () (and @t5 @t23)) % 0.37/0.58 (define @t53 () (=> @t52 @t10)) % 0.37/0.58 (define @t54 () (and @t53 @t51 @t49 @t47 @t45 @t43 @t41 @t39 @t36 @t33 @t31 @t29 @t27 @t21 @t16)) % 0.37/0.58 (define @t55 () (@list @t5 @t23 @t10 @t9 @t14 @t6 @t25 @t3 @t12 @t1 @t17)) % 0.37/0.58 (define @t56 () (forall @t55 (=> @t54 @t8))) % 0.37/0.58 (define @t57 () (not @t56)) % 0.37/0.58 (define @t58 () (and @t14 @t13 @t11 @t34)) % 0.37/0.58 (define @t59 () (and @t9 @t1 @t19 @t17)) % 0.37/0.58 (define @t60 () (and @t25 @t24 @t22 @t18)) % 0.37/0.58 (define @t61 () (and @t9 @t13 @t11 @t1)) % 0.37/0.58 (define @t62 () (and @t14 @t17)) % 0.37/0.58 (define @t63 () (and @t12 @t10)) % 0.37/0.58 (define @t64 () (and @t34 @t19 @t13)) % 0.37/0.58 (define @t65 () (and @t13 @t9 @t37 @t10)) % 0.37/0.58 (define @t66 () (and @t10 @t18)) % 0.37/0.58 (define @t67 () (and @t14 @t37 @t22 @t24)) % 0.37/0.58 (define @t68 () (and @t12 @t1 @t18)) % 0.37/0.58 (define @t69 () (and @t34 @t24 @t19)) % 0.37/0.58 (define @t70 () (and @t13 @t25 @t10 @t22)) % 0.37/0.58 (define @t71 () (and @t9 @t19 @t11)) % 0.37/0.58 (define @t72 () (and @t23 @t11)) % 0.37/0.58 (define @t73 () (or @t72 @t71 @t70 @t69 @t68 @t67 @t66 @t65 @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t4)) % 0.37/0.58 (define @t74 () (not true)) % 0.37/0.58 (define @t75 () (and @t12 true @t10)) % 0.37/0.58 (define @t76 () (and true @t10 @t18)) % 0.37/0.58 (define @t77 () (and true @t23 @t11)) % 0.37/0.58 (define @t78 () (or @t77 @t71 @t70 @t69 @t68 @t67 @t76 @t65 @t64 @t75 @t62 @t61 @t60 @t59 @t58 @t74 @t4)) % 0.37/0.58 (define @t79 () (@list @t23 @t10 @t9 @t14 @t25 @t3 @t12 @t1 @t17)) % 0.37/0.58 (define @t80 () (not @t5)) % 0.37/0.58 (define @t81 () (and @t12 @t5 @t10)) % 0.37/0.58 (define @t82 () (and @t5 @t10 @t18)) % 0.37/0.58 (define @t83 () (and @t5 @t23 @t11)) % 0.37/0.58 (define @t84 () (@list @t5)) % 0.37/0.58 (define @t85 () (or @t80 @t83 @t71 @t70 @t69 @t68 @t67 @t82 @t65 @t64 @t81 @t62 @t61 @t60 @t59 @t58 @t80 @t4)) % 0.37/0.58 (define @t86 () (or @t83 @t71 @t70 @t69 @t68 @t67 @t82 @t65 @t64 @t81 @t62 @t61 @t60 @t59 @t58 @t80 @t4)) % 0.37/0.58 (define @t87 () (forall @t84 @t86)) % 0.37/0.58 (define @t88 () (forall @t79 @t87)) % 0.37/0.58 (define @t89 () (forall (@list @t23 @t10 @t9 @t14 @t25 @t3 @t12 @t1 @t17 @t5) @t86)) % 0.37/0.58 (define @t90 () (@list @t5 @t23 @t10 @t9 @t14 @t25 @t3 @t12 @t1 @t17)) % 0.37/0.58 (define @t91 () (and @t14 true @t17)) % 0.37/0.58 (define @t92 () (and @t12 @t5 true @t10)) % 0.37/0.58 (define @t93 () (and true @t13 @t9 @t37 @t10)) % 0.37/0.58 (define @t94 () (or @t83 @t71 @t70 @t69 @t68 @t67 @t82 @t93 @t64 @t92 @t91 @t61 @t60 @t59 @t58 @t74 @t80 @t4)) % 0.37/0.58 (define @t95 () (not @t6)) % 0.37/0.58 (define @t96 () (and @t14 @t6 @t17)) % 0.37/0.58 (define @t97 () (and @t12 @t5 @t6 @t10)) % 0.37/0.58 (define @t98 () (and @t6 @t13 @t9 @t37 @t10)) % 0.37/0.58 (define @t99 () (@list @t6)) % 0.37/0.58 (define @t100 () (or @t95 @t83 @t71 @t70 @t69 @t68 @t67 @t82 @t98 @t64 @t97 @t96 @t61 @t60 @t59 @t58 @t95 @t80 @t4)) % 0.37/0.58 (define @t101 () (or @t83 @t71 @t70 @t69 @t68 @t67 @t82 @t98 @t64 @t97 @t96 @t61 @t60 @t59 @t58 @t95 @t80 @t4)) % 0.37/0.58 (define @t102 () (forall @t99 @t101)) % 0.37/0.58 (define @t103 () (forall @t90 @t102)) % 0.37/0.58 (define @t104 () (forall (@list @t5 @t23 @t10 @t9 @t14 @t25 @t3 @t12 @t1 @t17 @t6) @t101)) % 0.37/0.58 (define @t105 () (or @t95 @t80 @t4)) % 0.37/0.58 (define @t106 () (not @t18)) % 0.37/0.58 (define @t107 () (not @t11)) % 0.37/0.58 (define @t108 () (not @t16)) % 0.37/0.58 (define @t109 () (not @t21)) % 0.37/0.58 (define @t110 () (not @t27)) % 0.37/0.58 (define @t111 () (not @t29)) % 0.37/0.58 (define @t112 () (not @t31)) % 0.37/0.58 (define @t113 () (not @t33)) % 0.37/0.58 (define @t114 () (not @t36)) % 0.37/0.58 (define @t115 () (not @t39)) % 0.37/0.58 (define @t116 () (not @t41)) % 0.37/0.58 (define @t117 () (not @t43)) % 0.37/0.58 (define @t118 () (not @t45)) % 0.37/0.58 (define @t119 () (not @t47)) % 0.37/0.58 (define @t120 () (not @t49)) % 0.37/0.58 (define @t121 () (not @t51)) % 0.37/0.58 (define @t122 () (not @t53)) % 0.37/0.58 (define @t123 () (or @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t110 @t109 @t108)) % 0.37/0.58 (define @t124 () (forall @t79 @t73)) % 0.37/0.58 (define @t125 () (@quantifiers_skolemize @t124 7)) % 0.37/0.58 (define @t126 () (not @t125)) % 0.37/0.58 (define @t127 () (@quantifiers_skolemize @t124 5)) % 0.37/0.58 (define @t128 () (and @t127 @t126)) % 0.37/0.58 (define @t129 () (@quantifiers_skolemize @t124 2)) % 0.37/0.58 (define @t130 () (not @t129)) % 0.37/0.58 (define @t131 () (@quantifiers_skolemize @t124 1)) % 0.37/0.58 (define @t132 () (not @t131)) % 0.37/0.58 (define @t133 () (@quantifiers_skolemize @t124 6)) % 0.37/0.58 (define @t134 () (not @t133)) % 0.37/0.58 (define @t135 () (@quantifiers_skolemize @t124 3)) % 0.37/0.58 (define @t136 () (and @t135 @t134 @t132 @t130)) % 0.37/0.58 (define @t137 () (@quantifiers_skolemize @t124 8)) % 0.37/0.58 (define @t138 () (not @t135)) % 0.37/0.58 (define @t139 () (and @t129 @t125 @t138 @t137)) % 0.37/0.58 (define @t140 () (not @t137)) % 0.37/0.58 (define @t141 () (not @t127)) % 0.37/0.58 (define @t142 () (@quantifiers_skolemize @t124 0)) % 0.37/0.58 (define @t143 () (not @t142)) % 0.37/0.58 (define @t144 () (@quantifiers_skolemize @t124 4)) % 0.37/0.58 (define @t145 () (and @t144 @t143 @t141 @t140)) % 0.37/0.58 (define @t146 () (and @t129 @t134 @t132 @t125)) % 0.37/0.58 (define @t147 () (and @t135 @t137)) % 0.37/0.58 (define @t148 () (and @t133 @t131)) % 0.37/0.58 (define @t149 () (and @t130 @t138 @t134)) % 0.37/0.58 (define @t150 () (not @t144)) % 0.37/0.58 (define @t151 () (and @t134 @t129 @t150 @t131)) % 0.37/0.58 (define @t152 () (and @t131 @t140)) % 0.37/0.58 (define @t153 () (and @t135 @t150 @t141 @t143)) % 0.37/0.58 (define @t154 () (and @t133 @t125 @t140)) % 0.37/0.58 (define @t155 () (and @t130 @t143 @t138)) % 0.37/0.58 (define @t156 () (and @t134 @t144 @t131 @t141)) % 0.37/0.58 (define @t157 () (and @t129 @t138 @t132)) % 0.37/0.58 (define @t158 () (and @t142 @t132)) % 0.37/0.58 (define @t159 () (or @t158 @t157 @t156 @t155 @t154 @t153 @t152 @t151 @t149 @t148 @t147 @t146 @t145 @t139 @t136 @t128)) % 0.37/0.58 (define @t160 () (@list true)) % 0.37/0.58 (define @t161 () (@list @t159)) % 0.37/0.58 (define @t162 () (not @t138)) % 0.37/0.58 (define @t163 () (not @t143)) % 0.37/0.58 (define @t164 () (not @t130)) % 0.37/0.58 (define @t165 () (not @t140)) % 0.37/0.58 (define @t166 () (not @t132)) % 0.37/0.58 (define @t167 () (not @t134)) % 0.37/0.58 (define @t168 () (not @t141)) % 0.37/0.58 (define @t169 () (not @t150)) % 0.37/0.58 (define @t170 () (not @t159)) % 0.37/0.58 (define @t171 () (not @t124)) % 0.37/0.58 (define @t172 () (@list false true)) % 0.37/0.58 (define @t173 () (@list true false false true)) % 0.37/0.58 (assume @p1 @t57) % 0.37/0.58 (assume @p2 true) % 0.37/0.58 (step @p3 :rule aci_norm :args ((= (or @t72 @t71 @t70 @t69 @t68 @t67 @t66 @t65 @t64 @t63 @t62 @t61 @t60 @t59 @t58 false @t4) @t73))) % 0.37/0.58 (step @p4 :rule refl :args (@t4)) % 0.37/0.58 (step @p5 :rule evaluate :args (@t74)) % 0.37/0.58 (step @p6 :rule refl :args (@t58)) % 0.37/0.58 (step @p7 :rule refl :args (@t59)) % 0.37/0.58 (step @p8 :rule refl :args (@t60)) % 0.37/0.58 (step @p9 :rule refl :args (@t61)) % 0.37/0.58 (step @p10 :rule refl :args (@t62)) % 0.37/0.58 (step @p11 :rule aci_norm :args ((= @t75 @t63))) % 0.37/0.58 (step @p12 :rule refl :args (@t64)) % 0.37/0.58 (step @p13 :rule refl :args (@t65)) % 0.37/0.58 (step @p14 :rule aci_norm :args ((= @t76 @t66))) % 0.37/0.58 (step @p15 :rule refl :args (@t67)) % 0.37/0.58 (step @p16 :rule refl :args (@t68)) % 0.37/0.58 (step @p17 :rule refl :args (@t69)) % 0.37/0.58 (step @p18 :rule refl :args (@t70)) % 0.37/0.58 (step @p19 :rule refl :args (@t71)) % 0.37/0.58 (step @p20 :rule aci_norm :args ((= @t77 @t72))) % 0.37/0.58 (step @p21 :rule nary_cong :premises (@p20 @p19 @p18 @p17 @p16 @p15 @p14 @p13 @p12 @p11 @p10 @p9 @p8 @p7 @p6 @p5 @p4) :args (@t78)) % 0.37/0.58 (step @p22 :rule trans :premises (@p21 @p3)) % 0.37/0.58 (step @p23 :rule cong :premises (@p22) :args ((forall @t79 @t78))) % 0.37/0.58 (step @p24 :rule quant-var-elim-eq :args ((= (forall @t84 (or (not (= @t5 true)) @t83 @t71 @t70 @t69 @t68 @t67 @t82 @t65 @t64 @t81 @t62 @t61 @t60 @t59 @t58 @t80 @t4)) @t78))) % 0.37/0.58 (step @p25 :rule refl :args (@t4)) % 0.37/0.58 (step @p26 :rule refl :args (@t80)) % 0.37/0.58 (step @p27 :rule refl :args (@t58)) % 0.37/0.58 (step @p28 :rule refl :args (@t59)) % 0.37/0.58 (step @p29 :rule refl :args (@t60)) % 0.37/0.58 (step @p30 :rule refl :args (@t61)) % 0.37/0.58 (step @p31 :rule refl :args (@t62)) % 0.37/0.58 (step @p32 :rule refl :args (@t81)) % 0.37/0.58 (step @p33 :rule refl :args (@t64)) % 0.37/0.58 (step @p34 :rule refl :args (@t65)) % 0.37/0.58 (step @p35 :rule refl :args (@t82)) % 0.37/0.58 (step @p36 :rule refl :args (@t67)) % 0.37/0.58 (step @p37 :rule refl :args (@t68)) % 0.37/0.58 (step @p38 :rule refl :args (@t69)) % 0.37/0.58 (step @p39 :rule refl :args (@t70)) % 0.37/0.58 (step @p40 :rule refl :args (@t71)) % 0.37/0.58 (step @p41 :rule refl :args (@t83)) % 0.37/0.58 (step @p42 :rule bool-eq-true :args (@t5)) % 0.37/0.58 (step @p43 :rule symm :premises (@p42)) % 0.37/0.58 (step @p44 :rule cong :premises (@p43) :args (@t80)) % 0.37/0.58 (step @p45 :rule nary_cong :premises (@p44 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25) :args (@t85)) % 0.37/0.58 (step @p46 :rule aci_norm :args ((= @t86 @t85))) % 0.37/0.58 (step @p47 :rule trans :premises (@p46 @p45)) % 0.37/0.58 (step @p48 :rule cong :premises (@p47) :args (@t87)) % 0.37/0.58 (step @p49 :rule trans :premises (@p48 @p24)) % 0.37/0.58 (step @p50 :rule cong :premises (@p49) :args (@t88)) % 0.37/0.58 (step @p51 :rule quant-merge-prenex :args ((= @t88 @t89))) % 0.37/0.58 (step @p52 :rule symm :premises (@p51)) % 0.37/0.58 (step @p53 :rule quant_var_reordering :args ((= (forall @t90 @t86) @t89))) % 0.37/0.58 (step @p54 :rule trans :premises (@p53 @p52 @p50)) % 0.37/0.58 (step @p55 :rule trans :premises (@p54 @p23)) % 0.37/0.58 (step @p56 :rule aci_norm :args ((= (or @t83 @t71 @t70 @t69 @t68 @t67 @t82 @t65 @t64 @t81 @t62 @t61 @t60 @t59 @t58 false @t80 @t4) @t86))) % 0.37/0.58 (step @p57 :rule refl :args (@t80)) % 0.37/0.58 (step @p58 :rule aci_norm :args ((= @t91 @t62))) % 0.37/0.58 (step @p59 :rule aci_norm :args ((= @t92 @t81))) % 0.37/0.58 (step @p60 :rule aci_norm :args ((= @t93 @t65))) % 0.37/0.58 (step @p61 :rule refl :args (@t82)) % 0.37/0.58 (step @p62 :rule refl :args (@t83)) % 0.37/0.58 (step @p63 :rule nary_cong :premises (@p62 @p19 @p18 @p17 @p16 @p15 @p61 @p60 @p12 @p59 @p58 @p9 @p8 @p7 @p6 @p5 @p57 @p4) :args (@t94)) % 0.37/0.58 (step @p64 :rule trans :premises (@p63 @p56)) % 0.37/0.58 (step @p65 :rule cong :premises (@p64) :args ((forall @t90 @t94))) % 0.37/0.58 (step @p66 :rule trans :premises (@p65 @p55)) % 0.37/0.58 (step @p67 :rule quant-var-elim-eq :args ((= (forall @t99 (or (not (= @t6 true)) @t83 @t71 @t70 @t69 @t68 @t67 @t82 @t98 @t64 @t97 @t96 @t61 @t60 @t59 @t58 @t95 @t80 @t4)) @t94))) % 0.37/0.58 (step @p68 :rule refl :args (@t95)) % 0.37/0.58 (step @p69 :rule refl :args (@t96)) % 0.37/0.58 (step @p70 :rule refl :args (@t97)) % 0.37/0.58 (step @p71 :rule refl :args (@t98)) % 0.37/0.58 (step @p72 :rule bool-eq-true :args (@t6)) % 0.37/0.58 (step @p73 :rule symm :premises (@p72)) % 0.37/0.58 (step @p74 :rule cong :premises (@p73) :args (@t95)) % 0.37/0.58 (step @p75 :rule nary_cong :premises (@p74 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p71 @p33 @p70 @p69 @p30 @p29 @p28 @p27 @p68 @p26 @p25) :args (@t100)) % 0.37/0.58 (step @p76 :rule aci_norm :args ((= @t101 @t100))) % 0.37/0.58 (step @p77 :rule trans :premises (@p76 @p75)) % 0.37/0.58 (step @p78 :rule cong :premises (@p77) :args (@t102)) % 0.37/0.58 (step @p79 :rule trans :premises (@p78 @p67)) % 0.37/0.58 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@p248 :rule reordering :premises (@p247) :args ((or @t137 @t132 @t152))) % 0.37/0.58 (step @p249 :rule cnf_or_neg :args (@t159 14)) % 0.37/0.58 (step @p250 :rule chain_m_resolution :premises (@p249 @p221) :args ((not @t136) @t160 @t161)) % 0.37/0.58 (step @p251 :rule bool-double-not-elim :args (@t131)) % 0.37/0.58 (step @p252 :rule bool-double-not-elim :args (@t133)) % 0.37/0.58 (step @p253 :rule refl :args (@t138)) % 0.37/0.58 (step @p254 :rule refl :args (@t136)) % 0.37/0.58 (step @p255 :rule nary_cong :premises (@p254 @p253 @p252 @p251 @p230) :args ((or @t136 @t138 @t167 @t166 @t164))) % 0.37/0.58 (step @p256 :rule cnf_and_neg :args (@t136)) % 0.37/0.58 (step @p257 :rule eq_resolve :premises (@p256 @p255)) % 0.37/0.58 (step @p258 :rule reordering :premises (@p257) :args ((or @t131 @t129 @t133 @t138 @t136))) % 0.37/0.58 (step @p259 :rule cnf_or_neg :args (@t159 4)) % 0.37/0.58 (step @p260 :rule chain_m_resolution :premises (@p259 @p221) :args ((not @t154) @t160 @t161)) % 0.37/0.58 (step @p261 :rule refl :args (@t126)) % 0.37/0.58 (step @p262 :rule refl :args (@t134)) % 0.37/0.58 (step @p263 :rule refl :args (@t154)) % 0.37/0.58 (step @p264 :rule nary_cong :premises (@p263 @p262 @p261 @p242) :args ((or @t154 @t134 @t126 @t165))) % 0.37/0.58 (step @p265 :rule cnf_and_neg :args (@t154)) % 0.37/0.58 (step @p266 :rule eq_resolve :premises (@p265 @p264)) % 0.37/0.58 (step @p267 :rule reordering :premises (@p266) :args ((or @t137 @t134 @t154 @t126))) % 0.37/0.58 (step @p268 :rule cnf_or_neg :args (@t159 15)) % 0.37/0.58 (step @p269 :rule chain_m_resolution :premises (@p268 @p221) :args ((not @t128) @t160 @t161)) % 0.37/0.58 (step @p270 :rule bool-double-not-elim :args (@t125)) % 0.37/0.58 (step @p271 :rule refl :args (@t141)) % 0.37/0.58 (step @p272 :rule refl :args (@t128)) % 0.37/0.58 (step @p273 :rule nary_cong :premises (@p272 @p271 @p270) :args ((or @t128 @t141 (not @t126)))) % 0.37/0.58 (step @p274 :rule cnf_and_neg :args (@t128)) % 0.37/0.58 (step @p275 :rule eq_resolve :premises (@p274 @p273)) % 0.37/0.58 (step @p276 :rule reordering :premises (@p275) :args ((or @t125 @t141 @t128))) % 0.37/0.58 (step @p277 :rule cnf_or_neg :args (@t159 12)) % 0.37/0.58 (step @p278 :rule chain_m_resolution :premises (@p277 @p221) :args ((not @t145) @t160 @t161)) % 0.37/0.58 (step @p279 :rule bool-double-not-elim :args (@t127)) % 0.37/0.58 (step @p280 :rule refl :args (@t150)) % 0.37/0.58 (step @p281 :rule refl :args (@t145)) % 0.37/0.58 (step @p282 :rule nary_cong :premises (@p281 @p280 @p229 @p279 @p242) :args ((or @t145 @t150 @t163 @t168 @t165))) % 0.37/0.58 (step @p283 :rule cnf_and_neg :args (@t145)) % 0.37/0.58 (step @p284 :rule eq_resolve :premises (@p283 @p282)) % 0.37/0.58 (step @p285 :rule reordering :premises (@p284) :args ((or @t142 @t127 @t137 @t150 @t145))) % 0.37/0.58 (step @p286 :rule cnf_or_neg :args (@t159 5)) % 0.37/0.58 (step @p287 :rule chain_m_resolution :premises (@p286 @p221) :args ((not @t153) @t160 @t161)) % 0.37/0.58 (step @p288 :rule bool-double-not-elim :args (@t144)) % 0.37/0.58 (step @p289 :rule refl :args (@t153)) % 0.37/0.58 (step @p290 :rule nary_cong :premises (@p289 @p253 @p288 @p279 @p229) :args ((or @t153 @t138 @t169 @t168 @t163))) % 0.37/0.58 (step @p291 :rule cnf_and_neg :args (@t153)) % 0.37/0.58 (step @p292 :rule eq_resolve :premises (@p291 @p290)) % 0.37/0.58 (step @p293 :rule reordering :premises (@p292) :args ((or @t142 @t144 @t127 @t138 @t153))) % 0.37/0.58 (step @p294 :rule chain_m_resolution :premises (@p293 @p287 @p285 @p278 @p276 @p269 @p267 @p260 @p258 @p250 @p248 @p241 @p239 @p237 @p235 @p227) :args ((or @t142 @t129) (@list true true true true true true true false true true true true true false true) (@list @t153 @t144 @t145 @t127 @t128 @t125 @t154 @t133 @t136 @t131 @t152 @t137 @t147 @t135 @t155))) % 0.37/0.58 (step @p295 :rule refl :args (@t170)) % 0.37/0.58 (step @p296 :rule bool-double-not-elim :args (@t124)) % 0.37/0.58 (step @p297 :rule nary_cong :premises (@p296 @p295) :args ((or (not @t171) @t170))) % 0.37/0.58 (assume-push @p367 @t171) % 0.37/0.58 (step-pop @p368 :rule scope :premises (@p221)) % 0.37/0.58 (step @p299 :rule process_scope :premises (@p368) :args (@t170)) % 0.37/0.58 (step @p301 :rule implies_elim :premises (@p299)) % 0.37/0.58 (step @p302 :rule eq_resolve :premises (@p301 @p297)) % 0.37/0.58 (step @p303 :rule chain_m_resolution :premises (@p293 @p287 @p285 @p278 @p239 @p236 @p302 @p220) :args ((or @t142 @t127 @t138) (@list true true true true true true true) (@list @t153 @t144 @t145 @t137 @t147 @t159 @t124))) % 0.37/0.58 (step @p304 :rule cnf_or_neg :args (@t159 11)) % 0.37/0.58 (step @p305 :rule chain_m_resolution :premises (@p304 @p221) :args ((not @t146) @t160 @t161)) % 0.37/0.58 (step @p306 :rule refl :args (@t130)) % 0.37/0.58 (step @p307 :rule refl :args (@t146)) % 0.37/0.58 (step @p308 :rule nary_cong :premises (@p307 @p306 @p252 @p251 @p261) :args ((or @t146 @t130 @t167 @t166 @t126))) % 0.37/0.58 (step @p309 :rule cnf_and_neg :args (@t146)) % 0.37/0.58 (step @p310 :rule eq_resolve :premises (@p309 @p308)) % 0.37/0.58 (step @p311 :rule reordering :premises (@p310) :args ((or @t131 @t133 @t130 @t146 @t126))) % 0.37/0.58 (step @p312 :rule chain_m_resolution :premises (@p311 @p305 @p267 @p260 @p276 @p269 @p303 @p248 @p241 @p239 @p237 @p294) :args ((or @t142 @t138) (@list true true true false true false true true true true false) (@list @t146 @t133 @t154 @t125 @t128 @t127 @t131 @t152 @t137 @t147 @t129))) % 0.37/0.58 (step @p313 :rule cnf_or_neg :args (@t159 1)) % 0.37/0.58 (step @p314 :rule chain_m_resolution :premises (@p313 @p221) :args ((not @t157) @t160 @t161)) % 0.37/0.58 (step @p315 :rule refl :args (@t157)) % 0.37/0.58 (step @p316 :rule nary_cong :premises (@p315 @p306 @p228 @p251) :args ((or @t157 @t130 @t162 @t166))) % 0.37/0.58 (step @p317 :rule cnf_and_neg :args (@t157)) % 0.37/0.58 (step @p318 :rule eq_resolve :premises (@p317 @p316)) % 0.37/0.58 (step @p319 :rule reordering :premises (@p318) :args ((or @t131 @t135 @t157 @t130))) % 0.37/0.58 (step @p320 :rule cnf_and_neg :args (@t148)) % 0.37/0.58 (step @p321 :rule reordering :premises (@p320) :args ((or @t132 @t134 @t148))) % 0.37/0.58 (step @p322 :rule cnf_or_neg :args (@t159 13)) % 0.37/0.58 (step @p323 :rule chain_m_resolution :premises (@p322 @p221) :args ((not @t139) @t160 @t161)) % 0.37/0.58 (step @p324 :rule refl :args (@t140)) % 0.37/0.58 (step @p325 :rule refl :args (@t139)) % 0.37/0.58 (step @p326 :rule nary_cong :premises (@p325 @p306 @p261 @p228 @p324) :args ((or @t139 @t130 @t126 @t162 @t140))) % 0.37/0.58 (step @p327 :rule cnf_and_neg :args (@t139)) % 0.37/0.58 (step @p328 :rule eq_resolve :premises (@p327 @p326)) % 0.37/0.58 (step @p329 :rule reordering :premises (@p328) :args ((or @t135 @t130 @t140 @t139 @t126))) % 0.37/0.58 (step @p330 :rule cnf_or_neg :args (@t159 7)) % 0.37/0.58 (step @p331 :rule chain_m_resolution :premises (@p330 @p221) :args ((not @t151) @t160 @t161)) % 0.37/0.58 (step @p332 :rule refl :args (@t151)) % 0.37/0.58 (step @p333 :rule nary_cong :premises (@p332 @p252 @p306 @p288 @p243) :args ((or @t151 @t167 @t130 @t169 @t132))) % 0.37/0.58 (step @p334 :rule cnf_and_neg :args (@t151)) % 0.37/0.58 (step @p335 :rule eq_resolve :premises (@p334 @p333)) % 0.37/0.58 (step @p336 :rule reordering :premises (@p335) :args ((or @t144 @t133 @t132 @t130 @t151))) % 0.37/0.58 (step @p337 :rule refl :args (@t156)) % 0.37/0.58 (step @p338 :rule nary_cong :premises (@p337 @p252 @p280 @p243 @p279) :args ((or @t156 @t167 @t150 @t132 @t168))) % 0.37/0.59 (step @p339 :rule cnf_and_neg :args (@t156)) % 0.37/0.59 (step @p340 :rule eq_resolve :premises (@p339 @p338)) % 0.37/0.59 (step @p341 :rule reordering :premises (@p340) :args ((or @t127 @t133 @t132 @t156 @t150))) % 0.37/0.59 (step @p342 :rule chain_m_resolution :premises (@p341 @p223 @p276 @p269 @p336 @p331 @p329 @p323 @p321 @p225 @p248 @p241 @p319 @p314 @p312 @p294) :args (@t142 (@list true true true false true true true true true false true false true true false) (@list @t156 @t127 @t128 @t144 @t151 @t125 @t139 @t133 @t148 @t137 @t152 @t131 @t157 @t135 @t129))) % 0.37/0.59 (step @p343 :rule cnf_or_neg :args (@t159 0)) % 0.37/0.59 (step @p344 :rule chain_m_resolution :premises (@p343 @p221) :args ((not @t158) @t160 @t161)) % 0.37/0.59 (step @p345 :rule refl :args (@t143)) % 0.37/0.59 (step @p346 :rule refl :args (@t158)) % 0.37/0.59 (step @p347 :rule nary_cong :premises (@p346 @p345 @p251) :args ((or @t158 @t143 @t166))) % 0.37/0.59 (step @p348 :rule cnf_and_neg :args (@t158)) % 0.37/0.59 (step @p349 :rule eq_resolve :premises (@p348 @p347)) % 0.37/0.59 (step @p350 :rule reordering :premises (@p349) :args ((or @t131 @t158 @t143))) % 0.37/0.59 (step @p351 :rule chain_m_resolution :premises (@p350 @p344 @p342) :args (@t131 (@list true false) (@list @t158 @t142))) % 0.37/0.59 (step @p352 :rule chain_m_resolution :premises (@p321 @p351 @p225) :args (@t134 @t172 (@list @t131 @t148))) % 0.37/0.59 (step @p353 :rule cnf_or_neg :args (@t159 8)) % 0.37/0.59 (step @p354 :rule chain_m_resolution :premises (@p353 @p221) :args ((not @t149) @t160 @t161)) % 0.37/0.59 (step @p355 :rule chain_m_resolution :premises (@p248 @p351 @p241) :args (@t137 @t172 (@list @t131 @t152))) % 0.37/0.59 (step @p356 :rule chain_m_resolution :premises (@p239 @p355 @p237) :args (@t138 @t172 (@list @t137 @t147))) % 0.37/0.59 (step @p357 :rule refl :args (@t149)) % 0.37/0.59 (step @p358 :rule nary_cong :premises (@p357 @p230 @p228 @p252) :args ((or @t149 @t164 @t162 @t167))) % 0.37/0.59 (step @p359 :rule cnf_and_neg :args (@t149)) % 0.37/0.59 (step @p360 :rule eq_resolve :premises (@p359 @p358)) % 0.37/0.59 (step @p361 :rule reordering :premises (@p360) :args ((or @t129 @t135 @t133 @t149))) % 0.37/0.59 (step @p362 :rule chain_m_resolution :premises (@p361 @p356 @p352 @p354) :args (@t129 (@list true true true) (@list @t135 @t133 @t149))) % 0.37/0.59 (step @p363 :rule chain_m_resolution :premises (@p336 @p352 @p351 @p362 @p331) :args (@t144 @t173 (@list @t133 @t131 @t129 @t151))) % 0.37/0.59 (step @p364 :rule chain_m_resolution :premises (@p329 @p356 @p362 @p355 @p323) :args (@t126 @t173 (@list @t135 @t129 @t137 @t139))) % 0.37/0.59 (step @p365 :rule chain_m_resolution :premises (@p276 @p364 @p269) :args (@t141 (@list true true) (@list @t125 @t128))) % 0.37/0.59 (step @p366 false :rule chain_m_resolution :premises (@p341 @p365 @p363 @p351 @p352 @p223) :args (false (@list true false false true true) (@list @t127 @t144 @t131 @t133 @t156))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------