%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN706-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 09:09:41 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN706-1 : TPTP v9.2.1. Released v2.5.0. % 0.14/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.33 % Computer : n022.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % 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 23:33:53 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Unsatisfiable % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.c62 $$unsorted) % 0.39/0.57 (declare-const tptp.c52 $$unsorted) % 0.39/0.57 (declare-const tptp.p12 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.f25 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.p13 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.c57 $$unsorted) % 0.39/0.57 (declare-const tptp.p15 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.p16 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.c58 $$unsorted) % 0.39/0.57 (declare-const tptp.p18 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.f35 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.p19 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.p21 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.p22 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.c59 $$unsorted) % 0.39/0.57 (declare-const tptp.f5 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.p27 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.p29 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.p9 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.f31 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.p7 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.c50 $$unsorted) % 0.39/0.57 (declare-const tptp.p6 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.f20 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.c49 $$unsorted) % 0.39/0.57 (declare-const tptp.f23 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.p43 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.p41 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.p48 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.p10 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.p4 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.p39 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.f42 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.p37 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.f17 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.p36 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.p33 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.c56 $$unsorted) % 0.39/0.57 (declare-const tptp.f44 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.p45 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.c61 $$unsorted) % 0.39/0.57 (declare-const tptp.c51 $$unsorted) % 0.39/0.57 (declare-const tptp.p47 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.c60 $$unsorted) % 0.39/0.57 (declare-const tptp.f40 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.f38 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.p3 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.p46 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.c55 $$unsorted) % 0.39/0.57 (declare-const tptp.f14 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.p26 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.c54 $$unsorted) % 0.39/0.57 (declare-const tptp.p24 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.f11 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.p30 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.f32 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.f34 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.f28 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.c53 $$unsorted) % 0.39/0.57 (define @t1 () (@var "X0" $$unsorted)) % 0.39/0.57 (define @t2 () (@var "X168" $$unsorted)) % 0.39/0.57 (define @t3 () (@var "X159" $$unsorted)) % 0.39/0.57 (define @t4 () (@var "X152" $$unsorted)) % 0.39/0.57 (define @t5 () (@var "X143" $$unsorted)) % 0.39/0.57 (define @t6 () (@var "X125" $$unsorted)) % 0.39/0.57 (define @t7 () (@var "X118" $$unsorted)) % 0.39/0.57 (define @t8 () (@var "X105" $$unsorted)) % 0.39/0.57 (define @t9 () (@var "X102" $$unsorted)) % 0.39/0.57 (define @t10 () (@var "X95" $$unsorted)) % 0.39/0.57 (define @t11 () (@var "X88" $$unsorted)) % 0.39/0.57 (define @t12 () (@var "X85" $$unsorted)) % 0.39/0.57 (define @t13 () (@var "X78" $$unsorted)) % 0.39/0.57 (define @t14 () (@var "X71" $$unsorted)) % 0.39/0.57 (define @t15 () (@var "X64" $$unsorted)) % 0.39/0.57 (define @t16 () (@var "X61" $$unsorted)) % 0.39/0.57 (define @t17 () (@var "X54" $$unsorted)) % 0.39/0.57 (define @t18 () (@var "X47" $$unsorted)) % 0.39/0.57 (define @t19 () (@var "X44" $$unsorted)) % 0.39/0.57 (define @t20 () (@var "X41" $$unsorted)) % 0.39/0.57 (define @t21 () (@var "X34" $$unsorted)) % 0.39/0.57 (define @t22 () (@var "X31" $$unsorted)) % 0.39/0.57 (define @t23 () (@var "X24" $$unsorted)) % 0.39/0.57 (define @t24 () (@var "X21" $$unsorted)) % 0.39/0.57 (define @t25 () (@var "X14" $$unsorted)) % 0.39/0.57 (define @t26 () (@var "X7" $$unsorted)) % 0.39/0.57 (define @t27 () (tptp.f20 tptp.c52 tptp.c50)) % 0.39/0.57 (define @t28 () (tptp.p45 @t27 tptp.c58)) % 0.39/0.57 (define @t29 () (tptp.f5 tptp.c49 tptp.c50)) % 0.39/0.57 (define @t30 () (tptp.f40 tptp.c59 tptp.c50)) % 0.39/0.57 (define @t31 () (tptp.f38 @t30 tptp.c58)) % 0.39/0.57 (define @t32 () (tptp.p48 @t31 tptp.c60)) % 0.39/0.57 (define @t33 () (@var "X2" $$unsorted)) % 0.39/0.57 (define @t34 () (@var "X1" $$unsorted)) % 0.39/0.57 (define @t35 () (@var "X169" $$unsorted)) % 0.39/0.57 (define @t36 () (@var "X170" $$unsorted)) % 0.39/0.57 (define @t37 () (@var "X161" $$unsorted)) % 0.39/0.57 (define @t38 () (@var "X160" $$unsorted)) % 0.39/0.57 (define @t39 () (@var "X154" $$unsorted)) % 0.39/0.57 (define @t40 () (@var "X153" $$unsorted)) % 0.39/0.57 (define @t41 () (@var "X145" $$unsorted)) % 0.39/0.57 (define @t42 () (@var "X144" $$unsorted)) % 0.39/0.57 (define @t43 () (@var "X127" $$unsorted)) % 0.39/0.57 (define @t44 () (@var "X126" $$unsorted)) % 0.39/0.57 (define @t45 () (@var "X120" $$unsorted)) % 0.39/0.57 (define @t46 () (@var "X119" $$unsorted)) % 0.39/0.57 (define @t47 () (@var "X107" $$unsorted)) % 0.39/0.57 (define @t48 () (@var "X106" $$unsorted)) % 0.39/0.57 (define @t49 () (@var "X104" $$unsorted)) % 0.39/0.57 (define @t50 () (@var "X103" $$unsorted)) % 0.39/0.57 (define @t51 () (@var "X97" $$unsorted)) % 0.39/0.57 (define @t52 () (@var "X96" $$unsorted)) % 0.39/0.57 (define @t53 () (@var "X90" $$unsorted)) % 0.39/0.57 (define @t54 () (@var "X89" $$unsorted)) % 0.39/0.57 (define @t55 () (@var "X87" $$unsorted)) % 0.39/0.57 (define @t56 () (@var "X86" $$unsorted)) % 0.39/0.57 (define @t57 () (@var "X80" $$unsorted)) % 0.39/0.57 (define @t58 () (@var "X79" $$unsorted)) % 0.39/0.57 (define @t59 () (@var "X73" $$unsorted)) % 0.39/0.57 (define @t60 () (@var "X72" $$unsorted)) % 0.39/0.57 (define @t61 () (@var "X66" $$unsorted)) % 0.39/0.57 (define @t62 () (@var "X65" $$unsorted)) % 0.39/0.57 (define @t63 () (@var "X63" $$unsorted)) % 0.39/0.57 (define @t64 () (@var "X62" $$unsorted)) % 0.39/0.57 (define @t65 () (@var "X56" $$unsorted)) % 0.39/0.57 (define @t66 () (@var "X55" $$unsorted)) % 0.39/0.57 (define @t67 () (@var "X49" $$unsorted)) % 0.39/0.57 (define @t68 () (@var "X48" $$unsorted)) % 0.39/0.57 (define @t69 () (@var "X46" $$unsorted)) % 0.39/0.57 (define @t70 () (@var "X45" $$unsorted)) % 0.39/0.57 (define @t71 () (@var "X43" $$unsorted)) % 0.39/0.57 (define @t72 () (@var "X42" $$unsorted)) % 0.39/0.57 (define @t73 () (@var "X36" $$unsorted)) % 0.39/0.57 (define @t74 () (@var "X35" $$unsorted)) % 0.39/0.57 (define @t75 () (@var "X33" $$unsorted)) % 0.39/0.57 (define @t76 () (@var "X32" $$unsorted)) % 0.39/0.57 (define @t77 () (@var "X26" $$unsorted)) % 0.39/0.57 (define @t78 () (@var "X25" $$unsorted)) % 0.39/0.57 (define @t79 () (@var "X23" $$unsorted)) % 0.39/0.57 (define @t80 () (@var "X22" $$unsorted)) % 0.39/0.57 (define @t81 () (@var "X16" $$unsorted)) % 0.39/0.57 (define @t82 () (@var "X15" $$unsorted)) % 0.39/0.57 (define @t83 () (@var "X9" $$unsorted)) % 0.39/0.57 (define @t84 () (@var "X8" $$unsorted)) % 0.39/0.57 (define @t85 () (@var "X128" $$unsorted)) % 0.39/0.57 (define @t86 () (@var "X130" $$unsorted)) % 0.39/0.57 (define @t87 () (@var "X129" $$unsorted)) % 0.39/0.57 (define @t88 () (@var "X131" $$unsorted)) % 0.39/0.57 (define @t89 () (@var "X146" $$unsorted)) % 0.39/0.57 (define @t90 () (@var "X148" $$unsorted)) % 0.39/0.57 (define @t91 () (@var "X149" $$unsorted)) % 0.39/0.57 (define @t92 () (@var "X147" $$unsorted)) % 0.39/0.57 (define @t93 () (forall (@list @t89 @t92 @t91 @t90) (or (tptp.p48 @t89 @t92) (not (tptp.p47 @t91 @t92)) (not (tptp.p48 @t90 @t91)) (not (tptp.p37 @t90 @t89))))) % 0.39/0.57 (define @t94 () (@var "X138" $$unsorted)) % 0.39/0.57 (define @t95 () (@var "X140" $$unsorted)) % 0.39/0.57 (define @t96 () (@var "X141" $$unsorted)) % 0.39/0.57 (define @t97 () (@var "X139" $$unsorted)) % 0.39/0.57 (define @t98 () (@var "X167" $$unsorted)) % 0.39/0.57 (define @t99 () (@var "X166" $$unsorted)) % 0.39/0.57 (define @t100 () (@var "X113" $$unsorted)) % 0.39/0.57 (define @t101 () (@var "X112" $$unsorted)) % 0.39/0.57 (define @t102 () (@var "X6" $$unsorted)) % 0.39/0.57 (define @t103 () (@var "X4" $$unsorted)) % 0.39/0.57 (define @t104 () (@var "X5" $$unsorted)) % 0.39/0.57 (define @t105 () (@var "X3" $$unsorted)) % 0.39/0.57 (define @t106 () (@var "X165" $$unsorted)) % 0.39/0.57 (define @t107 () (@var "X163" $$unsorted)) % 0.39/0.57 (define @t108 () (@var "X164" $$unsorted)) % 0.39/0.57 (define @t109 () (@var "X162" $$unsorted)) % 0.39/0.57 (define @t110 () (@var "X157" $$unsorted)) % 0.39/0.57 (define @t111 () (@var "X155" $$unsorted)) % 0.39/0.57 (define @t112 () (@var "X158" $$unsorted)) % 0.39/0.57 (define @t113 () (@var "X156" $$unsorted)) % 0.39/0.57 (define @t114 () (@var "X124" $$unsorted)) % 0.39/0.57 (define @t115 () (@var "X122" $$unsorted)) % 0.39/0.57 (define @t116 () (@var "X123" $$unsorted)) % 0.39/0.57 (define @t117 () (@var "X121" $$unsorted)) % 0.39/0.57 (define @t118 () (@var "X117" $$unsorted)) % 0.39/0.57 (define @t119 () (@var "X115" $$unsorted)) % 0.39/0.57 (define @t120 () (@var "X116" $$unsorted)) % 0.39/0.57 (define @t121 () (@var "X114" $$unsorted)) % 0.39/0.57 (define @t122 () (@var "X111" $$unsorted)) % 0.39/0.57 (define @t123 () (@var "X109" $$unsorted)) % 0.39/0.57 (define @t124 () (@var "X110" $$unsorted)) % 0.39/0.57 (define @t125 () (@var "X108" $$unsorted)) % 0.39/0.57 (define @t126 () (@var "X101" $$unsorted)) % 0.39/0.57 (define @t127 () (@var "X99" $$unsorted)) % 0.39/0.57 (define @t128 () (@var "X100" $$unsorted)) % 0.39/0.57 (define @t129 () (@var "X98" $$unsorted)) % 0.39/0.57 (define @t130 () (@var "X93" $$unsorted)) % 0.39/0.57 (define @t131 () (@var "X91" $$unsorted)) % 0.39/0.57 (define @t132 () (@var "X94" $$unsorted)) % 0.39/0.57 (define @t133 () (@var "X92" $$unsorted)) % 0.39/0.57 (define @t134 () (@var "X83" $$unsorted)) % 0.39/0.57 (define @t135 () (@var "X81" $$unsorted)) % 0.39/0.57 (define @t136 () (@var "X84" $$unsorted)) % 0.39/0.57 (define @t137 () (@var "X82" $$unsorted)) % 0.39/0.57 (define @t138 () (@var "X76" $$unsorted)) % 0.39/0.57 (define @t139 () (@var "X74" $$unsorted)) % 0.39/0.57 (define @t140 () (@var "X77" $$unsorted)) % 0.39/0.57 (define @t141 () (@var "X75" $$unsorted)) % 0.39/0.57 (define @t142 () (@var "X70" $$unsorted)) % 0.39/0.57 (define @t143 () (@var "X68" $$unsorted)) % 0.39/0.57 (define @t144 () (@var "X69" $$unsorted)) % 0.39/0.57 (define @t145 () (@var "X67" $$unsorted)) % 0.39/0.57 (define @t146 () (@var "X60" $$unsorted)) % 0.39/0.57 (define @t147 () (@var "X58" $$unsorted)) % 0.39/0.57 (define @t148 () (@var "X59" $$unsorted)) % 0.39/0.57 (define @t149 () (@var "X57" $$unsorted)) % 0.39/0.57 (define @t150 () (@var "X52" $$unsorted)) % 0.39/0.57 (define @t151 () (@var "X50" $$unsorted)) % 0.39/0.57 (define @t152 () (@var "X53" $$unsorted)) % 0.39/0.57 (define @t153 () (@var "X51" $$unsorted)) % 0.39/0.57 (define @t154 () (@var "X40" $$unsorted)) % 0.39/0.57 (define @t155 () (@var "X38" $$unsorted)) % 0.39/0.57 (define @t156 () (@var "X39" $$unsorted)) % 0.39/0.57 (define @t157 () (@var "X37" $$unsorted)) % 0.39/0.57 (define @t158 () (@var "X29" $$unsorted)) % 0.39/0.57 (define @t159 () (@var "X27" $$unsorted)) % 0.39/0.57 (define @t160 () (@var "X30" $$unsorted)) % 0.39/0.57 (define @t161 () (@var "X28" $$unsorted)) % 0.39/0.57 (define @t162 () (@var "X19" $$unsorted)) % 0.39/0.57 (define @t163 () (@var "X17" $$unsorted)) % 0.39/0.57 (define @t164 () (@var "X20" $$unsorted)) % 0.39/0.57 (define @t165 () (@var "X18" $$unsorted)) % 0.39/0.57 (define @t166 () (@var "X13" $$unsorted)) % 0.39/0.57 (define @t167 () (@var "X11" $$unsorted)) % 0.39/0.57 (define @t168 () (@var "X12" $$unsorted)) % 0.39/0.57 (define @t169 () (@var "X10" $$unsorted)) % 0.39/0.57 (define @t170 () (@var "X137" $$unsorted)) % 0.39/0.57 (define @t171 () (@var "X136" $$unsorted)) % 0.39/0.57 (define @t172 () (tptp.p45 (tptp.f20 tptp.c52 @t171) @t170)) % 0.39/0.57 (define @t173 () (tptp.f5 tptp.c49 @t171)) % 0.39/0.57 (define @t174 () (@var "X142" $$unsorted)) % 0.39/0.57 (define @t175 () (@var "X132" $$unsorted)) % 0.39/0.57 (define @t176 () (@var "X134" $$unsorted)) % 0.39/0.57 (define @t177 () (@var "X135" $$unsorted)) % 0.39/0.57 (define @t178 () (tptp.f20 tptp.c52 @t175)) % 0.39/0.57 (define @t179 () (@var "X133" $$unsorted)) % 0.39/0.57 (define @t180 () (@var "X150" $$unsorted)) % 0.39/0.57 (define @t181 () (@var "X151" $$unsorted)) % 0.39/0.57 (define @t182 () (tptp.f17 tptp.c55 tptp.c61)) % 0.39/0.57 (define @t183 () (tptp.f35 tptp.c58 tptp.c61)) % 0.39/0.57 (define @t184 () (tptp.f8 (tptp.f11 tptp.c54 (tptp.f14 @t182 @t183)) tptp.c58)) % 0.39/0.57 (define @t185 () (tptp.p7 @t184 tptp.c58)) % 0.39/0.57 (define @t186 () (not @t185)) % 0.39/0.57 (define @t187 () (tptp.p36 @t30 @t30)) % 0.39/0.57 (define @t188 () (not @t187)) % 0.39/0.57 (define @t189 () (tptp.f38 @t30 @t184)) % 0.39/0.57 (define @t190 () (tptp.p37 @t189 @t31)) % 0.39/0.57 (define @t191 () (or @t190 @t188 @t186)) % 0.39/0.57 (define @t192 () (@list false false false)) % 0.39/0.57 (define @t193 () (not @t28)) % 0.39/0.57 (define @t194 () (tptp.p46 (tptp.f23 tptp.c53 @t183) @t29)) % 0.39/0.57 (define @t195 () (or @t194 @t193)) % 0.39/0.57 (define @t196 () (not @t194)) % 0.39/0.57 (define @t197 () (tptp.p48 @t189 tptp.c60)) % 0.39/0.57 (define @t198 () (or @t197 @t193 @t196)) % 0.39/0.57 (define @t199 () (not @t190)) % 0.39/0.57 (define @t200 () (not @t197)) % 0.39/0.57 (define @t201 () (tptp.p47 tptp.c60 tptp.c60)) % 0.39/0.57 (define @t202 () (not @t201)) % 0.39/0.57 (define @t203 () (or @t32 @t202 @t200 @t199)) % 0.39/0.57 (define @t204 () (not @t203)) % 0.39/0.57 (assume @p1 (forall (@list @t1) (tptp.p10 @t1 @t1))) % 0.39/0.57 (assume @p2 (forall (@list @t2) (tptp.p9 @t2 @t2))) % 0.39/0.57 (assume @p3 (forall (@list @t3) (tptp.p7 @t3 @t3))) % 0.39/0.57 (assume @p4 (forall (@list @t4) (tptp.p6 @t4 @t4))) % 0.39/0.57 (assume @p5 (forall (@list @t5) (tptp.p47 @t5 @t5))) % 0.39/0.57 (assume @p6 (forall (@list @t6) (tptp.p43 @t6 @t6))) % 0.39/0.57 (assume @p7 (forall (@list @t7) (tptp.p41 @t7 @t7))) % 0.39/0.57 (assume @p8 (forall (@list @t8) (tptp.p4 @t8 @t8))) % 0.39/0.57 (assume @p9 (forall (@list @t9) (tptp.p39 @t9 @t9))) % 0.39/0.57 (assume @p10 (forall (@list @t10) (tptp.p37 @t10 @t10))) % 0.39/0.57 (assume @p11 (forall (@list @t11) (tptp.p36 @t11 @t11))) % 0.39/0.57 (assume @p12 (forall (@list @t12) (tptp.p33 @t12 @t12))) % 0.39/0.57 (assume @p13 (forall (@list @t13) (tptp.p3 @t13 @t13))) % 0.39/0.57 (assume @p14 (forall (@list @t14) (tptp.p29 @t14 @t14))) % 0.39/0.57 (assume @p15 (forall (@list @t15) (tptp.p27 @t15 @t15))) % 0.39/0.57 (assume @p16 (forall (@list @t16) (tptp.p26 @t16 @t16))) % 0.39/0.57 (assume @p17 (forall (@list @t17) (tptp.p24 @t17 @t17))) % 0.39/0.57 (assume @p18 (forall (@list @t18) (tptp.p22 @t18 @t18))) % 0.39/0.57 (assume @p19 (forall (@list @t19) (tptp.p21 @t19 @t19))) % 0.39/0.57 (assume @p20 (forall (@list @t20) (tptp.p2 @t20 @t20))) % 0.39/0.57 (assume @p21 (forall (@list @t21) (tptp.p19 @t21 @t21))) % 0.39/0.57 (assume @p22 (forall (@list @t22) (tptp.p18 @t22 @t22))) % 0.39/0.57 (assume @p23 (forall (@list @t23) (tptp.p16 @t23 @t23))) % 0.39/0.57 (assume @p24 (forall (@list @t24) (tptp.p15 @t24 @t24))) % 0.39/0.57 (assume @p25 (forall (@list @t25) (tptp.p13 @t25 @t25))) % 0.39/0.57 (assume @p26 (forall (@list @t26) (tptp.p12 @t26 @t26))) % 0.39/0.57 (assume @p27 @t28) % 0.39/0.57 (assume @p28 (not (tptp.p4 @t29 tptp.c51))) % 0.39/0.57 (assume @p29 (not @t32)) % 0.39/0.57 (assume @p30 (forall (@list @t34 @t33 @t1) (or (tptp.p10 @t34 @t33) (not (tptp.p10 @t1 @t34)) (not (tptp.p10 @t1 @t33))))) % 0.39/0.57 (assume @p31 (forall (@list @t35 @t36 @t2) (or (tptp.p9 @t35 @t36) (not (tptp.p9 @t2 @t36)) (not (tptp.p9 @t2 @t35))))) % 0.39/0.57 (assume @p32 (forall (@list @t38 @t37 @t3) (or (tptp.p7 @t38 @t37) (not (tptp.p7 @t3 @t38)) (not (tptp.p7 @t3 @t37))))) % 0.39/0.57 (assume @p33 (forall (@list @t40 @t39 @t4) (or (tptp.p6 @t40 @t39) (not (tptp.p6 @t4 @t40)) (not (tptp.p6 @t4 @t39))))) % 0.39/0.57 (assume @p34 (forall (@list @t42 @t41 @t5) (or (tptp.p47 @t42 @t41) (not (tptp.p47 @t5 @t42)) (not (tptp.p47 @t5 @t41))))) % 0.39/0.57 (assume @p35 (forall (@list @t44 @t43 @t6) (or (tptp.p43 @t44 @t43) (not (tptp.p43 @t6 @t44)) (not (tptp.p43 @t6 @t43))))) % 0.39/0.57 (assume @p36 (forall (@list @t46 @t45 @t7) (or (tptp.p41 @t46 @t45) (not (tptp.p41 @t7 @t46)) (not (tptp.p41 @t7 @t45))))) % 0.39/0.57 (assume @p37 (forall (@list @t48 @t47 @t8) (or (tptp.p4 @t48 @t47) (not (tptp.p4 @t8 @t48)) (not (tptp.p4 @t8 @t47))))) % 0.39/0.57 (assume @p38 (forall (@list @t50 @t49 @t9) (or (tptp.p39 @t50 @t49) (not (tptp.p39 @t9 @t50)) (not (tptp.p39 @t9 @t49))))) % 0.39/0.57 (assume @p39 (forall (@list @t52 @t51 @t10) (or (tptp.p37 @t52 @t51) (not (tptp.p37 @t10 @t52)) (not (tptp.p37 @t10 @t51))))) % 0.39/0.57 (assume @p40 (forall (@list @t54 @t53 @t11) (or (tptp.p36 @t54 @t53) (not (tptp.p36 @t11 @t54)) (not (tptp.p36 @t11 @t53))))) % 0.39/0.57 (assume @p41 (forall (@list @t56 @t55 @t12) (or (tptp.p33 @t56 @t55) (not (tptp.p33 @t12 @t56)) (not (tptp.p33 @t12 @t55))))) % 0.39/0.57 (assume @p42 (forall (@list @t58 @t57 @t13) (or (tptp.p3 @t58 @t57) (not (tptp.p3 @t13 @t58)) (not (tptp.p3 @t13 @t57))))) % 0.39/0.57 (assume @p43 (forall (@list @t60 @t59 @t14) (or (tptp.p29 @t60 @t59) (not (tptp.p29 @t14 @t60)) (not (tptp.p29 @t14 @t59))))) % 0.39/0.57 (assume @p44 (forall (@list @t62 @t61 @t15) (or (tptp.p27 @t62 @t61) (not (tptp.p27 @t15 @t62)) (not (tptp.p27 @t15 @t61))))) % 0.39/0.57 (assume @p45 (forall (@list @t64 @t63 @t16) (or (tptp.p26 @t64 @t63) (not (tptp.p26 @t16 @t64)) (not (tptp.p26 @t16 @t63))))) % 0.39/0.57 (assume @p46 (forall (@list @t66 @t65 @t17) (or (tptp.p24 @t66 @t65) (not (tptp.p24 @t17 @t66)) (not (tptp.p24 @t17 @t65))))) % 0.39/0.57 (assume @p47 (forall (@list @t68 @t67 @t18) (or (tptp.p22 @t68 @t67) (not (tptp.p22 @t18 @t68)) (not (tptp.p22 @t18 @t67))))) % 0.39/0.57 (assume @p48 (forall (@list @t70 @t69 @t19) (or (tptp.p21 @t70 @t69) (not (tptp.p21 @t19 @t70)) (not (tptp.p21 @t19 @t69))))) % 0.39/0.57 (assume @p49 (forall (@list @t72 @t71 @t20) (or (tptp.p2 @t72 @t71) (not (tptp.p2 @t20 @t72)) (not (tptp.p2 @t20 @t71))))) % 0.39/0.57 (assume @p50 (forall (@list @t74 @t73 @t21) (or (tptp.p19 @t74 @t73) (not (tptp.p19 @t21 @t74)) (not (tptp.p19 @t21 @t73))))) % 0.39/0.57 (assume @p51 (forall (@list @t76 @t75 @t22) (or (tptp.p18 @t76 @t75) (not (tptp.p18 @t22 @t76)) (not (tptp.p18 @t22 @t75))))) % 0.39/0.57 (assume @p52 (forall (@list @t78 @t77 @t23) (or (tptp.p16 @t78 @t77) (not (tptp.p16 @t23 @t78)) (not (tptp.p16 @t23 @t77))))) % 0.39/0.57 (assume @p53 (forall (@list @t80 @t79 @t24) (or (tptp.p15 @t80 @t79) (not (tptp.p15 @t24 @t80)) (not (tptp.p15 @t24 @t79))))) % 0.39/0.57 (assume @p54 (forall (@list @t82 @t81 @t25) (or (tptp.p13 @t82 @t81) (not (tptp.p13 @t25 @t82)) (not (tptp.p13 @t25 @t81))))) % 0.39/0.57 (assume @p55 (forall (@list @t84 @t83 @t26) (or (tptp.p12 @t84 @t83) (not (tptp.p12 @t26 @t84)) (not (tptp.p12 @t26 @t83))))) % 0.39/0.57 (assume @p56 (forall (@list @t85 @t87 @t86 @t88) (or (tptp.p45 @t85 @t87) (not (tptp.p45 @t86 @t88)) (not (tptp.p7 @t88 @t87)) (not (tptp.p19 @t86 @t85))))) % 0.39/0.57 (assume @p57 @t93) % 0.39/0.57 (assume @p58 (forall (@list @t94 @t97 @t96 @t95) (or (tptp.p46 @t94 @t97) (not (tptp.p4 @t96 @t97)) (not (tptp.p46 @t95 @t96)) (not (tptp.p22 @t95 @t94))))) % 0.39/0.57 (assume @p59 (forall (@list @t99 @t98) (tptp.p7 (tptp.f8 (tptp.f11 tptp.c54 (tptp.f14 (tptp.f17 tptp.c55 @t99) (tptp.f35 @t98 @t99))) @t98) @t98))) % 0.39/0.57 (assume @p60 (forall (@list @t101 @t100) (tptp.p4 (tptp.f25 (tptp.f28 tptp.c56 (tptp.f31 (tptp.f34 tptp.c57 @t101) (tptp.f32 @t100 @t101))) @t100) @t100))) % 0.39/0.57 (assume @p61 (forall (@list @t105 @t103 @t104 @t102) (or (tptp.p10 (tptp.f14 @t105 @t103) (tptp.f14 @t104 @t102)) (not (tptp.p12 @t105 @t104)) (not (tptp.p13 @t103 @t102))))) % 0.39/0.57 (assume @p62 (forall (@list @t109 @t107 @t108 @t106) (or (tptp.p7 (tptp.f8 @t109 @t107) (tptp.f8 @t108 @t106)) (not (tptp.p6 @t109 @t108)) (not (tptp.p7 @t107 @t106))))) % 0.39/0.57 (assume @p63 (forall (@list @t111 @t113 @t110 @t112) (or (tptp.p6 (tptp.f11 @t111 @t113) (tptp.f11 @t110 @t112)) (not (tptp.p10 @t113 @t112)) (not (tptp.p9 @t111 @t110))))) % 0.39/0.57 (assume @p64 (forall (@list @t117 @t115 @t116 @t114) (or (tptp.p41 (tptp.f44 @t117 @t115) (tptp.f44 @t116 @t114)) (not (tptp.p43 @t117 @t116)) (not (tptp.p7 @t115 @t114))))) % 0.39/0.57 (assume @p65 (forall (@list @t121 @t119 @t120 @t118) (or (tptp.p4 (tptp.f5 @t121 @t119) (tptp.f5 @t120 @t118)) (not (tptp.p2 @t121 @t120)) (not (tptp.p3 @t119 @t118))))) % 0.39/0.57 (assume @p66 (forall (@list @t125 @t123 @t124 @t122) (or (tptp.p4 (tptp.f25 @t125 @t123) (tptp.f25 @t124 @t122)) (not (tptp.p24 @t125 @t124)) (not (tptp.p4 @t123 @t122))))) % 0.39/0.57 (assume @p67 (forall (@list @t129 @t127 @t128 @t126) (or (tptp.p37 (tptp.f38 @t129 @t127) (tptp.f38 @t128 @t126)) (not (tptp.p36 @t129 @t128)) (not (tptp.p7 @t127 @t126))))) % 0.39/0.57 (assume @p68 (forall (@list @t131 @t133 @t130 @t132) (or (tptp.p36 (tptp.f40 @t131 @t133) (tptp.f40 @t130 @t132)) (not (tptp.p3 @t133 @t132)) (not (tptp.p39 @t131 @t130))))) % 0.39/0.57 (assume @p69 (forall (@list @t135 @t137 @t134 @t136) (or (tptp.p30 (tptp.f32 @t135 @t137) (tptp.f32 @t134 @t136)) (not (tptp.p13 @t137 @t136)) (not (tptp.p4 @t135 @t134))))) % 0.39/0.57 (assume @p70 (forall (@list @t139 @t141 @t138 @t140) (or (tptp.p29 (tptp.f34 @t139 @t141) (tptp.f34 @t138 @t140)) (not (tptp.p13 @t141 @t140)) (not (tptp.p33 @t139 @t138))))) % 0.39/0.57 (assume @p71 (forall (@list @t145 @t143 @t144 @t142) (or (tptp.p27 (tptp.f31 @t145 @t143) (tptp.f31 @t144 @t142)) (not (tptp.p29 @t145 @t144)) (not (tptp.p30 @t143 @t142))))) % 0.39/0.57 (assume @p72 (forall (@list @t149 @t147 @t148 @t146) (or (tptp.p24 (tptp.f28 @t149 @t147) (tptp.f28 @t148 @t146)) (not (tptp.p26 @t149 @t148)) (not (tptp.p27 @t147 @t146))))) % 0.39/0.57 (assume @p73 (forall (@list @t151 @t153 @t150 @t152) (or (tptp.p22 (tptp.f23 @t151 @t153) (tptp.f23 @t150 @t152)) (not (tptp.p13 @t153 @t152)) (not (tptp.p21 @t151 @t150))))) % 0.39/0.57 (assume @p74 (forall (@list @t157 @t155 @t156 @t154) (or (tptp.p19 (tptp.f20 @t157 @t155) (tptp.f20 @t156 @t154)) (not (tptp.p18 @t157 @t156)) (not (tptp.p3 @t155 @t154))))) % 0.39/0.57 (assume @p75 (forall (@list @t159 @t161 @t158 @t160) (or (tptp.p16 (tptp.f42 @t159 @t161) (tptp.f42 @t158 @t160)) (not (tptp.p3 @t161 @t160)) (not (tptp.p41 @t159 @t158))))) % 0.39/0.57 (assume @p76 (forall (@list @t163 @t165 @t162 @t164) (or (tptp.p13 (tptp.f35 @t163 @t165) (tptp.f35 @t162 @t164)) (not (tptp.p16 @t165 @t164)) (not (tptp.p7 @t163 @t162))))) % 0.39/0.57 (assume @p77 (forall (@list @t169 @t167 @t168 @t166) (or (tptp.p12 (tptp.f17 @t169 @t167) (tptp.f17 @t168 @t166)) (not (tptp.p15 @t169 @t168)) (not (tptp.p16 @t167 @t166))))) % 0.39/0.57 (assume @p78 (forall (@list @t170 @t174 @t171) (or (tptp.p46 (tptp.f23 tptp.c53 (tptp.f35 @t170 @t174)) @t173) (not @t172)))) % 0.39/0.57 (assume @p79 (forall (@list @t171 @t170) (or @t172 (not (tptp.p46 (tptp.f23 tptp.c53 (tptp.f35 @t170 (tptp.f42 (tptp.f44 tptp.c62 @t170) @t171))) @t173))))) % 0.39/0.57 (assume @p80 (forall (@list @t175 @t179 @t176 @t177) (or (tptp.p45 @t178 (tptp.f8 (tptp.f11 tptp.c54 (tptp.f14 (tptp.f17 tptp.c55 @t179) @t176)) @t177)) (not (tptp.p45 @t178 @t177)) (not (tptp.p46 (tptp.f23 tptp.c53 @t176) (tptp.f5 tptp.c49 @t175)))))) % 0.39/0.57 (assume @p81 (forall (@list @t180 @t181) (or (tptp.p48 (tptp.f38 @t30 (tptp.f8 (tptp.f11 tptp.c54 (tptp.f14 @t182 @t180)) @t181)) tptp.c60) (not (tptp.p45 @t27 @t181)) (not (tptp.p46 (tptp.f23 tptp.c53 @t180) @t29))))) % 0.39/0.57 (step @p82 :rule instantiate :premises (@p67) :args ((@list @t30 @t184 @t30 tptp.c58))) % 0.39/0.57 (step @p83 :rule instantiate :premises (@p59) :args ((@list tptp.c61 tptp.c58))) % 0.39/0.57 (step @p84 :rule instantiate :premises (@p11) :args ((@list @t30))) % 0.39/0.57 (step @p85 :rule cnf_or_pos :args (@t191)) % 0.39/0.57 (step @p86 :rule reordering :premises (@p85) :args ((or @t188 @t186 @t190 (not @t191)))) % 0.39/0.57 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p83 @p82) :args (@t190 @t192 (@list @t187 @t185 @t191))) % 0.39/0.57 (step @p88 :rule instantiate :premises (@p81) :args ((@list @t183 tptp.c58))) % 0.39/0.57 (step @p89 :rule instantiate :premises (@p78) :args ((@list tptp.c58 tptp.c61 tptp.c50))) % 0.39/0.57 (step @p90 :rule cnf_or_pos :args (@t195)) % 0.39/0.57 (step @p91 :rule reordering :premises (@p90) :args ((or @t193 @t194 (not @t195)))) % 0.39/0.57 (step @p92 :rule chain_m_resolution :premises (@p91 @p27 @p89) :args (@t194 (@list false false) (@list @t28 @t195))) % 0.39/0.57 (step @p93 :rule cnf_or_pos :args (@t198)) % 0.39/0.57 (step @p94 :rule reordering :premises (@p93) :args ((or @t193 @t196 @t197 (not @t198)))) % 0.39/0.57 (step @p95 :rule chain_m_resolution :premises (@p94 @p27 @p92 @p88) :args (@t197 @t192 (@list @t28 @t194 @t198))) % 0.39/0.57 (step @p96 :rule instantiate :premises (@p5) :args ((@list tptp.c60))) % 0.39/0.57 (step @p97 :rule cnf_or_pos :args (@t203)) % 0.39/0.57 (step @p98 :rule reordering :premises (@p97) :args ((or @t32 @t202 @t200 @t199 @t204))) % 0.39/0.57 (step @p99 :rule chain_m_resolution :premises (@p98 @p29 @p96 @p95 @p87) :args (@t204 (@list true false false false) (@list @t32 @t201 @t197 @t190))) % 0.39/0.57 (assume-push @p106 @t93) % 0.39/0.57 (step @p101 :rule instantiate :premises (@p57) :args ((@list @t31 tptp.c60 tptp.c60 @t189))) % 0.39/0.57 (step-pop @p107 :rule scope :premises (@p101)) % 0.39/0.57 (step @p102 :rule process_scope :premises (@p107) :args (@t203)) % 0.39/0.57 (step @p104 :rule implies_elim :premises (@p102)) % 0.39/0.57 (step @p105 false :rule chain_m_resolution :premises (@p104 @p99 @p57) :args (false (@list true false) (@list @t203 @t93))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------