%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN703-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 09:09:40 AM UTC 2026 % Result : Unsatisfiable 0.25s 0.48s % Output : Proof 0.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYN703-1 : TPTP v9.2.1. Released v2.5.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.25 % Computer : n024.cluster.edu % 0.09/0.25 % Model : x86_64 x86_64 % 0.09/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.25 % Memory : 8042.1875MB % 0.09/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.25 % CPULimit : 300 % 0.09/0.25 % WCLimit : 300 % 0.09/0.25 % DateTime : Tue Jun 2 18:33:45 EDT 2026 % 0.09/0.25 % CPUTime : % 0.17/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.17/0.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.25/0.48 % SZS status Unsatisfiable % 0.25/0.48 % SZS output start Proof % 0.25/0.49 ( % 0.25/0.49 (declare-sort $$unsorted 0) % 0.25/0.49 (declare-const tptp.c54 $$unsorted) % 0.25/0.49 (declare-const tptp.c55 $$unsorted) % 0.25/0.49 (declare-const tptp.f18 (-> $$unsorted $$unsorted $$unsorted)) % 0.25/0.49 (declare-const tptp.f28 (-> $$unsorted $$unsorted $$unsorted)) % 0.25/0.49 (declare-const tptp.f34 (-> $$unsorted $$unsorted $$unsorted)) % 0.25/0.49 (declare-const tptp.f16 (-> $$unsorted $$unsorted $$unsorted)) % 0.25/0.49 (declare-const tptp.f38 (-> $$unsorted $$unsorted $$unsorted)) % 0.25/0.49 (declare-const tptp.f42 (-> $$unsorted $$unsorted $$unsorted)) % 0.25/0.49 (declare-const tptp.f20 (-> $$unsorted $$unsorted $$unsorted)) % 0.25/0.49 (declare-const tptp.f22 (-> $$unsorted $$unsorted $$unsorted)) % 0.25/0.49 (declare-const tptp.p47 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 0.25/0.49 (declare-const tptp.f11 (-> $$unsorted $$unsorted $$unsorted)) % 0.25/0.49 (declare-const tptp.c49 $$unsorted) % 0.25/0.49 (declare-const tptp.p29 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.p27 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.c58 $$unsorted) % 0.25/0.49 (declare-const tptp.p25 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.p23 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.f40 (-> $$unsorted $$unsorted $$unsorted)) % 0.25/0.49 (declare-const tptp.f26 (-> $$unsorted $$unsorted $$unsorted)) % 0.25/0.49 (declare-const tptp.p21 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.c57 $$unsorted) % 0.25/0.49 (declare-const tptp.f32 (-> $$unsorted $$unsorted $$unsorted)) % 0.25/0.49 (declare-const tptp.f36 (-> $$unsorted $$unsorted $$unsorted)) % 0.25/0.49 (declare-const tptp.c56 $$unsorted) % 0.25/0.49 (declare-const tptp.p9 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.f5 (-> $$unsorted $$unsorted $$unsorted)) % 0.25/0.49 (declare-const tptp.p19 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.f44 (-> $$unsorted $$unsorted $$unsorted)) % 0.25/0.49 (declare-const tptp.f13 (-> $$unsorted $$unsorted $$unsorted)) % 0.25/0.49 (declare-const tptp.p17 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.p15 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.p14 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.f46 (-> $$unsorted $$unsorted $$unsorted)) % 0.25/0.49 (declare-const tptp.p12 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.p10 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.c52 $$unsorted) % 0.25/0.49 (declare-const tptp.p3 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.f30 (-> $$unsorted $$unsorted $$unsorted)) % 0.25/0.49 (declare-const tptp.p31 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.p33 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.c48 $$unsorted) % 0.25/0.49 (declare-const tptp.p35 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.p37 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.c51 $$unsorted) % 0.25/0.49 (declare-const tptp.p4 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.p39 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.c53 $$unsorted) % 0.25/0.49 (declare-const tptp.f24 (-> $$unsorted $$unsorted $$unsorted)) % 0.25/0.49 (declare-const tptp.p41 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.p43 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.p45 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.p6 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.p7 (-> $$unsorted $$unsorted Bool)) % 0.25/0.49 (declare-const tptp.c50 $$unsorted) % 0.25/0.49 (define @t1 () (@var "X161" $$unsorted)) % 0.25/0.49 (define @t2 () (@var "X2" $$unsorted)) % 0.25/0.49 (define @t3 () (@var "X7" $$unsorted)) % 0.25/0.49 (define @t4 () (@var "X10" $$unsorted)) % 0.25/0.49 (define @t5 () (@var "X17" $$unsorted)) % 0.25/0.49 (define @t6 () (@var "X20" $$unsorted)) % 0.25/0.49 (define @t7 () (@var "X23" $$unsorted)) % 0.25/0.49 (define @t8 () (@var "X30" $$unsorted)) % 0.25/0.49 (define @t9 () (@var "X33" $$unsorted)) % 0.25/0.49 (define @t10 () (@var "X40" $$unsorted)) % 0.25/0.49 (define @t11 () (@var "X47" $$unsorted)) % 0.25/0.49 (define @t12 () (@var "X50" $$unsorted)) % 0.25/0.49 (define @t13 () (@var "X62" $$unsorted)) % 0.25/0.49 (define @t14 () (@var "X69" $$unsorted)) % 0.25/0.49 (define @t15 () (@var "X80" $$unsorted)) % 0.25/0.49 (define @t16 () (@var "X87" $$unsorted)) % 0.25/0.49 (define @t17 () (@var "X94" $$unsorted)) % 0.25/0.49 (define @t18 () (@var "X97" $$unsorted)) % 0.25/0.49 (define @t19 () (@var "X104" $$unsorted)) % 0.25/0.49 (define @t20 () (@var "X111" $$unsorted)) % 0.25/0.49 (define @t21 () (@var "X122" $$unsorted)) % 0.25/0.49 (define @t22 () (@var "X129" $$unsorted)) % 0.25/0.49 (define @t23 () (@var "X136" $$unsorted)) % 0.25/0.49 (define @t24 () (@var "X147" $$unsorted)) % 0.25/0.49 (define @t25 () (@var "X154" $$unsorted)) % 0.25/0.49 (define @t26 () (@var "X1" $$unsorted)) % 0.25/0.49 (define @t27 () (@var "X0" $$unsorted)) % 0.25/0.49 (define @t28 () (@var "X163" $$unsorted)) % 0.25/0.49 (define @t29 () (@var "X162" $$unsorted)) % 0.25/0.49 (define @t30 () (@var "X156" $$unsorted)) % 0.25/0.49 (define @t31 () (@var "X155" $$unsorted)) % 0.25/0.49 (define @t32 () (@var "X149" $$unsorted)) % 0.25/0.49 (define @t33 () (@var "X148" $$unsorted)) % 0.25/0.49 (define @t34 () (@var "X138" $$unsorted)) % 0.25/0.49 (define @t35 () (@var "X137" $$unsorted)) % 0.25/0.49 (define @t36 () (@var "X131" $$unsorted)) % 0.25/0.49 (define @t37 () (@var "X130" $$unsorted)) % 0.25/0.49 (define @t38 () (@var "X124" $$unsorted)) % 0.25/0.49 (define @t39 () (@var "X123" $$unsorted)) % 0.25/0.49 (define @t40 () (@var "X113" $$unsorted)) % 0.25/0.49 (define @t41 () (@var "X112" $$unsorted)) % 0.25/0.49 (define @t42 () (@var "X106" $$unsorted)) % 0.25/0.49 (define @t43 () (@var "X105" $$unsorted)) % 0.25/0.49 (define @t44 () (@var "X99" $$unsorted)) % 0.25/0.49 (define @t45 () (@var "X98" $$unsorted)) % 0.25/0.49 (define @t46 () (@var "X96" $$unsorted)) % 0.25/0.49 (define @t47 () (@var "X95" $$unsorted)) % 0.25/0.49 (define @t48 () (@var "X89" $$unsorted)) % 0.25/0.49 (define @t49 () (@var "X88" $$unsorted)) % 0.25/0.49 (define @t50 () (@var "X82" $$unsorted)) % 0.25/0.49 (define @t51 () (@var "X81" $$unsorted)) % 0.25/0.49 (define @t52 () (@var "X71" $$unsorted)) % 0.25/0.49 (define @t53 () (@var "X70" $$unsorted)) % 0.25/0.49 (define @t54 () (@var "X64" $$unsorted)) % 0.25/0.49 (define @t55 () (@var "X63" $$unsorted)) % 0.25/0.49 (define @t56 () (@var "X52" $$unsorted)) % 0.25/0.49 (define @t57 () (@var "X51" $$unsorted)) % 0.25/0.49 (define @t58 () (@var "X49" $$unsorted)) % 0.25/0.49 (define @t59 () (@var "X48" $$unsorted)) % 0.25/0.49 (define @t60 () (@var "X42" $$unsorted)) % 0.25/0.49 (define @t61 () (@var "X41" $$unsorted)) % 0.25/0.49 (define @t62 () (@var "X35" $$unsorted)) % 0.25/0.49 (define @t63 () (@var "X34" $$unsorted)) % 0.25/0.49 (define @t64 () (@var "X32" $$unsorted)) % 0.25/0.49 (define @t65 () (@var "X31" $$unsorted)) % 0.25/0.49 (define @t66 () (@var "X25" $$unsorted)) % 0.25/0.49 (define @t67 () (@var "X24" $$unsorted)) % 0.25/0.49 (define @t68 () (@var "X22" $$unsorted)) % 0.25/0.49 (define @t69 () (@var "X21" $$unsorted)) % 0.25/0.49 (define @t70 () (@var "X19" $$unsorted)) % 0.25/0.49 (define @t71 () (@var "X18" $$unsorted)) % 0.25/0.49 (define @t72 () (@var "X12" $$unsorted)) % 0.25/0.49 (define @t73 () (@var "X11" $$unsorted)) % 0.25/0.49 (define @t74 () (@var "X9" $$unsorted)) % 0.25/0.49 (define @t75 () (@var "X8" $$unsorted)) % 0.25/0.49 (define @t76 () (tptp.f8 (tptp.f11 (tptp.f13 tptp.c49 tptp.c50) tptp.c51) tptp.c52)) % 0.25/0.49 (define @t77 () (tptp.p47 (tptp.f5 tptp.c48 @t76) tptp.c53)) % 0.25/0.49 (define @t78 () (@var "X60" $$unsorted)) % 0.25/0.49 (define @t79 () (@var "X59" $$unsorted)) % 0.25/0.49 (define @t80 () (@var "X58" $$unsorted)) % 0.25/0.49 (define @t81 () (@var "X57" $$unsorted)) % 0.25/0.49 (define @t82 () (tptp.f20 (tptp.f22 (tptp.f24 (tptp.f26 tptp.c56 @t81) @t80) @t79) @t78)) % 0.25/0.49 (define @t83 () (@list @t81 @t80 @t79 @t78)) % 0.25/0.49 (define @t84 () (@var "X144" $$unsorted)) % 0.25/0.49 (define @t85 () (@var "X145" $$unsorted)) % 0.25/0.49 (define @t86 () (@var "X146" $$unsorted)) % 0.25/0.49 (define @t87 () (@var "X143" $$unsorted)) % 0.25/0.49 (define @t88 () (@var "X5" $$unsorted)) % 0.25/0.49 (define @t89 () (@var "X3" $$unsorted)) % 0.25/0.49 (define @t90 () (@var "X6" $$unsorted)) % 0.25/0.49 (define @t91 () (@var "X4" $$unsorted)) % 0.25/0.49 (define @t92 () (@var "X167" $$unsorted)) % 0.25/0.49 (define @t93 () (@var "X165" $$unsorted)) % 0.25/0.49 (define @t94 () (@var "X166" $$unsorted)) % 0.25/0.49 (define @t95 () (@var "X164" $$unsorted)) % 0.25/0.49 (define @t96 () (@var "X159" $$unsorted)) % 0.25/0.49 (define @t97 () (@var "X157" $$unsorted)) % 0.25/0.49 (define @t98 () (@var "X160" $$unsorted)) % 0.25/0.49 (define @t99 () (@var "X158" $$unsorted)) % 0.25/0.49 (define @t100 () (@var "X152" $$unsorted)) % 0.25/0.49 (define @t101 () (@var "X150" $$unsorted)) % 0.25/0.49 (define @t102 () (@var "X153" $$unsorted)) % 0.25/0.49 (define @t103 () (@var "X151" $$unsorted)) % 0.25/0.49 (define @t104 () (@var "X134" $$unsorted)) % 0.25/0.49 (define @t105 () (@var "X132" $$unsorted)) % 0.25/0.49 (define @t106 () (@var "X135" $$unsorted)) % 0.25/0.49 (define @t107 () (@var "X133" $$unsorted)) % 0.25/0.49 (define @t108 () (@var "X127" $$unsorted)) % 0.25/0.49 (define @t109 () (@var "X125" $$unsorted)) % 0.25/0.49 (define @t110 () (@var "X128" $$unsorted)) % 0.25/0.49 (define @t111 () (@var "X126" $$unsorted)) % 0.25/0.49 (define @t112 () (@var "X121" $$unsorted)) % 0.25/0.49 (define @t113 () (@var "X119" $$unsorted)) % 0.25/0.49 (define @t114 () (@var "X120" $$unsorted)) % 0.25/0.49 (define @t115 () (@var "X118" $$unsorted)) % 0.25/0.49 (define @t116 () (@var "X116" $$unsorted)) % 0.25/0.49 (define @t117 () (@var "X114" $$unsorted)) % 0.25/0.49 (define @t118 () (@var "X117" $$unsorted)) % 0.25/0.49 (define @t119 () (@var "X115" $$unsorted)) % 0.25/0.49 (define @t120 () (@var "X110" $$unsorted)) % 0.25/0.49 (define @t121 () (@var "X108" $$unsorted)) % 0.25/0.49 (define @t122 () (@var "X109" $$unsorted)) % 0.25/0.49 (define @t123 () (@var "X107" $$unsorted)) % 0.25/0.49 (define @t124 () (@var "X102" $$unsorted)) % 0.25/0.49 (define @t125 () (@var "X100" $$unsorted)) % 0.25/0.49 (define @t126 () (@var "X103" $$unsorted)) % 0.25/0.49 (define @t127 () (@var "X101" $$unsorted)) % 0.25/0.49 (define @t128 () (@var "X93" $$unsorted)) % 0.25/0.49 (define @t129 () (@var "X91" $$unsorted)) % 0.25/0.49 (define @t130 () (@var "X92" $$unsorted)) % 0.25/0.49 (define @t131 () (@var "X90" $$unsorted)) % 0.25/0.49 (define @t132 () (@var "X85" $$unsorted)) % 0.25/0.49 (define @t133 () (@var "X83" $$unsorted)) % 0.25/0.49 (define @t134 () (@var "X86" $$unsorted)) % 0.25/0.49 (define @t135 () (@var "X84" $$unsorted)) % 0.25/0.49 (define @t136 () (@var "X79" $$unsorted)) % 0.25/0.49 (define @t137 () (@var "X77" $$unsorted)) % 0.25/0.49 (define @t138 () (@var "X78" $$unsorted)) % 0.25/0.49 (define @t139 () (@var "X76" $$unsorted)) % 0.25/0.49 (define @t140 () (@var "X75" $$unsorted)) % 0.25/0.49 (define @t141 () (@var "X73" $$unsorted)) % 0.25/0.49 (define @t142 () (@var "X74" $$unsorted)) % 0.25/0.49 (define @t143 () (@var "X72" $$unsorted)) % 0.25/0.49 (define @t144 () (@var "X68" $$unsorted)) % 0.25/0.49 (define @t145 () (@var "X66" $$unsorted)) % 0.25/0.49 (define @t146 () (@var "X67" $$unsorted)) % 0.25/0.49 (define @t147 () (@var "X65" $$unsorted)) % 0.25/0.49 (define @t148 () (@var "X56" $$unsorted)) % 0.25/0.49 (define @t149 () (@var "X54" $$unsorted)) % 0.25/0.49 (define @t150 () (@var "X55" $$unsorted)) % 0.25/0.49 (define @t151 () (@var "X53" $$unsorted)) % 0.25/0.49 (define @t152 () (@var "X46" $$unsorted)) % 0.25/0.49 (define @t153 () (@var "X44" $$unsorted)) % 0.25/0.49 (define @t154 () (@var "X45" $$unsorted)) % 0.25/0.49 (define @t155 () (@var "X43" $$unsorted)) % 0.25/0.49 (define @t156 () (@var "X38" $$unsorted)) % 0.25/0.49 (define @t157 () (@var "X36" $$unsorted)) % 0.25/0.49 (define @t158 () (@var "X39" $$unsorted)) % 0.25/0.49 (define @t159 () (@var "X37" $$unsorted)) % 0.25/0.49 (define @t160 () (@var "X29" $$unsorted)) % 0.25/0.49 (define @t161 () (@var "X27" $$unsorted)) % 0.25/0.49 (define @t162 () (@var "X28" $$unsorted)) % 0.25/0.49 (define @t163 () (@var "X26" $$unsorted)) % 0.25/0.49 (define @t164 () (@var "X16" $$unsorted)) % 0.25/0.49 (define @t165 () (@var "X14" $$unsorted)) % 0.25/0.49 (define @t166 () (@var "X15" $$unsorted)) % 0.25/0.49 (define @t167 () (@var "X13" $$unsorted)) % 0.25/0.49 (define @t168 () (@var "X140" $$unsorted)) % 0.25/0.49 (define @t169 () (@var "X142" $$unsorted)) % 0.25/0.49 (define @t170 () (@var "X141" $$unsorted)) % 0.25/0.49 (define @t171 () (@var "X139" $$unsorted)) % 0.25/0.49 (define @t172 () (tptp.p47 (tptp.f5 tptp.c48 (tptp.f8 (tptp.f11 (tptp.f13 tptp.c49 @t171) @t170) @t169)) @t168)) % 0.25/0.49 (define @t173 () (tptp.p47 @t171 @t168)) % 0.25/0.49 (define @t174 () (@var "X61" $$unsorted)) % 0.25/0.49 (define @t175 () (not (tptp.p47 @t82 @t174))) % 0.25/0.49 (define @t176 () (forall (@list @t81 @t174 @t80 @t79 @t78) (or (tptp.p47 @t81 @t174) @t175))) % 0.25/0.49 (define @t177 () (tptp.f16 (tptp.f18 tptp.c54 @t76) tptp.c55)) % 0.25/0.49 (define @t178 () (tptp.f5 tptp.c48 @t177)) % 0.25/0.49 (define @t179 () (tptp.p47 @t178 tptp.c53)) % 0.25/0.49 (define @t180 () (tptp.f30 (tptp.f32 (tptp.f34 (tptp.f36 tptp.c57 @t81) @t80) @t79) @t78)) % 0.25/0.49 (define @t181 () (@list @t81 @t80 @t79 @t78 @t174)) % 0.25/0.49 (define @t182 () (tptp.f40 (tptp.f42 (tptp.f44 (tptp.f46 tptp.c58 @t81) @t80) @t79) @t78)) % 0.25/0.49 (define @t183 () (tptp.f40 (tptp.f42 (tptp.f44 (tptp.f46 tptp.c58 tptp.c50) tptp.c51) tptp.c52) tptp.c55)) % 0.25/0.49 (define @t184 () (tptp.f30 (tptp.f32 (tptp.f34 (tptp.f36 tptp.c57 tptp.c50) tptp.c51) tptp.c52) tptp.c55)) % 0.25/0.49 (define @t185 () (tptp.f20 (tptp.f22 (tptp.f24 (tptp.f26 tptp.c56 tptp.c50) tptp.c51) tptp.c52) tptp.c55)) % 0.25/0.49 (define @t186 () (tptp.f8 (tptp.f11 (tptp.f13 tptp.c49 @t185) @t184) @t183)) % 0.25/0.49 (define @t187 () (tptp.f5 tptp.c48 @t186)) % 0.25/0.49 (define @t188 () (tptp.p3 @t177 @t186)) % 0.25/0.49 (define @t189 () (not @t188)) % 0.25/0.49 (define @t190 () (tptp.p2 tptp.c48 tptp.c48)) % 0.25/0.49 (define @t191 () (not @t190)) % 0.25/0.49 (define @t192 () (tptp.p4 @t178 @t187)) % 0.25/0.49 (define @t193 () (or @t192 @t191 @t189)) % 0.25/0.49 (define @t194 () (tptp.p15 tptp.c53 tptp.c53)) % 0.25/0.49 (define @t195 () (not @t194)) % 0.25/0.49 (define @t196 () (not @t179)) % 0.25/0.49 (define @t197 () (not @t192)) % 0.25/0.49 (define @t198 () (tptp.p47 @t187 tptp.c53)) % 0.25/0.49 (define @t199 () (or @t198 @t197 @t196 @t195)) % 0.25/0.49 (define @t200 () (not @t198)) % 0.25/0.49 (define @t201 () (tptp.p47 @t185 tptp.c53)) % 0.25/0.49 (define @t202 () (or @t201 @t200)) % 0.25/0.49 (define @t203 () (tptp.p47 tptp.c50 tptp.c53)) % 0.25/0.49 (define @t204 () (not @t203)) % 0.25/0.49 (define @t205 () (or @t77 @t204)) % 0.25/0.49 (define @t206 () (@list true false)) % 0.25/0.49 (define @t207 () (not @t201)) % 0.25/0.49 (define @t208 () (or @t203 @t207)) % 0.25/0.49 (define @t209 () (not @t208)) % 0.25/0.49 (assume @p1 (forall (@list @t1) (tptp.p9 @t1 @t1))) % 0.25/0.49 (assume @p2 (forall (@list @t2) (tptp.p10 @t2 @t2))) % 0.25/0.49 (assume @p3 (forall (@list @t3) (tptp.p12 @t3 @t3))) % 0.25/0.49 (assume @p4 (forall (@list @t4) (tptp.p14 @t4 @t4))) % 0.25/0.49 (assume @p5 (forall (@list @t5) (tptp.p15 @t5 @t5))) % 0.25/0.49 (assume @p6 (forall (@list @t6) (tptp.p17 @t6 @t6))) % 0.25/0.49 (assume @p7 (forall (@list @t7) (tptp.p19 @t7 @t7))) % 0.25/0.49 (assume @p8 (forall (@list @t8) (tptp.p2 @t8 @t8))) % 0.25/0.49 (assume @p9 (forall (@list @t9) (tptp.p21 @t9 @t9))) % 0.25/0.49 (assume @p10 (forall (@list @t10) (tptp.p23 @t10 @t10))) % 0.25/0.49 (assume @p11 (forall (@list @t11) (tptp.p25 @t11 @t11))) % 0.25/0.49 (assume @p12 (forall (@list @t12) (tptp.p27 @t12 @t12))) % 0.25/0.49 (assume @p13 (forall (@list @t13) (tptp.p29 @t13 @t13))) % 0.25/0.49 (assume @p14 (forall (@list @t14) (tptp.p3 @t14 @t14))) % 0.25/0.49 (assume @p15 (forall (@list @t15) (tptp.p31 @t15 @t15))) % 0.25/0.49 (assume @p16 (forall (@list @t16) (tptp.p33 @t16 @t16))) % 0.25/0.49 (assume @p17 (forall (@list @t17) (tptp.p35 @t17 @t17))) % 0.25/0.49 (assume @p18 (forall (@list @t18) (tptp.p37 @t18 @t18))) % 0.25/0.49 (assume @p19 (forall (@list @t19) (tptp.p39 @t19 @t19))) % 0.25/0.49 (assume @p20 (forall (@list @t20) (tptp.p4 @t20 @t20))) % 0.25/0.49 (assume @p21 (forall (@list @t21) (tptp.p41 @t21 @t21))) % 0.25/0.49 (assume @p22 (forall (@list @t22) (tptp.p43 @t22 @t22))) % 0.25/0.49 (assume @p23 (forall (@list @t23) (tptp.p45 @t23 @t23))) % 0.25/0.49 (assume @p24 (forall (@list @t24) (tptp.p6 @t24 @t24))) % 0.25/0.49 (assume @p25 (forall (@list @t25) (tptp.p7 @t25 @t25))) % 0.25/0.49 (assume @p26 (forall (@list @t27 @t26 @t2) (or (tptp.p10 @t27 @t26) (not (tptp.p10 @t2 @t27)) (not (tptp.p10 @t2 @t26))))) % 0.25/0.49 (assume @p27 (forall (@list @t29 @t28 @t1) (or (tptp.p9 @t29 @t28) (not (tptp.p9 @t1 @t29)) (not (tptp.p9 @t1 @t28))))) % 0.25/0.49 (assume @p28 (forall (@list @t31 @t30 @t25) (or (tptp.p7 @t31 @t30) (not (tptp.p7 @t25 @t31)) (not (tptp.p7 @t25 @t30))))) % 0.25/0.49 (assume @p29 (forall (@list @t33 @t32 @t24) (or (tptp.p6 @t33 @t32) (not (tptp.p6 @t24 @t33)) (not (tptp.p6 @t24 @t32))))) % 0.25/0.49 (assume @p30 (forall (@list @t35 @t34 @t23) (or (tptp.p45 @t35 @t34) (not (tptp.p45 @t23 @t35)) (not (tptp.p45 @t23 @t34))))) % 0.25/0.49 (assume @p31 (forall (@list @t37 @t36 @t22) (or (tptp.p43 @t37 @t36) (not (tptp.p43 @t22 @t37)) (not (tptp.p43 @t22 @t36))))) % 0.25/0.49 (assume @p32 (forall (@list @t39 @t38 @t21) (or (tptp.p41 @t39 @t38) (not (tptp.p41 @t21 @t39)) (not (tptp.p41 @t21 @t38))))) % 0.25/0.49 (assume @p33 (forall (@list @t41 @t40 @t20) (or (tptp.p4 @t41 @t40) (not (tptp.p4 @t20 @t41)) (not (tptp.p4 @t20 @t40))))) % 0.25/0.49 (assume @p34 (forall (@list @t43 @t42 @t19) (or (tptp.p39 @t43 @t42) (not (tptp.p39 @t19 @t43)) (not (tptp.p39 @t19 @t42))))) % 0.25/0.49 (assume @p35 (forall (@list @t45 @t44 @t18) (or (tptp.p37 @t45 @t44) (not (tptp.p37 @t18 @t45)) (not (tptp.p37 @t18 @t44))))) % 0.25/0.49 (assume @p36 (forall (@list @t47 @t46 @t17) (or (tptp.p35 @t47 @t46) (not (tptp.p35 @t17 @t47)) (not (tptp.p35 @t17 @t46))))) % 0.25/0.49 (assume @p37 (forall (@list @t49 @t48 @t16) (or (tptp.p33 @t49 @t48) (not (tptp.p33 @t16 @t49)) (not (tptp.p33 @t16 @t48))))) % 0.25/0.49 (assume @p38 (forall (@list @t51 @t50 @t15) (or (tptp.p31 @t51 @t50) (not (tptp.p31 @t15 @t51)) (not (tptp.p31 @t15 @t50))))) % 0.25/0.49 (assume @p39 (forall (@list @t53 @t52 @t14) (or (tptp.p3 @t53 @t52) (not (tptp.p3 @t14 @t53)) (not (tptp.p3 @t14 @t52))))) % 0.25/0.49 (assume @p40 (forall (@list @t55 @t54 @t13) (or (tptp.p29 @t55 @t54) (not (tptp.p29 @t13 @t55)) (not (tptp.p29 @t13 @t54))))) % 0.25/0.49 (assume @p41 (forall (@list @t57 @t56 @t12) (or (tptp.p27 @t57 @t56) (not (tptp.p27 @t12 @t57)) (not (tptp.p27 @t12 @t56))))) % 0.25/0.49 (assume @p42 (forall (@list @t59 @t58 @t11) (or (tptp.p25 @t59 @t58) (not (tptp.p25 @t11 @t59)) (not (tptp.p25 @t11 @t58))))) % 0.25/0.49 (assume @p43 (forall (@list @t61 @t60 @t10) (or (tptp.p23 @t61 @t60) (not (tptp.p23 @t10 @t61)) (not (tptp.p23 @t10 @t60))))) % 0.25/0.49 (assume @p44 (forall (@list @t63 @t62 @t9) (or (tptp.p21 @t63 @t62) (not (tptp.p21 @t9 @t63)) (not (tptp.p21 @t9 @t62))))) % 0.25/0.49 (assume @p45 (forall (@list @t65 @t64 @t8) (or (tptp.p2 @t65 @t64) (not (tptp.p2 @t8 @t65)) (not (tptp.p2 @t8 @t64))))) % 0.25/0.49 (assume @p46 (forall (@list @t67 @t66 @t7) (or (tptp.p19 @t67 @t66) (not (tptp.p19 @t7 @t67)) (not (tptp.p19 @t7 @t66))))) % 0.25/0.49 (assume @p47 (forall (@list @t69 @t68 @t6) (or (tptp.p17 @t69 @t68) (not (tptp.p17 @t6 @t69)) (not (tptp.p17 @t6 @t68))))) % 0.25/0.49 (assume @p48 (forall (@list @t71 @t70 @t5) (or (tptp.p15 @t71 @t70) (not (tptp.p15 @t5 @t71)) (not (tptp.p15 @t5 @t70))))) % 0.25/0.49 (assume @p49 (forall (@list @t73 @t72 @t4) (or (tptp.p14 @t73 @t72) (not (tptp.p14 @t4 @t73)) (not (tptp.p14 @t4 @t72))))) % 0.25/0.49 (assume @p50 (forall (@list @t75 @t74 @t3) (or (tptp.p12 @t75 @t74) (not (tptp.p12 @t3 @t75)) (not (tptp.p12 @t3 @t74))))) % 0.25/0.49 (assume @p51 (not @t77)) % 0.25/0.49 (assume @p52 (forall @t83 (not (tptp.p47 @t82 @t78)))) % 0.25/0.49 (assume @p53 (forall (@list @t87 @t84 @t86 @t85) (or (tptp.p47 @t87 @t84) (not (tptp.p4 @t86 @t87)) (not (tptp.p47 @t86 @t85)) (not (tptp.p15 @t85 @t84))))) % 0.25/0.49 (assume @p54 (forall (@list @t89 @t91 @t88 @t90) (or (tptp.p10 (tptp.f30 @t89 @t91) (tptp.f30 @t88 @t90)) (not (tptp.p15 @t91 @t90)) (not (tptp.p29 @t89 @t88))))) % 0.25/0.49 (assume @p55 (forall (@list @t95 @t93 @t94 @t92) (or (tptp.p9 (tptp.f13 @t95 @t93) (tptp.f13 @t94 @t92)) (not (tptp.p12 @t95 @t94)) (not (tptp.p4 @t93 @t92))))) % 0.25/0.49 (assume @p56 (forall (@list @t97 @t99 @t96 @t98) (or (tptp.p7 (tptp.f40 @t97 @t99) (tptp.f40 @t96 @t98)) (not (tptp.p15 @t99 @t98)) (not (tptp.p39 @t97 @t96))))) % 0.25/0.49 (assume @p57 (forall (@list @t101 @t103 @t100 @t102) (or (tptp.p6 (tptp.f11 @t101 @t103) (tptp.f11 @t100 @t102)) (not (tptp.p10 @t103 @t102)) (not (tptp.p9 @t101 @t100))))) % 0.25/0.49 (assume @p58 (forall (@list @t105 @t107 @t104 @t106) (or (tptp.p43 (tptp.f46 @t105 @t107) (tptp.f46 @t104 @t106)) (not (tptp.p4 @t107 @t106)) (not (tptp.p45 @t105 @t104))))) % 0.25/0.49 (assume @p59 (forall (@list @t109 @t111 @t108 @t110) (or (tptp.p41 (tptp.f44 @t109 @t111) (tptp.f44 @t108 @t110)) (not (tptp.p10 @t111 @t110)) (not (tptp.p43 @t109 @t108))))) % 0.25/0.49 (assume @p60 (forall (@list @t115 @t113 @t114 @t112) (or (tptp.p4 (tptp.f5 @t115 @t113) (tptp.f5 @t114 @t112)) (not (tptp.p2 @t115 @t114)) (not (tptp.p3 @t113 @t112))))) % 0.25/0.49 (assume @p61 (forall (@list @t117 @t119 @t116 @t118) (or (tptp.p4 (tptp.f20 @t117 @t119) (tptp.f20 @t116 @t118)) (not (tptp.p15 @t119 @t118)) (not (tptp.p19 @t117 @t116))))) % 0.25/0.49 (assume @p62 (forall (@list @t123 @t121 @t122 @t120) (or (tptp.p39 (tptp.f42 @t123 @t121) (tptp.f42 @t122 @t120)) (not (tptp.p41 @t123 @t122)) (not (tptp.p7 @t121 @t120))))) % 0.25/0.49 (assume @p63 (forall (@list @t125 @t127 @t124 @t126) (or (tptp.p37 (tptp.f38 @t125 @t127) (tptp.f38 @t124 @t126)) (not (tptp.p15 @t127 @t126)) (not (tptp.p7 @t125 @t124))))) % 0.25/0.49 (assume @p64 (forall (@list @t131 @t129 @t130 @t128) (or (tptp.p33 (tptp.f36 @t131 @t129) (tptp.f36 @t130 @t128)) (not (tptp.p35 @t131 @t130)) (not (tptp.p4 @t129 @t128))))) % 0.25/0.49 (assume @p65 (forall (@list @t133 @t135 @t132 @t134) (or (tptp.p31 (tptp.f34 @t133 @t135) (tptp.f34 @t132 @t134)) (not (tptp.p10 @t135 @t134)) (not (tptp.p33 @t133 @t132))))) % 0.25/0.49 (assume @p66 (forall (@list @t139 @t137 @t138 @t136) (or (tptp.p3 (tptp.f8 @t139 @t137) (tptp.f8 @t138 @t136)) (not (tptp.p6 @t139 @t138)) (not (tptp.p7 @t137 @t136))))) % 0.25/0.49 (assume @p67 (forall (@list @t143 @t141 @t142 @t140) (or (tptp.p3 (tptp.f16 @t143 @t141) (tptp.f16 @t142 @t140)) (not (tptp.p14 @t143 @t142)) (not (tptp.p15 @t141 @t140))))) % 0.25/0.49 (assume @p68 (forall (@list @t147 @t145 @t146 @t144) (or (tptp.p29 (tptp.f32 @t147 @t145) (tptp.f32 @t146 @t144)) (not (tptp.p31 @t147 @t146)) (not (tptp.p7 @t145 @t144))))) % 0.25/0.49 (assume @p69 (forall (@list @t151 @t149 @t150 @t148) (or (tptp.p27 (tptp.f28 @t151 @t149) (tptp.f28 @t150 @t148)) (not (tptp.p10 @t151 @t150)) (not (tptp.p15 @t149 @t148))))) % 0.25/0.49 (assume @p70 (forall (@list @t155 @t153 @t154 @t152) (or (tptp.p23 (tptp.f26 @t155 @t153) (tptp.f26 @t154 @t152)) (not (tptp.p25 @t155 @t154)) (not (tptp.p4 @t153 @t152))))) % 0.25/0.49 (assume @p71 (forall (@list @t157 @t159 @t156 @t158) (or (tptp.p21 (tptp.f24 @t157 @t159) (tptp.f24 @t156 @t158)) (not (tptp.p10 @t159 @t158)) (not (tptp.p23 @t157 @t156))))) % 0.25/0.49 (assume @p72 (forall (@list @t163 @t161 @t162 @t160) (or (tptp.p19 (tptp.f22 @t163 @t161) (tptp.f22 @t162 @t160)) (not (tptp.p21 @t163 @t162)) (not (tptp.p7 @t161 @t160))))) % 0.25/0.49 (assume @p73 (forall (@list @t167 @t165 @t166 @t164) (or (tptp.p14 (tptp.f18 @t167 @t165) (tptp.f18 @t166 @t164)) (not (tptp.p17 @t167 @t166)) (not (tptp.p3 @t165 @t164))))) % 0.25/0.49 (assume @p74 (forall (@list @t171 @t168 @t170 @t169) (or @t173 (not @t172)))) % 0.25/0.49 (assume @p75 @t176) % 0.25/0.49 (assume @p76 (forall (@list @t171 @t170 @t169 @t168) (or @t172 (not @t173)))) % 0.25/0.49 (assume @p77 @t179) % 0.25/0.49 (assume @p78 (forall @t181 (or (tptp.p27 (tptp.f28 @t180 @t174) (tptp.f28 @t80 @t174)) @t175))) % 0.25/0.49 (assume @p79 (forall @t181 (or (tptp.p37 (tptp.f38 @t182 @t174) (tptp.f38 @t79 @t174)) @t175))) % 0.25/0.49 (assume @p80 (forall @t83 (tptp.p3 (tptp.f16 (tptp.f18 tptp.c54 (tptp.f8 (tptp.f11 (tptp.f13 tptp.c49 @t81) @t80) @t79)) @t78) (tptp.f8 (tptp.f11 (tptp.f13 tptp.c49 @t82) @t180) @t182)))) % 0.25/0.49 (step @p81 :rule instantiate :premises (@p74) :args ((@list @t185 tptp.c53 @t184 @t183))) % 0.25/0.49 (step @p82 :rule instantiate :premises (@p53) :args ((@list @t187 tptp.c53 @t178 tptp.c53))) % 0.25/0.49 (step @p83 :rule instantiate :premises (@p60) :args ((@list tptp.c48 @t177 tptp.c48 @t186))) % 0.25/0.49 (step @p84 :rule instantiate :premises (@p8) :args ((@list tptp.c48))) % 0.25/0.49 (step @p85 :rule instantiate :premises (@p80) :args ((@list tptp.c50 tptp.c51 tptp.c52 tptp.c55))) % 0.25/0.49 (step @p86 :rule cnf_or_pos :args (@t193)) % 0.25/0.49 (step @p87 :rule reordering :premises (@p86) :args ((or @t189 @t191 @t192 (not @t193)))) % 0.25/0.49 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p84 @p83) :args (@t192 (@list false false false) (@list @t188 @t190 @t193))) % 0.25/0.49 (step @p89 :rule instantiate :premises (@p5) :args ((@list tptp.c53))) % 0.25/0.49 (step @p90 :rule cnf_or_pos :args (@t199)) % 0.25/0.49 (step @p91 :rule reordering :premises (@p90) :args ((or @t196 @t195 @t197 @t198 (not @t199)))) % 0.25/0.49 (step @p92 :rule chain_m_resolution :premises (@p91 @p77 @p89 @p88 @p82) :args (@t198 (@list false false false false) (@list @t179 @t194 @t192 @t199))) % 0.25/0.49 (step @p93 :rule cnf_or_pos :args (@t202)) % 0.25/0.49 (step @p94 :rule reordering :premises (@p93) :args ((or @t201 @t200 (not @t202)))) % 0.25/0.49 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p81) :args (@t201 (@list false false) (@list @t198 @t202))) % 0.25/0.49 (step @p96 :rule instantiate :premises (@p76) :args ((@list tptp.c50 tptp.c51 tptp.c52 tptp.c53))) % 0.25/0.49 (step @p97 :rule cnf_or_pos :args (@t205)) % 0.25/0.49 (step @p98 :rule reordering :premises (@p97) :args ((or @t77 @t204 (not @t205)))) % 0.25/0.49 (step @p99 :rule chain_m_resolution :premises (@p98 @p51 @p96) :args (@t204 @t206 (@list @t77 @t205))) % 0.25/0.49 (step @p100 :rule cnf_or_pos :args (@t208)) % 0.25/0.49 (step @p101 :rule reordering :premises (@p100) :args ((or @t203 @t207 @t209))) % 0.25/0.49 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p95) :args (@t209 @t206 (@list @t203 @t201))) % 0.25/0.49 (assume-push @p109 @t176) % 0.25/0.49 (step @p104 :rule instantiate :premises (@p75) :args ((@list tptp.c50 tptp.c53 tptp.c51 tptp.c52 tptp.c55))) % 0.25/0.49 (step-pop @p110 :rule scope :premises (@p104)) % 0.25/0.49 (step @p105 :rule process_scope :premises (@p110) :args (@t208)) % 0.25/0.49 (step @p107 :rule implies_elim :premises (@p105)) % 0.25/0.49 (step @p108 false :rule chain_m_resolution :premises (@p107 @p102 @p75) :args (false @t206 (@list @t208 @t176))) % 0.25/0.49 ) % 0.25/0.49 % SZS output end Proof % 0.25/0.49 % cvc5 exiting %------------------------------------------------------------------------------