%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN707-1 : 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 : 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 09:09:41 AM UTC 2026 % Result : Unsatisfiable 6.40s 6.63s % Output : Proof 6.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYN707-1 : TPTP v9.2.1. Released v2.5.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 18:33:45 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 6.40/6.63 % SZS status Unsatisfiable % 6.40/6.63 % SZS output start Proof % 6.40/6.63 ( % 6.40/6.63 (declare-sort $$unsorted 0) % 6.40/6.63 (declare-const tptp.c49 $$unsorted) % 6.40/6.63 (declare-const tptp.c51 $$unsorted) % 6.40/6.63 (declare-const tptp.f29 (-> $$unsorted $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.f13 (-> $$unsorted $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.c43 $$unsorted) % 6.40/6.63 (declare-const tptp.f24 (-> $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.f21 (-> $$unsorted $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.f26 (-> $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.f5 (-> $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.c50 $$unsorted) % 6.40/6.63 (declare-const tptp.f25 (-> $$unsorted $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.f7 (-> $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.c46 $$unsorted) % 6.40/6.63 (declare-const tptp.f23 (-> $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.p33 (-> $$unsorted $$unsorted Bool)) % 6.40/6.63 (declare-const tptp.c59 $$unsorted) % 6.40/6.63 (declare-const tptp.c54 $$unsorted) % 6.40/6.63 (declare-const tptp.f6 (-> $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.p12 (-> $$unsorted $$unsorted Bool)) % 6.40/6.63 (declare-const tptp.c45 $$unsorted) % 6.40/6.63 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 6.40/6.63 (declare-const tptp.f30 (-> $$unsorted $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.p37 (-> $$unsorted $$unsorted Bool)) % 6.40/6.63 (declare-const tptp.f28 (-> $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.p3 (-> $$unsorted $$unsorted Bool)) % 6.40/6.63 (declare-const tptp.p40 (-> $$unsorted Bool)) % 6.40/6.63 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.f19 (-> $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.p9 (-> $$unsorted $$unsorted Bool)) % 6.40/6.63 (declare-const tptp.p34 (-> $$unsorted Bool)) % 6.40/6.63 (declare-const tptp.p36 (-> $$unsorted $$unsorted Bool)) % 6.40/6.63 (declare-const tptp.p16 (-> $$unsorted $$unsorted Bool)) % 6.40/6.63 (declare-const tptp.c44 $$unsorted) % 6.40/6.63 (declare-const tptp.p10 (-> $$unsorted $$unsorted Bool)) % 6.40/6.63 (declare-const tptp.f27 (-> $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.f20 (-> $$unsorted $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.p42 (-> $$unsorted $$unsorted Bool)) % 6.40/6.63 (declare-const tptp.p38 (-> $$unsorted Bool)) % 6.40/6.63 (declare-const tptp.c55 $$unsorted) % 6.40/6.63 (declare-const tptp.f18 (-> $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.p32 (-> $$unsorted $$unsorted Bool)) % 6.40/6.63 (declare-const tptp.c58 $$unsorted) % 6.40/6.63 (declare-const tptp.p41 (-> $$unsorted $$unsorted Bool)) % 6.40/6.63 (declare-const tptp.p39 (-> $$unsorted $$unsorted Bool)) % 6.40/6.63 (declare-const tptp.c56 $$unsorted) % 6.40/6.63 (declare-const tptp.p35 (-> $$unsorted $$unsorted Bool)) % 6.40/6.63 (declare-const tptp.c57 $$unsorted) % 6.40/6.63 (declare-const tptp.f14 (-> $$unsorted $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.f22 (-> $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.c48 $$unsorted) % 6.40/6.63 (declare-const tptp.c53 $$unsorted) % 6.40/6.63 (declare-const tptp.f15 (-> $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.c52 $$unsorted) % 6.40/6.63 (declare-const tptp.f31 (-> $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.c47 $$unsorted) % 6.40/6.63 (declare-const tptp.f4 (-> $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.f17 (-> $$unsorted $$unsorted)) % 6.40/6.63 (declare-const tptp.f11 (-> $$unsorted $$unsorted)) % 6.40/6.63 (define @t1 () (tptp.p38 tptp.c56)) % 6.40/6.63 (define @t2 () (@var "X0" $$unsorted)) % 6.40/6.63 (define @t3 () (@var "X113" $$unsorted)) % 6.40/6.63 (define @t4 () (@var "X74" $$unsorted)) % 6.40/6.63 (define @t5 () (@var "X69" $$unsorted)) % 6.40/6.63 (define @t6 () (@var "X52" $$unsorted)) % 6.40/6.63 (define @t7 () (@var "X18" $$unsorted)) % 6.40/6.63 (define @t8 () (@var "X11" $$unsorted)) % 6.40/6.63 (define @t9 () (tptp.f15 tptp.c56)) % 6.40/6.63 (define @t10 () (tptp.p37 @t9 tptp.c48)) % 6.40/6.63 (define @t11 () (@var "X27" $$unsorted)) % 6.40/6.63 (define @t12 () (not (tptp.p38 @t11))) % 6.40/6.63 (define @t13 () (tptp.f15 @t11)) % 6.40/6.63 (define @t14 () (@list @t11)) % 6.40/6.63 (define @t15 () (tptp.f19 tptp.c56)) % 6.40/6.63 (define @t16 () (@var "X103" $$unsorted)) % 6.40/6.63 (define @t17 () (@var "X104" $$unsorted)) % 6.40/6.63 (define @t18 () (@var "X81" $$unsorted)) % 6.40/6.63 (define @t19 () (@var "X82" $$unsorted)) % 6.40/6.63 (define @t20 () (@var "X97" $$unsorted)) % 6.40/6.63 (define @t21 () (@var "X98" $$unsorted)) % 6.40/6.63 (define @t22 () (@var "X4" $$unsorted)) % 6.40/6.63 (define @t23 () (@var "X3" $$unsorted)) % 6.40/6.63 (define @t24 () (@var "X121" $$unsorted)) % 6.40/6.63 (define @t25 () (@var "X120" $$unsorted)) % 6.40/6.63 (define @t26 () (@var "X73" $$unsorted)) % 6.40/6.63 (define @t27 () (@var "X72" $$unsorted)) % 6.40/6.63 (define @t28 () (@var "X64" $$unsorted)) % 6.40/6.63 (define @t29 () (@var "X63" $$unsorted)) % 6.40/6.63 (define @t30 () (@var "X62" $$unsorted)) % 6.40/6.63 (define @t31 () (@var "X61" $$unsorted)) % 6.40/6.63 (define @t32 () (@var "X60" $$unsorted)) % 6.40/6.63 (define @t33 () (@var "X59" $$unsorted)) % 6.40/6.63 (define @t34 () (@var "X58" $$unsorted)) % 6.40/6.63 (define @t35 () (@var "X57" $$unsorted)) % 6.40/6.63 (define @t36 () (@var "X56" $$unsorted)) % 6.40/6.63 (define @t37 () (@var "X55" $$unsorted)) % 6.40/6.63 (define @t38 () (@var "X43" $$unsorted)) % 6.40/6.63 (define @t39 () (@var "X42" $$unsorted)) % 6.40/6.63 (define @t40 () (@var "X37" $$unsorted)) % 6.40/6.63 (define @t41 () (@var "X36" $$unsorted)) % 6.40/6.63 (define @t42 () (@var "X35" $$unsorted)) % 6.40/6.63 (define @t43 () (@var "X34" $$unsorted)) % 6.40/6.63 (define @t44 () (@var "X33" $$unsorted)) % 6.40/6.63 (define @t45 () (@var "X32" $$unsorted)) % 6.40/6.63 (define @t46 () (@var "X26" $$unsorted)) % 6.40/6.63 (define @t47 () (@var "X25" $$unsorted)) % 6.40/6.63 (define @t48 () (@var "X24" $$unsorted)) % 6.40/6.63 (define @t49 () (@var "X23" $$unsorted)) % 6.40/6.63 (define @t50 () (@var "X22" $$unsorted)) % 6.40/6.63 (define @t51 () (@var "X21" $$unsorted)) % 6.40/6.63 (define @t52 () (@var "X6" $$unsorted)) % 6.40/6.63 (define @t53 () (@var "X5" $$unsorted)) % 6.40/6.63 (define @t54 () (@var "X2" $$unsorted)) % 6.40/6.63 (define @t55 () (@var "X1" $$unsorted)) % 6.40/6.63 (define @t56 () (@var "X115" $$unsorted)) % 6.40/6.63 (define @t57 () (@var "X114" $$unsorted)) % 6.40/6.63 (define @t58 () (@var "X76" $$unsorted)) % 6.40/6.63 (define @t59 () (@var "X75" $$unsorted)) % 6.40/6.63 (define @t60 () (@var "X70" $$unsorted)) % 6.40/6.63 (define @t61 () (@var "X71" $$unsorted)) % 6.40/6.63 (define @t62 () (@var "X54" $$unsorted)) % 6.40/6.63 (define @t63 () (@var "X53" $$unsorted)) % 6.40/6.63 (define @t64 () (@var "X20" $$unsorted)) % 6.40/6.63 (define @t65 () (@var "X19" $$unsorted)) % 6.40/6.63 (define @t66 () (@var "X13" $$unsorted)) % 6.40/6.63 (define @t67 () (@var "X12" $$unsorted)) % 6.40/6.63 (define @t68 () (tptp.f7 tptp.c44)) % 6.40/6.63 (define @t69 () (tptp.f6 @t68)) % 6.40/6.63 (define @t70 () (tptp.f6 @t69)) % 6.40/6.63 (define @t71 () (tptp.f6 @t70)) % 6.40/6.63 (define @t72 () (tptp.f6 @t71)) % 6.40/6.63 (define @t73 () (tptp.f7 @t68)) % 6.40/6.63 (define @t74 () (tptp.f7 @t73)) % 6.40/6.63 (define @t75 () (tptp.f7 @t74)) % 6.40/6.63 (define @t76 () (tptp.f7 @t75)) % 6.40/6.63 (define @t77 () (tptp.f7 @t76)) % 6.40/6.63 (define @t78 () (tptp.f5 (tptp.f6 @t77))) % 6.40/6.63 (define @t79 () (tptp.f5 tptp.c44)) % 6.40/6.63 (define @t80 () (@var "X92" $$unsorted)) % 6.40/6.63 (define @t81 () (@var "X91" $$unsorted)) % 6.40/6.63 (define @t82 () (tptp.p39 (tptp.f19 @t81) (tptp.f19 @t80))) % 6.40/6.63 (define @t83 () (not (tptp.p38 @t80))) % 6.40/6.63 (define @t84 () (not (tptp.p38 @t81))) % 6.40/6.63 (define @t85 () (tptp.p37 @t81 @t80)) % 6.40/6.63 (define @t86 () (@list @t81 @t80)) % 6.40/6.63 (define @t87 () (@var "X109" $$unsorted)) % 6.40/6.63 (define @t88 () (@var "X111" $$unsorted)) % 6.40/6.63 (define @t89 () (@var "X112" $$unsorted)) % 6.40/6.63 (define @t90 () (@var "X110" $$unsorted)) % 6.40/6.63 (define @t91 () (@var "X77" $$unsorted)) % 6.40/6.63 (define @t92 () (@var "X79" $$unsorted)) % 6.40/6.63 (define @t93 () (@var "X80" $$unsorted)) % 6.40/6.63 (define @t94 () (@var "X78" $$unsorted)) % 6.40/6.63 (define @t95 () (@var "X83" $$unsorted)) % 6.40/6.63 (define @t96 () (@var "X85" $$unsorted)) % 6.40/6.63 (define @t97 () (@var "X86" $$unsorted)) % 6.40/6.63 (define @t98 () (@var "X84" $$unsorted)) % 6.40/6.63 (define @t99 () (@var "X87" $$unsorted)) % 6.40/6.63 (define @t100 () (@var "X89" $$unsorted)) % 6.40/6.63 (define @t101 () (@var "X90" $$unsorted)) % 6.40/6.63 (define @t102 () (@var "X88" $$unsorted)) % 6.40/6.63 (define @t103 () (@var "X93" $$unsorted)) % 6.40/6.63 (define @t104 () (@var "X95" $$unsorted)) % 6.40/6.63 (define @t105 () (@var "X96" $$unsorted)) % 6.40/6.63 (define @t106 () (@var "X94" $$unsorted)) % 6.40/6.63 (define @t107 () (@var "X99" $$unsorted)) % 6.40/6.63 (define @t108 () (@var "X101" $$unsorted)) % 6.40/6.63 (define @t109 () (@var "X102" $$unsorted)) % 6.40/6.63 (define @t110 () (@var "X100" $$unsorted)) % 6.40/6.63 (define @t111 () (forall (@list @t107 @t110 @t109 @t108) (or (tptp.p39 @t107 @t110) (not (tptp.p16 @t109 @t110)) (not (tptp.p39 @t108 @t109)) (not (tptp.p16 @t108 @t107))))) % 6.40/6.63 (define @t112 () (@var "X105" $$unsorted)) % 6.40/6.63 (define @t113 () (@var "X107" $$unsorted)) % 6.40/6.63 (define @t114 () (@var "X108" $$unsorted)) % 6.40/6.63 (define @t115 () (@var "X106" $$unsorted)) % 6.40/6.63 (define @t116 () (@var "X118" $$unsorted)) % 6.40/6.63 (define @t117 () (@var "X116" $$unsorted)) % 6.40/6.63 (define @t118 () (@var "X119" $$unsorted)) % 6.40/6.63 (define @t119 () (@var "X117" $$unsorted)) % 6.40/6.63 (define @t120 () (@var "X10" $$unsorted)) % 6.40/6.63 (define @t121 () (@var "X8" $$unsorted)) % 6.40/6.63 (define @t122 () (@var "X9" $$unsorted)) % 6.40/6.63 (define @t123 () (@var "X7" $$unsorted)) % 6.40/6.63 (define @t124 () (@var "X17" $$unsorted)) % 6.40/6.63 (define @t125 () (@var "X15" $$unsorted)) % 6.40/6.63 (define @t126 () (@var "X16" $$unsorted)) % 6.40/6.63 (define @t127 () (@var "X14" $$unsorted)) % 6.40/6.63 (define @t128 () (@var "X31" $$unsorted)) % 6.40/6.63 (define @t129 () (@var "X29" $$unsorted)) % 6.40/6.63 (define @t130 () (@var "X30" $$unsorted)) % 6.40/6.63 (define @t131 () (@var "X28" $$unsorted)) % 6.40/6.63 (define @t132 () (@var "X41" $$unsorted)) % 6.40/6.63 (define @t133 () (@var "X39" $$unsorted)) % 6.40/6.63 (define @t134 () (@var "X40" $$unsorted)) % 6.40/6.63 (define @t135 () (@var "X38" $$unsorted)) % 6.40/6.63 (define @t136 () (@var "X47" $$unsorted)) % 6.40/6.63 (define @t137 () (@var "X45" $$unsorted)) % 6.40/6.63 (define @t138 () (@var "X46" $$unsorted)) % 6.40/6.63 (define @t139 () (@var "X44" $$unsorted)) % 6.40/6.63 (define @t140 () (@var "X51" $$unsorted)) % 6.40/6.63 (define @t141 () (@var "X49" $$unsorted)) % 6.40/6.63 (define @t142 () (@var "X50" $$unsorted)) % 6.40/6.63 (define @t143 () (@var "X48" $$unsorted)) % 6.40/6.63 (define @t144 () (@var "X67" $$unsorted)) % 6.40/6.63 (define @t145 () (@var "X65" $$unsorted)) % 6.40/6.63 (define @t146 () (@var "X68" $$unsorted)) % 6.40/6.63 (define @t147 () (@var "X66" $$unsorted)) % 6.40/6.63 (define @t148 () (tptp.f5 @t69)) % 6.40/6.63 (define @t149 () (tptp.f6 (tptp.f6 @t73))) % 6.40/6.63 (define @t150 () (tptp.f5 (tptp.f6 (tptp.f7 (tptp.f7 @t149))))) % 6.40/6.63 (define @t151 () (tptp.f11 (tptp.f13 @t79 (tptp.f14 @t150 @t79)))) % 6.40/6.63 (define @t152 () (tptp.p38 @t151)) % 6.40/6.63 (define @t153 () (tptp.f7 @t77)) % 6.40/6.63 (define @t154 () (tptp.f5 @t153)) % 6.40/6.63 (define @t155 () (tptp.f11 (tptp.f13 @t79 (tptp.f14 @t154 @t79)))) % 6.40/6.63 (define @t156 () (tptp.p10 tptp.c48 @t151)) % 6.40/6.63 (define @t157 () (tptp.f20 @t155 tptp.c56)) % 6.40/6.63 (define @t158 () (tptp.f19 @t151)) % 6.40/6.63 (define @t159 () (tptp.f28 @t15)) % 6.40/6.63 (define @t160 () (tptp.p39 @t159 @t158)) % 6.40/6.63 (define @t161 () (tptp.f24 @t148)) % 6.40/6.63 (define @t162 () (tptp.f19 @t157)) % 6.40/6.63 (define @t163 () (tptp.f23 @t161)) % 6.40/6.63 (define @t164 () (tptp.f23 (tptp.f24 (tptp.f5 @t70)))) % 6.40/6.63 (define @t165 () (tptp.f21 (tptp.f19 @t155) @t15)) % 6.40/6.63 (define @t166 () (tptp.f7 @t69)) % 6.40/6.63 (define @t167 () (tptp.f7 @t72)) % 6.40/6.63 (define @t168 () (tptp.f28 @t162)) % 6.40/6.63 (define @t169 () (tptp.f30 @t161 @t154)) % 6.40/6.63 (define @t170 () (@list tptp.c56)) % 6.40/6.63 (define @t171 () (not @t1)) % 6.40/6.63 (define @t172 () (tptp.p38 @t9)) % 6.40/6.63 (define @t173 () (or @t172 @t171)) % 6.40/6.63 (define @t174 () (@list false false)) % 6.40/6.63 (define @t175 () (@list tptp.c48 @t151)) % 6.40/6.63 (define @t176 () (tptp.p10 tptp.c48 tptp.c48)) % 6.40/6.63 (define @t177 () (not @t176)) % 6.40/6.63 (define @t178 () (not @t156)) % 6.40/6.63 (define @t179 () (tptp.p10 @t151 tptp.c48)) % 6.40/6.63 (define @t180 () (or @t179 @t178 @t177)) % 6.40/6.63 (define @t181 () (@list false false false)) % 6.40/6.63 (define @t182 () (not @t179)) % 6.40/6.63 (define @t183 () (not @t152)) % 6.40/6.63 (define @t184 () (tptp.p38 tptp.c48)) % 6.40/6.63 (define @t185 () (or @t184 @t183 @t182)) % 6.40/6.63 (define @t186 () (not @t10)) % 6.40/6.63 (define @t187 () (not @t172)) % 6.40/6.63 (define @t188 () (not @t184)) % 6.40/6.63 (define @t189 () (tptp.f19 tptp.c48)) % 6.40/6.63 (define @t190 () (tptp.f19 @t9)) % 6.40/6.63 (define @t191 () (tptp.p39 @t190 @t189)) % 6.40/6.63 (define @t192 () (or @t191 @t188 @t187 @t186)) % 6.40/6.63 (define @t193 () (tptp.p16 @t190 @t159)) % 6.40/6.63 (define @t194 () (or @t193 @t171)) % 6.40/6.63 (define @t195 () (tptp.p16 @t189 @t158)) % 6.40/6.63 (define @t196 () (or @t195 @t178)) % 6.40/6.63 (define @t197 () (not @t193)) % 6.40/6.63 (define @t198 () (not @t191)) % 6.40/6.63 (define @t199 () (not @t195)) % 6.40/6.63 (define @t200 () (or @t160 @t199 @t198 @t197)) % 6.40/6.63 (define @t201 () (not @t200)) % 6.40/6.63 (assume @p1 @t1) % 6.40/6.63 (assume @p2 (not (tptp.p34 tptp.c56))) % 6.40/6.63 (assume @p3 (forall (@list @t2) (tptp.p10 @t2 @t2))) % 6.40/6.63 (assume @p4 (forall (@list @t3) (tptp.p9 @t3 @t3))) % 6.40/6.63 (assume @p5 (forall (@list @t4) (tptp.p32 @t4 @t4))) % 6.40/6.63 (assume @p6 (forall (@list @t5) (tptp.p3 @t5 @t5))) % 6.40/6.63 (assume @p7 (forall (@list @t6) (tptp.p2 @t6 @t6))) % 6.40/6.63 (assume @p8 (forall (@list @t7) (tptp.p16 @t7 @t7))) % 6.40/6.63 (assume @p9 (forall (@list @t8) (tptp.p12 @t8 @t8))) % 6.40/6.63 (assume @p10 (tptp.p33 tptp.c54 tptp.c55)) % 6.40/6.63 (assume @p11 (not (tptp.p35 tptp.c56 tptp.c58))) % 6.40/6.63 (assume @p12 (not (tptp.p35 tptp.c56 tptp.c57))) % 6.40/6.63 (assume @p13 @t10) % 6.40/6.63 (assume @p14 (not (tptp.p36 @t9 tptp.c47))) % 6.40/6.63 (assume @p15 (forall @t14 (or (tptp.p38 @t13) @t12))) % 6.40/6.63 (assume @p16 (tptp.p39 (tptp.f18 @t15) (tptp.f17 tptp.c59))) % 6.40/6.63 (assume @p17 (forall (@list @t16 @t17) (or (tptp.p40 @t16) (not (tptp.p40 @t17)) (not (tptp.p10 @t17 @t16))))) % 6.40/6.63 (assume @p18 (forall (@list @t18 @t19) (or (tptp.p34 @t18) (not (tptp.p34 @t19)) (not (tptp.p10 @t19 @t18))))) % 6.40/6.63 (assume @p19 (forall (@list @t20 @t21) (or (tptp.p38 @t20) (not (tptp.p38 @t21)) (not (tptp.p10 @t21 @t20))))) % 6.40/6.63 (assume @p20 (forall (@list @t23 @t22) (or (tptp.p10 (tptp.f11 @t23) (tptp.f11 @t22)) (not (tptp.p9 @t23 @t22))))) % 6.40/6.63 (assume @p21 (forall (@list @t25 @t24) (or (tptp.p9 (tptp.f27 @t25) (tptp.f27 @t24)) (not (tptp.p10 @t25 @t24))))) % 6.40/6.63 (assume @p22 (forall (@list @t27 @t26) (or (tptp.p3 (tptp.f4 @t27) (tptp.f4 @t26)) (not (tptp.p2 @t27 @t26))))) % 6.40/6.63 (assume @p23 (forall (@list @t29 @t28) (or (tptp.p2 (tptp.f7 @t29) (tptp.f7 @t28)) (not (tptp.p2 @t29 @t28))))) % 6.40/6.63 (assume @p24 (forall (@list @t31 @t30) (or (tptp.p2 (tptp.f6 @t31) (tptp.f6 @t30)) (not (tptp.p2 @t31 @t30))))) % 6.40/6.63 (assume @p25 (forall (@list @t33 @t32) (or (tptp.p2 (tptp.f5 @t33) (tptp.f5 @t32)) (not (tptp.p2 @t33 @t32))))) % 6.40/6.63 (assume @p26 (forall (@list @t35 @t34) (or (tptp.p2 (tptp.f31 @t35) (tptp.f31 @t34)) (not (tptp.p2 @t35 @t34))))) % 6.40/6.63 (assume @p27 (forall (@list @t37 @t36) (or (tptp.p2 (tptp.f26 @t37) (tptp.f26 @t36)) (not (tptp.p9 @t37 @t36))))) % 6.40/6.63 (assume @p28 (forall (@list @t39 @t38) (or (tptp.p16 (tptp.f28 @t39) (tptp.f28 @t38)) (not (tptp.p16 @t39 @t38))))) % 6.40/6.63 (assume @p29 (forall (@list @t41 @t40) (or (tptp.p16 (tptp.f24 @t41) (tptp.f24 @t40)) (not (tptp.p2 @t41 @t40))))) % 6.40/6.63 (assume @p30 (forall (@list @t43 @t42) (or (tptp.p16 (tptp.f23 @t43) (tptp.f23 @t42)) (not (tptp.p16 @t43 @t42))))) % 6.40/6.63 (assume @p31 (forall (@list @t45 @t44) (or (tptp.p16 (tptp.f22 @t45) (tptp.f22 @t44)) (not (tptp.p16 @t45 @t44))))) % 6.40/6.63 (assume @p32 (forall (@list @t47 @t46) (or (tptp.p16 (tptp.f19 @t47) (tptp.f19 @t46)) (not (tptp.p10 @t47 @t46))))) % 6.40/6.63 (assume @p33 (forall (@list @t49 @t48) (or (tptp.p16 (tptp.f18 @t49) (tptp.f18 @t48)) (not (tptp.p16 @t49 @t48))))) % 6.40/6.63 (assume @p34 (forall (@list @t51 @t50) (or (tptp.p16 (tptp.f17 @t51) (tptp.f17 @t50)) (not (tptp.p12 @t51 @t50))))) % 6.40/6.63 (assume @p35 (forall (@list @t53 @t52) (or (tptp.p10 (tptp.f15 @t53) (tptp.f15 @t52)) (not (tptp.p10 @t53 @t52))))) % 6.40/6.63 (assume @p36 (forall @t14 (or (tptp.p16 (tptp.f19 @t13) (tptp.f28 (tptp.f19 @t11))) @t12))) % 6.40/6.63 (assume @p37 (forall (@list @t55 @t54 @t2) (or (tptp.p10 @t55 @t54) (not (tptp.p10 @t2 @t55)) (not (tptp.p10 @t2 @t54))))) % 6.40/6.63 (assume @p38 (forall (@list @t57 @t56 @t3) (or (tptp.p9 @t57 @t56) (not (tptp.p9 @t3 @t57)) (not (tptp.p9 @t3 @t56))))) % 6.40/6.63 (assume @p39 (forall (@list @t59 @t58 @t4) (or (tptp.p32 @t59 @t58) (not (tptp.p32 @t4 @t59)) (not (tptp.p32 @t4 @t58))))) % 6.40/6.63 (assume @p40 (forall (@list @t60 @t61 @t5) (or (tptp.p3 @t60 @t61) (not (tptp.p3 @t5 @t61)) (not (tptp.p3 @t5 @t60))))) % 6.40/6.63 (assume @p41 (forall (@list @t63 @t62 @t6) (or (tptp.p2 @t63 @t62) (not (tptp.p2 @t6 @t63)) (not (tptp.p2 @t6 @t62))))) % 6.40/6.63 (assume @p42 (forall (@list @t65 @t64 @t7) (or (tptp.p16 @t65 @t64) (not (tptp.p16 @t7 @t65)) (not (tptp.p16 @t7 @t64))))) % 6.40/6.63 (assume @p43 (forall (@list @t67 @t66 @t8) (or (tptp.p12 @t67 @t66) (not (tptp.p12 @t8 @t67)) (not (tptp.p12 @t8 @t66))))) % 6.40/6.63 (assume @p44 (tptp.p3 tptp.c43 (tptp.f4 (tptp.f5 (tptp.f6 @t72))))) % 6.40/6.63 (assume @p45 (tptp.p41 @t79 @t78)) % 6.40/6.63 (assume @p46 (forall @t86 (or @t85 @t84 @t83 (not @t82)))) % 6.40/6.63 (assume @p47 (forall (@list @t87 @t90 @t89 @t88) (or (tptp.p42 @t87 @t90) (not (tptp.p16 @t89 @t90)) (not (tptp.p42 @t88 @t89)) (not (tptp.p16 @t88 @t87))))) % 6.40/6.63 (assume @p48 (forall (@list @t91 @t94 @t93 @t92) (or (tptp.p33 @t91 @t94) (not (tptp.p32 @t93 @t94)) (not (tptp.p33 @t92 @t93)) (not (tptp.p32 @t92 @t91))))) % 6.40/6.63 (assume @p49 (forall (@list @t95 @t98 @t97 @t96) (or (tptp.p35 @t95 @t98) (not (tptp.p10 @t97 @t98)) (not (tptp.p35 @t96 @t97)) (not (tptp.p10 @t96 @t95))))) % 6.40/6.63 (assume @p50 (forall (@list @t99 @t102 @t101 @t100) (or (tptp.p36 @t99 @t102) (not (tptp.p10 @t101 @t102)) (not (tptp.p36 @t100 @t101)) (not (tptp.p10 @t100 @t99))))) % 6.40/6.63 (assume @p51 (forall (@list @t103 @t106 @t105 @t104) (or (tptp.p37 @t103 @t106) (not (tptp.p10 @t105 @t106)) (not (tptp.p37 @t104 @t105)) (not (tptp.p10 @t104 @t103))))) % 6.40/6.63 (assume @p52 @t111) % 6.40/6.63 (assume @p53 (forall (@list @t112 @t115 @t114 @t113) (or (tptp.p41 @t112 @t115) (not (tptp.p2 @t114 @t115)) (not (tptp.p41 @t113 @t114)) (not (tptp.p2 @t113 @t112))))) % 6.40/6.63 (assume @p54 (forall @t86 (or @t82 @t83 @t84 (not @t85)))) % 6.40/6.63 (assume @p55 (forall (@list @t117 @t119 @t116 @t118) (or (tptp.p9 (tptp.f13 @t117 @t119) (tptp.f13 @t116 @t118)) (not (tptp.p12 @t119 @t118)) (not (tptp.p2 @t117 @t116))))) % 6.40/6.63 (assume @p56 (forall (@list @t123 @t121 @t122 @t120) (or (tptp.p10 (tptp.f20 @t123 @t121) (tptp.f20 @t122 @t120)) (not (tptp.p10 @t123 @t122)) (not (tptp.p10 @t121 @t120))))) % 6.40/6.63 (assume @p57 (forall (@list @t127 @t125 @t126 @t124) (or (tptp.p12 (tptp.f14 @t127 @t125) (tptp.f14 @t126 @t124)) (not (tptp.p2 @t127 @t126)) (not (tptp.p2 @t125 @t124))))) % 6.40/6.63 (assume @p58 (forall (@list @t131 @t129 @t130 @t128) (or (tptp.p16 (tptp.f21 @t131 @t129) (tptp.f21 @t130 @t128)) (not (tptp.p16 @t131 @t130)) (not (tptp.p16 @t129 @t128))))) % 6.40/6.63 (assume @p59 (forall (@list @t135 @t133 @t134 @t132) (or (tptp.p16 (tptp.f25 @t135 @t133) (tptp.f25 @t134 @t132)) (not (tptp.p16 @t135 @t134)) (not (tptp.p16 @t133 @t132))))) % 6.40/6.63 (assume @p60 (forall (@list @t139 @t137 @t138 @t136) (or (tptp.p16 (tptp.f29 @t139 @t137) (tptp.f29 @t138 @t136)) (not (tptp.p16 @t139 @t138)) (not (tptp.p16 @t137 @t136))))) % 6.40/6.63 (assume @p61 (forall (@list @t143 @t141 @t142 @t140) (or (tptp.p16 (tptp.f30 @t143 @t141) (tptp.f30 @t142 @t140)) (not (tptp.p16 @t143 @t142)) (not (tptp.p2 @t141 @t140))))) % 6.40/6.63 (assume @p62 (forall (@list @t145 @t147 @t144 @t146) (or (tptp.p2 (tptp.f8 @t145 @t147) (tptp.f8 @t144 @t146)) (not (tptp.p2 @t147 @t146)) (not (tptp.p2 @t145 @t144))))) % 6.40/6.63 (assume @p63 (tptp.p3 tptp.c45 (tptp.f4 (tptp.f8 @t148 (tptp.f5 (tptp.f7 @t70)))))) % 6.40/6.63 (assume @p64 @t152) % 6.40/6.63 (assume @p65 (tptp.p10 tptp.c46 @t155)) % 6.40/6.63 (assume @p66 @t156) % 6.40/6.63 (assume @p67 (tptp.p40 @t157)) % 6.40/6.63 (assume @p68 (tptp.p38 @t157)) % 6.40/6.63 (assume @p69 (not @t160)) % 6.40/6.63 (assume @p70 (tptp.p10 tptp.c52 (tptp.f11 (tptp.f13 @t79 (tptp.f14 @t78 (tptp.f5 (tptp.f6 (tptp.f6 (tptp.f7 @t71))))))))) % 6.40/6.63 (assume @p71 (tptp.p39 @t162 @t161)) % 6.40/6.63 (assume @p72 (tptp.p39 @t163 @t162)) % 6.40/6.63 (assume @p73 (tptp.p2 (tptp.f26 (tptp.f27 @t157)) @t78)) % 6.40/6.63 (assume @p74 (tptp.p39 @t165 (tptp.f25 @t161 @t164))) % 6.40/6.63 (assume @p75 (tptp.p39 (tptp.f21 @t163 @t164) @t165)) % 6.40/6.63 (assume @p76 (tptp.p10 tptp.c50 (tptp.f11 (tptp.f13 @t79 (tptp.f14 (tptp.f5 (tptp.f7 (tptp.f6 (tptp.f6 @t75)))) (tptp.f5 (tptp.f6 (tptp.f6 (tptp.f6 (tptp.f6 (tptp.f6 (tptp.f6 (tptp.f6 (tptp.f6 (tptp.f6 (tptp.f7 (tptp.f6 (tptp.f6 (tptp.f7 (tptp.f7 (tptp.f7 (tptp.f6 (tptp.f7 (tptp.f6 @t149)))))))))))))))))))))))) % 6.40/6.63 (assume @p77 (tptp.p10 tptp.c53 (tptp.f11 (tptp.f13 @t79 (tptp.f14 (tptp.f5 (tptp.f6 (tptp.f6 @t76))) (tptp.f5 (tptp.f6 (tptp.f6 (tptp.f7 (tptp.f7 (tptp.f6 (tptp.f7 (tptp.f7 (tptp.f7 (tptp.f6 (tptp.f7 (tptp.f6 (tptp.f7 (tptp.f6 (tptp.f7 (tptp.f6 (tptp.f7 (tptp.f6 (tptp.f7 (tptp.f6 @t166))))))))))))))))))))))))) % 6.40/6.63 (assume @p78 (tptp.p10 tptp.c51 (tptp.f11 (tptp.f13 @t79 (tptp.f14 @t150 (tptp.f5 (tptp.f6 (tptp.f7 (tptp.f7 (tptp.f7 (tptp.f6 (tptp.f6 (tptp.f6 (tptp.f7 (tptp.f6 (tptp.f7 (tptp.f7 (tptp.f7 (tptp.f7 (tptp.f7 (tptp.f6 @t153))))))))))))))))))))) % 6.40/6.63 (assume @p79 (tptp.p10 tptp.c49 (tptp.f11 (tptp.f13 @t79 (tptp.f14 (tptp.f5 (tptp.f6 (tptp.f6 @t167))) (tptp.f5 (tptp.f7 (tptp.f7 (tptp.f6 (tptp.f7 (tptp.f7 (tptp.f7 (tptp.f6 (tptp.f6 (tptp.f6 (tptp.f7 (tptp.f6 (tptp.f7 (tptp.f6 (tptp.f7 (tptp.f6 (tptp.f7 (tptp.f6 (tptp.f6 (tptp.f6 @t74))))))))))))))))))))))))) % 6.40/6.63 (assume @p80 (tptp.p10 tptp.c47 (tptp.f11 (tptp.f13 @t79 (tptp.f14 (tptp.f5 (tptp.f6 (tptp.f7 @t167))) (tptp.f5 (tptp.f6 (tptp.f7 (tptp.f6 (tptp.f7 (tptp.f7 (tptp.f7 (tptp.f6 (tptp.f7 (tptp.f7 (tptp.f7 (tptp.f6 (tptp.f7 (tptp.f6 (tptp.f7 (tptp.f7 (tptp.f6 (tptp.f6 (tptp.f6 (tptp.f7 (tptp.f7 @t166)))))))))))))))))))))))))) % 6.40/6.63 (assume @p81 (tptp.p42 (tptp.f29 (tptp.f30 @t161 @t78) @t169) @t168)) % 6.40/6.63 (assume @p82 (tptp.p39 @t168 (tptp.f29 (tptp.f30 @t161 (tptp.f31 @t78)) @t169))) % 6.40/6.63 (assume @p83 (tptp.p16 @t162 (tptp.f21 @t165 (tptp.f22 @t165)))) % 6.40/6.63 (step @p84 :rule instantiate :premises (@p54) :args ((@list @t9 tptp.c48))) % 6.40/6.63 (step @p85 :rule instantiate :premises (@p15) :args (@t170)) % 6.40/6.63 (step @p86 :rule cnf_or_pos :args (@t173)) % 6.40/6.63 (step @p87 :rule reordering :premises (@p86) :args ((or @t171 @t172 (not @t173)))) % 6.40/6.63 (step @p88 :rule chain_m_resolution :premises (@p87 @p1 @p85) :args (@t172 @t174 (@list @t1 @t173))) % 6.40/6.63 (step @p89 :rule instantiate :premises (@p19) :args (@t175)) % 6.40/6.63 (step @p90 :rule instantiate :premises (@p37) :args ((@list @t151 tptp.c48 tptp.c48))) % 6.40/6.63 (step @p91 :rule instantiate :premises (@p3) :args ((@list tptp.c48))) % 6.40/6.63 (step @p92 :rule cnf_or_pos :args (@t180)) % 6.40/6.63 (step @p93 :rule reordering :premises (@p92) :args ((or @t178 @t177 @t179 (not @t180)))) % 6.40/6.63 (step @p94 :rule chain_m_resolution :premises (@p93 @p66 @p91 @p90) :args (@t179 @t181 (@list @t156 @t176 @t180))) % 6.40/6.63 (step @p95 :rule cnf_or_pos :args (@t185)) % 6.40/6.63 (step @p96 :rule reordering :premises (@p95) :args ((or @t183 @t184 @t182 (not @t185)))) % 6.40/6.63 (step @p97 :rule chain_m_resolution :premises (@p96 @p64 @p94 @p89) :args (@t184 @t181 (@list @t152 @t179 @t185))) % 6.40/6.63 (step @p98 :rule cnf_or_pos :args (@t192)) % 6.40/6.63 (step @p99 :rule reordering :premises (@p98) :args ((or @t186 @t191 @t188 @t187 (not @t192)))) % 6.40/6.63 (step @p100 :rule chain_m_resolution :premises (@p99 @p13 @p97 @p88 @p84) :args (@t191 (@list false false false false) (@list @t10 @t184 @t172 @t192))) % 6.40/6.63 (step @p101 :rule instantiate :premises (@p36) :args (@t170)) % 6.40/6.63 (step @p102 :rule cnf_or_pos :args (@t194)) % 6.40/6.63 (step @p103 :rule reordering :premises (@p102) :args ((or @t171 @t193 (not @t194)))) % 6.40/6.63 (step @p104 :rule chain_m_resolution :premises (@p103 @p1 @p101) :args (@t193 @t174 (@list @t1 @t194))) % 6.40/6.63 (step @p105 :rule instantiate :premises (@p32) :args (@t175)) % 6.40/6.63 (step @p106 :rule cnf_or_pos :args (@t196)) % 6.40/6.63 (step @p107 :rule reordering :premises (@p106) :args ((or @t178 @t195 (not @t196)))) % 6.40/6.63 (step @p108 :rule chain_m_resolution :premises (@p107 @p66 @p105) :args (@t195 @t174 (@list @t156 @t196))) % 6.40/6.63 (step @p109 :rule cnf_or_pos :args (@t200)) % 6.40/6.63 (step @p110 :rule reordering :premises (@p109) :args ((or @t160 @t199 @t197 @t198 @t201))) % 6.40/6.63 (step @p111 :rule chain_m_resolution :premises (@p110 @p69 @p108 @p104 @p100) :args (@t201 (@list true false false false) (@list @t160 @t195 @t193 @t191))) % 6.40/6.63 (assume-push @p118 @t111) % 6.40/6.63 (step @p113 :rule instantiate :premises (@p52) :args ((@list @t159 @t158 @t189 @t190))) % 6.40/6.63 (step-pop @p119 :rule scope :premises (@p113)) % 6.40/6.63 (step @p114 :rule process_scope :premises (@p119) :args (@t200)) % 6.40/6.63 (step @p116 :rule implies_elim :premises (@p114)) % 6.40/6.63 (step @p117 false :rule chain_m_resolution :premises (@p116 @p111 @p52) :args (false (@list true false) (@list @t200 @t111))) % 6.40/6.63 ) % 6.40/6.64 % SZS output end Proof % 6.40/6.64 % cvc5 exiting %------------------------------------------------------------------------------