%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN690-1 : 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 : n005.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 09:09:39 AM UTC 2026 % Result : Unsatisfiable 1.01s 1.26s % Output : Proof 1.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN690-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n005.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:33:48 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.01/1.26 % SZS status Unsatisfiable % 1.01/1.26 % SZS output start Proof % 1.01/1.26 ( % 1.01/1.26 (declare-sort $$unsorted 0) % 1.01/1.26 (declare-const tptp.c44 $$unsorted) % 1.01/1.26 (declare-const tptp.c42 $$unsorted) % 1.01/1.26 (declare-const tptp.c46 $$unsorted) % 1.01/1.26 (declare-const tptp.f18 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.26 (declare-const tptp.c43 $$unsorted) % 1.01/1.26 (declare-const tptp.c41 $$unsorted) % 1.01/1.26 (declare-const tptp.f12 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.26 (declare-const tptp.f32 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.26 (declare-const tptp.f26 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.26 (declare-const tptp.f16 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.26 (declare-const tptp.p21 (-> $$unsorted $$unsorted Bool)) % 1.01/1.26 (declare-const tptp.p23 (-> $$unsorted $$unsorted Bool)) % 1.01/1.26 (declare-const tptp.p25 (-> $$unsorted $$unsorted Bool)) % 1.01/1.26 (declare-const tptp.f14 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.26 (declare-const tptp.p27 (-> $$unsorted $$unsorted Bool)) % 1.01/1.26 (declare-const tptp.p11 (-> $$unsorted $$unsorted Bool)) % 1.01/1.26 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.26 (declare-const tptp.p31 (-> $$unsorted $$unsorted Bool)) % 1.01/1.26 (declare-const tptp.c47 $$unsorted) % 1.01/1.26 (declare-const tptp.p33 (-> $$unsorted $$unsorted Bool)) % 1.01/1.26 (declare-const tptp.p4 (-> $$unsorted $$unsorted Bool)) % 1.01/1.26 (declare-const tptp.p35 (-> $$unsorted $$unsorted Bool)) % 1.01/1.26 (declare-const tptp.p6 (-> $$unsorted $$unsorted Bool)) % 1.01/1.26 (declare-const tptp.p8 (-> $$unsorted $$unsorted Bool)) % 1.01/1.26 (declare-const tptp.c45 $$unsorted) % 1.01/1.26 (declare-const tptp.p9 (-> $$unsorted $$unsorted Bool)) % 1.01/1.26 (declare-const tptp.p34 (-> $$unsorted $$unsorted Bool)) % 1.01/1.26 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 1.01/1.26 (declare-const tptp.p3 (-> $$unsorted $$unsorted Bool)) % 1.01/1.26 (declare-const tptp.c38 $$unsorted) % 1.01/1.26 (declare-const tptp.p19 (-> $$unsorted $$unsorted Bool)) % 1.01/1.26 (declare-const tptp.p29 (-> $$unsorted $$unsorted Bool)) % 1.01/1.26 (declare-const tptp.f5 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.26 (declare-const tptp.f24 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.26 (declare-const tptp.f20 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.26 (declare-const tptp.p17 (-> $$unsorted $$unsorted Bool)) % 1.01/1.26 (declare-const tptp.p15 (-> $$unsorted $$unsorted Bool)) % 1.01/1.26 (declare-const tptp.c48 $$unsorted) % 1.01/1.26 (declare-const tptp.p13 (-> $$unsorted $$unsorted Bool)) % 1.01/1.26 (declare-const tptp.f30 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.26 (declare-const tptp.c37 $$unsorted) % 1.01/1.26 (declare-const tptp.f28 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.26 (declare-const tptp.f22 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.26 (declare-const tptp.c36 $$unsorted) % 1.01/1.26 (declare-const tptp.c40 $$unsorted) % 1.01/1.26 (declare-const tptp.c39 $$unsorted) % 1.01/1.26 (declare-const tptp.f7 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.26 (define @t1 () (@var "X0" $$unsorted)) % 1.01/1.26 (define @t2 () (@var "X125" $$unsorted)) % 1.01/1.26 (define @t3 () (@var "X122" $$unsorted)) % 1.01/1.26 (define @t4 () (@var "X119" $$unsorted)) % 1.01/1.26 (define @t5 () (@var "X106" $$unsorted)) % 1.01/1.26 (define @t6 () (@var "X92" $$unsorted)) % 1.01/1.26 (define @t7 () (@var "X89" $$unsorted)) % 1.01/1.26 (define @t8 () (@var "X74" $$unsorted)) % 1.01/1.26 (define @t9 () (@var "X67" $$unsorted)) % 1.01/1.26 (define @t10 () (@var "X64" $$unsorted)) % 1.01/1.26 (define @t11 () (@var "X57" $$unsorted)) % 1.01/1.26 (define @t12 () (@var "X54" $$unsorted)) % 1.01/1.26 (define @t13 () (@var "X47" $$unsorted)) % 1.01/1.26 (define @t14 () (@var "X36" $$unsorted)) % 1.01/1.26 (define @t15 () (@var "X24" $$unsorted)) % 1.01/1.26 (define @t16 () (@var "X17" $$unsorted)) % 1.01/1.26 (define @t17 () (@var "X14" $$unsorted)) % 1.01/1.26 (define @t18 () (@var "X7" $$unsorted)) % 1.01/1.26 (define @t19 () (tptp.p34 tptp.c36 tptp.c37)) % 1.01/1.26 (define @t20 () (tptp.p2 tptp.c38 tptp.c40)) % 1.01/1.26 (define @t21 () (@var "X114" $$unsorted)) % 1.01/1.26 (define @t22 () (tptp.f7 tptp.c39 tptp.c40)) % 1.01/1.26 (define @t23 () (@var "X113" $$unsorted)) % 1.01/1.26 (define @t24 () (tptp.f7 tptp.c39 tptp.c38)) % 1.01/1.26 (define @t25 () (@var "X2" $$unsorted)) % 1.01/1.26 (define @t26 () (@var "X1" $$unsorted)) % 1.01/1.26 (define @t27 () (@var "X127" $$unsorted)) % 1.01/1.26 (define @t28 () (@var "X126" $$unsorted)) % 1.01/1.26 (define @t29 () (@var "X124" $$unsorted)) % 1.01/1.26 (define @t30 () (@var "X123" $$unsorted)) % 1.01/1.26 (define @t31 () (@var "X121" $$unsorted)) % 1.01/1.26 (define @t32 () (@var "X120" $$unsorted)) % 1.01/1.26 (define @t33 () (@var "X108" $$unsorted)) % 1.01/1.26 (define @t34 () (@var "X107" $$unsorted)) % 1.01/1.26 (define @t35 () (@var "X94" $$unsorted)) % 1.01/1.26 (define @t36 () (@var "X93" $$unsorted)) % 1.01/1.26 (define @t37 () (@var "X91" $$unsorted)) % 1.01/1.26 (define @t38 () (@var "X90" $$unsorted)) % 1.01/1.26 (define @t39 () (@var "X76" $$unsorted)) % 1.01/1.26 (define @t40 () (@var "X75" $$unsorted)) % 1.01/1.26 (define @t41 () (@var "X69" $$unsorted)) % 1.01/1.26 (define @t42 () (@var "X68" $$unsorted)) % 1.01/1.26 (define @t43 () (@var "X66" $$unsorted)) % 1.01/1.26 (define @t44 () (@var "X65" $$unsorted)) % 1.01/1.26 (define @t45 () (@var "X59" $$unsorted)) % 1.01/1.26 (define @t46 () (@var "X58" $$unsorted)) % 1.01/1.26 (define @t47 () (@var "X56" $$unsorted)) % 1.01/1.26 (define @t48 () (@var "X55" $$unsorted)) % 1.01/1.26 (define @t49 () (@var "X49" $$unsorted)) % 1.01/1.26 (define @t50 () (@var "X48" $$unsorted)) % 1.01/1.26 (define @t51 () (@var "X38" $$unsorted)) % 1.01/1.26 (define @t52 () (@var "X37" $$unsorted)) % 1.01/1.26 (define @t53 () (forall (@list @t52 @t51 @t14) (or (tptp.p2 @t52 @t51) (not (tptp.p2 @t14 @t52)) (not (tptp.p2 @t14 @t51))))) % 1.01/1.26 (define @t54 () (@var "X26" $$unsorted)) % 1.01/1.26 (define @t55 () (@var "X25" $$unsorted)) % 1.01/1.26 (define @t56 () (@var "X19" $$unsorted)) % 1.01/1.26 (define @t57 () (@var "X18" $$unsorted)) % 1.01/1.26 (define @t58 () (@var "X16" $$unsorted)) % 1.01/1.26 (define @t59 () (@var "X15" $$unsorted)) % 1.01/1.26 (define @t60 () (@var "X9" $$unsorted)) % 1.01/1.26 (define @t61 () (@var "X8" $$unsorted)) % 1.01/1.26 (define @t62 () (@var "X95" $$unsorted)) % 1.01/1.26 (define @t63 () (@var "X97" $$unsorted)) % 1.01/1.26 (define @t64 () (@var "X96" $$unsorted)) % 1.01/1.26 (define @t65 () (@var "X98" $$unsorted)) % 1.01/1.26 (define @t66 () (@var "X100" $$unsorted)) % 1.01/1.26 (define @t67 () (@var "X101" $$unsorted)) % 1.01/1.26 (define @t68 () (@var "X99" $$unsorted)) % 1.01/1.26 (define @t69 () (@var "X102" $$unsorted)) % 1.01/1.26 (define @t70 () (@var "X130" $$unsorted)) % 1.01/1.26 (define @t71 () (@var "X128" $$unsorted)) % 1.01/1.26 (define @t72 () (@var "X131" $$unsorted)) % 1.01/1.26 (define @t73 () (@var "X129" $$unsorted)) % 1.01/1.26 (define @t74 () (@var "X6" $$unsorted)) % 1.01/1.26 (define @t75 () (@var "X4" $$unsorted)) % 1.01/1.26 (define @t76 () (@var "X5" $$unsorted)) % 1.01/1.26 (define @t77 () (@var "X3" $$unsorted)) % 1.01/1.26 (define @t78 () (@var "X13" $$unsorted)) % 1.01/1.26 (define @t79 () (@var "X11" $$unsorted)) % 1.01/1.26 (define @t80 () (@var "X12" $$unsorted)) % 1.01/1.26 (define @t81 () (@var "X10" $$unsorted)) % 1.01/1.26 (define @t82 () (@var "X23" $$unsorted)) % 1.01/1.26 (define @t83 () (@var "X21" $$unsorted)) % 1.01/1.26 (define @t84 () (@var "X22" $$unsorted)) % 1.01/1.26 (define @t85 () (@var "X20" $$unsorted)) % 1.01/1.26 (define @t86 () (@var "X30" $$unsorted)) % 1.01/1.26 (define @t87 () (@var "X28" $$unsorted)) % 1.01/1.26 (define @t88 () (@var "X29" $$unsorted)) % 1.01/1.26 (define @t89 () (@var "X27" $$unsorted)) % 1.01/1.26 (define @t90 () (@var "X42" $$unsorted)) % 1.01/1.26 (define @t91 () (@var "X40" $$unsorted)) % 1.01/1.26 (define @t92 () (@var "X41" $$unsorted)) % 1.01/1.26 (define @t93 () (@var "X39" $$unsorted)) % 1.01/1.26 (define @t94 () (@var "X45" $$unsorted)) % 1.01/1.26 (define @t95 () (@var "X43" $$unsorted)) % 1.01/1.26 (define @t96 () (@var "X46" $$unsorted)) % 1.01/1.26 (define @t97 () (@var "X44" $$unsorted)) % 1.01/1.26 (define @t98 () (@var "X53" $$unsorted)) % 1.01/1.26 (define @t99 () (@var "X51" $$unsorted)) % 1.01/1.26 (define @t100 () (@var "X52" $$unsorted)) % 1.01/1.26 (define @t101 () (@var "X50" $$unsorted)) % 1.01/1.26 (define @t102 () (@var "X63" $$unsorted)) % 1.01/1.26 (define @t103 () (@var "X61" $$unsorted)) % 1.01/1.26 (define @t104 () (@var "X62" $$unsorted)) % 1.01/1.26 (define @t105 () (@var "X60" $$unsorted)) % 1.01/1.26 (define @t106 () (@var "X73" $$unsorted)) % 1.01/1.26 (define @t107 () (@var "X71" $$unsorted)) % 1.01/1.26 (define @t108 () (@var "X72" $$unsorted)) % 1.01/1.26 (define @t109 () (@var "X70" $$unsorted)) % 1.01/1.26 (define @t110 () (@var "X80" $$unsorted)) % 1.01/1.26 (define @t111 () (@var "X78" $$unsorted)) % 1.01/1.26 (define @t112 () (@var "X79" $$unsorted)) % 1.01/1.26 (define @t113 () (@var "X77" $$unsorted)) % 1.01/1.26 (define @t114 () (@var "X84" $$unsorted)) % 1.01/1.26 (define @t115 () (@var "X82" $$unsorted)) % 1.01/1.26 (define @t116 () (@var "X83" $$unsorted)) % 1.01/1.26 (define @t117 () (@var "X81" $$unsorted)) % 1.01/1.26 (define @t118 () (@var "X88" $$unsorted)) % 1.01/1.26 (define @t119 () (@var "X86" $$unsorted)) % 1.01/1.26 (define @t120 () (@var "X87" $$unsorted)) % 1.01/1.26 (define @t121 () (@var "X85" $$unsorted)) % 1.01/1.26 (define @t122 () (@var "X112" $$unsorted)) % 1.01/1.26 (define @t123 () (@var "X110" $$unsorted)) % 1.01/1.26 (define @t124 () (@var "X111" $$unsorted)) % 1.01/1.26 (define @t125 () (@var "X109" $$unsorted)) % 1.01/1.26 (define @t126 () (@var "X105" $$unsorted)) % 1.01/1.26 (define @t127 () (@var "X104" $$unsorted)) % 1.01/1.26 (define @t128 () (@var "X103" $$unsorted)) % 1.01/1.26 (define @t129 () (tptp.f12 (tptp.f14 (tptp.f16 tptp.c41 @t128) @t127) @t126)) % 1.01/1.26 (define @t130 () (tptp.p4 (tptp.f5 (tptp.f7 tptp.c39 @t128) @t126) (tptp.f5 (tptp.f7 tptp.c39 @t127) @t126))) % 1.01/1.26 (define @t131 () (@list @t128 @t126 @t127)) % 1.01/1.26 (define @t132 () (@var "X116" $$unsorted)) % 1.01/1.26 (define @t133 () (@var "X115" $$unsorted)) % 1.01/1.26 (define @t134 () (tptp.f30 (tptp.f32 tptp.c46 @t133) @t132)) % 1.01/1.26 (define @t135 () (@var "X117" $$unsorted)) % 1.01/1.26 (define @t136 () (not (tptp.p34 tptp.c36 @t133))) % 1.01/1.26 (define @t137 () (@var "X118" $$unsorted)) % 1.01/1.26 (define @t138 () (tptp.f26 (tptp.f28 tptp.c47 @t133) @t132)) % 1.01/1.26 (define @t139 () (tptp.f7 @t132 @t138)) % 1.01/1.26 (define @t140 () (tptp.p4 (tptp.f5 @t138 @t137) (tptp.f5 @t139 @t137))) % 1.01/1.26 (define @t141 () (tptp.f26 (tptp.f28 tptp.c48 @t133) @t132)) % 1.01/1.26 (define @t142 () (@var "X32" $$unsorted)) % 1.01/1.26 (define @t143 () (@var "X31" $$unsorted)) % 1.01/1.26 (define @t144 () (@var "X34" $$unsorted)) % 1.01/1.26 (define @t145 () (@var "X33" $$unsorted)) % 1.01/1.26 (define @t146 () (tptp.f18 (tptp.f20 (tptp.f22 (tptp.f24 tptp.c45 @t145) @t144) @t143) @t142)) % 1.01/1.26 (define @t147 () (not (tptp.p4 (tptp.f5 @t142 @t146) (tptp.f5 (tptp.f7 @t144 @t142) @t146)))) % 1.01/1.26 (define @t148 () (not (tptp.p4 (tptp.f5 @t143 @t146) (tptp.f5 (tptp.f7 @t144 @t143) @t146)))) % 1.01/1.26 (define @t149 () (tptp.f30 (tptp.f32 tptp.c42 @t145) @t144)) % 1.01/1.26 (define @t150 () (@var "X35" $$unsorted)) % 1.01/1.26 (define @t151 () (not (tptp.p34 tptp.c36 @t145))) % 1.01/1.26 (define @t152 () (tptp.f26 (tptp.f28 tptp.c44 @t145) @t144)) % 1.01/1.26 (define @t153 () (tptp.f26 (tptp.f28 tptp.c43 @t145) @t144)) % 1.01/1.26 (define @t154 () (tptp.p2 @t143 @t142)) % 1.01/1.26 (define @t155 () (tptp.f30 (tptp.f32 tptp.c42 tptp.c37) tptp.c39)) % 1.01/1.26 (define @t156 () (tptp.f26 (tptp.f28 tptp.c44 tptp.c37) tptp.c39)) % 1.01/1.26 (define @t157 () (tptp.f26 (tptp.f28 tptp.c43 tptp.c37) tptp.c39)) % 1.01/1.26 (define @t158 () (tptp.f12 (tptp.f14 (tptp.f16 tptp.c41 @t157) @t156) @t155)) % 1.01/1.26 (define @t159 () (tptp.f22 (tptp.f24 tptp.c45 tptp.c37) tptp.c39)) % 1.01/1.26 (define @t160 () (tptp.f18 (tptp.f20 @t159 tptp.c40) tptp.c38)) % 1.01/1.26 (define @t161 () (@list @t160)) % 1.01/1.26 (define @t162 () (@list @t157 @t155 @t156)) % 1.01/1.26 (define @t163 () (tptp.f18 (tptp.f20 @t159 tptp.c38) tptp.c40)) % 1.01/1.26 (define @t164 () (@list @t163)) % 1.01/1.26 (define @t165 () (tptp.p4 (tptp.f5 (tptp.f7 tptp.c39 @t157) @t155) (tptp.f5 (tptp.f7 tptp.c39 @t156) @t155))) % 1.01/1.26 (define @t166 () (not @t165)) % 1.01/1.26 (define @t167 () (tptp.p4 (tptp.f5 tptp.c40 @t163) (tptp.f5 @t22 @t163))) % 1.01/1.26 (define @t168 () (not @t167)) % 1.01/1.26 (define @t169 () (tptp.p4 (tptp.f5 tptp.c38 @t163) (tptp.f5 @t24 @t163))) % 1.01/1.26 (define @t170 () (not @t169)) % 1.01/1.26 (define @t171 () (not @t19)) % 1.01/1.26 (define @t172 () (or @t20 @t171 @t170 @t168 @t166)) % 1.01/1.26 (define @t173 () (tptp.p35 (tptp.f10 tptp.c37 @t158) @t155)) % 1.01/1.26 (define @t174 () (or @t165 @t173)) % 1.01/1.26 (define @t175 () (@list true false)) % 1.01/1.26 (define @t176 () (tptp.p4 (tptp.f5 @t157 @t158) (tptp.f5 @t156 @t158))) % 1.01/1.26 (define @t177 () (not @t176)) % 1.01/1.26 (define @t178 () (or @t165 @t177)) % 1.01/1.26 (define @t179 () (tptp.p4 (tptp.f5 tptp.c38 @t160) (tptp.f5 @t24 @t160))) % 1.01/1.26 (define @t180 () (not @t179)) % 1.01/1.26 (define @t181 () (tptp.p4 (tptp.f5 tptp.c40 @t160) (tptp.f5 @t22 @t160))) % 1.01/1.26 (define @t182 () (not @t181)) % 1.01/1.26 (define @t183 () (not @t173)) % 1.01/1.26 (define @t184 () (tptp.p2 tptp.c40 tptp.c38)) % 1.01/1.26 (define @t185 () (or @t184 @t176 @t171 @t183 @t182 @t180)) % 1.01/1.26 (define @t186 () (tptp.p2 tptp.c40 tptp.c40)) % 1.01/1.26 (define @t187 () (not @t186)) % 1.01/1.26 (define @t188 () (not @t184)) % 1.01/1.26 (define @t189 () (or @t20 @t188 @t187)) % 1.01/1.26 (define @t190 () (not @t189)) % 1.01/1.26 (assume @p1 (forall (@list @t1) (tptp.p11 @t1 @t1))) % 1.01/1.26 (assume @p2 (forall (@list @t2) (tptp.p9 @t2 @t2))) % 1.01/1.26 (assume @p3 (forall (@list @t3) (tptp.p8 @t3 @t3))) % 1.01/1.26 (assume @p4 (forall (@list @t4) (tptp.p6 @t4 @t4))) % 1.01/1.26 (assume @p5 (forall (@list @t5) (tptp.p4 @t5 @t5))) % 1.01/1.26 (assume @p6 (forall (@list @t6) (tptp.p33 @t6 @t6))) % 1.01/1.26 (assume @p7 (forall (@list @t7) (tptp.p31 @t7 @t7))) % 1.01/1.26 (assume @p8 (forall (@list @t8) (tptp.p3 @t8 @t8))) % 1.01/1.26 (assume @p9 (forall (@list @t9) (tptp.p29 @t9 @t9))) % 1.01/1.26 (assume @p10 (forall (@list @t10) (tptp.p27 @t10 @t10))) % 1.01/1.26 (assume @p11 (forall (@list @t11) (tptp.p25 @t11 @t11))) % 1.01/1.26 (assume @p12 (forall (@list @t12) (tptp.p23 @t12 @t12))) % 1.01/1.26 (assume @p13 (forall (@list @t13) (tptp.p21 @t13 @t13))) % 1.01/1.26 (assume @p14 (forall (@list @t14) (tptp.p2 @t14 @t14))) % 1.01/1.26 (assume @p15 (forall (@list @t15) (tptp.p19 @t15 @t15))) % 1.01/1.26 (assume @p16 (forall (@list @t16) (tptp.p17 @t16 @t16))) % 1.01/1.26 (assume @p17 (forall (@list @t17) (tptp.p15 @t17 @t17))) % 1.01/1.26 (assume @p18 (forall (@list @t18) (tptp.p13 @t18 @t18))) % 1.01/1.26 (assume @p19 @t19) % 1.01/1.26 (assume @p20 (not @t20)) % 1.01/1.26 (assume @p21 (forall (@list @t21) (tptp.p4 (tptp.f5 tptp.c40 @t21) (tptp.f5 @t22 @t21)))) % 1.01/1.26 (assume @p22 (forall (@list @t23) (tptp.p4 (tptp.f5 tptp.c38 @t23) (tptp.f5 @t24 @t23)))) % 1.01/1.26 (assume @p23 (forall (@list @t26 @t25 @t1) (or (tptp.p11 @t26 @t25) (not (tptp.p11 @t1 @t26)) (not (tptp.p11 @t1 @t25))))) % 1.01/1.26 (assume @p24 (forall (@list @t28 @t27 @t2) (or (tptp.p9 @t28 @t27) (not (tptp.p9 @t2 @t28)) (not (tptp.p9 @t2 @t27))))) % 1.01/1.26 (assume @p25 (forall (@list @t30 @t29 @t3) (or (tptp.p8 @t30 @t29) (not (tptp.p8 @t3 @t30)) (not (tptp.p8 @t3 @t29))))) % 1.01/1.26 (assume @p26 (forall (@list @t32 @t31 @t4) (or (tptp.p6 @t32 @t31) (not (tptp.p6 @t4 @t32)) (not (tptp.p6 @t4 @t31))))) % 1.01/1.26 (assume @p27 (forall (@list @t34 @t33 @t5) (or (tptp.p4 @t34 @t33) (not (tptp.p4 @t5 @t34)) (not (tptp.p4 @t5 @t33))))) % 1.01/1.26 (assume @p28 (forall (@list @t36 @t35 @t6) (or (tptp.p33 @t36 @t35) (not (tptp.p33 @t6 @t36)) (not (tptp.p33 @t6 @t35))))) % 1.01/1.26 (assume @p29 (forall (@list @t38 @t37 @t7) (or (tptp.p31 @t38 @t37) (not (tptp.p31 @t7 @t38)) (not (tptp.p31 @t7 @t37))))) % 1.01/1.26 (assume @p30 (forall (@list @t40 @t39 @t8) (or (tptp.p3 @t40 @t39) (not (tptp.p3 @t8 @t40)) (not (tptp.p3 @t8 @t39))))) % 1.01/1.26 (assume @p31 (forall (@list @t42 @t41 @t9) (or (tptp.p29 @t42 @t41) (not (tptp.p29 @t9 @t42)) (not (tptp.p29 @t9 @t41))))) % 1.01/1.26 (assume @p32 (forall (@list @t44 @t43 @t10) (or (tptp.p27 @t44 @t43) (not (tptp.p27 @t10 @t44)) (not (tptp.p27 @t10 @t43))))) % 1.01/1.26 (assume @p33 (forall (@list @t46 @t45 @t11) (or (tptp.p25 @t46 @t45) (not (tptp.p25 @t11 @t46)) (not (tptp.p25 @t11 @t45))))) % 1.01/1.26 (assume @p34 (forall (@list @t48 @t47 @t12) (or (tptp.p23 @t48 @t47) (not (tptp.p23 @t12 @t48)) (not (tptp.p23 @t12 @t47))))) % 1.01/1.26 (assume @p35 (forall (@list @t50 @t49 @t13) (or (tptp.p21 @t50 @t49) (not (tptp.p21 @t13 @t50)) (not (tptp.p21 @t13 @t49))))) % 1.01/1.26 (assume @p36 @t53) % 1.01/1.26 (assume @p37 (forall (@list @t55 @t54 @t15) (or (tptp.p19 @t55 @t54) (not (tptp.p19 @t15 @t55)) (not (tptp.p19 @t15 @t54))))) % 1.01/1.26 (assume @p38 (forall (@list @t57 @t56 @t16) (or (tptp.p17 @t57 @t56) (not (tptp.p17 @t16 @t57)) (not (tptp.p17 @t16 @t56))))) % 1.01/1.26 (assume @p39 (forall (@list @t59 @t58 @t17) (or (tptp.p15 @t59 @t58) (not (tptp.p15 @t17 @t59)) (not (tptp.p15 @t17 @t58))))) % 1.01/1.26 (assume @p40 (forall (@list @t61 @t60 @t18) (or (tptp.p13 @t61 @t60) (not (tptp.p13 @t18 @t61)) (not (tptp.p13 @t18 @t60))))) % 1.01/1.26 (assume @p41 (forall (@list @t62 @t64 @t63 @t65) (or (tptp.p34 @t62 @t64) (not (tptp.p34 @t63 @t65)) (not (tptp.p8 @t65 @t64)) (not (tptp.p33 @t63 @t62))))) % 1.01/1.26 (assume @p42 (forall (@list @t68 @t66 @t69 @t67) (or (tptp.p35 @t68 @t66) (not (tptp.p35 @t69 @t67)) (not (tptp.p9 @t69 @t68)) (not (tptp.p3 @t67 @t66))))) % 1.01/1.26 (assume @p43 (forall (@list @t71 @t73 @t70 @t72) (or (tptp.p9 (tptp.f10 @t71 @t73) (tptp.f10 @t70 @t72)) (not (tptp.p3 @t73 @t72)) (not (tptp.p8 @t71 @t70))))) % 1.01/1.26 (assume @p44 (forall (@list @t77 @t75 @t76 @t74) (or (tptp.p11 (tptp.f14 @t77 @t75) (tptp.f14 @t76 @t74)) (not (tptp.p13 @t77 @t76)) (not (tptp.p2 @t75 @t74))))) % 1.01/1.26 (assume @p45 (forall (@list @t81 @t79 @t80 @t78) (or (tptp.p13 (tptp.f16 @t81 @t79) (tptp.f16 @t80 @t78)) (not (tptp.p15 @t81 @t80)) (not (tptp.p2 @t79 @t78))))) % 1.01/1.26 (assume @p46 (forall (@list @t85 @t83 @t84 @t82) (or (tptp.p17 (tptp.f20 @t85 @t83) (tptp.f20 @t84 @t82)) (not (tptp.p19 @t85 @t84)) (not (tptp.p2 @t83 @t82))))) % 1.01/1.26 (assume @p47 (forall (@list @t89 @t87 @t88 @t86) (or (tptp.p19 (tptp.f22 @t89 @t87) (tptp.f22 @t88 @t86)) (not (tptp.p21 @t89 @t88)) (not (tptp.p6 @t87 @t86))))) % 1.01/1.26 (assume @p48 (forall (@list @t93 @t91 @t92 @t90) (or (tptp.p2 (tptp.f26 @t93 @t91) (tptp.f26 @t92 @t90)) (not (tptp.p25 @t93 @t92)) (not (tptp.p6 @t91 @t90))))) % 1.01/1.26 (assume @p49 (forall (@list @t95 @t97 @t94 @t96) (or (tptp.p2 (tptp.f7 @t95 @t97) (tptp.f7 @t94 @t96)) (not (tptp.p2 @t97 @t96)) (not (tptp.p6 @t95 @t94))))) % 1.01/1.26 (assume @p50 (forall (@list @t101 @t99 @t100 @t98) (or (tptp.p21 (tptp.f24 @t101 @t99) (tptp.f24 @t100 @t98)) (not (tptp.p23 @t101 @t100)) (not (tptp.p8 @t99 @t98))))) % 1.01/1.26 (assume @p51 (forall (@list @t105 @t103 @t104 @t102) (or (tptp.p25 (tptp.f28 @t105 @t103) (tptp.f28 @t104 @t102)) (not (tptp.p27 @t105 @t104)) (not (tptp.p8 @t103 @t102))))) % 1.01/1.26 (assume @p52 (forall (@list @t109 @t107 @t108 @t106) (or (tptp.p29 (tptp.f32 @t109 @t107) (tptp.f32 @t108 @t106)) (not (tptp.p31 @t109 @t108)) (not (tptp.p8 @t107 @t106))))) % 1.01/1.26 (assume @p53 (forall (@list @t113 @t111 @t112 @t110) (or (tptp.p3 (tptp.f12 @t113 @t111) (tptp.f12 @t112 @t110)) (not (tptp.p11 @t113 @t112)) (not (tptp.p3 @t111 @t110))))) % 1.01/1.26 (assume @p54 (forall (@list @t117 @t115 @t116 @t114) (or (tptp.p3 (tptp.f18 @t117 @t115) (tptp.f18 @t116 @t114)) (not (tptp.p17 @t117 @t116)) (not (tptp.p2 @t115 @t114))))) % 1.01/1.26 (assume @p55 (forall (@list @t121 @t119 @t120 @t118) (or (tptp.p3 (tptp.f30 @t121 @t119) (tptp.f30 @t120 @t118)) (not (tptp.p29 @t121 @t120)) (not (tptp.p6 @t119 @t118))))) % 1.01/1.26 (assume @p56 (forall (@list @t125 @t123 @t124 @t122) (or (tptp.p4 (tptp.f5 @t125 @t123) (tptp.f5 @t124 @t122)) (not (tptp.p2 @t125 @t124)) (not (tptp.p3 @t123 @t122))))) % 1.01/1.26 (assume @p57 (forall @t131 (or @t130 (tptp.p35 (tptp.f10 tptp.c37 @t129) @t126)))) % 1.01/1.26 (assume @p58 (forall @t131 (or @t130 (not (tptp.p4 (tptp.f5 @t128 @t129) (tptp.f5 @t127 @t129)))))) % 1.01/1.26 (assume @p59 (forall (@list @t133 @t132 @t135 @t137) (or (tptp.p4 (tptp.f5 @t138 @t135) (tptp.f5 @t141 @t135)) @t140 @t136 (not (tptp.p35 (tptp.f10 @t133 @t135) @t134))))) % 1.01/1.26 (assume @p60 (forall (@list @t133 @t132 @t137) (or @t140 @t136 (not (tptp.p4 (tptp.f5 @t139 @t134) (tptp.f5 (tptp.f7 @t132 @t141) @t134)))))) % 1.01/1.26 (assume @p61 (forall (@list @t143 @t142 @t145 @t144 @t150) (or @t154 (tptp.p4 (tptp.f5 @t153 @t150) (tptp.f5 @t152 @t150)) @t151 (not (tptp.p35 (tptp.f10 @t145 @t150) @t149)) @t148 @t147))) % 1.01/1.26 (assume @p62 (forall (@list @t143 @t142 @t145 @t144) (or @t154 @t151 @t148 @t147 (not (tptp.p4 (tptp.f5 (tptp.f7 @t144 @t153) @t149) (tptp.f5 (tptp.f7 @t144 @t152) @t149)))))) % 1.01/1.26 (step @p63 :rule instantiate :premises (@p61) :args ((@list tptp.c40 tptp.c38 tptp.c37 tptp.c39 @t158))) % 1.01/1.26 (step @p64 :rule instantiate :premises (@p22) :args (@t161)) % 1.01/1.26 (step @p65 :rule instantiate :premises (@p21) :args (@t161)) % 1.01/1.26 (step @p66 :rule instantiate :premises (@p57) :args (@t162)) % 1.01/1.26 (step @p67 :rule instantiate :premises (@p62) :args ((@list tptp.c38 tptp.c40 tptp.c37 tptp.c39))) % 1.01/1.26 (step @p68 :rule instantiate :premises (@p21) :args (@t164)) % 1.01/1.26 (step @p69 :rule instantiate :premises (@p22) :args (@t164)) % 1.01/1.26 (step @p70 :rule cnf_or_pos :args (@t172)) % 1.01/1.26 (step @p71 :rule reordering :premises (@p70) :args ((or @t20 @t171 @t166 @t170 @t168 (not @t172)))) % 1.01/1.26 (step @p72 :rule chain_m_resolution :premises (@p71 @p20 @p19 @p69 @p68 @p67) :args (@t166 (@list true false false false false) (@list @t20 @t19 @t169 @t167 @t172))) % 1.01/1.26 (step @p73 :rule cnf_or_pos :args (@t174)) % 1.01/1.26 (step @p74 :rule reordering :premises (@p73) :args ((or @t165 @t173 (not @t174)))) % 1.01/1.26 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p66) :args (@t173 @t175 (@list @t165 @t174))) % 1.01/1.26 (step @p76 :rule instantiate :premises (@p58) :args (@t162)) % 1.01/1.26 (step @p77 :rule cnf_or_pos :args (@t178)) % 1.01/1.26 (step @p78 :rule reordering :premises (@p77) :args ((or @t165 @t177 (not @t178)))) % 1.01/1.26 (step @p79 :rule chain_m_resolution :premises (@p78 @p72 @p76) :args (@t177 @t175 (@list @t165 @t178))) % 1.01/1.26 (step @p80 :rule cnf_or_pos :args (@t185)) % 1.01/1.26 (step @p81 :rule reordering :premises (@p80) :args ((or @t171 @t176 @t183 @t184 @t182 @t180 (not @t185)))) % 1.01/1.26 (step @p82 :rule chain_m_resolution :premises (@p81 @p19 @p79 @p75 @p65 @p64 @p63) :args (@t184 (@list false true false false false false) (@list @t19 @t176 @t173 @t181 @t179 @t185))) % 1.01/1.26 (step @p83 :rule instantiate :premises (@p14) :args ((@list tptp.c40))) % 1.01/1.26 (step @p84 :rule cnf_or_pos :args (@t189)) % 1.01/1.26 (step @p85 :rule reordering :premises (@p84) :args ((or @t20 @t187 @t188 @t190))) % 1.01/1.26 (step @p86 :rule chain_m_resolution :premises (@p85 @p20 @p83 @p82) :args (@t190 (@list true false false) (@list @t20 @t186 @t184))) % 1.01/1.26 (assume-push @p93 @t53) % 1.01/1.26 (step @p88 :rule instantiate :premises (@p36) :args ((@list tptp.c38 tptp.c40 tptp.c40))) % 1.01/1.26 (step-pop @p94 :rule scope :premises (@p88)) % 1.01/1.26 (step @p89 :rule process_scope :premises (@p94) :args (@t189)) % 1.01/1.26 (step @p91 :rule implies_elim :premises (@p89)) % 1.01/1.26 (step @p92 false :rule chain_m_resolution :premises (@p91 @p86 @p36) :args (false @t175 (@list @t189 @t53))) % 1.01/1.26 ) % 1.01/1.27 % SZS output end Proof % 1.01/1.27 % cvc5 exiting %------------------------------------------------------------------------------