%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN698-1 : 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 09:09:40 AM UTC 2026 % Result : Unsatisfiable 0.53s 0.70s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN698-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:33:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.70 % SZS status Unsatisfiable % 0.53/0.70 % SZS output start Proof % 0.53/0.70 ( % 0.53/0.70 (declare-sort $$unsorted 0) % 0.53/0.70 (declare-const tptp.f19 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.p27 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.p33 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.p26 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.p32 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.f22 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.f15 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.c35 $$unsorted) % 0.53/0.70 (declare-const tptp.f9 (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.c37 $$unsorted) % 0.53/0.70 (declare-const tptp.p10 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.f16 (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.c48 $$unsorted) % 0.53/0.70 (declare-const tptp.c38 $$unsorted) % 0.53/0.70 (declare-const tptp.c45 $$unsorted) % 0.53/0.70 (declare-const tptp.p30 (-> $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.f18 (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.p25 (-> $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.f20 (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.c34 $$unsorted) % 0.53/0.70 (declare-const tptp.c43 $$unsorted) % 0.53/0.70 (declare-const tptp.p6 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.f13 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.f24 (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.c39 $$unsorted) % 0.53/0.70 (declare-const tptp.p31 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.p29 (-> $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.c36 $$unsorted) % 0.53/0.70 (declare-const tptp.c40 $$unsorted) % 0.53/0.70 (declare-const tptp.c46 $$unsorted) % 0.53/0.70 (declare-const tptp.f11 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.f8 (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.p7 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.f23 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.p3 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.f4 (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.p21 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.c42 $$unsorted) % 0.53/0.70 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.p17 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.p14 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.c41 $$unsorted) % 0.53/0.70 (declare-const tptp.p12 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.p28 (-> $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.c47 $$unsorted) % 0.53/0.70 (declare-const tptp.c44 $$unsorted) % 0.53/0.70 (declare-const tptp.f5 (-> $$unsorted $$unsorted)) % 0.53/0.70 (define @t1 () (@var "X5" $$unsorted)) % 0.53/0.70 (define @t2 () (@var "X112" $$unsorted)) % 0.53/0.70 (define @t3 () (@var "X109" $$unsorted)) % 0.53/0.70 (define @t4 () (@var "X88" $$unsorted)) % 0.53/0.70 (define @t5 () (@var "X68" $$unsorted)) % 0.53/0.70 (define @t6 () (@var "X43" $$unsorted)) % 0.53/0.70 (define @t7 () (@var "X28" $$unsorted)) % 0.53/0.70 (define @t8 () (@var "X19" $$unsorted)) % 0.53/0.70 (define @t9 () (@var "X12" $$unsorted)) % 0.53/0.70 (define @t10 () (tptp.p2 tptp.c44 tptp.c46)) % 0.53/0.70 (define @t11 () (tptp.f5 tptp.c42)) % 0.53/0.70 (define @t12 () (tptp.f9 tptp.c37)) % 0.53/0.70 (define @t13 () (tptp.f9 (tptp.f20 tptp.c37))) % 0.53/0.70 (define @t14 () (tptp.f23 tptp.c44 @t13)) % 0.53/0.70 (define @t15 () (@var "X79" $$unsorted)) % 0.53/0.70 (define @t16 () (@var "X71" $$unsorted)) % 0.53/0.70 (define @t17 () (@var "X72" $$unsorted)) % 0.53/0.70 (define @t18 () (@var "X93" $$unsorted)) % 0.53/0.70 (define @t19 () (@var "X94" $$unsorted)) % 0.53/0.70 (define @t20 () (@var "X86" $$unsorted)) % 0.53/0.70 (define @t21 () (@var "X87" $$unsorted)) % 0.53/0.70 (define @t22 () (@var "X84" $$unsorted)) % 0.53/0.70 (define @t23 () (@var "X85" $$unsorted)) % 0.53/0.70 (define @t24 () (@var "X116" $$unsorted)) % 0.53/0.70 (define @t25 () (@var "X115" $$unsorted)) % 0.53/0.70 (define @t26 () (@var "X27" $$unsorted)) % 0.53/0.70 (define @t27 () (@var "X26" $$unsorted)) % 0.53/0.70 (define @t28 () (@var "X32" $$unsorted)) % 0.53/0.70 (define @t29 () (@var "X31" $$unsorted)) % 0.53/0.70 (define @t30 () (@var "X57" $$unsorted)) % 0.53/0.70 (define @t31 () (@var "X56" $$unsorted)) % 0.53/0.70 (define @t32 () (@var "X63" $$unsorted)) % 0.53/0.70 (define @t33 () (@var "X62" $$unsorted)) % 0.53/0.70 (define @t34 () (@var "X65" $$unsorted)) % 0.53/0.70 (define @t35 () (@var "X64" $$unsorted)) % 0.53/0.70 (define @t36 () (@var "X67" $$unsorted)) % 0.53/0.70 (define @t37 () (@var "X66" $$unsorted)) % 0.53/0.70 (define @t38 () (@var "X92" $$unsorted)) % 0.53/0.70 (define @t39 () (@var "X91" $$unsorted)) % 0.53/0.70 (define @t40 () (@var "X7" $$unsorted)) % 0.53/0.70 (define @t41 () (@var "X6" $$unsorted)) % 0.53/0.70 (define @t42 () (@var "X114" $$unsorted)) % 0.53/0.70 (define @t43 () (@var "X113" $$unsorted)) % 0.53/0.70 (define @t44 () (@var "X111" $$unsorted)) % 0.53/0.70 (define @t45 () (@var "X110" $$unsorted)) % 0.53/0.70 (define @t46 () (@var "X90" $$unsorted)) % 0.53/0.70 (define @t47 () (@var "X89" $$unsorted)) % 0.53/0.70 (define @t48 () (@var "X70" $$unsorted)) % 0.53/0.70 (define @t49 () (@var "X69" $$unsorted)) % 0.53/0.70 (define @t50 () (@var "X45" $$unsorted)) % 0.53/0.70 (define @t51 () (@var "X44" $$unsorted)) % 0.53/0.70 (define @t52 () (forall (@list @t51 @t50 @t6) (or (tptp.p2 @t51 @t50) (not (tptp.p2 @t6 @t51)) (not (tptp.p2 @t6 @t50))))) % 0.53/0.70 (define @t53 () (@var "X30" $$unsorted)) % 0.53/0.70 (define @t54 () (@var "X29" $$unsorted)) % 0.53/0.70 (define @t55 () (@var "X21" $$unsorted)) % 0.53/0.70 (define @t56 () (@var "X20" $$unsorted)) % 0.53/0.70 (define @t57 () (@var "X14" $$unsorted)) % 0.53/0.70 (define @t58 () (@var "X13" $$unsorted)) % 0.53/0.70 (define @t59 () (tptp.f4 tptp.c42)) % 0.53/0.70 (define @t60 () (tptp.f11 @t59 tptp.c45)) % 0.53/0.70 (define @t61 () (tptp.f4 @t11)) % 0.53/0.70 (define @t62 () (@var "X95" $$unsorted)) % 0.53/0.70 (define @t63 () (not (tptp.p31 @t62 @t11))) % 0.53/0.70 (define @t64 () (not (tptp.p31 @t62 tptp.c44))) % 0.53/0.70 (define @t65 () (tptp.f24 @t62)) % 0.53/0.70 (define @t66 () (@list @t62)) % 0.53/0.70 (define @t67 () (@var "X105" $$unsorted)) % 0.53/0.70 (define @t68 () (@var "X107" $$unsorted)) % 0.53/0.70 (define @t69 () (@var "X108" $$unsorted)) % 0.53/0.70 (define @t70 () (@var "X106" $$unsorted)) % 0.53/0.70 (define @t71 () (@var "X81" $$unsorted)) % 0.53/0.70 (define @t72 () (@var "X82" $$unsorted)) % 0.53/0.70 (define @t73 () (@var "X83" $$unsorted)) % 0.53/0.70 (define @t74 () (@var "X80" $$unsorted)) % 0.53/0.70 (define @t75 () (@var "X96" $$unsorted)) % 0.53/0.70 (define @t76 () (@var "X98" $$unsorted)) % 0.53/0.70 (define @t77 () (@var "X99" $$unsorted)) % 0.53/0.70 (define @t78 () (@var "X97" $$unsorted)) % 0.53/0.70 (define @t79 () (@var "X101" $$unsorted)) % 0.53/0.70 (define @t80 () (@var "X102" $$unsorted)) % 0.53/0.70 (define @t81 () (@var "X103" $$unsorted)) % 0.53/0.70 (define @t82 () (@var "X100" $$unsorted)) % 0.53/0.70 (define @t83 () (tptp.f11 (tptp.f4 tptp.c47) tptp.c48)) % 0.53/0.70 (define @t84 () (tptp.f4 tptp.c44)) % 0.53/0.70 (define @t85 () (tptp.f11 @t84 tptp.c43)) % 0.53/0.70 (define @t86 () (tptp.f11 (tptp.f4 @t14) tptp.c43)) % 0.53/0.70 (define @t87 () (tptp.p2 @t86 @t85)) % 0.53/0.70 (define @t88 () (tptp.f4 tptp.c46)) % 0.53/0.70 (define @t89 () (tptp.f11 @t88 tptp.c43)) % 0.53/0.70 (define @t90 () (tptp.p2 @t89 @t86)) % 0.53/0.70 (define @t91 () (@var "X0" $$unsorted)) % 0.53/0.70 (define @t92 () (@var "X18" $$unsorted)) % 0.53/0.70 (define @t93 () (@var "X16" $$unsorted)) % 0.53/0.70 (define @t94 () (@var "X17" $$unsorted)) % 0.53/0.70 (define @t95 () (@var "X15" $$unsorted)) % 0.53/0.70 (define @t96 () (@var "X61" $$unsorted)) % 0.53/0.70 (define @t97 () (@var "X59" $$unsorted)) % 0.53/0.70 (define @t98 () (@var "X60" $$unsorted)) % 0.53/0.70 (define @t99 () (@var "X58" $$unsorted)) % 0.53/0.70 (define @t100 () (@var "X55" $$unsorted)) % 0.53/0.70 (define @t101 () (@var "X53" $$unsorted)) % 0.53/0.70 (define @t102 () (@var "X54" $$unsorted)) % 0.53/0.70 (define @t103 () (@var "X52" $$unsorted)) % 0.53/0.70 (define @t104 () (@var "X48" $$unsorted)) % 0.53/0.70 (define @t105 () (@var "X46" $$unsorted)) % 0.53/0.70 (define @t106 () (@var "X49" $$unsorted)) % 0.53/0.70 (define @t107 () (@var "X47" $$unsorted)) % 0.53/0.70 (define @t108 () (@var "X35" $$unsorted)) % 0.53/0.70 (define @t109 () (@var "X33" $$unsorted)) % 0.53/0.70 (define @t110 () (@var "X36" $$unsorted)) % 0.53/0.70 (define @t111 () (@var "X34" $$unsorted)) % 0.53/0.70 (define @t112 () (@var "X24" $$unsorted)) % 0.53/0.70 (define @t113 () (@var "X22" $$unsorted)) % 0.53/0.70 (define @t114 () (@var "X25" $$unsorted)) % 0.53/0.70 (define @t115 () (@var "X23" $$unsorted)) % 0.53/0.70 (define @t116 () (@var "X104" $$unsorted)) % 0.53/0.70 (define @t117 () (@var "X51" $$unsorted)) % 0.53/0.70 (define @t118 () (@var "X50" $$unsorted)) % 0.53/0.70 (define @t119 () (@var "X4" $$unsorted)) % 0.53/0.70 (define @t120 () (@var "X2" $$unsorted)) % 0.53/0.70 (define @t121 () (@var "X3" $$unsorted)) % 0.53/0.70 (define @t122 () (@var "X1" $$unsorted)) % 0.53/0.70 (define @t123 () (not (tptp.p27 (tptp.f15 tptp.c36 (tptp.f13 @t122 @t121)) (tptp.f13 @t120 @t119)))) % 0.53/0.70 (define @t124 () (tptp.p32 (tptp.f22 tptp.c34 @t122) @t120)) % 0.53/0.70 (define @t125 () (@list @t122 @t120 @t121 @t119)) % 0.53/0.70 (define @t126 () (@var "X78" $$unsorted)) % 0.53/0.70 (define @t127 () (@var "X77" $$unsorted)) % 0.53/0.70 (define @t128 () (@var "X76" $$unsorted)) % 0.53/0.70 (define @t129 () (@var "X73" $$unsorted)) % 0.53/0.70 (define @t130 () (@var "X74" $$unsorted)) % 0.53/0.70 (define @t131 () (@var "X75" $$unsorted)) % 0.53/0.70 (define @t132 () (@var "X11" $$unsorted)) % 0.53/0.70 (define @t133 () (@var "X9" $$unsorted)) % 0.53/0.70 (define @t134 () (@var "X10" $$unsorted)) % 0.53/0.70 (define @t135 () (@var "X8" $$unsorted)) % 0.53/0.70 (define @t136 () (@var "X41" $$unsorted)) % 0.53/0.70 (define @t137 () (@var "X40" $$unsorted)) % 0.53/0.70 (define @t138 () (tptp.f13 @t137 @t136)) % 0.53/0.70 (define @t139 () (@var "X38" $$unsorted)) % 0.53/0.70 (define @t140 () (@var "X42" $$unsorted)) % 0.53/0.70 (define @t141 () (@var "X37" $$unsorted)) % 0.53/0.70 (define @t142 () (@var "X39" $$unsorted)) % 0.53/0.70 (define @t143 () (not @t10)) % 0.53/0.70 (define @t144 () (tptp.p3 @t84 @t88)) % 0.53/0.70 (define @t145 () (or @t144 @t143)) % 0.53/0.70 (define @t146 () (not @t144)) % 0.53/0.70 (define @t147 () (tptp.p10 tptp.c43 tptp.c43)) % 0.53/0.70 (define @t148 () (not @t147)) % 0.53/0.70 (define @t149 () (tptp.p2 @t85 @t89)) % 0.53/0.70 (define @t150 () (or @t149 @t148 @t146)) % 0.53/0.70 (define @t151 () (tptp.p2 @t85 @t86)) % 0.53/0.70 (define @t152 () (not @t151)) % 0.53/0.70 (define @t153 () (not @t149)) % 0.53/0.70 (define @t154 () (or @t90 @t153 @t152)) % 0.53/0.70 (define @t155 () (tptp.p2 @t86 @t86)) % 0.53/0.70 (define @t156 () (not @t155)) % 0.53/0.70 (define @t157 () (not @t87)) % 0.53/0.70 (define @t158 () (or @t151 @t157 @t156)) % 0.53/0.70 (define @t159 () (not @t158)) % 0.53/0.70 (assume @p1 (tptp.p25 tptp.c34)) % 0.53/0.70 (assume @p2 (tptp.p29 tptp.c36)) % 0.53/0.70 (assume @p3 (tptp.p30 (tptp.f18 tptp.c41))) % 0.53/0.70 (assume @p4 (tptp.p28 (tptp.f16 tptp.c38))) % 0.53/0.70 (assume @p5 (tptp.p28 (tptp.f16 tptp.c39))) % 0.53/0.70 (assume @p6 (tptp.p30 (tptp.f18 tptp.c40))) % 0.53/0.70 (assume @p7 (forall (@list @t1) (tptp.p10 @t1 @t1))) % 0.53/0.70 (assume @p8 (forall (@list @t2) (tptp.p7 @t2 @t2))) % 0.53/0.70 (assume @p9 (forall (@list @t3) (tptp.p6 @t3 @t3))) % 0.53/0.70 (assume @p10 (forall (@list @t4) (tptp.p3 @t4 @t4))) % 0.53/0.70 (assume @p11 (forall (@list @t5) (tptp.p21 @t5 @t5))) % 0.53/0.70 (assume @p12 (forall (@list @t6) (tptp.p2 @t6 @t6))) % 0.53/0.70 (assume @p13 (forall (@list @t7) (tptp.p17 @t7 @t7))) % 0.53/0.70 (assume @p14 (forall (@list @t8) (tptp.p14 @t8 @t8))) % 0.53/0.70 (assume @p15 (forall (@list @t9) (tptp.p12 @t9 @t9))) % 0.53/0.70 (assume @p16 (tptp.p10 tptp.c45 tptp.c48)) % 0.53/0.70 (assume @p17 (tptp.p31 tptp.c47 tptp.c42)) % 0.53/0.70 (assume @p18 @t10) % 0.53/0.70 (assume @p19 (tptp.p31 tptp.c46 @t11)) % 0.53/0.70 (assume @p20 (tptp.p2 tptp.c47 @t12)) % 0.53/0.70 (assume @p21 (tptp.p31 tptp.c44 @t11)) % 0.53/0.70 (assume @p22 (tptp.p7 (tptp.f8 tptp.c35) tptp.c36)) % 0.53/0.70 (assume @p23 (tptp.p32 (tptp.f22 tptp.c34 tptp.c45) tptp.c43)) % 0.53/0.70 (assume @p24 (tptp.p31 @t14 tptp.c46)) % 0.53/0.70 (assume @p25 (forall (@list @t15) (tptp.p26 tptp.c34 (tptp.f4 (tptp.f5 @t15)) (tptp.f4 @t15)))) % 0.53/0.70 (assume @p26 (forall (@list @t16 @t17) (or (tptp.p25 @t16) (not (tptp.p25 @t17)) (not (tptp.p21 @t17 @t16))))) % 0.53/0.70 (assume @p27 (forall (@list @t18 @t19) (or (tptp.p30 @t18) (not (tptp.p30 @t19)) (not (tptp.p17 @t19 @t18))))) % 0.53/0.70 (assume @p28 (forall (@list @t20 @t21) (or (tptp.p29 @t20) (not (tptp.p29 @t21)) (not (tptp.p7 @t21 @t20))))) % 0.53/0.70 (assume @p29 (forall (@list @t22 @t23) (or (tptp.p28 @t22) (not (tptp.p28 @t23)) (not (tptp.p14 @t23 @t22))))) % 0.53/0.70 (assume @p30 (forall (@list @t25 @t24) (or (tptp.p7 (tptp.f8 @t25) (tptp.f8 @t24)) (not (tptp.p6 @t25 @t24))))) % 0.53/0.70 (assume @p31 (forall (@list @t27 @t26) (or (tptp.p14 (tptp.f16 @t27) (tptp.f16 @t26)) (not (tptp.p14 @t27 @t26))))) % 0.53/0.70 (assume @p32 (forall (@list @t29 @t28) (or (tptp.p17 (tptp.f18 @t29) (tptp.f18 @t28)) (not (tptp.p17 @t29 @t28))))) % 0.53/0.70 (assume @p33 (forall (@list @t31 @t30) (or (tptp.p2 (tptp.f20 @t31) (tptp.f20 @t30)) (not (tptp.p2 @t31 @t30))))) % 0.53/0.70 (assume @p34 (forall (@list @t33 @t32) (or (tptp.p2 (tptp.f24 @t33) (tptp.f24 @t32)) (not (tptp.p2 @t33 @t32))))) % 0.53/0.70 (assume @p35 (forall (@list @t35 @t34) (or (tptp.p2 (tptp.f5 @t35) (tptp.f5 @t34)) (not (tptp.p2 @t35 @t34))))) % 0.53/0.70 (assume @p36 (forall (@list @t37 @t36) (or (tptp.p2 (tptp.f9 @t37) (tptp.f9 @t36)) (not (tptp.p2 @t37 @t36))))) % 0.53/0.70 (assume @p37 (forall (@list @t39 @t38) (or (tptp.p3 (tptp.f4 @t39) (tptp.f4 @t38)) (not (tptp.p2 @t39 @t38))))) % 0.53/0.70 (assume @p38 (forall (@list @t41 @t40 @t1) (or (tptp.p10 @t41 @t40) (not (tptp.p10 @t1 @t41)) (not (tptp.p10 @t1 @t40))))) % 0.53/0.70 (assume @p39 (forall (@list @t43 @t42 @t2) (or (tptp.p7 @t43 @t42) (not (tptp.p7 @t2 @t43)) (not (tptp.p7 @t2 @t42))))) % 0.53/0.70 (assume @p40 (forall (@list @t45 @t44 @t3) (or (tptp.p6 @t45 @t44) (not (tptp.p6 @t3 @t45)) (not (tptp.p6 @t3 @t44))))) % 0.53/0.70 (assume @p41 (forall (@list @t47 @t46 @t4) (or (tptp.p3 @t47 @t46) (not (tptp.p3 @t4 @t47)) (not (tptp.p3 @t4 @t46))))) % 0.53/0.70 (assume @p42 (forall (@list @t49 @t48 @t5) (or (tptp.p21 @t49 @t48) (not (tptp.p21 @t5 @t49)) (not (tptp.p21 @t5 @t48))))) % 0.53/0.70 (assume @p43 @t52) % 0.53/0.70 (assume @p44 (forall (@list @t54 @t53 @t7) (or (tptp.p17 @t54 @t53) (not (tptp.p17 @t7 @t54)) (not (tptp.p17 @t7 @t53))))) % 0.53/0.70 (assume @p45 (forall (@list @t56 @t55 @t8) (or (tptp.p14 @t56 @t55) (not (tptp.p14 @t8 @t56)) (not (tptp.p14 @t8 @t55))))) % 0.53/0.70 (assume @p46 (forall (@list @t58 @t57 @t9) (or (tptp.p12 @t58 @t57) (not (tptp.p12 @t9 @t58)) (not (tptp.p12 @t9 @t57))))) % 0.53/0.70 (assume @p47 (tptp.p33 (tptp.f11 @t61 tptp.c45) @t60)) % 0.53/0.70 (assume @p48 (forall @t66 (or (tptp.p31 @t62 @t65) @t64 @t63))) % 0.53/0.70 (assume @p49 (forall @t66 (or (tptp.p31 @t65 @t11) @t64 @t63))) % 0.53/0.70 (assume @p50 (forall (@list @t67 @t70 @t69 @t68) (or (tptp.p33 @t67 @t70) (not (tptp.p2 @t69 @t70)) (not (tptp.p33 @t68 @t69)) (not (tptp.p2 @t68 @t67))))) % 0.53/0.70 (assume @p51 (forall (@list @t74 @t71 @t73 @t72) (or (tptp.p27 @t74 @t71) (not (tptp.p14 @t73 @t74)) (not (tptp.p27 @t73 @t72)) (not (tptp.p12 @t72 @t71))))) % 0.53/0.70 (assume @p52 (forall (@list @t75 @t78 @t77 @t76) (or (tptp.p31 @t75 @t78) (not (tptp.p2 @t77 @t78)) (not (tptp.p31 @t76 @t77)) (not (tptp.p2 @t76 @t75))))) % 0.53/0.70 (assume @p53 (forall (@list @t82 @t79 @t81 @t80) (or (tptp.p32 @t82 @t79) (not (tptp.p17 @t81 @t82)) (not (tptp.p32 @t81 @t80)) (not (tptp.p10 @t80 @t79))))) % 0.53/0.70 (assume @p54 (tptp.p2 @t83 (tptp.f19 (tptp.f11 @t59 tptp.c48) @t13))) % 0.53/0.70 (assume @p55 (tptp.p31 @t60 (tptp.f11 (tptp.f4 (tptp.f23 tptp.c42 @t13)) tptp.c45))) % 0.53/0.70 (assume @p56 @t87) % 0.53/0.70 (assume @p57 (not @t90)) % 0.53/0.70 (assume @p58 (forall (@list @t91) (or (tptp.p10 @t91 tptp.c43) (not (tptp.p31 (tptp.f11 @t61 @t91) (tptp.f11 @t59 @t91)))))) % 0.53/0.70 (assume @p59 (forall (@list @t95 @t93 @t94 @t92) (or (tptp.p12 (tptp.f13 @t95 @t93) (tptp.f13 @t94 @t92)) (not (tptp.p10 @t95 @t94)) (not (tptp.p2 @t93 @t92))))) % 0.53/0.70 (assume @p60 (forall (@list @t99 @t97 @t98 @t96) (or (tptp.p2 (tptp.f23 @t99 @t97) (tptp.f23 @t98 @t96)) (not (tptp.p2 @t99 @t98)) (not (tptp.p2 @t97 @t96))))) % 0.53/0.70 (assume @p61 (forall (@list @t103 @t101 @t102 @t100) (or (tptp.p2 (tptp.f19 @t103 @t101) (tptp.f19 @t102 @t100)) (not (tptp.p2 @t103 @t102)) (not (tptp.p2 @t101 @t100))))) % 0.53/0.70 (assume @p62 (forall (@list @t105 @t107 @t104 @t106) (or (tptp.p2 (tptp.f11 @t105 @t107) (tptp.f11 @t104 @t106)) (not (tptp.p10 @t107 @t106)) (not (tptp.p3 @t105 @t104))))) % 0.53/0.70 (assume @p63 (forall (@list @t109 @t111 @t108 @t110) (or (tptp.p17 (tptp.f22 @t109 @t111) (tptp.f22 @t108 @t110)) (not (tptp.p10 @t111 @t110)) (not (tptp.p21 @t109 @t108))))) % 0.53/0.70 (assume @p64 (forall (@list @t113 @t115 @t112 @t114) (or (tptp.p14 (tptp.f15 @t113 @t115) (tptp.f15 @t112 @t114)) (not (tptp.p12 @t115 @t114)) (not (tptp.p7 @t113 @t112))))) % 0.53/0.70 (assume @p65 (tptp.p2 (tptp.f19 (tptp.f11 @t61 tptp.c43) @t13) (tptp.f11 @t59 tptp.c43))) % 0.53/0.70 (assume @p66 (forall (@list @t116) (or (tptp.p32 (tptp.f22 tptp.c34 @t116) tptp.c43) (not (tptp.p33 (tptp.f11 @t61 @t116) (tptp.f11 @t59 @t116)))))) % 0.53/0.70 (assume @p67 (forall (@list @t117) (or (tptp.p2 (tptp.f11 (tptp.f4 @t117) tptp.c48) @t83) (not (tptp.p31 @t117 tptp.c42)) (not (tptp.p31 tptp.c47 @t117))))) % 0.53/0.70 (assume @p68 (forall (@list @t118) (or (tptp.p2 (tptp.f11 (tptp.f4 @t118) tptp.c43) @t85) (not (tptp.p31 tptp.c44 @t118)) (not (tptp.p31 @t118 @t11))))) % 0.53/0.70 (assume @p69 (forall @t125 (or (tptp.p10 @t122 @t120) @t124 @t123))) % 0.53/0.70 (assume @p70 (forall @t66 (or @t64 @t63 (not (tptp.p2 (tptp.f11 (tptp.f4 @t65) tptp.c43) (tptp.f11 (tptp.f4 @t62) tptp.c43)))))) % 0.53/0.70 (assume @p71 (forall (@list @t129 @t130 @t131 @t126 @t127 @t128) (or (tptp.p26 @t129 @t130 @t131) (not (tptp.p3 @t126 @t131)) (not (tptp.p3 @t127 @t130)) (not (tptp.p21 @t128 @t129)) (not (tptp.p26 @t128 @t127 @t126))))) % 0.53/0.70 (assume @p72 (forall (@list @t135 @t133 @t134 @t132) (or (tptp.p10 @t135 @t133) (not (tptp.p2 (tptp.f11 (tptp.f4 @t134) @t135) @t12)) (not (tptp.p27 (tptp.f15 tptp.c36 (tptp.f13 @t135 @t134)) (tptp.f13 @t133 @t132)))))) % 0.53/0.70 (assume @p73 (forall (@list @t141 @t139 @t142 @t137 @t136 @t140) (or (tptp.p2 @t141 @t139) (not (tptp.p27 (tptp.f15 tptp.c36 (tptp.f13 @t142 @t141)) @t138)) (not (tptp.p27 (tptp.f15 tptp.c36 (tptp.f13 @t140 @t139)) @t138))))) % 0.53/0.70 (assume @p74 (forall @t125 (or @t124 (tptp.p31 (tptp.f11 (tptp.f4 @t121) @t120) (tptp.f11 (tptp.f4 @t119) @t120)) @t123))) % 0.53/0.70 (step @p75 :rule instantiate :premises (@p43) :args ((@list @t89 @t86 @t85))) % 0.53/0.70 (step @p76 :rule instantiate :premises (@p62) :args ((@list @t84 tptp.c43 @t88 tptp.c43))) % 0.53/0.70 (step @p77 :rule instantiate :premises (@p37) :args ((@list tptp.c44 tptp.c46))) % 0.53/0.70 (step @p78 :rule cnf_or_pos :args (@t145)) % 0.53/0.70 (step @p79 :rule reordering :premises (@p78) :args ((or @t143 @t144 (not @t145)))) % 0.53/0.70 (step @p80 :rule chain_m_resolution :premises (@p79 @p18 @p77) :args (@t144 (@list false false) (@list @t10 @t145))) % 0.53/0.70 (step @p81 :rule instantiate :premises (@p7) :args ((@list tptp.c43))) % 0.53/0.70 (step @p82 :rule cnf_or_pos :args (@t150)) % 0.53/0.70 (step @p83 :rule reordering :premises (@p82) :args ((or @t148 @t146 @t149 (not @t150)))) % 0.53/0.70 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p80 @p76) :args (@t149 (@list false false false) (@list @t147 @t144 @t150))) % 0.53/0.70 (step @p85 :rule cnf_or_pos :args (@t154)) % 0.53/0.70 (step @p86 :rule reordering :premises (@p85) :args ((or @t90 @t153 @t152 (not @t154)))) % 0.53/0.70 (step @p87 :rule chain_m_resolution :premises (@p86 @p57 @p84 @p75) :args (@t152 (@list true false false) (@list @t90 @t149 @t154))) % 0.53/0.70 (step @p88 :rule instantiate :premises (@p12) :args ((@list @t86))) % 0.53/0.70 (step @p89 :rule cnf_or_pos :args (@t158)) % 0.53/0.70 (step @p90 :rule reordering :premises (@p89) :args ((or @t157 @t156 @t151 @t159))) % 0.53/0.70 (step @p91 :rule chain_m_resolution :premises (@p90 @p56 @p88 @p87) :args (@t159 (@list false false true) (@list @t87 @t155 @t151))) % 0.53/0.70 (assume-push @p98 @t52) % 0.53/0.70 (step @p93 :rule instantiate :premises (@p43) :args ((@list @t85 @t86 @t86))) % 0.53/0.70 (step-pop @p99 :rule scope :premises (@p93)) % 0.53/0.70 (step @p94 :rule process_scope :premises (@p99) :args (@t158)) % 0.53/0.70 (step @p96 :rule implies_elim :premises (@p94)) % 0.53/0.70 (step @p97 false :rule chain_m_resolution :premises (@p96 @p91 @p43) :args (false (@list true false) (@list @t158 @t52))) % 0.53/0.70 ) % 0.53/0.71 % SZS output end Proof % 0.53/0.71 % cvc5 exiting %------------------------------------------------------------------------------