%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO683-1 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 09:13:21 AM UTC 2026 % Result : Unsatisfiable 0.45s 0.64s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO683-1 : TPTP v9.2.1. Released v7.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.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 : Wed Jun 3 00:34:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.64 % SZS status Unsatisfiable % 0.45/0.64 % SZS output start Proof % 0.45/0.65 ( % 0.45/0.65 (declare-sort $$unsorted 0) % 0.45/0.65 (declare-const tptp.z $$unsorted) % 0.45/0.65 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const |tptp.'E'| (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const |tptp.'0'| $$unsorted) % 0.45/0.65 (declare-const |tptp.'LE'| (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.iLEQ (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.suc (-> $$unsorted $$unsorted)) % 0.45/0.65 (define @t1 () (@var "A_4" $$unsorted)) % 0.45/0.65 (define @t2 () (tptp.suc @t1)) % 0.45/0.65 (define @t3 () (not (|tptp.'E'| |tptp.'0'| (tptp.f @t2)))) % 0.45/0.65 (define @t4 () (not (|tptp.'E'| |tptp.'0'| (tptp.f @t1)))) % 0.45/0.65 (define @t5 () (@var "A_3" $$unsorted)) % 0.45/0.65 (define @t6 () (tptp.suc @t5)) % 0.45/0.65 (define @t7 () (tptp.s |tptp.'0'|)) % 0.45/0.65 (define @t8 () (not (|tptp.'E'| @t7 (tptp.f @t6)))) % 0.45/0.65 (define @t9 () (not (|tptp.'E'| @t7 (tptp.f @t5)))) % 0.45/0.65 (define @t10 () (tptp.s @t7)) % 0.45/0.65 (define @t11 () (tptp.s @t10)) % 0.45/0.65 (define @t12 () (tptp.s @t11)) % 0.45/0.65 (define @t13 () (@var "A" $$unsorted)) % 0.45/0.65 (define @t14 () (@var "A_2" $$unsorted)) % 0.45/0.65 (define @t15 () (tptp.suc @t14)) % 0.45/0.65 (define @t16 () (not (|tptp.'E'| @t10 (tptp.f @t15)))) % 0.45/0.65 (define @t17 () (not (|tptp.'E'| @t10 (tptp.f @t14)))) % 0.45/0.65 (define @t18 () (@var "B_159" $$unsorted)) % 0.45/0.65 (define @t19 () (tptp.suc @t18)) % 0.45/0.65 (define @t20 () (@var "A_1" $$unsorted)) % 0.45/0.65 (define @t21 () (tptp.suc @t20)) % 0.45/0.65 (define @t22 () (not (|tptp.'E'| @t11 (tptp.f @t21)))) % 0.45/0.65 (define @t23 () (@var "B_160" $$unsorted)) % 0.45/0.65 (define @t24 () (tptp.suc @t23)) % 0.45/0.65 (define @t25 () (@var "B_162" $$unsorted)) % 0.45/0.65 (define @t26 () (tptp.suc @t25)) % 0.45/0.65 (define @t27 () (@var "B_161" $$unsorted)) % 0.45/0.65 (define @t28 () (tptp.suc @t27)) % 0.45/0.65 (define @t29 () (not (|tptp.'E'| @t11 (tptp.f @t20)))) % 0.45/0.65 (define @t30 () (@var "B_247" $$unsorted)) % 0.45/0.65 (define @t31 () (tptp.f @t30)) % 0.45/0.65 (define @t32 () (|tptp.'LE'| @t31 @t10)) % 0.45/0.65 (define @t33 () (tptp.f (tptp.suc @t30))) % 0.45/0.65 (define @t34 () (@list @t30)) % 0.45/0.65 (define @t35 () (@var "B_158" $$unsorted)) % 0.45/0.65 (define @t36 () (tptp.f @t35)) % 0.45/0.65 (define @t37 () (|tptp.'LE'| @t36 @t11)) % 0.45/0.65 (define @t38 () (tptp.f (tptp.suc @t35))) % 0.45/0.65 (define @t39 () (@list @t35)) % 0.45/0.65 (define @t40 () (tptp.f tptp.z)) % 0.45/0.65 (define @t41 () (|tptp.'LE'| @t40 |tptp.'0'|)) % 0.45/0.65 (define @t42 () (@var "B_309" $$unsorted)) % 0.45/0.65 (define @t43 () (tptp.f @t42)) % 0.45/0.65 (define @t44 () (|tptp.'LE'| @t43 |tptp.'0'|)) % 0.45/0.65 (define @t45 () (tptp.f (tptp.suc @t42))) % 0.45/0.65 (define @t46 () (@list @t42)) % 0.45/0.65 (define @t47 () (forall @t46 (or (not (|tptp.'LE'| @t45 @t7)) (|tptp.'E'| |tptp.'0'| @t45) @t44))) % 0.45/0.65 (define @t48 () (@var "B_251" $$unsorted)) % 0.45/0.65 (define @t49 () (tptp.suc @t48)) % 0.45/0.65 (define @t50 () (@var "B_250" $$unsorted)) % 0.45/0.65 (define @t51 () (tptp.suc @t50)) % 0.45/0.65 (define @t52 () (@var "B_249" $$unsorted)) % 0.45/0.65 (define @t53 () (tptp.suc @t52)) % 0.45/0.65 (define @t54 () (@var "B_248" $$unsorted)) % 0.45/0.65 (define @t55 () (tptp.suc @t54)) % 0.45/0.65 (define @t56 () (@var "B_291" $$unsorted)) % 0.45/0.65 (define @t57 () (tptp.f @t56)) % 0.45/0.65 (define @t58 () (|tptp.'LE'| @t57 @t7)) % 0.45/0.65 (define @t59 () (tptp.f (tptp.suc @t56))) % 0.45/0.65 (define @t60 () (@list @t56)) % 0.45/0.65 (define @t61 () (@var "B_313" $$unsorted)) % 0.45/0.65 (define @t62 () (tptp.suc @t61)) % 0.45/0.65 (define @t63 () (@var "B_312" $$unsorted)) % 0.45/0.65 (define @t64 () (tptp.suc @t63)) % 0.45/0.65 (define @t65 () (@var "B_310" $$unsorted)) % 0.45/0.65 (define @t66 () (tptp.suc @t65)) % 0.45/0.65 (define @t67 () (@var "B_311" $$unsorted)) % 0.45/0.65 (define @t68 () (tptp.suc @t67)) % 0.45/0.65 (define @t69 () (@var "B_293" $$unsorted)) % 0.45/0.65 (define @t70 () (tptp.suc @t69)) % 0.45/0.65 (define @t71 () (@var "B_292" $$unsorted)) % 0.45/0.65 (define @t72 () (tptp.suc @t71)) % 0.45/0.65 (define @t73 () (@var "B_294" $$unsorted)) % 0.45/0.65 (define @t74 () (tptp.suc @t73)) % 0.45/0.65 (define @t75 () (@var "B_295" $$unsorted)) % 0.45/0.65 (define @t76 () (tptp.suc @t75)) % 0.45/0.65 (define @t77 () (tptp.suc tptp.z)) % 0.45/0.65 (define @t78 () (@list @t77)) % 0.45/0.65 (define @t79 () (tptp.suc @t77)) % 0.45/0.65 (define @t80 () (@list @t79)) % 0.45/0.65 (define @t81 () (tptp.f @t79)) % 0.45/0.65 (define @t82 () (|tptp.'LE'| @t81 @t11)) % 0.45/0.65 (define @t83 () (|tptp.'E'| @t11 @t81)) % 0.45/0.65 (define @t84 () (|tptp.'LE'| @t81 @t12)) % 0.45/0.65 (define @t85 () (not @t84)) % 0.45/0.65 (define @t86 () (or @t85 @t83 @t82)) % 0.45/0.65 (define @t87 () (tptp.suc @t79)) % 0.45/0.65 (define @t88 () (@list @t87)) % 0.45/0.65 (define @t89 () (tptp.f @t87)) % 0.45/0.65 (define @t90 () (|tptp.'E'| @t11 @t89)) % 0.45/0.65 (define @t91 () (|tptp.'LE'| @t89 @t12)) % 0.45/0.65 (define @t92 () (not @t91)) % 0.45/0.65 (define @t93 () (or @t92 @t90 @t82)) % 0.45/0.65 (define @t94 () (@list @t79 @t79 @t79 @t79 @t79)) % 0.45/0.65 (define @t95 () (tptp.iLEQ @t87 @t87)) % 0.45/0.65 (define @t96 () (not @t95)) % 0.45/0.65 (define @t97 () (not @t90)) % 0.45/0.65 (define @t98 () (not @t83)) % 0.45/0.65 (define @t99 () (or @t97 @t98 @t96 @t97 @t98 @t98 @t98 @t96 @t98 @t97 @t96 @t97 @t97 @t96)) % 0.45/0.65 (define @t100 () (or @t98 @t97 @t95)) % 0.45/0.65 (define @t101 () (@list false true false false false false false false false)) % 0.45/0.65 (define @t102 () (@list tptp.z)) % 0.45/0.65 (define @t103 () (|tptp.'LE'| @t40 @t7)) % 0.45/0.65 (define @t104 () (tptp.f @t77)) % 0.45/0.65 (define @t105 () (|tptp.'E'| @t7 @t104)) % 0.45/0.65 (define @t106 () (|tptp.'LE'| @t104 @t10)) % 0.45/0.65 (define @t107 () (not @t106)) % 0.45/0.65 (define @t108 () (or @t107 @t105 @t103)) % 0.45/0.65 (define @t109 () (|tptp.'LE'| @t104 @t7)) % 0.45/0.65 (define @t110 () (or @t107 @t105 @t109)) % 0.45/0.65 (define @t111 () (|tptp.'E'| |tptp.'0'| @t40)) % 0.45/0.65 (define @t112 () (not @t103)) % 0.45/0.65 (define @t113 () (or @t112 @t111 @t41)) % 0.45/0.65 (define @t114 () (|tptp.'E'| |tptp.'0'| @t104)) % 0.45/0.65 (define @t115 () (not @t109)) % 0.45/0.65 (define @t116 () (or @t115 @t114 @t41)) % 0.45/0.65 (define @t117 () (tptp.iLEQ @t77 @t77)) % 0.45/0.65 (define @t118 () (not @t114)) % 0.45/0.65 (define @t119 () (not @t111)) % 0.45/0.65 (define @t120 () (or @t119 @t118 @t117)) % 0.45/0.65 (define @t121 () (@list tptp.z tptp.z tptp.z tptp.z tptp.z)) % 0.45/0.65 (define @t122 () (not @t117)) % 0.45/0.65 (define @t123 () (or @t118 @t118 @t119 @t118 @t119 @t119 @t118 @t119 @t122 @t122 @t122 @t118 @t122 @t119)) % 0.45/0.65 (define @t124 () (not @t105)) % 0.45/0.65 (define @t125 () (|tptp.'E'| @t7 @t40)) % 0.45/0.65 (define @t126 () (not @t125)) % 0.45/0.65 (define @t127 () (or @t124 @t126 @t124 @t124 @t124 @t126 @t126 @t122 @t126 @t122 @t126 @t124 @t122 @t122)) % 0.45/0.65 (define @t128 () (|tptp.'LE'| @t40 @t10)) % 0.45/0.65 (define @t129 () (not @t128)) % 0.45/0.65 (define @t130 () (or @t129 @t125 @t103)) % 0.45/0.65 (define @t131 () (|tptp.'LE'| @t40 @t11)) % 0.45/0.65 (define @t132 () (|tptp.'E'| @t11 @t40)) % 0.45/0.65 (define @t133 () (|tptp.'LE'| @t40 @t12)) % 0.45/0.65 (define @t134 () (not @t133)) % 0.45/0.65 (define @t135 () (or @t134 @t132 @t131)) % 0.45/0.65 (define @t136 () (|tptp.'E'| @t11 @t104)) % 0.45/0.65 (define @t137 () (|tptp.'LE'| @t104 @t12)) % 0.45/0.65 (define @t138 () (not @t137)) % 0.45/0.65 (define @t139 () (or @t138 @t136 @t131)) % 0.45/0.65 (define @t140 () (not @t136)) % 0.45/0.65 (define @t141 () (not @t132)) % 0.45/0.65 (define @t142 () (or @t140 @t141 @t122 @t140 @t141 @t141 @t141 @t122 @t141 @t140 @t122 @t140 @t140 @t122)) % 0.45/0.65 (define @t143 () (or @t141 @t140 @t117)) % 0.45/0.65 (define @t144 () (|tptp.'E'| @t10 @t40)) % 0.45/0.65 (define @t145 () (not @t131)) % 0.45/0.65 (define @t146 () (or @t145 @t144 @t128)) % 0.45/0.65 (define @t147 () (|tptp.'LE'| @t104 @t11)) % 0.45/0.65 (define @t148 () (or @t138 @t136 @t147)) % 0.45/0.65 (define @t149 () (or @t85 @t83 @t147)) % 0.45/0.65 (define @t150 () (@list @t77 @t77 @t77 @t77 @t77)) % 0.45/0.65 (define @t151 () (tptp.iLEQ @t79 @t79)) % 0.45/0.65 (define @t152 () (not @t151)) % 0.45/0.65 (define @t153 () (or @t98 @t140 @t152 @t98 @t140 @t140 @t140 @t152 @t140 @t98 @t152 @t98 @t98 @t152)) % 0.45/0.65 (define @t154 () (or @t140 @t98 @t151)) % 0.45/0.65 (define @t155 () (@list false true false)) % 0.45/0.65 (define @t156 () (@list false false false false false false)) % 0.45/0.65 (define @t157 () (|tptp.'E'| @t10 @t104)) % 0.45/0.65 (define @t158 () (not @t147)) % 0.45/0.65 (define @t159 () (or @t158 @t157 @t128)) % 0.45/0.65 (define @t160 () (not @t144)) % 0.45/0.65 (define @t161 () (not @t157)) % 0.45/0.65 (define @t162 () (or @t161 @t160 @t122 @t160 @t161 @t122 @t161 @t160 @t161 @t161 @t122 @t160 @t160 @t122)) % 0.45/0.65 (define @t163 () (or @t126 @t124 @t117)) % 0.45/0.65 (define @t164 () (or @t160 @t161 @t117)) % 0.45/0.65 (define @t165 () (|tptp.'E'| @t7 @t81)) % 0.45/0.65 (define @t166 () (|tptp.'LE'| @t81 @t10)) % 0.45/0.65 (define @t167 () (not @t166)) % 0.45/0.65 (define @t168 () (or @t167 @t165 @t109)) % 0.45/0.65 (define @t169 () (not @t165)) % 0.45/0.65 (define @t170 () (or @t124 @t169 @t151)) % 0.45/0.65 (define @t171 () (@list false false false false false)) % 0.45/0.65 (define @t172 () (|tptp.'E'| @t10 @t81)) % 0.45/0.65 (define @t173 () (not @t172)) % 0.45/0.65 (define @t174 () (or @t161 @t173 @t151)) % 0.45/0.65 (define @t175 () (not @t82)) % 0.45/0.65 (define @t176 () (or @t175 @t172 @t166)) % 0.45/0.65 (define @t177 () (or @t158 @t157 @t106)) % 0.45/0.65 (define @t178 () (or @t175 @t172 @t106)) % 0.45/0.65 (define @t179 () (or @t173 @t161 @t152 @t161 @t173 @t152 @t173 @t161 @t173 @t173 @t152 @t161 @t161 @t152)) % 0.45/0.65 (define @t180 () (or @t169 @t124 @t169 @t169 @t169 @t124 @t124 @t152 @t124 @t152 @t124 @t169 @t152 @t152)) % 0.45/0.65 (define @t181 () (@list false)) % 0.45/0.65 (define @t182 () (|tptp.'LE'| @t89 @t11)) % 0.45/0.65 (define @t183 () (or @t92 @t90 @t182)) % 0.45/0.65 (define @t184 () (tptp.suc @t87)) % 0.45/0.65 (define @t185 () (tptp.f @t184)) % 0.45/0.65 (define @t186 () (|tptp.'E'| @t11 @t185)) % 0.45/0.65 (define @t187 () (|tptp.'LE'| @t185 @t12)) % 0.45/0.65 (define @t188 () (not @t187)) % 0.45/0.65 (define @t189 () (or @t188 @t186 @t182)) % 0.45/0.65 (define @t190 () (tptp.iLEQ @t184 @t184)) % 0.45/0.65 (define @t191 () (not @t190)) % 0.45/0.65 (define @t192 () (not @t186)) % 0.45/0.65 (define @t193 () (or @t192 @t97 @t191 @t192 @t97 @t97 @t97 @t191 @t97 @t192 @t191 @t192 @t192 @t191)) % 0.45/0.65 (define @t194 () (or @t97 @t192 @t190)) % 0.45/0.65 (define @t195 () (|tptp.'E'| @t10 @t89)) % 0.45/0.65 (define @t196 () (not @t182)) % 0.45/0.65 (define @t197 () (or @t196 @t195 @t166)) % 0.45/0.65 (define @t198 () (not @t195)) % 0.45/0.65 (define @t199 () (or @t198 @t173 @t96 @t173 @t198 @t96 @t198 @t173 @t198 @t198 @t96 @t173 @t173 @t96)) % 0.45/0.65 (define @t200 () (or @t173 @t198 @t95)) % 0.45/0.65 (define @t201 () (@list true false false)) % 0.45/0.65 (assume @p1 (forall (@list @t1) (or @t4 @t3 (tptp.iLEQ @t2 @t2)))) % 0.45/0.65 (assume @p2 (forall (@list @t5) (or @t9 @t8 (tptp.iLEQ @t6 @t6)))) % 0.45/0.65 (assume @p3 (forall (@list @t13) (|tptp.'LE'| (tptp.f @t13) @t12))) % 0.45/0.65 (assume @p4 (forall (@list @t14) (or @t17 @t16 (tptp.iLEQ @t15 @t15)))) % 0.45/0.65 (assume @p5 (forall (@list @t18 @t25 @t23 @t27 @t20) (or (not (|tptp.'E'| @t11 (tptp.f @t19))) (not (|tptp.'E'| @t11 (tptp.f @t25))) (not (tptp.iLEQ @t24 @t28)) (not (|tptp.'E'| @t11 (tptp.f @t26))) (not (|tptp.'E'| @t11 (tptp.f @t18))) (not (|tptp.'E'| @t11 (tptp.f @t27))) (not (|tptp.'E'| @t11 (tptp.f @t23))) (not (tptp.iLEQ @t19 @t24)) @t29 (not (|tptp.'E'| @t11 (tptp.f @t28))) (not (tptp.iLEQ @t28 @t26)) (not (|tptp.'E'| @t11 (tptp.f @t24))) @t22 (not (tptp.iLEQ @t21 @t19))))) % 0.45/0.65 (assume @p6 (forall @t34 (or (not (|tptp.'LE'| @t33 @t11)) (|tptp.'E'| @t10 @t33) @t32))) % 0.45/0.65 (assume @p7 (forall @t34 (or (not (|tptp.'LE'| @t31 @t11)) (|tptp.'E'| @t10 @t31) @t32))) % 0.45/0.65 (assume @p8 (forall @t39 (or (not (|tptp.'LE'| @t38 @t12)) (|tptp.'E'| @t11 @t38) @t37))) % 0.45/0.65 (assume @p9 (not @t41)) % 0.45/0.65 (assume @p10 @t47) % 0.45/0.65 (assume @p11 (forall (@list @t52 @t50 @t14 @t54 @t48) (or (not (|tptp.'E'| @t10 (tptp.f @t53))) (not (|tptp.'E'| @t10 (tptp.f @t50))) (not (tptp.iLEQ @t15 @t55)) (not (|tptp.'E'| @t10 (tptp.f @t54))) (not (|tptp.'E'| @t10 (tptp.f @t49))) (not (tptp.iLEQ @t53 @t51)) @t16 (not (|tptp.'E'| @t10 (tptp.f @t48))) (not (|tptp.'E'| @t10 (tptp.f @t55))) (not (|tptp.'E'| @t10 (tptp.f @t51))) (not (tptp.iLEQ @t55 @t53)) (not (|tptp.'E'| @t10 (tptp.f @t52))) @t17 (not (tptp.iLEQ @t51 @t49))))) % 0.45/0.65 (assume @p12 (forall @t39 (or (not (|tptp.'LE'| @t36 @t12)) (|tptp.'E'| @t11 @t36) @t37))) % 0.45/0.65 (assume @p13 (forall (@list @t20) (or @t29 @t22 (tptp.iLEQ @t21 @t21)))) % 0.45/0.65 (assume @p14 (forall @t60 (or (not (|tptp.'LE'| @t59 @t10)) (|tptp.'E'| @t7 @t59) @t58))) % 0.45/0.65 (assume @p15 (forall @t60 (or (not (|tptp.'LE'| @t57 @t10)) (|tptp.'E'| @t7 @t57) @t58))) % 0.45/0.65 (assume @p16 (forall (@list @t65 @t67 @t61 @t63 @t1) (or (not (|tptp.'E'| |tptp.'0'| (tptp.f @t66))) (not (|tptp.'E'| |tptp.'0'| (tptp.f @t68))) (not (|tptp.'E'| |tptp.'0'| (tptp.f @t67))) (not (|tptp.'E'| |tptp.'0'| (tptp.f @t62))) (not (|tptp.'E'| |tptp.'0'| (tptp.f @t65))) (not (|tptp.'E'| |tptp.'0'| (tptp.f @t63))) (not (|tptp.'E'| |tptp.'0'| (tptp.f @t64))) (not (|tptp.'E'| |tptp.'0'| (tptp.f @t61))) (not (tptp.iLEQ @t68 @t64)) (not (tptp.iLEQ @t66 @t68)) (not (tptp.iLEQ @t2 @t66)) @t3 (not (tptp.iLEQ @t64 @t62)) @t4))) % 0.45/0.65 (assume @p17 (forall @t46 (or (not (|tptp.'LE'| @t43 @t7)) (|tptp.'E'| |tptp.'0'| @t43) @t44))) % 0.45/0.65 (assume @p18 (forall (@list @t73 @t75 @t71 @t5 @t69) (or (not (|tptp.'E'| @t7 (tptp.f @t74))) (not (|tptp.'E'| @t7 (tptp.f @t75))) (not (|tptp.'E'| @t7 (tptp.f @t76))) (not (|tptp.'E'| @t7 (tptp.f @t72))) @t8 (not (|tptp.'E'| @t7 (tptp.f @t73))) (not (|tptp.'E'| @t7 (tptp.f @t71))) (not (tptp.iLEQ @t6 @t72)) (not (|tptp.'E'| @t7 (tptp.f @t69))) (not (tptp.iLEQ @t74 @t76)) @t9 (not (|tptp.'E'| @t7 (tptp.f @t70))) (not (tptp.iLEQ @t70 @t74)) (not (tptp.iLEQ @t72 @t70))))) % 0.45/0.65 (step @p19 :rule instantiate :premises (@p7) :args (@t78)) % 0.45/0.65 (step @p20 :rule instantiate :premises (@p12) :args (@t80)) % 0.45/0.65 (step @p21 :rule instantiate :premises (@p3) :args (@t80)) % 0.45/0.65 (step @p22 :rule cnf_or_pos :args (@t86)) % 0.45/0.65 (step @p23 :rule reordering :premises (@p22) :args ((or @t83 @t82 @t85 (not @t86)))) % 0.45/0.65 (step @p24 :rule instantiate :premises (@p3) :args (@t88)) % 0.45/0.65 (step @p25 :rule instantiate :premises (@p8) :args (@t80)) % 0.45/0.65 (step @p26 :rule cnf_or_pos :args (@t93)) % 0.45/0.65 (step @p27 :rule reordering :premises (@p26) :args ((or @t82 @t92 @t90 (not @t93)))) % 0.45/0.65 (step @p28 :rule instantiate :premises (@p5) :args (@t94)) % 0.45/0.65 (step @p29 :rule cnf_or_pos :args (@t99)) % 0.45/0.65 (step @p30 :rule factoring :premises (@p29)) % 0.45/0.65 (step @p31 :rule reordering :premises (@p30) :args ((or @t98 @t97 @t96 (not @t99)))) % 0.45/0.65 (step @p32 :rule instantiate :premises (@p13) :args (@t80)) % 0.45/0.65 (step @p33 :rule cnf_or_pos :args (@t100)) % 0.45/0.65 (step @p34 :rule reordering :premises (@p33) :args ((or @t98 @t97 @t95 (not @t100)))) % 0.45/0.65 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p31 @p28 @p27 @p25 @p24 @p23 @p21 @p20) :args (@t82 @t101 (@list @t100 @t95 @t99 @t90 @t93 @t91 @t83 @t84 @t86))) % 0.45/0.65 (step @p36 :rule instantiate :premises (@p14) :args (@t102)) % 0.45/0.65 (step @p37 :rule cnf_or_pos :args (@t108)) % 0.45/0.65 (step @p38 :rule reordering :premises (@p37) :args ((or @t103 @t107 @t105 (not @t108)))) % 0.45/0.65 (step @p39 :rule instantiate :premises (@p15) :args (@t78)) % 0.45/0.65 (step @p40 :rule cnf_or_pos :args (@t110)) % 0.45/0.65 (step @p41 :rule reordering :premises (@p40) :args ((or @t109 @t107 @t105 (not @t110)))) % 0.45/0.65 (step @p42 :rule instantiate :premises (@p17) :args (@t102)) % 0.45/0.65 (step @p43 :rule cnf_or_pos :args (@t113)) % 0.45/0.65 (step @p44 :rule reordering :premises (@p43) :args ((or @t41 @t112 @t111 (not @t113)))) % 0.45/0.65 (step @p45 :rule instantiate :premises (@p10) :args (@t102)) % 0.45/0.65 (step @p46 :rule cnf_or_pos :args (@t116)) % 0.45/0.65 (step @p47 :rule reordering :premises (@p46) :args ((or @t41 @t115 @t114 (not @t116)))) % 0.45/0.65 (step @p48 :rule instantiate :premises (@p1) :args (@t102)) % 0.45/0.65 (step @p49 :rule cnf_or_pos :args (@t120)) % 0.45/0.65 (step @p50 :rule reordering :premises (@p49) :args ((or @t118 @t119 @t117 (not @t120)))) % 0.45/0.65 (step @p51 :rule instantiate :premises (@p16) :args (@t121)) % 0.45/0.65 (step @p52 :rule cnf_or_pos :args (@t123)) % 0.45/0.65 (step @p53 :rule factoring :premises (@p52)) % 0.45/0.65 (step @p54 :rule reordering :premises (@p53) :args ((or @t118 @t119 @t122 (not @t123)))) % 0.45/0.65 (step @p55 :rule chain_m_resolution :premises (@p54 @p51 @p50 @p48 @p47 @p45 @p9 @p44 @p42 @p9 @p41 @p39 @p38 @p36) :args ((or @t107 @t105) (@list false false false false false true false false true false false false false) (@list @t123 @t117 @t120 @t114 @t116 @t41 @t111 @t113 @t41 @t109 @t110 @t103 @t108))) % 0.45/0.65 (step @p56 :rule instantiate :premises (@p18) :args (@t121)) % 0.45/0.65 (step @p57 :rule cnf_or_pos :args (@t127)) % 0.45/0.65 (step @p58 :rule factoring :premises (@p57)) % 0.45/0.65 (step @p59 :rule reordering :premises (@p58) :args ((or @t126 @t122 @t124 (not @t127)))) % 0.45/0.65 (step @p60 :rule instantiate :premises (@p15) :args (@t102)) % 0.45/0.65 (step @p61 :rule cnf_or_pos :args (@t130)) % 0.45/0.65 (step @p62 :rule reordering :premises (@p61) :args ((or @t129 @t125 @t103 (not @t130)))) % 0.45/0.65 (step @p63 :rule instantiate :premises (@p7) :args (@t102)) % 0.45/0.65 (step @p64 :rule instantiate :premises (@p12) :args (@t102)) % 0.45/0.65 (step @p65 :rule instantiate :premises (@p3) :args (@t102)) % 0.45/0.65 (step @p66 :rule cnf_or_pos :args (@t135)) % 0.45/0.65 (step @p67 :rule reordering :premises (@p66) :args ((or @t131 @t134 @t132 (not @t135)))) % 0.45/0.65 (step @p68 :rule instantiate :premises (@p3) :args (@t78)) % 0.45/0.65 (step @p69 :rule instantiate :premises (@p8) :args (@t102)) % 0.45/0.65 (step @p70 :rule cnf_or_pos :args (@t139)) % 0.45/0.65 (step @p71 :rule reordering :premises (@p70) :args ((or @t131 @t136 @t138 (not @t139)))) % 0.45/0.65 (step @p72 :rule instantiate :premises (@p5) :args (@t121)) % 0.45/0.65 (step @p73 :rule cnf_or_pos :args (@t142)) % 0.45/0.65 (step @p74 :rule factoring :premises (@p73)) % 0.45/0.65 (step @p75 :rule reordering :premises (@p74) :args ((or @t141 @t140 @t122 (not @t142)))) % 0.45/0.65 (step @p76 :rule instantiate :premises (@p13) :args (@t102)) % 0.45/0.65 (step @p77 :rule cnf_or_pos :args (@t143)) % 0.45/0.65 (step @p78 :rule reordering :premises (@p77) :args ((or @t141 @t140 @t117 (not @t143)))) % 0.45/0.65 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p75 @p72 @p71 @p69 @p68 @p67 @p65 @p64) :args (@t131 @t101 (@list @t143 @t117 @t142 @t136 @t139 @t137 @t132 @t133 @t135))) % 0.45/0.65 (step @p80 :rule cnf_or_pos :args (@t146)) % 0.45/0.65 (step @p81 :rule reordering :premises (@p80) :args ((or @t145 @t144 @t128 (not @t146)))) % 0.45/0.65 (step @p82 :rule instantiate :premises (@p12) :args (@t78)) % 0.45/0.65 (step @p83 :rule cnf_or_pos :args (@t148)) % 0.45/0.65 (step @p84 :rule reordering :premises (@p83) :args ((or @t136 @t147 @t138 (not @t148)))) % 0.45/0.65 (step @p85 :rule instantiate :premises (@p8) :args (@t78)) % 0.45/0.65 (step @p86 :rule cnf_or_pos :args (@t149)) % 0.45/0.65 (step @p87 :rule reordering :premises (@p86) :args ((or @t147 @t83 @t85 (not @t149)))) % 0.45/0.65 (step @p88 :rule instantiate :premises (@p5) :args (@t150)) % 0.45/0.65 (step @p89 :rule cnf_or_pos :args (@t153)) % 0.45/0.65 (step @p90 :rule factoring :premises (@p89)) % 0.45/0.65 (step @p91 :rule reordering :premises (@p90) :args ((or @t140 @t98 @t152 (not @t153)))) % 0.45/0.65 (step @p92 :rule instantiate :premises (@p13) :args (@t78)) % 0.45/0.65 (step @p93 :rule cnf_or_pos :args (@t154)) % 0.45/0.65 (step @p94 :rule reordering :premises (@p93) :args ((or @t140 @t98 @t151 (not @t154)))) % 0.45/0.65 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p91 @p88) :args ((or @t140 @t98) @t155 (@list @t154 @t151 @t153))) % 0.45/0.65 (step @p96 :rule chain_m_resolution :premises (@p95 @p87 @p85 @p21 @p84 @p68 @p82) :args (@t147 @t156 (@list @t83 @t149 @t84 @t136 @t137 @t148))) % 0.45/0.65 (step @p97 :rule instantiate :premises (@p6) :args (@t102)) % 0.45/0.65 (step @p98 :rule cnf_or_pos :args (@t159)) % 0.45/0.65 (step @p99 :rule reordering :premises (@p98) :args ((or @t128 @t158 @t157 (not @t159)))) % 0.45/0.65 (step @p100 :rule instantiate :premises (@p11) :args (@t121)) % 0.45/0.65 (step @p101 :rule cnf_or_pos :args (@t162)) % 0.45/0.65 (step @p102 :rule factoring :premises (@p101)) % 0.45/0.65 (step @p103 :rule reordering :premises (@p102) :args ((or @t160 @t122 @t161 (not @t162)))) % 0.45/0.65 (step @p104 :rule chain_m_resolution :premises (@p103 @p100 @p99 @p97 @p96 @p81 @p79 @p63 @p62 @p60 @p44 @p42 @p9 @p59 @p56 @p54 @p51) :args ((or @t118 @t122 @t124) (@list false false false false false false false true false true false true true false true false) (@list @t162 @t157 @t159 @t147 @t144 @t131 @t146 @t128 @t130 @t103 @t113 @t41 @t125 @t127 @t111 @t123))) % 0.45/0.65 (step @p105 :rule instantiate :premises (@p2) :args (@t102)) % 0.45/0.65 (step @p106 :rule cnf_or_pos :args (@t163)) % 0.45/0.65 (step @p107 :rule reordering :premises (@p106) :args ((or @t126 @t117 @t124 (not @t163)))) % 0.45/0.65 (step @p108 :rule instantiate :premises (@p4) :args (@t102)) % 0.45/0.65 (step @p109 :rule cnf_or_pos :args (@t164)) % 0.45/0.65 (step @p110 :rule reordering :premises (@p109) :args ((or @t160 @t117 @t161 (not @t164)))) % 0.45/0.65 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p99 @p97 @p96 @p81 @p79 @p63 @p62 @p60 @p44 @p42 @p9 @p107 @p105 @p50 @p48 @p104) :args ((or @t118 @t124) (@list false false false false false false false true false true false true true false true false true) (@list @t164 @t157 @t159 @t147 @t144 @t131 @t146 @t128 @t130 @t103 @t113 @t41 @t125 @t163 @t111 @t120 @t117))) % 0.45/0.65 (assume-push @p182 @t47) % 0.45/0.65 (step-pop @p183 :rule scope :premises (@p45)) % 0.45/0.65 (step @p113 :rule process_scope :premises (@p183) :args (@t116)) % 0.45/0.65 (step @p115 :rule implies_elim :premises (@p113)) % 0.45/0.65 (step @p116 :rule instantiate :premises (@p14) :args (@t78)) % 0.45/0.65 (step @p117 :rule cnf_or_pos :args (@t168)) % 0.45/0.65 (step @p118 :rule reordering :premises (@p117) :args ((or @t109 @t167 @t165 (not @t168)))) % 0.45/0.65 (step @p119 :rule instantiate :premises (@p2) :args (@t78)) % 0.45/0.65 (step @p120 :rule cnf_or_pos :args (@t170)) % 0.45/0.65 (step @p121 :rule reordering :premises (@p120) :args ((or @t124 @t169 @t151 (not @t170)))) % 0.45/0.65 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p118 @p116 @p41 @p39) :args ((or @t109 @t107 @t167 @t151) @t171 (@list @t170 @t165 @t168 @t105 @t110))) % 0.45/0.65 (step @p123 :rule instantiate :premises (@p4) :args (@t78)) % 0.45/0.65 (step @p124 :rule cnf_or_pos :args (@t174)) % 0.45/0.65 (step @p125 :rule reordering :premises (@p124) :args ((or @t161 @t151 @t173 (not @t174)))) % 0.45/0.65 (step @p126 :rule instantiate :premises (@p7) :args (@t80)) % 0.45/0.65 (step @p127 :rule cnf_or_pos :args (@t176)) % 0.45/0.65 (step @p128 :rule reordering :premises (@p127) :args ((or @t166 @t175 @t172 (not @t176)))) % 0.45/0.65 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p125 @p123 @p122 @p47 @p9 @p115 @p10 @p111 @p55) :args ((or @t107 @t161 @t151 @t175) (@list false true false true true true false false true false) (@list @t176 @t172 @t174 @t166 @t109 @t41 @t116 @t47 @t114 @t105))) % 0.45/0.65 (step @p130 :rule cnf_or_pos :args (@t177)) % 0.45/0.65 (step @p131 :rule reordering :premises (@p130) :args ((or @t158 @t157 @t106 (not @t177)))) % 0.45/0.65 (step @p132 :rule instantiate :premises (@p6) :args (@t78)) % 0.45/0.65 (step @p133 :rule cnf_or_pos :args (@t178)) % 0.45/0.65 (step @p134 :rule reordering :premises (@p133) :args ((or @t106 @t175 @t172 (not @t178)))) % 0.45/0.65 (step @p135 :rule chain_m_resolution :premises (@p125 @p123 @p134 @p132 @p131 @p19) :args ((or @t158 @t106 @t151 @t175) @t171 (@list @t174 @t172 @t178 @t157 @t177))) % 0.45/0.65 (step @p136 :rule chain_m_resolution :premises (@p135 @p35 @p96 @p129 @p35) :args ((or @t161 @t151) (@list false false true false) (@list @t82 @t147 @t106 @t82))) % 0.45/0.65 (step @p137 :rule instantiate :premises (@p11) :args (@t150)) % 0.45/0.65 (step @p138 :rule cnf_or_pos :args (@t179)) % 0.45/0.65 (step @p139 :rule factoring :premises (@p138)) % 0.45/0.65 (step @p140 :rule reordering :premises (@p139) :args ((or @t161 @t152 @t173 (not @t179)))) % 0.45/0.65 (step @p141 :rule instantiate :premises (@p18) :args (@t150)) % 0.45/0.65 (step @p142 :rule cnf_or_pos :args (@t180)) % 0.45/0.65 (step @p143 :rule factoring :premises (@p142)) % 0.45/0.65 (step @p144 :rule reordering :premises (@p143) :args ((or @t124 @t169 @t152 (not @t180)))) % 0.45/0.65 (step @p145 :rule chain_m_resolution :premises (@p118 @p116 @p128 @p126 @p35 @p144 @p141 @p140 @p137 @p47 @p9 @p115 @p10 @p111) :args ((or @t161 @t124 @t152) (@list false false false false true false true false true true false false true) (@list @t168 @t166 @t176 @t82 @t165 @t180 @t172 @t179 @t109 @t41 @t116 @t47 @t114))) % 0.45/0.65 (step @p146 :rule chain_m_resolution :premises (@p55 @p134 @p132 @p35 @p145 @p140 @p137 @p136) :args (@t161 (@list false false false true true false false) (@list @t106 @t178 @t82 @t105 @t172 @t179 @t151))) % 0.45/0.65 (step @p147 :rule chain_m_resolution :premises (@p131 @p96 @p146 @p19) :args (@t106 @t155 (@list @t147 @t157 @t177))) % 0.45/0.65 (step @p148 :rule chain_m_resolution :premises (@p55 @p147) :args (@t105 @t181 (@list @t106))) % 0.45/0.65 (step @p149 :rule instantiate :premises (@p12) :args (@t88)) % 0.45/0.65 (step @p150 :rule cnf_or_pos :args (@t183)) % 0.45/0.65 (step @p151 :rule reordering :premises (@p150) :args ((or @t182 @t92 @t90 (not @t183)))) % 0.45/0.65 (step @p152 :rule instantiate :premises (@p3) :args ((@list @t184))) % 0.45/0.65 (step @p153 :rule instantiate :premises (@p8) :args (@t88)) % 0.45/0.65 (step @p154 :rule cnf_or_pos :args (@t189)) % 0.45/0.65 (step @p155 :rule reordering :premises (@p154) :args ((or @t182 @t188 @t186 (not @t189)))) % 0.45/0.65 (step @p156 :rule instantiate :premises (@p5) :args ((@list @t87 @t87 @t87 @t87 @t87))) % 0.45/0.65 (step @p157 :rule cnf_or_pos :args (@t193)) % 0.45/0.65 (step @p158 :rule factoring :premises (@p157)) % 0.45/0.65 (step @p159 :rule reordering :premises (@p158) :args ((or @t192 @t97 @t191 (not @t193)))) % 0.45/0.65 (step @p160 :rule chain_m_resolution :premises (@p159 @p156 @p155 @p153 @p152 @p151 @p149 @p24) :args ((or @t182 @t191) (@list false false false false false false false) (@list @t193 @t186 @t189 @t187 @t90 @t183 @t91))) % 0.45/0.65 (step @p161 :rule instantiate :premises (@p13) :args (@t88)) % 0.45/0.65 (step @p162 :rule cnf_or_pos :args (@t194)) % 0.45/0.65 (step @p163 :rule reordering :premises (@p162) :args ((or @t192 @t97 @t190 (not @t194)))) % 0.45/0.65 (step @p164 :rule chain_m_resolution :premises (@p163 @p161 @p160 @p155 @p153 @p152 @p151 @p149 @p24) :args (@t182 (@list false true false false false false false false) (@list @t194 @t190 @t186 @t189 @t187 @t90 @t183 @t91))) % 0.45/0.65 (step @p165 :rule instantiate :premises (@p6) :args (@t80)) % 0.45/0.65 (step @p166 :rule cnf_or_pos :args (@t197)) % 0.45/0.65 (step @p167 :rule reordering :premises (@p166) :args ((or @t166 @t196 @t195 (not @t197)))) % 0.45/0.65 (step @p168 :rule instantiate :premises (@p11) :args (@t94)) % 0.45/0.65 (step @p169 :rule cnf_or_pos :args (@t199)) % 0.45/0.65 (step @p170 :rule factoring :premises (@p169)) % 0.45/0.65 (step @p171 :rule reordering :premises (@p170) :args ((or @t173 @t198 @t96 (not @t199)))) % 0.45/0.65 (step @p172 :rule instantiate :premises (@p4) :args (@t80)) % 0.45/0.65 (step @p173 :rule cnf_or_pos :args (@t200)) % 0.45/0.65 (step @p174 :rule reordering :premises (@p173) :args ((or @t173 @t198 @t95 (not @t200)))) % 0.45/0.65 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p171 @p168) :args ((or @t173 @t198) @t155 (@list @t200 @t95 @t199))) % 0.45/0.65 (step @p176 :rule chain_m_resolution :premises (@p175 @p167 @p165 @p164 @p128 @p126 @p35) :args (@t166 @t156 (@list @t195 @t197 @t182 @t172 @t176 @t82))) % 0.45/0.65 (step @p177 :rule chain_m_resolution :premises (@p111 @p148) :args (@t118 @t181 (@list @t105))) % 0.45/0.65 (step @p178 :rule chain_m_resolution :premises (@p47 @p9 @p177 @p45) :args (@t115 (@list true true false) (@list @t41 @t114 @t116))) % 0.45/0.65 (step @p179 :rule chain_m_resolution :premises (@p122 @p178 @p147 @p176) :args (@t151 @t201 (@list @t109 @t106 @t166))) % 0.45/0.65 (step @p180 :rule chain_m_resolution :premises (@p118 @p178 @p176 @p116) :args (@t165 @t201 (@list @t109 @t166 @t168))) % 0.45/0.65 (step @p181 false :rule chain_m_resolution :premises (@p144 @p180 @p179 @p141 @p148) :args (false (@list false false false false) (@list @t165 @t151 @t180 @t105))) % 0.45/0.65 ) % 0.45/0.65 % SZS output end Proof % 0.45/0.65 % cvc5 exiting %------------------------------------------------------------------------------