%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO745+1 : TPTP v9.2.1. Released v7.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 09:13:26 AM UTC 2026 % Result : Unsatisfiable 205.65s 205.83s % Output : Proof 205.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO745+1 : TPTP v9.2.1. Released v7.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 00:43:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.32/15.54 --- Run --no-e-matching --full-saturate-quant at 6... % 21.33/21.57 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.33/27.59 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.44/33.65 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.56/63.70 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.55/78.75 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.64/111.82 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 126.97/127.19 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.15/157.34 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 172.15/172.37 --- Run --relevant-triggers --full-saturate-quant at 30... % 202.25/202.43 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 205.65/205.83 % SZS status Unsatisfiable % 205.65/205.83 % SZS output start Proof % 205.65/205.86 ( % 205.65/205.86 (declare-sort $$unsorted 0) % 205.65/205.86 (declare-const tptp.f (-> $$unsorted $$unsorted Bool)) % 205.65/205.86 (define @t1 () (@var "X1" $$unsorted)) % 205.65/205.86 (define @t2 () (@var "Y1" $$unsorted)) % 205.65/205.86 (define @t3 () (tptp.f @t2 @t1)) % 205.65/205.86 (define @t4 () (not @t3)) % 205.65/205.86 (define @t5 () (@var "X2" $$unsorted)) % 205.65/205.86 (define @t6 () (tptp.f @t5 @t1)) % 205.65/205.86 (define @t7 () (@list @t5)) % 205.65/205.86 (define @t8 () (@list @t1)) % 205.65/205.86 (define @t9 () (forall @t8 (or (forall @t7 @t6) @t4))) % 205.65/205.86 (define @t10 () (tptp.f @t2 @t2)) % 205.65/205.86 (define @t11 () (and @t10 @t9)) % 205.65/205.86 (define @t12 () (@list @t2)) % 205.65/205.86 (define @t13 () (exists @t12 @t11)) % 205.65/205.86 (define @t14 () (tptp.f @t1 @t1)) % 205.65/205.86 (define @t15 () (tptp.f @t1 @t2)) % 205.65/205.86 (define @t16 () (not @t15)) % 205.65/205.86 (define @t17 () (@var "Y2" $$unsorted)) % 205.65/205.86 (define @t18 () (tptp.f @t2 @t17)) % 205.65/205.86 (define @t19 () (not @t18)) % 205.65/205.86 (define @t20 () (@list @t17)) % 205.65/205.86 (define @t21 () (exists @t20 @t19)) % 205.65/205.86 (define @t22 () (and @t21 @t3)) % 205.65/205.86 (define @t23 () (exists @t12 @t22)) % 205.65/205.86 (define @t24 () (forall @t8 @t23)) % 205.65/205.86 (define @t25 () (@var "X3" $$unsorted)) % 205.65/205.86 (define @t26 () (tptp.f @t25 @t1)) % 205.65/205.86 (define @t27 () (tptp.f @t25 @t5)) % 205.65/205.86 (define @t28 () (not @t26)) % 205.65/205.86 (define @t29 () (@list @t25)) % 205.65/205.86 (define @t30 () (@list @t1 @t5)) % 205.65/205.86 (define @t31 () (forall @t30 (or @t6 (forall @t29 (or @t27 @t28))))) % 205.65/205.86 (define @t32 () (@var "Y3" $$unsorted)) % 205.65/205.86 (define @t33 () (tptp.f @t32 @t17)) % 205.65/205.86 (define @t34 () (not @t33)) % 205.65/205.86 (define @t35 () (@list @t32)) % 205.65/205.86 (define @t36 () (exists @t35 @t34)) % 205.65/205.86 (define @t37 () (and @t36 @t18)) % 205.65/205.86 (define @t38 () (exists @t20 @t37)) % 205.65/205.86 (define @t39 () (and @t38 @t4)) % 205.65/205.86 (define @t40 () (exists @t12 @t39)) % 205.65/205.86 (define @t41 () (or @t40 @t14)) % 205.65/205.86 (define @t42 () (forall @t8 @t41)) % 205.65/205.86 (define @t43 () (not @t10)) % 205.65/205.86 (define @t44 () (and @t43 @t15)) % 205.65/205.86 (define @t45 () (exists @t12 @t44)) % 205.65/205.86 (define @t46 () (not (tptp.f @t1 @t5))) % 205.65/205.86 (define @t47 () (forall @t7 (or (forall @t29 @t27) @t46))) % 205.65/205.86 (define @t48 () (or @t47 @t45)) % 205.65/205.86 (define @t49 () (forall @t8 @t48)) % 205.65/205.86 (define @t50 () (tptp.f @t25 @t25)) % 205.65/205.86 (define @t51 () (forall @t29 (or (not (tptp.f @t1 @t25)) @t50))) % 205.65/205.86 (define @t52 () (@var "X5" $$unsorted)) % 205.65/205.86 (define @t53 () (@var "X4" $$unsorted)) % 205.65/205.86 (define @t54 () (forall @t7 (or (forall (@list @t53) (or (not (tptp.f @t53 @t1)) (not (tptp.f @t5 @t53)))) (forall (@list @t52) (or (not (tptp.f @t52 @t5)) (tptp.f @t52 @t52)))))) % 205.65/205.86 (define @t55 () (or @t54 @t51 @t14)) % 205.65/205.86 (define @t56 () (forall @t8 @t55)) % 205.65/205.86 (define @t57 () (not @t14)) % 205.65/205.86 (define @t58 () (forall @t8 (or (forall @t7 (or @t46 (tptp.f @t5 @t5))) (forall @t29 (or @t28 @t50)) @t57))) % 205.65/205.86 (define @t59 () (@var "BOUND_VARIABLE_7664" $$unsorted)) % 205.65/205.86 (define @t60 () (tptp.f @t59 @t59)) % 205.65/205.86 (define @t61 () (not (tptp.f @t1 @t59))) % 205.65/205.86 (define @t62 () (@var "BOUND_VARIABLE_7654" $$unsorted)) % 205.65/205.86 (define @t63 () (tptp.f @t62 @t62)) % 205.65/205.86 (define @t64 () (@var "BOUND_VARIABLE_7650" $$unsorted)) % 205.65/205.86 (define @t65 () (not (tptp.f @t62 @t64))) % 205.65/205.86 (define @t66 () (@var "BOUND_VARIABLE_7652" $$unsorted)) % 205.65/205.86 (define @t67 () (not (tptp.f @t64 @t66))) % 205.65/205.86 (define @t68 () (not (tptp.f @t66 @t1))) % 205.65/205.86 (define @t69 () (or @t14 @t68 @t67 @t65 @t63 @t61 @t60)) % 205.65/205.86 (define @t70 () (or @t61 @t60)) % 205.65/205.86 (define @t71 () (or @t68 @t67 @t65 @t63)) % 205.65/205.86 (define @t72 () (or @t71 @t70 @t14)) % 205.65/205.86 (define @t73 () (@list @t1 @t64 @t66 @t62 @t59)) % 205.65/205.86 (define @t74 () (forall @t73 @t72)) % 205.65/205.86 (define @t75 () (forall (@list @t64 @t66 @t62 @t59) @t72)) % 205.65/205.86 (define @t76 () (forall (@list @t59) @t70)) % 205.65/205.86 (define @t77 () (@list @t25)) % 205.65/205.86 (define @t78 () (forall (@list @t64 @t66 @t62) @t71)) % 205.65/205.86 (define @t79 () (@var "BOUND_VARIABLE_7637" $$unsorted)) % 205.65/205.86 (define @t80 () (@var "BOUND_VARIABLE_7630" $$unsorted)) % 205.65/205.86 (define @t81 () (or @t78 @t76 @t14)) % 205.65/205.86 (define @t82 () (tptp.f @t79 @t79)) % 205.65/205.86 (define @t83 () (not (tptp.f @t79 @t5))) % 205.65/205.86 (define @t84 () (not (tptp.f @t5 @t80))) % 205.65/205.86 (define @t85 () (not (tptp.f @t80 @t1))) % 205.65/205.86 (define @t86 () (or @t85 @t84 @t83 @t82)) % 205.65/205.86 (define @t87 () (@list @t5 @t80 @t79)) % 205.65/205.86 (define @t88 () (or @t83 @t82)) % 205.65/205.86 (define @t89 () (or @t85 @t84)) % 205.65/205.86 (define @t90 () (or @t89 @t88)) % 205.65/205.86 (define @t91 () (forall @t87 @t90)) % 205.65/205.86 (define @t92 () (forall (@list @t80 @t79) @t90)) % 205.65/205.86 (define @t93 () (forall (@list @t79) @t88)) % 205.65/205.86 (define @t94 () (forall (@list @t80) @t89)) % 205.65/205.86 (define @t95 () (or @t94 @t93)) % 205.65/205.86 (define @t96 () (@var "BOUND_VARIABLE_7547" $$unsorted)) % 205.65/205.86 (define @t97 () (not (tptp.f @t96 @t1))) % 205.65/205.86 (define @t98 () (tptp.f @t96 @t5)) % 205.65/205.86 (define @t99 () (or @t98 @t97)) % 205.65/205.86 (define @t100 () (or @t6 @t99)) % 205.65/205.86 (define @t101 () (forall (@list @t1 @t5 @t96) @t100)) % 205.65/205.86 (define @t102 () (@list @t96)) % 205.65/205.86 (define @t103 () (forall @t102 @t100)) % 205.65/205.86 (define @t104 () (forall @t102 @t99)) % 205.65/205.86 (define @t105 () (or @t6 @t104)) % 205.65/205.86 (define @t106 () (@var "BOUND_VARIABLE_7585" $$unsorted)) % 205.65/205.86 (define @t107 () (not (tptp.f @t2 @t106))) % 205.65/205.86 (define @t108 () (@var "BOUND_VARIABLE_7587" $$unsorted)) % 205.65/205.86 (define @t109 () (tptp.f @t108 @t106)) % 205.65/205.86 (define @t110 () (@var "BOUND_VARIABLE_7506" $$unsorted)) % 205.65/205.86 (define @t111 () (tptp.f @t110 @t1)) % 205.65/205.86 (define @t112 () (or @t111 @t4)) % 205.65/205.86 (define @t113 () (@list @t1 @t110)) % 205.65/205.86 (define @t114 () (forall @t113 @t112)) % 205.65/205.86 (define @t115 () (@quantifiers_skolemize (forall @t12 (or @t43 (not @t114))) 0)) % 205.65/205.86 (define @t116 () (@var "BOUND_VARIABLE_7538" $$unsorted)) % 205.65/205.86 (define @t117 () (tptp.f @t2 @t116)) % 205.65/205.86 (define @t118 () (@list @t2 @t116)) % 205.65/205.86 (define @t119 () (forall @t118 (or @t117 (not (tptp.f @t2 @t115))))) % 205.65/205.86 (define @t120 () (@quantifiers_skolemize @t119 1)) % 205.65/205.86 (define @t121 () (forall @t12 (or @t10 (not (tptp.f @t120 @t2))))) % 205.65/205.86 (define @t122 () (@quantifiers_skolemize @t121 0)) % 205.65/205.86 (define @t123 () (@list @t2 @t106 @t108)) % 205.65/205.86 (define @t124 () (forall @t123 (or (tptp.f @t2 @t122) @t109 @t107))) % 205.65/205.86 (define @t125 () (@quantifiers_skolemize @t124 0)) % 205.65/205.86 (define @t126 () (forall @t12 (or @t10 (not (tptp.f @t125 @t2))))) % 205.65/205.86 (define @t127 () (@quantifiers_skolemize @t126 0)) % 205.65/205.86 (define @t128 () (forall @t123 (or (tptp.f @t2 @t127) @t109 @t107))) % 205.65/205.86 (define @t129 () (@quantifiers_skolemize @t128 1)) % 205.65/205.86 (define @t130 () (forall @t123 (or (tptp.f @t2 @t129) @t109 @t107))) % 205.65/205.86 (define @t131 () (@quantifiers_skolemize @t130 1)) % 205.65/205.86 (define @t132 () (forall @t123 (or (tptp.f @t2 @t131) @t109 @t107))) % 205.65/205.86 (define @t133 () (@quantifiers_skolemize @t132 0)) % 205.65/205.86 (define @t134 () (forall @t12 (or @t10 (not (tptp.f @t133 @t2))))) % 205.65/205.86 (define @t135 () (@quantifiers_skolemize @t134 0)) % 205.65/205.86 (define @t136 () (@var "BOUND_VARIABLE_7616" $$unsorted)) % 205.65/205.86 (define @t137 () (not (tptp.f @t1 @t136))) % 205.65/205.86 (define @t138 () (@var "BOUND_VARIABLE_7618" $$unsorted)) % 205.65/205.86 (define @t139 () (tptp.f @t138 @t136)) % 205.65/205.86 (define @t140 () (not (forall @t12 (or @t10 @t16)))) % 205.65/205.86 (define @t141 () (or @t139 @t137)) % 205.65/205.86 (define @t142 () (or @t141 @t140)) % 205.65/205.86 (define @t143 () (forall (@list @t1 @t136 @t138) @t142)) % 205.65/205.86 (define @t144 () (@list @t136 @t138)) % 205.65/205.86 (define @t145 () (forall @t144 @t142)) % 205.65/205.86 (define @t146 () (forall @t144 @t141)) % 205.65/205.86 (define @t147 () (@var "BOUND_VARIABLE_7602" $$unsorted)) % 205.65/205.86 (define @t148 () (or @t146 @t140)) % 205.65/205.86 (define @t149 () (tptp.f @t147 @t5)) % 205.65/205.86 (define @t150 () (or @t149 @t46)) % 205.65/205.86 (define @t151 () (forall (@list @t5 @t147) @t150)) % 205.65/205.86 (define @t152 () (forall @t12 (not @t44))) % 205.65/205.86 (define @t153 () (not @t152)) % 205.65/205.86 (define @t154 () (@list @t147)) % 205.65/205.86 (define @t155 () (forall @t154 @t150)) % 205.65/205.86 (define @t156 () (forall @t154 @t149)) % 205.65/205.86 (define @t157 () (or @t156 @t46)) % 205.65/205.86 (define @t158 () (@quantifiers_skolemize @t132 1)) % 205.65/205.86 (define @t159 () (and @t10 @t114)) % 205.65/205.86 (define @t160 () (forall @t12 (not @t159))) % 205.65/205.86 (define @t161 () (not @t160)) % 205.65/205.86 (define @t162 () (@list @t110)) % 205.65/205.86 (define @t163 () (forall @t162 @t112)) % 205.65/205.86 (define @t164 () (forall @t162 @t111)) % 205.65/205.86 (define @t165 () (@list @t5)) % 205.65/205.86 (define @t166 () (or @t164 @t4)) % 205.65/205.86 (define @t167 () (forall @t113 (or @t111 (not (tptp.f @t115 @t1))))) % 205.65/205.86 (define @t168 () (not @t167)) % 205.65/205.86 (define @t169 () (or (not (tptp.f @t115 @t115)) @t168)) % 205.65/205.86 (define @t170 () (@list true)) % 205.65/205.86 (define @t171 () (@quantifiers_skolemize @t132 2)) % 205.65/205.86 (define @t172 () (or @t109 @t107)) % 205.65/205.86 (define @t173 () (or @t172 @t3)) % 205.65/205.86 (define @t174 () (forall @t123 @t173)) % 205.65/205.86 (define @t175 () (@list @t106 @t108)) % 205.65/205.86 (define @t176 () (forall @t175 @t173)) % 205.65/205.86 (define @t177 () (forall @t175 @t172)) % 205.65/205.86 (define @t178 () (@var "BOUND_VARIABLE_7571" $$unsorted)) % 205.65/205.86 (define @t179 () (or @t177 @t3)) % 205.65/205.86 (define @t180 () (tptp.f @t178 @t17)) % 205.65/205.86 (define @t181 () (or @t180 @t19)) % 205.65/205.86 (define @t182 () (forall (@list @t17 @t178) @t181)) % 205.65/205.86 (define @t183 () (not @t182)) % 205.65/205.86 (define @t184 () (and @t183 @t4)) % 205.65/205.86 (define @t185 () (forall @t12 (not @t184))) % 205.65/205.86 (define @t186 () (not @t185)) % 205.65/205.86 (define @t187 () (@list @t178)) % 205.65/205.86 (define @t188 () (forall @t187 @t181)) % 205.65/205.86 (define @t189 () (forall @t187 @t180)) % 205.65/205.86 (define @t190 () (or @t189 @t19)) % 205.65/205.86 (define @t191 () (forall @t35 @t33)) % 205.65/205.86 (define @t192 () (not @t191)) % 205.65/205.86 (define @t193 () (and @t192 @t18)) % 205.65/205.86 (define @t194 () (forall @t20 (not @t193))) % 205.65/205.86 (define @t195 () (not @t194)) % 205.65/205.86 (define @t196 () (forall @t35 (not @t34))) % 205.65/205.86 (define @t197 () (not @t196)) % 205.65/205.86 (define @t198 () (@quantifiers_skolemize @t130 2)) % 205.65/205.86 (define @t199 () (@var "BOUND_VARIABLE_7682" $$unsorted)) % 205.65/205.86 (define @t200 () (tptp.f @t199 @t199)) % 205.65/205.86 (define @t201 () (not (tptp.f @t199 @t1))) % 205.65/205.86 (define @t202 () (@var "BOUND_VARIABLE_7676" $$unsorted)) % 205.65/205.86 (define @t203 () (tptp.f @t202 @t202)) % 205.65/205.86 (define @t204 () (not (tptp.f @t1 @t202))) % 205.65/205.86 (define @t205 () (or @t201 @t200)) % 205.65/205.86 (define @t206 () (or @t204 @t203)) % 205.65/205.86 (define @t207 () (or @t206 @t205 @t57)) % 205.65/205.86 (define @t208 () (forall (@list @t1 @t202 @t199) @t207)) % 205.65/205.86 (define @t209 () (forall (@list @t202 @t199) @t207)) % 205.65/205.86 (define @t210 () (forall (@list @t199) @t205)) % 205.65/205.86 (define @t211 () (forall (@list @t202) @t206)) % 205.65/205.86 (define @t212 () (or @t211 @t210 @t57)) % 205.65/205.86 (define @t213 () (@quantifiers_skolemize @t128 0)) % 205.65/205.86 (define @t214 () (forall @t12 (or @t10 (not (tptp.f @t213 @t2))))) % 205.65/205.86 (define @t215 () (@quantifiers_skolemize @t214 0)) % 205.65/205.86 (define @t216 () (@quantifiers_skolemize @t128 2)) % 205.65/205.86 (define @t217 () (@quantifiers_skolemize @t124 1)) % 205.65/205.86 (define @t218 () (@list @t125 @t217 @t115)) % 205.65/205.86 (define @t219 () (@quantifiers_skolemize @t124 2)) % 205.65/205.86 (define @t220 () (forall @t123 (or (tptp.f @t2 @t120) @t109 @t107))) % 205.65/205.86 (define @t221 () (@quantifiers_skolemize @t220 0)) % 205.65/205.86 (define @t222 () (forall @t12 (or @t10 (not (tptp.f @t221 @t2))))) % 205.65/205.86 (define @t223 () (@quantifiers_skolemize @t222 0)) % 205.65/205.86 (define @t224 () (@quantifiers_skolemize @t220 2)) % 205.65/205.86 (define @t225 () (@quantifiers_skolemize @t220 1)) % 205.65/205.86 (define @t226 () (tptp.f @t120 @t120)) % 205.65/205.86 (define @t227 () (not @t220)) % 205.65/205.86 (define @t228 () (or @t227 @t226)) % 205.65/205.86 (define @t229 () (tptp.f @t125 @t217)) % 205.65/205.86 (define @t230 () (not @t229)) % 205.65/205.86 (define @t231 () (tptp.f @t115 @t217)) % 205.65/205.86 (define @t232 () (tptp.f @t125 @t120)) % 205.65/205.86 (define @t233 () (or @t232 @t231 @t230)) % 205.65/205.86 (define @t234 () (or @t117 @t4)) % 205.65/205.86 (define @t235 () (@list @t116)) % 205.65/205.86 (define @t236 () (forall @t235 @t234)) % 205.65/205.86 (define @t237 () (forall @t235 @t117)) % 205.65/205.86 (define @t238 () (or @t237 @t4)) % 205.65/205.86 (define @t239 () (forall @t20 @t18)) % 205.65/205.86 (define @t240 () (not @t239)) % 205.65/205.86 (define @t241 () (and @t240 @t3)) % 205.65/205.86 (define @t242 () (forall @t12 (not @t241))) % 205.65/205.86 (define @t243 () (not @t242)) % 205.65/205.86 (define @t244 () (forall @t20 (not @t19))) % 205.65/205.86 (define @t245 () (not @t244)) % 205.65/205.86 (define @t246 () (@quantifiers_skolemize @t119 0)) % 205.65/205.86 (define @t247 () (tptp.f @t246 @t120)) % 205.65/205.86 (define @t248 () (or @t247 (not (tptp.f @t246 @t115)))) % 205.65/205.86 (define @t249 () (not @t226)) % 205.65/205.86 (define @t250 () (not @t121)) % 205.65/205.86 (define @t251 () (or @t250 @t247 @t249)) % 205.65/205.86 (define @t252 () (tptp.f @t120 @t122)) % 205.65/205.86 (define @t253 () (not @t252)) % 205.65/205.86 (define @t254 () (tptp.f @t122 @t122)) % 205.65/205.86 (define @t255 () (or @t254 @t253)) % 205.65/205.86 (define @t256 () (not @t255)) % 205.65/205.86 (define @t257 () (not @t124)) % 205.65/205.86 (define @t258 () (or @t257 @t254)) % 205.65/205.86 (define @t259 () (tptp.f @t219 @t217)) % 205.65/205.86 (define @t260 () (tptp.f @t125 @t122)) % 205.65/205.86 (define @t261 () (or @t260 @t259 @t230)) % 205.65/205.86 (define @t262 () (not @t261)) % 205.65/205.86 (define @t263 () (not @t232)) % 205.65/205.86 (define @t264 () (or @t253 @t263 @t260)) % 205.65/205.86 (define @t265 () (not @t231)) % 205.65/205.86 (define @t266 () (or @t259 @t265)) % 205.65/205.86 (define @t267 () (tptp.f @t221 @t225)) % 205.65/205.86 (define @t268 () (not @t267)) % 205.65/205.86 (define @t269 () (tptp.f @t224 @t225)) % 205.65/205.86 (define @t270 () (tptp.f @t221 @t120)) % 205.65/205.86 (define @t271 () (or @t270 @t269 @t268)) % 205.65/205.86 (define @t272 () (not @t271)) % 205.65/205.86 (define @t273 () (@list @t271)) % 205.65/205.86 (define @t274 () (not @t222)) % 205.65/205.86 (define @t275 () (or @t274 @t269 @t268)) % 205.65/205.86 (define @t276 () (@list true false false)) % 205.65/205.86 (define @t277 () (tptp.f @t221 @t223)) % 205.65/205.86 (define @t278 () (not @t277)) % 205.65/205.86 (define @t279 () (tptp.f @t223 @t223)) % 205.65/205.86 (define @t280 () (or @t279 @t278)) % 205.65/205.86 (define @t281 () (not @t280)) % 205.65/205.86 (define @t282 () (@list @t280)) % 205.65/205.86 (define @t283 () (tptp.f @t120 @t223)) % 205.65/205.86 (define @t284 () (or @t283 @t270 @t278)) % 205.65/205.86 (define @t285 () (not @t283)) % 205.65/205.86 (define @t286 () (or @t279 @t285)) % 205.65/205.86 (define @t287 () (not @t286)) % 205.65/205.86 (define @t288 () (@list true false)) % 205.65/205.86 (define @t289 () (@list @t261)) % 205.65/205.86 (define @t290 () (not @t126)) % 205.65/205.86 (define @t291 () (or @t290 @t231 @t230)) % 205.65/205.86 (define @t292 () (@list false true false)) % 205.65/205.86 (define @t293 () (tptp.f @t125 @t127)) % 205.65/205.86 (define @t294 () (not @t293)) % 205.65/205.86 (define @t295 () (tptp.f @t127 @t127)) % 205.65/205.86 (define @t296 () (or @t295 @t294)) % 205.65/205.86 (define @t297 () (not @t296)) % 205.65/205.86 (define @t298 () (@list @t296)) % 205.65/205.86 (define @t299 () (not @t128)) % 205.65/205.86 (define @t300 () (or @t299 @t295)) % 205.65/205.86 (define @t301 () (tptp.f @t213 @t129)) % 205.65/205.86 (define @t302 () (not @t301)) % 205.65/205.86 (define @t303 () (tptp.f @t216 @t129)) % 205.65/205.86 (define @t304 () (tptp.f @t213 @t127)) % 205.65/205.86 (define @t305 () (or @t304 @t303 @t302)) % 205.65/205.86 (define @t306 () (not @t305)) % 205.65/205.86 (define @t307 () (@list @t305)) % 205.65/205.86 (define @t308 () (not @t214)) % 205.65/205.86 (define @t309 () (or @t308 @t303 @t302)) % 205.65/205.86 (define @t310 () (tptp.f @t213 @t215)) % 205.65/205.86 (define @t311 () (not @t310)) % 205.65/205.86 (define @t312 () (tptp.f @t215 @t215)) % 205.65/205.86 (define @t313 () (or @t312 @t311)) % 205.65/205.86 (define @t314 () (not @t313)) % 205.65/205.86 (define @t315 () (@list @t313)) % 205.65/205.86 (define @t316 () (tptp.f @t122 @t127)) % 205.65/205.86 (define @t317 () (or @t316 @t260 @t294)) % 205.65/205.86 (define @t318 () (not @t316)) % 205.65/205.86 (define @t319 () (tptp.f @t122 @t213)) % 205.65/205.86 (define @t320 () (or @t304 @t319 @t318)) % 205.65/205.86 (define @t321 () (not @t319)) % 205.65/205.86 (define @t322 () (tptp.f @t213 @t213)) % 205.65/205.86 (define @t323 () (not @t322)) % 205.65/205.86 (define @t324 () (or @t323 @t311 @t312 @t321 @t254)) % 205.65/205.86 (define @t325 () (tptp.f @t129 @t129)) % 205.65/205.86 (define @t326 () (not @t325)) % 205.65/205.86 (define @t327 () (forall @t12 (or @t10 (not (tptp.f @t129 @t2))))) % 205.65/205.86 (define @t328 () (not @t327)) % 205.65/205.86 (define @t329 () (or @t328 @t303 @t326)) % 205.65/205.86 (define @t330 () (@quantifiers_skolemize @t327 0)) % 205.65/205.86 (define @t331 () (tptp.f @t129 @t330)) % 205.65/205.86 (define @t332 () (not @t331)) % 205.65/205.86 (define @t333 () (tptp.f @t330 @t330)) % 205.65/205.86 (define @t334 () (or @t333 @t332)) % 205.65/205.86 (define @t335 () (not @t334)) % 205.65/205.86 (define @t336 () (or @t326 @t332 @t333 @t302 @t322)) % 205.65/205.86 (define @t337 () (not @t130)) % 205.65/205.86 (define @t338 () (or @t337 @t325)) % 205.65/205.86 (define @t339 () (@quantifiers_skolemize @t130 0)) % 205.65/205.86 (define @t340 () (tptp.f @t339 @t131)) % 205.65/205.86 (define @t341 () (not @t340)) % 205.65/205.86 (define @t342 () (tptp.f @t198 @t131)) % 205.65/205.86 (define @t343 () (tptp.f @t339 @t129)) % 205.65/205.86 (define @t344 () (or @t343 @t342 @t341)) % 205.65/205.86 (define @t345 () (not @t344)) % 205.65/205.86 (define @t346 () (@list @t344)) % 205.65/205.86 (define @t347 () (tptp.f @t115 @t131)) % 205.65/205.86 (define @t348 () (not @t347)) % 205.65/205.86 (define @t349 () (or @t342 @t348)) % 205.65/205.86 (define @t350 () (tptp.f @t131 @t131)) % 205.65/205.86 (define @t351 () (not @t350)) % 205.65/205.86 (define @t352 () (forall @t12 (or @t10 (not (tptp.f @t131 @t2))))) % 205.65/205.86 (define @t353 () (not @t352)) % 205.65/205.86 (define @t354 () (or @t353 @t347 @t351)) % 205.65/205.86 (define @t355 () (@quantifiers_skolemize @t352 0)) % 205.65/205.86 (define @t356 () (tptp.f @t131 @t355)) % 205.65/205.86 (define @t357 () (not @t356)) % 205.65/205.86 (define @t358 () (tptp.f @t355 @t355)) % 205.65/205.86 (define @t359 () (or @t358 @t357)) % 205.65/205.86 (define @t360 () (not @t359)) % 205.65/205.86 (define @t361 () (tptp.f @t213 @t339)) % 205.65/205.86 (define @t362 () (or @t343 @t361 @t302)) % 205.65/205.86 (define @t363 () (tptp.f @t213 @t131)) % 205.65/205.86 (define @t364 () (not @t361)) % 205.65/205.86 (define @t365 () (or @t341 @t364 @t363)) % 205.65/205.86 (define @t366 () (not @t363)) % 205.65/205.86 (define @t367 () (or @t351 @t357 @t358 @t366 @t322)) % 205.65/205.86 (define @t368 () (not @t132)) % 205.65/205.86 (define @t369 () (or @t368 @t350)) % 205.65/205.86 (define @t370 () (tptp.f @t133 @t158)) % 205.65/205.86 (define @t371 () (not @t370)) % 205.65/205.86 (define @t372 () (tptp.f @t171 @t158)) % 205.65/205.86 (define @t373 () (tptp.f @t133 @t131)) % 205.65/205.86 (define @t374 () (or @t373 @t372 @t371)) % 205.65/205.86 (define @t375 () (not @t374)) % 205.65/205.86 (define @t376 () (@list @t374)) % 205.65/205.86 (define @t377 () (tptp.f @t115 @t158)) % 205.65/205.86 (define @t378 () (not @t377)) % 205.65/205.86 (define @t379 () (or @t372 @t378)) % 205.65/205.86 (define @t380 () (not @t134)) % 205.65/205.86 (define @t381 () (or @t380 @t377 @t371)) % 205.65/205.86 (define @t382 () (tptp.f @t133 @t135)) % 205.65/205.86 (define @t383 () (not @t382)) % 205.65/205.86 (define @t384 () (tptp.f @t135 @t135)) % 205.65/205.86 (define @t385 () (or @t384 @t383)) % 205.65/205.86 (define @t386 () (not @t385)) % 205.65/205.86 (define @t387 () (@list @t385)) % 205.65/205.86 (define @t388 () (tptp.f @t131 @t135)) % 205.65/205.86 (define @t389 () (or @t388 @t373 @t383)) % 205.65/205.86 (define @t390 () (not @t388)) % 205.65/205.86 (define @t391 () (or @t350 @t341 @t364 @t321 @t254 @t390 @t384)) % 205.65/205.86 (define @t392 () (not @t391)) % 205.65/205.86 (define @t393 () (forall @t73 @t69)) % 205.65/205.86 (assume @p1 @t13) % 205.65/205.86 (assume @p2 (exists @t12 (forall @t8 (or @t16 @t14)))) % 205.65/205.86 (assume @p3 @t24) % 205.65/205.86 (assume @p4 (forall (@list @t1 @t5 @t25) (or (not @t6) (not @t27) @t26))) % 205.65/205.86 (assume @p5 @t31) % 205.65/205.86 (assume @p6 @t42) % 205.65/205.86 (assume @p7 @t49) % 205.65/205.86 (assume @p8 @t56) % 205.65/205.86 (assume @p9 @t58) % 205.65/205.86 (step @p10 :rule aci_norm :args ((= @t72 @t69))) % 205.65/205.86 (step @p11 :rule cong :premises (@p10) :args (@t74)) % 205.65/205.86 (step @p12 :rule quant-merge-prenex :args ((= (forall @t8 @t75) @t74))) % 205.65/205.86 (step @p13 :rule refl :args (@t14)) % 205.65/205.86 (step @p14 :rule alpha_equiv :args (@t76 (@list @t59) @t77)) % 205.65/205.86 (step @p15 :rule alpha_equiv :args (@t78 (@list @t64 @t66 @t62) (@list @t5 @t80 @t79))) % 205.65/205.86 (step @p16 :rule nary_cong :premises (@p15 @p14 @p13) :args (@t81)) % 205.65/205.86 (step @p17 :rule quant-miniscope-or :args ((= @t75 @t81))) % 205.65/205.86 (step @p18 :rule trans :premises (@p17 @p16)) % 205.65/205.86 (step @p19 :rule symm :premises (@p18)) % 205.65/205.86 (step @p20 :rule cong :premises (@p19) :args ((forall @t8 (or (forall @t87 @t86) @t51 @t14)))) % 205.65/205.86 (step @p21 :rule trans :premises (@p20 @p12)) % 205.65/205.86 (step @p22 :rule trans :premises (@p21 @p11)) % 205.65/205.86 (step @p23 :rule refl :args (@t14)) % 205.65/205.86 (step @p24 :rule refl :args (@t51)) % 205.65/205.86 (step @p25 :rule aci_norm :args ((= @t90 @t86))) % 205.65/205.86 (step @p26 :rule cong :premises (@p25) :args (@t91)) % 205.65/205.86 (step @p27 :rule quant-merge-prenex :args ((= (forall @t7 @t92) @t91))) % 205.65/205.86 (step @p28 :rule alpha_equiv :args (@t93 (@list @t79) (@list @t52))) % 205.65/205.86 (step @p29 :rule alpha_equiv :args (@t94 (@list @t80) (@list @t53))) % 205.65/205.86 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t95)) % 205.65/205.86 (step @p31 :rule quant-miniscope-or :args ((= @t92 @t95))) % 205.65/205.86 (step @p32 :rule trans :premises (@p31 @p30)) % 205.65/205.86 (step @p33 :rule symm :premises (@p32)) % 205.65/205.86 (step @p34 :rule cong :premises (@p33) :args (@t54)) % 205.65/205.86 (step @p35 :rule trans :premises (@p34 @p27)) % 205.65/205.86 (step @p36 :rule trans :premises (@p35 @p26)) % 205.65/205.86 (step @p37 :rule nary_cong :premises (@p36 @p24 @p23) :args (@t55)) % 205.65/205.86 (step @p38 :rule cong :premises (@p37) :args (@t56)) % 205.65/205.86 (step @p39 :rule trans :premises (@p38 @p22)) % 205.65/205.86 (step @p40 :rule eq_resolve :premises (@p8 @p39)) % 205.65/205.86 (step @p41 :rule aci_norm :args ((= @t100 (or @t6 @t98 @t97)))) % 205.65/205.86 (step @p42 :rule cong :premises (@p41) :args (@t101)) % 205.65/205.86 (step @p43 :rule quant-merge-prenex :args ((= (forall @t30 @t103) @t101))) % 205.65/205.86 (step @p44 :rule alpha_equiv :args (@t104 (@list @t96) @t77)) % 205.65/205.86 (step @p45 :rule refl :args (@t6)) % 205.65/205.86 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t105)) % 205.65/205.86 (step @p47 :rule quant-miniscope-or :args ((= @t103 @t105))) % 205.65/205.86 (step @p48 :rule trans :premises (@p47 @p46)) % 205.65/205.86 (step @p49 :rule symm :premises (@p48)) % 205.65/205.86 (step @p50 :rule cong :premises (@p49) :args (@t31)) % 205.65/205.86 (step @p51 :rule trans :premises (@p50 @p43)) % 205.65/205.86 (step @p52 :rule trans :premises (@p51 @p42)) % 205.65/205.86 (step @p53 :rule eq_resolve :premises (@p5 @p52)) % 205.65/205.86 (step @p54 :rule instantiate :premises (@p53) :args ((@list @t135 @t131 @t133))) % 205.65/205.86 (step @p55 :rule aci_norm :args ((= @t142 (or @t140 @t139 @t137)))) % 205.65/205.86 (step @p56 :rule cong :premises (@p55) :args (@t143)) % 205.65/205.86 (step @p57 :rule quant-merge-prenex :args ((= (forall @t8 @t145) @t143))) % 205.65/205.86 (step @p58 :rule refl :args (@t140)) % 205.65/205.86 (step @p59 :rule alpha_equiv :args (@t146 (@list @t136 @t138) (@list @t5 @t147))) % 205.65/205.86 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t148)) % 205.65/205.86 (step @p61 :rule quant-miniscope-or :args ((= @t145 @t148))) % 205.65/205.86 (step @p62 :rule trans :premises (@p61 @p60)) % 205.65/205.86 (step @p63 :rule symm :premises (@p62)) % 205.65/205.86 (step @p64 :rule cong :premises (@p63) :args ((forall @t8 (or @t151 @t140)))) % 205.65/205.86 (step @p65 :rule trans :premises (@p64 @p57)) % 205.65/205.86 (step @p66 :rule trans :premises (@p65 @p56)) % 205.65/205.86 (step @p67 :rule refl :args (@t16)) % 205.65/205.86 (step @p68 :rule bool-double-not-elim :args (@t10)) % 205.65/205.86 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or (not @t43) @t16))) % 205.65/205.86 (step @p70 :rule bool-and-de-morgan :args (@t43 @t15 true)) % 205.65/205.86 (step @p71 :rule trans :premises (@p70 @p69)) % 205.65/205.86 (step @p72 :rule cong :premises (@p71) :args (@t152)) % 205.65/205.86 (step @p73 :rule cong :premises (@p72) :args (@t153)) % 205.65/205.86 (step @p74 :rule exists-elim :args ((= @t45 @t153))) % 205.65/205.86 (step @p75 :rule trans :premises (@p74 @p73)) % 205.65/205.86 (step @p76 :rule quant-merge-prenex :args ((= (forall @t7 @t155) @t151))) % 205.65/205.86 (step @p77 :rule refl :args (@t46)) % 205.65/205.86 (step @p78 :rule alpha_equiv :args (@t156 (@list @t147) @t77)) % 205.65/205.86 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t157)) % 205.65/205.86 (step @p80 :rule quant-miniscope-or :args ((= @t155 @t157))) % 205.65/205.86 (step @p81 :rule trans :premises (@p80 @p79)) % 205.65/205.86 (step @p82 :rule symm :premises (@p81)) % 205.65/205.86 (step @p83 :rule cong :premises (@p82) :args (@t47)) % 205.65/205.86 (step @p84 :rule trans :premises (@p83 @p76)) % 205.65/205.86 (step @p85 :rule nary_cong :premises (@p84 @p75) :args (@t48)) % 205.65/205.86 (step @p86 :rule cong :premises (@p85) :args (@t49)) % 205.65/205.86 (step @p87 :rule trans :premises (@p86 @p66)) % 205.65/205.86 (step @p88 :rule eq_resolve :premises (@p7 @p87)) % 205.65/205.86 (step @p89 :rule instantiate :premises (@p88) :args ((@list @t133 @t158 @t115))) % 205.65/205.86 (step @p90 :rule bool-and-de-morgan :args (@t10 @t114 true)) % 205.65/205.86 (step @p91 :rule cong :premises (@p90) :args (@t160)) % 205.65/205.86 (step @p92 :rule cong :premises (@p91) :args (@t161)) % 205.65/205.86 (step @p93 :rule exists-elim :args ((= (exists @t12 @t159) @t161))) % 205.65/205.86 (step @p94 :rule trans :premises (@p93 @p92)) % 205.65/205.86 (step @p95 :rule quant-merge-prenex :args ((= (forall @t8 @t163) @t114))) % 205.65/205.86 (step @p96 :rule refl :args (@t4)) % 205.65/205.86 (step @p97 :rule alpha_equiv :args (@t164 (@list @t110) @t165)) % 205.65/205.86 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t166)) % 205.65/205.86 (step @p99 :rule quant-miniscope-or :args ((= @t163 @t166))) % 205.65/205.86 (step @p100 :rule trans :premises (@p99 @p98)) % 205.65/205.86 (step @p101 :rule symm :premises (@p100)) % 205.65/205.86 (step @p102 :rule cong :premises (@p101) :args (@t9)) % 205.65/205.86 (step @p103 :rule trans :premises (@p102 @p95)) % 205.65/205.86 (step @p104 :rule refl :args (@t10)) % 205.65/205.86 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t11)) % 205.65/205.86 (step @p106 :rule cong :premises (@p105) :args (@t13)) % 205.65/205.86 (step @p107 :rule trans :premises (@p106 @p94)) % 205.65/205.86 (step @p108 :rule eq_resolve :premises (@p1 @p107)) % 205.65/205.86 (step @p109 :rule skolemize :premises (@p108)) % 205.65/205.86 (step @p110 :rule bool-double-not-elim :args (@t167)) % 205.65/205.86 (step @p111 :rule refl :args (@t169)) % 205.65/205.86 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t169 (not @t168)))) % 205.65/205.86 (step @p113 :rule cnf_or_neg :args (@t169 1)) % 205.65/205.86 (step @p114 :rule eq_resolve :premises (@p113 @p112)) % 205.65/205.86 (step @p115 :rule reordering 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chain_m_resolution :premises (@p532 @p521) :args (@t370 @t170 @t376)) % 205.65/205.86 (step @p534 :rule cnf_or_pos :args (@t381)) % 205.65/205.86 (step @p535 :rule reordering :premises (@p534) :args ((or @t371 @t377 @t380 (not @t381)))) % 205.65/205.86 (step @p536 :rule chain_m_resolution :premises (@p535 @p533 @p526 @p89) :args (@t380 @t292 (@list @t370 @t377 @t381))) % 205.65/205.86 (step @p537 :rule refl :args (@t386)) % 205.65/205.86 (step @p538 :rule bool-double-not-elim :args (@t134)) % 205.65/205.86 (step @p539 :rule nary_cong :premises (@p538 @p537) :args ((or (not @t380) @t386))) % 205.65/205.86 (assume-push @p596 @t380) % 205.65/205.86 (step @p541 :rule skolemize :premises (@p596)) % 205.65/205.86 (step-pop @p597 :rule scope :premises (@p541)) % 205.65/205.86 (step @p542 :rule process_scope :premises (@p597) :args (@t386)) % 205.65/205.86 (step @p544 :rule implies_elim :premises (@p542)) % 205.65/205.86 (step @p545 :rule eq_resolve :premises (@p544 @p539)) % 205.65/205.86 (step @p546 :rule chain_m_resolution :premises (@p545 @p536) :args (@t386 @t170 (@list @t134))) % 205.65/205.86 (step @p547 :rule bool-double-not-elim :args (@t382)) % 205.65/205.86 (step @p548 :rule refl :args (@t385)) % 205.65/205.86 (step @p549 :rule nary_cong :premises (@p548 @p547) :args ((or @t385 (not @t383)))) % 205.65/205.86 (step @p550 :rule cnf_or_neg :args (@t385 1)) % 205.65/205.86 (step @p551 :rule eq_resolve :premises (@p550 @p549)) % 205.65/205.86 (step @p552 :rule reordering :premises (@p551) :args ((or @t382 @t385))) % 205.65/205.86 (step @p553 :rule chain_m_resolution :premises (@p552 @p546) :args (@t382 @t170 @t387)) % 205.65/205.86 (step @p554 :rule cnf_or_neg :args (@t374 0)) % 205.65/205.86 (step @p555 :rule chain_m_resolution :premises (@p554 @p521) :args ((not @t373) @t170 @t376)) % 205.65/205.86 (step @p556 :rule cnf_or_pos :args (@t389)) % 205.65/205.86 (step @p557 :rule reordering :premises (@p556) :args ((or @t373 @t383 @t388 (not @t389)))) % 205.65/205.86 (step @p558 :rule chain_m_resolution :premises (@p557 @p555 @p553 @p54) :args (@t388 @t276 (@list @t373 @t382 @t389))) % 205.65/205.86 (step @p559 :rule cnf_or_neg :args (@t385 0)) % 205.65/205.86 (step @p560 :rule chain_m_resolution :premises (@p559 @p546) :args ((not @t384) @t170 @t387)) % 205.65/205.86 (step @p561 :rule cnf_or_pos :args (@t391)) % 205.65/205.86 (step @p562 :rule reordering :premises (@p561) :args ((or @t254 @t321 @t341 @t364 @t350 @t384 @t390 @t392))) % 205.65/205.86 (step @p563 :rule chain_m_resolution :premises (@p562 @p341 @p423 @p501 @p494 @p508 @p560 @p558) :args (@t392 (@list true false false false true true false) (@list @t254 @t319 @t340 @t361 @t350 @t384 @t388))) % 205.65/205.86 (assume-push @p598 @t393) % 205.65/205.86 (step @p565 :rule instantiate :premises (@p40) :args ((@list @t131 @t213 @t339 @t122 @t135))) % 205.65/205.86 (step-pop @p599 :rule scope :premises (@p565)) % 205.65/205.86 (step @p566 :rule process_scope :premises (@p599) :args (@t391)) % 205.65/205.86 (step @p568 :rule implies_elim :premises (@p566)) % 205.65/205.86 (step @p569 false :rule chain_m_resolution :premises (@p568 @p563 @p40) :args (false @t288 (@list @t391 @t393))) % 205.65/205.86 ) % 205.65/205.86 % SZS output end Proof % 205.65/205.86 % cvc5 exiting %------------------------------------------------------------------------------