%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL642+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:14 AM UTC 2026 % Result : Theorem 126.45s 128.37s % Output : Proof 126.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL642+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.37 % Computer : n007.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Sat Sep 5 12:03:39 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.43 %----Proving TF0_NAR, FOF, or CNF % 126.45/128.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 126.45/128.37 --- Run --no-e-matching --full-saturate-quant at 6... % 126.45/128.37 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 126.45/128.37 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 126.45/128.37 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 126.45/128.37 --- Run --trigger-sel=max --full-saturate-quant at 15... % 126.45/128.37 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 126.45/128.37 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 126.45/128.37 --- Run --prenex-quant=none --full-saturate-quant at 30... % 126.45/128.37 % SZS status Theorem % 126.45/128.37 % SZS output start Proof % 126.45/128.37 ( % 126.45/128.37 (declare-sort $$unsorted 0) % 126.45/128.37 (declare-const tptp.p3 (-> $$unsorted Bool)) % 126.45/128.37 (declare-const tptp.p1 (-> $$unsorted Bool)) % 126.45/128.37 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 126.45/128.37 (declare-const tptp.p2 (-> $$unsorted Bool)) % 126.45/128.37 (define @t1 () (@var "Y" $$unsorted)) % 126.45/128.37 (define @t2 () (tptp.p2 @t1)) % 126.45/128.37 (define @t3 () (not @t2)) % 126.45/128.37 (define @t4 () (@var "X" $$unsorted)) % 126.45/128.37 (define @t5 () (tptp.p2 @t4)) % 126.45/128.37 (define @t6 () (not (tptp.r1 @t1 @t4))) % 126.45/128.37 (define @t7 () (@list @t4)) % 126.45/128.37 (define @t8 () (forall @t7 (or @t6 @t5))) % 126.45/128.37 (define @t9 () (not (tptp.r1 @t4 @t1))) % 126.45/128.37 (define @t10 () (or @t9 @t8 @t3)) % 126.45/128.37 (define @t11 () (@list @t1)) % 126.45/128.37 (define @t12 () (forall @t11 @t10)) % 126.45/128.37 (define @t13 () (not @t12)) % 126.45/128.37 (define @t14 () (or @t6 @t5 @t13)) % 126.45/128.37 (define @t15 () (forall @t7 @t14)) % 126.45/128.37 (define @t16 () (not @t15)) % 126.45/128.37 (define @t17 () (or @t9 @t2 @t16)) % 126.45/128.37 (define @t18 () (forall @t11 @t17)) % 126.45/128.37 (define @t19 () (or @t5 @t13)) % 126.45/128.37 (define @t20 () (not @t5)) % 126.45/128.37 (define @t21 () (forall @t11 (or @t9 @t2))) % 126.45/128.37 (define @t22 () (or @t6 @t21 @t20)) % 126.45/128.37 (define @t23 () (forall @t7 @t22)) % 126.45/128.37 (define @t24 () (not @t23)) % 126.45/128.37 (define @t25 () (or @t9 @t2 @t24)) % 126.45/128.37 (define @t26 () (forall @t11 @t25)) % 126.45/128.37 (define @t27 () (not @t26)) % 126.45/128.37 (define @t28 () (or @t9 @t15)) % 126.45/128.37 (define @t29 () (forall @t11 @t28)) % 126.45/128.37 (define @t30 () (or @t29 @t27)) % 126.45/128.37 (define @t31 () (and @t30 @t19)) % 126.45/128.37 (define @t32 () (not @t31)) % 126.45/128.37 (define @t33 () (or @t2 @t24)) % 126.45/128.37 (define @t34 () (or @t6 @t26)) % 126.45/128.37 (define @t35 () (forall @t7 @t34)) % 126.45/128.37 (define @t36 () (or @t35 @t16)) % 126.45/128.37 (define @t37 () (and @t36 @t33)) % 126.45/128.37 (define @t38 () (or @t9 @t37)) % 126.45/128.37 (define @t39 () (forall @t11 @t38)) % 126.45/128.37 (define @t40 () (or @t6 @t39 @t32)) % 126.45/128.37 (define @t41 () (forall @t7 @t40)) % 126.45/128.37 (define @t42 () (not @t41)) % 126.45/128.37 (define @t43 () (or @t9 @t37 @t42)) % 126.45/128.37 (define @t44 () (forall @t11 @t43)) % 126.45/128.37 (define @t45 () (not @t44)) % 126.45/128.37 (define @t46 () (or @t31 @t45)) % 126.45/128.37 (define @t47 () (and @t46 @t18)) % 126.45/128.37 (define @t48 () (not @t47)) % 126.45/128.37 (define @t49 () (not (tptp.p1 @t4))) % 126.45/128.37 (define @t50 () (tptp.p1 @t1)) % 126.45/128.37 (define @t51 () (forall @t11 (or @t9 @t50))) % 126.45/128.37 (define @t52 () (or @t6 @t51 @t49)) % 126.45/128.37 (define @t53 () (forall @t7 @t52)) % 126.45/128.37 (define @t54 () (not @t53)) % 126.45/128.37 (define @t55 () (or @t9 @t50 @t54)) % 126.45/128.37 (define @t56 () (forall @t11 @t55)) % 126.45/128.37 (define @t57 () (not @t56)) % 126.45/128.37 (define @t58 () (not (tptp.p3 @t4))) % 126.45/128.37 (define @t59 () (tptp.p3 @t1)) % 126.45/128.37 (define @t60 () (forall @t11 (or @t9 @t59))) % 126.45/128.37 (define @t61 () (or @t6 @t60 @t58)) % 126.45/128.37 (define @t62 () (forall @t7 @t61)) % 126.45/128.37 (define @t63 () (not @t62)) % 126.45/128.37 (define @t64 () (or @t9 @t59 @t63)) % 126.45/128.37 (define @t65 () (forall @t11 @t64)) % 126.45/128.37 (define @t66 () (not @t65)) % 126.45/128.37 (define @t67 () (or @t60 @t66 @t21 @t27 @t51 @t57 @t48)) % 126.45/128.37 (define @t68 () (not @t67)) % 126.45/128.37 (define @t69 () (exists @t7 @t68)) % 126.45/128.37 (define @t70 () (@var "BOUND_VARIABLE_7869" $$unsorted)) % 126.45/128.37 (define @t71 () (not (tptp.p2 @t70))) % 126.45/128.37 (define @t72 () (@var "BOUND_VARIABLE_7534" $$unsorted)) % 126.45/128.37 (define @t73 () (tptp.p2 @t72)) % 126.45/128.37 (define @t74 () (@list @t72)) % 126.45/128.37 (define @t75 () (forall @t74 (or (not (tptp.r1 @t70 @t72)) @t73))) % 126.45/128.37 (define @t76 () (@var "BOUND_VARIABLE_7897" $$unsorted)) % 126.45/128.37 (define @t77 () (@list @t70)) % 126.45/128.37 (define @t78 () (not (forall @t77 (or (not (tptp.r1 @t76 @t70)) @t75 @t71)))) % 126.45/128.37 (define @t79 () (tptp.p2 @t76)) % 126.45/128.37 (define @t80 () (@list @t76)) % 126.45/128.37 (define @t81 () (not (forall @t80 (or (not (tptp.r1 @t1 @t76)) @t79 @t78)))) % 126.45/128.37 (define @t82 () (forall @t11 (or @t9 @t2 @t81))) % 126.45/128.37 (define @t83 () (not @t82)) % 126.45/128.37 (define @t84 () (@var "BOUND_VARIABLE_7749" $$unsorted)) % 126.45/128.37 (define @t85 () (not (tptp.p2 @t84))) % 126.45/128.37 (define @t86 () (@var "BOUND_VARIABLE_7645" $$unsorted)) % 126.45/128.37 (define @t87 () (tptp.p2 @t86)) % 126.45/128.37 (define @t88 () (@list @t86)) % 126.45/128.37 (define @t89 () (forall @t88 (or (not (tptp.r1 @t84 @t86)) @t87))) % 126.45/128.37 (define @t90 () (@var "BOUND_VARIABLE_7913" $$unsorted)) % 126.45/128.37 (define @t91 () (@list @t84)) % 126.45/128.37 (define @t92 () (and (not (tptp.p2 @t90)) (forall @t91 (or (not (tptp.r1 @t90 @t84)) @t89 @t85)))) % 126.45/128.37 (define @t93 () (@var "BOUND_VARIABLE_7657" $$unsorted)) % 126.45/128.37 (define @t94 () (not (tptp.p2 @t93))) % 126.45/128.37 (define @t95 () (@var "BOUND_VARIABLE_7506" $$unsorted)) % 126.45/128.37 (define @t96 () (tptp.p2 @t95)) % 126.45/128.37 (define @t97 () (@list @t95)) % 126.45/128.37 (define @t98 () (forall @t97 (or (not (tptp.r1 @t93 @t95)) @t96))) % 126.45/128.37 (define @t99 () (@var "BOUND_VARIABLE_7763" $$unsorted)) % 126.45/128.37 (define @t100 () (@list @t93)) % 126.45/128.37 (define @t101 () (not (forall @t100 (or (not (tptp.r1 @t99 @t93)) @t98 @t94)))) % 126.45/128.37 (define @t102 () (tptp.p2 @t99)) % 126.45/128.37 (define @t103 () (@list @t99)) % 126.45/128.37 (define @t104 () (@var "BOUND_VARIABLE_7549" $$unsorted)) % 126.45/128.37 (define @t105 () (not (tptp.p2 @t104))) % 126.45/128.37 (define @t106 () (forall @t74 (or (not (tptp.r1 @t104 @t72)) @t73))) % 126.45/128.37 (define @t107 () (@var "BOUND_VARIABLE_7674" $$unsorted)) % 126.45/128.37 (define @t108 () (@list @t104)) % 126.45/128.37 (define @t109 () (not (forall @t108 (or (not (tptp.r1 @t107 @t104)) @t106 @t105)))) % 126.45/128.37 (define @t110 () (tptp.p2 @t107)) % 126.45/128.37 (define @t111 () (@var "BOUND_VARIABLE_7776" $$unsorted)) % 126.45/128.37 (define @t112 () (@list @t107)) % 126.45/128.37 (define @t113 () (forall @t112 (or (not (tptp.r1 @t111 @t107)) @t110 @t109))) % 126.45/128.37 (define @t114 () (@list @t111)) % 126.45/128.37 (define @t115 () (and (not (forall @t114 (or (not (tptp.r1 @t90 @t111)) @t113))) (forall @t103 (or (not (tptp.r1 @t90 @t99)) @t102 @t101)))) % 126.45/128.37 (define @t116 () (@var "BOUND_VARIABLE_7692" $$unsorted)) % 126.45/128.37 (define @t117 () (not (tptp.p2 @t116))) % 126.45/128.37 (define @t118 () (@var "BOUND_VARIABLE_7594" $$unsorted)) % 126.45/128.37 (define @t119 () (tptp.p2 @t118)) % 126.45/128.37 (define @t120 () (@list @t118)) % 126.45/128.37 (define @t121 () (forall @t120 (or (not (tptp.r1 @t116 @t118)) @t119))) % 126.45/128.37 (define @t122 () (@var "BOUND_VARIABLE_7789" $$unsorted)) % 126.45/128.37 (define @t123 () (@list @t116)) % 126.45/128.37 (define @t124 () (@var "BOUND_VARIABLE_7606" $$unsorted)) % 126.45/128.37 (define @t125 () (not (tptp.p2 @t124))) % 126.45/128.37 (define @t126 () (forall @t74 (or (not (tptp.r1 @t124 @t72)) @t73))) % 126.45/128.37 (define @t127 () (@var "BOUND_VARIABLE_7707" $$unsorted)) % 126.45/128.37 (define @t128 () (@list @t124)) % 126.45/128.37 (define @t129 () (not (forall @t128 (or (not (tptp.r1 @t127 @t124)) @t126 @t125)))) % 126.45/128.37 (define @t130 () (tptp.p2 @t127)) % 126.45/128.37 (define @t131 () (@list @t127)) % 126.45/128.37 (define @t132 () (@var "BOUND_VARIABLE_7571" $$unsorted)) % 126.45/128.37 (define @t133 () (not (tptp.p2 @t132))) % 126.45/128.37 (define @t134 () (forall @t97 (or (not (tptp.r1 @t132 @t95)) @t96))) % 126.45/128.37 (define @t135 () (@var "BOUND_VARIABLE_7623" $$unsorted)) % 126.45/128.37 (define @t136 () (@list @t132)) % 126.45/128.37 (define @t137 () (not (forall @t136 (or (not (tptp.r1 @t135 @t132)) @t134 @t133)))) % 126.45/128.37 (define @t138 () (tptp.p2 @t135)) % 126.45/128.37 (define @t139 () (@var "BOUND_VARIABLE_7721" $$unsorted)) % 126.45/128.37 (define @t140 () (@list @t135)) % 126.45/128.37 (define @t141 () (forall @t140 (or (not (tptp.r1 @t139 @t135)) @t138 @t137))) % 126.45/128.37 (define @t142 () (@list @t139)) % 126.45/128.37 (define @t143 () (and (or (forall @t142 (or (not (tptp.r1 @t122 @t139)) @t141)) (not (forall @t131 (or (not (tptp.r1 @t122 @t127)) @t130 @t129)))) (or (tptp.p2 @t122) (not (forall @t123 (or (not (tptp.r1 @t122 @t116)) @t121 @t117)))))) % 126.45/128.37 (define @t144 () (@list @t122)) % 126.45/128.37 (define @t145 () (forall @t144 (or (not (tptp.r1 @t90 @t122)) @t143))) % 126.45/128.37 (define @t146 () (@list @t90)) % 126.45/128.37 (define @t147 () (not (forall @t146 (or (not (tptp.r1 @t1 @t90)) @t145 @t115 @t92)))) % 126.45/128.37 (define @t148 () (@var "BOUND_VARIABLE_7942" $$unsorted)) % 126.45/128.37 (define @t149 () (not (tptp.p2 @t148))) % 126.45/128.37 (define @t150 () (@var "BOUND_VARIABLE_7817" $$unsorted)) % 126.45/128.37 (define @t151 () (tptp.p2 @t150)) % 126.45/128.37 (define @t152 () (@list @t150)) % 126.45/128.37 (define @t153 () (forall @t152 (or (not (tptp.r1 @t148 @t150)) @t151))) % 126.45/128.37 (define @t154 () (@list @t148)) % 126.45/128.37 (define @t155 () (@var "BOUND_VARIABLE_7829" $$unsorted)) % 126.45/128.37 (define @t156 () (not (tptp.p2 @t155))) % 126.45/128.37 (define @t157 () (forall @t74 (or (not (tptp.r1 @t155 @t72)) @t73))) % 126.45/128.37 (define @t158 () (@var "BOUND_VARIABLE_7957" $$unsorted)) % 126.45/128.37 (define @t159 () (@list @t155)) % 126.45/128.37 (define @t160 () (not (forall @t159 (or (not (tptp.r1 @t158 @t155)) @t157 @t156)))) % 126.45/128.37 (define @t161 () (tptp.p2 @t158)) % 126.45/128.37 (define @t162 () (@list @t158)) % 126.45/128.37 (define @t163 () (@var "BOUND_VARIABLE_7846" $$unsorted)) % 126.45/128.37 (define @t164 () (not (forall @t136 (or (not (tptp.r1 @t163 @t132)) @t134 @t133)))) % 126.45/128.37 (define @t165 () (tptp.p2 @t163)) % 126.45/128.37 (define @t166 () (@var "BOUND_VARIABLE_7971" $$unsorted)) % 126.45/128.37 (define @t167 () (@list @t163)) % 126.45/128.37 (define @t168 () (forall @t167 (or (not (tptp.r1 @t166 @t163)) @t165 @t164))) % 126.45/128.37 (define @t169 () (@list @t166)) % 126.45/128.37 (define @t170 () (and (or (forall @t169 (or (not (tptp.r1 @t1 @t166)) @t168)) (not (forall @t162 (or (not (tptp.r1 @t1 @t158)) @t161 @t160)))) (or @t2 (not (forall @t154 (or (not (tptp.r1 @t1 @t148)) @t153 @t149)))))) % 126.45/128.37 (define @t171 () (forall @t11 (or @t9 @t170 @t147))) % 126.45/128.37 (define @t172 () (@var "BOUND_VARIABLE_7987" $$unsorted)) % 126.45/128.37 (define @t173 () (forall (@list @t172) (or (not (tptp.r1 @t1 @t172)) (tptp.p2 @t172)))) % 126.45/128.37 (define @t174 () (forall @t11 (or @t9 @t173 @t3))) % 126.45/128.37 (define @t175 () (@var "BOUND_VARIABLE_7999" $$unsorted)) % 126.45/128.37 (define @t176 () (not (tptp.p2 @t175))) % 126.45/128.37 (define @t177 () (forall @t97 (or (not (tptp.r1 @t175 @t95)) @t96))) % 126.45/128.37 (define @t178 () (@list @t175)) % 126.45/128.37 (define @t179 () (not (forall @t178 (or (not (tptp.r1 @t1 @t175)) @t177 @t176)))) % 126.45/128.37 (define @t180 () (forall @t11 (or @t9 @t2 @t179))) % 126.45/128.37 (define @t181 () (@var "BOUND_VARIABLE_8016" $$unsorted)) % 126.45/128.37 (define @t182 () (not (forall @t108 (or (not (tptp.r1 @t181 @t104)) @t106 @t105)))) % 126.45/128.37 (define @t183 () (tptp.p2 @t181)) % 126.45/128.37 (define @t184 () (@list @t181)) % 126.45/128.37 (define @t185 () (forall @t184 (or (not (tptp.r1 @t1 @t181)) @t183 @t182))) % 126.45/128.37 (define @t186 () (forall @t11 (or @t9 @t185))) % 126.45/128.37 (define @t187 () (not @t186)) % 126.45/128.37 (define @t188 () (and (or (and @t187 @t180) (and @t20 @t174)) @t171)) % 126.45/128.37 (define @t189 () (@var "BOUND_VARIABLE_8036" $$unsorted)) % 126.45/128.37 (define @t190 () (@var "BOUND_VARIABLE_7520" $$unsorted)) % 126.45/128.37 (define @t191 () (tptp.p1 @t190)) % 126.45/128.37 (define @t192 () (@list @t190)) % 126.45/128.37 (define @t193 () (not (forall (@list @t189) (or (not (tptp.r1 @t1 @t189)) (forall @t192 (or (not (tptp.r1 @t189 @t190)) @t191)) (not (tptp.p1 @t189)))))) % 126.45/128.37 (define @t194 () (not (forall @t11 (or @t9 @t50 @t193)))) % 126.45/128.37 (define @t195 () (not @t180)) % 126.45/128.37 (define @t196 () (@var "BOUND_VARIABLE_8053" $$unsorted)) % 126.45/128.37 (define @t197 () (@var "BOUND_VARIABLE_7492" $$unsorted)) % 126.45/128.37 (define @t198 () (tptp.p3 @t197)) % 126.45/128.37 (define @t199 () (@list @t197)) % 126.45/128.37 (define @t200 () (not (forall (@list @t196) (or (not (tptp.r1 @t1 @t196)) (forall @t199 (or (not (tptp.r1 @t196 @t197)) @t198)) (not (tptp.p3 @t196)))))) % 126.45/128.37 (define @t201 () (not (forall @t11 (or @t9 @t59 @t200)))) % 126.45/128.37 (define @t202 () (or @t60 @t201 @t21 @t195 @t51 @t194 @t188 @t83)) % 126.45/128.37 (define @t203 () (not @t174)) % 126.45/128.37 (define @t204 () (or @t5 @t203)) % 126.45/128.37 (define @t205 () (or @t186 @t195)) % 126.45/128.37 (define @t206 () (and @t205 @t204)) % 126.45/128.37 (define @t207 () (not @t206)) % 126.45/128.37 (define @t208 () (not @t171)) % 126.45/128.37 (define @t209 () (or @t206 @t208)) % 126.45/128.37 (define @t210 () (or @t60 @t201 @t21 @t195 @t51 @t194 (not (and @t209 @t82)))) % 126.45/128.37 (define @t211 () (forall @t7 (or @t6 @t5 (not (forall @t77 (or (not (tptp.r1 @t4 @t70)) @t75 @t71)))))) % 126.45/128.37 (define @t212 () (@list @t4)) % 126.45/128.37 (define @t213 () (not @t211)) % 126.45/128.37 (define @t214 () (or @t9 @t2 @t213)) % 126.45/128.37 (define @t215 () (forall @t11 @t214)) % 126.45/128.37 (define @t216 () (forall @t7 (or @t6 (forall @t144 (or (not (tptp.r1 @t4 @t122)) @t143)) (and (not (forall @t114 (or (not (tptp.r1 @t4 @t111)) @t113))) (forall @t103 (or (not (tptp.r1 @t4 @t99)) @t102 @t101))) (and @t20 (forall @t91 (or (not (tptp.r1 @t4 @t84)) @t89 @t85)))))) % 126.45/128.37 (define @t217 () (not @t216)) % 126.45/128.37 (define @t218 () (forall @t7 (or @t6 (forall @t152 (or (not (tptp.r1 @t4 @t150)) @t151)) @t20))) % 126.45/128.37 (define @t219 () (not @t218)) % 126.45/128.37 (define @t220 () (or @t2 @t219)) % 126.45/128.37 (define @t221 () (forall @t7 (or @t6 @t5 (not (forall @t159 (or (not (tptp.r1 @t4 @t155)) @t157 @t156)))))) % 126.45/128.37 (define @t222 () (not @t221)) % 126.45/128.37 (define @t223 () (forall @t7 (or @t6 (forall @t167 (or (not (tptp.r1 @t4 @t163)) @t165 @t164))))) % 126.45/128.37 (define @t224 () (or @t223 @t222)) % 126.45/128.37 (define @t225 () (and @t224 @t220)) % 126.45/128.37 (define @t226 () (or @t9 @t225 @t217)) % 126.45/128.37 (define @t227 () (forall @t11 @t226)) % 126.45/128.37 (define @t228 () (not @t227)) % 126.45/128.37 (define @t229 () (forall @t7 (or @t6 (forall @t97 (or (not (tptp.r1 @t4 @t95)) @t96)) @t20))) % 126.45/128.37 (define @t230 () (not @t229)) % 126.45/128.37 (define @t231 () (or @t9 @t2 @t230)) % 126.45/128.37 (define @t232 () (forall @t11 @t231)) % 126.45/128.37 (define @t233 () (not @t232)) % 126.45/128.37 (define @t234 () (forall @t7 (or @t6 @t5 (not (forall @t108 (or (not (tptp.r1 @t4 @t104)) @t106 @t105)))))) % 126.45/128.37 (define @t235 () (or @t9 @t234)) % 126.45/128.37 (define @t236 () (forall @t11 @t235)) % 126.45/128.37 (define @t237 () (or @t236 @t233)) % 126.45/128.37 (define @t238 () (and @t237 @t19)) % 126.45/128.37 (define @t239 () (or @t238 @t228)) % 126.45/128.37 (define @t240 () (and @t239 @t215)) % 126.45/128.37 (define @t241 () (not @t240)) % 126.45/128.37 (define @t242 () (forall @t7 (or @t6 (forall @t192 (or (not (tptp.r1 @t4 @t190)) @t191)) @t49))) % 126.45/128.37 (define @t243 () (not @t242)) % 126.45/128.37 (define @t244 () (or @t9 @t50 @t243)) % 126.45/128.37 (define @t245 () (forall @t11 @t244)) % 126.45/128.37 (define @t246 () (not @t245)) % 126.45/128.37 (define @t247 () (forall @t7 (or @t6 (forall @t199 (or (not (tptp.r1 @t4 @t197)) @t198)) @t58))) % 126.45/128.37 (define @t248 () (not @t247)) % 126.45/128.37 (define @t249 () (or @t9 @t59 @t248)) % 126.45/128.37 (define @t250 () (forall @t11 @t249)) % 126.45/128.37 (define @t251 () (not @t250)) % 126.45/128.37 (define @t252 () (or @t60 @t251 @t21 @t233 @t51 @t246 @t241)) % 126.45/128.37 (define @t253 () (not @t252)) % 126.45/128.37 (define @t254 () (forall @t7 (not @t253))) % 126.45/128.37 (define @t255 () (not @t254)) % 126.45/128.37 (define @t256 () (forall @t11 (or @t9 (forall @t74 (or (not (tptp.r1 @t1 @t72)) @t73)) @t3))) % 126.45/128.37 (define @t257 () (@list @t1)) % 126.45/128.37 (define @t258 () (not @t256)) % 126.45/128.37 (define @t259 () (or @t6 @t5 @t258)) % 126.45/128.37 (define @t260 () (forall @t7 @t259)) % 126.45/128.37 (define @t261 () (not @t260)) % 126.45/128.37 (define @t262 () (or @t9 @t2 @t261)) % 126.45/128.37 (define @t263 () (forall @t11 (or @t9 (forall @t88 (or (not (tptp.r1 @t1 @t86)) @t87)) @t3))) % 126.45/128.37 (define @t264 () (and @t20 @t263)) % 126.45/128.37 (define @t265 () (forall @t11 (or @t9 @t2 (not (forall @t100 (or (not (tptp.r1 @t1 @t93)) @t98 @t94)))))) % 126.45/128.37 (define @t266 () (forall @t11 (or @t9 (forall @t112 (or (not (tptp.r1 @t1 @t107)) @t110 @t109))))) % 126.45/128.37 (define @t267 () (not @t266)) % 126.45/128.37 (define @t268 () (and @t267 @t265)) % 126.45/128.37 (define @t269 () (forall @t11 (or @t9 (and (or (forall @t142 (or (not (tptp.r1 @t1 @t139)) @t141)) (not (forall @t131 (or (not (tptp.r1 @t1 @t127)) @t130 @t129)))) (or @t2 (not (forall @t123 (or (not (tptp.r1 @t1 @t116)) @t121 @t117)))))))) % 126.45/128.37 (define @t270 () (or @t6 @t269 @t268 @t264)) % 126.45/128.37 (define @t271 () (forall @t7 @t270)) % 126.45/128.37 (define @t272 () (not @t271)) % 126.45/128.37 (define @t273 () (forall @t11 (or @t9 @t2 (not (forall @t136 (or (not (tptp.r1 @t1 @t132)) @t134 @t133)))))) % 126.45/128.37 (define @t274 () (or @t6 @t273)) % 126.45/128.37 (define @t275 () (forall @t7 @t274)) % 126.45/128.37 (define @t276 () (or @t275 @t261)) % 126.45/128.37 (define @t277 () (and @t276 @t33)) % 126.45/128.37 (define @t278 () (or @t9 @t277 @t272)) % 126.45/128.37 (define @t279 () (not @t263)) % 126.45/128.37 (define @t280 () (not @t265)) % 126.45/128.37 (define @t281 () (or @t5 @t279)) % 126.45/128.37 (define @t282 () (or @t266 @t280)) % 126.45/128.37 (define @t283 () (or @t6 @t269 (not (and @t282 @t281)))) % 126.45/128.37 (define @t284 () (not @t238)) % 126.45/128.37 (define @t285 () (forall @t7 (or @t6 (forall @t120 (or (not (tptp.r1 @t4 @t118)) @t119)) @t20))) % 126.45/128.37 (define @t286 () (not @t285)) % 126.45/128.37 (define @t287 () (or @t2 @t286)) % 126.45/128.37 (define @t288 () (forall @t7 (or @t6 @t5 (not (forall @t128 (or (not (tptp.r1 @t4 @t124)) @t126 @t125)))))) % 126.45/128.37 (define @t289 () (not @t288)) % 126.45/128.37 (define @t290 () (forall @t7 (or @t6 (forall @t140 (or (not (tptp.r1 @t4 @t135)) @t138 @t137))))) % 126.45/128.37 (define @t291 () (or @t290 @t289)) % 126.45/128.37 (define @t292 () (and @t291 @t287)) % 126.45/128.37 (define @t293 () (or @t9 @t292)) % 126.45/128.37 (define @t294 () (forall @t11 @t293)) % 126.45/128.37 (define @t295 () (or @t6 @t294 @t284)) % 126.45/128.37 (define @t296 () (or @t9 @t260)) % 126.45/128.37 (define @t297 () (or @t9 @t277)) % 126.45/128.37 (define @t298 () (or @t6 @t232)) % 126.45/128.37 (define @t299 () (@quantifiers_skolemize (forall @t7 @t202) 0)) % 126.45/128.37 (define @t300 () (not (tptp.r1 @t299 @t1))) % 126.45/128.37 (define @t301 () (forall @t11 (or @t300 @t2 @t81))) % 126.45/128.37 (define @t302 () (not @t301)) % 126.45/128.37 (define @t303 () (forall @t11 (or @t300 @t170 @t147))) % 126.45/128.37 (define @t304 () (forall @t11 (or @t300 @t2 @t179))) % 126.45/128.37 (define @t305 () (forall @t11 (or @t300 @t185))) % 126.45/128.37 (define @t306 () (not @t305)) % 126.45/128.37 (define @t307 () (and @t306 @t304)) % 126.45/128.37 (define @t308 () (or @t307 (and (not (tptp.p2 @t299)) (forall @t11 (or @t300 @t173 @t3))))) % 126.45/128.37 (define @t309 () (and @t308 @t303)) % 126.45/128.37 (define @t310 () (not @t304)) % 126.45/128.37 (define @t311 () (forall @t11 (or @t300 @t2))) % 126.45/128.37 (define @t312 () (or (forall @t11 (or @t300 @t59)) (not (forall @t11 (or @t300 @t59 @t200))) @t311 @t310 (forall @t11 (or @t300 @t50)) (not (forall @t11 (or @t300 @t50 @t193))) @t309 @t302)) % 126.45/128.37 (define @t313 () (@list true)) % 126.45/128.37 (define @t314 () (@list @t312)) % 126.45/128.37 (define @t315 () (@quantifiers_skolemize @t311 0)) % 126.45/128.37 (define @t316 () (@list @t315)) % 126.45/128.37 (define @t317 () (tptp.p2 @t315)) % 126.45/128.37 (define @t318 () (tptp.r1 @t299 @t315)) % 126.45/128.37 (define @t319 () (not @t318)) % 126.45/128.37 (define @t320 () (or @t319 @t317)) % 126.45/128.37 (define @t321 () (@list @t320)) % 126.45/128.37 (define @t322 () (forall @t80 (or (not (tptp.r1 @t315 @t76)) @t79 @t78))) % 126.45/128.37 (define @t323 () (not @t322)) % 126.45/128.37 (define @t324 () (or @t319 @t317 @t323)) % 126.45/128.37 (define @t325 () (@list false true false)) % 126.45/128.37 (define @t326 () (@var "BOUND_VARIABLE_9316" $$unsorted)) % 126.45/128.37 (define @t327 () (@var "BOUND_VARIABLE_9318" $$unsorted)) % 126.45/128.37 (define @t328 () (@var "BOUND_VARIABLE_9317" $$unsorted)) % 126.45/128.37 (define @t329 () (@list @t326 @t328 @t327)) % 126.45/128.37 (define @t330 () (forall @t184 (or (not (tptp.r1 @t315 @t181)) @t183 @t182))) % 126.45/128.37 (define @t331 () (or @t319 @t330)) % 126.45/128.37 (define @t332 () (not @t331)) % 126.45/128.37 (define @t333 () (@list false true)) % 126.45/128.37 (define @t334 () (@list false)) % 126.45/128.37 (define @t335 () (not @t303)) % 126.45/128.37 (define @t336 () (@list true false)) % 126.45/128.37 (define @t337 () (@quantifiers_skolemize @t303 0)) % 126.45/128.37 (define @t338 () (forall @t146 (or (not (tptp.r1 @t337 @t90)) @t145 @t115 @t92))) % 126.45/128.37 (define @t339 () (not @t338)) % 126.45/128.37 (define @t340 () (forall @t154 (or (not (tptp.r1 @t337 @t148)) @t153 @t149))) % 126.45/128.37 (define @t341 () (not @t340)) % 126.45/128.37 (define @t342 () (tptp.p2 @t337)) % 126.45/128.37 (define @t343 () (or @t342 @t341)) % 126.45/128.37 (define @t344 () (forall @t162 (or (not (tptp.r1 @t337 @t158)) @t161 @t160))) % 126.45/128.37 (define @t345 () (not @t344)) % 126.45/128.37 (define @t346 () (forall @t169 (or (not (tptp.r1 @t337 @t166)) @t168))) % 126.45/128.37 (define @t347 () (or @t346 @t345)) % 126.45/128.37 (define @t348 () (and @t347 @t343)) % 126.45/128.37 (define @t349 () (tptp.r1 @t299 @t337)) % 126.45/128.37 (define @t350 () (not @t349)) % 126.45/128.37 (define @t351 () (or @t350 @t348 @t339)) % 126.45/128.37 (define @t352 () (not @t351)) % 126.45/128.37 (define @t353 () (@list @t351)) % 126.45/128.37 (define @t354 () (@quantifiers_skolemize @t346 0)) % 126.45/128.37 (define @t355 () (@list @t354)) % 126.45/128.37 (define @t356 () (forall @t91 (or (not (tptp.r1 @t354 @t84)) @t89 @t85))) % 126.45/128.37 (define @t357 () (tptp.p2 @t354)) % 126.45/128.37 (define @t358 () (not @t357)) % 126.45/128.37 (define @t359 () (and @t358 @t356)) % 126.45/128.37 (define @t360 () (forall @t103 (or (not (tptp.r1 @t354 @t99)) @t102 @t101))) % 126.45/128.37 (define @t361 () (and (not (forall @t114 (or (not (tptp.r1 @t354 @t111)) @t113))) @t360)) % 126.45/128.37 (define @t362 () (forall @t144 (or (not (tptp.r1 @t354 @t122)) @t143))) % 126.45/128.37 (define @t363 () (tptp.r1 @t337 @t354)) % 126.45/128.37 (define @t364 () (not @t363)) % 126.45/128.37 (define @t365 () (or @t364 @t362 @t361 @t359)) % 126.45/128.37 (define @t366 () (forall @t178 (or (not (tptp.r1 @t337 @t175)) @t177 @t176))) % 126.45/128.37 (define @t367 () (not @t366)) % 126.45/128.37 (define @t368 () (or @t350 @t342 @t367)) % 126.45/128.37 (define @t369 () (not @t346)) % 126.45/128.37 (define @t370 () (@list @t347)) % 126.45/128.37 (define @t371 () (forall @t167 (or (not (tptp.r1 @t354 @t163)) @t165 @t164))) % 126.45/128.37 (define @t372 () (or @t364 @t371)) % 126.45/128.37 (define @t373 () (not @t372)) % 126.45/128.37 (define @t374 () (not @t371)) % 126.45/128.37 (define @t375 () (@list @t372)) % 126.45/128.37 (define @t376 () (@var "BOUND_VARIABLE_11277" $$unsorted)) % 126.45/128.37 (define @t377 () (@var "BOUND_VARIABLE_11279" $$unsorted)) % 126.45/128.37 (define @t378 () (@var "BOUND_VARIABLE_11278" $$unsorted)) % 126.45/128.37 (define @t379 () (@list @t376 @t378 @t377)) % 126.45/128.37 (define @t380 () (@list @t371)) % 126.45/128.37 (define @t381 () (not @t361)) % 126.45/128.37 (define @t382 () (@quantifiers_skolemize @t371 0)) % 126.45/128.37 (define @t383 () (forall @t136 (or (not (tptp.r1 @t382 @t132)) @t134 @t133))) % 126.45/128.37 (define @t384 () (not @t383)) % 126.45/128.37 (define @t385 () (tptp.p2 @t382)) % 126.45/128.37 (define @t386 () (tptp.r1 @t354 @t382)) % 126.45/128.37 (define @t387 () (not @t386)) % 126.45/128.37 (define @t388 () (or @t387 @t385 @t384)) % 126.45/128.37 (define @t389 () (not @t388)) % 126.45/128.37 (define @t390 () (@list @t388)) % 126.45/128.37 (define @t391 () (forall @t123 (or (not (tptp.r1 @t382 @t116)) @t121 @t117))) % 126.45/128.37 (define @t392 () (not @t391)) % 126.45/128.37 (define @t393 () (or @t385 @t392)) % 126.45/128.37 (define @t394 () (not @t393)) % 126.45/128.37 (define @t395 () (and (or (forall @t142 (or (not (tptp.r1 @t382 @t139)) @t141)) (not (forall @t131 (or (not (tptp.r1 @t382 @t127)) @t130 @t129)))) @t393)) % 126.45/128.37 (define @t396 () (not @t395)) % 126.45/128.37 (define @t397 () (or @t387 @t395)) % 126.45/128.37 (define @t398 () (not @t397)) % 126.45/128.37 (define @t399 () (not @t359)) % 126.45/128.37 (define @t400 () (@list @t359)) % 126.45/128.37 (define @t401 () (forall @t159 (or (not (tptp.r1 @t354 @t155)) @t157 @t156))) % 126.45/128.37 (define @t402 () (not @t401)) % 126.45/128.37 (define @t403 () (or @t364 @t357 @t402)) % 126.45/128.37 (assume @p1 (not (not @t69))) % 126.45/128.37 (assume @p2 true) % 126.45/128.37 (step @p3 :rule aci_norm :args ((= (or @t60 @t201 @t21 @t195 @t51 @t194 (or @t188 @t83)) @t202))) % 126.45/128.37 (step @p4 :rule refl :args (@t83)) % 126.45/128.37 (step @p5 :rule refl :args (@t171)) % 126.45/128.37 (step @p6 :rule bool-double-not-elim :args (@t174)) % 126.45/128.37 (step @p7 :rule refl :args (@t20)) % 126.45/128.37 (step @p8 :rule nary_cong :premises (@p7 @p6) :args ((and @t20 (not @t203)))) % 126.45/128.37 (step @p9 :rule bool-or-de-morgan :args (@t5 @t203 false)) % 126.45/128.37 (step @p10 :rule trans :premises (@p9 @p8)) % 126.45/128.37 (step @p11 :rule bool-double-not-elim :args (@t180)) % 126.45/128.37 (step @p12 :rule refl :args (@t187)) % 126.45/128.37 (step @p13 :rule nary_cong :premises (@p12 @p11) :args ((and @t187 (not @t195)))) % 126.45/128.37 (step @p14 :rule bool-or-de-morgan :args (@t186 @t195 false)) % 126.45/128.37 (step @p15 :rule trans :premises (@p14 @p13)) % 126.45/128.37 (step @p16 :rule nary_cong :premises (@p15 @p10) :args ((or (not @t205) (not @t204)))) % 126.45/128.37 (step @p17 :rule bool-and-de-morgan :args (@t205 @t204 true)) % 126.45/128.37 (step @p18 :rule trans :premises (@p17 @p16)) % 126.45/128.37 (step @p19 :rule nary_cong :premises (@p18 @p5) :args ((and @t207 @t171))) % 126.45/128.37 (step @p20 :rule bool-double-not-elim :args (@t171)) % 126.45/128.37 (step @p21 :rule refl :args (@t207)) % 126.45/128.37 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((and @t207 (not @t208)))) % 126.45/128.37 (step @p23 :rule bool-or-de-morgan :args (@t206 @t208 false)) % 126.45/128.37 (step @p24 :rule trans :premises (@p23 @p22)) % 126.45/128.37 (step @p25 :rule trans :premises (@p24 @p19)) % 126.45/128.37 (step @p26 :rule nary_cong :premises (@p25 @p4) :args ((or (not @t209) @t83))) % 126.45/128.37 (step @p27 :rule bool-and-de-morgan :args (@t209 @t82 true)) % 126.45/128.37 (step @p28 :rule trans :premises (@p27 @p26)) % 126.45/128.37 (step @p29 :rule refl :args (@t194)) % 126.45/128.37 (step @p30 :rule refl :args (@t51)) % 126.45/128.37 (step @p31 :rule refl :args (@t195)) % 126.45/128.37 (step @p32 :rule refl :args (@t21)) % 126.45/128.37 (step @p33 :rule refl :args (@t201)) % 126.45/128.37 (step @p34 :rule refl :args (@t60)) % 126.45/128.37 (step @p35 :rule nary_cong :premises (@p34 @p33 @p32 @p31 @p30 @p29 @p28) :args (@t210)) % 126.45/128.37 (step @p36 :rule trans :premises (@p35 @p3)) % 126.45/128.37 (step @p37 :rule cong :premises (@p36) :args ((forall @t7 @t210))) % 126.45/128.37 (step @p38 :rule alpha_equiv :args (@t211 @t212 (@list @t76))) % 126.45/128.37 (step @p39 :rule cong :premises (@p38) :args (@t213)) % 126.45/128.37 (step @p40 :rule refl :args (@t2)) % 126.45/128.37 (step @p41 :rule refl :args (@t9)) % 126.45/128.37 (step @p42 :rule nary_cong :premises (@p41 @p40 @p39) :args (@t214)) % 126.45/128.37 (step @p43 :rule cong :premises (@p42) :args (@t215)) % 126.45/128.37 (step @p44 :rule alpha_equiv :args (@t216 @t212 (@list @t90))) % 126.45/128.37 (step @p45 :rule cong :premises (@p44) :args (@t217)) % 126.45/128.37 (step @p46 :rule alpha_equiv :args (@t218 @t212 (@list @t148))) % 126.45/128.37 (step @p47 :rule cong :premises (@p46) :args (@t219)) % 126.45/128.37 (step @p48 :rule nary_cong :premises (@p40 @p47) :args (@t220)) % 126.45/128.37 (step @p49 :rule alpha_equiv :args (@t221 @t212 (@list @t158))) % 126.45/128.37 (step @p50 :rule cong :premises (@p49) :args (@t222)) % 126.45/128.37 (step @p51 :rule alpha_equiv :args (@t223 @t212 (@list @t166))) % 126.45/128.37 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t224)) % 126.45/128.37 (step @p53 :rule nary_cong :premises (@p52 @p48) :args (@t225)) % 126.45/128.37 (step @p54 :rule nary_cong :premises (@p41 @p53 @p45) :args (@t226)) % 126.45/128.37 (step @p55 :rule cong :premises (@p54) :args (@t227)) % 126.45/128.37 (step @p56 :rule cong :premises (@p55) :args (@t228)) % 126.45/128.37 (step @p57 :rule refl :args (@t3)) % 126.45/128.37 (step @p58 :rule alpha_equiv :args (@t8 @t212 (@list @t172))) % 126.45/128.37 (step @p59 :rule nary_cong :premises (@p41 @p58 @p57) :args (@t10)) % 126.45/128.37 (step @p60 :rule cong :premises (@p59) :args (@t12)) % 126.45/128.37 (step @p61 :rule cong :premises (@p60) :args (@t13)) % 126.45/128.37 (step @p62 :rule refl :args (@t5)) % 126.45/128.37 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t19)) % 126.45/128.37 (step @p64 :rule alpha_equiv :args (@t229 @t212 (@list @t175))) % 126.45/128.37 (step @p65 :rule cong :premises (@p64) :args (@t230)) % 126.45/128.37 (step @p66 :rule nary_cong :premises (@p41 @p40 @p65) :args (@t231)) % 126.45/128.37 (step @p67 :rule cong :premises (@p66) :args (@t232)) % 126.45/128.37 (step @p68 :rule cong :premises (@p67) :args (@t233)) % 126.45/128.37 (step @p69 :rule alpha_equiv :args (@t234 @t212 (@list @t181))) % 126.45/128.37 (step @p70 :rule nary_cong :premises (@p41 @p69) :args (@t235)) % 126.45/128.37 (step @p71 :rule cong :premises (@p70) :args (@t236)) % 126.45/128.37 (step @p72 :rule nary_cong :premises (@p71 @p68) :args (@t237)) % 126.45/128.37 (step @p73 :rule nary_cong :premises (@p72 @p63) :args (@t238)) % 126.45/128.37 (step @p74 :rule nary_cong :premises (@p73 @p56) :args (@t239)) % 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(@t65)) % 126.45/128.37 (step @p272 :rule cong :premises (@p271) :args (@t66)) % 126.45/128.37 (step @p273 :rule refl :args (@t60)) % 126.45/128.37 (step @p274 :rule nary_cong :premises (@p273 @p272 @p264 @p198 @p263 @p262 @p254) :args (@t67)) % 126.45/128.37 (step @p275 :rule cong :premises (@p274) :args (@t68)) % 126.45/128.37 (step @p276 :rule cong :premises (@p275) :args (@t69)) % 126.45/128.37 (step @p277 :rule trans :premises (@p276 @p97)) % 126.45/128.37 (step @p278 :rule bool-double-not-elim :args (@t69)) % 126.45/128.37 (step @p279 :rule trans :premises (@p278 @p277)) % 126.45/128.37 (step @p280 :rule eq_resolve :premises (@p1 @p279)) % 126.45/128.37 (step @p281 :rule skolemize :premises (@p280)) % 126.45/128.37 (step @p282 :rule bool-double-not-elim :args (@t301)) % 126.45/128.37 (step @p283 :rule refl :args (@t312)) % 126.45/128.37 (step @p284 :rule nary_cong :premises (@p283 @p282) :args ((or @t312 (not @t302)))) % 126.45/128.37 (step @p285 :rule cnf_or_neg :args (@t312 7)) % 126.45/128.37 (step @p286 :rule eq_resolve :premises (@p285 @p284)) % 126.45/128.37 (step @p287 :rule reordering :premises (@p286) :args ((or @t301 @t312))) % 126.45/128.37 (step @p288 :rule chain_m_resolution :premises (@p287 @p281) :args (@t301 @t313 @t314)) % 126.45/128.37 (step @p289 :rule instantiate :premises (@p288) :args (@t316)) % 126.45/128.37 (step @p290 :rule cnf_or_neg :args (@t312 2)) % 126.45/128.37 (step @p291 :rule chain_m_resolution :premises (@p290 @p281) :args ((not @t311) @t313 @t314)) % 126.45/128.37 (step @p292 :rule skolemize :premises (@p291)) % 126.45/128.37 (step @p293 :rule cnf_or_neg :args (@t320 1)) % 126.45/128.37 (step @p294 :rule chain_m_resolution :premises (@p293 @p292) :args ((not @t317) @t313 @t321)) % 126.45/128.37 (step @p295 :rule bool-double-not-elim :args (@t318)) % 126.45/128.37 (step @p296 :rule refl :args (@t320)) % 126.45/128.37 (step @p297 :rule nary_cong :premises (@p296 @p295) :args ((or @t320 (not @t319)))) % 126.45/128.37 (step @p298 :rule cnf_or_neg :args (@t320 0)) % 126.45/128.38 (step @p299 :rule eq_resolve :premises (@p298 @p297)) % 126.45/128.38 (step @p300 :rule reordering :premises (@p299) :args ((or @t318 @t320))) % 126.45/128.38 (step @p301 :rule chain_m_resolution :premises (@p300 @p292) :args (@t318 @t313 @t321)) % 126.45/128.38 (step @p302 :rule cnf_or_pos :args (@t324)) % 126.45/128.38 (step @p303 :rule reordering :premises (@p302) :args ((or @t319 @t317 @t323 (not @t324)))) % 126.45/128.38 (step @p304 :rule chain_m_resolution :premises (@p303 @p301 @p294 @p289) :args (@t323 @t325 (@list @t318 @t317 @t324))) % 126.45/128.38 (step @p305 :rule alpha_equiv :args ((forall (@list @t328) (or (not (tptp.r1 @t315 @t328)) (tptp.p2 @t328) (not (forall (@list @t326) (or (not (tptp.r1 @t328 @t326)) (forall (@list @t327) (or (not (tptp.r1 @t326 @t327)) (tptp.p2 @t327))) (not (tptp.p2 @t326))))))) @t329 (@list @t104 @t181 @t72))) % 126.45/128.38 (step @p306 :rule alpha_equiv :args (@t322 (@list @t70 @t76 @t72) @t329)) % 126.45/128.38 (step @p307 :rule trans :premises (@p306 @p305)) % 126.45/128.38 (step @p308 :rule equiv_elim2 :premises (@p307)) % 126.45/128.38 (step @p309 :rule chain_m_resolution :premises (@p308 @p304) :args ((not @t330) @t313 (@list @t322))) % 126.45/128.38 (step @p310 :rule cnf_or_pos :args (@t331)) % 126.45/128.38 (step @p311 :rule reordering :premises (@p310) :args ((or @t319 @t330 @t332))) % 126.45/128.38 (step @p312 :rule chain_m_resolution :premises (@p311 @p301 @p309) :args (@t332 @t333 (@list @t318 @t330))) % 126.45/128.38 (assume-push @p486 @t305) % 126.45/128.38 (step @p314 :rule instantiate :premises (@p486) :args (@t316)) % 126.45/128.38 (step-pop @p487 :rule scope :premises (@p314)) % 126.45/128.38 (step @p315 :rule process_scope :premises (@p487) :args (@t331)) % 126.45/128.38 (step @p317 :rule implies_elim :premises (@p315)) % 126.45/128.38 (step @p318 :rule chain_m_resolution :premises (@p317 @p312) :args (@t306 @t313 (@list @t331))) % 126.45/128.38 (step @p319 :rule bool-double-not-elim :args (@t304)) % 126.45/128.38 (step @p320 :rule nary_cong :premises (@p283 @p319) :args ((or @t312 (not @t310)))) % 126.45/128.38 (step @p321 :rule cnf_or_neg :args (@t312 3)) % 126.45/128.38 (step @p322 :rule eq_resolve :premises (@p321 @p320)) % 126.45/128.38 (step @p323 :rule reordering :premises (@p322) :args ((or @t304 @t312))) % 126.45/128.38 (step @p324 :rule chain_m_resolution :premises (@p323 @p281) :args (@t304 @t313 @t314)) % 126.45/128.38 (step @p325 :rule refl :args (@t310)) % 126.45/128.38 (step @p326 :rule bool-double-not-elim :args (@t305)) % 126.45/128.38 (step @p327 :rule refl :args (@t307)) % 126.45/128.38 (step @p328 :rule nary_cong :premises (@p327 @p326 @p325) :args ((or @t307 (not @t306) @t310))) % 126.45/128.38 (step @p329 :rule cnf_and_neg :args (@t307)) % 126.45/128.38 (step @p330 :rule eq_resolve :premises (@p329 @p328)) % 126.45/128.38 (step @p331 :rule reordering :premises (@p330) :args ((or @t310 @t305 @t307))) % 126.45/128.38 (step @p332 :rule chain_m_resolution :premises (@p331 @p324 @p318) :args (@t307 @t333 (@list @t304 @t305))) % 126.45/128.38 (step @p333 :rule cnf_or_neg :args (@t308 0)) % 126.45/128.38 (step @p334 :rule chain_m_resolution :premises (@p333 @p332) :args (@t308 @t334 (@list @t307))) % 126.45/128.38 (step @p335 :rule cnf_or_neg :args (@t312 6)) % 126.45/128.38 (step @p336 :rule chain_m_resolution :premises (@p335 @p281) :args ((not @t309) @t313 @t314)) % 126.45/128.38 (step @p337 :rule cnf_and_neg :args (@t309)) % 126.45/128.38 (step @p338 :rule chain_m_resolution :premises (@p337 @p336 @p334) :args (@t335 @t336 (@list @t309 @t308))) % 126.45/128.38 (step @p339 :rule refl :args (@t352)) % 126.45/128.38 (step @p340 :rule bool-double-not-elim :args (@t303)) % 126.45/128.38 (step @p341 :rule nary_cong :premises (@p340 @p339) :args ((or (not @t335) @t352))) % 126.45/128.38 (assume-push @p488 @t335) % 126.45/128.38 (step @p343 :rule skolemize :premises (@p488)) % 126.45/128.38 (step-pop @p489 :rule scope :premises (@p343)) % 126.45/128.38 (step @p344 :rule process_scope :premises (@p489) :args (@t352)) % 126.45/128.38 (step @p346 :rule implies_elim :premises (@p344)) % 126.45/128.38 (step @p347 :rule eq_resolve :premises (@p346 @p341)) % 126.45/128.38 (step @p348 :rule chain_m_resolution :premises (@p347 @p338) :args (@t352 @t313 (@list @t303))) % 126.45/128.38 (step @p349 :rule bool-double-not-elim :args (@t338)) % 126.45/128.38 (step @p350 :rule refl :args (@t351)) % 126.45/128.38 (step @p351 :rule nary_cong :premises (@p350 @p349) :args ((or @t351 (not @t339)))) % 126.45/128.38 (step @p352 :rule cnf_or_neg :args (@t351 2)) % 126.45/128.38 (step @p353 :rule eq_resolve :premises (@p352 @p351)) % 126.45/128.38 (step @p354 :rule reordering :premises (@p353) :args ((or @t338 @t351))) % 126.45/128.38 (step @p355 :rule chain_m_resolution :premises (@p354 @p348) :args (@t338 @t313 @t353)) % 126.45/128.38 (assume-push @p490 @t338) % 126.45/128.38 (step @p357 :rule instantiate :premises (@p490) :args (@t355)) % 126.45/128.38 (step-pop @p491 :rule scope :premises (@p357)) % 126.45/128.38 (step @p358 :rule process_scope :premises (@p491) :args (@t365)) % 126.45/128.38 (step @p360 :rule implies_elim :premises (@p358)) % 126.45/128.38 (step @p361 :rule chain_m_resolution :premises (@p360 @p355) :args (@t365 @t334 (@list @t338))) % 126.45/128.38 (step @p362 :rule cnf_or_neg :args (@t343 0)) % 126.45/128.38 (step @p363 :rule bool-double-not-elim :args (@t340)) % 126.45/128.38 (step @p364 :rule refl :args (@t343)) % 126.45/128.38 (step @p365 :rule nary_cong :premises (@p364 @p363) :args ((or @t343 (not @t341)))) % 126.45/128.38 (step @p366 :rule cnf_or_neg :args (@t343 1)) % 126.45/128.38 (step @p367 :rule eq_resolve :premises (@p366 @p365)) % 126.45/128.38 (step @p368 :rule reordering :premises (@p367) :args ((or @t340 @t343))) % 126.45/128.38 (step @p369 :rule bool-double-not-elim :args (@t349)) % 126.45/128.38 (step @p370 :rule nary_cong :premises (@p350 @p369) :args ((or @t351 (not @t350)))) % 126.45/128.38 (step @p371 :rule cnf_or_neg :args (@t351 0)) % 126.45/128.38 (step @p372 :rule eq_resolve :premises (@p371 @p370)) % 126.45/128.38 (step @p373 :rule reordering :premises (@p372) :args ((or @t349 @t351))) % 126.45/128.38 (step @p374 :rule chain_m_resolution :premises (@p373 @p348) :args (@t349 @t313 @t353)) % 126.45/128.38 (step @p375 :rule instantiate :premises (@p324) :args ((@list @t337))) % 126.45/128.38 (step @p376 :rule cnf_or_pos :args (@t368)) % 126.45/128.38 (step @p377 :rule reordering :premises (@p376) :args ((or @t350 @t342 @t367 (not @t368)))) % 126.45/128.38 (step @p378 :rule alpha_equiv :args (@t340 (@list @t148 @t150) (@list @t175 @t95))) % 126.45/128.38 (step @p379 :rule equiv_elim1 :premises (@p378)) % 126.45/128.38 (step @p380 :rule chain_m_resolution :premises (@p379 @p377 @p375 @p374 @p368 @p362) :args (@t343 (@list true false false false true) (@list @t366 @t368 @t349 @t340 @t342))) % 126.45/128.38 (step @p381 :rule cnf_or_neg :args (@t351 1)) % 126.45/128.38 (step @p382 :rule chain_m_resolution :premises (@p381 @p348) :args ((not @t348) @t313 @t353)) % 126.45/128.38 (step @p383 :rule cnf_and_neg :args (@t348)) % 126.45/128.38 (step @p384 :rule chain_m_resolution :premises (@p383 @p382 @p380) :args ((not @t347) @t336 (@list @t348 @t343))) % 126.45/128.38 (step @p385 :rule cnf_or_neg :args (@t347 0)) % 126.45/128.38 (step @p386 :rule chain_m_resolution :premises (@p385 @p384) :args (@t369 @t313 @t370)) % 126.45/128.38 (step @p387 :rule refl :args (@t373)) % 126.45/128.38 (step @p388 :rule bool-double-not-elim :args (@t346)) % 126.45/128.38 (step @p389 :rule nary_cong :premises (@p388 @p387) :args ((or (not @t369) @t373))) % 126.45/128.38 (assume-push @p492 @t369) % 126.45/128.38 (step @p391 :rule skolemize :premises (@p492)) % 126.45/128.38 (step-pop @p493 :rule scope :premises (@p391)) % 126.45/128.38 (step @p392 :rule process_scope :premises (@p493) :args (@t373)) % 126.45/128.38 (step @p394 :rule implies_elim :premises (@p392)) % 126.45/128.38 (step @p395 :rule eq_resolve :premises (@p394 @p389)) % 126.45/128.38 (step @p396 :rule chain_m_resolution :premises (@p395 @p386) :args (@t373 @t313 (@list @t346))) % 126.45/128.38 (step @p397 :rule cnf_or_neg :args (@t372 1)) % 126.45/128.38 (step @p398 :rule chain_m_resolution :premises (@p397 @p396) :args (@t374 @t313 @t375)) % 126.45/128.38 (step @p399 :rule alpha_equiv :args ((forall (@list @t378) (or (not (tptp.r1 @t354 @t378)) (tptp.p2 @t378) (not (forall (@list @t376) (or (not (tptp.r1 @t378 @t376)) (forall (@list @t377) (or (not (tptp.r1 @t376 @t377)) (tptp.p2 @t377))) (not (tptp.p2 @t376))))))) @t379 (@list @t93 @t99 @t95))) % 126.45/128.38 (step @p400 :rule alpha_equiv :args (@t371 (@list @t132 @t163 @t95) @t379)) % 126.45/128.38 (step @p401 :rule trans :premises (@p400 @p399)) % 126.45/128.38 (step @p402 :rule equiv_elim2 :premises (@p401)) % 126.45/128.38 (step @p403 :rule chain_m_resolution :premises (@p402 @p398) :args ((not @t360) @t313 @t380)) % 126.45/128.38 (step @p404 :rule cnf_and_pos :args (@t361 1)) % 126.45/128.38 (step @p405 :rule reordering :premises (@p404) :args ((or @t360 @t381))) % 126.45/128.38 (step @p406 :rule chain_m_resolution :premises (@p405 @p403) :args (@t381 @t313 (@list @t360))) % 126.45/128.38 (step @p407 :rule refl :args (@t389)) % 126.45/128.38 (step @p408 :rule bool-double-not-elim :args (@t371)) % 126.45/128.38 (step @p409 :rule nary_cong :premises (@p408 @p407) :args ((or (not @t374) @t389))) % 126.45/128.38 (assume-push @p494 @t374) % 126.45/128.38 (step @p411 :rule skolemize :premises (@p494)) % 126.45/128.38 (step-pop @p495 :rule scope :premises (@p411)) % 126.45/128.38 (step @p412 :rule process_scope :premises (@p495) :args (@t389)) % 126.45/128.38 (step @p414 :rule implies_elim :premises (@p412)) % 126.45/128.38 (step @p415 :rule eq_resolve :premises (@p414 @p409)) % 126.45/128.38 (step @p416 :rule chain_m_resolution :premises (@p415 @p398) :args (@t389 @t313 @t380)) % 126.45/128.38 (step @p417 :rule bool-double-not-elim :args (@t383)) % 126.45/128.38 (step @p418 :rule refl :args (@t388)) % 126.45/128.38 (step @p419 :rule nary_cong :premises (@p418 @p417) :args ((or @t388 (not @t384)))) % 126.45/128.38 (step @p420 :rule cnf_or_neg :args (@t388 2)) % 126.45/128.38 (step @p421 :rule eq_resolve :premises (@p420 @p419)) % 126.45/128.38 (step @p422 :rule reordering :premises (@p421) :args ((or @t383 @t388))) % 126.45/128.38 (step @p423 :rule chain_m_resolution :premises (@p422 @p416) :args (@t383 @t313 @t390)) % 126.45/128.38 (step @p424 :rule alpha_equiv :args (@t383 (@list @t132 @t95) (@list @t116 @t118))) % 126.45/128.38 (step @p425 :rule equiv_elim1 :premises (@p424)) % 126.45/128.38 (step @p426 :rule chain_m_resolution :premises (@p425 @p423) :args (@t391 @t334 (@list @t383))) % 126.45/128.38 (step @p427 :rule cnf_or_neg :args (@t388 1)) % 126.45/128.38 (step @p428 :rule chain_m_resolution :premises (@p427 @p416) :args ((not @t385) @t313 @t390)) % 126.45/128.38 (step @p429 :rule cnf_or_pos :args (@t393)) % 126.45/128.38 (step @p430 :rule reordering :premises (@p429) :args ((or @t385 @t392 @t394))) % 126.45/128.38 (step @p431 :rule chain_m_resolution :premises (@p430 @p428 @p426) :args (@t394 @t336 (@list @t385 @t391))) % 126.45/128.38 (step @p432 :rule cnf_and_pos :args (@t395 1)) % 126.45/128.38 (step @p433 :rule reordering :premises (@p432) :args ((or @t393 @t396))) % 126.45/128.38 (step @p434 :rule chain_m_resolution :premises (@p433 @p431) :args (@t396 @t313 (@list @t393))) % 126.45/128.38 (step @p435 :rule bool-double-not-elim :args (@t386)) % 126.45/128.38 (step @p436 :rule nary_cong :premises (@p418 @p435) :args ((or @t388 (not @t387)))) % 126.45/128.38 (step @p437 :rule cnf_or_neg :args (@t388 0)) % 126.45/128.38 (step @p438 :rule eq_resolve :premises (@p437 @p436)) % 126.45/128.38 (step @p439 :rule reordering :premises (@p438) :args ((or @t386 @t388))) % 126.45/128.38 (step @p440 :rule chain_m_resolution :premises (@p439 @p416) :args (@t386 @t313 @t390)) % 126.45/128.38 (step @p441 :rule cnf_or_pos :args (@t397)) % 126.45/128.38 (step @p442 :rule reordering :premises (@p441) :args ((or @t387 @t395 @t398))) % 126.45/128.38 (step @p443 :rule chain_m_resolution :premises (@p442 @p440 @p434) :args (@t398 @t333 (@list @t386 @t395))) % 126.45/128.38 (assume-push @p496 @t362) % 126.45/128.38 (step @p445 :rule instantiate :premises (@p496) :args ((@list @t382))) % 126.45/128.38 (step-pop @p497 :rule scope :premises (@p445)) % 126.45/128.38 (step @p446 :rule process_scope :premises (@p497) :args (@t397)) % 126.45/128.38 (step @p448 :rule implies_elim :premises (@p446)) % 126.45/128.38 (step @p449 :rule chain_m_resolution :premises (@p448 @p443) :args ((not @t362) @t313 (@list @t397))) % 126.45/128.38 (step @p450 :rule bool-double-not-elim :args (@t363)) % 126.45/128.38 (step @p451 :rule refl :args (@t372)) % 126.45/128.38 (step @p452 :rule nary_cong :premises (@p451 @p450) :args ((or @t372 (not @t364)))) % 126.45/128.38 (step @p453 :rule cnf_or_neg :args (@t372 0)) % 126.45/128.38 (step @p454 :rule eq_resolve :premises (@p453 @p452)) % 126.45/128.38 (step @p455 :rule reordering :premises (@p454) :args ((or @t363 @t372))) % 126.45/128.38 (step @p456 :rule chain_m_resolution :premises (@p455 @p396) :args (@t363 @t313 @t375)) % 126.45/128.38 (step @p457 :rule cnf_or_pos :args (@t365)) % 126.45/128.38 (step @p458 :rule reordering :premises (@p457) :args ((or @t364 @t362 @t361 @t359 (not @t365)))) % 126.45/128.38 (step @p459 :rule chain_m_resolution :premises (@p458 @p456 @p449 @p406 @p361) :args (@t359 (@list false true true false) (@list @t363 @t362 @t361 @t365))) % 126.45/128.38 (step @p460 :rule cnf_and_pos :args (@t359 1)) % 126.45/128.38 (step @p461 :rule reordering :premises (@p460) :args ((or @t356 @t399))) % 126.45/128.38 (step @p462 :rule chain_m_resolution :premises (@p461 @p459) :args (@t356 @t334 @t400)) % 126.45/128.38 (step @p463 :rule bool-double-not-elim :args (@t344)) % 126.45/128.38 (step @p464 :rule refl :args (@t347)) % 126.45/128.38 (step @p465 :rule nary_cong :premises (@p464 @p463) :args ((or @t347 (not @t345)))) % 126.45/128.38 (step @p466 :rule cnf_or_neg :args (@t347 1)) % 126.45/128.38 (step @p467 :rule eq_resolve :premises (@p466 @p465)) % 126.45/128.38 (step @p468 :rule reordering :premises (@p467) :args ((or @t344 @t347))) % 126.45/128.38 (step @p469 :rule chain_m_resolution :premises (@p468 @p384) :args (@t344 @t313 @t370)) % 126.45/128.38 (assume-push @p498 @t344) % 126.45/128.38 (step @p471 :rule instantiate :premises (@p498) :args (@t355)) % 126.45/128.38 (step-pop @p499 :rule scope :premises (@p471)) % 126.45/128.38 (step @p472 :rule process_scope :premises (@p499) :args (@t403)) % 126.45/128.38 (step @p474 :rule implies_elim :premises (@p472)) % 126.45/128.38 (step @p475 :rule chain_m_resolution :premises (@p474 @p469) :args (@t403 @t334 (@list @t344))) % 126.45/128.38 (step @p476 :rule cnf_and_pos :args (@t359 0)) % 126.45/128.38 (step @p477 :rule reordering :premises (@p476) :args ((or @t358 @t399))) % 126.45/128.38 (step @p478 :rule chain_m_resolution :premises (@p477 @p459) :args (@t358 @t334 @t400)) % 126.45/128.38 (step @p479 :rule cnf_or_pos :args (@t403)) % 126.45/128.38 (step @p480 :rule reordering :premises (@p479) :args ((or @t364 @t357 @t402 (not @t403)))) % 126.45/128.38 (step @p481 :rule chain_m_resolution :premises (@p480 @p456 @p478 @p475) :args (@t402 @t325 (@list @t363 @t357 @t403))) % 126.45/128.38 (step @p482 :rule alpha_equiv :args (@t356 (@list @t84 @t86) (@list @t155 @t72))) % 126.45/128.38 (step @p483 :rule equiv_elim1 :premises (@p482)) % 126.45/128.38 (step @p484 :rule reordering :premises (@p483) :args ((or @t401 (not @t356)))) % 126.45/128.38 (step @p485 false :rule chain_m_resolution :premises (@p484 @p481 @p462) :args (false @t336 (@list @t401 @t356))) % 126.45/128.38 ) % 126.45/128.38 % SZS output end Proof % 126.45/128.38 % cvc5 exiting %------------------------------------------------------------------------------