%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV561+1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:56:07 AM UTC 2026 % Result : Theorem 158.79s 159.22s % Output : Proof 158.79s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV561+1 : TPTP v9.2.1. Released v9.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 18:38:16 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 158.79/159.22 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 158.79/159.22 --- Run --no-e-matching --full-saturate-quant at 6... % 158.79/159.22 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 158.79/159.22 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 158.79/159.22 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 158.79/159.22 --- Run --trigger-sel=max --full-saturate-quant at 15... % 158.79/159.22 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 158.79/159.22 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 158.79/159.22 --- Run --prenex-quant=none --full-saturate-quant at 30... % 158.79/159.22 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 158.79/159.22 % SZS status Theorem % 158.79/159.22 % SZS output start Proof % 158.79/159.22 ( % 158.79/159.22 (declare-sort $$unsorted 0) % 158.79/159.22 (declare-const tptp.atleast16p (-> $$unsorted Bool)) % 158.79/159.22 (declare-const tptp.atleast15p (-> $$unsorted Bool)) % 158.79/159.22 (declare-const tptp.atleast14p (-> $$unsorted Bool)) % 158.79/159.22 (declare-const tptp.atleast12p (-> $$unsorted Bool)) % 158.79/159.22 (declare-const tptp.atleast11p (-> $$unsorted Bool)) % 158.79/159.22 (declare-const tptp.atleast10p (-> $$unsorted Bool)) % 158.79/159.22 (declare-const tptp.atleast8p (-> $$unsorted Bool)) % 158.79/159.22 (declare-const tptp.atleast6p (-> $$unsorted Bool)) % 158.79/159.22 (declare-const tptp.atleast5p (-> $$unsorted Bool)) % 158.79/159.22 (declare-const tptp.atleast9p (-> $$unsorted Bool)) % 158.79/159.22 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 158.79/159.22 (declare-const tptp.disj (-> $$unsorted $$unsorted Bool)) % 158.79/159.22 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 158.79/159.22 (declare-const tptp.atleast2p (-> $$unsorted Bool)) % 158.79/159.22 (declare-const tptp.e $$unsorted) % 158.79/159.22 (declare-const tptp.u (-> $$unsorted $$unsorted $$unsorted)) % 158.79/159.22 (declare-const tptp.atleast13p (-> $$unsorted Bool)) % 158.79/159.22 (declare-const tptp.subq (-> $$unsorted $$unsorted Bool)) % 158.79/159.22 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 158.79/159.22 (declare-const tptp.m (-> $$unsorted $$unsorted $$unsorted)) % 158.79/159.22 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 158.79/159.22 (declare-const tptp.atleast7p (-> $$unsorted Bool)) % 158.79/159.22 (declare-const tptp.atleast3p (-> $$unsorted Bool)) % 158.79/159.22 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 158.79/159.22 (declare-const tptp.atleast4p (-> $$unsorted Bool)) % 158.79/159.22 (define @t1 () (@var "Y" $$unsorted)) % 158.79/159.22 (define @t2 () (@var "Z" $$unsorted)) % 158.79/159.22 (define @t3 () (tptp.mem @t2 @t1)) % 158.79/159.22 (define @t4 () (@var "X" $$unsorted)) % 158.79/159.22 (define @t5 () (tptp.mem @t2 @t4)) % 158.79/159.22 (define @t6 () (@list @t2)) % 158.79/159.22 (define @t7 () (forall @t6 (=> @t5 @t3))) % 158.79/159.22 (define @t8 () (tptp.subq @t4 @t1)) % 158.79/159.22 (define @t9 () (= @t8 @t7)) % 158.79/159.22 (define @t10 () (@list @t4 @t1)) % 158.79/159.22 (define @t11 () (forall @t10 @t9)) % 158.79/159.22 (define @t12 () (= @t4 @t1)) % 158.79/159.22 (define @t13 () (tptp.subq @t1 @t4)) % 158.79/159.22 (define @t14 () (=> @t13 @t12)) % 158.79/159.22 (define @t15 () (forall @t10 (=> @t8 @t14))) % 158.79/159.22 (define @t16 () (and @t5 @t3)) % 158.79/159.22 (define @t17 () (exists @t6 @t16)) % 158.79/159.22 (define @t18 () (not @t17)) % 158.79/159.22 (define @t19 () (tptp.disj @t4 @t1)) % 158.79/159.22 (define @t20 () (= @t19 @t18)) % 158.79/159.22 (define @t21 () (forall @t10 @t20)) % 158.79/159.22 (define @t22 () (@list @t4)) % 158.79/159.22 (define @t23 () (tptp.s @t1)) % 158.79/159.22 (define @t24 () (tptp.mem @t4 @t23)) % 158.79/159.22 (define @t25 () (forall @t10 (= @t24 @t12))) % 158.79/159.22 (define @t26 () (tptp.mem @t4 @t2)) % 158.79/159.22 (define @t27 () (tptp.mem @t4 @t1)) % 158.79/159.22 (define @t28 () (@list @t4 @t1 @t2)) % 158.79/159.22 (define @t29 () (tptp.p @t1)) % 158.79/159.22 (define @t30 () (tptp.mem @t4 @t29)) % 158.79/159.22 (define @t31 () (forall @t10 (= @t30 @t8))) % 158.79/159.22 (define @t32 () (@list @t1)) % 158.79/159.22 (define @t33 () (not @t8)) % 158.79/159.22 (define @t34 () (tptp.n tptp.e)) % 158.79/159.22 (define @t35 () (tptp.n @t34)) % 158.79/159.22 (define @t36 () (tptp.s @t34)) % 158.79/159.22 (define @t37 () (tptp.s @t36)) % 158.79/159.22 (define @t38 () (tptp.a @t37 @t35)) % 158.79/159.22 (define @t39 () (tptp.n @t38)) % 158.79/159.22 (define @t40 () (tptp.p @t37)) % 158.79/159.22 (define @t41 () (tptp.disj @t40 @t39)) % 158.79/159.22 (define @t42 () (tptp.s @t38)) % 158.79/159.22 (define @t43 () (forall @t6 (or (not (tptp.mem @t2 @t40)) (not (tptp.mem @t2 @t39))))) % 158.79/159.22 (define @t44 () (@quantifiers_skolemize @t43 0)) % 158.79/159.22 (define @t45 () (forall @t6 (not @t16))) % 158.79/159.22 (define @t46 () (not @t45)) % 158.79/159.22 (define @t47 () (= @t41 @t43)) % 158.79/159.22 (define @t48 () (not @t43)) % 158.79/159.22 (define @t49 () (@list true false)) % 158.79/159.22 (define @t50 () (tptp.mem @t44 @t39)) % 158.79/159.22 (define @t51 () (not @t50)) % 158.79/159.22 (define @t52 () (tptp.mem @t44 @t40)) % 158.79/159.22 (define @t53 () (not @t52)) % 158.79/159.22 (define @t54 () (or @t53 @t51)) % 158.79/159.22 (define @t55 () (@list true)) % 158.79/159.22 (define @t56 () (@list @t54)) % 158.79/159.22 (define @t57 () (tptp.mem @t44 (tptp.u @t38 @t42))) % 158.79/159.22 (define @t58 () (tptp.mem @t44 @t42)) % 158.79/159.22 (define @t59 () (tptp.mem @t44 @t38)) % 158.79/159.22 (define @t60 () (or @t59 @t58)) % 158.79/159.22 (define @t61 () (= @t57 @t60)) % 158.79/159.22 (define @t62 () (@list false false)) % 158.79/159.22 (define @t63 () (= @t44 @t38)) % 158.79/159.22 (define @t64 () (forall @t10 (= @t12 @t24))) % 158.79/159.22 (define @t65 () (= @t63 @t58)) % 158.79/159.22 (define @t66 () (= @t38 @t44)) % 158.79/159.22 (define @t67 () (= @t58 @t66)) % 158.79/159.22 (define @t68 () (@list false)) % 158.79/159.22 (define @t69 () (@list @t64)) % 158.79/159.22 (define @t70 () (tptp.s @t35)) % 158.79/159.22 (define @t71 () (tptp.mem @t35 @t70)) % 158.79/159.22 (define @t72 () (= (= @t35 @t35) @t71)) % 158.79/159.22 (define @t73 () (tptp.mem @t35 @t37)) % 158.79/159.22 (define @t74 () (or @t73 @t71)) % 158.79/159.22 (define @t75 () (tptp.u @t37 @t70)) % 158.79/159.22 (define @t76 () (tptp.mem @t35 @t75)) % 158.79/159.22 (define @t77 () (= @t76 @t74)) % 158.79/159.22 (define @t78 () (@list @t44 @t37)) % 158.79/159.22 (define @t79 () (tptp.subq @t44 @t37)) % 158.79/159.22 (define @t80 () (forall @t10 (= @t8 @t30))) % 158.79/159.22 (define @t81 () (= @t79 @t52)) % 158.79/159.22 (define @t82 () (= @t52 @t79)) % 158.79/159.22 (define @t83 () (forall @t6 (or (not (tptp.mem @t2 @t44)) (tptp.mem @t2 @t37)))) % 158.79/159.22 (define @t84 () (= @t79 @t83)) % 158.79/159.22 (define @t85 () (= @t35 @t36)) % 158.79/159.22 (define @t86 () (= @t85 @t73)) % 158.79/159.22 (define @t87 () (= @t36 @t35)) % 158.79/159.22 (define @t88 () (= @t73 @t87)) % 158.79/159.22 (define @t89 () (forall @t6 (or (not (tptp.mem @t2 @t34)) (tptp.mem @t2 @t35)))) % 158.79/159.22 (define @t90 () (@quantifiers_skolemize @t89 0)) % 158.79/159.22 (define @t91 () (tptp.mem @t90 @t34)) % 158.79/159.22 (define @t92 () (tptp.mem @t90 @t35)) % 158.79/159.22 (define @t93 () (not @t91)) % 158.79/159.22 (define @t94 () (or @t93 @t92)) % 158.79/159.22 (define @t95 () (or @t91 (tptp.mem @t90 @t36))) % 158.79/159.22 (define @t96 () (tptp.u @t34 @t36)) % 158.79/159.22 (define @t97 () (tptp.mem @t90 @t96)) % 158.79/159.22 (define @t98 () (= @t97 @t95)) % 158.79/159.22 (define @t99 () (@list @t34)) % 158.79/159.22 (define @t100 () (@list @t34 @t34)) % 158.79/159.22 (define @t101 () (not @t97)) % 158.79/159.22 (define @t102 () (tptp.a @t34 @t34)) % 158.79/159.22 (define @t103 () (= @t102 @t96)) % 158.79/159.22 (define @t104 () (not @t103)) % 158.79/159.22 (define @t105 () (= @t35 @t102)) % 158.79/159.22 (define @t106 () (not @t105)) % 158.79/159.22 (define @t107 () (not @t92)) % 158.79/159.22 (define @t108 () (and @t105 @t103 @t107)) % 158.79/159.22 (define @t109 () (not @t94)) % 158.79/159.22 (define @t110 () (not @t89)) % 158.79/159.22 (define @t111 () (@list tptp.e)) % 158.79/159.22 (define @t112 () (tptp.mem tptp.e @t35)) % 158.79/159.22 (define @t113 () (tptp.mem tptp.e @t34)) % 158.79/159.22 (define @t114 () (not @t113)) % 158.79/159.22 (define @t115 () (or @t114 @t112)) % 158.79/159.22 (define @t116 () (tptp.s tptp.e)) % 158.79/159.22 (define @t117 () (tptp.mem tptp.e @t116)) % 158.79/159.22 (define @t118 () (= (= tptp.e tptp.e) @t117)) % 158.79/159.22 (define @t119 () (@list tptp.e tptp.e)) % 158.79/159.22 (define @t120 () (tptp.mem tptp.e tptp.e)) % 158.79/159.22 (define @t121 () (or @t120 @t117)) % 158.79/159.22 (define @t122 () (tptp.u tptp.e @t116)) % 158.79/159.22 (define @t123 () (tptp.mem tptp.e @t122)) % 158.79/159.22 (define @t124 () (= @t123 @t121)) % 158.79/159.22 (define @t125 () (not @t123)) % 158.79/159.22 (define @t126 () (tptp.a tptp.e tptp.e)) % 158.79/159.22 (define @t127 () (= @t126 @t122)) % 158.79/159.22 (define @t128 () (not @t127)) % 158.79/159.22 (define @t129 () (= tptp.e @t34)) % 158.79/159.22 (define @t130 () (not @t129)) % 158.79/159.22 (define @t131 () (= @t34 @t126)) % 158.79/159.22 (define @t132 () (not @t131)) % 158.79/159.22 (define @t133 () (not @t120)) % 158.79/159.22 (define @t134 () (= false true)) % 158.79/159.22 (define @t135 () (and @t123 @t127 @t131 @t129 @t133)) % 158.79/159.22 (define @t136 () (tptp.mem tptp.e @t36)) % 158.79/159.22 (define @t137 () (= @t129 @t136)) % 158.79/159.22 (define @t138 () (not @t136)) % 158.79/159.22 (define @t139 () (not @t112)) % 158.79/159.22 (define @t140 () (not @t87)) % 158.79/159.22 (define @t141 () (not @t138)) % 158.79/159.22 (define @t142 () (and @t112 @t87 @t138)) % 158.79/159.22 (define @t143 () (not @t73)) % 158.79/159.22 (define @t144 () (tptp.mem @t35 @t44)) % 158.79/159.22 (define @t145 () (not @t144)) % 158.79/159.22 (define @t146 () (or @t145 @t73)) % 158.79/159.22 (define @t147 () (not @t76)) % 158.79/159.22 (define @t148 () (not @t66)) % 158.79/159.22 (define @t149 () (= @t38 @t75)) % 158.79/159.22 (define @t150 () (not @t149)) % 158.79/159.22 (define @t151 () (and @t76 @t149 @t66 @t145)) % 158.79/159.22 (define @t152 () (@list false true false)) % 158.79/159.22 (define @t153 () (not @t58)) % 158.79/159.22 (define @t154 () (tptp.mem @t44 @t70)) % 158.79/159.22 (define @t155 () (= @t44 @t35)) % 158.79/159.22 (define @t156 () (= @t155 @t154)) % 158.79/159.22 (define @t157 () (= @t35 @t44)) % 158.79/159.22 (define @t158 () (= @t154 @t157)) % 158.79/159.22 (define @t159 () (@list tptp.e @t36)) % 158.79/159.22 (define @t160 () (tptp.mem @t34 @t36)) % 158.79/159.22 (define @t161 () (= (= @t34 @t34) @t160)) % 158.79/159.22 (define @t162 () (not @t160)) % 158.79/159.22 (define @t163 () (tptp.mem @t34 tptp.e)) % 158.79/159.22 (define @t164 () (= tptp.e @t36)) % 158.79/159.22 (define @t165 () (not @t164)) % 158.79/159.22 (define @t166 () (not @t163)) % 158.79/159.22 (define @t167 () (and @t166 @t164 @t160)) % 158.79/159.22 (define @t168 () (tptp.mem tptp.e @t37)) % 158.79/159.22 (define @t169 () (= @t164 @t168)) % 158.79/159.22 (define @t170 () (not @t168)) % 158.79/159.22 (define @t171 () (tptp.mem tptp.e @t44)) % 158.79/159.22 (define @t172 () (not @t171)) % 158.79/159.22 (define @t173 () (or @t172 @t168)) % 158.79/159.22 (define @t174 () (and @t157 @t112)) % 158.79/159.22 (define @t175 () (not @t157)) % 158.79/159.22 (define @t176 () (not @t154)) % 158.79/159.22 (define @t177 () (tptp.mem @t44 @t37)) % 158.79/159.22 (define @t178 () (= @t44 @t36)) % 158.79/159.22 (define @t179 () (= @t178 @t177)) % 158.79/159.22 (define @t180 () (= @t36 @t44)) % 158.79/159.22 (define @t181 () (= @t177 @t180)) % 158.79/159.22 (define @t182 () (= @t34 @t36)) % 158.79/159.22 (define @t183 () (not @t182)) % 158.79/159.22 (define @t184 () (and @t123 @t127 @t131 @t182 @t138)) % 158.79/159.22 (define @t185 () (tptp.mem @t34 @t37)) % 158.79/159.22 (define @t186 () (= @t182 @t185)) % 158.79/159.22 (define @t187 () (not @t185)) % 158.79/159.22 (define @t188 () (tptp.mem @t34 @t44)) % 158.79/159.22 (define @t189 () (not @t188)) % 158.79/159.22 (define @t190 () (or @t189 @t185)) % 158.79/159.22 (define @t191 () (tptp.mem @t2 tptp.e)) % 158.79/159.22 (define @t192 () (tptp.mem @t2 @t36)) % 158.79/159.22 (define @t193 () (forall @t6 (or (not @t192) @t191))) % 158.79/159.22 (define @t194 () (@quantifiers_skolemize @t193 0)) % 158.79/159.22 (define @t195 () (tptp.mem @t194 @t36)) % 158.79/159.22 (define @t196 () (= @t194 @t34)) % 158.79/159.22 (define @t197 () (= @t196 @t195)) % 158.79/159.22 (define @t198 () (= @t34 @t194)) % 158.79/159.22 (define @t199 () (= @t195 @t198)) % 158.79/159.22 (define @t200 () (not @t13)) % 158.79/159.22 (define @t201 () (forall @t6 (or (not @t191) @t192))) % 158.79/159.22 (define @t202 () (@quantifiers_skolemize @t201 0)) % 158.79/159.22 (define @t203 () (tptp.mem @t202 tptp.e)) % 158.79/159.22 (define @t204 () (not @t203)) % 158.79/159.22 (define @t205 () (or @t204 (tptp.mem @t202 @t36))) % 158.79/159.22 (define @t206 () (not @t205)) % 158.79/159.22 (define @t207 () (not @t201)) % 158.79/159.22 (define @t208 () (tptp.subq tptp.e @t36)) % 158.79/159.22 (define @t209 () (= @t208 @t201)) % 158.79/159.22 (define @t210 () (tptp.subq @t36 tptp.e)) % 158.79/159.22 (define @t211 () (not @t210)) % 158.79/159.22 (define @t212 () (not @t208)) % 158.79/159.22 (define @t213 () (or @t212 @t211 @t164)) % 158.79/159.22 (define @t214 () (= @t210 @t193)) % 158.79/159.22 (define @t215 () (not @t193)) % 158.79/159.22 (define @t216 () (not @t195)) % 158.79/159.22 (define @t217 () (or @t216 (tptp.mem @t194 tptp.e))) % 158.79/159.22 (define @t218 () (not @t217)) % 158.79/159.22 (define @t219 () (not @t180)) % 158.79/159.22 (define @t220 () (not @t198)) % 158.79/159.22 (define @t221 () (not @t177)) % 158.79/159.22 (define @t222 () (or @t177 @t154)) % 158.79/159.22 (define @t223 () (not @t222)) % 158.79/159.22 (define @t224 () (tptp.mem @t44 @t75)) % 158.79/159.22 (define @t225 () (= @t224 @t222)) % 158.79/159.22 (define @t226 () (not @t224)) % 158.79/159.22 (define @t227 () (and @t149 @t59)) % 158.79/159.22 (assume @p1 @t11) % 158.79/159.22 (assume @p2 @t15) % 158.79/159.22 (assume @p3 @t21) % 158.79/159.22 (assume @p4 (forall @t22 (not (tptp.mem @t4 tptp.e)))) % 158.79/159.22 (assume @p5 @t25) % 158.79/159.22 (assume @p6 (forall @t28 (= (tptp.mem @t4 (tptp.u @t1 @t2)) (or @t27 @t26)))) % 158.79/159.22 (assume @p7 (forall @t28 (= (tptp.mem @t4 (tptp.m @t1 @t2)) (and @t27 (not @t26))))) % 158.79/159.22 (assume @p8 (forall @t10 (= (tptp.a @t4 @t1) (tptp.u @t4 @t23)))) % 158.79/159.22 (assume @p9 (forall @t22 (= (tptp.n @t4) (tptp.a @t4 @t4)))) % 158.79/159.22 (assume @p10 @t31) % 158.79/159.22 (assume @p11 (forall @t22 (= (tptp.atleast2p @t4) (exists @t32 (and (tptp.mem @t1 @t4) (not (tptp.subq @t4 @t29))))))) % 158.79/159.22 (assume @p12 (forall @t22 (= (tptp.atleast3p @t4) (exists @t32 (and @t13 (tptp.atleast2p @t1) @t33))))) % 158.79/159.22 (assume @p13 (forall @t22 (= (tptp.atleast4p @t4) (exists @t32 (and @t13 (tptp.atleast3p @t1) @t33))))) % 158.79/159.22 (assume @p14 (forall @t22 (= (tptp.atleast5p @t4) (exists @t32 (and @t13 (tptp.atleast4p @t1) @t33))))) % 158.79/159.22 (assume @p15 (forall @t22 (= (tptp.atleast6p @t4) (exists @t32 (and @t13 (tptp.atleast5p @t1) @t33))))) % 158.79/159.22 (assume @p16 (forall @t22 (= (tptp.atleast7p @t4) (exists @t32 (and @t13 (tptp.atleast6p @t1) @t33))))) % 158.79/159.22 (assume @p17 (forall @t22 (= (tptp.atleast8p @t4) (exists @t32 (and @t13 (tptp.atleast7p @t1) @t33))))) % 158.79/159.22 (assume @p18 (forall @t22 (= (tptp.atleast9p @t4) (exists @t32 (and @t13 (tptp.atleast8p @t1) @t33))))) % 158.79/159.22 (assume @p19 (forall @t22 (= (tptp.atleast10p @t4) (exists @t32 (and @t13 (tptp.atleast9p @t1) @t33))))) % 158.79/159.22 (assume @p20 (forall @t22 (= (tptp.atleast11p @t4) (exists @t32 (and @t13 (tptp.atleast10p @t1) @t33))))) % 158.79/159.22 (assume @p21 (forall @t22 (= (tptp.atleast12p @t4) (exists @t32 (and @t13 (tptp.atleast11p @t1) @t33))))) % 158.79/159.22 (assume @p22 (forall @t22 (= (tptp.atleast13p @t4) (exists @t32 (and @t13 (tptp.atleast12p @t1) @t33))))) % 158.79/159.22 (assume @p23 (forall @t22 (= (tptp.atleast14p @t4) (exists @t32 (and @t13 (tptp.atleast13p @t1) @t33))))) % 158.79/159.22 (assume @p24 (forall @t22 (= (tptp.atleast15p @t4) (exists @t32 (and @t13 (tptp.atleast14p @t1) @t33))))) % 158.79/159.22 (assume @p25 (forall @t22 (= (tptp.atleast16p @t4) (exists @t32 (and @t13 (tptp.atleast15p @t1) @t33))))) % 158.79/159.22 (assume @p26 (not @t41)) % 158.79/159.22 (assume @p27 true) % 158.79/159.22 (step @p28 :rule instantiate :premises (@p6) :args ((@list @t44 @t38 @t42))) % 158.79/159.22 (step @p29 :rule bool-double-not-elim :args ((forall @t6 (or (not @t5) (not @t3))))) % 158.79/159.22 (step @p30 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 158.79/159.22 (step @p31 :rule cong :premises (@p30) :args (@t45)) % 158.79/159.22 (step @p32 :rule cong :premises (@p31) :args (@t46)) % 158.79/159.22 (step @p33 :rule exists-elim :args ((= @t17 @t46))) % 158.79/159.22 (step @p34 :rule trans :premises (@p33 @p32)) % 158.79/159.22 (step @p35 :rule cong :premises (@p34) :args (@t18)) % 158.79/159.22 (step @p36 :rule trans :premises (@p35 @p29)) % 158.79/159.22 (step @p37 :rule refl :args (@t19)) % 158.79/159.22 (step @p38 :rule cong :premises (@p37 @p36) :args (@t20)) % 158.79/159.22 (step @p39 :rule cong :premises (@p38) :args (@t21)) % 158.79/159.22 (step @p40 :rule eq_resolve :premises (@p3 @p39)) % 158.79/159.22 (step @p41 :rule instantiate :premises (@p40) :args ((@list @t40 @t39))) % 158.79/159.22 (step @p42 :rule cnf_equiv_pos2 :args (@t47)) % 158.79/159.22 (step @p43 :rule reordering :premises (@p42) :args ((or @t41 @t48 (not @t47)))) % 158.79/159.22 (step @p44 :rule chain_m_resolution :premises (@p43 @p26 @p41) :args (@t48 @t49 (@list @t41 @t47))) % 158.79/159.22 (step @p45 :rule skolemize :premises (@p44)) % 158.79/159.22 (step @p46 :rule bool-double-not-elim :args (@t50)) % 158.79/159.22 (step @p47 :rule refl :args (@t54)) % 158.79/159.22 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t54 (not @t51)))) % 158.79/159.22 (step @p49 :rule cnf_or_neg :args (@t54 1)) % 158.79/159.22 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 158.79/159.22 (step @p51 :rule reordering :premises (@p50) :args ((or @t50 @t54))) % 158.79/159.22 (step @p52 :rule chain_m_resolution :premises (@p51 @p45) :args (@t50 @t55 @t56)) % 158.79/159.22 (step @p53 :rule true_intro :premises (@p52)) % 158.79/159.22 (step @p54 :rule instantiate :premises (@p9) :args ((@list @t38))) % 158.79/159.22 (step @p55 :rule symm :premises (@p54)) % 158.79/159.22 (step @p56 :rule instantiate :premises (@p8) :args ((@list @t38 @t38))) % 158.79/159.22 (step @p57 :rule symm :premises (@p56)) % 158.79/159.22 (step @p58 :rule trans :premises (@p57 @p55)) % 158.79/159.22 (step @p59 :rule refl :args (@t44)) % 158.79/159.22 (step @p60 :rule cong :premises (@p59 @p58) :args (@t57)) % 158.79/159.22 (step @p61 :rule trans :premises (@p60 @p53)) % 158.79/159.22 (step @p62 :rule true_elim :premises (@p61)) % 158.79/159.22 (step @p63 :rule cnf_equiv_pos1 :args (@t61)) % 158.79/159.22 (step @p64 :rule reordering :premises (@p63) :args ((or @t60 (not @t57) (not @t61)))) % 158.79/159.22 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p28) :args (@t60 @t62 (@list @t57 @t61))) % 158.79/159.22 (step @p66 :rule eq-symm :args (@t24 @t12)) % 158.79/159.22 (step @p67 :rule cong :premises (@p66) :args (@t25)) % 158.79/159.22 (step @p68 :rule eq_resolve :premises (@p5 @p67)) % 158.79/159.22 (step @p69 :rule eq-symm :args (@t44 @t38)) % 158.79/159.22 (step @p70 :rule refl :args (@t58)) % 158.79/159.22 (step @p71 :rule cong :premises (@p70 @p69) :args ((= @t58 @t63))) % 158.79/159.22 (step @p72 :rule eq-symm :args (@t63 @t58)) % 158.79/159.22 (step @p73 :rule trans :premises (@p72 @p71)) % 158.79/159.22 (step @p74 :rule refl :args (@t64)) % 158.79/159.22 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t64 @t65))) % 158.79/159.22 (assume-push @p654 @t64) % 158.79/159.22 (step @p77 :rule instantiate :premises (@p68) :args ((@list @t44 @t38))) % 158.79/159.22 (step-pop @p655 :rule scope :premises (@p77)) % 158.79/159.22 (step @p78 :rule process_scope :premises (@p655) :args (@t65)) % 158.79/159.22 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 158.79/159.22 (step @p81 :rule implies_elim :premises (@p80)) % 158.79/159.22 (step @p82 :rule chain_m_resolution :premises (@p81 @p68) :args (@t67 @t68 @t69)) % 158.79/159.22 (step @p83 :rule instantiate :premises (@p6) :args ((@list @t35 @t37 @t70))) % 158.79/159.22 (step @p84 :rule bool-eq-true :args (@t71)) % 158.79/159.22 (step @p85 :rule eq-symm :args (true @t71)) % 158.79/159.22 (step @p86 :rule trans :premises (@p85 @p84)) % 158.79/159.22 (step @p87 :rule refl :args (@t71)) % 158.79/159.22 (step @p88 :rule eq-refl :args (@t35)) % 158.79/159.22 (step @p89 :rule cong :premises (@p88 @p87) :args (@t72)) % 158.79/159.22 (step @p90 :rule trans :premises (@p89 @p86)) % 158.79/159.22 (step @p91 :rule cong :premises (@p74 @p90) :args ((=> @t64 @t72))) % 158.79/159.22 (assume-push @p656 @t64) % 158.79/159.22 (step @p93 :rule instantiate :premises (@p68) :args ((@list @t35 @t35))) % 158.79/159.22 (step-pop @p657 :rule scope :premises (@p93)) % 158.79/159.22 (step @p94 :rule process_scope :premises (@p657) :args (@t72)) % 158.79/159.22 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 158.79/159.22 (step @p97 :rule implies_elim :premises (@p96)) % 158.79/159.22 (step @p98 :rule chain_m_resolution :premises (@p97 @p68) :args (@t71 @t68 @t69)) % 158.79/159.22 (step @p99 :rule cnf_or_neg :args (@t74 1)) % 158.79/159.22 (step @p100 :rule chain_m_resolution :premises (@p99 @p98) :args (@t74 @t68 (@list @t71))) % 158.79/159.22 (step @p101 :rule cnf_equiv_pos2 :args (@t77)) % 158.79/159.22 (step @p102 :rule reordering :premises (@p101) :args ((or @t76 (not @t74) (not @t77)))) % 158.79/159.22 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p83) :args (@t76 @t62 (@list @t74 @t77))) % 158.79/159.22 (step @p104 :rule bool-impl-elim :args (@t5 @t3)) % 158.79/159.22 (step @p105 :rule cong :premises (@p104) :args (@t7)) % 158.79/159.22 (step @p106 :rule refl :args (@t8)) % 158.79/159.22 (step @p107 :rule cong :premises (@p106 @p105) :args (@t9)) % 158.79/159.22 (step @p108 :rule cong :premises (@p107) :args (@t11)) % 158.79/159.22 (step @p109 :rule eq_resolve :premises (@p1 @p108)) % 158.79/159.22 (step @p110 :rule instantiate :premises (@p109) :args (@t78)) % 158.79/159.22 (step @p111 :rule eq-symm :args (@t30 @t8)) % 158.79/159.22 (step @p112 :rule cong :premises (@p111) :args (@t31)) % 158.79/159.22 (step @p113 :rule eq_resolve :premises (@p10 @p112)) % 158.79/159.22 (step @p114 :rule eq-symm :args (@t79 @t52)) % 158.79/159.22 (step @p115 :rule refl :args (@t80)) % 158.79/159.22 (step @p116 :rule cong :premises (@p115 @p114) :args ((=> @t80 @t81))) % 158.79/159.22 (assume-push @p658 @t80) % 158.79/159.22 (step @p118 :rule instantiate :premises (@p113) :args (@t78)) % 158.79/159.22 (step-pop @p659 :rule scope :premises (@p118)) % 158.79/159.22 (step @p119 :rule process_scope :premises (@p659) :args (@t81)) % 158.79/159.22 (step @p121 :rule eq_resolve :premises (@p119 @p116)) % 158.79/159.22 (step @p122 :rule implies_elim :premises (@p121)) % 158.79/159.22 (step @p123 :rule chain_m_resolution :premises (@p122 @p113) :args (@t82 @t68 (@list @t80))) % 158.79/159.22 (step @p124 :rule bool-double-not-elim :args (@t52)) % 158.79/159.22 (step @p125 :rule nary_cong :premises (@p47 @p124) :args ((or @t54 (not @t53)))) % 158.79/159.22 (step @p126 :rule cnf_or_neg :args (@t54 0)) % 158.79/159.22 (step @p127 :rule eq_resolve :premises (@p126 @p125)) % 158.79/159.22 (step @p128 :rule reordering :premises (@p127) :args ((or @t52 @t54))) % 158.79/159.22 (step @p129 :rule chain_m_resolution :premises (@p128 @p45) :args (@t52 @t55 @t56)) % 158.79/159.22 (step @p130 :rule cnf_equiv_pos1 :args (@t82)) % 158.79/159.22 (step @p131 :rule reordering :premises (@p130) :args ((or @t53 @t79 (not @t82)))) % 158.79/159.22 (step @p132 :rule chain_m_resolution :premises (@p131 @p129 @p123) :args (@t79 @t62 (@list @t52 @t82))) % 158.79/159.22 (step @p133 :rule cnf_equiv_pos1 :args (@t84)) % 158.79/159.22 (step @p134 :rule reordering :premises (@p133) :args ((or (not @t79) @t83 (not @t84)))) % 158.79/159.22 (step @p135 :rule chain_m_resolution :premises (@p134 @p132 @p110) :args (@t83 @t62 (@list @t79 @t84))) % 158.79/159.22 (step @p136 :rule instantiate :premises (@p135) :args ((@list @t35))) % 158.79/159.22 (step @p137 :rule eq-symm :args (@t35 @t36)) % 158.79/159.22 (step @p138 :rule refl :args (@t73)) % 158.79/159.22 (step @p139 :rule cong :premises (@p138 @p137) :args ((= @t73 @t85))) % 158.79/159.22 (step @p140 :rule eq-symm :args (@t85 @t73)) % 158.79/159.22 (step @p141 :rule trans :premises (@p140 @p139)) % 158.79/159.22 (step @p142 :rule cong :premises (@p74 @p141) :args ((=> @t64 @t86))) % 158.79/159.22 (assume-push @p660 @t64) % 158.79/159.22 (step @p144 :rule instantiate :premises (@p68) :args ((@list @t35 @t36))) % 158.79/159.22 (step-pop @p661 :rule scope :premises (@p144)) % 158.79/159.22 (step @p145 :rule process_scope :premises (@p661) :args (@t86)) % 158.79/159.22 (step @p147 :rule eq_resolve :premises (@p145 @p142)) % 158.79/159.22 (step @p148 :rule implies_elim :premises (@p147)) % 158.79/159.22 (step @p149 :rule chain_m_resolution :premises (@p148 @p68) :args (@t88 @t68 @t69)) % 158.79/159.22 (step @p150 :rule bool-double-not-elim :args (@t91)) % 158.79/159.22 (step @p151 :rule refl :args (@t94)) % 158.79/159.22 (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((or @t94 (not @t93)))) % 158.79/159.22 (step @p153 :rule cnf_or_neg :args (@t94 0)) % 158.79/159.22 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 158.79/159.22 (step @p155 :rule reordering :premises (@p154) :args ((or @t91 @t94))) % 158.79/159.22 (step @p156 :rule cnf_or_neg :args (@t94 1)) % 158.79/159.22 (step @p157 :rule cnf_or_neg :args (@t95 0)) % 158.79/159.22 (step @p158 :rule reordering :premises (@p157) :args ((or @t93 @t95))) % 158.79/159.22 (step @p159 :rule instantiate :premises (@p6) :args ((@list @t90 @t34 @t36))) % 158.79/159.22 (step @p160 :rule cnf_equiv_pos2 :args (@t98)) % 158.79/159.22 (step @p161 :rule reordering :premises (@p160) :args ((or @t97 (not @t95) (not @t98)))) % 158.79/159.22 (step @p162 :rule instantiate :premises (@p9) :args (@t99)) % 158.79/159.22 (step @p163 :rule instantiate :premises (@p8) :args (@t100)) % 158.79/159.22 (step @p164 :rule refl :args (@t101)) % 158.79/159.22 (step @p165 :rule bool-double-not-elim :args (@t92)) % 158.79/159.22 (step @p166 :rule refl :args (@t104)) % 158.79/159.22 (step @p167 :rule refl :args (@t106)) % 158.79/159.22 (step @p168 :rule nary_cong :premises (@p167 @p166 @p165 @p164) :args ((or @t106 @t104 (not @t107) @t101))) % 158.79/159.22 (assume-push @p662 @t105) % 158.79/159.22 (assume-push @p663 @t103) % 158.79/159.22 (assume-push @p664 @t107) % 158.79/159.22 (assume-push @p665 @t107) % 158.79/159.22 (assume-push @p666 @t105) % 158.79/159.22 (assume-push @p667 @t103) % 158.79/159.22 (step @p175 :rule false_intro :premises (@p664)) % 158.79/159.22 (step @p176 :rule symm :premises (@p162)) % 158.79/159.22 (step @p177 :rule symm :premises (@p163)) % 158.79/159.22 (step @p178 :rule trans :premises (@p177 @p176)) % 158.79/159.22 (step @p179 :rule refl :args (@t90)) % 158.79/159.22 (step @p180 :rule cong :premises (@p179 @p178) :args (@t97)) % 158.79/159.22 (step @p181 :rule trans :premises (@p180 @p175)) % 158.79/159.22 (step @p182 :rule false_elim :premises (@p181)) % 158.79/159.22 (step-pop @p668 :rule scope :premises (@p182)) % 158.79/159.22 (step-pop @p669 :rule scope :premises (@p668)) % 158.79/159.22 (step-pop @p670 :rule scope :premises (@p669)) % 158.79/159.22 (step @p183 :rule process_scope :premises (@p670) :args (@t101)) % 158.79/159.22 (step @p187 :rule and_intro :premises (@p664 @p162 @p163)) % 158.79/159.22 (step @p188 :rule modus_ponens :premises (@p187 @p183)) % 158.79/159.22 (step-pop @p671 :rule scope :premises (@p188)) % 158.79/159.22 (step-pop @p672 :rule scope :premises (@p671)) % 158.79/159.22 (step-pop @p673 :rule scope :premises (@p672)) % 158.79/159.22 (step @p189 :rule process_scope :premises (@p673) :args (@t101)) % 158.79/159.22 (step @p193 :rule implies_elim :premises (@p189)) % 158.79/159.22 (step @p194 :rule cnf_and_neg :args (@t108)) % 158.79/159.22 (step @p195 :rule resolution :premises (@p194 @p193) :args (true @t108)) % 158.79/159.22 (step @p196 :rule eq_resolve :premises (@p195 @p168)) % 158.79/159.22 (step @p197 :rule chain_m_resolution :premises (@p196 @p163 @p162 @p161 @p159 @p158 @p156 @p155) :args (@t94 (@list false false false false false true false) (@list @t103 @t105 @t97 @t98 @t95 @t92 @t91))) % 158.79/159.22 (step @p198 :rule refl :args (@t109)) % 158.79/159.22 (step @p199 :rule bool-double-not-elim :args (@t89)) % 158.79/159.22 (step @p200 :rule nary_cong :premises (@p199 @p198) :args ((or (not @t110) @t109))) % 158.79/159.22 (assume-push @p674 @t110) % 158.79/159.22 (step @p202 :rule skolemize :premises (@p674)) % 158.79/159.22 (step-pop @p675 :rule scope :premises (@p202)) % 158.79/159.22 (step @p203 :rule process_scope :premises (@p675) :args (@t109)) % 158.79/159.22 (step @p205 :rule implies_elim :premises (@p203)) % 158.79/159.22 (step @p206 :rule eq_resolve :premises (@p205 @p200)) % 158.79/159.22 (step @p207 :rule chain_m_resolution :premises (@p206 @p197) :args (@t89 @t68 (@list @t94))) % 158.79/159.22 (assume-push @p676 @t89) % 158.79/159.22 (step @p209 :rule instantiate :premises (@p676) :args (@t111)) % 158.79/159.22 (step-pop @p677 :rule scope :premises (@p209)) % 158.79/159.22 (step @p210 :rule process_scope :premises (@p677) :args (@t115)) % 158.79/159.22 (step @p212 :rule implies_elim :premises (@p210)) % 158.79/159.22 (step @p213 :rule chain_m_resolution :premises (@p212 @p207) :args (@t115 @t68 (@list @t89))) % 158.79/159.22 (step @p214 :rule instantiate :premises (@p6) :args ((@list tptp.e tptp.e @t116))) % 158.79/159.22 (step @p215 :rule bool-eq-true :args (@t117)) % 158.79/159.22 (step @p216 :rule eq-symm :args (true @t117)) % 158.79/159.22 (step @p217 :rule trans :premises (@p216 @p215)) % 158.79/159.22 (step @p218 :rule refl :args (@t117)) % 158.79/159.22 (step @p219 :rule eq-refl :args (tptp.e)) % 158.79/159.22 (step @p220 :rule cong :premises (@p219 @p218) :args (@t118)) % 158.79/159.22 (step @p221 :rule trans :premises (@p220 @p217)) % 158.79/159.22 (step @p222 :rule cong :premises (@p74 @p221) :args ((=> @t64 @t118))) % 158.79/159.22 (assume-push @p678 @t64) % 158.79/159.22 (step @p224 :rule instantiate :premises (@p68) :args (@t119)) % 158.79/159.22 (step-pop @p679 :rule scope :premises (@p224)) % 158.79/159.22 (step @p225 :rule process_scope :premises (@p679) :args (@t118)) % 158.79/159.22 (step @p227 :rule eq_resolve :premises (@p225 @p222)) % 158.79/159.22 (step @p228 :rule implies_elim :premises (@p227)) % 158.79/159.22 (step @p229 :rule chain_m_resolution :premises (@p228 @p68) :args (@t117 @t68 @t69)) % 158.79/159.22 (step @p230 :rule cnf_or_neg :args (@t121 1)) % 158.79/159.22 (step @p231 :rule reordering :premises (@p230) :args ((or (not @t117) @t121))) % 158.79/159.22 (step @p232 :rule chain_m_resolution :premises (@p231 @p229) :args (@t121 @t68 (@list @t117))) % 158.79/159.22 (step @p233 :rule cnf_equiv_pos2 :args (@t124)) % 158.79/159.22 (step @p234 :rule reordering :premises (@p233) :args ((or @t123 (not @t121) (not @t124)))) % 158.79/159.22 (step @p235 :rule chain_m_resolution :premises (@p234 @p232 @p214) :args (@t123 @t62 (@list @t121 @t124))) % 158.79/159.22 (step @p236 :rule true_intro :premises (@p235)) % 158.79/159.22 (step @p237 :rule instantiate :premises (@p8) :args (@t119)) % 158.79/159.22 (step @p238 :rule instantiate 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(step @p479 :rule implies_elim :premises (@p478)) % 158.79/159.22 (step @p480 :rule chain_m_resolution :premises (@p479 @p68) :args (@t181 @t68 @t69)) % 158.79/159.22 (step @p481 :rule instantiate :premises (@p135) :args (@t99)) % 158.79/159.22 (step @p482 :rule instantiate :premises (@p68) :args ((@list @t34 @t36))) % 158.79/159.22 (step @p483 :rule refl :args (@t183)) % 158.79/159.22 (step @p484 :rule nary_cong :premises (@p253 @p250 @p295 @p249 @p483) :args ((or @t132 @t128 @t141 @t125 @t183))) % 158.79/159.22 (assume-push @p754 @t123) % 158.79/159.22 (assume-push @p755 @t127) % 158.79/159.22 (assume-push @p756 @t131) % 158.79/159.22 (assume-push @p757 @t182) % 158.79/159.22 (assume-push @p758 @t138) % 158.79/159.22 (step @p260 :rule evaluate :args (@t134)) % 158.79/159.22 (step @p490 :rule symm :premises (@p757)) % 158.79/159.22 (step @p491 :rule cong :premises (@p240 @p490) :args (@t136)) % 158.79/159.22 (step @p492 :rule false_intro :premises (@p758)) % 158.79/159.22 (step @p493 :rule symm :premises (@p492)) % 158.79/159.22 (step @p494 :rule trans :premises (@p493 @p491 @p241 @p236)) % 158.79/159.22 (step @p495 false :rule eq_resolve :premises (@p494 @p260)) % 158.79/159.22 (step-pop @p759 :rule scope :premises (@p495)) % 158.79/159.22 (step-pop @p760 :rule scope :premises (@p759)) % 158.79/159.22 (step-pop @p761 :rule scope :premises (@p760)) % 158.79/159.22 (step-pop @p762 :rule scope :premises (@p761)) % 158.79/159.22 (step-pop @p763 :rule scope :premises (@p762)) % 158.79/159.22 (step @p496 :rule process_scope :premises (@p763) :args (false)) % 158.79/159.22 (assume-push @p764 @t131) % 158.79/159.22 (assume-push @p765 @t127) % 158.79/159.22 (assume-push @p766 @t138) % 158.79/159.22 (assume-push @p767 @t123) % 158.79/159.22 (assume-push @p768 @t182) % 158.79/159.22 (step @p507 :rule and_intro :premises (@p235 @p237 @p238 @p768 @p766)) % 158.79/159.22 (step-pop @p769 :rule scope :premises (@p507)) % 158.79/159.22 (step-pop @p770 :rule scope :premises (@p769)) % 158.79/159.22 (step-pop @p771 :rule scope :premises (@p770)) % 158.79/159.22 (step-pop @p772 :rule scope :premises (@p771)) % 158.79/159.22 (step-pop @p773 :rule scope :premises (@p772)) % 158.79/159.22 (step @p508 :rule process_scope :premises (@p773) :args (@t184)) % 158.79/159.22 (step @p514 :rule implies_elim :premises (@p508)) % 158.79/159.22 (step @p515 :rule resolution :premises (@p514 @p496) :args (true @t184)) % 158.79/159.22 (step @p516 :rule not_and :premises (@p515)) % 158.79/159.22 (step @p517 :rule eq_resolve :premises (@p516 @p484)) % 158.79/159.22 (step @p518 :rule chain_m_resolution :premises (@p517 @p238 @p237 @p292 @p235) :args (@t183 (@list false false true false) (@list @t131 @t127 @t136 @t123))) % 158.79/159.22 (step @p519 :rule cnf_equiv_pos2 :args (@t186)) % 158.79/159.22 (step @p520 :rule reordering :premises (@p519) :args ((or @t182 @t187 (not @t186)))) % 158.79/159.22 (step @p521 :rule chain_m_resolution :premises (@p520 @p518 @p482) :args (@t187 @t49 (@list @t182 @t186))) % 158.79/159.22 (step @p522 :rule cnf_or_pos :args (@t190)) % 158.79/159.22 (step @p523 :rule reordering :premises (@p522) :args ((or @t185 @t189 (not @t190)))) % 158.79/159.22 (step @p524 :rule chain_m_resolution :premises (@p523 @p521 @p481) :args (@t189 @t49 (@list @t185 @t190))) % 158.79/159.22 (step @p525 :rule eq-symm :args (@t194 @t34)) % 158.79/159.22 (step @p526 :rule refl :args (@t195)) % 158.79/159.22 (step @p527 :rule cong :premises (@p526 @p525) :args ((= @t195 @t196))) % 158.79/159.22 (step @p528 :rule eq-symm :args (@t196 @t195)) % 158.79/159.22 (step @p529 :rule trans :premises (@p528 @p527)) % 158.79/159.22 (step @p530 :rule cong :premises (@p74 @p529) :args ((=> @t64 @t197))) % 158.79/159.22 (assume-push @p774 @t64) % 158.79/159.22 (step @p532 :rule instantiate :premises (@p68) :args ((@list @t194 @t34))) % 158.79/159.22 (step-pop @p775 :rule scope :premises (@p532)) % 158.79/159.22 (step @p533 :rule process_scope :premises (@p775) :args (@t197)) % 158.79/159.22 (step @p535 :rule eq_resolve :premises (@p533 @p530)) % 158.79/159.22 (step @p536 :rule implies_elim :premises (@p535)) % 158.79/159.22 (step @p537 :rule chain_m_resolution :premises (@p536 @p68) :args (@t199 @t68 @t69)) % 158.79/159.22 (step @p538 :rule instantiate :premises (@p109) :args ((@list @t36 tptp.e))) % 158.79/159.22 (step @p539 :rule aci_norm :args ((= (or @t33 (or @t200 @t12)) (or @t33 @t200 @t12)))) % 158.79/159.22 (step @p540 :rule bool-impl-elim :args (@t13 @t12)) % 158.79/159.22 (step @p541 :rule refl :args (@t33)) % 158.79/159.22 (step @p542 :rule nary_cong :premises (@p541 @p540) :args ((or @t33 @t14))) % 158.79/159.22 (step @p543 :rule trans :premises (@p542 @p539)) % 158.79/159.22 (step @p544 :rule bool-impl-elim :args (@t8 @t14)) % 158.79/159.22 (step @p545 :rule trans :premises (@p544 @p543)) % 158.79/159.22 (step @p546 :rule cong :premises (@p545) :args (@t15)) % 158.79/159.22 (step @p547 :rule eq_resolve :premises (@p2 @p546)) % 158.79/159.22 (step @p548 :rule instantiate :premises (@p547) :args (@t159)) % 158.79/159.22 (step @p549 :rule instantiate :premises (@p109) :args (@t159)) % 158.79/159.22 (step @p550 :rule instantiate :premises (@p4) :args ((@list @t202))) % 158.79/159.22 (step @p551 :rule bool-double-not-elim :args (@t203)) % 158.79/159.22 (step @p552 :rule refl :args (@t205)) % 158.79/159.22 (step @p553 :rule nary_cong :premises (@p552 @p551) :args ((or @t205 (not @t204)))) % 158.79/159.22 (step @p554 :rule cnf_or_neg :args (@t205 0)) % 158.79/159.22 (step @p555 :rule eq_resolve :premises (@p554 @p553)) % 158.79/159.22 (step @p556 :rule reordering :premises (@p555) :args ((or @t203 @t205))) % 158.79/159.22 (step @p557 :rule chain_m_resolution :premises (@p556 @p550) :args (@t205 @t55 (@list @t203))) % 158.79/159.22 (step @p558 :rule refl :args (@t206)) % 158.79/159.22 (step @p559 :rule bool-double-not-elim :args (@t201)) % 158.79/159.22 (step @p560 :rule nary_cong :premises (@p559 @p558) :args ((or (not @t207) @t206))) % 158.79/159.22 (assume-push @p776 @t207) % 158.79/159.22 (step @p562 :rule skolemize :premises (@p776)) % 158.79/159.22 (step-pop @p777 :rule scope :premises (@p562)) % 158.79/159.22 (step @p563 :rule process_scope :premises (@p777) :args (@t206)) % 158.79/159.22 (step @p565 :rule implies_elim :premises (@p563)) % 158.79/159.22 (step @p566 :rule eq_resolve :premises (@p565 @p560)) % 158.79/159.22 (step @p567 :rule chain_m_resolution :premises (@p566 @p557) :args (@t201 @t68 (@list @t205))) % 158.79/159.22 (step @p568 :rule cnf_equiv_pos2 :args (@t209)) % 158.79/159.22 (step @p569 :rule reordering :premises (@p568) :args ((or @t208 @t207 (not @t209)))) % 158.79/159.22 (step @p570 :rule chain_m_resolution :premises (@p569 @p567 @p549) :args (@t208 @t62 (@list @t201 @t209))) % 158.79/159.22 (step @p571 :rule cnf_or_pos :args (@t213)) % 158.79/159.22 (step @p572 :rule reordering :premises (@p571) :args ((or @t212 @t211 @t164 (not @t213)))) % 158.79/159.22 (step @p573 :rule chain_m_resolution :premises (@p572 @p570 @p436 @p548) :args (@t211 @t152 (@list @t208 @t164 @t213))) % 158.79/159.22 (step @p574 :rule cnf_equiv_pos2 :args (@t214)) % 158.79/159.22 (step @p575 :rule reordering :premises (@p574) :args ((or @t210 @t215 (not @t214)))) % 158.79/159.22 (step @p576 :rule chain_m_resolution :premises (@p575 @p573 @p538) :args (@t215 @t49 (@list @t210 @t214))) % 158.79/159.22 (step @p577 :rule refl :args (@t218)) % 158.79/159.22 (step @p578 :rule bool-double-not-elim :args (@t193)) % 158.79/159.22 (step @p579 :rule nary_cong :premises (@p578 @p577) :args ((or (not @t215) @t218))) % 158.79/159.22 (assume-push @p778 @t215) % 158.79/159.22 (step @p581 :rule skolemize :premises (@p778)) % 158.79/159.22 (step-pop @p779 :rule scope :premises (@p581)) % 158.79/159.22 (step @p582 :rule process_scope :premises (@p779) :args (@t218)) % 158.79/159.22 (step @p584 :rule implies_elim :premises (@p582)) % 158.79/159.22 (step @p585 :rule eq_resolve :premises (@p584 @p579)) % 158.79/159.22 (step @p586 :rule chain_m_resolution :premises (@p585 @p576) :args (@t218 @t55 (@list @t193))) % 158.79/159.22 (step @p587 :rule bool-double-not-elim :args (@t195)) % 158.79/159.22 (step @p588 :rule refl :args (@t217)) % 158.79/159.22 (step @p589 :rule nary_cong :premises (@p588 @p587) :args ((or @t217 (not @t216)))) % 158.79/159.22 (step @p590 :rule cnf_or_neg :args (@t217 0)) % 158.79/159.22 (step @p591 :rule eq_resolve :premises (@p590 @p589)) % 158.79/159.22 (step @p592 :rule reordering :premises (@p591) :args ((or @t195 @t217))) % 158.79/159.22 (step @p593 :rule chain_m_resolution :premises (@p592 @p586) :args (@t195 @t55 (@list @t217))) % 158.79/159.22 (step @p594 :rule cnf_equiv_pos1 :args (@t199)) % 158.79/159.22 (step @p595 :rule reordering :premises (@p594) :args ((or @t216 @t198 (not @t199)))) % 158.79/159.22 (step @p596 :rule chain_m_resolution :premises (@p595 @p593 @p537) :args (@t198 @t62 (@list @t195 @t199))) % 158.79/159.22 (step @p597 :rule bool-double-not-elim :args (@t188)) % 158.79/159.22 (step @p598 :rule refl :args (@t219)) % 158.79/159.22 (step @p599 :rule refl :args (@t220)) % 158.79/159.22 (step @p600 :rule refl :args (@t216)) % 158.79/159.22 (step @p601 :rule nary_cong :premises (@p600 @p599 @p598 @p597) :args ((or @t216 @t220 @t219 (not @t189)))) % 158.79/159.22 (assume-push @p780 @t195) % 158.79/159.22 (assume-push @p781 @t198) % 158.79/159.22 (assume-push @p782 @t180) % 158.79/159.22 (assume-push @p783 @t189) % 158.79/159.22 (step @p260 :rule evaluate :args (@t134)) % 158.79/159.22 (step @p606 :rule true_intro :premises (@p780)) % 158.79/159.22 (step @p607 :rule symm :premises (@p782)) % 158.79/159.22 (step @p608 :rule cong :premises (@p781 @p607) :args (@t188)) % 158.79/159.22 (step @p609 :rule false_intro :premises (@p783)) % 158.79/159.22 (step @p610 :rule symm :premises (@p609)) % 158.79/159.22 (step @p611 :rule trans :premises (@p610 @p608 @p606)) % 158.79/159.22 (step @p612 false :rule eq_resolve :premises (@p611 @p260)) % 158.79/159.22 (step-pop @p784 :rule scope :premises (@p612)) % 158.79/159.22 (step-pop @p785 :rule scope :premises (@p784)) % 158.79/159.22 (step-pop @p786 :rule scope :premises (@p785)) % 158.79/159.22 (step-pop @p787 :rule scope :premises (@p786)) % 158.79/159.22 (step @p613 :rule process_scope :premises (@p787) :args (false)) % 158.79/159.22 (step @p618 :rule not_and :premises (@p613)) % 158.79/159.22 (step @p619 :rule eq_resolve :premises (@p618 @p601)) % 158.79/159.22 (step @p620 :rule chain_m_resolution :premises (@p619 @p593 @p596 @p524) :args (@t219 (@list false false true) (@list @t195 @t198 @t188))) % 158.79/159.22 (step @p621 :rule cnf_equiv_pos1 :args (@t181)) % 158.79/159.22 (step @p622 :rule reordering :premises (@p621) :args ((or @t221 @t180 (not @t181)))) % 158.79/159.22 (step @p623 :rule chain_m_resolution :premises (@p622 @p620 @p480) :args (@t221 @t49 (@list @t180 @t181))) % 158.79/159.22 (step @p624 :rule cnf_or_pos :args (@t222)) % 158.79/159.22 (step @p625 :rule reordering :premises (@p624) :args ((or @t177 @t154 @t223))) % 158.79/159.22 (step @p626 :rule chain_m_resolution :premises (@p625 @p623 @p467) :args (@t223 (@list true true) (@list @t177 @t154))) % 158.79/159.22 (step @p627 :rule cnf_equiv_pos1 :args (@t225)) % 158.79/159.22 (step @p628 :rule reordering :premises (@p627) :args ((or @t222 @t226 (not @t225)))) % 158.79/159.22 (step @p629 :rule chain_m_resolution :premises (@p628 @p626 @p371) :args (@t226 @t49 (@list @t222 @t225))) % 158.79/159.22 (assume-push @p788 @t149) % 158.79/159.22 (assume-push @p789 @t59) % 158.79/159.22 (assume-push @p790 @t59) % 158.79/159.22 (assume-push @p791 @t149) % 158.79/159.22 (step @p634 :rule true_intro :premises (@p789)) % 158.79/159.22 (step @p635 :rule symm :premises (@p329)) % 158.79/159.22 (step @p636 :rule cong :premises (@p59 @p635) :args (@t224)) % 158.79/159.22 (step @p637 :rule trans :premises (@p636 @p634)) % 158.79/159.22 (step @p638 :rule true_elim :premises (@p637)) % 158.79/159.22 (step-pop @p792 :rule scope :premises (@p638)) % 158.79/159.22 (step-pop @p793 :rule scope :premises (@p792)) % 158.79/159.22 (step @p639 :rule process_scope :premises (@p793) :args (@t224)) % 158.79/159.22 (step @p642 :rule and_intro :premises (@p789 @p329)) % 158.79/159.22 (step @p643 :rule modus_ponens :premises (@p642 @p639)) % 158.79/159.22 (step-pop @p794 :rule scope :premises (@p643)) % 158.79/159.22 (step-pop @p795 :rule scope :premises (@p794)) % 158.79/159.22 (step @p644 :rule process_scope :premises (@p795) :args (@t224)) % 158.79/159.22 (step @p647 :rule implies_elim :premises (@p644)) % 158.79/159.22 (step @p648 :rule cnf_and_neg :args (@t227)) % 158.79/159.22 (step @p649 :rule resolution :premises (@p648 @p647) :args (true @t227)) % 158.79/159.22 (step @p650 :rule chain_m_resolution :premises (@p649 @p329 @p629) :args ((not @t59) (@list false true) (@list @t149 @t224))) % 158.79/159.22 (step @p651 :rule cnf_or_pos :args (@t60)) % 158.79/159.22 (step @p652 :rule reordering :premises (@p651) :args ((or @t59 @t58 (not @t60)))) % 158.79/159.22 (step @p653 false :rule chain_m_resolution :premises (@p652 @p650 @p370 @p65) :args (false (@list true true false) (@list @t59 @t58 @t60))) % 158.79/159.22 ) % 158.79/159.22 % SZS output end Proof % 158.79/159.22 % cvc5 exiting %------------------------------------------------------------------------------