%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN723+1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:09:43 AM UTC 2026 % Result : Theorem 0.39s 0.63s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN723+1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n027.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 23:34:21 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.63 % SZS status Theorem % 0.39/0.63 % SZS output start Proof % 0.39/0.63 ( % 0.39/0.63 (declare-sort $$unsorted 0) % 0.39/0.63 (declare-const tptp.r (-> $$unsorted Bool)) % 0.39/0.63 (declare-const tptp.s (-> $$unsorted Bool)) % 0.39/0.63 (declare-const tptp.p (-> $$unsorted Bool)) % 0.39/0.63 (declare-const tptp.q (-> $$unsorted Bool)) % 0.39/0.63 (define @t1 () (@var "Y" $$unsorted)) % 0.39/0.63 (define @t2 () (tptp.q @t1)) % 0.39/0.63 (define @t3 () (@list @t1)) % 0.39/0.63 (define @t4 () (forall @t3 @t2)) % 0.39/0.63 (define @t5 () (@var "X" $$unsorted)) % 0.39/0.63 (define @t6 () (tptp.p @t5)) % 0.39/0.63 (define @t7 () (@list @t5)) % 0.39/0.63 (define @t8 () (exists @t7 @t6)) % 0.39/0.63 (define @t9 () (= @t8 @t4)) % 0.39/0.63 (define @t10 () (tptp.s @t1)) % 0.39/0.63 (define @t11 () (tptp.s @t5)) % 0.39/0.63 (define @t12 () (forall @t3 (= @t11 @t10))) % 0.39/0.63 (define @t13 () (exists @t7 @t12)) % 0.39/0.63 (define @t14 () (= @t13 @t9)) % 0.39/0.63 (define @t15 () (tptp.p @t1)) % 0.39/0.63 (define @t16 () (forall @t3 @t15)) % 0.39/0.63 (define @t17 () (exists @t7 @t11)) % 0.39/0.63 (define @t18 () (= @t17 @t16)) % 0.39/0.63 (define @t19 () (= @t18 @t14)) % 0.39/0.63 (define @t20 () (tptp.r @t1)) % 0.39/0.63 (define @t21 () (tptp.r @t5)) % 0.39/0.63 (define @t22 () (forall @t3 (= @t21 @t20))) % 0.39/0.63 (define @t23 () (exists @t7 @t22)) % 0.39/0.63 (define @t24 () (= @t23 @t19)) % 0.39/0.63 (define @t25 () (forall @t3 @t10)) % 0.39/0.63 (define @t26 () (exists @t7 @t21)) % 0.39/0.63 (define @t27 () (= @t26 @t25)) % 0.39/0.63 (define @t28 () (tptp.q @t5)) % 0.39/0.63 (define @t29 () (forall @t3 (= @t28 @t2))) % 0.39/0.63 (define @t30 () (exists @t7 @t29)) % 0.39/0.63 (define @t31 () (= @t30 @t27)) % 0.39/0.63 (define @t32 () (= @t31 @t24)) % 0.39/0.63 (define @t33 () (forall @t3 @t20)) % 0.39/0.63 (define @t34 () (exists @t7 @t28)) % 0.39/0.63 (define @t35 () (= @t34 @t33)) % 0.39/0.63 (define @t36 () (= @t35 @t32)) % 0.39/0.63 (define @t37 () (forall @t3 (= @t6 @t15))) % 0.39/0.63 (define @t38 () (exists @t7 @t37)) % 0.39/0.63 (define @t39 () (= @t38 @t36)) % 0.39/0.63 (define @t40 () (not @t39)) % 0.39/0.63 (define @t41 () (forall @t3 (= @t10 @t11))) % 0.39/0.63 (define @t42 () (forall @t7 (not @t41))) % 0.39/0.63 (define @t43 () (@quantifiers_skolemize @t42 0)) % 0.39/0.63 (define @t44 () (tptp.r @t43)) % 0.39/0.63 (define @t45 () (forall @t3 (= @t20 @t44))) % 0.39/0.63 (define @t46 () (@quantifiers_skolemize @t45 0)) % 0.39/0.63 (define @t47 () (@list @t46)) % 0.39/0.63 (define @t48 () (tptp.p @t46)) % 0.39/0.63 (define @t49 () (forall @t3 (= @t15 @t48))) % 0.39/0.63 (define @t50 () (@quantifiers_skolemize @t49 0)) % 0.39/0.63 (define @t51 () (@list @t50)) % 0.39/0.63 (define @t52 () (tptp.p @t50)) % 0.39/0.63 (define @t53 () (= @t48 @t52)) % 0.39/0.63 (define @t54 () (not @t52)) % 0.39/0.63 (define @t55 () (not @t48)) % 0.39/0.63 (define @t56 () (not @t16)) % 0.39/0.63 (define @t57 () (@list false false)) % 0.39/0.63 (define @t58 () (not @t53)) % 0.39/0.63 (define @t59 () (not @t49)) % 0.39/0.63 (define @t60 () (not (= @t52 @t48))) % 0.39/0.63 (define @t61 () (forall @t3 (= @t48 @t15))) % 0.39/0.63 (define @t62 () (not @t61)) % 0.39/0.63 (define @t63 () (forall @t7 (not @t37))) % 0.39/0.63 (define @t64 () (forall @t7 (not @t6))) % 0.39/0.63 (define @t65 () (not @t64)) % 0.39/0.63 (define @t66 () (= @t4 @t65)) % 0.39/0.63 (define @t67 () (not @t42)) % 0.39/0.63 (define @t68 () (= @t67 @t66)) % 0.39/0.63 (define @t69 () (forall @t7 (not @t11))) % 0.39/0.63 (define @t70 () (not @t69)) % 0.39/0.63 (define @t71 () (= @t16 @t70)) % 0.39/0.63 (define @t72 () (= @t71 @t68)) % 0.39/0.63 (define @t73 () (forall @t3 (= @t20 @t21))) % 0.39/0.63 (define @t74 () (forall @t7 (not @t73))) % 0.39/0.63 (define @t75 () (not @t74)) % 0.39/0.63 (define @t76 () (= @t75 @t72)) % 0.39/0.63 (define @t77 () (forall @t7 (not @t21))) % 0.39/0.63 (define @t78 () (not @t77)) % 0.39/0.63 (define @t79 () (= @t25 @t78)) % 0.39/0.63 (define @t80 () (forall @t7 (not @t29))) % 0.39/0.63 (define @t81 () (not @t80)) % 0.39/0.63 (define @t82 () (= @t81 @t79)) % 0.39/0.63 (define @t83 () (= @t82 @t76)) % 0.39/0.63 (define @t84 () (forall @t7 (not @t28))) % 0.39/0.63 (define @t85 () (not @t84)) % 0.39/0.63 (define @t86 () (= @t33 @t85)) % 0.39/0.63 (define @t87 () (= @t86 @t83)) % 0.39/0.63 (define @t88 () (not @t87)) % 0.39/0.63 (define @t89 () (not @t63)) % 0.39/0.63 (define @t90 () (not @t89)) % 0.39/0.63 (define @t91 () (@quantifiers_skolemize @t63 0)) % 0.39/0.63 (define @t92 () (@list @t91)) % 0.39/0.63 (define @t93 () (tptp.p @t91)) % 0.39/0.63 (define @t94 () (not @t93)) % 0.39/0.63 (define @t95 () (@list @t43)) % 0.39/0.63 (define @t96 () (tptp.q @t43)) % 0.39/0.63 (define @t97 () (not @t96)) % 0.39/0.63 (define @t98 () (forall @t3 (= @t2 @t96))) % 0.39/0.63 (define @t99 () (@quantifiers_skolemize @t98 0)) % 0.39/0.63 (define @t100 () (@list @t99)) % 0.39/0.63 (define @t101 () (tptp.q @t99)) % 0.39/0.63 (define @t102 () (= @t96 @t101)) % 0.39/0.63 (define @t103 () (@list true true)) % 0.39/0.63 (define @t104 () (not @t70)) % 0.39/0.63 (define @t105 () (tptp.s @t43)) % 0.39/0.63 (define @t106 () (not @t105)) % 0.39/0.63 (define @t107 () (forall @t3 (= @t10 @t105))) % 0.39/0.63 (define @t108 () (@quantifiers_skolemize @t107 0)) % 0.39/0.63 (define @t109 () (@list @t108)) % 0.39/0.63 (define @t110 () (tptp.s @t108)) % 0.39/0.63 (define @t111 () (not @t110)) % 0.39/0.63 (define @t112 () (= @t105 @t110)) % 0.39/0.63 (define @t113 () (@list @t110 @t105)) % 0.39/0.63 (define @t114 () (not @t112)) % 0.39/0.63 (define @t115 () (not @t107)) % 0.39/0.63 (define @t116 () (not @t115)) % 0.39/0.63 (define @t117 () (not (= @t110 @t105))) % 0.39/0.63 (define @t118 () (not @t68)) % 0.39/0.63 (define @t119 () (not @t67)) % 0.39/0.63 (define @t120 () (not @t66)) % 0.39/0.63 (define @t121 () (not @t65)) % 0.39/0.63 (define @t122 () (@quantifiers_skolemize @t4 0)) % 0.39/0.63 (define @t123 () (@list @t122)) % 0.39/0.63 (define @t124 () (tptp.q @t122)) % 0.39/0.63 (define @t125 () (not @t4)) % 0.39/0.63 (define @t126 () (not @t124)) % 0.39/0.63 (define @t127 () (not @t102)) % 0.39/0.63 (define @t128 () (not @t98)) % 0.39/0.63 (define @t129 () (not (= @t101 @t96))) % 0.39/0.63 (define @t130 () (forall @t3 (= @t96 @t2))) % 0.39/0.63 (define @t131 () (not @t130)) % 0.39/0.63 (define @t132 () (not @t79)) % 0.39/0.63 (define @t133 () (not @t81)) % 0.39/0.63 (define @t134 () (@quantifiers_skolemize @t77 0)) % 0.39/0.63 (define @t135 () (tptp.r @t134)) % 0.39/0.63 (define @t136 () (not @t78)) % 0.39/0.63 (define @t137 () (not @t135)) % 0.39/0.63 (define @t138 () (not @t137)) % 0.39/0.63 (define @t139 () (not @t83)) % 0.39/0.63 (define @t140 () (not @t76)) % 0.39/0.63 (define @t141 () (not @t75)) % 0.39/0.63 (define @t142 () (not @t45)) % 0.39/0.63 (define @t143 () (not @t86)) % 0.39/0.63 (define @t144 () (not @t85)) % 0.39/0.63 (define @t145 () (tptp.r @t46)) % 0.39/0.63 (define @t146 () (= @t44 @t145)) % 0.39/0.63 (define @t147 () (not @t146)) % 0.39/0.63 (define @t148 () (not (= @t145 @t44))) % 0.39/0.63 (define @t149 () (not @t145)) % 0.39/0.63 (define @t150 () (not @t44)) % 0.39/0.63 (define @t151 () (@quantifiers_skolemize @t74 0)) % 0.39/0.63 (define @t152 () (tptp.r @t151)) % 0.39/0.63 (define @t153 () (forall @t3 (= @t20 @t152))) % 0.39/0.63 (define @t154 () (not @t153)) % 0.39/0.63 (define @t155 () (not @t154)) % 0.39/0.63 (define @t156 () (not @t33)) % 0.39/0.63 (define @t157 () (= @t135 @t152)) % 0.39/0.63 (define @t158 () (@quantifiers_skolemize @t33 0)) % 0.39/0.63 (define @t159 () (tptp.r @t158)) % 0.39/0.63 (define @t160 () (= @t159 @t152)) % 0.39/0.63 (define @t161 () (not @t159)) % 0.39/0.63 (define @t162 () (= @t152 @t135)) % 0.39/0.63 (define @t163 () (= @t152 @t159)) % 0.39/0.63 (define @t164 () (not @t152)) % 0.39/0.63 (define @t165 () (@quantifiers_skolemize @t16 0)) % 0.39/0.63 (define @t166 () (tptp.p @t165)) % 0.39/0.63 (define @t167 () (not @t166)) % 0.39/0.63 (define @t168 () (@quantifiers_skolemize @t69 0)) % 0.39/0.63 (define @t169 () (tptp.s @t168)) % 0.39/0.63 (define @t170 () (= @t169 @t105)) % 0.39/0.63 (define @t171 () (@quantifiers_skolemize @t25 0)) % 0.39/0.63 (define @t172 () (tptp.s @t171)) % 0.39/0.63 (define @t173 () (= @t172 @t105)) % 0.39/0.63 (define @t174 () (@list @t171)) % 0.39/0.63 (define @t175 () (= @t105 @t172)) % 0.39/0.63 (define @t176 () (= @t105 @t169)) % 0.39/0.63 (define @t177 () (not @t169)) % 0.39/0.63 (define @t178 () (not @t177)) % 0.39/0.63 (define @t179 () (not @t172)) % 0.39/0.63 (define @t180 () (not @t25)) % 0.39/0.63 (define @t181 () (@list @t151)) % 0.39/0.63 (define @t182 () (forall @t3 (= @t15 @t93))) % 0.39/0.63 (define @t183 () (forall @t3 (= @t93 @t15))) % 0.39/0.63 (define @t184 () (not (not @t183))) % 0.39/0.63 (define @t185 () (@quantifiers_skolemize @t64 0)) % 0.39/0.63 (define @t186 () (tptp.p @t185)) % 0.39/0.63 (define @t187 () (= @t186 @t93)) % 0.39/0.63 (define @t188 () (@list @t185)) % 0.39/0.63 (define @t189 () (= @t166 @t93)) % 0.39/0.63 (define @t190 () (tptp.q (@quantifiers_skolemize @t80 0))) % 0.39/0.63 (define @t191 () (forall @t3 (= @t2 @t190))) % 0.39/0.63 (define @t192 () (forall @t3 (= @t190 @t2))) % 0.39/0.63 (define @t193 () (not (not @t192))) % 0.39/0.63 (define @t194 () (not @t71)) % 0.39/0.63 (define @t195 () (not @t72)) % 0.39/0.63 (define @t196 () (not @t186)) % 0.39/0.63 (define @t197 () (not @t196)) % 0.39/0.63 (define @t198 () (= @t124 @t190)) % 0.39/0.63 (define @t199 () (@quantifiers_skolemize @t84 0)) % 0.39/0.63 (define @t200 () (@list @t199)) % 0.39/0.63 (define @t201 () (tptp.q @t199)) % 0.39/0.63 (define @t202 () (= @t201 @t190)) % 0.39/0.63 (define @t203 () (not @t190)) % 0.39/0.63 (define @t204 () (not @t201)) % 0.39/0.63 (define @t205 () (not @t191)) % 0.39/0.63 (define @t206 () (= @t93 @t186)) % 0.39/0.63 (define @t207 () (not @t206)) % 0.39/0.63 (define @t208 () (not @t204)) % 0.39/0.63 (define @t209 () (= @t93 @t166)) % 0.39/0.63 (define @t210 () (not @t209)) % 0.39/0.63 (define @t211 () (= @t152 @t145)) % 0.39/0.63 (define @t212 () (= @t145 @t152)) % 0.39/0.63 (define @t213 () (@quantifiers_skolemize @t153 0)) % 0.39/0.63 (define @t214 () (tptp.r @t213)) % 0.39/0.63 (define @t215 () (= @t152 @t214)) % 0.39/0.63 (define @t216 () (not @t215)) % 0.39/0.63 (define @t217 () (not (= @t214 @t152))) % 0.39/0.63 (define @t218 () (= @t48 @t93)) % 0.39/0.63 (define @t219 () (= @t52 @t93)) % 0.39/0.63 (define @t220 () (= @t93 @t48)) % 0.39/0.63 (define @t221 () (= @t93 @t52)) % 0.39/0.63 (define @t222 () (not @t182)) % 0.39/0.63 (define @t223 () (@quantifiers_skolemize @t182 0)) % 0.39/0.63 (define @t224 () (tptp.p @t223)) % 0.39/0.63 (define @t225 () (= @t93 @t224)) % 0.39/0.63 (define @t226 () (not @t225)) % 0.39/0.63 (define @t227 () (not (= @t224 @t93))) % 0.39/0.63 (define @t228 () (@list @t145 @t44)) % 0.39/0.63 (define @t229 () (not @t82)) % 0.39/0.63 (define @t230 () (@list true)) % 0.39/0.63 (define @t231 () (@list @t105 @t175 @t176 @t169 @t107 @t69 @t42 @t71)) % 0.39/0.63 (define @t232 () (@list false)) % 0.39/0.63 (define @t233 () (@list @t182)) % 0.39/0.63 (define @t234 () (@list @t84)) % 0.39/0.63 (define @t235 () (@list true false)) % 0.39/0.63 (assume @p1 @t40) % 0.39/0.63 (assume @p2 true) % 0.39/0.63 (assume-push @p801 @t16) % 0.39/0.63 (step @p4 :rule instantiate :premises (@p801) :args (@t47)) % 0.39/0.63 (step-pop @p802 :rule scope :premises (@p4)) % 0.39/0.63 (step @p5 :rule process_scope :premises (@p802) :args (@t48)) % 0.39/0.63 (step @p7 :rule implies_elim :premises (@p5)) % 0.39/0.63 (assume-push @p803 @t16) % 0.39/0.63 (step @p9 :rule instantiate :premises (@p803) :args (@t51)) % 0.39/0.63 (step-pop @p804 :rule scope :premises (@p9)) % 0.39/0.63 (step @p10 :rule process_scope :premises (@p804) :args (@t52)) % 0.39/0.63 (step @p12 :rule implies_elim :premises (@p10)) % 0.39/0.63 (step @p13 :rule cnf_equiv_neg2 :args (@t53)) % 0.39/0.63 (step @p14 :rule reordering :premises (@p13) :args ((or @t55 @t53 @t54))) % 0.39/0.63 (step @p15 :rule chain_m_resolution :premises (@p14 @p12 @p7) :args ((or @t56 @t53) @t57 (@list @t52 @t48))) % 0.39/0.63 (step @p16 :rule refl :args (@t58)) % 0.39/0.63 (step @p17 :rule bool-double-not-elim :args (@t49)) % 0.39/0.63 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or (not @t59) @t58))) % 0.39/0.63 (step @p19 :rule eq-symm :args (@t52 @t48)) % 0.39/0.63 (step @p20 :rule cong :premises (@p19) :args (@t60)) % 0.39/0.63 (step @p21 :rule refl :args (@t59)) % 0.39/0.63 (step @p22 :rule cong :premises (@p21 @p20) :args ((=> @t59 @t60))) % 0.39/0.63 (assume-push @p805 @t59) % 0.39/0.63 (step @p24 :rule skolemize :premises (@p805)) % 0.39/0.63 (step-pop @p806 :rule scope :premises (@p24)) % 0.39/0.63 (step @p25 :rule process_scope :premises (@p806) :args (@t60)) % 0.39/0.63 (step @p27 :rule eq_resolve :premises (@p25 @p22)) % 0.39/0.63 (step @p28 :rule implies_elim :premises (@p27)) % 0.39/0.63 (step @p29 :rule eq_resolve :premises (@p28 @p18)) % 0.39/0.63 (step @p30 :rule eq-symm :args (@t48 @t15)) % 0.39/0.63 (step @p31 :rule cong :premises (@p30) :args (@t61)) % 0.39/0.63 (step @p32 :rule cong :premises (@p31) :args (@t62)) % 0.39/0.63 (step @p33 :rule refl :args (@t63)) % 0.39/0.63 (step @p34 :rule cong 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true false true false false) (@list @t209 @t206 @t182 @t63 @t87 @t83 @t76 @t74 @t45 @t86 @t146 @t33 @t145 @t44 @t152 @t77 @t79 @t80 @t98 @t84 @t102 @t124))) % 0.35/0.63 (assume-push @p897 @t64) % 0.35/0.63 (step @p584 :rule instantiate :premises (@p897) :args (@t188)) % 0.35/0.63 (step-pop @p898 :rule scope :premises (@p584)) % 0.35/0.63 (step @p585 :rule process_scope :premises (@p898) :args (@t196)) % 0.35/0.63 (step @p587 :rule implies_elim :premises (@p585)) % 0.35/0.63 (step @p588 :rule cnf_equiv_neg1 :args (@t206)) % 0.35/0.63 (step @p589 :rule reordering :premises (@p588) :args ((or @t93 @t186 @t206))) % 0.35/0.63 (step @p590 :rule cnf_equiv_neg1 :args (@t209)) % 0.35/0.63 (step @p591 :rule reordering :premises (@p590) :args ((or @t93 @t166 @t209))) % 0.35/0.63 (step @p592 :rule chain_m_resolution :premises (@p91 @p400 @p96 @p349 @p167) :args ((or @t4 @t72 @t120 @t118 @t172) (@list false true true false) (@list @t16 @t93 @t42 @t64))) % 0.35/0.63 (step @p593 :rule 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@p549 @p544 @p578 @p497 @p595 @p482 @p360 @p603 @p373 @p135 @p387) :args ((or @t77 @t82 @t65 @t68 @t105 @t177 @t204) (@list false true false false true false false true false true true true true) (@list @t190 @t124 @t202 @t198 @t4 @t191 @t66 @t80 @t42 @t79 @t107 @t25 @t176))) % 0.35/0.63 (step @p605 :rule chain_m_resolution :premises (@p415 @p409 @p221 @p383 @p214 @p381 @p203 @p360 @p183 @p595 @p182 @p177 @p578) :args ((or @t77 @t82 @t65 @t68 @t125 @t106) (@list false true false true false false false false true false false true) (@list @t25 @t79 @t172 @t80 @t175 @t98 @t107 @t102 @t42 @t96 @t101 @t66))) % 0.35/0.63 (step @p606 :rule chain_m_resolution :premises (@p476 @p480 @p603 @p149 @p482 @p154 @p497 @p365 @p544 @p518 @p551 @p172) :args ((or @t77 @t82 @t65 @t68 @t124 @t106 @t203) (@list true false true false true false false true false true true) (@list @t110 @t25 @t112 @t79 @t107 @t80 @t42 @t191 @t66 @t198 @t4))) % 0.35/0.63 (step @p607 :rule chain_m_resolution :premises (@p603 @p482 @p476 @p497 @p480 @p549 @p149 @p553 @p154 @p606 @p365 @p527 @p518 @p605 @p604 @p399 @p385 @p574) :args ((or @t16 @t77 @t82 @t65 @t68 @t195 @t204) (@list false true false true true true true true true false true false true false false true true) (@list @t79 @t25 @t80 @t110 @t191 @t112 @t202 @t107 @t190 @t42 @t124 @t66 @t4 @t105 @t169 @t69 @t71))) % 0.35/0.63 (step @p608 :rule cnf_equiv_pos1 :args (@t211)) % 0.35/0.63 (step @p609 :rule reordering :premises (@p608) :args ((or @t164 @t145 (not @t211)))) % 0.35/0.63 (step @p610 :rule eq-symm :args (@t145 @t152)) % 0.35/0.63 (step @p611 :rule cong :premises (@p291 @p610) :args ((=> @t153 @t212))) % 0.35/0.63 (assume-push @p899 @t153) % 0.35/0.63 (step @p613 :rule instantiate :premises (@p899) :args (@t47)) % 0.35/0.63 (step-pop @p900 :rule scope :premises (@p613)) % 0.35/0.63 (step @p614 :rule process_scope :premises (@p900) :args (@t212)) % 0.35/0.63 (step @p616 :rule eq_resolve :premises (@p614 @p611)) % 0.35/0.63 (step @p617 :rule 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(step @p668 :rule chain_m_resolution :premises (@p667 @p665 @p663 @p661 @p653) :args ((or @t93 @t222 @t53) (@list true true false false) (@list @t52 @t48 @t221 @t220))) % 0.35/0.63 (step @p669 :rule refl :args (@t226)) % 0.35/0.63 (step @p670 :rule bool-double-not-elim :args (@t182)) % 0.35/0.63 (step @p671 :rule nary_cong :premises (@p670 @p669) :args ((or (not @t222) @t226))) % 0.35/0.63 (step @p672 :rule eq-symm :args (@t224 @t93)) % 0.35/0.63 (step @p673 :rule cong :premises (@p672) :args (@t227)) % 0.35/0.63 (step @p674 :rule refl :args (@t222)) % 0.35/0.63 (step @p675 :rule cong :premises (@p674 @p673) :args ((=> @t222 @t227))) % 0.35/0.63 (assume-push @p909 @t222) % 0.35/0.63 (step @p677 :rule skolemize :premises (@p909)) % 0.35/0.63 (step-pop @p910 :rule scope :premises (@p677)) % 0.35/0.63 (step @p678 :rule process_scope :premises (@p910) :args (@t227)) % 0.35/0.63 (step @p680 :rule eq_resolve :premises (@p678 @p675)) % 0.35/0.63 (step @p681 :rule implies_elim :premises 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@p122 @p507 @p149 @p509 @p154 @p349 @p400 @p409 @p415 @p712 @p497 @p554 @p527 @p518) :args ((or @t16 @t4 @t77 @t65 @t72 @t229 @t204) (@list true true false true false true true false true true true false true true false) (@list @t110 @t105 @t69 @t112 @t71 @t107 @t68 @t42 @t172 @t25 @t79 @t80 @t191 @t124 @t66))) % 0.35/0.63 (step @p719 :rule chain_m_resolution :premises (@p252 @p272 @p245 @p437 @p706 @p430 @p425 @p247 @p718 @p258 @p568 @p539 @p556 @p463 @p570 @p347 @p471 @p455 @p440) :args ((or @t33 @t16 @t4 @t84 @t72 @t87 @t229) (@list false false false false true true false false true false false true false true true false false true) (@list @t45 @t74 @t146 @t76 @t145 @t44 @t83 @t77 @t86 @t201 @t64 @t186 @t206 @t93 @t166 @t209 @t182 @t63))) % 0.35/0.63 (step @p720 :rule chain_m_resolution :premises (@p337 @p335 @p324 @p316 @p236 @p302 @p478 @p289 @p704 @p710 @p214 @p290 @p203 @p572 @p109 @p719 @p333) :args ((or @t33 @t16 @t4 @t72 @t87 @t180 @t229) (@list false false false false false 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chain_m_resolution :premises (@p161 @p167 @p574 @p96 @p117 @p91 @p738 @p184 @p203 @p214 @p154 @p704 @p149 @p122 @p478 @p691 @p135 @p471 @p463 @p455 @p440 @p737 @p730) :args ((or @t78 @t180 @t229) (@list true false true false false false true true true true false false true true false false false false false true true false) (@list @t66 @t68 @t64 @t71 @t93 @t16 @t4 @t102 @t98 @t42 @t80 @t107 @t69 @t79 @t112 @t105 @t209 @t206 @t182 @t63 @t87 @t72))) % 0.35/0.63 (step @p740 :rule chain_m_resolution :premises (@p383 @p387 @p381 @p373 @p399 @p360 @p597 @p349 @p580) :args ((or @t56 @t120 @t118 @t195 @t172) (@list false false false false false true true false) @t231)) % 0.35/0.63 (step @p741 :rule chain_m_resolution :premises (@p149 @p130 @p154 @p117 @p365 @p574 @p740 @p502 @p96 @p91) :args ((or @t56 @t125 @t195 @t172) (@list false true false false true true false true false) (@list @t112 @t107 @t69 @t42 @t71 @t68 @t66 @t64 @t93))) % 0.35/0.63 (step @p742 :rule chain_m_resolution :premises (@p130 @p149 @p507 @p154 @p580 @p161 @p732 @p578 @p539 @p556 @p570 @p347 @p741 @p527 @p554 @p497 @p712 @p223 @p409 @p739 @p568 @p572 @p290 @p710 @p515 @p252 @p272 @p435 @p736 @p420 @p471 @p463 @p455 @p440 @p737 @p730) :args ((or @t78 @t229) (@list true false true false false false true false true true true true false false false true false true true false true true false false true false true false true false false false true true false) (@list @t112 @t69 @t107 @t71 @t42 @t68 @t66 @t64 @t186 @t93 @t166 @t16 @t4 @t124 @t191 @t80 @t79 @t172 @t25 @t201 @t84 @t86 @t83 @t76 @t74 @t45 @t33 @t146 @t152 @t209 @t206 @t182 @t63 @t87 @t72))) % 0.35/0.63 (step @p743 :rule chain_m_resolution :premises (@p337 @p335 @p324 @p316 @p302 @p642 @p706 @p247 @p258 @p333 @p737 @p730 @p236 @p742) :args ((or @t33 @t84 @t229) (@list false false false false true false false true true true false false true) (@list @t152 @t163 @t162 @t153 @t74 @t76 @t83 @t86 @t159 @t87 @t72 @t135 @t77))) % 0.35/0.63 (step @p744 :rule chain_m_resolution :premises (@p515 @p710 @p252 @p290 @p272 @p308 @p696 @p743 @p737 @p730) :args ((or @t84 @t229) (@list true true true false false false false true false) (@list @t76 @t74 @t83 @t45 @t86 @t146 @t33 @t87 @t72))) % 0.35/0.63 (step @p745 :rule chain_m_resolution :premises (@p161 @p167 @p574 @p96 @p117 @p91 @p738 @p154 @p149 @p122 @p691 @p135 @p603 @p704 @p214 @p203 @p182 @p109 @p101 @p744 @p742 @p471 @p463 @p455 @p440 @p737 @p730) :args (@t229 (@list true false true false false false true false true false false false false true false true false true false true false false false true true false) (@list @t66 @t68 @t64 @t71 @t93 @t16 @t42 @t107 @t69 @t112 @t105 @t25 @t79 @t80 @t98 @t4 @t102 @t96 @t84 @t77 @t209 @t206 @t182 @t63 @t87 @t72))) % 0.35/0.63 (step @p746 :rule chain_m_resolution :premises (@p236 @p223 @p335 @p691 @p337 @p149 @p324 @p316 @p154 @p302 @p333 @p221 @p745 @p161 @p642 @p640 @p214 @p167 @p287 @p745 @p247 @p203 @p182 @p638 @p745 @p109 @p101) :args ((or @t85 @t64 @t87 @t118 @t195) (@list true true true true true false false true false true true true false true true true true false true false false true true true false true) (@list @t77 @t135 @t25 @t152 @t112 @t163 @t162 @t107 @t153 @t159 @t79 @t82 @t42 @t74 @t33 @t80 @t66 @t76 @t82 @t86 @t98 @t4 @t83 @t82 @t102 @t96))) % 0.35/0.63 (step @p747 :rule chain_m_resolution :premises (@p238 @p745 @p515 @p247 @p252 @p258 @p272 @p435 @p736 @p420) :args ((or @t84 @t78 @t87 @t195) (@list true false false true true false true false true) (@list @t82 @t76 @t83 @t74 @t86 @t45 @t33 @t146 @t152))) % 0.35/0.63 (step @p748 :rule chain_m_resolution :premises (@p691 @p603 @p149 @p482 @p745 @p154 @p497 @p161 @p554 @p167 @p527) :args ((or @t4 @t77 @t64 @t118 @t204) (@list false true false true true false false true true true) (@list @t25 @t112 @t79 @t82 @t107 @t80 @t42 @t191 @t66 @t124))) % 0.35/0.63 (step @p749 :rule chain_m_resolution :premises (@p221 @p745 @p415 @p214 @p409 @p203 @p741 @p184 @p748 @p747 @p568 @p746 @p86 @p40 @p29 @p15 @p96 @p91) :args ((or @t56 @t118 @t195) (@list true false true false false false false false true false true true true false false true false) (@list @t82 @t79 @t80 @t25 @t98 @t172 @t102 @t4 @t77 @t201 @t84 @t87 @t63 @t49 @t53 @t64 @t93))) % 0.35/0.63 (assume-push @p913 @t69) % 0.35/0.63 (step @p751 :rule instantiate :premises (@p913) :args (@t174)) % 0.35/0.63 (step-pop @p914 :rule scope :premises (@p751)) % 0.35/0.63 (step @p752 :rule process_scope :premises (@p914) :args (@t179)) % 0.35/0.63 (step @p754 :rule implies_elim :premises (@p752)) % 0.35/0.63 (step @p755 :rule chain_m_resolution :premises (@p337 @p335 @p324 @p316 @p302 @p333 @p642 @p640 @p287 @p745 @p247 @p638 @p745 @p568 @p554 @p497 @p482 @p745 @p603 @p236) :args ((or @t25 @t77 @t87 @t195 @t124) (@list false false false false true true true false true false true true false true false true true true false) (@list @t152 @t163 @t162 @t153 @t159 @t74 @t33 @t76 @t82 @t86 @t83 @t82 @t84 @t201 @t191 @t80 @t82 @t79 @t135))) % 0.35/0.63 (step @p756 :rule chain_m_resolution :premises (@p203 @p214 @p109 @p221 @p745 @p747 @p223 @p755 @p527 @p741 @p135 @p754 @p122 @p117 @p574 @p749 @p86 @p40 @p29 @p15) :args ((or @t56 @t195) (@list true false false true false false false true true true true true false true true true true false false) (@list @t98 @t102 @t80 @t82 @t84 @t79 @t77 @t124 @t4 @t25 @t172 @t105 @t69 @t71 @t68 @t87 @t63 @t49 @t53))) % 0.35/0.63 (step @p757 :rule chain_m_resolution :premises (@p221 @p745 @p223 @p214 @p581 @p745 @p203 @p471 @p463 @p109 @p455 @p747 @p440) :args ((or @t78 @t87 @t195) (@list true false true true true false false false false false false true) (@list @t82 @t79 @t80 @t25 @t82 @t98 @t209 @t206 @t102 @t182 @t84 @t63))) % 0.35/0.63 (step @p758 :rule chain_m_resolution :premises (@p149 @p130 @p154 @p507 @p161 @p580 @p732 @p167 @p184 @p203 @p214 @p221 @p745 @p223 @p409 @p708 @p29 @p40 @p86 @p757 @p756) :args ((or @t25 @t78 @t195) (@list false true false false false false true true true true false true false true true true true false false true) (@list @t112 @t107 @t69 @t42 @t71 @t68 @t66 @t4 @t102 @t98 @t80 @t82 @t79 @t172 @t64 @t53 @t49 @t63 @t87 @t16))) % 0.35/0.63 (step @p759 :rule chain_m_resolution :premises (@p527 @p502 @p554 @p365 @p580 @p497 @p154 @p507 @p482 @p745 @p149 @p122 @p478 @p691 @p135 @p758 @p708 @p568 @p29 @p572 @p40 @p695 @p86 @p757 @p238 @p745 @p515 @p252 @p272 @p435 @p736 @p420 @p756) :args ((or @t78 @t195) (@list true false true true false true true true true false true true false false false true false true true true true false false true true false true false true false true true) (@list @t4 @t124 @t66 @t68 @t191 @t42 @t71 @t80 @t82 @t107 @t69 @t79 @t112 @t105 @t25 @t64 @t201 @t53 @t84 @t49 @t86 @t63 @t87 @t83 @t82 @t76 @t74 @t45 @t33 @t146 @t152 @t16))) % 0.35/0.63 (step @p760 :rule chain_m_resolution :premises (@p337 @p335 @p324 @p316 @p302 @p642 @p287 @p745 @p439 @p258 @p333 @p236 @p759) :args ((or @t33 @t84 @t195 @t88) (@list false false false false true false true true true true false true) (@list @t152 @t163 @t162 @t153 @t74 @t76 @t82 @t83 @t86 @t159 @t135 @t77))) % 0.35/0.63 (step @p761 :rule chain_m_resolution :premises (@p515 @p238 @p745 @p252 @p695 @p272 @p308 @p696 @p760) :args ((or @t84 @t195 @t88) (@list true true true false false false false false) (@list @t76 @t82 @t74 @t83 @t45 @t86 @t146 @t33))) % 0.35/0.63 (step @p762 :rule chain_m_resolution :premises (@p738 @p471 @p463 @p455 @p440 @p761 @p184 @p109 @p203 @p214 @p154 @p221 @p745 @p149 @p122 @p415 @p691 @p135 @p759 @p756) :args ((or @t180 @t195) (@list false false false true true true true true true true false true false true false false false true true) (@list @t209 @t206 @t182 @t63 @t87 @t4 @t84 @t102 @t98 @t42 @t80 @t82 @t107 @t69 @t79 @t112 @t105 @t77 @t16))) % 0.35/0.63 (assume-push @p915 @t4) % 0.35/0.63 (step @p764 :rule instantiate :premises (@p915) :args (@t200)) % 0.35/0.63 (step-pop @p916 :rule scope :premises (@p764)) % 0.35/0.63 (step @p765 :rule process_scope :premises (@p916) :args (@t201)) % 0.35/0.63 (step @p767 :rule implies_elim :premises (@p765)) % 0.35/0.63 (step @p768 :rule chain_m_resolution :premises (@p149 @p130 @p154 @p507 @p161 @p580 @p607 @p745 @p578 @p539 @p556 @p570 @p767 @p471 @p463 @p527 @p455 @p755 @p440 @p762 @p347 @p759 @p756) :args ((or @t87 @t195) (@list false true false false false false true true false true true false false false false false false true true true true true) (@list @t112 @t107 @t69 @t42 @t71 @t68 @t82 @t66 @t64 @t186 @t93 @t201 @t209 @t206 @t4 @t182 @t124 @t63 @t25 @t166 @t77 @t16))) % 0.35/0.63 (step @p769 :rule chain_m_resolution :premises (@p149 @p130 @p154 @p507 @p161 @p580 @p732 @p167 @p708 @p182 @p29 @p101 @p40 @p761 @p86 @p768 @p409 @p762 @p756) :args (@t195 (@list false true false false false false true true true true true true false false false true true true) (@list @t112 @t107 @t69 @t42 @t71 @t68 @t66 @t64 @t4 @t53 @t96 @t49 @t84 @t63 @t87 @t172 @t25 @t16))) % 0.35/0.63 (step @p770 :rule chain_m_resolution :premises (@p721 @p769) :args (@t118 @t230 (@list @t72))) % 0.35/0.63 (step @p771 :rule chain_m_resolution :premises (@p509 @p770 @p769) :args (@t71 @t103 (@list @t68 @t72))) % 0.35/0.63 (step @p772 :rule chain_m_resolution :premises (@p245 @p769 @p287 @p745 @p252 @p439 @p272 @p640 @p696) :args ((or @t85 @t156 @t88) (@list true false true true true false true false) (@list @t72 @t76 @t82 @t74 @t83 @t45 @t86 @t146))) % 0.35/0.63 (step @p773 :rule chain_m_resolution :premises (@p337 @p335 @p324 @p316 @p302 @p289 @p769 @p238 @p745 @p695 @p572 @p333 @p772 @p236 @p223 @p221 @p745 @p214 @p203 @p109 @p135 @p122 @p507 @p509 @p721 @p769 @p15 @p29 @p40 @p86) :args ((or @t85 @t88) (@list false false false false true true true true false false true true false true true true true false false true true false false true true true true true false) (@list @t152 @t163 @t162 @t153 @t74 @t72 @t76 @t82 @t83 @t86 @t159 @t33 @t135 @t77 @t79 @t82 @t80 @t98 @t102 @t25 @t105 @t69 @t71 @t68 @t72 @t16 @t53 @t49 @t63))) % 0.35/0.63 (step @p774 :rule chain_m_resolution :premises (@p287 @p745 @p245 @p769 @p439 @p252 @p258 @p272 @p435 @p736 @p420 @p603 @p482 @p745 @p497 @p554 @p568 @p773 @p527 @p502 @p365 @p770 @p154 @p149 @p135 @p130 @p122 @p507 @p771 @p15 @p708 @p29 @p40 @p86) :args (@t88 (@list true true true true true true false true false true false false true false true false true true true true true true false true false true false false true true true true false) (@list @t82 @t76 @t72 @t83 @t74 @t86 @t45 @t33 @t146 @t152 @t77 @t79 @t82 @t80 @t191 @t201 @t84 @t124 @t4 @t66 @t68 @t42 @t107 @t25 @t112 @t105 @t69 @t71 @t16 @t64 @t53 @t49 @t63))) % 0.35/0.63 (step @p775 :rule chain_m_resolution :premises (@p440 @p774) :args (@t89 @t230 (@list @t87))) % 0.35/0.63 (step @p776 :rule chain_m_resolution :premises (@p455 @p775) :args (@t182 @t230 (@list @t63))) % 0.35/0.63 (step @p777 :rule chain_m_resolution :premises (@p471 @p776) :args (@t209 @t232 @t233)) % 0.35/0.63 (step @p778 :rule chain_m_resolution :premises (@p463 @p776) :args (@t206 @t232 @t233)) % 0.35/0.63 (step @p779 :rule chain_m_resolution :premises (@p365 @p770 @p518 @p154 @p539 @p149 @p556 @p778 @p130 @p570 @p777 @p507 @p771 @p347 @p723 @p770 @p771 @p184 @p203 @p214 @p221 @p745 @p223 @p409 @p581 @p745 @p774 @p778 @p777) :args (@t78 (@list true false true false false true false false true false false false true true true false true true true false true false true true true true false false) (@list @t68 @t66 @t42 @t64 @t107 @t186 @t206 @t112 @t93 @t209 @t69 @t71 @t166 @t16 @t68 @t71 @t4 @t102 @t98 @t80 @t82 @t79 @t172 @t25 @t82 @t87 @t206 @t209))) % 0.35/0.63 (step @p780 :rule chain_m_resolution :premises (@p236 @p779) :args (@t135 @t230 (@list @t77))) % 0.35/0.63 (step @p781 :rule chain_m_resolution :premises (@p337 @p335 @p780 @p333 @p324 @p316 @p308 @p302 @p290 @p774 @p289 @p769 @p287 @p745 @p285 @p745 @p769 @p774) :args (@t84 (@list false false true false false true false true true true true false true true true true true) (@list @t152 @t135 @t159 @t163 @t162 @t33 @t153 @t86 @t87 @t74 @t72 @t83 @t82 @t76 @t82 @t72 @t87))) % 0.35/0.63 (step @p782 :rule chain_m_resolution :premises (@p109 @p781) :args (@t102 @t232 @t234)) % 0.35/0.63 (step @p783 :rule chain_m_resolution :premises (@p203 @p782) :args (@t98 @t232 (@list @t102))) % 0.35/0.63 (step @p784 :rule chain_m_resolution :premises (@p214 @p783) :args (@t81 @t232 (@list @t98))) % 0.35/0.63 (step @p785 :rule chain_m_resolution :premises (@p221 @p784 @p745) :args (@t132 @t103 (@list @t80 @t82))) % 0.35/0.63 (step @p786 :rule chain_m_resolution :premises (@p415 @p779 @p785) :args (@t180 @t103 (@list @t77 @t79))) % 0.35/0.63 (step @p787 :rule chain_m_resolution :premises (@p409 @p786) :args (@t179 @t230 (@list @t25))) % 0.35/0.63 (step @p788 :rule chain_m_resolution :premises (@p101 @p781) :args (@t97 @t232 @t234)) % 0.35/0.63 (step @p789 :rule chain_m_resolution :premises (@p182 @p788) :args (@t125 @t230 (@list @t96))) % 0.35/0.63 (step @p790 :rule chain_m_resolution :premises (@p723 @p789 @p770 @p771 @p787) :args (@t56 (@list true true false true) (@list @t4 @t68 @t71 @t172))) % 0.35/0.63 (step @p791 :rule chain_m_resolution :premises (@p507 @p790 @p771) :args (@t69 @t235 (@list @t16 @t71))) % 0.35/0.63 (step @p792 :rule chain_m_resolution :premises (@p130 @p791) :args (@t112 @t232 (@list @t69))) % 0.35/0.63 (step @p793 :rule chain_m_resolution :premises (@p149 @p792) :args (@t107 @t232 (@list @t112))) % 0.35/0.63 (step @p794 :rule chain_m_resolution :premises (@p154 @p793) :args (@t67 @t232 (@list @t107))) % 0.35/0.63 (step @p795 :rule chain_m_resolution :premises (@p347 @p790) :args (@t167 @t230 (@list @t16))) % 0.35/0.63 (step @p796 :rule chain_m_resolution :premises (@p570 @p795 @p777) :args (@t94 @t235 (@list @t166 @t209))) % 0.35/0.63 (step @p797 :rule chain_m_resolution :premises (@p556 @p796 @p778) :args (@t196 @t235 (@list @t93 @t206))) % 0.35/0.63 (step @p798 :rule chain_m_resolution :premises (@p539 @p797) :args (@t64 @t230 (@list @t186))) % 0.35/0.63 (step @p799 :rule chain_m_resolution :premises (@p518 @p789 @p798) :args (@t66 @t235 (@list @t4 @t64))) % 0.35/0.63 (step @p800 false :rule chain_m_resolution :premises (@p365 @p799 @p794 @p770) :args (false (@list false true true) (@list @t66 @t42 @t68))) % 0.35/0.63 ) % 0.35/0.63 % SZS output end Proof % 0.35/0.63 % cvc5 exiting %------------------------------------------------------------------------------