%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU197+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:50:55 AM UTC 2026 % Result : Theorem 166.06s 166.23s % Output : Proof 166.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU197+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:37:22 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 166.06/166.23 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 166.06/166.23 --- Run --no-e-matching --full-saturate-quant at 6... % 166.06/166.23 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 166.06/166.23 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 166.06/166.23 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 166.06/166.23 --- Run --trigger-sel=max --full-saturate-quant at 15... % 166.06/166.23 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 166.06/166.23 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 166.06/166.23 --- Run --prenex-quant=none --full-saturate-quant at 30... % 166.06/166.23 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 166.06/166.23 % SZS status Theorem % 166.06/166.23 % SZS output start Proof % 166.06/166.23 ( % 166.06/166.23 (declare-sort $$unsorted 0) % 166.06/166.23 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 166.06/166.23 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 166.06/166.23 (declare-const tptp.empty_set $$unsorted) % 166.06/166.23 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 166.06/166.23 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 166.06/166.23 (declare-const tptp.empty (-> $$unsorted Bool)) % 166.06/166.23 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 166.06/166.23 (declare-const tptp.relation (-> $$unsorted Bool)) % 166.06/166.23 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 166.06/166.23 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 166.06/166.23 (define @t1 () (@var "A" $$unsorted)) % 166.06/166.23 (define @t2 () (@var "B" $$unsorted)) % 166.06/166.23 (define @t3 () (tptp.in @t1 @t2)) % 166.06/166.23 (define @t4 () (@list @t1 @t2)) % 166.06/166.23 (define @t5 () (tptp.relation @t1)) % 166.06/166.23 (define @t6 () (tptp.empty @t1)) % 166.06/166.23 (define @t7 () (@list @t1)) % 166.06/166.23 (define @t8 () (tptp.unordered_pair @t1 @t2)) % 166.06/166.23 (define @t9 () (@var "E" $$unsorted)) % 166.06/166.23 (define @t10 () (@var "D" $$unsorted)) % 166.06/166.23 (define @t11 () (tptp.ordered_pair @t10 @t9)) % 166.06/166.23 (define @t12 () (and (tptp.in @t9 @t1) (tptp.in @t11 @t2))) % 166.06/166.23 (define @t13 () (@var "C" $$unsorted)) % 166.06/166.23 (define @t14 () (@list @t10 @t9)) % 166.06/166.23 (define @t15 () (tptp.relation_rng_restriction @t1 @t2)) % 166.06/166.23 (define @t16 () (= (= @t13 @t15) (forall @t14 (= (tptp.in @t11 @t13) @t12)))) % 166.06/166.23 (define @t17 () (tptp.relation @t13)) % 166.06/166.23 (define @t18 () (@list @t13)) % 166.06/166.23 (define @t19 () (forall @t18 (=> @t17 @t16))) % 166.06/166.23 (define @t20 () (tptp.relation @t2)) % 166.06/166.23 (define @t21 () (=> @t20 @t19)) % 166.06/166.23 (define @t22 () (forall @t4 @t21)) % 166.06/166.23 (define @t23 () (tptp.ordered_pair @t10 @t13)) % 166.06/166.23 (define @t24 () (tptp.in @t23 @t1)) % 166.06/166.23 (define @t25 () (@list @t10)) % 166.06/166.23 (define @t26 () (exists @t25 @t24)) % 166.06/166.23 (define @t27 () (tptp.in @t13 @t2)) % 166.06/166.23 (define @t28 () (= @t27 @t26)) % 166.06/166.23 (define @t29 () (forall @t18 @t28)) % 166.06/166.23 (define @t30 () (tptp.relation_rng @t1)) % 166.06/166.23 (define @t31 () (= @t2 @t30)) % 166.06/166.23 (define @t32 () (= @t31 @t29)) % 166.06/166.23 (define @t33 () (@list @t2)) % 166.06/166.23 (define @t34 () (forall @t33 @t32)) % 166.06/166.23 (define @t35 () (=> @t5 @t34)) % 166.06/166.23 (define @t36 () (forall @t7 @t35)) % 166.06/166.23 (define @t37 () (tptp.singleton @t1)) % 166.06/166.23 (define @t38 () (tptp.ordered_pair @t1 @t2)) % 166.06/166.23 (define @t39 () (tptp.relation @t15)) % 166.06/166.23 (define @t40 () (forall @t4 (=> @t20 @t39))) % 166.06/166.23 (define @t41 () (tptp.empty tptp.empty_set)) % 166.06/166.23 (define @t42 () (tptp.empty @t30)) % 166.06/166.23 (define @t43 () (not @t6)) % 166.06/166.23 (define @t44 () (and @t43 @t5)) % 166.06/166.23 (define @t45 () (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t13))) (and @t3 (tptp.in @t1 (tptp.relation_rng @t13))))) % 166.06/166.23 (define @t46 () (@list @t1 @t2 @t13)) % 166.06/166.23 (define @t47 () (forall @t46 (=> @t17 @t45))) % 166.06/166.23 (define @t48 () (not @t47)) % 166.06/166.23 (define @t49 () (tptp.element @t1 @t2)) % 166.06/166.23 (define @t50 () (tptp.empty @t2)) % 166.06/166.23 (define @t51 () (@var "BOUND_VARIABLE_7588" $$unsorted)) % 166.06/166.23 (define @t52 () (tptp.in @t13 @t51)) % 166.06/166.23 (define @t53 () (not (forall @t25 (not @t24)))) % 166.06/166.23 (define @t54 () (forall @t18 (= @t52 @t53))) % 166.06/166.23 (define @t55 () (= (= @t51 @t30) @t54)) % 166.06/166.23 (define @t56 () (not @t5)) % 166.06/166.23 (define @t57 () (or @t56 @t55)) % 166.06/166.23 (define @t58 () (@list @t1 @t51)) % 166.06/166.23 (define @t59 () (forall @t58 @t57)) % 166.06/166.23 (define @t60 () (@list @t51)) % 166.06/166.23 (define @t61 () (forall @t60 @t57)) % 166.06/166.23 (define @t62 () (forall @t60 @t55)) % 166.06/166.23 (define @t63 () (or @t56 @t62)) % 166.06/166.23 (define @t64 () (forall @t33 (= @t31 (forall @t18 (= @t27 @t53))))) % 166.06/166.23 (define @t65 () (not @t17)) % 166.06/166.23 (define @t66 () (forall @t46 (or @t65 @t45))) % 166.06/166.23 (define @t67 () (@quantifiers_skolemize @t66 2)) % 166.06/166.23 (define @t68 () (tptp.relation_rng @t67)) % 166.06/166.23 (define @t69 () (forall @t18 (= (not (forall @t25 (not (tptp.in @t23 @t67)))) (tptp.in @t13 @t68)))) % 166.06/166.23 (define @t70 () (= (= @t68 @t68) @t69)) % 166.06/166.23 (define @t71 () (tptp.relation @t67)) % 166.06/166.23 (define @t72 () (not @t71)) % 166.06/166.23 (define @t73 () (or @t72 @t70)) % 166.06/166.23 (define @t74 () (forall @t58 (or @t56 (= (= @t30 @t51) (forall @t18 (= @t53 @t52)))))) % 166.06/166.23 (define @t75 () (or @t72 @t69)) % 166.06/166.23 (define @t76 () (@list false)) % 166.06/166.23 (define @t77 () (@quantifiers_skolemize @t66 0)) % 166.06/166.23 (define @t78 () (tptp.in @t77 @t68)) % 166.06/166.23 (define @t79 () (@quantifiers_skolemize @t66 1)) % 166.06/166.23 (define @t80 () (tptp.in @t77 @t79)) % 166.06/166.23 (define @t81 () (and @t80 @t78)) % 166.06/166.23 (define @t82 () (tptp.relation_rng_restriction @t79 @t67)) % 166.06/166.23 (define @t83 () (tptp.relation_rng @t82)) % 166.06/166.23 (define @t84 () (tptp.in @t77 @t83)) % 166.06/166.23 (define @t85 () (= @t84 @t81)) % 166.06/166.23 (define @t86 () (or @t72 @t85)) % 166.06/166.23 (define @t87 () (@list true)) % 166.06/166.23 (define @t88 () (@list @t86)) % 166.06/166.23 (define @t89 () (@list false false)) % 166.06/166.23 (define @t90 () (tptp.ordered_pair @t10 @t77)) % 166.06/166.23 (define @t91 () (forall @t25 (not (tptp.in @t90 @t67)))) % 166.06/166.23 (define @t92 () (not @t91)) % 166.06/166.23 (define @t93 () (= @t92 @t78)) % 166.06/166.23 (define @t94 () (@list @t77)) % 166.06/166.23 (define @t95 () (= @t78 @t92)) % 166.06/166.23 (define @t96 () (tptp.relation_rng_restriction @t79 @t82)) % 166.06/166.23 (define @t97 () (tptp.relation_rng @t96)) % 166.06/166.23 (define @t98 () (tptp.relation @t82)) % 166.06/166.23 (define @t99 () (or @t72 @t98)) % 166.06/166.23 (define @t100 () (forall @t18 (= (not (forall @t25 (not (tptp.in @t23 @t82)))) (tptp.in @t13 @t97)))) % 166.06/166.23 (define @t101 () (= @t83 @t97)) % 166.06/166.23 (define @t102 () (= @t101 @t100)) % 166.06/166.23 (define @t103 () (not @t98)) % 166.06/166.23 (define @t104 () (or @t103 @t102)) % 166.06/166.23 (define @t105 () (@var "BOUND_VARIABLE_7555" $$unsorted)) % 166.06/166.23 (define @t106 () (tptp.in @t11 @t105)) % 166.06/166.23 (define @t107 () (forall @t14 (= @t106 @t12))) % 166.06/166.23 (define @t108 () (= (= @t105 @t15) @t107)) % 166.06/166.23 (define @t109 () (not (tptp.relation @t105))) % 166.06/166.23 (define @t110 () (not @t20)) % 166.06/166.23 (define @t111 () (or @t110 @t109 @t108)) % 166.06/166.23 (define @t112 () (or @t109 @t108)) % 166.06/166.23 (define @t113 () (or @t110 @t112)) % 166.06/166.23 (define @t114 () (@list @t1 @t2 @t105)) % 166.06/166.23 (define @t115 () (forall @t114 @t113)) % 166.06/166.23 (define @t116 () (@list @t105)) % 166.06/166.23 (define @t117 () (forall @t116 @t113)) % 166.06/166.23 (define @t118 () (forall @t116 @t112)) % 166.06/166.23 (define @t119 () (or @t110 @t118)) % 166.06/166.23 (define @t120 () (forall @t18 (or @t65 @t16))) % 166.06/166.23 (define @t121 () (tptp.in @t11 @t82)) % 166.06/166.23 (define @t122 () (tptp.in @t9 @t79)) % 166.06/166.23 (define @t123 () (and @t122 @t121)) % 166.06/166.23 (define @t124 () (forall @t14 (= @t123 @t121))) % 166.06/166.23 (define @t125 () (= (= @t96 @t82) @t124)) % 166.06/166.23 (define @t126 () (or @t103 @t103 @t125)) % 166.06/166.23 (define @t127 () (forall @t114 (or @t110 @t109 (= (= @t15 @t105) (forall @t14 (= @t12 @t106)))))) % 166.06/166.23 (define @t128 () (forall @t14 (= @t121 @t123))) % 166.06/166.23 (define @t129 () (= @t82 @t96)) % 166.06/166.23 (define @t130 () (= @t129 @t128)) % 166.06/166.23 (define @t131 () (or @t103 @t103 @t130)) % 166.06/166.23 (define @t132 () (@list @t127)) % 166.06/166.23 (define @t133 () (@quantifiers_skolemize @t128 1)) % 166.06/166.23 (define @t134 () (@quantifiers_skolemize @t128 0)) % 166.06/166.23 (define @t135 () (tptp.ordered_pair @t134 @t133)) % 166.06/166.23 (define @t136 () (tptp.in @t135 @t82)) % 166.06/166.23 (define @t137 () (tptp.in @t133 @t79)) % 166.06/166.23 (define @t138 () (and @t137 @t136)) % 166.06/166.23 (define @t139 () (= @t136 @t138)) % 166.06/166.23 (define @t140 () (forall @t14 (= (and @t122 (tptp.in @t11 @t67)) @t121))) % 166.06/166.23 (define @t141 () (= (= @t82 @t82) @t140)) % 166.06/166.23 (define @t142 () (or @t72 @t103 @t141)) % 166.06/166.23 (define @t143 () (or @t72 @t103 @t140)) % 166.06/166.23 (define @t144 () (@list false false false)) % 166.06/166.23 (define @t145 () (and @t137 (tptp.in @t135 @t67))) % 166.06/166.23 (define @t146 () (= @t145 @t136)) % 166.06/166.23 (define @t147 () (= @t136 @t145)) % 166.06/166.23 (define @t148 () (@list @t140)) % 166.06/166.23 (define @t149 () (not @t136)) % 166.06/166.23 (define @t150 () (not @t139)) % 166.06/166.23 (define @t151 () (not @t128)) % 166.06/166.23 (define @t152 () (tptp.in @t77 @t97)) % 166.06/166.23 (define @t153 () (forall @t25 (not (tptp.in @t90 @t82)))) % 166.06/166.23 (define @t154 () (not @t153)) % 166.06/166.23 (define @t155 () (= @t154 @t152)) % 166.06/166.23 (define @t156 () (@quantifiers_skolemize @t153 0)) % 166.06/166.23 (define @t157 () (tptp.ordered_pair @t156 @t77)) % 166.06/166.23 (define @t158 () (tptp.in @t157 @t67)) % 166.06/166.23 (define @t159 () (and @t80 @t158)) % 166.06/166.23 (define @t160 () (tptp.in @t157 @t82)) % 166.06/166.23 (define @t161 () (= @t159 @t160)) % 166.06/166.23 (define @t162 () (= @t160 @t159)) % 166.06/166.23 (define @t163 () (not @t159)) % 166.06/166.23 (define @t164 () (not @t95)) % 166.06/166.23 (define @t165 () (not @t92)) % 166.06/166.23 (define @t166 () (@quantifiers_skolemize @t91 0)) % 166.06/166.23 (define @t167 () (tptp.ordered_pair @t166 @t77)) % 166.06/166.23 (define @t168 () (tptp.in @t167 @t67)) % 166.06/166.23 (define @t169 () (not @t168)) % 166.06/166.23 (define @t170 () (not @t169)) % 166.06/166.23 (define @t171 () (and @t80 @t168)) % 166.06/166.23 (define @t172 () (not @t80)) % 166.06/166.23 (define @t173 () (tptp.in @t167 @t82)) % 166.06/166.23 (define @t174 () (= @t171 @t173)) % 166.06/166.23 (define @t175 () (= @t173 @t171)) % 166.06/166.23 (define @t176 () (not @t155)) % 166.06/166.23 (define @t177 () (not @t154)) % 166.06/166.23 (define @t178 () (not @t152)) % 166.06/166.23 (define @t179 () (not @t129)) % 166.06/166.23 (define @t180 () (not @t84)) % 166.06/166.23 (define @t181 () (and @t180 @t129)) % 166.06/166.23 (define @t182 () (not @t160)) % 166.06/166.23 (define @t183 () (not @t182)) % 166.06/166.23 (define @t184 () (and @t129 @t178)) % 166.06/166.23 (define @t185 () (not @t81)) % 166.06/166.23 (define @t186 () (@list @t81)) % 166.06/166.23 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 166.06/166.23 (assume @p2 (forall @t7 (=> @t6 @t5))) % 166.06/166.23 (assume @p3 (forall @t4 (= @t8 (tptp.unordered_pair @t2 @t1)))) % 166.06/166.23 (assume @p4 @t22) % 166.06/166.23 (assume @p5 @t36) % 166.06/166.23 (assume @p6 (forall @t4 (= @t38 (tptp.unordered_pair @t8 @t37)))) % 166.06/166.23 (assume @p7 true) % 166.06/166.23 (assume @p8 @t40) % 166.06/166.23 (assume @p9 (forall @t7 (exists @t33 (tptp.element @t2 @t1)))) % 166.06/166.23 (assume @p10 @t41) % 166.06/166.23 (assume @p11 (forall @t4 (not (tptp.empty @t38)))) % 166.06/166.23 (assume @p12 (forall @t7 (not (tptp.empty @t37)))) % 166.06/166.23 (assume @p13 (forall @t4 (not (tptp.empty @t8)))) % 166.06/166.23 (assume @p14 (and @t41 (tptp.relation tptp.empty_set))) % 166.06/166.23 (assume @p15 (forall @t7 (=> @t44 (not @t42)))) % 166.06/166.23 (assume @p16 (forall @t7 (=> @t6 (and @t42 (tptp.relation @t30))))) % 166.06/166.23 (assume @p17 (exists @t7 (and @t6 @t5))) % 166.06/166.23 (assume @p18 (exists @t7 @t6)) % 166.06/166.23 (assume @p19 (exists @t7 @t44)) % 166.06/166.23 (assume @p20 (exists @t7 @t43)) % 166.06/166.23 (assume @p21 @t48) % 166.06/166.23 (assume @p22 (forall @t4 (=> @t3 @t49))) % 166.06/166.23 (assume @p23 (forall @t4 (=> @t49 (or @t50 @t3)))) % 166.06/166.23 (assume @p24 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 166.06/166.23 (assume @p25 (forall @t4 (not (and @t3 @t50)))) % 166.06/166.23 (assume @p26 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t50)))) % 166.06/166.23 (step @p27 :rule eq-symm :args (@t52 @t53)) % 166.06/166.23 (step @p28 :rule cong :premises (@p27) :args (@t54)) % 166.06/166.23 (step @p29 :rule eq-symm :args (@t51 @t30)) % 166.06/166.23 (step @p30 :rule cong :premises (@p29 @p28) :args (@t55)) % 166.06/166.23 (step @p31 :rule refl :args (@t56)) % 166.06/166.23 (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t57)) % 166.06/166.23 (step @p33 :rule cong :premises (@p32) :args (@t59)) % 166.06/166.23 (step @p34 :rule quant-merge-prenex :args ((= (forall @t7 @t61) @t59))) % 166.06/166.23 (step @p35 :rule alpha_equiv :args (@t62 (@list @t51) (@list @t2))) % 166.06/166.23 (step @p36 :rule refl :args (@t56)) % 166.06/166.23 (step @p37 :rule nary_cong :premises (@p36 @p35) :args (@t63)) % 166.06/166.23 (step @p38 :rule quant-miniscope-or :args ((= @t61 @t63))) % 166.06/166.23 (step @p39 :rule trans :premises (@p38 @p37)) % 166.06/166.23 (step @p40 :rule symm :premises (@p39)) % 166.06/166.23 (step @p41 :rule cong :premises (@p40) :args ((forall @t7 (or @t56 @t64)))) % 166.06/166.23 (step @p42 :rule trans :premises (@p41 @p34)) % 166.06/166.23 (step @p43 :rule trans :premises (@p42 @p33)) % 166.06/166.23 (step @p44 :rule bool-impl-elim :args (@t5 @t64)) % 166.06/166.23 (step @p45 :rule cong :premises (@p44) :args ((forall @t7 (=> @t5 @t64)))) % 166.06/166.23 (step @p46 :rule trans :premises (@p45 @p43)) % 166.06/166.23 (step @p47 :rule exists-elim :args ((= @t26 @t53))) % 166.06/166.23 (step @p48 :rule refl :args (@t27)) % 166.06/166.23 (step @p49 :rule cong :premises (@p48 @p47) :args (@t28)) % 166.06/166.23 (step @p50 :rule cong :premises (@p49) :args (@t29)) % 166.06/166.23 (step @p51 :rule refl :args (@t31)) % 166.06/166.23 (step @p52 :rule cong :premises (@p51 @p50) :args (@t32)) % 166.06/166.23 (step @p53 :rule cong :premises (@p52) :args (@t34)) % 166.06/166.23 (step @p54 :rule refl :args (@t5)) % 166.06/166.23 (step @p55 :rule cong :premises (@p54 @p53) :args (@t35)) % 166.06/166.23 (step @p56 :rule cong :premises (@p55) :args (@t36)) % 166.06/166.23 (step @p57 :rule trans :premises (@p56 @p46)) % 166.06/166.23 (step @p58 :rule eq_resolve :premises (@p5 @p57)) % 166.06/166.23 (step @p59 :rule bool-eq-true :args (@t69)) % 166.06/166.23 (step @p60 :rule eq-symm :args (true @t69)) % 166.06/166.23 (step @p61 :rule trans :premises (@p60 @p59)) % 166.06/166.23 (step @p62 :rule refl :args (@t69)) % 166.06/166.23 (step @p63 :rule eq-refl :args (@t68)) % 166.06/166.23 (step @p64 :rule cong :premises (@p63 @p62) :args (@t70)) % 166.06/166.23 (step @p65 :rule trans :premises (@p64 @p61)) % 166.06/166.23 (step @p66 :rule refl :args (@t72)) % 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166.06/166.23 (step @p265 :rule eq_resolve :premises (@p263 @p260)) % 166.06/166.23 (step @p266 :rule implies_elim :premises (@p265)) % 166.06/166.23 (step @p267 :rule eq_resolve :premises (@p266 @p257)) % 166.06/166.23 (step @p268 :rule cnf_and_neg :args (@t81)) % 166.06/166.23 (step @p269 :rule cnf_and_neg :args (@t171)) % 166.06/166.23 (step @p270 :rule reordering :premises (@p269) :args ((or @t172 @t169 @t171))) % 166.06/166.23 (step @p271 :rule cnf_equiv_neg2 :args (@t85)) % 166.06/166.23 (step @p272 :rule eq-symm :args (@t171 @t173)) % 166.06/166.23 (step @p273 :rule cong :premises (@p172 @p272) :args ((=> @t140 @t174))) % 166.06/166.23 (assume-push @p409 @t140) % 166.06/166.23 (step @p275 :rule instantiate :premises (@p187) :args ((@list @t166 @t77))) % 166.06/166.23 (step-pop @p410 :rule scope :premises (@p275)) % 166.06/166.23 (step @p276 :rule process_scope :premises (@p410) :args (@t174)) % 166.06/166.23 (step @p278 :rule eq_resolve :premises (@p276 @p273)) % 166.06/166.23 (step @p279 :rule implies_elim :premises (@p278)) % 166.06/166.23 (step @p280 :rule chain_m_resolution :premises (@p279 @p187) :args (@t175 @t76 @t148)) % 166.06/166.23 (step @p281 :rule cnf_equiv_pos2 :args (@t175)) % 166.06/166.23 (step @p282 :rule reordering :premises (@p281) :args ((or @t173 (not @t171) (not @t175)))) % 166.06/166.23 (assume-push @p411 @t153) % 166.06/166.23 (step @p284 :rule instantiate :premises (@p411) :args ((@list @t166))) % 166.06/166.23 (step-pop @p412 :rule scope :premises (@p284)) % 166.06/166.23 (step @p285 :rule process_scope :premises (@p412) :args ((not @t173))) % 166.06/166.23 (step @p287 :rule implies_elim :premises (@p285)) % 166.06/166.23 (step @p288 :rule refl :args (@t152)) % 166.06/166.23 (step @p289 :rule bool-double-not-elim :args (@t153)) % 166.06/166.23 (step @p290 :rule refl :args (@t176)) % 166.06/166.23 (step @p291 :rule nary_cong :premises (@p290 @p289 @p288) :args ((or @t176 @t177 @t152))) % 166.06/166.23 (step @p292 :rule cnf_equiv_pos1 :args (@t155)) % 166.06/166.23 (step @p293 :rule eq_resolve :premises (@p292 @p291)) % 166.06/166.23 (step @p294 :rule reordering :premises (@p293) :args ((or @t153 @t152 @t176))) % 166.06/166.23 (step @p295 :rule refl :args (@t178)) % 166.06/166.23 (step @p296 :rule refl :args (@t179)) % 166.06/166.23 (step @p297 :rule bool-double-not-elim :args (@t84)) % 166.06/166.23 (step @p298 :rule nary_cong :premises (@p297 @p296 @p295) :args ((or (not @t180) @t179 @t178))) % 166.06/166.23 (assume-push @p413 @t180) % 166.06/166.23 (assume-push @p414 @t129) % 166.06/166.23 (assume-push @p415 @t180) % 166.06/166.23 (assume-push @p416 @t129) % 166.06/166.23 (step @p303 :rule false_intro :premises (@p413)) % 166.06/166.23 (step @p304 :rule symm :premises (@p414)) % 166.06/166.23 (step @p305 :rule cong :premises (@p304) :args (@t97)) % 166.06/166.23 (step @p306 :rule refl :args (@t77)) % 166.06/166.23 (step @p307 :rule cong :premises (@p306 @p305) :args (@t152)) % 166.06/166.23 (step @p308 :rule trans :premises (@p307 @p303)) % 166.06/166.23 (step @p309 :rule false_elim :premises (@p308)) % 166.06/166.23 (step-pop @p417 :rule scope :premises (@p309)) % 166.06/166.23 (step-pop @p418 :rule scope :premises (@p417)) % 166.06/166.23 (step @p310 :rule process_scope :premises (@p418) :args (@t178)) % 166.06/166.23 (step @p313 :rule and_intro :premises (@p413 @p414)) % 166.06/166.23 (step @p314 :rule modus_ponens :premises (@p313 @p310)) % 166.06/166.23 (step-pop @p419 :rule scope :premises (@p314)) % 166.06/166.23 (step-pop @p420 :rule scope :premises (@p419)) % 166.06/166.23 (step @p315 :rule process_scope :premises (@p420) :args (@t178)) % 166.06/166.23 (step @p318 :rule implies_elim :premises (@p315)) % 166.06/166.23 (step @p319 :rule cnf_and_neg :args (@t181)) % 166.06/166.23 (step @p320 :rule resolution :premises (@p319 @p318) :args (true @t181)) % 166.06/166.23 (step @p321 :rule eq_resolve :premises (@p320 @p298)) % 166.06/166.23 (step @p322 :rule chain_m_resolution :premises (@p321 @p216 @p294 @p235 @p287 @p282 @p280 @p271 @p102 @p270 @p268 @p267 @p255 @p100) :args ((or @t172 @t91) (@list false false false true false false true true false false false false false) (@list @t129 @t152 @t155 @t153 @t173 @t175 @t84 @t85 @t171 @t81 @t168 @t78 @t95))) % 166.06/166.23 (assume-push @p421 @t91) % 166.06/166.23 (step @p324 :rule instantiate :premises (@p421) :args ((@list @t156))) % 166.06/166.23 (step-pop @p422 :rule scope :premises (@p324)) % 166.06/166.23 (step @p325 :rule process_scope :premises (@p422) :args ((not @t158))) % 166.06/166.23 (step @p327 :rule implies_elim :premises (@p325)) % 166.06/166.23 (step @p328 :rule chain_m_resolution :premises (@p327 @p322 @p248 @p246) :args (@t163 @t144 (@list @t91 @t158 @t80))) % 166.06/166.23 (step @p329 :rule cnf_equiv_pos1 :args (@t162)) % 166.06/166.23 (step @p330 :rule reordering :premises (@p329) :args ((or @t182 @t159 (not @t162)))) % 166.06/166.23 (step @p331 :rule chain_m_resolution :premises (@p330 @p328 @p244) :args (@t182 (@list true false) (@list @t159 @t162))) % 166.06/166.23 (step @p332 :rule refl :args (@t160)) % 166.06/166.23 (step @p333 :rule nary_cong :premises (@p289 @p332) :args ((or @t177 @t160))) % 166.06/166.23 (step @p334 :rule bool-double-not-elim :args (@t160)) % 166.06/166.23 (step @p335 :rule refl :args (@t154)) % 166.06/166.23 (step @p336 :rule cong :premises (@p335 @p334) :args ((=> @t154 @t183))) % 166.06/166.23 (assume-push @p423 @t154) % 166.06/166.23 (step @p338 :rule skolemize :premises (@p423)) % 166.06/166.23 (step-pop @p424 :rule scope :premises (@p338)) % 166.06/166.23 (step @p339 :rule process_scope :premises (@p424) :args (@t183)) % 166.06/166.23 (step @p341 :rule eq_resolve :premises (@p339 @p336)) % 166.06/166.23 (step @p342 :rule implies_elim :premises (@p341)) % 166.06/166.23 (step @p343 :rule eq_resolve :premises (@p342 @p333)) % 166.06/166.23 (step @p344 :rule chain_m_resolution :premises (@p343 @p331) :args (@t153 @t87 (@list @t160))) % 166.06/166.23 (step @p345 :rule cnf_equiv_pos2 :args (@t155)) % 166.06/166.23 (step @p346 :rule reordering :premises (@p345) :args ((or @t154 @t178 @t176))) % 166.06/166.23 (step @p347 :rule chain_m_resolution :premises (@p346 @p344 @p235) :args (@t178 @t89 (@list @t153 @t155))) % 166.06/166.24 (step @p348 :rule refl :args (@t180)) % 166.06/166.24 (step @p349 :rule bool-double-not-elim :args (@t152)) % 166.06/166.24 (step @p350 :rule nary_cong :premises (@p296 @p349 @p348) :args ((or @t179 (not @t178) @t180))) % 166.06/166.24 (assume-push @p425 @t129) % 166.06/166.24 (assume-push @p426 @t178) % 166.06/166.24 (assume-push @p427 @t178) % 166.06/166.24 (assume-push @p428 @t129) % 166.06/166.24 (step @p355 :rule false_intro :premises (@p426)) % 166.06/166.24 (step @p356 :rule cong :premises (@p425) :args (@t83)) % 166.06/166.24 (step @p306 :rule refl :args (@t77)) % 166.06/166.24 (step @p357 :rule cong :premises (@p306 @p356) :args (@t84)) % 166.06/166.24 (step @p358 :rule trans :premises (@p357 @p355)) % 166.06/166.24 (step @p359 :rule false_elim :premises (@p358)) % 166.06/166.24 (step-pop @p429 :rule scope :premises (@p359)) % 166.06/166.24 (step-pop @p430 :rule scope :premises (@p429)) % 166.06/166.24 (step @p360 :rule process_scope :premises (@p430) :args (@t180)) % 166.06/166.24 (step @p363 :rule and_intro :premises (@p426 @p425)) % 166.06/166.24 (step @p364 :rule modus_ponens :premises (@p363 @p360)) % 166.06/166.24 (step-pop @p431 :rule scope :premises (@p364)) % 166.06/166.24 (step-pop @p432 :rule scope :premises (@p431)) % 166.06/166.24 (step @p365 :rule process_scope :premises (@p432) :args (@t180)) % 166.06/166.24 (step @p368 :rule implies_elim :premises (@p365)) % 166.06/166.24 (step @p369 :rule cnf_and_neg :args (@t184)) % 166.06/166.24 (step @p370 :rule resolution :premises (@p369 @p368) :args (true @t184)) % 166.06/166.24 (step @p371 :rule eq_resolve :premises (@p370 @p350)) % 166.06/166.24 (step @p372 :rule reordering :premises (@p371) :args ((or @t180 @t179 @t152))) % 166.06/166.24 (step @p373 :rule chain_m_resolution :premises (@p372 @p216 @p347) :args (@t180 (@list false true) (@list @t129 @t152))) % 166.06/166.24 (step @p374 :rule cnf_equiv_neg1 :args (@t85)) % 166.06/166.24 (step @p375 :rule reordering :premises (@p374) :args ((or @t84 @t81 @t85))) % 166.06/166.24 (step @p376 :rule chain_m_resolution :premises (@p375 @p373 @p102) :args (@t81 (@list true true) (@list @t84 @t85))) % 166.06/166.24 (step @p377 :rule cnf_and_pos :args (@t81 1)) % 166.06/166.24 (step @p378 :rule reordering :premises (@p377) :args ((or @t78 @t185))) % 166.06/166.24 (step @p379 :rule chain_m_resolution :premises (@p378 @p376) :args (@t78 @t76 @t186)) % 166.06/166.24 (step @p380 :rule cnf_and_pos :args (@t81 0)) % 166.06/166.24 (step @p381 :rule reordering :premises (@p380) :args ((or @t80 @t185))) % 166.06/166.24 (step @p382 :rule chain_m_resolution :premises (@p381 @p376) :args (@t80 @t76 @t186)) % 166.06/166.24 (step @p383 :rule chain_m_resolution :premises (@p322 @p382) :args (@t91 @t76 (@list @t80))) % 166.06/166.24 (step @p384 :rule cnf_equiv_pos1 :args (@t95)) % 166.06/166.24 (step @p385 :rule reordering :premises (@p384) :args ((or (not @t78) @t92 @t164))) % 166.06/166.24 (step @p386 false :rule chain_m_resolution :premises (@p385 @p383 @p379 @p100) :args (false @t144 (@list @t91 @t78 @t95))) % 166.06/166.24 ) % 166.06/166.24 % SZS output end Proof % 166.06/166.24 % cvc5 exiting %------------------------------------------------------------------------------