%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU203+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 : n008.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 08:50:56 AM UTC 2026 % Result : Theorem 158.23s 158.63s % Output : Proof 158.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU203+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.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 16:38:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 158.23/158.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 158.23/158.63 --- Run --no-e-matching --full-saturate-quant at 6... % 158.23/158.63 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 158.23/158.63 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 158.23/158.63 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 158.23/158.63 --- Run --trigger-sel=max --full-saturate-quant at 15... % 158.23/158.63 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 158.23/158.63 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 158.23/158.63 --- Run --prenex-quant=none --full-saturate-quant at 30... % 158.23/158.63 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 158.23/158.63 % SZS status Theorem % 158.23/158.63 % SZS output start Proof % 158.23/158.63 ( % 158.23/158.63 (declare-sort $$unsorted 0) % 158.23/158.63 (declare-const tptp.empty_set $$unsorted) % 158.23/158.63 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 158.23/158.63 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 158.23/158.63 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 158.23/158.63 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 158.23/158.63 (declare-const tptp.empty (-> $$unsorted Bool)) % 158.23/158.63 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 158.23/158.63 (declare-const tptp.relation (-> $$unsorted Bool)) % 158.23/158.63 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 158.23/158.63 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 158.23/158.63 (define @t1 () (@var "A" $$unsorted)) % 158.23/158.63 (define @t2 () (@var "B" $$unsorted)) % 158.23/158.63 (define @t3 () (tptp.in @t1 @t2)) % 158.23/158.63 (define @t4 () (@list @t1 @t2)) % 158.23/158.63 (define @t5 () (tptp.relation @t1)) % 158.23/158.63 (define @t6 () (tptp.empty @t1)) % 158.23/158.63 (define @t7 () (@list @t1)) % 158.23/158.63 (define @t8 () (tptp.unordered_pair @t1 @t2)) % 158.23/158.63 (define @t9 () (@var "E" $$unsorted)) % 158.23/158.63 (define @t10 () (tptp.in @t9 @t2)) % 158.23/158.63 (define @t11 () (@var "D" $$unsorted)) % 158.23/158.63 (define @t12 () (tptp.ordered_pair @t9 @t11)) % 158.23/158.63 (define @t13 () (tptp.in @t12 @t1)) % 158.23/158.63 (define @t14 () (and @t13 @t10)) % 158.23/158.63 (define @t15 () (@list @t9)) % 158.23/158.63 (define @t16 () (exists @t15 @t14)) % 158.23/158.63 (define @t17 () (@var "C" $$unsorted)) % 158.23/158.63 (define @t18 () (tptp.in @t11 @t17)) % 158.23/158.63 (define @t19 () (= @t18 @t16)) % 158.23/158.63 (define @t20 () (@list @t11)) % 158.23/158.63 (define @t21 () (forall @t20 @t19)) % 158.23/158.63 (define @t22 () (= @t17 (tptp.relation_image @t1 @t2))) % 158.23/158.63 (define @t23 () (= @t22 @t21)) % 158.23/158.63 (define @t24 () (@list @t2 @t17)) % 158.23/158.63 (define @t25 () (forall @t24 @t23)) % 158.23/158.63 (define @t26 () (=> @t5 @t25)) % 158.23/158.63 (define @t27 () (forall @t7 @t26)) % 158.23/158.63 (define @t28 () (tptp.ordered_pair @t17 @t11)) % 158.23/158.63 (define @t29 () (tptp.in @t28 @t1)) % 158.23/158.63 (define @t30 () (exists @t20 @t29)) % 158.23/158.63 (define @t31 () (tptp.in @t17 @t2)) % 158.23/158.63 (define @t32 () (= @t31 @t30)) % 158.23/158.63 (define @t33 () (@list @t17)) % 158.23/158.63 (define @t34 () (forall @t33 @t32)) % 158.23/158.63 (define @t35 () (tptp.relation_dom @t1)) % 158.23/158.63 (define @t36 () (= @t2 @t35)) % 158.23/158.63 (define @t37 () (= @t36 @t34)) % 158.23/158.63 (define @t38 () (@list @t2)) % 158.23/158.63 (define @t39 () (forall @t38 @t37)) % 158.23/158.63 (define @t40 () (=> @t5 @t39)) % 158.23/158.63 (define @t41 () (forall @t7 @t40)) % 158.23/158.63 (define @t42 () (tptp.singleton @t1)) % 158.23/158.63 (define @t43 () (tptp.ordered_pair @t1 @t2)) % 158.23/158.63 (define @t44 () (tptp.empty tptp.empty_set)) % 158.23/158.63 (define @t45 () (tptp.empty @t35)) % 158.23/158.63 (define @t46 () (not @t6)) % 158.23/158.63 (define @t47 () (and @t46 @t5)) % 158.23/158.63 (define @t48 () (tptp.in @t11 @t2)) % 158.23/158.63 (define @t49 () (tptp.in (tptp.ordered_pair @t11 @t1) @t17)) % 158.23/158.63 (define @t50 () (tptp.in @t11 (tptp.relation_dom @t17))) % 158.23/158.63 (define @t51 () (and @t50 @t49 @t48)) % 158.23/158.63 (define @t52 () (exists @t20 @t51)) % 158.23/158.63 (define @t53 () (tptp.in @t1 (tptp.relation_image @t17 @t2))) % 158.23/158.63 (define @t54 () (= @t53 @t52)) % 158.23/158.63 (define @t55 () (tptp.relation @t17)) % 158.23/158.63 (define @t56 () (=> @t55 @t54)) % 158.23/158.63 (define @t57 () (@list @t1 @t2 @t17)) % 158.23/158.63 (define @t58 () (forall @t57 @t56)) % 158.23/158.63 (define @t59 () (not @t58)) % 158.23/158.63 (define @t60 () (tptp.element @t1 @t2)) % 158.23/158.63 (define @t61 () (tptp.empty @t2)) % 158.23/158.63 (define @t62 () (@var "BOUND_VARIABLE_7564" $$unsorted)) % 158.23/158.63 (define @t63 () (not @t13)) % 158.23/158.63 (define @t64 () (@var "BOUND_VARIABLE_7566" $$unsorted)) % 158.23/158.63 (define @t65 () (= (= @t64 (tptp.relation_image @t1 @t62)) (forall @t20 (= (tptp.in @t11 @t64) (not (forall @t15 (or @t63 (not (tptp.in @t9 @t62))))))))) % 158.23/158.63 (define @t66 () (not @t5)) % 158.23/158.63 (define @t67 () (or @t66 @t65)) % 158.23/158.63 (define @t68 () (forall (@list @t1 @t62 @t64) @t67)) % 158.23/158.63 (define @t69 () (@list @t62 @t64)) % 158.23/158.63 (define @t70 () (forall @t69 @t67)) % 158.23/158.63 (define @t71 () (forall @t69 @t65)) % 158.23/158.63 (define @t72 () (or @t66 @t71)) % 158.23/158.63 (define @t73 () (forall @t24 (= @t22 (forall @t20 (= @t18 (not (forall @t15 (or @t63 (not @t10))))))))) % 158.23/158.63 (define @t74 () (forall @t15 (not @t14))) % 158.23/158.63 (define @t75 () (not @t74)) % 158.23/158.63 (define @t76 () (not @t48)) % 158.23/158.63 (define @t77 () (not @t49)) % 158.23/158.63 (define @t78 () (not @t50)) % 158.23/158.63 (define @t79 () (or @t78 @t77 @t76)) % 158.23/158.63 (define @t80 () (= @t53 (not (forall @t20 @t79)))) % 158.23/158.63 (define @t81 () (forall @t57 (or (not @t55) @t80))) % 158.23/158.63 (define @t82 () (@quantifiers_skolemize @t81 1)) % 158.23/158.63 (define @t83 () (not (tptp.in @t9 @t82))) % 158.23/158.63 (define @t84 () (@quantifiers_skolemize @t81 2)) % 158.23/158.63 (define @t85 () (tptp.relation_image @t84 @t82)) % 158.23/158.63 (define @t86 () (forall @t20 (= (tptp.in @t11 @t85) (not (forall @t15 (or (not (tptp.in @t12 @t84)) @t83)))))) % 158.23/158.63 (define @t87 () (= (= @t85 @t85) @t86)) % 158.23/158.63 (define @t88 () (tptp.relation @t84)) % 158.23/158.63 (define @t89 () (not @t88)) % 158.23/158.63 (define @t90 () (or @t89 @t87)) % 158.23/158.63 (define @t91 () (or @t89 @t86)) % 158.23/158.63 (define @t92 () (@list false)) % 158.23/158.63 (define @t93 () (forall @t20 (not @t51))) % 158.23/158.63 (define @t94 () (not @t93)) % 158.23/158.63 (define @t95 () (@quantifiers_skolemize @t81 0)) % 158.23/158.63 (define @t96 () (tptp.relation_dom @t84)) % 158.23/158.63 (define @t97 () (forall @t20 (or (not (tptp.in @t11 @t96)) (not (tptp.in (tptp.ordered_pair @t11 @t95) @t84)) (not (tptp.in @t11 @t82))))) % 158.23/158.63 (define @t98 () (not @t97)) % 158.23/158.63 (define @t99 () (tptp.in @t95 @t85)) % 158.23/158.63 (define @t100 () (= @t99 @t98)) % 158.23/158.63 (define @t101 () (or @t89 @t100)) % 158.23/158.63 (define @t102 () (@list true)) % 158.23/158.63 (define @t103 () (@list @t101)) % 158.23/158.63 (define @t104 () (@list false false)) % 158.23/158.63 (define @t105 () (@list @t95)) % 158.23/158.63 (define @t106 () (forall @t15 (or (not (tptp.in (tptp.ordered_pair @t9 @t95) @t84)) @t83))) % 158.23/158.63 (define @t107 () (not @t106)) % 158.23/158.63 (define @t108 () (= @t99 @t107)) % 158.23/158.63 (define @t109 () (not @t108)) % 158.23/158.63 (define @t110 () (not @t99)) % 158.23/158.63 (define @t111 () (@quantifiers_skolemize @t97 0)) % 158.23/158.63 (define @t112 () (tptp.in @t111 @t82)) % 158.23/158.63 (define @t113 () (not @t112)) % 158.23/158.63 (define @t114 () (tptp.in (tptp.ordered_pair @t111 @t95) @t84)) % 158.23/158.63 (define @t115 () (not @t114)) % 158.23/158.63 (define @t116 () (or (not (tptp.in @t111 @t96)) @t115 @t113)) % 158.23/158.63 (define @t117 () (not @t116)) % 158.23/158.63 (define @t118 () (not @t98)) % 158.23/158.63 (define @t119 () (or @t115 @t113)) % 158.23/158.63 (define @t120 () (@quantifiers_skolemize @t106 0)) % 158.23/158.63 (define @t121 () (tptp.in @t120 @t82)) % 158.23/158.63 (define @t122 () (not @t121)) % 158.23/158.63 (define @t123 () (tptp.in (tptp.ordered_pair @t120 @t95) @t84)) % 158.23/158.63 (define @t124 () (not @t123)) % 158.23/158.63 (define @t125 () (or @t124 @t122)) % 158.23/158.63 (define @t126 () (not @t125)) % 158.23/158.63 (define @t127 () (not @t107)) % 158.23/158.63 (define @t128 () (@var "BOUND_VARIABLE_7594" $$unsorted)) % 158.23/158.63 (define @t129 () (tptp.in @t17 @t128)) % 158.23/158.63 (define @t130 () (not (forall @t20 (not @t29)))) % 158.23/158.63 (define @t131 () (forall @t33 (= @t129 @t130))) % 158.23/158.63 (define @t132 () (= (= @t128 @t35) @t131)) % 158.23/158.63 (define @t133 () (or @t66 @t132)) % 158.23/158.63 (define @t134 () (@list @t1 @t128)) % 158.23/158.63 (define @t135 () (forall @t134 @t133)) % 158.23/158.63 (define @t136 () (@list @t128)) % 158.23/158.63 (define @t137 () (forall @t136 @t133)) % 158.23/158.63 (define @t138 () (forall @t136 @t132)) % 158.23/158.63 (define @t139 () (or @t66 @t138)) % 158.23/158.63 (define @t140 () (forall @t38 (= @t36 (forall @t33 (= @t31 @t130))))) % 158.23/158.63 (define @t141 () (forall @t33 (= (not (forall @t20 (not (tptp.in @t28 @t84)))) (tptp.in @t17 @t96)))) % 158.23/158.63 (define @t142 () (= (= @t96 @t96) @t141)) % 158.23/158.63 (define @t143 () (or @t89 @t142)) % 158.23/158.63 (define @t144 () (forall @t134 (or @t66 (= (= @t35 @t128) (forall @t33 (= @t130 @t129)))))) % 158.23/158.63 (define @t145 () (or @t89 @t141)) % 158.23/158.63 (define @t146 () (forall @t20 (not (tptp.in (tptp.ordered_pair @t120 @t11) @t84)))) % 158.23/158.63 (define @t147 () (not @t146)) % 158.23/158.63 (define @t148 () (tptp.in @t120 @t96)) % 158.23/158.63 (define @t149 () (= @t147 @t148)) % 158.23/158.63 (define @t150 () (@list @t120)) % 158.23/158.63 (define @t151 () (= @t148 @t147)) % 158.23/158.63 (define @t152 () (@list true false)) % 158.23/158.63 (define @t153 () (not @t148)) % 158.23/158.63 (define @t154 () (or @t153 @t124 @t122)) % 158.23/158.63 (define @t155 () (not @t151)) % 158.23/158.63 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 158.23/158.63 (assume @p2 (forall @t7 (=> @t6 @t5))) % 158.23/158.63 (assume @p3 (forall @t4 (= @t8 (tptp.unordered_pair @t2 @t1)))) % 158.23/158.63 (assume @p4 @t27) % 158.23/158.63 (assume @p5 @t41) % 158.23/158.63 (assume @p6 (forall @t4 (= @t43 (tptp.unordered_pair @t8 @t42)))) % 158.23/158.63 (assume @p7 true) % 158.23/158.63 (assume @p8 (forall @t7 (exists @t38 (tptp.element @t2 @t1)))) % 158.23/158.63 (assume @p9 @t44) % 158.23/158.63 (assume @p10 (forall @t4 (not (tptp.empty @t43)))) % 158.23/158.63 (assume @p11 (forall @t7 (not (tptp.empty @t42)))) % 158.23/158.63 (assume @p12 (forall @t4 (not (tptp.empty @t8)))) % 158.23/158.63 (assume @p13 (and @t44 (tptp.relation tptp.empty_set))) % 158.23/158.63 (assume @p14 (forall @t7 (=> @t47 (not @t45)))) % 158.23/158.63 (assume @p15 (forall @t7 (=> @t6 (and @t45 (tptp.relation @t35))))) % 158.23/158.63 (assume @p16 (exists @t7 (and @t6 @t5))) % 158.23/158.63 (assume @p17 (exists @t7 @t6)) % 158.23/158.63 (assume @p18 (exists @t7 @t47)) % 158.23/158.63 (assume @p19 (exists @t7 @t46)) % 158.23/158.63 (assume @p20 @t59) % 158.23/158.63 (assume @p21 (forall @t4 (=> @t3 @t60))) % 158.23/158.63 (assume @p22 (forall @t4 (=> @t60 (or @t61 @t3)))) % 158.23/158.63 (assume @p23 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 158.23/158.63 (assume @p24 (forall @t4 (not (and @t3 @t61)))) % 158.23/158.63 (assume @p25 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t61)))) % 158.23/158.63 (step @p26 :rule quant-merge-prenex :args ((= (forall @t7 @t70) @t68))) % 158.23/158.63 (step @p27 :rule alpha_equiv :args (@t71 (@list @t62 @t64) (@list @t2 @t17))) % 158.23/158.63 (step @p28 :rule refl :args (@t66)) % 158.23/158.63 (step @p29 :rule nary_cong :premises (@p28 @p27) :args (@t72)) % 158.23/158.63 (step @p30 :rule quant-miniscope-or :args ((= @t70 @t72))) % 158.23/158.63 (step @p31 :rule trans :premises (@p30 @p29)) % 158.23/158.63 (step @p32 :rule symm :premises (@p31)) % 158.23/158.63 (step @p33 :rule cong :premises (@p32) :args ((forall @t7 (or @t66 @t73)))) % 158.23/158.63 (step @p34 :rule trans :premises (@p33 @p26)) % 158.23/158.63 (step @p35 :rule bool-impl-elim :args (@t5 @t73)) % 158.23/158.63 (step @p36 :rule cong :premises (@p35) :args ((forall @t7 (=> @t5 @t73)))) % 158.23/158.63 (step @p37 :rule trans :premises (@p36 @p34)) % 158.23/158.63 (step @p38 :rule bool-and-de-morgan :args (@t13 @t10 true)) % 158.23/158.63 (step @p39 :rule cong :premises (@p38) :args (@t74)) % 158.23/158.63 (step @p40 :rule cong :premises (@p39) :args (@t75)) % 158.23/158.63 (step @p41 :rule exists-elim :args ((= @t16 @t75))) % 158.23/158.63 (step @p42 :rule trans :premises (@p41 @p40)) % 158.23/158.63 (step @p43 :rule refl :args (@t18)) % 158.23/158.63 (step @p44 :rule cong :premises (@p43 @p42) :args (@t19)) % 158.23/158.63 (step @p45 :rule cong :premises (@p44) :args (@t21)) % 158.23/158.63 (step @p46 :rule refl :args (@t22)) % 158.23/158.63 (step @p47 :rule cong :premises (@p46 @p45) :args (@t23)) % 158.23/158.63 (step @p48 :rule cong :premises (@p47) :args (@t25)) % 158.23/158.63 (step @p49 :rule refl :args (@t5)) % 158.23/158.63 (step @p50 :rule cong :premises (@p49 @p48) :args (@t26)) % 158.23/158.63 (step @p51 :rule cong :premises (@p50) :args (@t27)) % 158.23/158.63 (step @p52 :rule trans :premises (@p51 @p37)) % 158.23/158.63 (step @p53 :rule eq_resolve :premises (@p4 @p52)) % 158.23/158.63 (step @p54 :rule bool-eq-true :args (@t86)) % 158.23/158.63 (step @p55 :rule eq-symm :args (true @t86)) % 158.23/158.63 (step @p56 :rule trans :premises (@p55 @p54)) % 158.23/158.63 (step @p57 :rule refl :args (@t86)) % 158.23/158.63 (step @p58 :rule eq-refl :args (@t85)) % 158.23/158.63 (step @p59 :rule cong :premises (@p58 @p57) :args (@t87)) % 158.23/158.63 (step @p60 :rule trans :premises (@p59 @p56)) % 158.23/158.63 (step @p61 :rule refl :args (@t89)) % 158.23/158.63 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t90)) % 158.23/158.63 (step @p63 :rule refl :args (@t68)) % 158.23/158.63 (step @p64 :rule cong :premises (@p63 @p62) :args ((=> @t68 @t90))) % 158.23/158.63 (assume-push @p257 @t68) % 158.23/158.63 (step @p66 :rule instantiate :premises (@p53) :args ((@list @t84 @t82 @t85))) % 158.23/158.63 (step-pop @p258 :rule scope :premises (@p66)) % 158.23/158.63 (step @p67 :rule process_scope :premises (@p258) :args (@t90)) % 158.23/158.63 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 158.23/158.63 (step @p70 :rule implies_elim :premises (@p69)) % 158.23/158.63 (step @p71 :rule chain_m_resolution :premises (@p70 @p53) :args (@t91 @t92 (@list @t68))) % 158.23/158.63 (step @p72 :rule bool-impl-elim :args (@t55 @t80)) % 158.23/158.63 (step @p73 :rule cong :premises (@p72) :args ((forall @t57 (=> @t55 @t80)))) % 158.23/158.63 (step @p74 :rule aci_norm :args ((= (or @t78 (or @t77 @t76)) @t79))) % 158.23/158.63 (step @p75 :rule bool-and-de-morgan :args (@t49 @t48 true)) % 158.23/158.63 (step @p76 :rule refl :args (@t78)) % 158.23/158.63 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t78 (not (and @t49 @t48))))) % 158.23/158.63 (step @p78 :rule bool-and-de-morgan :args (@t50 @t49 (and @t48))) % 158.23/158.63 (step @p79 :rule trans :premises (@p78 @p77)) % 158.23/158.63 (step @p80 :rule trans :premises (@p79 @p74)) % 158.23/158.63 (step @p81 :rule cong :premises (@p80) :args (@t93)) % 158.23/158.63 (step @p82 :rule cong :premises (@p81) :args (@t94)) % 158.23/158.63 (step @p83 :rule exists-elim :args ((= @t52 @t94))) % 158.23/158.63 (step @p84 :rule trans :premises (@p83 @p82)) % 158.23/158.63 (step @p85 :rule refl :args (@t53)) % 158.23/158.63 (step @p86 :rule cong :premises (@p85 @p84) :args (@t54)) % 158.23/158.63 (step @p87 :rule refl :args (@t55)) % 158.23/158.63 (step @p88 :rule cong :premises (@p87 @p86) :args (@t56)) % 158.23/158.63 (step @p89 :rule cong :premises (@p88) :args (@t58)) % 158.23/158.63 (step @p90 :rule trans :premises (@p89 @p73)) % 158.23/158.63 (step @p91 :rule cong :premises (@p90) :args (@t59)) % 158.23/158.63 (step @p92 :rule eq_resolve :premises (@p20 @p91)) % 158.23/158.63 (step @p93 :rule skolemize :premises (@p92)) % 158.23/158.63 (step @p94 :rule bool-double-not-elim :args (@t88)) % 158.23/158.63 (step @p95 :rule refl :args (@t101)) % 158.23/158.63 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t101 (not @t89)))) % 158.23/158.63 (step @p97 :rule cnf_or_neg :args (@t101 0)) % 158.23/158.63 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 158.23/158.63 (step @p99 :rule reordering :premises (@p98) :args ((or @t88 @t101))) % 158.23/158.63 (step @p100 :rule chain_m_resolution :premises (@p99 @p93) :args (@t88 @t102 @t103)) % 158.23/158.63 (step @p101 :rule cnf_or_pos :args (@t91)) % 158.23/158.63 (step @p102 :rule reordering :premises (@p101) :args ((or @t89 @t86 (not @t91)))) % 158.23/158.63 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p71) :args (@t86 @t104 (@list @t88 @t91))) % 158.23/158.63 (step @p104 :rule instantiate :premises (@p103) :args (@t105)) % 158.23/158.63 (step @p105 :rule cnf_equiv_pos1 :args (@t108)) % 158.23/158.63 (step @p106 :rule reordering :premises (@p105) :args ((or @t110 @t107 @t109))) % 158.23/158.63 (step @p107 :rule cnf_or_neg :args (@t101 1)) % 158.23/158.63 (step @p108 :rule chain_m_resolution :premises (@p107 @p93) :args ((not @t100) @t102 @t103)) % 158.23/158.63 (step @p109 :rule cnf_equiv_neg1 :args (@t100)) % 158.23/158.63 (step @p110 :rule reordering :premises (@p109) :args ((or @t99 @t98 @t100))) % 158.23/158.63 (step @p111 :rule refl :args (@t117)) % 158.23/158.63 (step @p112 :rule bool-double-not-elim :args (@t97)) % 158.23/158.63 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t118 @t117))) % 158.23/158.63 (assume-push @p259 @t98) % 158.23/158.63 (step @p115 :rule skolemize :premises (@p259)) % 158.23/158.63 (step-pop @p260 :rule scope :premises (@p115)) % 158.23/158.63 (step @p116 :rule process_scope :premises (@p260) :args (@t117)) % 158.23/158.63 (step @p118 :rule implies_elim :premises (@p116)) % 158.23/158.63 (step @p119 :rule eq_resolve :premises (@p118 @p113)) % 158.23/158.63 (step @p120 :rule bool-double-not-elim :args (@t114)) % 158.23/158.63 (step @p121 :rule refl :args (@t116)) % 158.23/158.63 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or @t116 (not @t115)))) % 158.23/158.63 (step @p123 :rule cnf_or_neg :args (@t116 1)) % 158.23/158.63 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 158.23/158.63 (step @p125 :rule reordering :premises (@p124) :args ((or @t114 @t116))) % 158.23/158.63 (step @p126 :rule bool-double-not-elim :args (@t112)) % 158.23/158.63 (step @p127 :rule nary_cong :premises (@p121 @p126) :args ((or @t116 (not @t113)))) % 158.23/158.63 (step @p128 :rule cnf_or_neg :args (@t116 2)) % 158.23/158.63 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 158.23/158.63 (step @p130 :rule reordering :premises (@p129) :args ((or @t112 @t116))) % 158.23/158.63 (step @p131 :rule cnf_or_pos :args (@t119)) % 158.23/158.63 (step @p132 :rule reordering :premises (@p131) :args ((or @t115 @t113 (not @t119)))) % 158.23/158.63 (assume-push @p261 @t106) % 158.23/158.63 (step @p134 :rule instantiate :premises (@p261) :args ((@list @t111))) % 158.23/158.63 (step-pop @p262 :rule scope :premises (@p134)) % 158.23/158.63 (step @p135 :rule process_scope :premises (@p262) :args (@t119)) % 158.23/158.63 (step @p137 :rule implies_elim :premises (@p135)) % 158.23/158.63 (step @p138 :rule chain_m_resolution :premises (@p137 @p132 @p130 @p125 @p119 @p110 @p108 @p106 @p104) :args (@t107 (@list true false false true true true true false) (@list @t119 @t112 @t114 @t116 @t97 @t100 @t99 @t108))) % 158.23/158.63 (step @p139 :rule refl :args (@t126)) % 158.23/158.63 (step @p140 :rule bool-double-not-elim :args (@t106)) % 158.23/158.63 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or @t127 @t126))) % 158.23/158.63 (assume-push @p263 @t107) % 158.23/158.63 (step @p143 :rule skolemize :premises (@p263)) % 158.23/158.63 (step-pop @p264 :rule scope :premises (@p143)) % 158.23/158.63 (step @p144 :rule process_scope :premises (@p264) :args (@t126)) % 158.23/158.63 (step @p146 :rule implies_elim :premises (@p144)) % 158.23/158.63 (step @p147 :rule eq_resolve :premises (@p146 @p141)) % 158.23/158.63 (step @p148 :rule chain_m_resolution :premises (@p147 @p138) :args (@t126 @t102 (@list @t106))) % 158.23/158.63 (step @p149 :rule bool-double-not-elim :args (@t123)) % 158.23/158.63 (step @p150 :rule refl :args (@t125)) % 158.23/158.63 (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((or @t125 (not @t124)))) % 158.23/158.63 (step @p152 :rule cnf_or_neg :args (@t125 0)) % 158.23/158.63 (step @p153 :rule eq_resolve :premises (@p152 @p151)) % 158.23/158.63 (step @p154 :rule reordering :premises (@p153) :args ((or @t123 @t125))) % 158.23/158.63 (step @p155 :rule chain_m_resolution :premises (@p154 @p148) :args (@t123 @t102 (@list @t125))) % 158.23/158.63 (step @p156 :rule eq-symm :args (@t129 @t130)) % 158.23/158.63 (step @p157 :rule cong :premises (@p156) :args (@t131)) % 158.23/158.63 (step @p158 :rule eq-symm :args (@t128 @t35)) % 158.23/158.63 (step @p159 :rule cong :premises (@p158 @p157) :args (@t132)) % 158.23/158.63 (step @p160 :rule refl :args (@t66)) % 158.23/158.63 (step @p161 :rule nary_cong :premises (@p160 @p159) :args (@t133)) % 158.23/158.63 (step @p162 :rule cong :premises (@p161) :args (@t135)) % 158.23/158.63 (step @p163 :rule quant-merge-prenex :args ((= (forall @t7 @t137) @t135))) % 158.23/158.63 (step @p164 :rule alpha_equiv :args (@t138 (@list @t128) (@list @t2))) % 158.23/158.63 (step @p165 :rule nary_cong :premises (@p28 @p164) :args (@t139)) % 158.23/158.63 (step @p166 :rule quant-miniscope-or :args ((= @t137 @t139))) % 158.23/158.63 (step @p167 :rule trans :premises (@p166 @p165)) % 158.23/158.63 (step @p168 :rule symm :premises (@p167)) % 158.23/158.63 (step @p169 :rule cong :premises (@p168) :args ((forall @t7 (or @t66 @t140)))) % 158.23/158.63 (step @p170 :rule trans :premises (@p169 @p163)) % 158.23/158.63 (step @p171 :rule trans :premises (@p170 @p162)) % 158.23/158.63 (step @p172 :rule bool-impl-elim :args (@t5 @t140)) % 158.23/158.63 (step @p173 :rule cong :premises (@p172) :args ((forall @t7 (=> @t5 @t140)))) % 158.23/158.63 (step @p174 :rule trans :premises (@p173 @p171)) % 158.23/158.63 (step @p175 :rule exists-elim :args ((= @t30 @t130))) % 158.23/158.63 (step @p176 :rule refl :args (@t31)) % 158.23/158.63 (step @p177 :rule cong :premises (@p176 @p175) :args (@t32)) % 158.23/158.63 (step @p178 :rule cong :premises (@p177) :args (@t34)) % 158.23/158.63 (step @p179 :rule refl :args (@t36)) % 158.23/158.63 (step @p180 :rule cong :premises (@p179 @p178) :args (@t37)) % 158.23/158.63 (step @p181 :rule cong :premises (@p180) :args (@t39)) % 158.23/158.63 (step @p182 :rule cong :premises (@p49 @p181) :args (@t40)) % 158.23/158.63 (step @p183 :rule cong :premises (@p182) :args (@t41)) % 158.23/158.63 (step @p184 :rule trans :premises (@p183 @p174)) % 158.23/158.63 (step @p185 :rule eq_resolve :premises (@p5 @p184)) % 158.23/158.63 (step @p186 :rule bool-eq-true :args (@t141)) % 158.23/158.63 (step @p187 :rule eq-symm :args (true @t141)) % 158.23/158.63 (step @p188 :rule trans :premises (@p187 @p186)) % 158.23/158.63 (step @p189 :rule refl :args (@t141)) % 158.23/158.63 (step @p190 :rule eq-refl :args (@t96)) % 158.23/158.63 (step @p191 :rule cong :premises (@p190 @p189) :args (@t142)) % 158.23/158.63 (step @p192 :rule trans :premises (@p191 @p188)) % 158.23/158.63 (step @p193 :rule nary_cong :premises (@p61 @p192) :args (@t143)) % 158.23/158.63 (step @p194 :rule refl :args (@t144)) % 158.23/158.63 (step @p195 :rule cong :premises (@p194 @p193) :args ((=> @t144 @t143))) % 158.23/158.63 (assume-push @p265 @t144) % 158.23/158.63 (step @p197 :rule instantiate :premises (@p185) :args ((@list @t84 @t96))) % 158.23/158.63 (step-pop @p266 :rule scope :premises (@p197)) % 158.23/158.63 (step @p198 :rule process_scope :premises (@p266) :args (@t143)) % 158.23/158.63 (step @p200 :rule eq_resolve :premises (@p198 @p195)) % 158.23/158.63 (step @p201 :rule implies_elim :premises (@p200)) % 158.23/158.63 (step @p202 :rule chain_m_resolution :premises (@p201 @p185) :args (@t145 @t92 (@list @t144))) % 158.23/158.63 (step @p203 :rule cnf_or_pos :args (@t145)) % 158.23/158.63 (step @p204 :rule reordering :premises (@p203) :args ((or @t89 @t141 (not @t145)))) % 158.23/158.63 (step @p205 :rule chain_m_resolution :premises (@p204 @p100 @p202) :args (@t141 @t104 (@list @t88 @t145))) % 158.23/158.63 (step @p206 :rule eq-symm :args (@t147 @t148)) % 158.23/158.63 (step @p207 :rule cong :premises (@p189 @p206) :args ((=> @t141 @t149))) % 158.23/158.63 (assume-push @p267 @t141) % 158.23/158.63 (step @p209 :rule instantiate :premises (@p205) :args (@t150)) % 158.23/158.63 (step-pop @p268 :rule scope :premises (@p209)) % 158.23/158.63 (step @p210 :rule process_scope :premises (@p268) :args (@t149)) % 158.23/158.63 (step @p212 :rule eq_resolve :premises (@p210 @p207)) % 158.23/158.63 (step @p213 :rule implies_elim :premises (@p212)) % 158.23/158.63 (step @p214 :rule chain_m_resolution :premises (@p213 @p205) :args (@t151 @t92 (@list @t141))) % 158.23/158.63 (step @p215 :rule refl :args (@t99)) % 158.23/158.63 (step @p216 :rule refl :args (@t109)) % 158.23/158.63 (step @p217 :rule nary_cong :premises (@p216 @p215 @p140) :args ((or @t109 @t99 @t127))) % 158.23/158.63 (step @p218 :rule cnf_equiv_pos2 :args (@t108)) % 158.23/158.63 (step @p219 :rule eq_resolve :premises (@p218 @p217)) % 158.23/158.63 (step @p220 :rule reordering :premises (@p219) :args ((or @t99 @t106 @t109))) % 158.23/158.63 (step @p221 :rule chain_m_resolution :premises (@p220 @p138 @p104) :args (@t99 @t152 (@list @t106 @t108))) % 158.23/158.63 (step @p222 :rule refl :args (@t110)) % 158.23/158.63 (step @p223 :rule refl :args (@t100)) % 158.23/158.63 (step @p224 :rule nary_cong :premises (@p223 @p222 @p112) :args ((or @t100 @t110 @t118))) % 158.23/158.63 (step @p225 :rule cnf_equiv_neg2 :args (@t100)) % 158.23/158.63 (step @p226 :rule eq_resolve :premises (@p225 @p224)) % 158.23/158.63 (step @p227 :rule reordering :premises (@p226) :args ((or @t97 @t100 @t110))) % 158.23/158.63 (assume-push @p269 @t97) % 158.23/158.63 (step @p229 :rule instantiate :premises (@p269) :args (@t150)) % 158.23/158.63 (step-pop @p270 :rule scope :premises (@p229)) % 158.23/158.63 (step @p230 :rule process_scope :premises (@p270) :args (@t154)) % 158.23/158.63 (step @p232 :rule implies_elim :premises (@p230)) % 158.23/158.63 (step @p233 :rule bool-double-not-elim :args (@t121)) % 158.23/158.63 (step @p234 :rule nary_cong :premises (@p150 @p233) :args ((or @t125 (not @t122)))) % 158.23/158.63 (step @p235 :rule cnf_or_neg :args (@t125 1)) % 158.23/158.63 (step @p236 :rule eq_resolve :premises (@p235 @p234)) % 158.23/158.63 (step @p237 :rule reordering :premises (@p236) :args ((or @t121 @t125))) % 158.23/158.63 (step @p238 :rule cnf_or_pos :args (@t154)) % 158.23/158.63 (step @p239 :rule reordering :premises (@p238) :args ((or @t124 @t122 @t153 (not @t154)))) % 158.23/158.63 (step @p240 :rule chain_m_resolution :premises (@p239 @p237 @p154 @p147 @p232 @p106 @p104 @p227 @p108) :args ((or @t110 @t153) (@list false false true false true false false true) (@list @t121 @t123 @t125 @t154 @t106 @t108 @t97 @t100))) % 158.23/158.63 (step @p241 :rule chain_m_resolution :premises (@p240 @p221) :args (@t153 @t92 (@list @t99))) % 158.23/158.63 (step @p242 :rule bool-double-not-elim :args (@t146)) % 158.23/158.63 (step @p243 :rule refl :args (@t148)) % 158.23/158.63 (step @p244 :rule refl :args (@t155)) % 158.23/158.63 (step @p245 :rule nary_cong :premises (@p244 @p243 @p242) :args ((or @t155 @t148 (not @t147)))) % 158.23/158.63 (step @p246 :rule cnf_equiv_pos2 :args (@t151)) % 158.23/158.63 (step @p247 :rule eq_resolve :premises (@p246 @p245)) % 158.23/158.63 (step @p248 :rule reordering :premises (@p247) :args ((or @t148 @t146 @t155))) % 158.23/158.63 (step @p249 :rule chain_m_resolution :premises (@p248 @p241 @p214) :args (@t146 @t152 (@list @t148 @t151))) % 158.23/158.63 (assume-push @p271 @t146) % 158.23/158.63 (step @p251 :rule instantiate :premises (@p271) :args (@t105)) % 158.23/158.63 (step-pop @p272 :rule scope :premises (@p251)) % 158.23/158.63 (step @p252 :rule process_scope :premises (@p272) :args (@t124)) % 158.23/158.63 (step @p254 :rule implies_elim :premises (@p252)) % 158.23/158.63 (step @p255 :rule reordering :premises (@p254) :args ((or @t124 @t147))) % 158.23/158.63 (step @p256 false :rule chain_m_resolution :premises (@p255 @p249 @p155) :args (false @t104 (@list @t146 @t123))) % 158.23/158.63 ) % 158.23/158.63 % SZS output end Proof % 158.23/158.63 % cvc5 exiting %------------------------------------------------------------------------------