%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU008+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:50:26 AM UTC 2026 % Result : Theorem 16.03s 16.25s % Output : Proof 16.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU008+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n022.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:22:53 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 16.03/16.25 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.03/16.25 --- Run --no-e-matching --full-saturate-quant at 6... % 16.03/16.25 % SZS status Theorem % 16.03/16.25 % SZS output start Proof % 16.03/16.25 ( % 16.03/16.25 (declare-sort $$unsorted 0) % 16.03/16.25 (declare-const tptp.empty (-> $$unsorted Bool)) % 16.03/16.25 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 16.03/16.25 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.25 (declare-const tptp.relation (-> $$unsorted Bool)) % 16.03/16.25 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.25 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 16.03/16.25 (declare-const tptp.function (-> $$unsorted Bool)) % 16.03/16.25 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 16.03/16.25 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.25 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 16.03/16.25 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 16.03/16.25 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 16.03/16.25 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 16.03/16.25 (declare-const tptp.empty_set $$unsorted) % 16.03/16.25 (define @t1 () (@var "A" $$unsorted)) % 16.03/16.25 (define @t2 () (@var "B" $$unsorted)) % 16.03/16.25 (define @t3 () (tptp.in @t1 @t2)) % 16.03/16.25 (define @t4 () (@list @t1 @t2)) % 16.03/16.25 (define @t5 () (tptp.function @t1)) % 16.03/16.25 (define @t6 () (tptp.empty @t1)) % 16.03/16.25 (define @t7 () (@list @t1)) % 16.03/16.25 (define @t8 () (tptp.relation @t1)) % 16.03/16.25 (define @t9 () (tptp.set_intersection2 @t1 @t2)) % 16.03/16.25 (define @t10 () (@var "D" $$unsorted)) % 16.03/16.25 (define @t11 () (@var "C" $$unsorted)) % 16.03/16.25 (define @t12 () (@list @t10)) % 16.03/16.25 (define @t13 () (forall @t12 (= (tptp.in @t10 @t11) (and (tptp.in @t10 @t1) (tptp.in @t10 @t2))))) % 16.03/16.25 (define @t14 () (= (= @t11 @t9) @t13)) % 16.03/16.25 (define @t15 () (@list @t1 @t2 @t11)) % 16.03/16.25 (define @t16 () (forall @t15 @t14)) % 16.03/16.25 (define @t17 () (tptp.relation_composition @t1 @t2)) % 16.03/16.25 (define @t18 () (tptp.relation @t17)) % 16.03/16.25 (define @t19 () (tptp.relation @t2)) % 16.03/16.25 (define @t20 () (and @t8 @t19)) % 16.03/16.25 (define @t21 () (tptp.identity_relation @t1)) % 16.03/16.25 (define @t22 () (tptp.relation @t21)) % 16.03/16.25 (define @t23 () (forall @t7 @t22)) % 16.03/16.25 (define @t24 () (@list @t2)) % 16.03/16.25 (define @t25 () (tptp.relation_composition @t2 @t1)) % 16.03/16.25 (define @t26 () (and @t6 @t19)) % 16.03/16.25 (define @t27 () (tptp.relation tptp.empty_set)) % 16.03/16.25 (define @t28 () (tptp.empty tptp.empty_set)) % 16.03/16.25 (define @t29 () (tptp.function @t2)) % 16.03/16.25 (define @t30 () (tptp.powerset @t1)) % 16.03/16.25 (define @t31 () (tptp.function @t21)) % 16.03/16.25 (define @t32 () (forall @t7 (and @t22 @t31))) % 16.03/16.25 (define @t33 () (tptp.relation_dom @t1)) % 16.03/16.25 (define @t34 () (tptp.empty @t33)) % 16.03/16.25 (define @t35 () (not @t6)) % 16.03/16.25 (define @t36 () (and @t35 @t8)) % 16.03/16.25 (define @t37 () (tptp.empty @t2)) % 16.03/16.25 (define @t38 () (tptp.element @t2 @t30)) % 16.03/16.25 (define @t39 () (tptp.element @t1 @t2)) % 16.03/16.25 (define @t40 () (tptp.apply @t2 @t1)) % 16.03/16.25 (define @t41 () (= (tptp.apply (tptp.relation_composition @t2 @t11) @t1) (tptp.apply @t11 @t40))) % 16.03/16.25 (define @t42 () (tptp.relation_dom @t2)) % 16.03/16.25 (define @t43 () (tptp.in @t1 @t42)) % 16.03/16.25 (define @t44 () (=> @t43 @t41)) % 16.03/16.25 (define @t45 () (tptp.function @t11)) % 16.03/16.25 (define @t46 () (tptp.relation @t11)) % 16.03/16.25 (define @t47 () (and @t46 @t45)) % 16.03/16.25 (define @t48 () (@list @t11)) % 16.03/16.25 (define @t49 () (forall @t48 (=> @t47 @t44))) % 16.03/16.25 (define @t50 () (and @t19 @t29)) % 16.03/16.25 (define @t51 () (=> @t50 @t49)) % 16.03/16.25 (define @t52 () (forall @t4 @t51)) % 16.03/16.25 (define @t53 () (tptp.apply @t2 @t11)) % 16.03/16.25 (define @t54 () (tptp.in @t11 @t1)) % 16.03/16.25 (define @t55 () (=> @t54 (= @t53 @t11))) % 16.03/16.25 (define @t56 () (forall @t48 @t55)) % 16.03/16.25 (define @t57 () (and (= @t42 @t1) @t56)) % 16.03/16.25 (define @t58 () (= @t2 @t21)) % 16.03/16.25 (define @t59 () (= @t58 @t57)) % 16.03/16.25 (define @t60 () (=> @t50 @t59)) % 16.03/16.25 (define @t61 () (forall @t4 @t60)) % 16.03/16.25 (define @t62 () (= (tptp.apply @t11 @t2) (tptp.apply (tptp.relation_composition @t21 @t11) @t2))) % 16.03/16.25 (define @t63 () (tptp.in @t2 (tptp.set_intersection2 (tptp.relation_dom @t11) @t1))) % 16.03/16.25 (define @t64 () (=> @t63 @t62)) % 16.03/16.25 (define @t65 () (forall @t15 (=> @t47 @t64))) % 16.03/16.25 (define @t66 () (not @t65)) % 16.03/16.25 (define @t67 () (tptp.element @t2 (tptp.powerset @t11))) % 16.03/16.25 (define @t68 () (not @t63)) % 16.03/16.25 (define @t69 () (not @t45)) % 16.03/16.25 (define @t70 () (not @t46)) % 16.03/16.25 (define @t71 () (or @t70 @t69 @t68 @t62)) % 16.03/16.25 (define @t72 () (or @t70 @t69)) % 16.03/16.25 (define @t73 () (not @t47)) % 16.03/16.25 (define @t74 () (forall @t15 @t71)) % 16.03/16.25 (define @t75 () (@quantifiers_skolemize @t74 2)) % 16.03/16.25 (define @t76 () (tptp.relation @t75)) % 16.03/16.25 (define @t77 () (@quantifiers_skolemize @t74 1)) % 16.03/16.25 (define @t78 () (@quantifiers_skolemize @t74 0)) % 16.03/16.25 (define @t79 () (tptp.identity_relation @t78)) % 16.03/16.25 (define @t80 () (tptp.apply (tptp.relation_composition @t79 @t75) @t77)) % 16.03/16.25 (define @t81 () (= (tptp.apply @t75 @t77) @t80)) % 16.03/16.25 (define @t82 () (tptp.relation_dom @t75)) % 16.03/16.25 (define @t83 () (tptp.set_intersection2 @t82 @t78)) % 16.03/16.25 (define @t84 () (tptp.in @t77 @t83)) % 16.03/16.25 (define @t85 () (not @t84)) % 16.03/16.25 (define @t86 () (tptp.function @t75)) % 16.03/16.25 (define @t87 () (not @t86)) % 16.03/16.25 (define @t88 () (not @t76)) % 16.03/16.25 (define @t89 () (or @t88 @t87 @t85 @t81)) % 16.03/16.25 (define @t90 () (@list true)) % 16.03/16.25 (define @t91 () (@list @t89)) % 16.03/16.25 (define @t92 () (@list @t78)) % 16.03/16.25 (define @t93 () (forall @t7 @t31)) % 16.03/16.25 (define @t94 () (@list @t1)) % 16.03/16.25 (define @t95 () (and @t23 @t93)) % 16.03/16.25 (define @t96 () (@var "BOUND_VARIABLE_7762" $$unsorted)) % 16.03/16.25 (define @t97 () (= (tptp.apply (tptp.relation_composition @t2 @t96) @t1) (tptp.apply @t96 @t40))) % 16.03/16.25 (define @t98 () (not (tptp.function @t96))) % 16.03/16.25 (define @t99 () (not (tptp.relation @t96))) % 16.03/16.25 (define @t100 () (not @t43)) % 16.03/16.25 (define @t101 () (not @t29)) % 16.03/16.25 (define @t102 () (not @t19)) % 16.03/16.25 (define @t103 () (or @t99 @t98 @t97)) % 16.03/16.25 (define @t104 () (or @t102 @t101 @t100 @t103)) % 16.03/16.25 (define @t105 () (forall (@list @t1 @t2 @t96) @t104)) % 16.03/16.25 (define @t106 () (@list @t96)) % 16.03/16.25 (define @t107 () (forall @t106 @t104)) % 16.03/16.25 (define @t108 () (forall @t106 @t103)) % 16.03/16.25 (define @t109 () (or @t102 @t101 @t100 @t108)) % 16.03/16.25 (define @t110 () (or @t70 @t69 @t41)) % 16.03/16.25 (define @t111 () (forall @t48 @t110)) % 16.03/16.25 (define @t112 () (or @t102 @t101 @t100 @t111)) % 16.03/16.25 (define @t113 () (or @t100 @t111)) % 16.03/16.25 (define @t114 () (or @t102 @t101)) % 16.03/16.25 (define @t115 () (not @t50)) % 16.03/16.25 (define @t116 () (or @t100 @t110)) % 16.03/16.25 (define @t117 () (or @t70 @t69 @t100 @t41)) % 16.03/16.25 (define @t118 () (tptp.apply @t79 @t77)) % 16.03/16.25 (define @t119 () (tptp.apply @t75 @t118)) % 16.03/16.25 (define @t120 () (= @t80 @t119)) % 16.03/16.25 (define @t121 () (= @t119 @t80)) % 16.03/16.25 (define @t122 () (= @t11 @t53)) % 16.03/16.25 (define @t123 () (= @t58 (and (= @t1 @t42) (forall @t48 (or (not @t54) @t122))))) % 16.03/16.25 (define @t124 () (or @t102 @t101 @t123)) % 16.03/16.25 (define @t125 () (forall @t48 (or (not (tptp.in @t11 @t78)) (= @t11 (tptp.apply @t79 @t11))))) % 16.03/16.25 (define @t126 () (tptp.relation_dom @t79)) % 16.03/16.25 (define @t127 () (= @t78 @t126)) % 16.03/16.25 (define @t128 () (and @t127 @t125)) % 16.03/16.25 (define @t129 () (= (= @t79 @t79) @t128)) % 16.03/16.25 (define @t130 () (tptp.function @t79)) % 16.03/16.25 (define @t131 () (not @t130)) % 16.03/16.25 (define @t132 () (tptp.relation @t79)) % 16.03/16.25 (define @t133 () (not @t132)) % 16.03/16.25 (define @t134 () (or @t133 @t131 @t129)) % 16.03/16.25 (define @t135 () (forall @t4 @t124)) % 16.03/16.25 (define @t136 () (or @t133 @t131 @t128)) % 16.03/16.25 (define @t137 () (@list false)) % 16.03/16.25 (define @t138 () (not @t128)) % 16.03/16.25 (define @t139 () (@list @t128)) % 16.03/16.25 (define @t140 () (@list @t77)) % 16.03/16.25 (define @t141 () (= @t9 @t11)) % 16.03/16.25 (define @t142 () (forall @t12 (= (tptp.in @t10 @t83) (and (tptp.in @t10 @t82) (tptp.in @t10 @t78))))) % 16.03/16.25 (define @t143 () (= @t142 (= @t83 @t83))) % 16.03/16.25 (define @t144 () (forall @t15 (= @t13 @t141))) % 16.03/16.25 (define @t145 () (tptp.in @t77 @t78)) % 16.03/16.25 (define @t146 () (and (tptp.in @t77 @t82) @t145)) % 16.03/16.25 (define @t147 () (= @t84 @t146)) % 16.03/16.25 (define @t148 () (@list false false)) % 16.03/16.25 (define @t149 () (= @t77 @t118)) % 16.03/16.25 (define @t150 () (not @t145)) % 16.03/16.25 (define @t151 () (or @t150 @t149)) % 16.03/16.25 (define @t152 () (tptp.in @t77 @t126)) % 16.03/16.25 (define @t153 () (not @t152)) % 16.03/16.25 (define @t154 () (or @t133 @t131 @t153 @t88 @t87 @t120)) % 16.03/16.25 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 16.03/16.25 (assume @p2 (forall @t7 (=> @t6 @t5))) % 16.03/16.25 (assume @p3 (forall @t7 (=> @t6 @t8))) % 16.03/16.25 (assume @p4 (forall @t4 (= @t9 (tptp.set_intersection2 @t2 @t1)))) % 16.03/16.25 (assume @p5 @t16) % 16.03/16.25 (assume @p6 (forall @t4 (=> @t20 @t18))) % 16.03/16.25 (assume @p7 @t23) % 16.03/16.25 (assume @p8 (forall @t7 (exists @t24 (tptp.element @t2 @t1)))) % 16.03/16.25 (assume @p9 (forall @t4 (=> @t26 (and (tptp.empty @t25) (tptp.relation @t25))))) % 16.03/16.25 (assume @p10 (and @t28 @t27 (tptp.relation_empty_yielding tptp.empty_set))) % 16.03/16.25 (assume @p11 (forall @t4 (=> (and @t8 @t5 @t19 @t29) (and @t18 (tptp.function @t17))))) % 16.03/16.25 (assume @p12 (forall @t4 (=> @t20 (tptp.relation @t9)))) % 16.03/16.25 (assume @p13 (forall @t7 (not (tptp.empty @t30)))) % 16.03/16.25 (assume @p14 @t28) % 16.03/16.25 (assume @p15 @t32) % 16.03/16.25 (assume @p16 (and @t28 @t27)) % 16.03/16.25 (assume @p17 (forall @t7 (=> @t36 (not @t34)))) % 16.03/16.25 (assume @p18 (forall @t7 (=> @t6 (and @t34 (tptp.relation @t33))))) % 16.03/16.25 (assume @p19 (forall @t4 (=> @t26 (and (tptp.empty @t17) @t18)))) % 16.03/16.25 (assume @p20 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 16.03/16.25 (assume @p21 (exists @t7 (and @t8 @t5))) % 16.03/16.25 (assume @p22 (exists @t7 (and @t6 @t8))) % 16.03/16.25 (assume @p23 (forall @t7 (=> @t35 (exists @t24 (and @t38 (not @t37)))))) % 16.03/16.25 (assume @p24 (exists @t7 @t6)) % 16.03/16.25 (assume @p25 (exists @t7 @t36)) % 16.03/16.25 (assume @p26 (forall @t7 (exists @t24 (and @t38 @t37)))) % 16.03/16.25 (assume @p27 (exists @t7 @t35)) % 16.03/16.25 (assume @p28 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 16.03/16.25 (assume @p29 (forall @t4 (tptp.subset @t1 @t1))) % 16.03/16.25 (assume @p30 (forall @t4 (=> @t3 @t39))) % 16.03/16.25 (assume @p31 @t52) % 16.03/16.25 (assume @p32 (forall @t7 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 16.03/16.25 (assume @p33 (forall @t4 (=> @t39 (or @t37 @t3)))) % 16.03/16.25 (assume @p34 @t61) % 16.03/16.25 (assume @p35 @t66) % 16.03/16.25 (assume @p36 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 16.03/16.25 (assume @p37 (forall @t15 (=> (and @t3 @t67) (tptp.element @t1 @t11)))) % 16.03/16.25 (assume @p38 (forall @t15 (not (and @t3 @t67 (tptp.empty @t11))))) % 16.03/16.25 (assume @p39 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 16.03/16.25 (assume @p40 (forall @t4 (not (and @t3 @t37)))) % 16.03/16.25 (assume @p41 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t37)))) % 16.03/16.25 (assume @p42 true) % 16.03/16.25 (step @p43 :rule aci_norm :args ((= (or @t72 (or @t68 @t62)) @t71))) % 16.03/16.25 (step @p44 :rule bool-impl-elim :args (@t63 @t62)) % 16.03/16.25 (step @p45 :rule bool-and-de-morgan :args (@t46 @t45 true)) % 16.03/16.25 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t73 @t64))) % 16.03/16.25 (step @p47 :rule trans :premises (@p46 @p43)) % 16.03/16.25 (step @p48 :rule bool-impl-elim :args (@t47 @t64)) % 16.03/16.25 (step @p49 :rule trans :premises (@p48 @p47)) % 16.03/16.25 (step @p50 :rule cong :premises (@p49) :args (@t65)) % 16.03/16.25 (step @p51 :rule cong :premises (@p50) :args (@t66)) % 16.03/16.25 (step @p52 :rule eq_resolve :premises (@p35 @p51)) % 16.03/16.25 (step @p53 :rule skolemize :premises (@p52)) % 16.03/16.25 (step @p54 :rule bool-double-not-elim :args (@t76)) % 16.03/16.25 (step @p55 :rule refl :args (@t89)) % 16.03/16.25 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t89 (not @t88)))) % 16.03/16.25 (step @p57 :rule cnf_or_neg :args (@t89 0)) % 16.03/16.25 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 16.03/16.25 (step @p59 :rule reordering :premises (@p58) :args ((or @t76 @t89))) % 16.03/16.25 (step @p60 :rule chain_m_resolution :premises (@p59 @p53) :args (@t76 @t90 @t91)) % 16.03/16.25 (step @p61 :rule bool-double-not-elim :args (@t86)) % 16.03/16.25 (step @p62 :rule nary_cong :premises (@p55 @p61) :args ((or @t89 (not @t87)))) % 16.03/16.25 (step @p63 :rule cnf_or_neg :args (@t89 1)) % 16.03/16.25 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 16.03/16.25 (step @p65 :rule reordering :premises (@p64) :args ((or @t86 @t89))) % 16.03/16.25 (step @p66 :rule chain_m_resolution :premises (@p65 @p53) :args (@t86 @t90 @t91)) % 16.03/16.25 (step @p67 :rule instantiate :premises (@p7) :args (@t92)) % 16.03/16.25 (step @p68 :rule alpha_equiv :args (@t93 @t94 (@list (@var "BOUND_VARIABLE_7661" $$unsorted)))) % 16.03/16.25 (step @p69 :rule alpha_equiv :args (@t23 @t94 (@list (@var "BOUND_VARIABLE_7655" $$unsorted)))) % 16.03/16.25 (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t95)) % 16.03/16.25 (step @p71 :rule quant-miniscope-and :args ((= @t32 @t95))) % 16.03/16.25 (step @p72 :rule trans :premises (@p71 @p70)) % 16.03/16.25 (step @p73 :rule eq_resolve :premises (@p15 @p72)) % 16.03/16.25 (step @p74 :rule and_elim :premises (@p73) :args (1)) % 16.03/16.25 (step @p75 :rule instantiate :premises (@p74) :args (@t92)) % 16.03/16.25 (step @p76 :rule aci_norm :args ((= @t104 (or @t102 @t101 @t100 @t99 @t98 @t97)))) % 16.03/16.25 (step @p77 :rule cong :premises (@p76) :args (@t105)) % 16.03/16.25 (step @p78 :rule quant-merge-prenex :args ((= (forall @t4 @t107) @t105))) % 16.03/16.25 (step @p79 :rule alpha_equiv :args (@t108 (@list @t96) (@list @t11))) % 16.03/16.25 (step @p80 :rule refl :args (@t100)) % 16.03/16.25 (step @p81 :rule refl :args (@t101)) % 16.03/16.25 (step @p82 :rule refl :args (@t102)) % 16.03/16.25 (step @p83 :rule nary_cong :premises (@p82 @p81 @p80 @p79) :args (@t109)) % 16.03/16.25 (step @p84 :rule quant-miniscope-or :args ((= @t107 @t109))) % 16.03/16.25 (step @p85 :rule trans :premises (@p84 @p83)) % 16.03/16.25 (step @p86 :rule symm :premises (@p85)) % 16.03/16.25 (step @p87 :rule cong :premises (@p86) :args ((forall @t4 @t112))) % 16.03/16.25 (step @p88 :rule trans :premises (@p87 @p78)) % 16.03/16.25 (step @p89 :rule trans :premises (@p88 @p77)) % 16.03/16.25 (step @p90 :rule aci_norm :args ((= (or @t114 @t113) @t112))) % 16.03/16.25 (step @p91 :rule refl :args (@t113)) % 16.03/16.25 (step @p92 :rule bool-and-de-morgan :args (@t19 @t29 true)) % 16.03/16.25 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t115 @t113))) % 16.03/16.25 (step @p94 :rule trans :premises (@p93 @p90)) % 16.03/16.25 (step @p95 :rule bool-impl-elim :args (@t50 @t113)) % 16.03/16.25 (step @p96 :rule trans :premises (@p95 @p94)) % 16.03/16.25 (step @p97 :rule cong :premises (@p96) :args ((forall @t4 (=> @t50 @t113)))) % 16.03/16.25 (step @p98 :rule trans :premises (@p97 @p89)) % 16.03/16.25 (step @p99 :rule quant-miniscope-or :args ((= (forall @t48 @t116) @t113))) % 16.03/16.25 (step @p100 :rule aci_norm :args ((= @t117 @t116))) % 16.03/16.25 (step @p101 :rule cong :premises (@p100) :args ((forall @t48 @t117))) % 16.03/16.25 (step @p102 :rule trans :premises (@p101 @p99)) % 16.03/16.25 (step @p103 :rule aci_norm :args ((= (or @t72 (or @t100 @t41)) @t117))) % 16.03/16.25 (step @p104 :rule bool-impl-elim :args (@t43 @t41)) % 16.03/16.25 (step @p105 :rule nary_cong :premises (@p45 @p104) :args ((or @t73 @t44))) % 16.03/16.25 (step @p106 :rule trans :premises (@p105 @p103)) % 16.03/16.25 (step @p107 :rule bool-impl-elim :args (@t47 @t44)) % 16.03/16.25 (step @p108 :rule trans :premises (@p107 @p106)) % 16.03/16.25 (step @p109 :rule cong :premises (@p108) :args (@t49)) % 16.03/16.25 (step @p110 :rule trans :premises (@p109 @p102)) % 16.03/16.25 (step @p111 :rule refl :args (@t50)) % 16.03/16.25 (step @p112 :rule cong :premises (@p111 @p110) :args (@t51)) % 16.03/16.25 (step @p113 :rule cong :premises (@p112) :args (@t52)) % 16.03/16.25 (step @p114 :rule trans :premises (@p113 @p98)) % 16.03/16.25 (step @p115 :rule eq_resolve :premises (@p31 @p114)) % 16.03/16.25 (step @p116 :rule instantiate :premises (@p115) :args ((@list @t77 @t79 @t75))) % 16.03/16.25 (step @p117 :rule bool-eq-false :args (@t120)) % 16.03/16.25 (step @p118 :rule symm :premises (@p117)) % 16.03/16.25 (step @p119 :rule eq-symm :args (@t119 @t80)) % 16.03/16.25 (step @p120 :rule cong :premises (@p119) :args ((not @t121))) % 16.03/16.25 (step @p121 :rule bool-eq-false :args (@t121)) % 16.03/16.25 (step @p122 :rule trans :premises (@p121 @p120)) % 16.03/16.25 (step @p123 :rule trans :premises (@p122 @p118)) % 16.03/16.25 (step @p124 :rule cnf_or_neg :args (@t89 3)) % 16.03/16.25 (step @p125 :rule chain_m_resolution :premises (@p124 @p53) :args ((not @t81) @t90 @t91)) % 16.03/16.25 (step @p126 :rule false_intro :premises (@p125)) % 16.03/16.25 (step @p127 :rule refl :args (@t80)) % 16.03/16.25 (step @p128 :rule aci_norm :args ((= (or @t114 @t123) @t124))) % 16.03/16.25 (step @p129 :rule refl :args (@t123)) % 16.03/16.25 (step @p130 :rule nary_cong :premises (@p92 @p129) :args ((or @t115 @t123))) % 16.03/16.25 (step @p131 :rule trans :premises (@p130 @p128)) % 16.03/16.25 (step @p132 :rule bool-impl-elim :args (@t50 @t123)) % 16.03/16.25 (step @p133 :rule trans :premises (@p132 @p131)) % 16.03/16.25 (step @p134 :rule cong :premises (@p133) :args ((forall @t4 (=> @t50 @t123)))) % 16.03/16.25 (step @p135 :rule bool-impl-elim :args (@t54 @t122)) % 16.03/16.25 (step @p136 :rule cong :premises (@p135) :args ((forall @t48 (=> @t54 @t122)))) % 16.03/16.25 (step @p137 :rule eq-symm :args (@t53 @t11)) % 16.03/16.25 (step @p138 :rule refl :args (@t54)) % 16.03/16.25 (step @p139 :rule cong :premises (@p138 @p137) :args (@t55)) % 16.03/16.25 (step @p140 :rule cong :premises (@p139) :args (@t56)) % 16.03/16.25 (step @p141 :rule trans :premises (@p140 @p136)) % 16.03/16.25 (step @p142 :rule eq-symm :args (@t42 @t1)) % 16.03/16.25 (step @p143 :rule nary_cong :premises (@p142 @p141) :args (@t57)) % 16.03/16.25 (step @p144 :rule refl :args (@t58)) % 16.03/16.25 (step @p145 :rule cong :premises (@p144 @p143) :args (@t59)) % 16.03/16.25 (step @p146 :rule cong :premises (@p111 @p145) :args (@t60)) % 16.03/16.25 (step @p147 :rule cong :premises (@p146) :args (@t61)) % 16.03/16.25 (step @p148 :rule trans :premises (@p147 @p134)) % 16.03/16.25 (step @p149 :rule eq_resolve :premises (@p34 @p148)) % 16.03/16.25 (step @p150 :rule bool-eq-true :args (@t128)) % 16.03/16.25 (step @p151 :rule eq-symm :args (true @t128)) % 16.03/16.25 (step @p152 :rule trans :premises (@p151 @p150)) % 16.03/16.25 (step @p153 :rule refl :args (@t128)) % 16.03/16.25 (step @p154 :rule eq-refl :args (@t79)) % 16.03/16.25 (step @p155 :rule cong :premises (@p154 @p153) :args (@t129)) % 16.03/16.25 (step @p156 :rule trans :premises (@p155 @p152)) % 16.03/16.25 (step @p157 :rule refl :args (@t131)) % 16.03/16.25 (step @p158 :rule refl :args (@t133)) % 16.03/16.25 (step @p159 :rule nary_cong :premises (@p158 @p157 @p156) :args (@t134)) % 16.03/16.25 (step @p160 :rule refl :args (@t135)) % 16.03/16.25 (step @p161 :rule cong :premises (@p160 @p159) :args ((=> @t135 @t134))) % 16.03/16.25 (assume-push @p232 @t135) % 16.03/16.25 (step @p163 :rule instantiate :premises (@p149) :args ((@list @t78 @t79))) % 16.03/16.25 (step-pop @p233 :rule scope :premises (@p163)) % 16.03/16.25 (step @p164 :rule process_scope :premises (@p233) :args (@t134)) % 16.03/16.25 (step @p166 :rule eq_resolve :premises (@p164 @p161)) % 16.03/16.25 (step @p167 :rule implies_elim :premises (@p166)) % 16.03/16.25 (step @p168 :rule chain_m_resolution :premises (@p167 @p149) :args (@t136 @t137 (@list @t135))) % 16.03/16.25 (step @p169 :rule cnf_or_pos :args (@t136)) % 16.03/16.25 (step @p170 :rule reordering :premises (@p169) :args ((or @t133 @t131 @t128 (not @t136)))) % 16.03/16.25 (step @p171 :rule chain_m_resolution :premises (@p170 @p67 @p75 @p168) :args (@t128 (@list false false false) (@list @t132 @t130 @t136))) % 16.03/16.25 (step @p172 :rule cnf_and_pos :args (@t128 1)) % 16.03/16.25 (step @p173 :rule reordering :premises (@p172) :args ((or @t125 @t138))) % 16.03/16.25 (step @p174 :rule chain_m_resolution :premises (@p173 @p171) :args (@t125 @t137 @t139)) % 16.03/16.25 (step @p175 :rule instantiate :premises (@p174) :args (@t140)) % 16.03/16.25 (step @p176 :rule eq-symm :args (@t141 @t13)) % 16.03/16.25 (step @p177 :rule refl :args (@t13)) % 16.03/16.25 (step @p178 :rule eq-symm :args (@t11 @t9)) % 16.03/16.25 (step @p179 :rule cong :premises (@p178 @p177) :args (@t14)) % 16.03/16.25 (step @p180 :rule trans :premises (@p179 @p176)) % 16.03/16.25 (step @p181 :rule cong :premises (@p180) :args (@t16)) % 16.03/16.25 (step @p182 :rule eq_resolve :premises (@p5 @p181)) % 16.03/16.25 (step @p183 :rule bool-eq-true :args (@t142)) % 16.03/16.25 (step @p184 :rule eq-refl :args (@t83)) % 16.03/16.25 (step @p185 :rule refl :args (@t142)) % 16.03/16.25 (step @p186 :rule cong :premises (@p185 @p184) :args (@t143)) % 16.03/16.25 (step @p187 :rule trans :premises (@p186 @p183)) % 16.03/16.25 (step @p188 :rule refl :args (@t144)) % 16.03/16.25 (step @p189 :rule cong :premises (@p188 @p187) :args ((=> @t144 @t143))) % 16.03/16.25 (assume-push @p234 @t144) % 16.03/16.25 (step @p191 :rule instantiate :premises (@p182) :args ((@list @t82 @t78 @t83))) % 16.03/16.25 (step-pop @p235 :rule scope :premises (@p191)) % 16.03/16.25 (step @p192 :rule process_scope :premises (@p235) :args (@t143)) % 16.03/16.25 (step @p194 :rule eq_resolve :premises (@p192 @p189)) % 16.03/16.25 (step @p195 :rule implies_elim :premises (@p194)) % 16.03/16.25 (step @p196 :rule chain_m_resolution :premises (@p195 @p182) :args (@t142 @t137 (@list @t144))) % 16.03/16.25 (step @p197 :rule instantiate :premises (@p196) :args (@t140)) % 16.03/16.25 (step @p198 :rule bool-double-not-elim :args (@t84)) % 16.03/16.25 (step @p199 :rule nary_cong :premises (@p55 @p198) :args ((or @t89 (not @t85)))) % 16.03/16.25 (step @p200 :rule cnf_or_neg :args (@t89 2)) % 16.03/16.25 (step @p201 :rule eq_resolve :premises (@p200 @p199)) % 16.03/16.25 (step @p202 :rule reordering :premises (@p201) :args ((or @t84 @t89))) % 16.03/16.25 (step @p203 :rule chain_m_resolution :premises (@p202 @p53) :args (@t84 @t90 @t91)) % 16.03/16.25 (step @p204 :rule cnf_equiv_pos1 :args (@t147)) % 16.03/16.25 (step @p205 :rule reordering :premises (@p204) :args ((or @t85 @t146 (not @t147)))) % 16.03/16.25 (step @p206 :rule chain_m_resolution :premises (@p205 @p203 @p197) :args (@t146 @t148 (@list @t84 @t147))) % 16.03/16.25 (step @p207 :rule cnf_and_pos :args (@t146 1)) % 16.03/16.25 (step @p208 :rule reordering :premises (@p207) :args ((or @t145 (not @t146)))) % 16.03/16.25 (step @p209 :rule chain_m_resolution :premises (@p208 @p206) :args (@t145 @t137 (@list @t146))) % 16.03/16.25 (step @p210 :rule cnf_or_pos :args (@t151)) % 16.03/16.25 (step @p211 :rule reordering :premises (@p210) :args ((or @t150 @t149 (not @t151)))) % 16.03/16.25 (step @p212 :rule chain_m_resolution :premises (@p211 @p209 @p175) :args (@t149 @t148 (@list @t145 @t151))) % 16.03/16.25 (step @p213 :rule symm :premises (@p212)) % 16.03/16.25 (step @p214 :rule refl :args (@t75)) % 16.03/16.25 (step @p215 :rule cong :premises (@p214 @p213) :args (@t119)) % 16.03/16.25 (step @p216 :rule cong :premises (@p215 @p127) :args (@t121)) % 16.03/16.25 (step @p217 :rule trans :premises (@p216 @p126)) % 16.03/16.25 (step @p218 :rule eq_resolve :premises (@p217 @p123)) % 16.03/16.25 (step @p219 :rule false_elim :premises (@p218)) % 16.03/16.25 (step @p220 :rule true_intro :premises (@p209)) % 16.03/16.25 (step @p221 :rule cnf_and_pos :args (@t128 0)) % 16.03/16.25 (step @p222 :rule reordering :premises (@p221) :args ((or @t127 @t138))) % 16.03/16.25 (step @p223 :rule chain_m_resolution :premises (@p222 @p171) :args (@t127 @t137 @t139)) % 16.03/16.25 (step @p224 :rule symm :premises (@p223)) % 16.03/16.25 (step @p225 :rule refl :args (@t77)) % 16.03/16.25 (step @p226 :rule cong :premises (@p225 @p224) :args (@t152)) % 16.03/16.25 (step @p227 :rule trans :premises (@p226 @p220)) % 16.03/16.25 (step @p228 :rule true_elim :premises (@p227)) % 16.03/16.25 (step @p229 :rule cnf_or_pos :args (@t154)) % 16.03/16.25 (step @p230 :rule reordering :premises (@p229) :args ((or @t88 @t87 @t133 @t131 @t153 @t120 (not @t154)))) % 16.03/16.25 (step @p231 false :rule chain_m_resolution :premises (@p230 @p228 @p219 @p116 @p75 @p67 @p66 @p60) :args (false (@list false true false false false false false) (@list @t152 @t120 @t154 @t130 @t132 @t86 @t76))) % 16.03/16.25 ) % 16.03/16.25 % SZS output end Proof % 16.03/16.25 % cvc5 exiting %------------------------------------------------------------------------------