%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU212+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:50:58 AM UTC 2026 % Result : Theorem 16.19s 16.41s % Output : Proof 16.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU212+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.33 % Computer : n018.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % 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 16:40:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 16.19/16.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.19/16.41 --- Run --no-e-matching --full-saturate-quant at 6... % 16.19/16.41 % SZS status Theorem % 16.19/16.41 % SZS output start Proof % 16.19/16.41 ( % 16.19/16.41 (declare-sort $$unsorted 0) % 16.19/16.41 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 16.19/16.41 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 16.19/16.41 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 16.19/16.41 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 16.19/16.41 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 16.19/16.41 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 16.19/16.41 (declare-const tptp.relation (-> $$unsorted Bool)) % 16.19/16.41 (declare-const tptp.empty (-> $$unsorted Bool)) % 16.19/16.41 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 16.19/16.41 (declare-const tptp.function (-> $$unsorted Bool)) % 16.19/16.41 (declare-const tptp.empty_set $$unsorted) % 16.19/16.41 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 16.19/16.41 (define @t1 () (@var "A" $$unsorted)) % 16.19/16.41 (define @t2 () (@var "B" $$unsorted)) % 16.19/16.41 (define @t3 () (tptp.in @t1 @t2)) % 16.19/16.41 (define @t4 () (@list @t1 @t2)) % 16.19/16.41 (define @t5 () (tptp.function @t1)) % 16.19/16.41 (define @t6 () (tptp.empty @t1)) % 16.19/16.41 (define @t7 () (@list @t1)) % 16.19/16.41 (define @t8 () (tptp.relation @t1)) % 16.19/16.41 (define @t9 () (tptp.unordered_pair @t1 @t2)) % 16.19/16.41 (define @t10 () (@var "C" $$unsorted)) % 16.19/16.41 (define @t11 () (= @t10 (tptp.apply @t1 @t2))) % 16.19/16.41 (define @t12 () (= @t11 (= @t10 tptp.empty_set))) % 16.19/16.41 (define @t13 () (tptp.relation_dom @t1)) % 16.19/16.41 (define @t14 () (tptp.in @t2 @t13)) % 16.19/16.41 (define @t15 () (not @t14)) % 16.19/16.41 (define @t16 () (=> @t15 @t12)) % 16.19/16.41 (define @t17 () (= @t11 (tptp.in (tptp.ordered_pair @t2 @t10) @t1))) % 16.19/16.41 (define @t18 () (=> @t14 @t17)) % 16.19/16.41 (define @t19 () (and @t18 @t16)) % 16.19/16.41 (define @t20 () (@list @t2 @t10)) % 16.19/16.41 (define @t21 () (forall @t20 @t19)) % 16.19/16.41 (define @t22 () (and @t8 @t5)) % 16.19/16.41 (define @t23 () (=> @t22 @t21)) % 16.19/16.41 (define @t24 () (forall @t7 @t23)) % 16.19/16.41 (define @t25 () (@var "D" $$unsorted)) % 16.19/16.41 (define @t26 () (tptp.ordered_pair @t10 @t25)) % 16.19/16.41 (define @t27 () (tptp.in @t26 @t1)) % 16.19/16.41 (define @t28 () (@list @t25)) % 16.19/16.41 (define @t29 () (exists @t28 @t27)) % 16.19/16.41 (define @t30 () (tptp.in @t10 @t2)) % 16.19/16.41 (define @t31 () (= @t30 @t29)) % 16.19/16.41 (define @t32 () (@list @t10)) % 16.19/16.41 (define @t33 () (forall @t32 @t31)) % 16.19/16.41 (define @t34 () (= @t2 @t13)) % 16.19/16.41 (define @t35 () (= @t34 @t33)) % 16.19/16.41 (define @t36 () (@list @t2)) % 16.19/16.41 (define @t37 () (forall @t36 @t35)) % 16.19/16.41 (define @t38 () (=> @t8 @t37)) % 16.19/16.41 (define @t39 () (forall @t7 @t38)) % 16.19/16.41 (define @t40 () (tptp.singleton @t1)) % 16.19/16.41 (define @t41 () (tptp.ordered_pair @t1 @t2)) % 16.19/16.41 (define @t42 () (tptp.relation tptp.empty_set)) % 16.19/16.41 (define @t43 () (tptp.empty tptp.empty_set)) % 16.19/16.41 (define @t44 () (tptp.empty @t13)) % 16.19/16.41 (define @t45 () (not @t6)) % 16.19/16.41 (define @t46 () (and @t45 @t8)) % 16.19/16.41 (define @t47 () (tptp.element @t1 @t2)) % 16.19/16.41 (define @t48 () (tptp.empty @t2)) % 16.19/16.41 (define @t49 () (= (tptp.in @t41 @t10) (and (tptp.in @t1 (tptp.relation_dom @t10)) (= @t2 (tptp.apply @t10 @t1))))) % 16.19/16.41 (define @t50 () (tptp.function @t10)) % 16.19/16.41 (define @t51 () (tptp.relation @t10)) % 16.19/16.41 (define @t52 () (and @t51 @t50)) % 16.19/16.41 (define @t53 () (@list @t1 @t2 @t10)) % 16.19/16.41 (define @t54 () (forall @t53 (=> @t52 @t49))) % 16.19/16.41 (define @t55 () (not @t54)) % 16.19/16.41 (define @t56 () (not @t50)) % 16.19/16.41 (define @t57 () (not @t51)) % 16.19/16.41 (define @t58 () (or @t57 @t56 @t49)) % 16.19/16.41 (define @t59 () (forall @t53 @t58)) % 16.19/16.41 (define @t60 () (@quantifiers_skolemize @t59 0)) % 16.19/16.41 (define @t61 () (@quantifiers_skolemize @t59 2)) % 16.19/16.41 (define @t62 () (@quantifiers_skolemize @t59 1)) % 16.19/16.41 (define @t63 () (= @t62 (tptp.apply @t61 @t60))) % 16.19/16.41 (define @t64 () (tptp.relation_dom @t61)) % 16.19/16.41 (define @t65 () (tptp.in @t60 @t64)) % 16.19/16.41 (define @t66 () (and @t65 @t63)) % 16.19/16.41 (define @t67 () (tptp.in (tptp.ordered_pair @t60 @t62) @t61)) % 16.19/16.41 (define @t68 () (= @t67 @t66)) % 16.19/16.41 (define @t69 () (tptp.function @t61)) % 16.19/16.41 (define @t70 () (not @t69)) % 16.19/16.41 (define @t71 () (tptp.relation @t61)) % 16.19/16.41 (define @t72 () (not @t71)) % 16.19/16.41 (define @t73 () (or @t72 @t70 @t68)) % 16.19/16.41 (define @t74 () (@list true)) % 16.19/16.41 (define @t75 () (@list @t73)) % 16.19/16.41 (define @t76 () (forall @t28 (not (tptp.in (tptp.ordered_pair @t60 @t25) @t61)))) % 16.19/16.41 (define @t77 () (not @t67)) % 16.19/16.41 (define @t78 () (not @t76)) % 16.19/16.41 (define @t79 () (@var "BOUND_VARIABLE_7642" $$unsorted)) % 16.19/16.41 (define @t80 () (tptp.in @t10 @t79)) % 16.19/16.41 (define @t81 () (not (forall @t28 (not @t27)))) % 16.19/16.41 (define @t82 () (forall @t32 (= @t80 @t81))) % 16.19/16.41 (define @t83 () (= (= @t79 @t13) @t82)) % 16.19/16.41 (define @t84 () (not @t8)) % 16.19/16.41 (define @t85 () (or @t84 @t83)) % 16.19/16.41 (define @t86 () (@list @t1 @t79)) % 16.19/16.41 (define @t87 () (forall @t86 @t85)) % 16.19/16.41 (define @t88 () (@list @t79)) % 16.19/16.41 (define @t89 () (forall @t88 @t85)) % 16.19/16.41 (define @t90 () (forall @t88 @t83)) % 16.19/16.41 (define @t91 () (or @t84 @t90)) % 16.19/16.41 (define @t92 () (forall @t36 (= @t34 (forall @t32 (= @t30 @t81))))) % 16.19/16.41 (define @t93 () (forall @t32 (= (not (forall @t28 (not (tptp.in @t26 @t61)))) (tptp.in @t10 @t64)))) % 16.19/16.41 (define @t94 () (= (= @t64 @t64) @t93)) % 16.19/16.41 (define @t95 () (or @t72 @t94)) % 16.19/16.41 (define @t96 () (forall @t86 (or @t84 (= (= @t13 @t79) (forall @t32 (= @t81 @t80)))))) % 16.19/16.41 (define @t97 () (or @t72 @t93)) % 16.19/16.41 (define @t98 () (@list false)) % 16.19/16.41 (define @t99 () (@list false false)) % 16.19/16.41 (define @t100 () (= @t78 @t65)) % 16.19/16.41 (define @t101 () (= @t65 @t78)) % 16.19/16.41 (define @t102 () (not @t101)) % 16.19/16.41 (define @t103 () (@var "BOUND_VARIABLE_7618" $$unsorted)) % 16.19/16.41 (define @t104 () (@var "BOUND_VARIABLE_7616" $$unsorted)) % 16.19/16.41 (define @t105 () (or (tptp.in @t104 @t13) (= (= @t103 (tptp.apply @t1 @t104)) (= tptp.empty_set @t103)))) % 16.19/16.41 (define @t106 () (@var "BOUND_VARIABLE_7606" $$unsorted)) % 16.19/16.41 (define @t107 () (@var "BOUND_VARIABLE_7604" $$unsorted)) % 16.19/16.41 (define @t108 () (or (not (tptp.in @t107 @t13)) (= (= @t106 (tptp.apply @t1 @t107)) (tptp.in (tptp.ordered_pair @t107 @t106) @t1)))) % 16.19/16.41 (define @t109 () (and @t108 @t105)) % 16.19/16.41 (define @t110 () (not @t5)) % 16.19/16.41 (define @t111 () (or @t84 @t110 @t109)) % 16.19/16.41 (define @t112 () (forall (@list @t1 @t107 @t106 @t104 @t103) @t111)) % 16.19/16.41 (define @t113 () (@list @t107 @t106 @t104 @t103)) % 16.19/16.41 (define @t114 () (forall @t113 @t111)) % 16.19/16.41 (define @t115 () (forall (@list @t104 @t103) @t105)) % 16.19/16.41 (define @t116 () (@var "BOUND_VARIABLE_7585" $$unsorted)) % 16.19/16.41 (define @t117 () (@var "BOUND_VARIABLE_7583" $$unsorted)) % 16.19/16.41 (define @t118 () (@list @t117 @t116)) % 16.19/16.41 (define @t119 () (forall @t113 @t105)) % 16.19/16.41 (define @t120 () (forall (@list @t107 @t106) @t108)) % 16.19/16.41 (define @t121 () (@var "BOUND_VARIABLE_7571" $$unsorted)) % 16.19/16.41 (define @t122 () (@var "BOUND_VARIABLE_7569" $$unsorted)) % 16.19/16.41 (define @t123 () (@list @t122 @t121)) % 16.19/16.41 (define @t124 () (forall @t113 @t108)) % 16.19/16.41 (define @t125 () (and @t124 @t119)) % 16.19/16.41 (define @t126 () (forall @t113 @t109)) % 16.19/16.41 (define @t127 () (or @t84 @t110 @t126)) % 16.19/16.41 (define @t128 () (and (forall (@list @t122 @t121) (or (not (tptp.in @t122 @t13)) (= (= @t121 (tptp.apply @t1 @t122)) (tptp.in (tptp.ordered_pair @t122 @t121) @t1)))) (forall (@list @t117 @t116) (or (tptp.in @t117 @t13) (= (= @t116 (tptp.apply @t1 @t117)) (= tptp.empty_set @t116)))))) % 16.19/16.41 (define @t129 () (or @t84 @t110 @t128)) % 16.19/16.41 (define @t130 () (= @t11 (= tptp.empty_set @t10))) % 16.19/16.41 (define @t131 () (or @t14 @t130)) % 16.19/16.41 (define @t132 () (forall @t20 @t131)) % 16.19/16.41 (define @t133 () (@list @t2 @t10)) % 16.19/16.41 (define @t134 () (or @t15 @t17)) % 16.19/16.41 (define @t135 () (forall @t20 @t134)) % 16.19/16.41 (define @t136 () (and @t135 @t132)) % 16.19/16.41 (define @t137 () (and @t18 (=> @t15 @t130))) % 16.19/16.41 (define @t138 () (= tptp.empty_set (tptp.apply @t61 tptp.empty_set))) % 16.19/16.41 (define @t139 () (= @t138 (= tptp.empty_set tptp.empty_set))) % 16.19/16.41 (define @t140 () (tptp.in tptp.empty_set @t64)) % 16.19/16.41 (define @t141 () (or @t140 @t139)) % 16.19/16.41 (define @t142 () (not @t65)) % 16.19/16.41 (define @t143 () (or @t142 (= @t63 @t67))) % 16.19/16.41 (define @t144 () (and @t143 @t141)) % 16.19/16.41 (define @t145 () (or @t72 @t70 @t144)) % 16.19/16.41 (define @t146 () (= @t67 @t63)) % 16.19/16.41 (define @t147 () (or @t142 @t146)) % 16.19/16.41 (define @t148 () (and @t147 (or @t140 @t138))) % 16.19/16.41 (define @t149 () (or @t72 @t70 @t148)) % 16.19/16.41 (define @t150 () (not @t146)) % 16.19/16.41 (define @t151 () (not @t66)) % 16.19/16.41 (define @t152 () (@list @t66)) % 16.19/16.41 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 16.19/16.41 (assume @p2 (forall @t7 (=> @t6 @t5))) % 16.19/16.41 (assume @p3 (forall @t7 (=> @t6 @t8))) % 16.19/16.41 (assume @p4 (forall @t4 (= @t9 (tptp.unordered_pair @t2 @t1)))) % 16.19/16.41 (assume @p5 @t24) % 16.19/16.41 (assume @p6 @t39) % 16.19/16.41 (assume @p7 (forall @t4 (= @t41 (tptp.unordered_pair @t9 @t40)))) % 16.19/16.41 (assume @p8 true) % 16.19/16.41 (assume @p9 (forall @t7 (exists @t36 (tptp.element @t2 @t1)))) % 16.19/16.41 (assume @p10 (and @t43 @t42 (tptp.relation_empty_yielding tptp.empty_set))) % 16.19/16.41 (assume @p11 @t43) % 16.19/16.41 (assume @p12 (forall @t4 (not (tptp.empty @t41)))) % 16.19/16.41 (assume @p13 (forall @t7 (not (tptp.empty @t40)))) % 16.19/16.41 (assume @p14 (forall @t4 (not (tptp.empty @t9)))) % 16.19/16.41 (assume @p15 (and @t43 @t42)) % 16.19/16.41 (assume @p16 (forall @t7 (=> @t46 (not @t44)))) % 16.19/16.41 (assume @p17 (forall @t7 (=> @t6 (and @t44 (tptp.relation @t13))))) % 16.19/16.41 (assume @p18 (exists @t7 @t22)) % 16.19/16.41 (assume @p19 (exists @t7 (and @t6 @t8))) % 16.19/16.41 (assume @p20 (exists @t7 @t6)) % 16.19/16.41 (assume @p21 (exists @t7 @t46)) % 16.19/16.41 (assume @p22 (exists @t7 @t45)) % 16.19/16.41 (assume @p23 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 16.19/16.41 (assume @p24 (forall @t4 (=> @t3 @t47))) % 16.19/16.41 (assume @p25 (forall @t4 (=> @t47 (or @t48 @t3)))) % 16.19/16.41 (assume @p26 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 16.19/16.41 (assume @p27 (forall @t4 (not (and @t3 @t48)))) % 16.19/16.41 (assume @p28 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t48)))) % 16.19/16.41 (assume @p29 @t55) % 16.19/16.41 (step @p30 :rule aci_norm :args ((= (or (or @t57 @t56) @t49) @t58))) % 16.19/16.41 (step @p31 :rule refl :args (@t49)) % 16.19/16.41 (step @p32 :rule bool-and-de-morgan :args (@t51 @t50 true)) % 16.19/16.41 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or (not @t52) @t49))) % 16.19/16.41 (step @p34 :rule trans :premises (@p33 @p30)) % 16.19/16.41 (step @p35 :rule bool-impl-elim :args (@t52 @t49)) % 16.19/16.41 (step @p36 :rule trans :premises (@p35 @p34)) % 16.19/16.41 (step @p37 :rule cong :premises (@p36) :args (@t54)) % 16.19/16.41 (step @p38 :rule cong :premises (@p37) :args (@t55)) % 16.19/16.41 (step @p39 :rule eq_resolve :premises (@p29 @p38)) % 16.19/16.41 (step @p40 :rule skolemize :premises (@p39)) % 16.19/16.41 (step @p41 :rule cnf_or_neg :args (@t73 2)) % 16.19/16.41 (step @p42 :rule chain_m_resolution :premises (@p41 @p40) :args ((not @t68) @t74 @t75)) % 16.19/16.41 (step @p43 :rule cnf_equiv_neg2 :args (@t68)) % 16.19/16.41 (assume-push @p233 @t76) % 16.19/16.41 (step @p45 :rule instantiate :premises (@p233) :args ((@list @t62))) % 16.19/16.41 (step-pop @p234 :rule scope :premises (@p45)) % 16.19/16.41 (step @p46 :rule process_scope :premises (@p234) :args (@t77)) % 16.19/16.41 (step @p48 :rule implies_elim :premises (@p46)) % 16.19/16.41 (step @p49 :rule reordering :premises (@p48) :args ((or @t77 @t78))) % 16.19/16.41 (step @p50 :rule eq-symm :args (@t80 @t81)) % 16.19/16.41 (step @p51 :rule cong :premises (@p50) :args (@t82)) % 16.19/16.41 (step @p52 :rule eq-symm :args (@t79 @t13)) % 16.19/16.41 (step @p53 :rule cong :premises (@p52 @p51) :args (@t83)) % 16.19/16.41 (step @p54 :rule refl :args (@t84)) % 16.19/16.41 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t85)) % 16.19/16.41 (step @p56 :rule cong :premises (@p55) :args (@t87)) % 16.19/16.41 (step @p57 :rule quant-merge-prenex :args ((= (forall @t7 @t89) @t87))) % 16.19/16.41 (step @p58 :rule alpha_equiv :args (@t90 (@list @t79) (@list @t2))) % 16.19/16.41 (step @p59 :rule refl :args (@t84)) % 16.19/16.41 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t91)) % 16.19/16.41 (step @p61 :rule quant-miniscope-or :args ((= @t89 @t91))) % 16.19/16.41 (step @p62 :rule trans :premises (@p61 @p60)) % 16.19/16.41 (step @p63 :rule symm :premises (@p62)) % 16.19/16.41 (step @p64 :rule cong :premises (@p63) :args ((forall @t7 (or @t84 @t92)))) % 16.19/16.41 (step @p65 :rule trans :premises (@p64 @p57)) % 16.19/16.41 (step @p66 :rule trans :premises (@p65 @p56)) % 16.19/16.41 (step @p67 :rule bool-impl-elim :args (@t8 @t92)) % 16.19/16.41 (step @p68 :rule cong :premises (@p67) :args ((forall @t7 (=> @t8 @t92)))) % 16.19/16.41 (step @p69 :rule trans :premises (@p68 @p66)) % 16.19/16.41 (step @p70 :rule exists-elim :args ((= @t29 @t81))) % 16.19/16.41 (step @p71 :rule refl :args (@t30)) % 16.19/16.41 (step @p72 :rule cong :premises (@p71 @p70) :args (@t31)) % 16.19/16.41 (step @p73 :rule cong :premises (@p72) :args (@t33)) % 16.19/16.41 (step @p74 :rule refl :args (@t34)) % 16.19/16.41 (step @p75 :rule cong :premises (@p74 @p73) :args (@t35)) % 16.19/16.41 (step @p76 :rule cong :premises (@p75) :args (@t37)) % 16.19/16.41 (step @p77 :rule refl :args (@t8)) % 16.19/16.41 (step @p78 :rule cong :premises (@p77 @p76) :args (@t38)) % 16.19/16.41 (step @p79 :rule cong :premises (@p78) :args (@t39)) % 16.19/16.41 (step @p80 :rule trans :premises (@p79 @p69)) % 16.19/16.41 (step @p81 :rule eq_resolve :premises (@p6 @p80)) % 16.19/16.41 (step @p82 :rule bool-eq-true :args (@t93)) % 16.19/16.41 (step @p83 :rule eq-symm :args (true @t93)) % 16.19/16.41 (step @p84 :rule trans :premises (@p83 @p82)) % 16.19/16.41 (step @p85 :rule refl :args (@t93)) % 16.19/16.41 (step @p86 :rule eq-refl :args (@t64)) % 16.19/16.41 (step @p87 :rule cong :premises (@p86 @p85) :args (@t94)) % 16.19/16.41 (step @p88 :rule trans :premises (@p87 @p84)) % 16.19/16.41 (step @p89 :rule refl :args (@t72)) % 16.19/16.41 (step @p90 :rule nary_cong :premises (@p89 @p88) :args (@t95)) % 16.19/16.41 (step @p91 :rule refl :args (@t96)) % 16.19/16.41 (step @p92 :rule cong :premises (@p91 @p90) :args ((=> @t96 @t95))) % 16.19/16.41 (assume-push @p235 @t96) % 16.19/16.41 (step @p94 :rule instantiate :premises (@p81) :args ((@list @t61 @t64))) % 16.19/16.41 (step-pop @p236 :rule scope :premises (@p94)) % 16.19/16.41 (step @p95 :rule process_scope :premises (@p236) :args (@t95)) % 16.19/16.41 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 16.19/16.41 (step @p98 :rule implies_elim :premises (@p97)) % 16.19/16.41 (step @p99 :rule chain_m_resolution :premises (@p98 @p81) :args (@t97 @t98 (@list @t96))) % 16.19/16.41 (step @p100 :rule bool-double-not-elim :args (@t71)) % 16.19/16.41 (step @p101 :rule refl :args (@t73)) % 16.19/16.41 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or @t73 (not @t72)))) % 16.19/16.41 (step @p103 :rule cnf_or_neg :args (@t73 0)) % 16.19/16.41 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 16.19/16.41 (step @p105 :rule reordering :premises (@p104) :args ((or @t71 @t73))) % 16.19/16.41 (step @p106 :rule chain_m_resolution :premises (@p105 @p40) :args (@t71 @t74 @t75)) % 16.19/16.41 (step @p107 :rule cnf_or_pos :args (@t97)) % 16.19/16.41 (step @p108 :rule reordering :premises (@p107) :args ((or @t72 @t93 (not @t97)))) % 16.19/16.41 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p99) :args (@t93 @t99 (@list @t71 @t97))) % 16.19/16.41 (step @p110 :rule eq-symm :args (@t78 @t65)) % 16.19/16.41 (step @p111 :rule cong :premises (@p85 @p110) :args ((=> @t93 @t100))) % 16.19/16.41 (assume-push @p237 @t93) % 16.19/16.41 (step @p113 :rule instantiate :premises (@p109) :args ((@list @t60))) % 16.19/16.41 (step-pop @p238 :rule scope :premises (@p113)) % 16.19/16.41 (step @p114 :rule process_scope :premises (@p238) :args (@t100)) % 16.19/16.41 (step @p116 :rule eq_resolve :premises (@p114 @p111)) % 16.19/16.41 (step @p117 :rule implies_elim :premises (@p116)) % 16.19/16.41 (step @p118 :rule chain_m_resolution :premises (@p117 @p109) :args (@t101 @t98 (@list @t93))) % 16.19/16.41 (step @p119 :rule bool-double-not-elim :args (@t76)) % 16.19/16.41 (step @p120 :rule refl :args (@t65)) % 16.19/16.41 (step @p121 :rule refl :args (@t102)) % 16.19/16.41 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119) :args ((or @t102 @t65 (not @t78)))) % 16.19/16.41 (step @p123 :rule cnf_equiv_pos2 :args (@t101)) % 16.19/16.41 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 16.19/16.41 (step @p125 :rule reordering :premises (@p124) :args ((or @t65 @t76 @t102))) % 16.19/16.41 (step @p126 :rule cnf_and_neg :args (@t66)) % 16.19/16.41 (step @p127 :rule quant-merge-prenex :args ((= (forall @t7 @t114) @t112))) % 16.19/16.41 (step @p128 :rule alpha_equiv :args (@t115 (@list @t104 @t103) @t118)) % 16.19/16.41 (step @p129 :rule quant-unused-vars :args ((= @t119 @t115))) % 16.19/16.41 (step @p130 :rule trans :premises (@p129 @p128)) % 16.19/16.41 (step @p131 :rule alpha_equiv :args (@t120 (@list @t107 @t106) @t123)) % 16.19/16.41 (step @p132 :rule quant-unused-vars :args ((= @t124 @t120))) % 16.19/16.41 (step @p133 :rule trans :premises (@p132 @p131)) % 16.19/16.41 (step @p134 :rule nary_cong :premises (@p133 @p130) :args (@t125)) % 16.19/16.41 (step @p135 :rule quant-miniscope-and :args ((= @t126 @t125))) % 16.19/16.41 (step @p136 :rule trans :premises (@p135 @p134)) % 16.19/16.41 (step @p137 :rule refl :args (@t110)) % 16.19/16.41 (step @p138 :rule nary_cong :premises (@p59 @p137 @p136) :args (@t127)) % 16.19/16.41 (step @p139 :rule quant-miniscope-or :args ((= @t114 @t127))) % 16.19/16.41 (step @p140 :rule trans :premises (@p139 @p138)) % 16.19/16.41 (step @p141 :rule symm :premises (@p140)) % 16.19/16.41 (step @p142 :rule cong :premises (@p141) :args ((forall @t7 @t129))) % 16.19/16.41 (step @p143 :rule trans :premises (@p142 @p127)) % 16.19/16.41 (step @p144 :rule aci_norm :args ((= (or (or @t84 @t110) @t128) @t129))) % 16.19/16.41 (step @p145 :rule refl :args (@t128)) % 16.19/16.41 (step @p146 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 16.19/16.41 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or (not @t22) @t128))) % 16.19/16.41 (step @p148 :rule trans :premises (@p147 @p144)) % 16.19/16.41 (step @p149 :rule bool-impl-elim :args (@t22 @t128)) % 16.19/16.41 (step @p150 :rule trans :premises (@p149 @p148)) % 16.19/16.41 (step @p151 :rule cong :premises (@p150) :args ((forall @t7 (=> @t22 @t128)))) % 16.19/16.41 (step @p152 :rule trans :premises (@p151 @p143)) % 16.19/16.41 (step @p153 :rule alpha_equiv :args (@t132 @t133 @t118)) % 16.19/16.41 (step @p154 :rule alpha_equiv :args (@t135 @t133 @t123)) % 16.19/16.41 (step @p155 :rule nary_cong :premises (@p154 @p153) :args (@t136)) % 16.19/16.41 (step @p156 :rule quant-miniscope-and :args ((= (forall @t20 (and @t134 @t131)) @t136))) % 16.19/16.41 (step @p157 :rule trans :premises (@p156 @p155)) % 16.19/16.41 (step @p158 :rule refl :args (@t130)) % 16.19/16.41 (step @p159 :rule bool-double-not-elim :args (@t14)) % 16.19/16.41 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or (not @t15) @t130))) % 16.19/16.41 (step @p161 :rule bool-impl-elim :args (@t15 @t130)) % 16.19/16.41 (step @p162 :rule trans :premises (@p161 @p160)) % 16.19/16.41 (step @p163 :rule bool-impl-elim :args (@t14 @t17)) % 16.19/16.41 (step @p164 :rule nary_cong :premises (@p163 @p162) :args (@t137)) % 16.19/16.41 (step @p165 :rule cong :premises (@p164) :args ((forall @t20 @t137))) % 16.19/16.41 (step @p166 :rule trans :premises (@p165 @p157)) % 16.19/16.41 (step @p167 :rule eq-symm :args (@t10 tptp.empty_set)) % 16.19/16.41 (step @p168 :rule refl :args (@t11)) % 16.19/16.41 (step @p169 :rule cong :premises (@p168 @p167) :args (@t12)) % 16.19/16.41 (step @p170 :rule refl :args (@t15)) % 16.19/16.41 (step @p171 :rule cong :premises (@p170 @p169) :args (@t16)) % 16.19/16.41 (step @p172 :rule refl :args (@t18)) % 16.19/16.41 (step @p173 :rule nary_cong :premises (@p172 @p171) :args (@t19)) % 16.19/16.41 (step @p174 :rule cong :premises (@p173) :args (@t21)) % 16.19/16.41 (step @p175 :rule trans :premises (@p174 @p166)) % 16.19/16.41 (step @p176 :rule refl :args (@t22)) % 16.19/16.41 (step @p177 :rule cong :premises (@p176 @p175) :args (@t23)) % 16.19/16.41 (step @p178 :rule cong :premises (@p177) :args (@t24)) % 16.19/16.41 (step @p179 :rule trans :premises (@p178 @p152)) % 16.19/16.41 (step @p180 :rule eq_resolve :premises (@p5 @p179)) % 16.19/16.41 (step @p181 :rule bool-eq-true :args (@t138)) % 16.19/16.41 (step @p182 :rule eq-refl :args (tptp.empty_set)) % 16.19/16.41 (step @p183 :rule refl :args (@t138)) % 16.19/16.41 (step @p184 :rule cong :premises (@p183 @p182) :args (@t139)) % 16.19/16.41 (step @p185 :rule trans :premises (@p184 @p181)) % 16.19/16.41 (step @p186 :rule refl :args (@t140)) % 16.19/16.41 (step @p187 :rule nary_cong :premises (@p186 @p185) :args (@t141)) % 16.19/16.41 (step @p188 :rule eq-symm :args (@t63 @t67)) % 16.19/16.41 (step @p189 :rule refl :args (@t142)) % 16.19/16.41 (step @p190 :rule nary_cong :premises (@p189 @p188) :args (@t143)) % 16.19/16.41 (step @p191 :rule nary_cong :premises (@p190 @p187) :args (@t144)) % 16.19/16.41 (step @p192 :rule refl :args (@t70)) % 16.19/16.41 (step @p193 :rule nary_cong :premises (@p89 @p192 @p191) :args (@t145)) % 16.19/16.41 (step @p194 :rule refl :args (@t112)) % 16.19/16.41 (step @p195 :rule cong :premises (@p194 @p193) :args ((=> @t112 @t145))) % 16.19/16.41 (assume-push @p239 @t112) % 16.19/16.41 (step @p197 :rule instantiate :premises (@p180) :args ((@list @t61 @t60 @t62 tptp.empty_set tptp.empty_set))) % 16.19/16.41 (step-pop @p240 :rule scope :premises (@p197)) % 16.19/16.41 (step @p198 :rule process_scope :premises (@p240) :args (@t145)) % 16.19/16.41 (step @p200 :rule eq_resolve :premises (@p198 @p195)) % 16.19/16.41 (step @p201 :rule implies_elim :premises (@p200)) % 16.19/16.41 (step @p202 :rule chain_m_resolution :premises (@p201 @p180) :args (@t149 @t98 (@list @t112))) % 16.19/16.41 (step @p203 :rule bool-double-not-elim :args (@t69)) % 16.19/16.41 (step @p204 :rule nary_cong :premises (@p101 @p203) :args ((or @t73 (not @t70)))) % 16.19/16.41 (step @p205 :rule cnf_or_neg :args (@t73 1)) % 16.19/16.41 (step @p206 :rule eq_resolve :premises (@p205 @p204)) % 16.19/16.41 (step @p207 :rule reordering :premises (@p206) :args ((or @t69 @t73))) % 16.19/16.41 (step @p208 :rule chain_m_resolution :premises (@p207 @p40) :args (@t69 @t74 @t75)) % 16.19/16.41 (step @p209 :rule cnf_or_pos :args (@t149)) % 16.19/16.41 (step @p210 :rule reordering :premises (@p209) :args ((or @t72 @t70 @t148 (not @t149)))) % 16.19/16.41 (step @p211 :rule chain_m_resolution :premises (@p210 @p106 @p208 @p202) :args (@t148 (@list false false false) (@list @t71 @t69 @t149))) % 16.19/16.41 (step @p212 :rule cnf_and_pos :args (@t148 0)) % 16.19/16.41 (step @p213 :rule reordering :premises (@p212) :args ((or @t147 (not @t148)))) % 16.19/16.41 (step @p214 :rule chain_m_resolution :premises (@p213 @p211) :args (@t147 @t98 (@list @t148))) % 16.19/16.41 (step @p215 :rule cnf_or_pos :args (@t147)) % 16.19/16.41 (step @p216 :rule reordering :premises (@p215) :args ((or @t142 @t146 (not @t147)))) % 16.19/16.41 (step @p217 :rule cnf_equiv_pos1 :args (@t146)) % 16.19/16.41 (step @p218 :rule reordering :premises (@p217) :args ((or @t63 @t77 @t150))) % 16.19/16.41 (step @p219 :rule chain_m_resolution :premises (@p218 @p216 @p214 @p126 @p125 @p118 @p49 @p43 @p42) :args (@t77 (@list false false true false false true true true) (@list @t146 @t147 @t63 @t65 @t101 @t76 @t66 @t68))) % 16.19/16.41 (step @p220 :rule cnf_equiv_neg1 :args (@t68)) % 16.19/16.41 (step @p221 :rule reordering :premises (@p220) :args ((or @t67 @t66 @t68))) % 16.19/16.41 (step @p222 :rule chain_m_resolution :premises (@p221 @p219 @p42) :args (@t66 (@list true true) (@list @t67 @t68))) % 16.19/16.41 (step @p223 :rule cnf_and_pos :args (@t66 1)) % 16.19/16.41 (step @p224 :rule reordering :premises (@p223) :args ((or @t63 @t151))) % 16.19/16.41 (step @p225 :rule chain_m_resolution :premises (@p224 @p222) :args (@t63 @t98 @t152)) % 16.19/16.41 (step @p226 :rule cnf_and_pos :args (@t66 0)) % 16.19/16.41 (step @p227 :rule reordering :premises (@p226) :args ((or @t65 @t151))) % 16.19/16.41 (step @p228 :rule chain_m_resolution :premises (@p227 @p222) :args (@t65 @t98 @t152)) % 16.19/16.41 (step @p229 :rule chain_m_resolution :premises (@p216 @p228 @p214) :args (@t146 @t99 (@list @t65 @t147))) % 16.19/16.41 (step @p230 :rule cnf_equiv_pos2 :args (@t146)) % 16.19/16.41 (step @p231 :rule reordering :premises (@p230) :args ((or @t67 (not @t63) @t150))) % 16.19/16.41 (step @p232 false :rule chain_m_resolution :premises (@p231 @p229 @p225 @p219) :args (false (@list false false true) (@list @t146 @t63 @t67))) % 16.19/16.41 ) % 16.19/16.41 % SZS output end Proof % 16.19/16.41 % cvc5 exiting %------------------------------------------------------------------------------