%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU212+3 : 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 : n014.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 15.54s 15.73s % Output : Proof 15.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU212+3 : 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 % 0.18/0.34 % Computer : n014.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 16:40:13 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.54/15.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.54/15.73 --- Run --no-e-matching --full-saturate-quant at 6... % 15.54/15.73 % SZS status Theorem % 15.54/15.73 % SZS output start Proof % 15.54/15.73 ( % 15.54/15.73 (declare-sort $$unsorted 0) % 15.54/15.73 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 15.54/15.73 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.54/15.73 (declare-const tptp.empty_set $$unsorted) % 15.54/15.73 (declare-const tptp.function (-> $$unsorted Bool)) % 15.54/15.73 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 15.54/15.73 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.54/15.73 (declare-const tptp.relation (-> $$unsorted Bool)) % 15.54/15.73 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.54/15.73 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.54/15.73 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 15.54/15.73 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 15.54/15.73 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 15.54/15.73 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.54/15.73 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 15.54/15.73 (define @t1 () (@var "A" $$unsorted)) % 15.54/15.73 (define @t2 () (@var "B" $$unsorted)) % 15.54/15.73 (define @t3 () (tptp.in @t1 @t2)) % 15.54/15.73 (define @t4 () (@list @t1 @t2)) % 15.54/15.73 (define @t5 () (tptp.function @t1)) % 15.54/15.73 (define @t6 () (tptp.empty @t1)) % 15.54/15.73 (define @t7 () (@list @t1)) % 15.54/15.73 (define @t8 () (tptp.relation @t1)) % 15.54/15.73 (define @t9 () (tptp.unordered_pair @t1 @t2)) % 15.54/15.73 (define @t10 () (@var "C" $$unsorted)) % 15.54/15.73 (define @t11 () (= @t10 (tptp.apply @t1 @t2))) % 15.54/15.73 (define @t12 () (= @t11 (= @t10 tptp.empty_set))) % 15.54/15.73 (define @t13 () (tptp.relation_dom @t1)) % 15.54/15.73 (define @t14 () (tptp.in @t2 @t13)) % 15.54/15.73 (define @t15 () (not @t14)) % 15.54/15.73 (define @t16 () (=> @t15 @t12)) % 15.54/15.73 (define @t17 () (= @t11 (tptp.in (tptp.ordered_pair @t2 @t10) @t1))) % 15.54/15.73 (define @t18 () (=> @t14 @t17)) % 15.54/15.73 (define @t19 () (and @t18 @t16)) % 15.54/15.73 (define @t20 () (@list @t2 @t10)) % 15.54/15.73 (define @t21 () (forall @t20 @t19)) % 15.54/15.73 (define @t22 () (and @t8 @t5)) % 15.54/15.73 (define @t23 () (=> @t22 @t21)) % 15.54/15.73 (define @t24 () (forall @t7 @t23)) % 15.54/15.73 (define @t25 () (@var "D" $$unsorted)) % 15.54/15.73 (define @t26 () (tptp.ordered_pair @t10 @t25)) % 15.54/15.73 (define @t27 () (tptp.in @t26 @t1)) % 15.54/15.73 (define @t28 () (@list @t25)) % 15.54/15.73 (define @t29 () (exists @t28 @t27)) % 15.54/15.73 (define @t30 () (tptp.in @t10 @t2)) % 15.54/15.73 (define @t31 () (= @t30 @t29)) % 15.54/15.73 (define @t32 () (@list @t10)) % 15.54/15.73 (define @t33 () (forall @t32 @t31)) % 15.54/15.73 (define @t34 () (= @t2 @t13)) % 15.54/15.73 (define @t35 () (= @t34 @t33)) % 15.54/15.73 (define @t36 () (@list @t2)) % 15.54/15.73 (define @t37 () (forall @t36 @t35)) % 15.54/15.73 (define @t38 () (=> @t8 @t37)) % 15.54/15.73 (define @t39 () (forall @t7 @t38)) % 15.54/15.73 (define @t40 () (tptp.singleton @t1)) % 15.54/15.73 (define @t41 () (tptp.ordered_pair @t1 @t2)) % 15.54/15.73 (define @t42 () (tptp.relation tptp.empty_set)) % 15.54/15.73 (define @t43 () (tptp.empty tptp.empty_set)) % 15.54/15.73 (define @t44 () (tptp.powerset @t1)) % 15.54/15.73 (define @t45 () (tptp.empty @t13)) % 15.54/15.73 (define @t46 () (not @t6)) % 15.54/15.73 (define @t47 () (and @t46 @t8)) % 15.54/15.73 (define @t48 () (tptp.empty @t2)) % 15.54/15.73 (define @t49 () (tptp.element @t2 @t44)) % 15.54/15.73 (define @t50 () (tptp.element @t1 @t2)) % 15.54/15.73 (define @t51 () (tptp.element @t2 (tptp.powerset @t10))) % 15.54/15.73 (define @t52 () (@list @t1 @t2 @t10)) % 15.54/15.73 (define @t53 () (= (tptp.in @t41 @t10) (and (tptp.in @t1 (tptp.relation_dom @t10)) (= @t2 (tptp.apply @t10 @t1))))) % 15.54/15.73 (define @t54 () (tptp.function @t10)) % 15.54/15.73 (define @t55 () (tptp.relation @t10)) % 15.54/15.73 (define @t56 () (and @t55 @t54)) % 15.54/15.73 (define @t57 () (forall @t52 (=> @t56 @t53))) % 15.54/15.73 (define @t58 () (not @t57)) % 15.54/15.73 (define @t59 () (not @t54)) % 15.54/15.73 (define @t60 () (not @t55)) % 15.54/15.73 (define @t61 () (or @t60 @t59 @t53)) % 15.54/15.73 (define @t62 () (forall @t52 @t61)) % 15.54/15.73 (define @t63 () (@quantifiers_skolemize @t62 0)) % 15.54/15.73 (define @t64 () (@quantifiers_skolemize @t62 2)) % 15.54/15.73 (define @t65 () (@quantifiers_skolemize @t62 1)) % 15.54/15.73 (define @t66 () (= @t65 (tptp.apply @t64 @t63))) % 15.54/15.73 (define @t67 () (tptp.relation_dom @t64)) % 15.54/15.73 (define @t68 () (tptp.in @t63 @t67)) % 15.54/15.73 (define @t69 () (and @t68 @t66)) % 15.54/15.73 (define @t70 () (tptp.in (tptp.ordered_pair @t63 @t65) @t64)) % 15.54/15.73 (define @t71 () (= @t70 @t69)) % 15.54/15.73 (define @t72 () (tptp.function @t64)) % 15.54/15.73 (define @t73 () (not @t72)) % 15.54/15.73 (define @t74 () (tptp.relation @t64)) % 15.54/15.73 (define @t75 () (not @t74)) % 15.54/15.73 (define @t76 () (or @t75 @t73 @t71)) % 15.54/15.73 (define @t77 () (@list true)) % 15.54/15.73 (define @t78 () (@list @t76)) % 15.54/15.73 (define @t79 () (forall @t28 (not (tptp.in (tptp.ordered_pair @t63 @t25) @t64)))) % 15.54/15.73 (define @t80 () (not @t70)) % 15.54/15.73 (define @t81 () (not @t79)) % 15.54/15.73 (define @t82 () (@var "BOUND_VARIABLE_7674" $$unsorted)) % 15.54/15.73 (define @t83 () (tptp.in @t10 @t82)) % 15.54/15.73 (define @t84 () (not (forall @t28 (not @t27)))) % 15.54/15.73 (define @t85 () (forall @t32 (= @t83 @t84))) % 15.54/15.73 (define @t86 () (= (= @t82 @t13) @t85)) % 15.54/15.73 (define @t87 () (not @t8)) % 15.54/15.73 (define @t88 () (or @t87 @t86)) % 15.54/15.73 (define @t89 () (@list @t1 @t82)) % 15.54/15.73 (define @t90 () (forall @t89 @t88)) % 15.54/15.73 (define @t91 () (@list @t82)) % 15.54/15.73 (define @t92 () (forall @t91 @t88)) % 15.54/15.73 (define @t93 () (forall @t91 @t86)) % 15.54/15.73 (define @t94 () (or @t87 @t93)) % 15.54/15.73 (define @t95 () (forall @t36 (= @t34 (forall @t32 (= @t30 @t84))))) % 15.54/15.73 (define @t96 () (forall @t32 (= (not (forall @t28 (not (tptp.in @t26 @t64)))) (tptp.in @t10 @t67)))) % 15.54/15.73 (define @t97 () (= (= @t67 @t67) @t96)) % 15.54/15.73 (define @t98 () (or @t75 @t97)) % 15.54/15.73 (define @t99 () (forall @t89 (or @t87 (= (= @t13 @t82) (forall @t32 (= @t84 @t83)))))) % 15.54/15.73 (define @t100 () (or @t75 @t96)) % 15.54/15.73 (define @t101 () (@list false)) % 15.54/15.73 (define @t102 () (@list false false)) % 15.54/15.73 (define @t103 () (= @t81 @t68)) % 15.54/15.73 (define @t104 () (= @t68 @t81)) % 15.54/15.73 (define @t105 () (not @t104)) % 15.54/15.73 (define @t106 () (@var "BOUND_VARIABLE_7650" $$unsorted)) % 15.54/15.73 (define @t107 () (@var "BOUND_VARIABLE_7648" $$unsorted)) % 15.54/15.73 (define @t108 () (or (tptp.in @t107 @t13) (= (= @t106 (tptp.apply @t1 @t107)) (= tptp.empty_set @t106)))) % 15.54/15.73 (define @t109 () (@var "BOUND_VARIABLE_7638" $$unsorted)) % 15.54/15.73 (define @t110 () (@var "BOUND_VARIABLE_7636" $$unsorted)) % 15.54/15.73 (define @t111 () (or (not (tptp.in @t110 @t13)) (= (= @t109 (tptp.apply @t1 @t110)) (tptp.in (tptp.ordered_pair @t110 @t109) @t1)))) % 15.54/15.73 (define @t112 () (and @t111 @t108)) % 15.54/15.73 (define @t113 () (not @t5)) % 15.54/15.73 (define @t114 () (or @t87 @t113 @t112)) % 15.54/15.73 (define @t115 () (forall (@list @t1 @t110 @t109 @t107 @t106) @t114)) % 15.54/15.73 (define @t116 () (@list @t110 @t109 @t107 @t106)) % 15.54/15.73 (define @t117 () (forall @t116 @t114)) % 15.54/15.73 (define @t118 () (forall (@list @t107 @t106) @t108)) % 15.54/15.73 (define @t119 () (@var "BOUND_VARIABLE_7617" $$unsorted)) % 15.54/15.73 (define @t120 () (@var "BOUND_VARIABLE_7615" $$unsorted)) % 15.54/15.73 (define @t121 () (@list @t120 @t119)) % 15.54/15.73 (define @t122 () (forall @t116 @t108)) % 15.54/15.73 (define @t123 () (forall (@list @t110 @t109) @t111)) % 15.54/15.73 (define @t124 () (@var "BOUND_VARIABLE_7603" $$unsorted)) % 15.54/15.73 (define @t125 () (@var "BOUND_VARIABLE_7601" $$unsorted)) % 15.54/15.73 (define @t126 () (@list @t125 @t124)) % 15.54/15.73 (define @t127 () (forall @t116 @t111)) % 15.54/15.73 (define @t128 () (and @t127 @t122)) % 15.54/15.73 (define @t129 () (forall @t116 @t112)) % 15.54/15.73 (define @t130 () (or @t87 @t113 @t129)) % 15.54/15.73 (define @t131 () (and (forall (@list @t125 @t124) (or (not (tptp.in @t125 @t13)) (= (= @t124 (tptp.apply @t1 @t125)) (tptp.in (tptp.ordered_pair @t125 @t124) @t1)))) (forall (@list @t120 @t119) (or (tptp.in @t120 @t13) (= (= @t119 (tptp.apply @t1 @t120)) (= tptp.empty_set @t119)))))) % 15.54/15.73 (define @t132 () (or @t87 @t113 @t131)) % 15.54/15.73 (define @t133 () (= @t11 (= tptp.empty_set @t10))) % 15.54/15.73 (define @t134 () (or @t14 @t133)) % 15.54/15.73 (define @t135 () (forall @t20 @t134)) % 15.54/15.73 (define @t136 () (@list @t2 @t10)) % 15.54/15.73 (define @t137 () (or @t15 @t17)) % 15.54/15.73 (define @t138 () (forall @t20 @t137)) % 15.54/15.73 (define @t139 () (and @t138 @t135)) % 15.54/15.73 (define @t140 () (and @t18 (=> @t15 @t133))) % 15.54/15.73 (define @t141 () (= tptp.empty_set (tptp.apply @t64 tptp.empty_set))) % 15.54/15.73 (define @t142 () (= @t141 (= tptp.empty_set tptp.empty_set))) % 15.54/15.73 (define @t143 () (tptp.in tptp.empty_set @t67)) % 15.54/15.73 (define @t144 () (or @t143 @t142)) % 15.54/15.73 (define @t145 () (not @t68)) % 15.54/15.73 (define @t146 () (or @t145 (= @t66 @t70))) % 15.54/15.73 (define @t147 () (and @t146 @t144)) % 15.54/15.73 (define @t148 () (or @t75 @t73 @t147)) % 15.54/15.73 (define @t149 () (= @t70 @t66)) % 15.54/15.73 (define @t150 () (or @t145 @t149)) % 15.54/15.73 (define @t151 () (and @t150 (or @t143 @t141))) % 15.54/15.73 (define @t152 () (or @t75 @t73 @t151)) % 15.54/15.73 (define @t153 () (not @t149)) % 15.54/15.73 (define @t154 () (not @t69)) % 15.54/15.73 (define @t155 () (@list @t69)) % 15.54/15.73 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 15.54/15.73 (assume @p2 (forall @t7 (=> @t6 @t5))) % 15.54/15.73 (assume @p3 (forall @t7 (=> @t6 @t8))) % 15.54/15.73 (assume @p4 (forall @t4 (= @t9 (tptp.unordered_pair @t2 @t1)))) % 15.54/15.73 (assume @p5 @t24) % 15.54/15.73 (assume @p6 @t39) % 15.54/15.73 (assume @p7 (forall @t4 (= @t41 (tptp.unordered_pair @t9 @t40)))) % 15.54/15.73 (assume @p8 (forall @t7 (exists @t36 (tptp.element @t2 @t1)))) % 15.54/15.73 (assume @p9 (and @t43 @t42 (tptp.relation_empty_yielding tptp.empty_set))) % 15.54/15.73 (assume @p10 (forall @t7 (not (tptp.empty @t44)))) % 15.54/15.73 (assume @p11 @t43) % 15.54/15.73 (assume @p12 (forall @t4 (not (tptp.empty @t41)))) % 15.54/15.73 (assume @p13 (forall @t7 (not (tptp.empty @t40)))) % 15.54/15.73 (assume @p14 (forall @t4 (not (tptp.empty @t9)))) % 15.54/15.73 (assume @p15 (and @t43 @t42)) % 15.54/15.73 (assume @p16 (forall @t7 (=> @t47 (not @t45)))) % 15.54/15.73 (assume @p17 (forall @t7 (=> @t6 (and @t45 (tptp.relation @t13))))) % 15.54/15.73 (assume @p18 (exists @t7 @t22)) % 15.54/15.73 (assume @p19 (exists @t7 (and @t6 @t8))) % 15.54/15.73 (assume @p20 (forall @t7 (=> @t46 (exists @t36 (and @t49 (not @t48)))))) % 15.54/15.73 (assume @p21 (exists @t7 @t6)) % 15.54/15.73 (assume @p22 (exists @t7 @t47)) % 15.54/15.73 (assume @p23 (forall @t7 (exists @t36 (and @t49 @t48)))) % 15.54/15.73 (assume @p24 (exists @t7 @t46)) % 15.54/15.73 (assume @p25 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 15.54/15.73 (assume @p26 (forall @t4 (tptp.subset @t1 @t1))) % 15.54/15.73 (assume @p27 (forall @t4 (=> @t3 @t50))) % 15.54/15.73 (assume @p28 (forall @t4 (=> @t50 (or @t48 @t3)))) % 15.54/15.73 (assume @p29 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 15.54/15.73 (assume @p30 (forall @t52 (=> (and @t3 @t51) (tptp.element @t1 @t10)))) % 15.54/15.73 (assume @p31 (forall @t52 (not (and @t3 @t51 (tptp.empty @t10))))) % 15.54/15.73 (assume @p32 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 15.54/15.73 (assume @p33 (forall @t4 (not (and @t3 @t48)))) % 15.54/15.73 (assume @p34 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t48)))) % 15.54/15.73 (assume @p35 @t58) % 15.54/15.73 (assume @p36 true) % 15.54/15.73 (step @p37 :rule aci_norm :args ((= (or (or @t60 @t59) @t53) @t61))) % 15.54/15.73 (step @p38 :rule refl :args (@t53)) % 15.54/15.73 (step @p39 :rule bool-and-de-morgan :args (@t55 @t54 true)) % 15.54/15.73 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or (not @t56) @t53))) % 15.54/15.73 (step @p41 :rule trans :premises (@p40 @p37)) % 15.54/15.73 (step @p42 :rule bool-impl-elim :args (@t56 @t53)) % 15.54/15.73 (step @p43 :rule trans :premises (@p42 @p41)) % 15.54/15.73 (step @p44 :rule cong :premises (@p43) :args (@t57)) % 15.54/15.73 (step @p45 :rule cong :premises (@p44) :args (@t58)) % 15.54/15.73 (step @p46 :rule eq_resolve :premises (@p35 @p45)) % 15.54/15.73 (step @p47 :rule skolemize :premises (@p46)) % 15.54/15.73 (step @p48 :rule cnf_or_neg :args (@t76 2)) % 15.54/15.73 (step @p49 :rule chain_m_resolution :premises (@p48 @p47) :args ((not @t71) @t77 @t78)) % 15.54/15.73 (step @p50 :rule cnf_equiv_neg2 :args (@t71)) % 15.54/15.73 (assume-push @p240 @t79) % 15.54/15.73 (step @p52 :rule instantiate :premises (@p240) :args ((@list @t65))) % 15.54/15.73 (step-pop @p241 :rule scope :premises (@p52)) % 15.54/15.73 (step @p53 :rule process_scope :premises (@p241) :args (@t80)) % 15.54/15.73 (step @p55 :rule implies_elim :premises (@p53)) % 15.54/15.73 (step @p56 :rule reordering :premises (@p55) :args ((or @t80 @t81))) % 15.54/15.73 (step @p57 :rule eq-symm :args (@t83 @t84)) % 15.54/15.73 (step @p58 :rule cong :premises (@p57) :args (@t85)) % 15.54/15.73 (step @p59 :rule eq-symm :args (@t82 @t13)) % 15.54/15.73 (step @p60 :rule cong :premises (@p59 @p58) :args (@t86)) % 15.54/15.73 (step @p61 :rule refl :args (@t87)) % 15.54/15.73 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t88)) % 15.54/15.73 (step @p63 :rule cong :premises (@p62) :args (@t90)) % 15.54/15.73 (step @p64 :rule quant-merge-prenex :args ((= (forall @t7 @t92) @t90))) % 15.54/15.73 (step @p65 :rule alpha_equiv :args (@t93 (@list @t82) (@list @t2))) % 15.54/15.73 (step @p66 :rule refl :args (@t87)) % 15.54/15.73 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t94)) % 15.54/15.73 (step @p68 :rule quant-miniscope-or :args ((= @t92 @t94))) % 15.54/15.73 (step @p69 :rule trans :premises (@p68 @p67)) % 15.54/15.73 (step @p70 :rule symm :premises (@p69)) % 15.54/15.73 (step @p71 :rule cong :premises (@p70) :args ((forall @t7 (or @t87 @t95)))) % 15.54/15.73 (step @p72 :rule trans :premises (@p71 @p64)) % 15.54/15.73 (step @p73 :rule trans :premises (@p72 @p63)) % 15.54/15.73 (step @p74 :rule bool-impl-elim :args (@t8 @t95)) % 15.54/15.73 (step @p75 :rule cong :premises (@p74) :args ((forall @t7 (=> @t8 @t95)))) % 15.54/15.73 (step @p76 :rule trans :premises (@p75 @p73)) % 15.54/15.73 (step @p77 :rule exists-elim :args ((= @t29 @t84))) % 15.54/15.73 (step @p78 :rule refl :args (@t30)) % 15.54/15.73 (step @p79 :rule cong :premises (@p78 @p77) :args (@t31)) % 15.54/15.73 (step @p80 :rule cong :premises (@p79) :args (@t33)) % 15.54/15.73 (step @p81 :rule refl :args (@t34)) % 15.54/15.73 (step @p82 :rule cong :premises (@p81 @p80) :args (@t35)) % 15.54/15.73 (step @p83 :rule cong :premises (@p82) :args (@t37)) % 15.54/15.73 (step @p84 :rule refl :args (@t8)) % 15.54/15.73 (step @p85 :rule cong :premises (@p84 @p83) :args (@t38)) % 15.54/15.73 (step @p86 :rule cong :premises (@p85) :args (@t39)) % 15.54/15.73 (step @p87 :rule trans :premises (@p86 @p76)) % 15.54/15.73 (step @p88 :rule eq_resolve :premises (@p6 @p87)) % 15.54/15.73 (step @p89 :rule bool-eq-true :args (@t96)) % 15.54/15.73 (step @p90 :rule eq-symm :args (true @t96)) % 15.54/15.73 (step @p91 :rule trans :premises (@p90 @p89)) % 15.54/15.73 (step @p92 :rule refl :args (@t96)) % 15.54/15.73 (step @p93 :rule eq-refl :args (@t67)) % 15.54/15.73 (step @p94 :rule cong :premises (@p93 @p92) :args (@t97)) % 15.54/15.73 (step @p95 :rule trans :premises (@p94 @p91)) % 15.54/15.73 (step @p96 :rule refl :args (@t75)) % 15.54/15.73 (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t98)) % 15.54/15.73 (step @p98 :rule refl :args (@t99)) % 15.54/15.73 (step @p99 :rule cong :premises (@p98 @p97) :args ((=> @t99 @t98))) % 15.54/15.73 (assume-push @p242 @t99) % 15.54/15.73 (step @p101 :rule instantiate :premises (@p88) :args ((@list @t64 @t67))) % 15.54/15.73 (step-pop @p243 :rule scope :premises (@p101)) % 15.54/15.73 (step @p102 :rule process_scope :premises (@p243) :args (@t98)) % 15.54/15.73 (step @p104 :rule eq_resolve :premises (@p102 @p99)) % 15.54/15.73 (step @p105 :rule implies_elim :premises (@p104)) % 15.54/15.73 (step @p106 :rule chain_m_resolution :premises (@p105 @p88) :args (@t100 @t101 (@list @t99))) % 15.54/15.73 (step @p107 :rule bool-double-not-elim :args (@t74)) % 15.54/15.73 (step @p108 :rule refl :args (@t76)) % 15.54/15.73 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t76 (not @t75)))) % 15.54/15.73 (step @p110 :rule cnf_or_neg :args (@t76 0)) % 15.54/15.73 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 15.54/15.73 (step @p112 :rule reordering :premises (@p111) :args ((or @t74 @t76))) % 15.54/15.73 (step @p113 :rule chain_m_resolution :premises (@p112 @p47) :args (@t74 @t77 @t78)) % 15.54/15.73 (step @p114 :rule cnf_or_pos :args (@t100)) % 15.54/15.73 (step @p115 :rule reordering :premises (@p114) :args ((or @t75 @t96 (not @t100)))) % 15.54/15.73 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p106) :args (@t96 @t102 (@list @t74 @t100))) % 15.54/15.73 (step @p117 :rule eq-symm :args (@t81 @t68)) % 15.54/15.73 (step @p118 :rule cong :premises (@p92 @p117) :args ((=> @t96 @t103))) % 15.54/15.73 (assume-push @p244 @t96) % 15.54/15.73 (step @p120 :rule instantiate :premises (@p116) :args ((@list @t63))) % 15.54/15.73 (step-pop @p245 :rule scope :premises (@p120)) % 15.54/15.73 (step @p121 :rule process_scope :premises (@p245) :args (@t103)) % 15.54/15.73 (step @p123 :rule eq_resolve :premises (@p121 @p118)) % 15.54/15.73 (step @p124 :rule implies_elim :premises (@p123)) % 15.54/15.73 (step @p125 :rule chain_m_resolution :premises (@p124 @p116) :args (@t104 @t101 (@list @t96))) % 15.54/15.73 (step @p126 :rule bool-double-not-elim :args (@t79)) % 15.54/15.73 (step @p127 :rule refl :args (@t68)) % 15.54/15.73 (step @p128 :rule refl :args (@t105)) % 15.54/15.73 (step @p129 :rule nary_cong :premises (@p128 @p127 @p126) :args ((or @t105 @t68 (not @t81)))) % 15.54/15.73 (step @p130 :rule cnf_equiv_pos2 :args (@t104)) % 15.54/15.73 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 15.54/15.73 (step @p132 :rule reordering :premises (@p131) :args ((or @t68 @t79 @t105))) % 15.54/15.73 (step @p133 :rule cnf_and_neg :args (@t69)) % 15.54/15.73 (step @p134 :rule quant-merge-prenex :args ((= (forall @t7 @t117) @t115))) % 15.54/15.73 (step @p135 :rule alpha_equiv :args (@t118 (@list @t107 @t106) @t121)) % 15.54/15.73 (step @p136 :rule quant-unused-vars :args ((= @t122 @t118))) % 15.54/15.73 (step @p137 :rule trans :premises (@p136 @p135)) % 15.54/15.73 (step @p138 :rule alpha_equiv :args (@t123 (@list @t110 @t109) @t126)) % 15.54/15.73 (step @p139 :rule quant-unused-vars :args ((= @t127 @t123))) % 15.54/15.73 (step @p140 :rule trans :premises (@p139 @p138)) % 15.54/15.73 (step @p141 :rule nary_cong :premises (@p140 @p137) :args (@t128)) % 15.54/15.73 (step @p142 :rule quant-miniscope-and :args ((= @t129 @t128))) % 15.54/15.73 (step @p143 :rule trans :premises (@p142 @p141)) % 15.54/15.73 (step @p144 :rule refl :args (@t113)) % 15.54/15.73 (step @p145 :rule nary_cong :premises (@p66 @p144 @p143) :args (@t130)) % 15.54/15.73 (step @p146 :rule quant-miniscope-or :args ((= @t117 @t130))) % 15.54/15.73 (step @p147 :rule trans :premises (@p146 @p145)) % 15.54/15.73 (step @p148 :rule symm :premises (@p147)) % 15.54/15.73 (step @p149 :rule cong :premises (@p148) :args ((forall @t7 @t132))) % 15.54/15.73 (step @p150 :rule trans :premises (@p149 @p134)) % 15.54/15.73 (step @p151 :rule aci_norm :args ((= (or (or @t87 @t113) @t131) @t132))) % 15.54/15.73 (step @p152 :rule refl :args (@t131)) % 15.54/15.73 (step @p153 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 15.54/15.73 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or (not @t22) @t131))) % 15.54/15.73 (step @p155 :rule trans :premises (@p154 @p151)) % 15.54/15.73 (step @p156 :rule bool-impl-elim :args (@t22 @t131)) % 15.54/15.73 (step @p157 :rule trans :premises (@p156 @p155)) % 15.54/15.73 (step @p158 :rule cong :premises (@p157) :args ((forall @t7 (=> @t22 @t131)))) % 15.54/15.73 (step @p159 :rule trans :premises (@p158 @p150)) % 15.54/15.73 (step @p160 :rule alpha_equiv :args (@t135 @t136 @t121)) % 15.54/15.73 (step @p161 :rule alpha_equiv :args (@t138 @t136 @t126)) % 15.54/15.73 (step @p162 :rule nary_cong :premises (@p161 @p160) :args (@t139)) % 15.54/15.73 (step @p163 :rule quant-miniscope-and :args ((= (forall @t20 (and @t137 @t134)) @t139))) % 15.54/15.73 (step @p164 :rule trans :premises (@p163 @p162)) % 15.54/15.73 (step @p165 :rule refl :args (@t133)) % 15.54/15.73 (step @p166 :rule bool-double-not-elim :args (@t14)) % 15.54/15.73 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or (not @t15) @t133))) % 15.54/15.73 (step @p168 :rule bool-impl-elim :args (@t15 @t133)) % 15.54/15.73 (step @p169 :rule trans :premises (@p168 @p167)) % 15.54/15.73 (step @p170 :rule bool-impl-elim :args (@t14 @t17)) % 15.54/15.73 (step @p171 :rule nary_cong :premises (@p170 @p169) :args (@t140)) % 15.54/15.73 (step @p172 :rule cong :premises (@p171) :args ((forall @t20 @t140))) % 15.54/15.73 (step @p173 :rule trans :premises (@p172 @p164)) % 15.54/15.73 (step @p174 :rule eq-symm :args (@t10 tptp.empty_set)) % 15.54/15.73 (step @p175 :rule refl :args (@t11)) % 15.54/15.73 (step @p176 :rule cong :premises (@p175 @p174) :args (@t12)) % 15.54/15.73 (step @p177 :rule refl :args (@t15)) % 15.54/15.73 (step @p178 :rule cong :premises (@p177 @p176) :args (@t16)) % 15.54/15.73 (step @p179 :rule refl :args (@t18)) % 15.54/15.73 (step @p180 :rule nary_cong :premises (@p179 @p178) :args (@t19)) % 15.54/15.73 (step @p181 :rule cong :premises (@p180) :args (@t21)) % 15.54/15.73 (step @p182 :rule trans :premises (@p181 @p173)) % 15.54/15.73 (step @p183 :rule refl :args (@t22)) % 15.54/15.73 (step @p184 :rule cong :premises (@p183 @p182) :args (@t23)) % 15.54/15.73 (step @p185 :rule cong :premises (@p184) :args (@t24)) % 15.54/15.73 (step @p186 :rule trans :premises (@p185 @p159)) % 15.54/15.73 (step @p187 :rule eq_resolve :premises (@p5 @p186)) % 15.54/15.73 (step @p188 :rule bool-eq-true :args (@t141)) % 15.54/15.73 (step @p189 :rule eq-refl :args (tptp.empty_set)) % 15.54/15.73 (step @p190 :rule refl :args (@t141)) % 15.54/15.73 (step @p191 :rule cong :premises (@p190 @p189) :args (@t142)) % 15.54/15.73 (step @p192 :rule trans :premises (@p191 @p188)) % 15.54/15.73 (step @p193 :rule refl :args (@t143)) % 15.54/15.73 (step @p194 :rule nary_cong :premises (@p193 @p192) :args (@t144)) % 15.54/15.73 (step @p195 :rule eq-symm :args (@t66 @t70)) % 15.54/15.73 (step @p196 :rule refl :args (@t145)) % 15.54/15.73 (step @p197 :rule nary_cong :premises (@p196 @p195) :args (@t146)) % 15.54/15.73 (step @p198 :rule nary_cong :premises (@p197 @p194) :args (@t147)) % 15.54/15.73 (step @p199 :rule refl :args (@t73)) % 15.54/15.73 (step @p200 :rule nary_cong :premises (@p96 @p199 @p198) :args (@t148)) % 15.54/15.73 (step @p201 :rule refl :args (@t115)) % 15.54/15.73 (step @p202 :rule cong :premises (@p201 @p200) :args ((=> @t115 @t148))) % 15.54/15.73 (assume-push @p246 @t115) % 15.54/15.73 (step @p204 :rule instantiate :premises (@p187) :args ((@list @t64 @t63 @t65 tptp.empty_set tptp.empty_set))) % 15.54/15.73 (step-pop @p247 :rule scope :premises (@p204)) % 15.54/15.73 (step @p205 :rule process_scope :premises (@p247) :args (@t148)) % 15.54/15.73 (step @p207 :rule eq_resolve :premises (@p205 @p202)) % 15.54/15.73 (step @p208 :rule implies_elim :premises (@p207)) % 15.54/15.73 (step @p209 :rule chain_m_resolution :premises (@p208 @p187) :args (@t152 @t101 (@list @t115))) % 15.54/15.73 (step @p210 :rule bool-double-not-elim :args (@t72)) % 15.54/15.73 (step @p211 :rule nary_cong :premises (@p108 @p210) :args ((or @t76 (not @t73)))) % 15.54/15.73 (step @p212 :rule cnf_or_neg :args (@t76 1)) % 15.54/15.73 (step @p213 :rule eq_resolve :premises (@p212 @p211)) % 15.54/15.73 (step @p214 :rule reordering :premises (@p213) :args ((or @t72 @t76))) % 15.54/15.73 (step @p215 :rule chain_m_resolution :premises (@p214 @p47) :args (@t72 @t77 @t78)) % 15.54/15.73 (step @p216 :rule cnf_or_pos :args (@t152)) % 15.54/15.73 (step @p217 :rule reordering :premises (@p216) :args ((or @t75 @t73 @t151 (not @t152)))) % 15.54/15.73 (step @p218 :rule chain_m_resolution :premises (@p217 @p113 @p215 @p209) :args (@t151 (@list false false false) (@list @t74 @t72 @t152))) % 15.54/15.73 (step @p219 :rule cnf_and_pos :args (@t151 0)) % 15.54/15.73 (step @p220 :rule reordering :premises (@p219) :args ((or @t150 (not @t151)))) % 15.54/15.73 (step @p221 :rule chain_m_resolution :premises (@p220 @p218) :args (@t150 @t101 (@list @t151))) % 15.54/15.73 (step @p222 :rule cnf_or_pos :args (@t150)) % 15.54/15.73 (step @p223 :rule reordering :premises (@p222) :args ((or @t145 @t149 (not @t150)))) % 15.54/15.73 (step @p224 :rule cnf_equiv_pos1 :args (@t149)) % 15.54/15.73 (step @p225 :rule reordering :premises (@p224) :args ((or @t66 @t80 @t153))) % 15.54/15.73 (step @p226 :rule chain_m_resolution :premises (@p225 @p223 @p221 @p133 @p132 @p125 @p56 @p50 @p49) :args (@t80 (@list false false true false false true true true) (@list @t149 @t150 @t66 @t68 @t104 @t79 @t69 @t71))) % 15.54/15.73 (step @p227 :rule cnf_equiv_neg1 :args (@t71)) % 15.54/15.73 (step @p228 :rule reordering :premises (@p227) :args ((or @t70 @t69 @t71))) % 15.54/15.73 (step @p229 :rule chain_m_resolution :premises (@p228 @p226 @p49) :args (@t69 (@list true true) (@list @t70 @t71))) % 15.54/15.73 (step @p230 :rule cnf_and_pos :args (@t69 1)) % 15.54/15.73 (step @p231 :rule reordering :premises (@p230) :args ((or @t66 @t154))) % 15.54/15.73 (step @p232 :rule chain_m_resolution :premises (@p231 @p229) :args (@t66 @t101 @t155)) % 15.54/15.73 (step @p233 :rule cnf_and_pos :args (@t69 0)) % 15.54/15.73 (step @p234 :rule reordering :premises (@p233) :args ((or @t68 @t154))) % 15.54/15.73 (step @p235 :rule chain_m_resolution :premises (@p234 @p229) :args (@t68 @t101 @t155)) % 15.54/15.73 (step @p236 :rule chain_m_resolution :premises (@p223 @p235 @p221) :args (@t149 @t102 (@list @t68 @t150))) % 15.54/15.73 (step @p237 :rule cnf_equiv_pos2 :args (@t149)) % 15.54/15.73 (step @p238 :rule reordering :premises (@p237) :args ((or @t70 (not @t66) @t153))) % 15.54/15.73 (step @p239 false :rule chain_m_resolution :premises (@p238 @p236 @p232 @p226) :args (false (@list false false true) (@list @t149 @t66 @t70))) % 15.54/15.73 ) % 15.54/15.73 % SZS output end Proof % 15.54/15.73 % cvc5 exiting %------------------------------------------------------------------------------