%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU268+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 : n020.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 08:51:11 AM UTC 2026 % Result : Theorem 0.52s 0.70s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU268+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n020.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:49:25 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.70 % SZS status Theorem % 0.52/0.70 % SZS output start Proof % 0.52/0.70 ( % 0.52/0.70 (declare-sort $$unsorted 0) % 0.52/0.70 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.empty_set $$unsorted) % 0.52/0.70 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.function (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (define @t1 () (@var "A" $$unsorted)) % 0.52/0.70 (define @t2 () (@var "B" $$unsorted)) % 0.52/0.70 (define @t3 () (tptp.in @t1 @t2)) % 0.52/0.70 (define @t4 () (@list @t1 @t2)) % 0.52/0.70 (define @t5 () (tptp.function @t1)) % 0.52/0.70 (define @t6 () (tptp.empty @t1)) % 0.52/0.70 (define @t7 () (@list @t1)) % 0.52/0.70 (define @t8 () (tptp.epsilon_connected @t1)) % 0.52/0.70 (define @t9 () (tptp.epsilon_transitive @t1)) % 0.52/0.70 (define @t10 () (and @t9 @t8)) % 0.52/0.70 (define @t11 () (tptp.ordinal @t1)) % 0.52/0.70 (define @t12 () (tptp.one_to_one @t1)) % 0.52/0.70 (define @t13 () (tptp.relation @t1)) % 0.52/0.70 (define @t14 () (and @t13 @t5 @t12)) % 0.52/0.70 (define @t15 () (and @t13 @t6 @t5)) % 0.52/0.70 (define @t16 () (and @t9 @t8 @t11)) % 0.52/0.70 (define @t17 () (tptp.unordered_pair @t1 @t2)) % 0.52/0.70 (define @t18 () (tptp.set_union2 @t2 @t1)) % 0.52/0.70 (define @t19 () (tptp.set_union2 @t1 @t2)) % 0.52/0.70 (define @t20 () (@var "C" $$unsorted)) % 0.52/0.70 (define @t21 () (tptp.ordered_pair @t20 @t20)) % 0.52/0.70 (define @t22 () (tptp.in @t21 @t1)) % 0.52/0.70 (define @t23 () (tptp.in @t20 @t2)) % 0.52/0.70 (define @t24 () (@list @t20)) % 0.52/0.70 (define @t25 () (forall @t24 (=> @t23 @t22))) % 0.52/0.70 (define @t26 () (tptp.is_reflexive_in @t1 @t2)) % 0.52/0.70 (define @t27 () (= @t26 @t25)) % 0.52/0.70 (define @t28 () (@list @t2)) % 0.52/0.70 (define @t29 () (forall @t28 @t27)) % 0.52/0.70 (define @t30 () (=> @t13 @t29)) % 0.52/0.70 (define @t31 () (forall @t7 @t30)) % 0.52/0.70 (define @t32 () (@var "D" $$unsorted)) % 0.52/0.70 (define @t33 () (tptp.subset @t20 @t32)) % 0.52/0.70 (define @t34 () (tptp.ordered_pair @t20 @t32)) % 0.52/0.70 (define @t35 () (= (tptp.in @t34 @t2) @t33)) % 0.52/0.70 (define @t36 () (tptp.in @t32 @t1)) % 0.52/0.70 (define @t37 () (tptp.in @t20 @t1)) % 0.52/0.70 (define @t38 () (and @t37 @t36)) % 0.52/0.70 (define @t39 () (@list @t20 @t32)) % 0.52/0.70 (define @t40 () (forall @t39 (=> @t38 @t35))) % 0.52/0.70 (define @t41 () (tptp.relation_field @t2)) % 0.52/0.70 (define @t42 () (and (= @t41 @t1) @t40)) % 0.52/0.70 (define @t43 () (tptp.inclusion_relation @t1)) % 0.52/0.70 (define @t44 () (= @t2 @t43)) % 0.52/0.70 (define @t45 () (= @t44 @t42)) % 0.52/0.70 (define @t46 () (tptp.relation @t2)) % 0.52/0.70 (define @t47 () (=> @t46 @t45)) % 0.52/0.70 (define @t48 () (forall @t4 @t47)) % 0.52/0.70 (define @t49 () (tptp.ordered_pair @t1 @t2)) % 0.52/0.70 (define @t50 () (tptp.relation_field @t1)) % 0.52/0.70 (define @t51 () (= (tptp.reflexive @t1) (tptp.is_reflexive_in @t1 @t50))) % 0.52/0.70 (define @t52 () (forall @t7 (=> @t13 @t51))) % 0.52/0.70 (define @t53 () (tptp.empty tptp.empty_set)) % 0.52/0.70 (define @t54 () (not @t6)) % 0.52/0.70 (define @t55 () (tptp.subset @t1 @t1)) % 0.52/0.70 (define @t56 () (forall @t4 @t55)) % 0.52/0.70 (define @t57 () (tptp.element @t1 @t2)) % 0.52/0.70 (define @t58 () (tptp.empty @t2)) % 0.52/0.70 (define @t59 () (forall @t7 (tptp.reflexive @t43))) % 0.52/0.70 (define @t60 () (tptp.element @t2 (tptp.powerset @t20))) % 0.52/0.70 (define @t61 () (@list @t1 @t2 @t20)) % 0.52/0.70 (define @t62 () (@var "BOUND_VARIABLE_7648" $$unsorted)) % 0.52/0.70 (define @t63 () (= (tptp.is_reflexive_in @t1 @t62) (forall @t24 (or (not (tptp.in @t20 @t62)) @t22)))) % 0.52/0.70 (define @t64 () (not @t13)) % 0.52/0.70 (define @t65 () (or @t64 @t63)) % 0.52/0.70 (define @t66 () (@list @t62)) % 0.52/0.70 (define @t67 () (forall @t66 @t65)) % 0.52/0.70 (define @t68 () (forall @t66 @t63)) % 0.52/0.70 (define @t69 () (or @t64 @t68)) % 0.52/0.70 (define @t70 () (forall @t28 (= @t26 (forall @t24 (or (not @t23) @t22))))) % 0.52/0.70 (define @t71 () (@quantifiers_skolemize @t59 0)) % 0.52/0.70 (define @t72 () (tptp.inclusion_relation @t71)) % 0.52/0.70 (define @t73 () (tptp.relation_field @t72)) % 0.52/0.70 (define @t74 () (forall @t24 (or (not (tptp.in @t20 @t73)) (tptp.in @t21 @t72)))) % 0.52/0.70 (define @t75 () (tptp.is_reflexive_in @t72 @t73)) % 0.52/0.70 (define @t76 () (= @t75 @t74)) % 0.52/0.70 (define @t77 () (tptp.relation @t72)) % 0.52/0.70 (define @t78 () (not @t77)) % 0.52/0.70 (define @t79 () (or @t78 @t76)) % 0.52/0.70 (define @t80 () (@list false false)) % 0.52/0.70 (define @t81 () (tptp.reflexive @t72)) % 0.52/0.70 (define @t82 () (= @t81 @t75)) % 0.52/0.70 (define @t83 () (or @t78 @t82)) % 0.52/0.70 (define @t84 () (not @t75)) % 0.52/0.70 (define @t85 () (@list true false)) % 0.52/0.70 (define @t86 () (not @t74)) % 0.52/0.70 (define @t87 () (@quantifiers_skolemize @t74 0)) % 0.52/0.70 (define @t88 () (tptp.in @t87 @t73)) % 0.52/0.70 (define @t89 () (tptp.in (tptp.ordered_pair @t87 @t87) @t72)) % 0.52/0.70 (define @t90 () (not @t88)) % 0.52/0.70 (define @t91 () (or @t90 @t89)) % 0.52/0.70 (define @t92 () (@list true)) % 0.52/0.70 (define @t93 () (@list @t91)) % 0.52/0.70 (define @t94 () (not @t36)) % 0.52/0.70 (define @t95 () (not @t37)) % 0.52/0.70 (define @t96 () (or @t95 @t94 @t35)) % 0.52/0.70 (define @t97 () (= @t44 (and (= @t1 @t41) (forall @t39 @t96)))) % 0.52/0.70 (define @t98 () (tptp.in @t34 @t72)) % 0.52/0.70 (define @t99 () (not (tptp.in @t32 @t71))) % 0.52/0.70 (define @t100 () (not (tptp.in @t20 @t71))) % 0.52/0.70 (define @t101 () (forall @t39 (or @t100 @t99 (= @t33 @t98)))) % 0.52/0.70 (define @t102 () (= @t71 @t73)) % 0.52/0.70 (define @t103 () (and @t102 @t101)) % 0.52/0.70 (define @t104 () (or @t100 @t99 (= @t98 @t33))) % 0.52/0.70 (define @t105 () (forall @t39 @t104)) % 0.52/0.70 (define @t106 () (and @t102 @t105)) % 0.52/0.70 (define @t107 () (= (= @t72 @t72) @t106)) % 0.52/0.70 (define @t108 () (or @t78 @t107)) % 0.52/0.70 (define @t109 () (forall @t4 (or (not @t46) @t97))) % 0.52/0.70 (define @t110 () (or @t78 @t103)) % 0.52/0.70 (define @t111 () (@list false)) % 0.52/0.70 (define @t112 () (not @t103)) % 0.52/0.70 (define @t113 () (@list @t103)) % 0.52/0.70 (define @t114 () (tptp.in @t87 @t71)) % 0.52/0.70 (define @t115 () (tptp.subset @t87 @t87)) % 0.52/0.70 (define @t116 () (= @t89 @t115)) % 0.52/0.70 (define @t117 () (not @t116)) % 0.52/0.70 (define @t118 () (not @t114)) % 0.52/0.70 (define @t119 () (or @t118 @t118 (= @t115 @t89))) % 0.52/0.70 (define @t120 () (or @t118 @t118 @t116)) % 0.52/0.70 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.52/0.70 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.52/0.70 (assume @p3 (forall @t7 (=> @t11 @t10))) % 0.52/0.70 (assume @p4 (forall @t7 (=> @t15 @t14))) % 0.52/0.70 (assume @p5 (forall @t7 (=> @t10 @t11))) % 0.52/0.70 (assume @p6 (forall @t7 (=> @t6 @t16))) % 0.52/0.70 (assume @p7 (forall @t4 (= @t17 (tptp.unordered_pair @t2 @t1)))) % 0.52/0.70 (assume @p8 (forall @t4 (= @t19 @t18))) % 0.52/0.70 (assume @p9 @t31) % 0.52/0.70 (assume @p10 @t48) % 0.52/0.70 (assume @p11 (forall @t4 (= @t49 (tptp.unordered_pair @t17 (tptp.singleton @t1))))) % 0.52/0.70 (assume @p12 (forall @t7 (=> @t13 (= @t50 (tptp.set_union2 (tptp.relation_dom @t1) (tptp.relation_rng @t1)))))) % 0.52/0.70 (assume @p13 @t52) % 0.52/0.70 (assume @p14 true) % 0.52/0.70 (assume @p15 (forall @t7 (tptp.relation @t43))) % 0.52/0.70 (assume @p16 (forall @t7 (exists @t28 (tptp.element @t2 @t1)))) % 0.52/0.70 (assume @p17 @t53) % 0.52/0.70 (assume @p18 (forall @t4 (not (tptp.empty @t49)))) % 0.52/0.70 (assume @p19 (and (tptp.relation tptp.empty_set) (tptp.relation_empty_yielding tptp.empty_set) (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t53 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.52/0.70 (assume @p20 (forall @t4 (=> @t54 (not (tptp.empty @t19))))) % 0.52/0.70 (assume @p21 (forall @t4 (=> @t54 (not (tptp.empty @t18))))) % 0.52/0.70 (assume @p22 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.52/0.70 (assume @p23 (exists @t7 (and @t13 @t5))) % 0.52/0.70 (assume @p24 (exists @t7 @t16)) % 0.52/0.70 (assume @p25 (exists @t7 @t6)) % 0.52/0.70 (assume @p26 (exists @t7 @t15)) % 0.52/0.70 (assume @p27 (exists @t7 (and @t13 @t5 @t12 @t6 @t9 @t8 @t11))) % 0.52/0.70 (assume @p28 (exists @t7 @t54)) % 0.52/0.70 (assume @p29 (exists @t7 @t14)) % 0.52/0.70 (assume @p30 (exists @t7 (and @t54 @t9 @t8 @t11))) % 0.52/0.70 (assume @p31 (exists @t7 (and @t13 (tptp.relation_empty_yielding @t1) @t5))) % 0.52/0.70 (assume @p32 @t56) % 0.52/0.70 (assume @p33 (forall @t7 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.52/0.70 (assume @p34 (forall @t4 (=> @t3 @t57))) % 0.52/0.70 (assume @p35 (forall @t4 (=> @t57 (or @t58 @t3)))) % 0.52/0.70 (assume @p36 (not @t59)) % 0.52/0.70 (assume @p37 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.52/0.70 (assume @p38 (forall @t61 (=> (and @t3 @t60) (tptp.element @t1 @t20)))) % 0.52/0.70 (assume @p39 (forall @t61 (not (and @t3 @t60 (tptp.empty @t20))))) % 0.52/0.70 (assume @p40 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.52/0.70 (assume @p41 (forall @t4 (not (and @t3 @t58)))) % 0.52/0.70 (assume @p42 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t58)))) % 0.52/0.70 (step @p43 :rule quant-merge-prenex :args ((= (forall @t7 @t67) (forall (@list @t1 @t62) @t65)))) % 0.52/0.70 (step @p44 :rule alpha_equiv :args (@t68 (@list @t62) (@list @t2))) % 0.52/0.70 (step @p45 :rule refl :args (@t64)) % 0.52/0.70 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t69)) % 0.52/0.70 (step @p47 :rule quant-miniscope-or :args ((= @t67 @t69))) % 0.52/0.70 (step @p48 :rule trans :premises (@p47 @p46)) % 0.52/0.70 (step @p49 :rule symm :premises (@p48)) % 0.52/0.70 (step @p50 :rule cong :premises (@p49) :args ((forall @t7 (or @t64 @t70)))) % 0.52/0.70 (step @p51 :rule trans :premises (@p50 @p43)) % 0.52/0.70 (step @p52 :rule bool-impl-elim :args (@t13 @t70)) % 0.52/0.70 (step @p53 :rule cong :premises (@p52) :args ((forall @t7 (=> @t13 @t70)))) % 0.52/0.70 (step @p54 :rule trans :premises (@p53 @p51)) % 0.52/0.70 (step @p55 :rule bool-impl-elim :args (@t23 @t22)) % 0.52/0.70 (step @p56 :rule cong :premises (@p55) :args (@t25)) % 0.52/0.70 (step @p57 :rule refl :args (@t26)) % 0.52/0.70 (step @p58 :rule cong :premises (@p57 @p56) :args (@t27)) % 0.52/0.70 (step @p59 :rule cong :premises (@p58) :args (@t29)) % 0.52/0.70 (step @p60 :rule refl :args (@t13)) % 0.52/0.70 (step @p61 :rule cong :premises (@p60 @p59) :args (@t30)) % 0.52/0.70 (step @p62 :rule cong :premises (@p61) :args (@t31)) % 0.52/0.70 (step @p63 :rule trans :premises (@p62 @p54)) % 0.52/0.70 (step @p64 :rule eq_resolve :premises (@p9 @p63)) % 0.52/0.70 (step @p65 :rule instantiate :premises (@p64) :args ((@list @t72 @t73))) % 0.52/0.70 (step @p66 :rule instantiate :premises (@p15) :args ((@list @t71))) % 0.52/0.70 (step @p67 :rule cnf_or_pos :args (@t79)) % 0.52/0.70 (step @p68 :rule reordering :premises (@p67) :args ((or @t78 @t76 (not @t79)))) % 0.52/0.70 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p65) :args (@t76 @t80 (@list @t77 @t79))) % 0.52/0.70 (step @p70 :rule bool-impl-elim :args (@t13 @t51)) % 0.52/0.70 (step @p71 :rule cong :premises (@p70) :args (@t52)) % 0.52/0.70 (step @p72 :rule eq_resolve :premises (@p13 @p71)) % 0.52/0.70 (step @p73 :rule instantiate :premises (@p72) :args ((@list @t72))) % 0.52/0.70 (step @p74 :rule cnf_or_pos :args (@t83)) % 0.52/0.70 (step @p75 :rule reordering :premises (@p74) :args ((or @t78 @t82 (not @t83)))) % 0.52/0.70 (step @p76 :rule chain_m_resolution :premises (@p75 @p66 @p73) :args (@t82 @t80 (@list @t77 @t83))) % 0.52/0.70 (step @p77 :rule skolemize :premises (@p36)) % 0.52/0.70 (step @p78 :rule cnf_equiv_pos2 :args (@t82)) % 0.52/0.70 (step @p79 :rule reordering :premises (@p78) :args ((or @t81 @t84 (not @t82)))) % 0.52/0.70 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p76) :args (@t84 @t85 (@list @t81 @t82))) % 0.52/0.70 (step @p81 :rule cnf_equiv_pos2 :args (@t76)) % 0.52/0.70 (step @p82 :rule reordering :premises (@p81) :args ((or @t75 @t86 (not @t76)))) % 0.52/0.70 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p69) :args (@t86 @t85 (@list @t75 @t76))) % 0.52/0.70 (step @p84 :rule skolemize :premises (@p83)) % 0.52/0.70 (step @p85 :rule bool-double-not-elim :args (@t88)) % 0.52/0.70 (step @p86 :rule refl :args (@t91)) % 0.52/0.70 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t91 (not @t90)))) % 0.52/0.70 (step @p88 :rule cnf_or_neg :args (@t91 0)) % 0.52/0.70 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.52/0.70 (step @p90 :rule reordering :premises (@p89) :args ((or @t88 @t91))) % 0.52/0.70 (step @p91 :rule chain_m_resolution :premises (@p90 @p84) :args (@t88 @t92 @t93)) % 0.52/0.70 (step @p92 :rule true_intro :premises (@p91)) % 0.52/0.70 (step @p93 :rule bool-impl-elim :args (@t46 @t97)) % 0.52/0.70 (step @p94 :rule cong :premises (@p93) :args ((forall @t4 (=> @t46 @t97)))) % 0.52/0.70 (step @p95 :rule aci_norm :args ((= (or (or @t95 @t94) @t35) @t96))) % 0.52/0.70 (step @p96 :rule refl :args (@t35)) % 0.52/0.70 (step @p97 :rule bool-and-de-morgan :args (@t37 @t36 true)) % 0.52/0.70 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or (not @t38) @t35))) % 0.52/0.70 (step @p99 :rule trans :premises (@p98 @p95)) % 0.52/0.70 (step @p100 :rule bool-impl-elim :args (@t38 @t35)) % 0.52/0.70 (step @p101 :rule trans :premises (@p100 @p99)) % 0.52/0.70 (step @p102 :rule cong :premises (@p101) :args (@t40)) % 0.52/0.70 (step @p103 :rule eq-symm :args (@t41 @t1)) % 0.52/0.70 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t42)) % 0.52/0.70 (step @p105 :rule refl :args (@t44)) % 0.52/0.70 (step @p106 :rule cong :premises (@p105 @p104) :args (@t45)) % 0.52/0.70 (step @p107 :rule refl :args (@t46)) % 0.52/0.70 (step @p108 :rule cong :premises (@p107 @p106) :args (@t47)) % 0.52/0.70 (step @p109 :rule cong :premises (@p108) :args (@t48)) % 0.52/0.70 (step @p110 :rule trans :premises (@p109 @p94)) % 0.52/0.70 (step @p111 :rule eq_resolve :premises (@p10 @p110)) % 0.52/0.70 (step @p112 :rule bool-eq-true :args (@t103)) % 0.52/0.70 (step @p113 :rule eq-symm :args (true @t103)) % 0.52/0.70 (step @p114 :rule trans :premises (@p113 @p112)) % 0.52/0.70 (step @p115 :rule eq-symm :args (@t98 @t33)) % 0.52/0.70 (step @p116 :rule refl :args (@t99)) % 0.52/0.70 (step @p117 :rule refl :args (@t100)) % 0.52/0.70 (step @p118 :rule nary_cong :premises (@p117 @p116 @p115) :args (@t104)) % 0.52/0.70 (step @p119 :rule cong :premises (@p118) :args (@t105)) % 0.52/0.70 (step @p120 :rule refl :args (@t102)) % 0.52/0.70 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t106)) % 0.52/0.70 (step @p122 :rule eq-refl :args (@t72)) % 0.52/0.70 (step @p123 :rule cong :premises (@p122 @p121) :args (@t107)) % 0.52/0.70 (step @p124 :rule trans :premises (@p123 @p114)) % 0.52/0.70 (step @p125 :rule refl :args (@t78)) % 0.52/0.70 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t108)) % 0.52/0.70 (step @p127 :rule refl :args (@t109)) % 0.52/0.70 (step @p128 :rule cong :premises (@p127 @p126) :args ((=> @t109 @t108))) % 0.52/0.70 (assume-push @p173 @t109) % 0.52/0.70 (step @p130 :rule instantiate :premises (@p111) :args ((@list @t71 @t72))) % 0.52/0.70 (step-pop @p174 :rule scope :premises (@p130)) % 0.52/0.70 (step @p131 :rule process_scope :premises (@p174) :args (@t108)) % 0.52/0.70 (step @p133 :rule eq_resolve :premises (@p131 @p128)) % 0.52/0.70 (step @p134 :rule implies_elim :premises (@p133)) % 0.52/0.70 (step @p135 :rule chain_m_resolution :premises (@p134 @p111) :args (@t110 @t111 (@list @t109))) % 0.52/0.70 (step @p136 :rule cnf_or_pos :args (@t110)) % 0.52/0.70 (step @p137 :rule reordering :premises (@p136) :args ((or @t78 @t103 (not @t110)))) % 0.52/0.70 (step @p138 :rule chain_m_resolution :premises (@p137 @p66 @p135) :args (@t103 @t80 (@list @t77 @t110))) % 0.52/0.70 (step @p139 :rule cnf_and_pos :args (@t103 0)) % 0.52/0.70 (step @p140 :rule reordering :premises (@p139) :args ((or @t102 @t112))) % 0.52/0.70 (step @p141 :rule chain_m_resolution :premises (@p140 @p138) :args (@t102 @t111 @t113)) % 0.52/0.70 (step @p142 :rule refl :args (@t87)) % 0.52/0.70 (step @p143 :rule cong :premises (@p142 @p141) :args (@t114)) % 0.52/0.70 (step @p144 :rule trans :premises (@p143 @p92)) % 0.52/0.70 (step @p145 :rule true_elim :premises (@p144)) % 0.52/0.70 (step @p146 :rule quant-unused-vars :args ((= @t56 (forall @t7 @t55)))) % 0.52/0.70 (step @p147 :rule eq_resolve :premises (@p32 @p146)) % 0.52/0.70 (step @p148 :rule instantiate :premises (@p147) :args ((@list @t87))) % 0.52/0.70 (step @p149 :rule cnf_or_neg :args (@t91 1)) % 0.52/0.70 (step @p150 :rule chain_m_resolution :premises (@p149 @p84) :args ((not @t89) @t92 @t93)) % 0.52/0.70 (step @p151 :rule cnf_equiv_pos2 :args (@t116)) % 0.52/0.70 (step @p152 :rule reordering :premises (@p151) :args ((or @t89 (not @t115) @t117))) % 0.52/0.70 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p148) :args (@t117 @t85 (@list @t89 @t115))) % 0.52/0.70 (step @p154 :rule cnf_and_pos :args (@t103 1)) % 0.52/0.70 (step @p155 :rule reordering :premises (@p154) :args ((or @t101 @t112))) % 0.52/0.70 (step @p156 :rule chain_m_resolution :premises (@p155 @p138) :args (@t101 @t111 @t113)) % 0.52/0.70 (step @p157 :rule eq-symm :args (@t115 @t89)) % 0.52/0.70 (step @p158 :rule refl :args (@t118)) % 0.52/0.70 (step @p159 :rule nary_cong :premises (@p158 @p158 @p157) :args (@t119)) % 0.52/0.70 (step @p160 :rule refl :args (@t101)) % 0.52/0.70 (step @p161 :rule cong :premises (@p160 @p159) :args ((=> @t101 @t119))) % 0.52/0.70 (assume-push @p175 @t101) % 0.52/0.70 (step @p163 :rule instantiate :premises (@p156) :args ((@list @t87 @t87))) % 0.52/0.70 (step-pop @p176 :rule scope :premises (@p163)) % 0.52/0.70 (step @p164 :rule process_scope :premises (@p176) :args (@t119)) % 0.52/0.70 (step @p166 :rule eq_resolve :premises (@p164 @p161)) % 0.52/0.70 (step @p167 :rule implies_elim :premises (@p166)) % 0.52/0.70 (step @p168 :rule chain_m_resolution :premises (@p167 @p156) :args (@t120 @t111 (@list @t101))) % 0.52/0.70 (step @p169 :rule cnf_or_pos :args (@t120)) % 0.52/0.70 (step @p170 :rule factoring :premises (@p169)) % 0.52/0.70 (step @p171 :rule reordering :premises (@p170) :args ((or @t118 @t116 (not @t120)))) % 0.52/0.70 (step @p172 false :rule chain_m_resolution :premises (@p171 @p168 @p153 @p145) :args (false (@list false true false) (@list @t120 @t116 @t114))) % 0.52/0.70 ) % 0.52/0.70 % SZS output end Proof % 0.52/0.70 % cvc5 exiting %------------------------------------------------------------------------------