%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET991+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 : n007.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 08:49:06 AM UTC 2026 % Result : Theorem 15.51s 15.71s % Output : Proof 15.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET991+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 % 0.17/0.34 % Computer : n007.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:20:41 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.51/15.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.51/15.71 --- Run --no-e-matching --full-saturate-quant at 6... % 15.51/15.71 % SZS status Theorem % 15.51/15.71 % SZS output start Proof % 15.51/15.71 ( % 15.51/15.71 (declare-sort $$unsorted 0) % 15.51/15.71 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 15.51/15.71 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 15.51/15.71 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 15.51/15.71 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 15.51/15.71 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 15.51/15.71 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 15.51/15.71 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.51/15.71 (declare-const tptp.function (-> $$unsorted Bool)) % 15.51/15.71 (declare-const tptp.relation (-> $$unsorted Bool)) % 15.51/15.71 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.51/15.71 (declare-const tptp.empty_set $$unsorted) % 15.51/15.71 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 15.51/15.71 (define @t1 () (@var "A" $$unsorted)) % 15.51/15.71 (define @t2 () (@var "B" $$unsorted)) % 15.51/15.71 (define @t3 () (@list @t1 @t2)) % 15.51/15.71 (define @t4 () (tptp.relation tptp.empty_set)) % 15.51/15.71 (define @t5 () (tptp.empty tptp.empty_set)) % 15.51/15.71 (define @t6 () (@list @t2)) % 15.51/15.71 (define @t7 () (@list @t1)) % 15.51/15.71 (define @t8 () (tptp.function @t1)) % 15.51/15.71 (define @t9 () (tptp.empty @t1)) % 15.51/15.71 (define @t10 () (tptp.powerset @t1)) % 15.51/15.71 (define @t11 () (tptp.relation_dom @t1)) % 15.51/15.71 (define @t12 () (tptp.empty @t11)) % 15.51/15.71 (define @t13 () (tptp.relation @t1)) % 15.51/15.71 (define @t14 () (not @t9)) % 15.51/15.71 (define @t15 () (and @t14 @t13)) % 15.51/15.71 (define @t16 () (tptp.relation_rng @t1)) % 15.51/15.71 (define @t17 () (tptp.empty @t16)) % 15.51/15.71 (define @t18 () (tptp.in @t1 @t2)) % 15.51/15.71 (define @t19 () (tptp.empty @t2)) % 15.51/15.71 (define @t20 () (tptp.element @t1 @t2)) % 15.51/15.71 (define @t21 () (@var "C" $$unsorted)) % 15.51/15.71 (define @t22 () (tptp.element @t2 (tptp.powerset @t21))) % 15.51/15.71 (define @t23 () (@list @t1 @t2 @t21)) % 15.51/15.71 (define @t24 () (and @t13 @t8)) % 15.51/15.71 (define @t25 () (tptp.element @t2 @t10)) % 15.51/15.71 (define @t26 () (tptp.in (tptp.apply @t2 @t1) (tptp.relation_rng @t2))) % 15.51/15.71 (define @t27 () (tptp.in @t1 (tptp.relation_dom @t2))) % 15.51/15.71 (define @t28 () (=> @t27 @t26)) % 15.51/15.71 (define @t29 () (tptp.function @t2)) % 15.51/15.71 (define @t30 () (tptp.relation @t2)) % 15.51/15.71 (define @t31 () (and @t30 @t29)) % 15.51/15.71 (define @t32 () (forall @t3 (=> @t31 @t28))) % 15.51/15.71 (define @t33 () (not @t32)) % 15.51/15.71 (define @t34 () (@var "D" $$unsorted)) % 15.51/15.71 (define @t35 () (= @t21 (tptp.apply @t1 @t34))) % 15.51/15.71 (define @t36 () (tptp.in @t34 @t11)) % 15.51/15.71 (define @t37 () (and @t36 @t35)) % 15.51/15.71 (define @t38 () (@list @t34)) % 15.51/15.71 (define @t39 () (exists @t38 @t37)) % 15.51/15.71 (define @t40 () (tptp.in @t21 @t2)) % 15.51/15.71 (define @t41 () (= @t40 @t39)) % 15.51/15.71 (define @t42 () (@list @t21)) % 15.51/15.71 (define @t43 () (forall @t42 @t41)) % 15.51/15.71 (define @t44 () (= @t2 @t16)) % 15.51/15.71 (define @t45 () (= @t44 @t43)) % 15.51/15.71 (define @t46 () (forall @t6 @t45)) % 15.51/15.71 (define @t47 () (=> @t24 @t46)) % 15.51/15.71 (define @t48 () (forall @t7 @t47)) % 15.51/15.71 (define @t49 () (not @t27)) % 15.51/15.71 (define @t50 () (not @t29)) % 15.51/15.71 (define @t51 () (not @t30)) % 15.51/15.71 (define @t52 () (or @t51 @t50 @t49 @t26)) % 15.51/15.71 (define @t53 () (forall @t3 @t52)) % 15.51/15.71 (define @t54 () (@quantifiers_skolemize @t53 1)) % 15.51/15.71 (define @t55 () (tptp.relation_dom @t54)) % 15.51/15.71 (define @t56 () (@quantifiers_skolemize @t53 0)) % 15.51/15.71 (define @t57 () (tptp.in @t56 @t55)) % 15.51/15.71 (define @t58 () (tptp.relation_rng @t54)) % 15.51/15.71 (define @t59 () (tptp.apply @t54 @t56)) % 15.51/15.71 (define @t60 () (tptp.in @t59 @t58)) % 15.51/15.71 (define @t61 () (not @t57)) % 15.51/15.71 (define @t62 () (tptp.function @t54)) % 15.51/15.71 (define @t63 () (not @t62)) % 15.51/15.71 (define @t64 () (tptp.relation @t54)) % 15.51/15.71 (define @t65 () (not @t64)) % 15.51/15.71 (define @t66 () (or @t65 @t63 @t61 @t60)) % 15.51/15.71 (define @t67 () (@list true)) % 15.51/15.71 (define @t68 () (@list @t66)) % 15.51/15.71 (define @t69 () (@var "BOUND_VARIABLE_7697" $$unsorted)) % 15.51/15.71 (define @t70 () (tptp.in @t21 @t69)) % 15.51/15.71 (define @t71 () (not (forall @t38 (or (not @t36) (not @t35))))) % 15.51/15.71 (define @t72 () (forall @t42 (= @t70 @t71))) % 15.51/15.71 (define @t73 () (= (= @t69 @t16) @t72)) % 15.51/15.71 (define @t74 () (not @t8)) % 15.51/15.71 (define @t75 () (not @t13)) % 15.51/15.71 (define @t76 () (or @t75 @t74 @t73)) % 15.51/15.71 (define @t77 () (@list @t1 @t69)) % 15.51/15.71 (define @t78 () (forall @t77 @t76)) % 15.51/15.71 (define @t79 () (@list @t69)) % 15.51/15.71 (define @t80 () (forall @t79 @t76)) % 15.51/15.71 (define @t81 () (forall @t79 @t73)) % 15.51/15.71 (define @t82 () (or @t75 @t74 @t81)) % 15.51/15.71 (define @t83 () (forall @t6 (= @t44 (forall @t42 (= @t40 @t71))))) % 15.51/15.71 (define @t84 () (or @t75 @t74 @t83)) % 15.51/15.71 (define @t85 () (forall @t38 (not @t37))) % 15.51/15.71 (define @t86 () (not @t85)) % 15.51/15.71 (define @t87 () (tptp.apply @t54 @t34)) % 15.51/15.71 (define @t88 () (not (tptp.in @t34 @t55))) % 15.51/15.71 (define @t89 () (forall @t42 (= (not (forall @t38 (or @t88 (not (= @t21 @t87))))) (tptp.in @t21 @t58)))) % 15.51/15.71 (define @t90 () (= (= @t58 @t58) @t89)) % 15.51/15.71 (define @t91 () (or @t65 @t63 @t90)) % 15.51/15.71 (define @t92 () (forall @t77 (or @t75 @t74 (= (= @t16 @t69) (forall @t42 (= @t71 @t70)))))) % 15.51/15.71 (define @t93 () (or @t65 @t63 @t89)) % 15.51/15.71 (define @t94 () (@list false)) % 15.51/15.71 (define @t95 () (forall @t38 (or @t88 (not (= @t59 @t87))))) % 15.51/15.71 (define @t96 () (not @t95)) % 15.51/15.71 (define @t97 () (= @t96 @t60)) % 15.51/15.71 (define @t98 () (= @t60 @t96)) % 15.51/15.71 (define @t99 () (not @t98)) % 15.51/15.71 (define @t100 () (not (= @t59 @t59))) % 15.51/15.71 (define @t101 () (or @t61 @t100)) % 15.51/15.71 (assume @p1 (forall @t3 (tptp.subset @t1 @t1))) % 15.51/15.71 (assume @p2 (and @t5 @t4)) % 15.51/15.71 (assume @p3 (and @t5 @t4 (tptp.relation_empty_yielding tptp.empty_set))) % 15.51/15.71 (assume @p4 @t5) % 15.51/15.71 (assume @p5 (forall @t7 (exists @t6 (tptp.element @t2 @t1)))) % 15.51/15.71 (assume @p6 (forall @t7 (=> @t9 @t8))) % 15.51/15.71 (assume @p7 (forall @t7 (not (tptp.empty @t10)))) % 15.51/15.71 (assume @p8 (forall @t7 (=> @t15 (not @t12)))) % 15.51/15.71 (assume @p9 (forall @t7 (=> @t15 (not @t17)))) % 15.51/15.71 (assume @p10 (forall @t7 (=> @t9 (and @t12 (tptp.relation @t11))))) % 15.51/15.71 (assume @p11 (forall @t7 (=> @t9 (and @t17 (tptp.relation @t16))))) % 15.51/15.71 (assume @p12 (forall @t7 (=> @t9 @t13))) % 15.51/15.71 (assume @p13 (forall @t3 (=> @t20 (or @t19 @t18)))) % 15.51/15.71 (assume @p14 (forall @t3 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 15.51/15.71 (assume @p15 (forall @t23 (=> (and @t18 @t22) (tptp.element @t1 @t21)))) % 15.51/15.71 (assume @p16 (forall @t23 (not (and @t18 @t22 (tptp.empty @t21))))) % 15.51/15.71 (assume @p17 (forall @t7 (=> @t9 (= @t1 tptp.empty_set)))) % 15.51/15.71 (assume @p18 (forall @t3 (not (and @t9 (not (= @t1 @t2)) @t19)))) % 15.51/15.71 (assume @p19 (forall @t3 (=> @t18 (not (tptp.in @t2 @t1))))) % 15.51/15.71 (assume @p20 (exists @t7 @t24)) % 15.51/15.71 (assume @p21 (forall @t7 (=> @t14 (exists @t6 (and @t25 (not @t19)))))) % 15.51/15.71 (assume @p22 (forall @t7 (exists @t6 (and @t25 @t19)))) % 15.51/15.71 (assume @p23 (exists @t7 (and @t9 @t13))) % 15.51/15.71 (assume @p24 (exists @t7 @t15)) % 15.51/15.71 (assume @p25 (exists @t7 (and @t13 (tptp.relation_empty_yielding @t1)))) % 15.51/15.71 (assume @p26 (exists @t7 @t9)) % 15.51/15.71 (assume @p27 (exists @t7 @t14)) % 15.51/15.71 (assume @p28 (forall @t3 (=> @t18 @t20))) % 15.51/15.71 (assume @p29 (forall @t3 (not (and @t18 @t19)))) % 15.51/15.71 (assume @p30 @t33) % 15.51/15.71 (assume @p31 @t48) % 15.51/15.71 (assume @p32 true) % 15.51/15.71 (step @p33 :rule aci_norm :args ((= (or (or @t51 @t50) (or @t49 @t26)) @t52))) % 15.51/15.71 (step @p34 :rule bool-impl-elim :args (@t27 @t26)) % 15.51/15.71 (step @p35 :rule bool-and-de-morgan :args (@t30 @t29 true)) % 15.51/15.71 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or (not @t31) @t28))) % 15.51/15.71 (step @p37 :rule trans :premises (@p36 @p33)) % 15.51/15.71 (step @p38 :rule bool-impl-elim :args (@t31 @t28)) % 15.51/15.71 (step @p39 :rule trans :premises (@p38 @p37)) % 15.51/15.71 (step @p40 :rule cong :premises (@p39) :args (@t32)) % 15.51/15.71 (step @p41 :rule cong :premises (@p40) :args (@t33)) % 15.51/15.71 (step @p42 :rule eq_resolve :premises (@p30 @p41)) % 15.51/15.71 (step @p43 :rule skolemize :premises (@p42)) % 15.51/15.71 (step @p44 :rule bool-double-not-elim :args (@t57)) % 15.51/15.71 (step @p45 :rule refl :args (@t66)) % 15.51/15.71 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t66 (not @t61)))) % 15.51/15.71 (step @p47 :rule cnf_or_neg :args (@t66 2)) % 15.51/15.71 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 15.51/15.71 (step @p49 :rule reordering :premises (@p48) :args ((or @t57 @t66))) % 15.51/15.71 (step @p50 :rule chain_m_resolution :premises (@p49 @p43) :args (@t57 @t67 @t68)) % 15.51/15.71 (step @p51 :rule eq-symm :args (@t70 @t71)) % 15.51/15.71 (step @p52 :rule cong :premises (@p51) :args (@t72)) % 15.51/15.71 (step @p53 :rule eq-symm :args (@t69 @t16)) % 15.51/15.71 (step @p54 :rule cong :premises (@p53 @p52) :args (@t73)) % 15.51/15.71 (step @p55 :rule refl :args (@t74)) % 15.51/15.71 (step @p56 :rule refl :args (@t75)) % 15.51/15.71 (step @p57 :rule nary_cong :premises (@p56 @p55 @p54) :args (@t76)) % 15.51/15.71 (step @p58 :rule cong :premises (@p57) :args (@t78)) % 15.51/15.71 (step @p59 :rule quant-merge-prenex :args ((= (forall @t7 @t80) @t78))) % 15.51/15.71 (step @p60 :rule alpha_equiv :args (@t81 (@list @t69) (@list @t2))) % 15.51/15.71 (step @p61 :rule refl :args (@t74)) % 15.51/15.71 (step @p62 :rule refl :args (@t75)) % 15.51/15.71 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60) :args (@t82)) % 15.51/15.71 (step @p64 :rule quant-miniscope-or :args ((= @t80 @t82))) % 15.51/15.71 (step @p65 :rule trans :premises (@p64 @p63)) % 15.51/15.71 (step @p66 :rule symm :premises (@p65)) % 15.51/15.71 (step @p67 :rule cong :premises (@p66) :args ((forall @t7 @t84))) % 15.51/15.71 (step @p68 :rule trans :premises (@p67 @p59)) % 15.51/15.71 (step @p69 :rule trans :premises (@p68 @p58)) % 15.51/15.71 (step @p70 :rule aci_norm :args ((= (or (or @t75 @t74) @t83) @t84))) % 15.51/15.71 (step @p71 :rule refl :args (@t83)) % 15.51/15.71 (step @p72 :rule bool-and-de-morgan :args (@t13 @t8 true)) % 15.51/15.71 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or (not @t24) @t83))) % 15.51/15.71 (step @p74 :rule trans :premises (@p73 @p70)) % 15.51/15.71 (step @p75 :rule bool-impl-elim :args (@t24 @t83)) % 15.51/15.71 (step @p76 :rule trans :premises (@p75 @p74)) % 15.51/15.71 (step @p77 :rule cong :premises (@p76) :args ((forall @t7 (=> @t24 @t83)))) % 15.51/15.71 (step @p78 :rule trans :premises (@p77 @p69)) % 15.51/15.71 (step @p79 :rule bool-and-de-morgan :args (@t36 @t35 true)) % 15.51/15.71 (step @p80 :rule cong :premises (@p79) :args (@t85)) % 15.51/15.71 (step @p81 :rule cong :premises (@p80) :args (@t86)) % 15.51/15.71 (step @p82 :rule exists-elim :args ((= @t39 @t86))) % 15.51/15.71 (step @p83 :rule trans :premises (@p82 @p81)) % 15.51/15.71 (step @p84 :rule refl :args (@t40)) % 15.51/15.71 (step @p85 :rule cong :premises (@p84 @p83) :args (@t41)) % 15.51/15.71 (step @p86 :rule cong :premises (@p85) :args (@t43)) % 15.51/15.71 (step @p87 :rule refl :args (@t44)) % 15.51/15.71 (step @p88 :rule cong :premises (@p87 @p86) :args (@t45)) % 15.51/15.71 (step @p89 :rule cong :premises (@p88) :args (@t46)) % 15.51/15.71 (step @p90 :rule refl :args (@t24)) % 15.51/15.71 (step @p91 :rule cong :premises (@p90 @p89) :args (@t47)) % 15.51/15.71 (step @p92 :rule cong :premises (@p91) :args (@t48)) % 15.51/15.71 (step @p93 :rule trans :premises (@p92 @p78)) % 15.51/15.71 (step @p94 :rule eq_resolve :premises (@p31 @p93)) % 15.51/15.71 (step @p95 :rule bool-eq-true :args (@t89)) % 15.51/15.71 (step @p96 :rule eq-symm :args (true @t89)) % 15.51/15.71 (step @p97 :rule trans :premises (@p96 @p95)) % 15.51/15.71 (step @p98 :rule refl :args (@t89)) % 15.51/15.71 (step @p99 :rule eq-refl :args (@t58)) % 15.51/15.71 (step @p100 :rule cong :premises (@p99 @p98) :args (@t90)) % 15.51/15.71 (step @p101 :rule trans :premises (@p100 @p97)) % 15.51/15.71 (step @p102 :rule refl :args (@t63)) % 15.51/15.71 (step @p103 :rule refl :args (@t65)) % 15.51/15.71 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101) :args (@t91)) % 15.51/15.71 (step @p105 :rule refl :args (@t92)) % 15.51/15.71 (step @p106 :rule cong :premises (@p105 @p104) :args ((=> @t92 @t91))) % 15.51/15.71 (assume-push @p166 @t92) % 15.51/15.71 (step @p108 :rule instantiate :premises (@p94) :args ((@list @t54 @t58))) % 15.51/15.71 (step-pop @p167 :rule scope :premises (@p108)) % 15.51/15.71 (step @p109 :rule process_scope :premises (@p167) :args (@t91)) % 15.51/15.71 (step @p111 :rule eq_resolve :premises (@p109 @p106)) % 15.51/15.71 (step @p112 :rule implies_elim :premises (@p111)) % 15.51/15.71 (step @p113 :rule chain_m_resolution :premises (@p112 @p94) :args (@t93 @t94 (@list @t92))) % 15.51/15.71 (step @p114 :rule bool-double-not-elim :args (@t62)) % 15.51/15.71 (step @p115 :rule nary_cong :premises (@p45 @p114) :args ((or @t66 (not @t63)))) % 15.51/15.71 (step @p116 :rule cnf_or_neg :args (@t66 1)) % 15.51/15.71 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 15.51/15.71 (step @p118 :rule reordering :premises (@p117) :args ((or @t62 @t66))) % 15.51/15.71 (step @p119 :rule chain_m_resolution :premises (@p118 @p43) :args (@t62 @t67 @t68)) % 15.51/15.71 (step @p120 :rule bool-double-not-elim :args (@t64)) % 15.51/15.71 (step @p121 :rule nary_cong :premises (@p45 @p120) :args ((or @t66 (not @t65)))) % 15.51/15.71 (step @p122 :rule cnf_or_neg :args (@t66 0)) % 15.51/15.71 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 15.51/15.71 (step @p124 :rule reordering :premises (@p123) :args ((or @t64 @t66))) % 15.51/15.71 (step @p125 :rule chain_m_resolution :premises (@p124 @p43) :args (@t64 @t67 @t68)) % 15.51/15.71 (step @p126 :rule cnf_or_pos :args (@t93)) % 15.51/15.71 (step @p127 :rule reordering :premises (@p126) :args ((or @t65 @t63 @t89 (not @t93)))) % 15.51/15.71 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p119 @p113) :args (@t89 (@list false false false) (@list @t64 @t62 @t93))) % 15.51/15.71 (step @p129 :rule eq-symm :args (@t96 @t60)) % 15.51/15.71 (step @p130 :rule cong :premises (@p98 @p129) :args ((=> @t89 @t97))) % 15.51/15.71 (assume-push @p168 @t89) % 15.51/15.71 (step @p132 :rule instantiate :premises (@p128) :args ((@list @t59))) % 15.51/15.71 (step-pop @p169 :rule scope :premises (@p132)) % 15.51/15.71 (step @p133 :rule process_scope :premises (@p169) :args (@t97)) % 15.51/15.71 (step @p135 :rule eq_resolve :premises (@p133 @p130)) % 15.51/15.71 (step @p136 :rule implies_elim :premises (@p135)) % 15.51/15.71 (step @p137 :rule chain_m_resolution :premises (@p136 @p128) :args (@t98 @t94 (@list @t89))) % 15.51/15.71 (step @p138 :rule cnf_or_neg :args (@t66 3)) % 15.51/15.71 (step @p139 :rule chain_m_resolution :premises (@p138 @p43) :args ((not @t60) @t67 @t68)) % 15.51/15.72 (step @p140 :rule bool-double-not-elim :args (@t95)) % 15.51/15.72 (step @p141 :rule refl :args (@t60)) % 15.51/15.72 (step @p142 :rule refl :args (@t99)) % 15.51/15.72 (step @p143 :rule nary_cong :premises (@p142 @p141 @p140) :args ((or @t99 @t60 (not @t96)))) % 15.51/15.72 (step @p144 :rule cnf_equiv_pos2 :args (@t98)) % 15.51/15.72 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 15.51/15.72 (step @p146 :rule reordering :premises (@p145) :args ((or @t60 @t95 @t99))) % 15.51/15.72 (step @p147 :rule chain_m_resolution :premises (@p146 @p139 @p137) :args (@t95 (@list true false) (@list @t60 @t98))) % 15.51/15.72 (step @p148 :rule aci_norm :args ((= (or @t61 false) @t61))) % 15.51/15.72 (step @p149 :rule evaluate :args ((not true))) % 15.51/15.72 (step @p150 :rule eq-refl :args (@t59)) % 15.51/15.72 (step @p151 :rule cong :premises (@p150) :args (@t100)) % 15.51/15.72 (step @p152 :rule trans :premises (@p151 @p149)) % 15.51/15.72 (step @p153 :rule refl :args (@t61)) % 15.51/15.72 (step @p154 :rule nary_cong :premises (@p153 @p152) :args (@t101)) % 15.51/15.72 (step @p155 :rule trans :premises (@p154 @p148)) % 15.51/15.72 (step @p156 :rule refl :args (@t95)) % 15.51/15.72 (step @p157 :rule cong :premises (@p156 @p155) :args ((=> @t95 @t101))) % 15.51/15.72 (assume-push @p170 @t95) % 15.51/15.72 (step @p159 :rule instantiate :premises (@p147) :args ((@list @t56))) % 15.51/15.72 (step-pop @p171 :rule scope :premises (@p159)) % 15.51/15.72 (step @p160 :rule process_scope :premises (@p171) :args (@t101)) % 15.51/15.72 (step @p162 :rule eq_resolve :premises (@p160 @p157)) % 15.51/15.72 (step @p163 :rule implies_elim :premises (@p162)) % 15.51/15.72 (step @p164 :rule reordering :premises (@p163) :args ((or @t61 @t96))) % 15.51/15.72 (step @p165 false :rule chain_m_resolution :premises (@p164 @p147 @p50) :args (false (@list false false) (@list @t95 @t57))) % 15.51/15.72 ) % 15.51/15.72 % SZS output end Proof % 15.51/15.72 % cvc5 exiting %------------------------------------------------------------------------------