%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET887+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:48:55 AM UTC 2026 % Result : Theorem 0.40s 0.63s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET887+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n022.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:17:08 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.63 % SZS status Theorem % 0.40/0.63 % SZS output start Proof % 0.40/0.63 ( % 0.40/0.63 (declare-sort $$unsorted 0) % 0.40/0.63 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.40/0.63 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.40/0.63 (declare-const tptp.empty_set $$unsorted) % 0.40/0.63 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.40/0.63 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.63 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.40/0.63 (define @t1 () (@var "A" $$unsorted)) % 0.40/0.63 (define @t2 () (@var "B" $$unsorted)) % 0.40/0.63 (define @t3 () (not (tptp.in @t2 @t1))) % 0.40/0.63 (define @t4 () (@list @t1 @t2)) % 0.40/0.63 (define @t5 () (tptp.unordered_pair @t1 @t2)) % 0.40/0.63 (define @t6 () (@list @t2)) % 0.40/0.63 (define @t7 () (= @t1 tptp.empty_set)) % 0.40/0.63 (define @t8 () (@list @t1)) % 0.40/0.63 (define @t9 () (forall @t8 (= @t7 (forall @t6 @t3)))) % 0.40/0.63 (define @t10 () (@var "D" $$unsorted)) % 0.40/0.63 (define @t11 () (or (= @t10 @t1) (= @t10 @t2))) % 0.40/0.63 (define @t12 () (@var "C" $$unsorted)) % 0.40/0.63 (define @t13 () (tptp.in @t10 @t12)) % 0.40/0.63 (define @t14 () (= @t13 @t11)) % 0.40/0.63 (define @t15 () (@list @t10)) % 0.40/0.63 (define @t16 () (forall @t15 @t14)) % 0.40/0.63 (define @t17 () (= (= @t12 @t5) @t16)) % 0.40/0.63 (define @t18 () (@list @t1 @t2 @t12)) % 0.40/0.63 (define @t19 () (forall @t18 @t17)) % 0.40/0.63 (define @t20 () (tptp.unordered_pair @t2 @t12)) % 0.40/0.63 (define @t21 () (= @t1 @t20)) % 0.40/0.63 (define @t22 () (not @t21)) % 0.40/0.63 (define @t23 () (= @t1 (tptp.singleton @t12))) % 0.40/0.63 (define @t24 () (not @t23)) % 0.40/0.63 (define @t25 () (= @t1 (tptp.singleton @t2))) % 0.40/0.63 (define @t26 () (not @t25)) % 0.40/0.63 (define @t27 () (not @t7)) % 0.40/0.63 (define @t28 () (tptp.subset @t1 @t20)) % 0.40/0.63 (define @t29 () (= @t28 (not (and @t27 @t26 @t24 @t22)))) % 0.40/0.63 (define @t30 () (forall @t18 @t29)) % 0.40/0.63 (define @t31 () (tptp.empty @t1)) % 0.40/0.63 (define @t32 () (= @t1 @t10)) % 0.40/0.63 (define @t33 () (not @t32)) % 0.40/0.63 (define @t34 () (= @t1 @t12)) % 0.40/0.63 (define @t35 () (not @t34)) % 0.40/0.63 (define @t36 () (tptp.unordered_pair @t12 @t10)) % 0.40/0.63 (define @t37 () (= @t5 @t36)) % 0.40/0.63 (define @t38 () (@list @t1 @t2 @t12 @t10)) % 0.40/0.63 (define @t39 () (forall @t38 (not (and @t37 @t35 @t33)))) % 0.40/0.63 (define @t40 () (tptp.subset @t5 @t36)) % 0.40/0.63 (define @t41 () (forall @t38 (not (and @t40 @t35 @t33)))) % 0.40/0.63 (define @t42 () (not @t41)) % 0.40/0.63 (define @t43 () (= @t1 @t2)) % 0.40/0.63 (define @t44 () (tptp.singleton @t1)) % 0.40/0.63 (define @t45 () (=> (= @t44 @t20) @t43)) % 0.40/0.63 (define @t46 () (forall @t18 @t45)) % 0.40/0.63 (define @t47 () (= @t20 @t44)) % 0.40/0.63 (define @t48 () (not @t22)) % 0.40/0.63 (define @t49 () (not @t24)) % 0.40/0.63 (define @t50 () (not @t26)) % 0.40/0.63 (define @t51 () (not @t27)) % 0.40/0.63 (define @t52 () (or @t51 @t50 @t49 @t48)) % 0.40/0.63 (define @t53 () (not @t40)) % 0.40/0.63 (define @t54 () (forall @t38 (or @t53 @t34 @t32))) % 0.40/0.63 (define @t55 () (@quantifiers_skolemize @t54 3)) % 0.40/0.63 (define @t56 () (@quantifiers_skolemize @t54 2)) % 0.40/0.63 (define @t57 () (tptp.unordered_pair @t56 @t55)) % 0.40/0.63 (define @t58 () (@quantifiers_skolemize @t54 1)) % 0.40/0.63 (define @t59 () (@quantifiers_skolemize @t54 0)) % 0.40/0.63 (define @t60 () (tptp.unordered_pair @t59 @t58)) % 0.40/0.63 (define @t61 () (= @t60 @t57)) % 0.40/0.63 (define @t62 () (= @t60 (tptp.singleton @t55))) % 0.40/0.63 (define @t63 () (= @t60 (tptp.singleton @t56))) % 0.40/0.63 (define @t64 () (= @t60 tptp.empty_set)) % 0.40/0.63 (define @t65 () (or @t64 @t63 @t62 @t61)) % 0.40/0.63 (define @t66 () (tptp.subset @t60 @t57)) % 0.40/0.63 (define @t67 () (= @t66 @t65)) % 0.40/0.63 (define @t68 () (forall @t18 (= @t28 (or @t7 @t25 @t23 @t21)))) % 0.40/0.63 (define @t69 () (= tptp.empty_set @t60)) % 0.40/0.63 (define @t70 () (or @t69 @t63 @t62 @t61)) % 0.40/0.63 (define @t71 () (= @t66 @t70)) % 0.40/0.63 (define @t72 () (@list false)) % 0.40/0.63 (define @t73 () (not @t33)) % 0.40/0.63 (define @t74 () (not @t35)) % 0.40/0.63 (define @t75 () (or @t53 @t74 @t73)) % 0.40/0.63 (define @t76 () (or @t74 @t73)) % 0.40/0.63 (define @t77 () (not (and @t35 @t33))) % 0.40/0.63 (define @t78 () (= @t59 @t55)) % 0.40/0.63 (define @t79 () (= @t59 @t56)) % 0.40/0.63 (define @t80 () (not @t66)) % 0.40/0.63 (define @t81 () (or @t80 @t79 @t78)) % 0.40/0.63 (define @t82 () (@list true)) % 0.40/0.63 (define @t83 () (@list @t81)) % 0.40/0.63 (define @t84 () (or (= @t59 @t10) (= @t58 @t10))) % 0.40/0.63 (define @t85 () (tptp.in @t10 tptp.empty_set)) % 0.40/0.63 (define @t86 () (= @t85 @t84)) % 0.40/0.63 (define @t87 () (forall @t15 @t86)) % 0.40/0.63 (define @t88 () (= @t64 @t87)) % 0.40/0.63 (define @t89 () (forall @t18 (= (= @t5 @t12) (forall @t15 (= @t13 (or @t32 (= @t2 @t10))))))) % 0.40/0.63 (define @t90 () (forall @t15 (= @t85 (or (= @t10 @t59) (= @t10 @t58))))) % 0.40/0.63 (define @t91 () (= @t69 @t90)) % 0.40/0.63 (define @t92 () (forall @t6 (not (tptp.in @t2 tptp.empty_set)))) % 0.40/0.63 (define @t93 () (= (= tptp.empty_set tptp.empty_set) @t92)) % 0.40/0.63 (define @t94 () (@list @t58)) % 0.40/0.63 (define @t95 () (tptp.in @t58 tptp.empty_set)) % 0.40/0.63 (define @t96 () (or (= @t58 @t59) (= @t58 @t58))) % 0.40/0.63 (define @t97 () (= @t95 @t96)) % 0.40/0.63 (define @t98 () (not @t69)) % 0.40/0.63 (define @t99 () (@list true false)) % 0.40/0.63 (define @t100 () (not @t37)) % 0.40/0.63 (define @t101 () (or @t100 @t74 @t73)) % 0.40/0.63 (define @t102 () (not @t61)) % 0.40/0.63 (define @t103 () (or @t102 @t79 @t78)) % 0.40/0.63 (define @t104 () (not @t63)) % 0.40/0.63 (define @t105 () (or @t104 (= @t56 @t59))) % 0.40/0.63 (define @t106 () (forall @t18 (or (not @t47) @t43))) % 0.40/0.63 (define @t107 () (or @t104 @t79)) % 0.40/0.63 (define @t108 () (not @t62)) % 0.40/0.63 (define @t109 () (or @t108 @t78)) % 0.40/0.63 (define @t110 () (not @t109)) % 0.40/0.63 (define @t111 () (or @t108 (= @t55 @t59))) % 0.40/0.63 (assume @p1 (forall @t4 (=> (tptp.in @t1 @t2) @t3))) % 0.40/0.63 (assume @p2 (forall @t4 (= @t5 (tptp.unordered_pair @t2 @t1)))) % 0.40/0.63 (assume @p3 @t9) % 0.40/0.63 (assume @p4 @t19) % 0.40/0.63 (assume @p5 (tptp.empty tptp.empty_set)) % 0.40/0.63 (assume @p6 @t30) % 0.40/0.63 (assume @p7 (exists @t8 @t31)) % 0.40/0.63 (assume @p8 (exists @t8 (not @t31))) % 0.40/0.63 (assume @p9 (forall @t4 (tptp.subset @t1 @t1))) % 0.40/0.63 (assume @p10 @t39) % 0.40/0.63 (assume @p11 @t42) % 0.40/0.63 (assume @p12 @t46) % 0.40/0.63 (assume @p13 true) % 0.40/0.63 (step @p14 :rule bool-impl-elim :args (@t47 @t43)) % 0.40/0.63 (step @p15 :rule cong :premises (@p14) :args ((forall @t18 (=> @t47 @t43)))) % 0.40/0.63 (step @p16 :rule refl :args (@t43)) % 0.40/0.63 (step @p17 :rule eq-symm :args (@t44 @t20)) % 0.40/0.63 (step @p18 :rule cong :premises (@p17 @p16) :args (@t45)) % 0.40/0.63 (step @p19 :rule cong :premises (@p18) :args (@t46)) % 0.40/0.63 (step @p20 :rule trans :premises (@p19 @p15)) % 0.40/0.63 (step @p21 :rule eq_resolve :premises (@p12 @p20)) % 0.40/0.63 (step @p22 :rule bool-double-not-elim :args (@t21)) % 0.40/0.63 (step @p23 :rule bool-double-not-elim :args (@t23)) % 0.40/0.63 (step @p24 :rule bool-double-not-elim :args (@t25)) % 0.40/0.63 (step @p25 :rule bool-double-not-elim :args (@t7)) % 0.40/0.63 (step @p26 :rule nary_cong :premises (@p25 @p24 @p23 @p22) :args (@t52)) % 0.40/0.63 (step @p27 :rule aci_norm :args ((= (or @t51 (or @t50 (or @t49 @t48))) @t52))) % 0.40/0.63 (step @p28 :rule trans :premises (@p27 @p26)) % 0.40/0.63 (step @p29 :rule bool-and-de-morgan :args (@t24 @t22 true)) % 0.40/0.63 (step @p30 :rule refl :args (@t50)) % 0.40/0.64 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t50 (not (and @t24 @t22))))) % 0.40/0.64 (step @p32 :rule bool-and-de-morgan :args (@t26 @t24 (and @t22))) % 0.40/0.64 (step @p33 :rule trans :premises (@p32 @p31)) % 0.40/0.64 (step @p34 :rule refl :args (@t51)) % 0.40/0.64 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t51 (not (and @t26 @t24 @t22))))) % 0.40/0.64 (step @p36 :rule bool-and-de-morgan :args (@t27 @t26 (and @t24 @t22))) % 0.40/0.64 (step @p37 :rule trans :premises (@p36 @p35)) % 0.40/0.64 (step @p38 :rule trans :premises (@p37 @p28)) % 0.40/0.64 (step @p39 :rule refl :args (@t28)) % 0.40/0.64 (step @p40 :rule cong :premises (@p39 @p38) :args (@t29)) % 0.40/0.64 (step @p41 :rule cong :premises (@p40) :args (@t30)) % 0.40/0.64 (step @p42 :rule eq_resolve :premises (@p6 @p41)) % 0.40/0.64 (step @p43 :rule refl :args (@t61)) % 0.40/0.64 (step @p44 :rule refl :args (@t62)) % 0.40/0.64 (step @p45 :rule refl :args (@t63)) % 0.40/0.64 (step @p46 :rule eq-symm :args (@t60 tptp.empty_set)) % 0.40/0.64 (step @p47 :rule nary_cong :premises (@p46 @p45 @p44 @p43) :args (@t65)) % 0.40/0.64 (step @p48 :rule refl :args (@t66)) % 0.40/0.64 (step @p49 :rule cong :premises (@p48 @p47) :args (@t67)) % 0.40/0.64 (step @p50 :rule refl :args (@t68)) % 0.40/0.64 (step @p51 :rule cong :premises (@p50 @p49) :args ((=> @t68 @t67))) % 0.40/0.64 (assume-push @p198 @t68) % 0.40/0.64 (step @p53 :rule instantiate :premises (@p42) :args ((@list @t60 @t56 @t55))) % 0.40/0.64 (step-pop @p199 :rule scope :premises (@p53)) % 0.40/0.64 (step @p54 :rule process_scope :premises (@p199) :args (@t67)) % 0.40/0.64 (step @p56 :rule eq_resolve :premises (@p54 @p51)) % 0.40/0.64 (step @p57 :rule implies_elim :premises (@p56)) % 0.40/0.64 (step @p58 :rule chain_m_resolution :premises (@p57 @p42) :args (@t71 @t72 (@list @t68))) % 0.40/0.64 (step @p59 :rule bool-double-not-elim :args (@t32)) % 0.40/0.64 (step @p60 :rule bool-double-not-elim :args (@t34)) % 0.40/0.64 (step @p61 :rule refl :args (@t53)) % 0.40/0.64 (step @p62 :rule nary_cong :premises (@p61 @p60 @p59) :args (@t75)) % 0.40/0.64 (step @p63 :rule aci_norm :args ((= (or @t53 @t76) @t75))) % 0.40/0.64 (step @p64 :rule trans :premises (@p63 @p62)) % 0.40/0.64 (step @p65 :rule bool-and-de-morgan :args (@t35 @t33 true)) % 0.40/0.64 (step @p66 :rule nary_cong :premises (@p61 @p65) :args ((or @t53 @t77))) % 0.40/0.64 (step @p67 :rule bool-and-de-morgan :args (@t40 @t35 (and @t33))) % 0.40/0.64 (step @p68 :rule trans :premises (@p67 @p66)) % 0.40/0.64 (step @p69 :rule trans :premises (@p68 @p64)) % 0.40/0.64 (step @p70 :rule cong :premises (@p69) :args (@t41)) % 0.40/0.64 (step @p71 :rule cong :premises (@p70) :args (@t42)) % 0.40/0.64 (step @p72 :rule eq_resolve :premises (@p11 @p71)) % 0.40/0.64 (step @p73 :rule skolemize :premises (@p72)) % 0.40/0.64 (step @p74 :rule bool-double-not-elim :args (@t66)) % 0.40/0.64 (step @p75 :rule refl :args (@t81)) % 0.40/0.64 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or @t81 (not @t80)))) % 0.40/0.64 (step @p77 :rule cnf_or_neg :args (@t81 0)) % 0.40/0.64 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 0.40/0.64 (step @p79 :rule reordering :premises (@p78) :args ((or @t66 @t81))) % 0.40/0.64 (step @p80 :rule chain_m_resolution :premises (@p79 @p73) :args (@t66 @t82 @t83)) % 0.40/0.64 (step @p81 :rule cnf_equiv_pos1 :args (@t71)) % 0.40/0.64 (step @p82 :rule reordering :premises (@p81) :args ((or @t80 @t70 (not @t71)))) % 0.40/0.64 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p58) :args (@t70 (@list false false) (@list @t66 @t71))) % 0.40/0.64 (step @p84 :rule eq-symm :args (@t10 @t2)) % 0.40/0.64 (step @p85 :rule eq-symm :args (@t10 @t1)) % 0.40/0.64 (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t11)) % 0.40/0.64 (step @p87 :rule refl :args (@t13)) % 0.40/0.64 (step @p88 :rule cong :premises (@p87 @p86) :args (@t14)) % 0.40/0.64 (step @p89 :rule cong :premises (@p88) :args (@t16)) % 0.40/0.64 (step @p90 :rule eq-symm :args (@t12 @t5)) % 0.40/0.64 (step @p91 :rule cong :premises (@p90 @p89) :args (@t17)) % 0.40/0.64 (step @p92 :rule cong :premises (@p91) :args (@t19)) % 0.40/0.64 (step @p93 :rule eq_resolve :premises (@p4 @p92)) % 0.40/0.64 (step @p94 :rule eq-symm :args (@t58 @t10)) % 0.40/0.64 (step @p95 :rule eq-symm :args (@t59 @t10)) % 0.40/0.64 (step @p96 :rule nary_cong :premises (@p95 @p94) :args (@t84)) % 0.40/0.64 (step @p97 :rule refl :args (@t85)) % 0.40/0.64 (step @p98 :rule cong :premises (@p97 @p96) :args (@t86)) % 0.40/0.64 (step @p99 :rule cong :premises (@p98) :args (@t87)) % 0.40/0.64 (step @p100 :rule cong :premises (@p46 @p99) :args (@t88)) % 0.40/0.64 (step @p101 :rule refl :args (@t89)) % 0.40/0.64 (step @p102 :rule cong :premises (@p101 @p100) :args ((=> @t89 @t88))) % 0.40/0.64 (assume-push @p200 @t89) % 0.40/0.64 (step @p104 :rule instantiate :premises (@p93) :args ((@list @t59 @t58 tptp.empty_set))) % 0.40/0.64 (step-pop @p201 :rule scope :premises (@p104)) % 0.40/0.64 (step @p105 :rule process_scope :premises (@p201) :args (@t88)) % 0.40/0.64 (step @p107 :rule eq_resolve :premises (@p105 @p102)) % 0.40/0.64 (step @p108 :rule implies_elim :premises (@p107)) % 0.40/0.64 (step @p109 :rule chain_m_resolution :premises (@p108 @p93) :args (@t91 @t72 (@list @t89))) % 0.40/0.64 (step @p110 :rule bool-eq-true :args (@t92)) % 0.40/0.64 (step @p111 :rule eq-symm :args (true @t92)) % 0.40/0.64 (step @p112 :rule trans :premises (@p111 @p110)) % 0.40/0.64 (step @p113 :rule refl :args (@t92)) % 0.40/0.64 (step @p114 :rule eq-refl :args (tptp.empty_set)) % 0.40/0.64 (step @p115 :rule cong :premises (@p114 @p113) :args (@t93)) % 0.40/0.64 (step @p116 :rule trans :premises (@p115 @p112)) % 0.40/0.64 (step @p117 :rule refl :args (@t9)) % 0.40/0.64 (step @p118 :rule cong :premises (@p117 @p116) :args ((=> @t9 @t93))) % 0.40/0.64 (assume-push @p202 @t9) % 0.40/0.64 (step @p120 :rule instantiate :premises (@p3) :args ((@list tptp.empty_set))) % 0.40/0.64 (step-pop @p203 :rule scope :premises (@p120)) % 0.40/0.64 (step @p121 :rule process_scope :premises (@p203) :args (@t93)) % 0.40/0.64 (step @p123 :rule eq_resolve :premises (@p121 @p118)) % 0.40/0.64 (step @p124 :rule implies_elim :premises (@p123)) % 0.40/0.64 (step @p125 :rule chain_m_resolution :premises (@p124 @p3) :args (@t92 @t72 (@list @t9))) % 0.40/0.64 (step @p126 :rule instantiate :premises (@p125) :args (@t94)) % 0.40/0.64 (step @p127 :rule bool-eq-true :args (@t95)) % 0.40/0.64 (step @p128 :rule absorb :args ((= (or (= @t59 @t58) true) true))) % 0.40/0.64 (step @p129 :rule eq-refl :args (@t58)) % 0.40/0.64 (step @p130 :rule eq-symm :args (@t58 @t59)) % 0.40/0.64 (step @p131 :rule nary_cong :premises (@p130 @p129) :args (@t96)) % 0.40/0.64 (step @p132 :rule trans :premises (@p131 @p128)) % 0.40/0.64 (step @p133 :rule refl :args (@t95)) % 0.40/0.64 (step @p134 :rule cong :premises (@p133 @p132) :args (@t97)) % 0.40/0.64 (step @p135 :rule trans :premises (@p134 @p127)) % 0.40/0.64 (step @p136 :rule refl :args (@t90)) % 0.40/0.64 (step @p137 :rule cong :premises (@p136 @p135) :args ((=> @t90 @t97))) % 0.40/0.64 (assume-push @p204 @t90) % 0.40/0.64 (step @p139 :rule instantiate :premises (@p204) :args (@t94)) % 0.40/0.64 (step-pop @p205 :rule scope :premises (@p139)) % 0.40/0.64 (step @p140 :rule process_scope :premises (@p205) :args (@t97)) % 0.40/0.64 (step @p142 :rule eq_resolve :premises (@p140 @p137)) % 0.40/0.64 (step @p143 :rule implies_elim :premises (@p142)) % 0.40/0.64 (step @p144 :rule chain_m_resolution :premises (@p143 @p126) :args ((not @t90) @t82 (@list @t95))) % 0.40/0.64 (step @p145 :rule cnf_equiv_pos1 :args (@t91)) % 0.40/0.64 (step @p146 :rule reordering :premises (@p145) :args ((or @t98 @t90 (not @t91)))) % 0.40/0.64 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p109) :args (@t98 @t99 (@list @t90 @t91))) % 0.40/0.64 (step @p148 :rule refl :args (@t100)) % 0.40/0.64 (step @p149 :rule nary_cong :premises (@p148 @p60 @p59) :args (@t101)) % 0.40/0.64 (step @p150 :rule aci_norm :args ((= (or @t100 @t76) @t101))) % 0.40/0.64 (step @p151 :rule trans :premises (@p150 @p149)) % 0.40/0.64 (step @p152 :rule nary_cong :premises (@p148 @p65) :args ((or @t100 @t77))) % 0.40/0.64 (step @p153 :rule bool-and-de-morgan :args (@t37 @t35 (and @t33))) % 0.40/0.64 (step @p154 :rule trans :premises (@p153 @p152)) % 0.40/0.64 (step @p155 :rule trans :premises (@p154 @p151)) % 0.40/0.64 (step @p156 :rule cong :premises (@p155) :args (@t39)) % 0.40/0.64 (step @p157 :rule eq_resolve :premises (@p10 @p156)) % 0.40/0.64 (step @p158 :rule instantiate :premises (@p157) :args ((@list @t59 @t58 @t56 @t55))) % 0.40/0.64 (step @p159 :rule cnf_or_neg :args (@t81 2)) % 0.40/0.64 (step @p160 :rule chain_m_resolution :premises (@p159 @p73) :args ((not @t78) @t82 @t83)) % 0.40/0.64 (step @p161 :rule cnf_or_neg :args (@t81 1)) % 0.40/0.64 (step @p162 :rule chain_m_resolution :premises (@p161 @p73) :args ((not @t79) @t82 @t83)) % 0.40/0.64 (step @p163 :rule cnf_or_pos :args (@t103)) % 0.40/0.64 (step @p164 :rule reordering :premises (@p163) :args ((or @t79 @t78 @t102 (not @t103)))) % 0.40/0.64 (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p160 @p158) :args (@t102 (@list true true false) (@list @t79 @t78 @t103))) % 0.40/0.64 (step @p166 :rule eq-symm :args (@t56 @t59)) % 0.40/0.64 (step @p167 :rule refl :args (@t104)) % 0.40/0.64 (step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t105)) % 0.40/0.64 (step @p169 :rule refl :args (@t106)) % 0.40/0.64 (step @p170 :rule cong :premises (@p169 @p168) :args ((=> @t106 @t105))) % 0.40/0.64 (assume-push @p206 @t106) % 0.40/0.64 (step @p172 :rule instantiate :premises (@p21) :args ((@list @t56 @t59 @t58))) % 0.40/0.64 (step-pop @p207 :rule scope :premises (@p172)) % 0.40/0.64 (step @p173 :rule process_scope :premises (@p207) :args (@t105)) % 0.40/0.64 (step @p175 :rule eq_resolve :premises (@p173 @p170)) % 0.40/0.64 (step @p176 :rule implies_elim :premises (@p175)) % 0.40/0.64 (step @p177 :rule chain_m_resolution :premises (@p176 @p21) :args (@t107 @t72 (@list @t106))) % 0.40/0.64 (step @p178 :rule cnf_or_pos :args (@t107)) % 0.40/0.64 (step @p179 :rule reordering :premises (@p178) :args ((or @t79 @t104 (not @t107)))) % 0.40/0.64 (step @p180 :rule chain_m_resolution :premises (@p179 @p162 @p177) :args (@t104 @t99 (@list @t79 @t107))) % 0.40/0.64 (step @p181 :rule cnf_or_pos :args (@t70)) % 0.40/0.64 (step @p182 :rule reordering :premises (@p181) :args ((or @t63 @t62 @t61 @t69 (not @t70)))) % 0.40/0.64 (step @p183 :rule chain_m_resolution :premises (@p182 @p180 @p165 @p147 @p83) :args (@t62 (@list true true true false) (@list @t63 @t61 @t69 @t70))) % 0.40/0.64 (step @p184 :rule cnf_or_pos :args (@t109)) % 0.40/0.64 (step @p185 :rule reordering :premises (@p184) :args ((or @t78 @t108 @t110))) % 0.40/0.64 (step @p186 :rule chain_m_resolution :premises (@p185 @p160 @p183) :args (@t110 @t99 (@list @t78 @t62))) % 0.40/0.64 (step @p187 :rule eq-symm :args (@t55 @t59)) % 0.40/0.64 (step @p188 :rule refl :args (@t108)) % 0.40/0.64 (step @p189 :rule nary_cong :premises (@p188 @p187) :args (@t111)) % 0.40/0.64 (step @p190 :rule cong :premises (@p169 @p189) :args ((=> @t106 @t111))) % 0.40/0.64 (assume-push @p208 @t106) % 0.40/0.64 (step @p192 :rule instantiate :premises (@p21) :args ((@list @t55 @t59 @t58))) % 0.40/0.64 (step-pop @p209 :rule scope :premises (@p192)) % 0.40/0.64 (step @p193 :rule process_scope :premises (@p209) :args (@t111)) % 0.40/0.64 (step @p195 :rule eq_resolve :premises (@p193 @p190)) % 0.40/0.64 (step @p196 :rule implies_elim :premises (@p195)) % 0.40/0.64 (step @p197 false :rule chain_m_resolution :premises (@p196 @p186 @p21) :args (false @t99 (@list @t109 @t106))) % 0.40/0.64 ) % 0.40/0.64 % SZS output end Proof % 0.40/0.64 % cvc5 exiting %------------------------------------------------------------------------------