%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU177+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 : n025.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 08:50:51 AM UTC 2026 % Result : Theorem 0.33s 15.96s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU177+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:33:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.33/15.96 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/15.96 --- Run --no-e-matching --full-saturate-quant at 6... % 0.33/15.96 % SZS status Theorem % 0.33/15.96 % SZS output start Proof % 0.33/15.96 ( % 0.33/15.96 (declare-sort $$unsorted 0) % 0.33/15.96 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.33/15.96 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.33/15.96 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.33/15.96 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.33/15.96 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.33/15.96 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.33/15.96 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.33/15.96 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.33/15.96 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.33/15.96 (declare-const tptp.empty_set $$unsorted) % 0.33/15.96 (define @t1 () (@var "A" $$unsorted)) % 0.33/15.96 (define @t2 () (@var "B" $$unsorted)) % 0.33/15.96 (define @t3 () (tptp.unordered_pair @t1 @t2)) % 0.33/15.96 (define @t4 () (@list @t1 @t2)) % 0.33/15.96 (define @t5 () (@list @t2)) % 0.33/15.96 (define @t6 () (@list @t1)) % 0.33/15.96 (define @t7 () (tptp.relation @t1)) % 0.33/15.96 (define @t8 () (tptp.empty @t1)) % 0.33/15.96 (define @t9 () (tptp.singleton @t1)) % 0.33/15.96 (define @t10 () (tptp.in @t1 @t2)) % 0.33/15.96 (define @t11 () (tptp.empty @t2)) % 0.33/15.96 (define @t12 () (tptp.element @t1 @t2)) % 0.33/15.96 (define @t13 () (tptp.ordered_pair @t1 @t2)) % 0.33/15.96 (define @t14 () (@var "C" $$unsorted)) % 0.33/15.96 (define @t15 () (and (tptp.in @t1 (tptp.relation_dom @t14)) (tptp.in @t2 (tptp.relation_rng @t14)))) % 0.33/15.96 (define @t16 () (tptp.in @t13 @t14)) % 0.33/15.96 (define @t17 () (=> @t16 @t15)) % 0.33/15.96 (define @t18 () (tptp.relation @t14)) % 0.33/15.96 (define @t19 () (@list @t1 @t2 @t14)) % 0.33/15.96 (define @t20 () (forall @t19 (=> @t18 @t17))) % 0.33/15.96 (define @t21 () (not @t20)) % 0.33/15.96 (define @t22 () (@var "D" $$unsorted)) % 0.33/15.96 (define @t23 () (tptp.ordered_pair @t14 @t22)) % 0.33/15.96 (define @t24 () (tptp.in @t23 @t1)) % 0.33/15.96 (define @t25 () (@list @t22)) % 0.33/15.96 (define @t26 () (exists @t25 @t24)) % 0.33/15.96 (define @t27 () (tptp.in @t14 @t2)) % 0.33/15.96 (define @t28 () (= @t27 @t26)) % 0.33/15.96 (define @t29 () (@list @t14)) % 0.33/15.96 (define @t30 () (forall @t29 @t28)) % 0.33/15.96 (define @t31 () (tptp.relation_dom @t1)) % 0.33/15.96 (define @t32 () (= @t2 @t31)) % 0.33/15.96 (define @t33 () (= @t32 @t30)) % 0.33/15.96 (define @t34 () (forall @t5 @t33)) % 0.33/15.96 (define @t35 () (=> @t7 @t34)) % 0.33/15.96 (define @t36 () (forall @t6 @t35)) % 0.33/15.96 (define @t37 () (tptp.ordered_pair @t22 @t14)) % 0.33/15.96 (define @t38 () (tptp.in @t37 @t1)) % 0.33/15.96 (define @t39 () (exists @t25 @t38)) % 0.33/15.96 (define @t40 () (= @t27 @t39)) % 0.33/15.96 (define @t41 () (forall @t29 @t40)) % 0.33/15.96 (define @t42 () (tptp.relation_rng @t1)) % 0.33/15.96 (define @t43 () (= @t2 @t42)) % 0.33/15.96 (define @t44 () (= @t43 @t41)) % 0.33/15.96 (define @t45 () (forall @t5 @t44)) % 0.33/15.96 (define @t46 () (=> @t7 @t45)) % 0.33/15.96 (define @t47 () (forall @t6 @t46)) % 0.33/15.96 (define @t48 () (not @t16)) % 0.33/15.96 (define @t49 () (not @t18)) % 0.33/15.96 (define @t50 () (or @t49 @t48 @t15)) % 0.33/15.96 (define @t51 () (forall @t19 @t50)) % 0.33/15.96 (define @t52 () (@quantifiers_skolemize @t51 2)) % 0.33/15.96 (define @t53 () (@quantifiers_skolemize @t51 1)) % 0.33/15.96 (define @t54 () (@quantifiers_skolemize @t51 0)) % 0.33/15.96 (define @t55 () (tptp.in (tptp.ordered_pair @t54 @t53) @t52)) % 0.33/15.96 (define @t56 () (tptp.relation_rng @t52)) % 0.33/15.96 (define @t57 () (tptp.in @t53 @t56)) % 0.33/15.96 (define @t58 () (tptp.relation_dom @t52)) % 0.33/15.96 (define @t59 () (tptp.in @t54 @t58)) % 0.33/15.96 (define @t60 () (and @t59 @t57)) % 0.33/15.96 (define @t61 () (not @t55)) % 0.33/15.96 (define @t62 () (tptp.relation @t52)) % 0.33/15.96 (define @t63 () (not @t62)) % 0.33/15.96 (define @t64 () (or @t63 @t61 @t60)) % 0.33/15.96 (define @t65 () (@list true)) % 0.33/15.96 (define @t66 () (@list @t64)) % 0.33/15.96 (define @t67 () (@var "BOUND_VARIABLE_7609" $$unsorted)) % 0.33/15.96 (define @t68 () (tptp.in @t14 @t67)) % 0.33/15.96 (define @t69 () (not (forall @t25 (not @t38)))) % 0.33/15.96 (define @t70 () (forall @t29 (= @t68 @t69))) % 0.33/15.96 (define @t71 () (= (= @t67 @t42) @t70)) % 0.33/15.96 (define @t72 () (not @t7)) % 0.33/15.96 (define @t73 () (or @t72 @t71)) % 0.33/15.96 (define @t74 () (@list @t1 @t67)) % 0.33/15.96 (define @t75 () (forall @t74 @t73)) % 0.33/15.96 (define @t76 () (@list @t67)) % 0.33/15.96 (define @t77 () (forall @t76 @t73)) % 0.33/15.96 (define @t78 () (forall @t76 @t71)) % 0.33/15.96 (define @t79 () (@list @t2)) % 0.33/15.96 (define @t80 () (or @t72 @t78)) % 0.33/15.96 (define @t81 () (forall @t5 (= @t43 (forall @t29 (= @t27 @t69))))) % 0.33/15.96 (define @t82 () (forall @t29 (= (not (forall @t25 (not (tptp.in @t37 @t52)))) (tptp.in @t14 @t56)))) % 0.33/15.96 (define @t83 () (= (= @t56 @t56) @t82)) % 0.33/15.96 (define @t84 () (or @t63 @t83)) % 0.33/15.96 (define @t85 () (forall @t74 (or @t72 (= (= @t42 @t67) (forall @t29 (= @t69 @t68)))))) % 0.33/15.96 (define @t86 () (or @t63 @t82)) % 0.33/15.96 (define @t87 () (@list false)) % 0.33/15.96 (define @t88 () (@list false false)) % 0.33/15.96 (define @t89 () (forall @t25 (not (tptp.in (tptp.ordered_pair @t22 @t53) @t52)))) % 0.33/15.96 (define @t90 () (not @t89)) % 0.33/15.96 (define @t91 () (= @t90 @t57)) % 0.33/15.96 (define @t92 () (@list @t53)) % 0.33/15.96 (define @t93 () (= @t57 @t90)) % 0.33/15.96 (define @t94 () (@var "BOUND_VARIABLE_7581" $$unsorted)) % 0.33/15.96 (define @t95 () (tptp.in @t14 @t94)) % 0.33/15.96 (define @t96 () (not (forall @t25 (not @t24)))) % 0.33/15.96 (define @t97 () (forall @t29 (= @t95 @t96))) % 0.33/15.96 (define @t98 () (= (= @t94 @t31) @t97)) % 0.33/15.96 (define @t99 () (or @t72 @t98)) % 0.33/15.96 (define @t100 () (@list @t1 @t94)) % 0.33/15.96 (define @t101 () (forall @t100 @t99)) % 0.33/15.96 (define @t102 () (@list @t94)) % 0.33/15.96 (define @t103 () (forall @t102 @t99)) % 0.33/15.96 (define @t104 () (forall @t102 @t98)) % 0.33/15.96 (define @t105 () (or @t72 @t104)) % 0.33/15.96 (define @t106 () (forall @t5 (= @t32 (forall @t29 (= @t27 @t96))))) % 0.33/15.96 (define @t107 () (forall @t29 (= (not (forall @t25 (not (tptp.in @t23 @t52)))) (tptp.in @t14 @t58)))) % 0.33/15.96 (define @t108 () (= (= @t58 @t58) @t107)) % 0.33/15.96 (define @t109 () (or @t63 @t108)) % 0.33/15.96 (define @t110 () (forall @t100 (or @t72 (= (= @t31 @t94) (forall @t29 (= @t96 @t95)))))) % 0.33/15.96 (define @t111 () (or @t63 @t107)) % 0.33/15.96 (define @t112 () (forall @t25 (not (tptp.in (tptp.ordered_pair @t54 @t22) @t52)))) % 0.33/15.96 (define @t113 () (not @t112)) % 0.33/15.96 (define @t114 () (= @t113 @t59)) % 0.33/15.96 (define @t115 () (@list @t54)) % 0.33/15.96 (define @t116 () (= @t59 @t113)) % 0.33/15.96 (define @t117 () (not @t116)) % 0.33/15.96 (define @t118 () (@list true false)) % 0.33/15.96 (define @t119 () (not @t93)) % 0.33/15.96 (assume @p1 true) % 0.33/15.96 (assume @p2 (tptp.empty tptp.empty_set)) % 0.33/15.96 (assume @p3 (forall @t4 (= @t3 (tptp.unordered_pair @t2 @t1)))) % 0.33/15.96 (assume @p4 (forall @t6 (exists @t5 (tptp.element @t2 @t1)))) % 0.33/15.96 (assume @p5 (exists @t6 (and @t8 @t7))) % 0.33/15.96 (assume @p6 (exists @t6 @t8)) % 0.33/15.96 (assume @p7 (exists @t6 (not @t8))) % 0.33/15.96 (assume @p8 (forall @t6 (not (tptp.empty @t9)))) % 0.33/15.96 (assume @p9 (forall @t4 (not (tptp.empty @t3)))) % 0.33/15.96 (assume @p10 (forall @t4 (=> @t12 (or @t11 @t10)))) % 0.33/15.96 (assume @p11 (forall @t6 (=> @t8 (= @t1 tptp.empty_set)))) % 0.33/15.96 (assume @p12 (forall @t4 (not (and @t8 (not (= @t1 @t2)) @t11)))) % 0.33/15.96 (assume @p13 (forall @t4 (=> @t10 (not (tptp.in @t2 @t1))))) % 0.33/15.96 (assume @p14 (forall @t4 (not (tptp.empty @t13)))) % 0.33/15.96 (assume @p15 (forall @t4 (=> @t10 @t12))) % 0.33/15.96 (assume @p16 (forall @t4 (not (and @t10 @t11)))) % 0.33/15.96 (assume @p17 (forall @t4 (= @t13 (tptp.unordered_pair @t3 @t9)))) % 0.33/15.96 (assume @p18 @t21) % 0.33/15.96 (assume @p19 @t36) % 0.33/15.96 (assume @p20 @t47) % 0.33/15.96 (step @p21 :rule aci_norm :args ((= (or @t49 (or @t48 @t15)) @t50))) % 0.33/15.96 (step @p22 :rule bool-impl-elim :args (@t16 @t15)) % 0.33/15.96 (step @p23 :rule refl :args (@t49)) % 0.33/15.96 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t49 @t17))) % 0.33/15.96 (step @p25 :rule trans :premises (@p24 @p21)) % 0.33/15.96 (step @p26 :rule bool-impl-elim :args (@t18 @t17)) % 0.33/15.96 (step @p27 :rule trans :premises (@p26 @p25)) % 0.33/15.96 (step @p28 :rule cong :premises (@p27) :args (@t20)) % 0.33/15.96 (step @p29 :rule cong :premises (@p28) :args (@t21)) % 0.33/15.96 (step @p30 :rule eq_resolve :premises (@p18 @p29)) % 0.33/15.96 (step @p31 :rule skolemize :premises (@p30)) % 0.33/15.96 (step @p32 :rule bool-double-not-elim :args (@t55)) % 0.33/15.96 (step @p33 :rule refl :args (@t64)) % 0.33/15.96 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or @t64 (not @t61)))) % 0.33/15.96 (step @p35 :rule cnf_or_neg :args (@t64 1)) % 0.33/15.96 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 0.33/15.96 (step @p37 :rule reordering :premises (@p36) :args ((or @t55 @t64))) % 0.33/15.96 (step @p38 :rule chain_m_resolution :premises (@p37 @p31) :args (@t55 @t65 @t66)) % 0.33/15.96 (step @p39 :rule eq-symm :args (@t68 @t69)) % 0.33/15.96 (step @p40 :rule cong :premises (@p39) :args (@t70)) % 0.33/15.96 (step @p41 :rule eq-symm :args (@t67 @t42)) % 0.33/15.96 (step @p42 :rule cong :premises (@p41 @p40) :args (@t71)) % 0.33/15.96 (step @p43 :rule refl :args (@t72)) % 0.33/15.96 (step @p44 :rule nary_cong :premises (@p43 @p42) :args (@t73)) % 0.33/15.96 (step @p45 :rule cong :premises (@p44) :args (@t75)) % 0.33/15.96 (step @p46 :rule quant-merge-prenex :args ((= (forall @t6 @t77) @t75))) % 0.33/15.96 (step @p47 :rule alpha_equiv :args (@t78 (@list @t67) @t79)) % 0.33/15.96 (step @p48 :rule refl :args (@t72)) % 0.33/15.96 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t80)) % 0.33/15.96 (step @p50 :rule quant-miniscope-or :args ((= @t77 @t80))) % 0.33/15.96 (step @p51 :rule trans :premises (@p50 @p49)) % 0.33/15.96 (step @p52 :rule symm :premises (@p51)) % 0.33/15.96 (step @p53 :rule cong :premises (@p52) :args ((forall @t6 (or @t72 @t81)))) % 0.33/15.96 (step @p54 :rule trans :premises (@p53 @p46)) % 0.33/15.96 (step @p55 :rule trans :premises (@p54 @p45)) % 0.33/15.96 (step @p56 :rule bool-impl-elim :args (@t7 @t81)) % 0.33/15.96 (step @p57 :rule cong :premises (@p56) :args ((forall @t6 (=> @t7 @t81)))) % 0.33/15.96 (step @p58 :rule trans :premises (@p57 @p55)) % 0.33/15.96 (step @p59 :rule exists-elim :args ((= @t39 @t69))) % 0.33/15.96 (step @p60 :rule refl :args (@t27)) % 0.33/15.96 (step @p61 :rule cong :premises (@p60 @p59) :args (@t40)) % 0.33/15.96 (step @p62 :rule cong :premises (@p61) :args (@t41)) % 0.33/15.96 (step @p63 :rule refl :args (@t43)) % 0.33/15.96 (step @p64 :rule cong :premises (@p63 @p62) :args (@t44)) % 0.33/15.96 (step @p65 :rule cong :premises (@p64) :args (@t45)) % 0.33/15.96 (step @p66 :rule refl :args (@t7)) % 0.33/15.96 (step @p67 :rule cong :premises (@p66 @p65) :args (@t46)) % 0.33/15.96 (step @p68 :rule cong :premises (@p67) :args (@t47)) % 0.33/15.96 (step @p69 :rule trans :premises (@p68 @p58)) % 0.33/15.96 (step @p70 :rule eq_resolve :premises (@p20 @p69)) % 0.33/15.96 (step @p71 :rule bool-eq-true :args (@t82)) % 0.33/15.96 (step @p72 :rule eq-symm :args (true @t82)) % 0.33/15.96 (step @p73 :rule trans :premises (@p72 @p71)) % 0.33/15.96 (step @p74 :rule refl :args (@t82)) % 0.33/15.96 (step @p75 :rule eq-refl :args (@t56)) % 0.33/15.96 (step @p76 :rule cong :premises (@p75 @p74) :args (@t83)) % 0.33/15.96 (step @p77 :rule trans :premises (@p76 @p73)) % 0.33/15.96 (step @p78 :rule refl :args (@t63)) % 0.33/15.96 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t84)) % 0.33/15.96 (step @p80 :rule refl :args (@t85)) % 0.33/15.96 (step @p81 :rule cong :premises (@p80 @p79) :args ((=> @t85 @t84))) % 0.33/15.96 (assume-push @p198 @t85) % 0.33/15.96 (step @p83 :rule instantiate :premises (@p70) :args ((@list @t52 @t56))) % 0.33/15.96 (step-pop @p199 :rule scope :premises (@p83)) % 0.33/15.96 (step @p84 :rule process_scope :premises (@p199) :args (@t84)) % 0.33/15.96 (step @p86 :rule eq_resolve :premises (@p84 @p81)) % 0.33/15.96 (step @p87 :rule implies_elim :premises (@p86)) % 0.33/15.96 (step @p88 :rule chain_m_resolution :premises (@p87 @p70) :args (@t86 @t87 (@list @t85))) % 0.33/15.96 (step @p89 :rule bool-double-not-elim :args (@t62)) % 0.33/15.96 (step @p90 :rule nary_cong :premises (@p33 @p89) :args ((or @t64 (not @t63)))) % 0.33/15.96 (step @p91 :rule cnf_or_neg :args (@t64 0)) % 0.33/15.96 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 0.33/15.96 (step @p93 :rule reordering :premises (@p92) :args ((or @t62 @t64))) % 0.33/15.96 (step @p94 :rule chain_m_resolution :premises (@p93 @p31) :args (@t62 @t65 @t66)) % 0.33/15.96 (step @p95 :rule cnf_or_pos :args (@t86)) % 0.33/15.96 (step @p96 :rule reordering :premises (@p95) :args ((or @t63 @t82 (not @t86)))) % 0.33/15.96 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p88) :args (@t82 @t88 (@list @t62 @t86))) % 0.33/15.96 (step @p98 :rule eq-symm :args (@t90 @t57)) % 0.33/15.96 (step @p99 :rule cong :premises (@p74 @p98) :args ((=> @t82 @t91))) % 0.33/15.96 (assume-push @p200 @t82) % 0.33/15.96 (step @p101 :rule instantiate :premises (@p97) :args (@t92)) % 0.33/15.96 (step-pop @p201 :rule scope :premises (@p101)) % 0.33/15.96 (step @p102 :rule process_scope :premises (@p201) :args (@t91)) % 0.33/15.96 (step @p104 :rule eq_resolve :premises (@p102 @p99)) % 0.33/15.96 (step @p105 :rule implies_elim :premises (@p104)) % 0.33/15.96 (step @p106 :rule chain_m_resolution :premises (@p105 @p97) :args (@t93 @t87 (@list @t82))) % 0.33/15.96 (step @p107 :rule eq-symm :args (@t95 @t96)) % 0.33/15.96 (step @p108 :rule cong :premises (@p107) :args (@t97)) % 0.33/15.96 (step @p109 :rule eq-symm :args (@t94 @t31)) % 0.33/15.96 (step @p110 :rule cong :premises (@p109 @p108) :args (@t98)) % 0.33/15.96 (step @p111 :rule nary_cong :premises (@p43 @p110) :args (@t99)) % 0.33/15.96 (step @p112 :rule cong :premises (@p111) :args (@t101)) % 0.33/15.96 (step @p113 :rule quant-merge-prenex :args ((= (forall @t6 @t103) @t101))) % 0.33/15.96 (step @p114 :rule alpha_equiv :args (@t104 (@list @t94) @t79)) % 0.33/15.96 (step @p115 :rule nary_cong :premises (@p48 @p114) :args (@t105)) % 0.33/15.96 (step @p116 :rule quant-miniscope-or :args ((= @t103 @t105))) % 0.33/15.96 (step @p117 :rule trans :premises (@p116 @p115)) % 0.33/15.96 (step @p118 :rule symm :premises (@p117)) % 0.33/15.96 (step @p119 :rule cong :premises (@p118) :args ((forall @t6 (or @t72 @t106)))) % 0.33/15.96 (step @p120 :rule trans :premises (@p119 @p113)) % 0.33/15.96 (step @p121 :rule trans :premises (@p120 @p112)) % 0.33/15.96 (step @p122 :rule bool-impl-elim :args (@t7 @t106)) % 0.33/15.96 (step @p123 :rule cong :premises (@p122) :args ((forall @t6 (=> @t7 @t106)))) % 0.33/15.96 (step @p124 :rule trans :premises (@p123 @p121)) % 0.33/15.96 (step @p125 :rule exists-elim :args ((= @t26 @t96))) % 0.33/15.96 (step @p126 :rule cong :premises (@p60 @p125) :args (@t28)) % 0.33/15.96 (step @p127 :rule cong :premises (@p126) :args (@t30)) % 0.33/15.96 (step @p128 :rule refl :args (@t32)) % 0.33/15.96 (step @p129 :rule cong :premises (@p128 @p127) :args (@t33)) % 0.33/15.96 (step @p130 :rule cong :premises (@p129) :args (@t34)) % 0.33/15.96 (step @p131 :rule cong :premises (@p66 @p130) :args (@t35)) % 0.33/15.96 (step @p132 :rule cong :premises (@p131) :args (@t36)) % 0.33/15.96 (step @p133 :rule trans :premises (@p132 @p124)) % 0.33/15.96 (step @p134 :rule eq_resolve :premises (@p19 @p133)) % 0.33/15.96 (step @p135 :rule bool-eq-true :args (@t107)) % 0.33/15.96 (step @p136 :rule eq-symm :args (true @t107)) % 0.33/15.96 (step @p137 :rule trans :premises (@p136 @p135)) % 0.33/15.96 (step @p138 :rule refl :args (@t107)) % 0.33/15.96 (step @p139 :rule eq-refl :args (@t58)) % 0.33/15.96 (step @p140 :rule cong :premises (@p139 @p138) :args (@t108)) % 0.33/15.96 (step @p141 :rule trans :premises (@p140 @p137)) % 0.33/15.96 (step @p142 :rule nary_cong :premises (@p78 @p141) :args (@t109)) % 0.33/15.96 (step @p143 :rule refl :args (@t110)) % 0.33/15.96 (step @p144 :rule cong :premises (@p143 @p142) :args ((=> @t110 @t109))) % 0.33/15.96 (assume-push @p202 @t110) % 0.33/15.96 (step @p146 :rule instantiate :premises (@p134) :args ((@list @t52 @t58))) % 0.33/15.96 (step-pop @p203 :rule scope :premises (@p146)) % 0.33/15.96 (step @p147 :rule process_scope :premises (@p203) :args (@t109)) % 0.33/15.96 (step @p149 :rule eq_resolve :premises (@p147 @p144)) % 0.33/15.96 (step @p150 :rule implies_elim :premises (@p149)) % 0.33/15.96 (step @p151 :rule chain_m_resolution :premises (@p150 @p134) :args (@t111 @t87 (@list @t110))) % 0.33/15.96 (step @p152 :rule cnf_or_pos :args (@t111)) % 0.33/15.96 (step @p153 :rule reordering :premises (@p152) :args ((or @t63 @t107 (not @t111)))) % 0.33/15.96 (step @p154 :rule chain_m_resolution :premises (@p153 @p94 @p151) :args (@t107 @t88 (@list @t62 @t111))) % 0.33/15.96 (step @p155 :rule eq-symm :args (@t113 @t59)) % 0.33/15.96 (step @p156 :rule cong :premises (@p138 @p155) :args ((=> @t107 @t114))) % 0.33/15.96 (assume-push @p204 @t107) % 0.33/15.96 (step @p158 :rule instantiate :premises (@p154) :args (@t115)) % 0.33/15.96 (step-pop @p205 :rule scope :premises (@p158)) % 0.33/15.96 (step @p159 :rule process_scope :premises (@p205) :args (@t114)) % 0.33/15.96 (step @p161 :rule eq_resolve :premises (@p159 @p156)) % 0.33/15.96 (step @p162 :rule implies_elim :premises (@p161)) % 0.33/15.96 (step @p163 :rule chain_m_resolution :premises (@p162 @p154) :args (@t116 @t87 (@list @t107))) % 0.33/15.96 (assume-push @p206 @t112) % 0.33/15.96 (step @p165 :rule instantiate :premises (@p206) :args (@t92)) % 0.33/15.96 (step-pop @p207 :rule scope :premises (@p165)) % 0.33/15.96 (step @p166 :rule process_scope :premises (@p207) :args (@t61)) % 0.33/15.96 (step @p168 :rule implies_elim :premises (@p166)) % 0.33/15.96 (step @p169 :rule reordering :premises (@p168) :args ((or @t61 @t113))) % 0.33/15.96 (step @p170 :rule chain_m_resolution :premises (@p169 @p38) :args (@t113 @t87 (@list @t55))) % 0.33/15.96 (step @p171 :rule bool-double-not-elim :args (@t112)) % 0.33/15.96 (step @p172 :rule refl :args (@t59)) % 0.33/15.96 (step @p173 :rule refl :args (@t117)) % 0.33/15.96 (step @p174 :rule nary_cong :premises (@p173 @p172 @p171) :args ((or @t117 @t59 (not @t113)))) % 0.33/15.96 (step @p175 :rule cnf_equiv_pos2 :args (@t116)) % 0.33/15.96 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 0.33/15.96 (step @p177 :rule reordering :premises (@p176) :args ((or @t59 @t112 @t117))) % 0.33/15.96 (step @p178 :rule chain_m_resolution :premises (@p177 @p170 @p163) :args (@t59 @t118 (@list @t112 @t116))) % 0.33/15.96 (step @p179 :rule cnf_or_neg :args (@t64 2)) % 0.33/15.96 (step @p180 :rule chain_m_resolution :premises (@p179 @p31) :args ((not @t60) @t65 @t66)) % 0.33/15.96 (step @p181 :rule cnf_and_neg :args (@t60)) % 0.33/15.96 (step @p182 :rule chain_m_resolution :premises (@p181 @p180 @p178) :args ((not @t57) @t118 (@list @t60 @t59))) % 0.33/15.96 (step @p183 :rule bool-double-not-elim :args (@t89)) % 0.33/15.96 (step @p184 :rule refl :args (@t57)) % 0.33/15.96 (step @p185 :rule refl :args (@t119)) % 0.33/15.96 (step @p186 :rule nary_cong :premises (@p185 @p184 @p183) :args ((or @t119 @t57 (not @t90)))) % 0.33/15.96 (step @p187 :rule cnf_equiv_pos2 :args (@t93)) % 0.33/15.96 (step @p188 :rule eq_resolve :premises (@p187 @p186)) % 0.33/15.96 (step @p189 :rule reordering :premises (@p188) :args ((or @t57 @t89 @t119))) % 0.33/15.96 (step @p190 :rule chain_m_resolution :premises (@p189 @p182 @p106) :args (@t89 @t118 (@list @t57 @t93))) % 0.33/15.96 (assume-push @p208 @t89) % 0.33/15.96 (step @p192 :rule instantiate :premises (@p208) :args (@t115)) % 0.33/15.96 (step-pop @p209 :rule scope :premises (@p192)) % 0.33/15.96 (step @p193 :rule process_scope :premises (@p209) :args (@t61)) % 0.33/15.96 (step @p195 :rule implies_elim :premises (@p193)) % 0.33/15.96 (step @p196 :rule reordering :premises (@p195) :args ((or @t61 @t90))) % 0.33/15.96 (step @p197 false :rule chain_m_resolution :premises (@p196 @p190 @p38) :args (false @t88 (@list @t89 @t55))) % 0.33/15.96 ) % 0.33/15.96 % SZS output end Proof % 0.33/15.96 % cvc5 exiting %------------------------------------------------------------------------------