%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU009+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 : n005.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 08:50:27 AM UTC 2026 % Result : Theorem 1.71s 1.99s % Output : Proof 1.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU009+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 : n005.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 16:22:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.49 %----Proving TF0_NAR, FOF, or CNF % 1.71/1.99 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.71/1.99 % SZS status Theorem % 1.71/1.99 % SZS output start Proof % 1.71/1.99 ( % 1.71/1.99 (declare-sort $$unsorted 0) % 1.71/1.99 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.71/1.99 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 1.71/1.99 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.71/1.99 (declare-const tptp.empty_set $$unsorted) % 1.71/1.99 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 1.71/1.99 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 1.71/1.99 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 1.71/1.99 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 1.71/1.99 (declare-const tptp.relation (-> $$unsorted Bool)) % 1.71/1.99 (declare-const tptp.empty (-> $$unsorted Bool)) % 1.71/1.99 (declare-const tptp.function (-> $$unsorted Bool)) % 1.71/1.99 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 1.71/1.99 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.71/1.99 (define @t1 () (@var "A" $$unsorted)) % 1.71/1.99 (define @t2 () (@var "B" $$unsorted)) % 1.71/1.99 (define @t3 () (tptp.in @t1 @t2)) % 1.71/1.99 (define @t4 () (@list @t1 @t2)) % 1.71/1.99 (define @t5 () (tptp.function @t1)) % 1.71/1.99 (define @t6 () (tptp.empty @t1)) % 1.71/1.99 (define @t7 () (@list @t1)) % 1.71/1.99 (define @t8 () (tptp.relation @t1)) % 1.71/1.99 (define @t9 () (tptp.relation_composition @t1 @t2)) % 1.71/1.99 (define @t10 () (tptp.relation @t9)) % 1.71/1.99 (define @t11 () (tptp.relation @t2)) % 1.71/1.99 (define @t12 () (tptp.identity_relation @t1)) % 1.71/1.99 (define @t13 () (tptp.relation @t12)) % 1.71/1.99 (define @t14 () (forall @t7 @t13)) % 1.71/1.99 (define @t15 () (@list @t2)) % 1.71/1.99 (define @t16 () (tptp.relation_composition @t2 @t1)) % 1.71/1.99 (define @t17 () (and @t6 @t11)) % 1.71/1.99 (define @t18 () (tptp.relation tptp.empty_set)) % 1.71/1.99 (define @t19 () (tptp.empty tptp.empty_set)) % 1.71/1.99 (define @t20 () (tptp.function @t2)) % 1.71/1.99 (define @t21 () (tptp.powerset @t1)) % 1.71/1.99 (define @t22 () (tptp.function @t12)) % 1.71/1.99 (define @t23 () (forall @t7 (and @t13 @t22))) % 1.71/1.99 (define @t24 () (tptp.relation_dom @t1)) % 1.71/1.99 (define @t25 () (tptp.empty @t24)) % 1.71/1.99 (define @t26 () (not @t6)) % 1.71/1.99 (define @t27 () (and @t26 @t8)) % 1.71/1.99 (define @t28 () (tptp.empty @t2)) % 1.71/1.99 (define @t29 () (tptp.element @t2 @t21)) % 1.71/1.99 (define @t30 () (tptp.element @t1 @t2)) % 1.71/1.99 (define @t31 () (tptp.relation_dom @t2)) % 1.71/1.99 (define @t32 () (@var "C" $$unsorted)) % 1.71/1.99 (define @t33 () (tptp.relation_dom @t32)) % 1.71/1.99 (define @t34 () (= (tptp.in @t1 (tptp.relation_dom (tptp.relation_composition @t32 @t2))) (and (tptp.in @t1 @t33) (tptp.in (tptp.apply @t32 @t1) @t31)))) % 1.71/1.99 (define @t35 () (tptp.function @t32)) % 1.71/1.99 (define @t36 () (tptp.relation @t32)) % 1.71/1.99 (define @t37 () (and @t36 @t35)) % 1.71/1.99 (define @t38 () (@list @t32)) % 1.71/1.99 (define @t39 () (forall @t38 (=> @t37 @t34))) % 1.71/1.99 (define @t40 () (and @t11 @t20)) % 1.71/1.99 (define @t41 () (=> @t40 @t39)) % 1.71/1.99 (define @t42 () (forall @t4 @t41)) % 1.71/1.99 (define @t43 () (tptp.apply @t2 @t32)) % 1.71/1.99 (define @t44 () (tptp.in @t32 @t1)) % 1.71/1.99 (define @t45 () (=> @t44 (= @t43 @t32))) % 1.71/1.99 (define @t46 () (forall @t38 @t45)) % 1.71/1.99 (define @t47 () (and (= @t31 @t1) @t46)) % 1.71/1.99 (define @t48 () (= @t2 @t12)) % 1.71/1.99 (define @t49 () (= @t48 @t47)) % 1.71/1.99 (define @t50 () (=> @t40 @t49)) % 1.71/1.99 (define @t51 () (forall @t4 @t50)) % 1.71/1.99 (define @t52 () (= (tptp.in @t2 (tptp.relation_dom (tptp.relation_composition @t32 @t12))) (and (tptp.in @t2 @t33) (tptp.in (tptp.apply @t32 @t2) @t1)))) % 1.71/1.99 (define @t53 () (@list @t1 @t2 @t32)) % 1.71/1.99 (define @t54 () (forall @t53 (=> @t37 @t52))) % 1.71/1.99 (define @t55 () (not @t54)) % 1.71/1.99 (define @t56 () (tptp.element @t2 (tptp.powerset @t32))) % 1.71/1.99 (define @t57 () (= @t32 @t43)) % 1.71/1.99 (define @t58 () (= @t48 (and (= @t1 @t31) (forall @t38 (or (not @t44) @t57))))) % 1.71/1.99 (define @t59 () (not @t20)) % 1.71/1.99 (define @t60 () (not @t11)) % 1.71/1.99 (define @t61 () (or @t60 @t59 @t58)) % 1.71/1.99 (define @t62 () (or @t60 @t59)) % 1.71/1.99 (define @t63 () (not @t40)) % 1.71/1.99 (define @t64 () (not @t35)) % 1.71/1.99 (define @t65 () (not @t36)) % 1.71/1.99 (define @t66 () (or @t65 @t64 @t52)) % 1.71/1.99 (define @t67 () (forall @t53 @t66)) % 1.71/1.99 (define @t68 () (@quantifiers_skolemize @t67 0)) % 1.71/1.99 (define @t69 () (tptp.identity_relation @t68)) % 1.71/1.99 (define @t70 () (tptp.relation_dom @t69)) % 1.71/1.99 (define @t71 () (= @t68 @t70)) % 1.71/1.99 (define @t72 () (and @t71 (forall @t38 (or (not (tptp.in @t32 @t68)) (= @t32 (tptp.apply @t69 @t32)))))) % 1.71/1.99 (define @t73 () (= (= @t69 @t69) @t72)) % 1.71/1.99 (define @t74 () (tptp.function @t69)) % 1.71/1.99 (define @t75 () (not @t74)) % 1.71/1.99 (define @t76 () (tptp.relation @t69)) % 1.71/1.99 (define @t77 () (not @t76)) % 1.71/1.99 (define @t78 () (or @t77 @t75 @t73)) % 1.71/1.99 (define @t79 () (forall @t4 @t61)) % 1.71/1.99 (define @t80 () (or @t77 @t75 @t72)) % 1.71/1.99 (define @t81 () (@list false)) % 1.71/1.99 (define @t82 () (forall @t7 @t22)) % 1.71/1.99 (define @t83 () (@list @t1)) % 1.71/1.99 (define @t84 () (and @t14 @t82)) % 1.71/1.99 (define @t85 () (@list @t68)) % 1.71/1.99 (define @t86 () (or @t65 @t64)) % 1.71/1.99 (define @t87 () (not @t37)) % 1.71/1.99 (define @t88 () (@quantifiers_skolemize @t67 1)) % 1.71/1.99 (define @t89 () (@quantifiers_skolemize @t67 2)) % 1.71/1.99 (define @t90 () (tptp.apply @t89 @t88)) % 1.71/1.99 (define @t91 () (tptp.in @t90 @t68)) % 1.71/1.99 (define @t92 () (tptp.in @t88 (tptp.relation_dom @t89))) % 1.71/1.99 (define @t93 () (and @t92 @t91)) % 1.71/1.99 (define @t94 () (tptp.in @t88 (tptp.relation_dom (tptp.relation_composition @t89 @t69)))) % 1.71/1.99 (define @t95 () (= @t94 @t93)) % 1.71/1.99 (define @t96 () (tptp.function @t89)) % 1.71/1.99 (define @t97 () (not @t96)) % 1.71/1.99 (define @t98 () (tptp.relation @t89)) % 1.71/1.99 (define @t99 () (not @t98)) % 1.71/1.99 (define @t100 () (or @t99 @t97 @t95)) % 1.71/1.99 (define @t101 () (@list true)) % 1.71/1.99 (define @t102 () (@list @t100)) % 1.71/1.99 (define @t103 () (@var "BOUND_VARIABLE_7722" $$unsorted)) % 1.71/1.99 (define @t104 () (= (tptp.in @t1 (tptp.relation_dom (tptp.relation_composition @t103 @t2))) (and (tptp.in @t1 (tptp.relation_dom @t103)) (tptp.in (tptp.apply @t103 @t1) @t31)))) % 1.71/1.99 (define @t105 () (not (tptp.function @t103))) % 1.71/1.99 (define @t106 () (not (tptp.relation @t103))) % 1.71/1.99 (define @t107 () (or @t106 @t105 @t104)) % 1.71/1.99 (define @t108 () (or @t60 @t59 @t107)) % 1.71/1.99 (define @t109 () (forall (@list @t1 @t2 @t103) @t108)) % 1.71/1.99 (define @t110 () (@list @t103)) % 1.71/1.99 (define @t111 () (forall @t110 @t108)) % 1.71/1.99 (define @t112 () (forall @t110 @t107)) % 1.71/1.99 (define @t113 () (or @t60 @t59 @t112)) % 1.71/1.99 (define @t114 () (or @t65 @t64 @t34)) % 1.71/1.99 (define @t115 () (forall @t38 @t114)) % 1.71/1.99 (define @t116 () (or @t60 @t59 @t115)) % 1.71/1.99 (define @t117 () (tptp.in @t90 @t70)) % 1.71/1.99 (define @t118 () (and @t92 @t117)) % 1.71/1.99 (define @t119 () (= @t94 @t118)) % 1.71/1.99 (define @t120 () (or @t77 @t75 @t99 @t97 @t119)) % 1.71/1.99 (define @t121 () (not @t119)) % 1.71/1.99 (define @t122 () (not @t94)) % 1.71/1.99 (define @t123 () (not @t93)) % 1.71/1.99 (define @t124 () (not @t118)) % 1.71/1.99 (define @t125 () (not @t117)) % 1.71/1.99 (define @t126 () (not @t71)) % 1.71/1.99 (define @t127 () (not @t91)) % 1.71/1.99 (define @t128 () (and @t127 @t71)) % 1.71/1.99 (define @t129 () (and @t91 @t71)) % 1.71/1.99 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 1.71/1.99 (assume @p2 (forall @t7 (=> @t6 @t5))) % 1.71/1.99 (assume @p3 (forall @t7 (=> @t6 @t8))) % 1.71/1.99 (assume @p4 (forall @t4 (=> (and @t8 @t11) @t10))) % 1.71/1.99 (assume @p5 @t14) % 1.71/1.99 (assume @p6 (forall @t7 (exists @t15 (tptp.element @t2 @t1)))) % 1.71/1.99 (assume @p7 (forall @t4 (=> @t17 (and (tptp.empty @t16) (tptp.relation @t16))))) % 1.71/1.99 (assume @p8 (and @t19 @t18 (tptp.relation_empty_yielding tptp.empty_set))) % 1.71/1.99 (assume @p9 (forall @t4 (=> (and @t8 @t5 @t11 @t20) (and @t10 (tptp.function @t9))))) % 1.71/1.99 (assume @p10 (forall @t7 (not (tptp.empty @t21)))) % 1.71/1.99 (assume @p11 @t19) % 1.71/1.99 (assume @p12 @t23) % 1.71/1.99 (assume @p13 (and @t19 @t18)) % 1.71/1.99 (assume @p14 (forall @t7 (=> @t27 (not @t25)))) % 1.71/1.99 (assume @p15 (forall @t7 (=> @t6 (and @t25 (tptp.relation @t24))))) % 1.71/1.99 (assume @p16 (forall @t4 (=> @t17 (and (tptp.empty @t9) @t10)))) % 1.71/1.99 (assume @p17 (exists @t7 (and @t8 @t5))) % 1.71/1.99 (assume @p18 (exists @t7 (and @t6 @t8))) % 1.71/1.99 (assume @p19 (forall @t7 (=> @t26 (exists @t15 (and @t29 (not @t28)))))) % 1.71/1.99 (assume @p20 (exists @t7 @t6)) % 1.71/1.99 (assume @p21 (exists @t7 @t27)) % 1.71/1.99 (assume @p22 (forall @t7 (exists @t15 (and @t29 @t28)))) % 1.71/1.99 (assume @p23 (exists @t7 @t26)) % 1.71/1.99 (assume @p24 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 1.71/1.99 (assume @p25 (forall @t4 (tptp.subset @t1 @t1))) % 1.71/1.99 (assume @p26 (forall @t4 (=> @t3 @t30))) % 1.71/1.99 (assume @p27 @t42) % 1.71/1.99 (assume @p28 (forall @t4 (=> @t30 (or @t28 @t3)))) % 1.71/1.99 (assume @p29 @t51) % 1.71/1.99 (assume @p30 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 1.71/1.99 (assume @p31 @t55) % 1.71/1.99 (assume @p32 (forall @t53 (=> (and @t3 @t56) (tptp.element @t1 @t32)))) % 1.71/1.99 (assume @p33 (forall @t53 (not (and @t3 @t56 (tptp.empty @t32))))) % 1.71/1.99 (assume @p34 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 1.71/1.99 (assume @p35 (forall @t4 (not (and @t3 @t28)))) % 1.71/1.99 (assume @p36 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t28)))) % 1.71/1.99 (assume @p37 true) % 1.71/1.99 (step @p38 :rule aci_norm :args ((= (or @t62 @t58) @t61))) % 1.71/1.99 (step @p39 :rule refl :args (@t58)) % 1.71/1.99 (step @p40 :rule bool-and-de-morgan :args (@t11 @t20 true)) % 1.71/1.99 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t63 @t58))) % 1.71/1.99 (step @p42 :rule trans :premises (@p41 @p38)) % 1.71/1.99 (step @p43 :rule bool-impl-elim :args (@t40 @t58)) % 1.71/1.99 (step @p44 :rule trans :premises (@p43 @p42)) % 1.71/1.99 (step @p45 :rule cong :premises (@p44) :args ((forall @t4 (=> @t40 @t58)))) % 1.71/1.99 (step @p46 :rule bool-impl-elim :args (@t44 @t57)) % 1.71/1.99 (step @p47 :rule cong :premises (@p46) :args ((forall @t38 (=> @t44 @t57)))) % 1.71/1.99 (step @p48 :rule eq-symm :args (@t43 @t32)) % 1.71/1.99 (step @p49 :rule refl :args (@t44)) % 1.71/1.99 (step @p50 :rule cong :premises (@p49 @p48) :args (@t45)) % 1.71/1.99 (step @p51 :rule cong :premises (@p50) :args (@t46)) % 1.71/1.99 (step @p52 :rule trans :premises (@p51 @p47)) % 1.71/1.99 (step @p53 :rule eq-symm :args (@t31 @t1)) % 1.71/1.99 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t47)) % 1.71/1.99 (step @p55 :rule refl :args (@t48)) % 1.71/1.99 (step @p56 :rule cong :premises (@p55 @p54) :args (@t49)) % 1.71/1.99 (step @p57 :rule refl :args (@t40)) % 1.71/1.99 (step @p58 :rule cong :premises (@p57 @p56) :args (@t50)) % 1.71/1.99 (step @p59 :rule cong :premises (@p58) :args (@t51)) % 1.71/1.99 (step @p60 :rule trans :premises (@p59 @p45)) % 1.71/1.99 (step @p61 :rule eq_resolve :premises (@p29 @p60)) % 1.71/1.99 (step @p62 :rule bool-eq-true :args (@t72)) % 1.71/1.99 (step @p63 :rule eq-symm :args (true @t72)) % 1.71/1.99 (step @p64 :rule trans :premises (@p63 @p62)) % 1.71/1.99 (step @p65 :rule refl :args (@t72)) % 1.71/1.99 (step @p66 :rule eq-refl :args (@t69)) % 1.71/1.99 (step @p67 :rule cong :premises (@p66 @p65) :args (@t73)) % 1.71/1.99 (step @p68 :rule trans :premises (@p67 @p64)) % 1.71/1.99 (step @p69 :rule refl :args (@t75)) % 1.71/1.99 (step @p70 :rule refl :args (@t77)) % 1.71/1.99 (step @p71 :rule nary_cong :premises (@p70 @p69 @p68) :args (@t78)) % 1.71/1.99 (step @p72 :rule refl :args (@t79)) % 1.71/1.99 (step @p73 :rule cong :premises (@p72 @p71) :args ((=> @t79 @t78))) % 1.71/1.99 (assume-push @p229 @t79) % 1.71/1.99 (step @p75 :rule instantiate :premises (@p61) :args ((@list @t68 @t69))) % 1.71/1.99 (step-pop @p230 :rule scope :premises (@p75)) % 1.71/1.99 (step @p76 :rule process_scope :premises (@p230) :args (@t78)) % 1.71/1.99 (step @p78 :rule eq_resolve :premises (@p76 @p73)) % 1.71/1.99 (step @p79 :rule implies_elim :premises (@p78)) % 1.71/1.99 (step @p80 :rule chain_m_resolution :premises (@p79 @p61) :args (@t80 @t81 (@list @t79))) % 1.71/1.99 (step @p81 :rule alpha_equiv :args (@t82 @t83 (@list (@var "BOUND_VARIABLE_7630" $$unsorted)))) % 1.71/1.99 (step @p82 :rule alpha_equiv :args (@t14 @t83 (@list (@var "BOUND_VARIABLE_7624" $$unsorted)))) % 1.71/1.99 (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t84)) % 1.71/1.99 (step @p84 :rule quant-miniscope-and :args ((= @t23 @t84))) % 1.71/1.99 (step @p85 :rule trans :premises (@p84 @p83)) % 1.71/1.99 (step @p86 :rule eq_resolve :premises (@p12 @p85)) % 1.71/1.99 (step @p87 :rule and_elim :premises (@p86) :args (1)) % 1.71/1.99 (step @p88 :rule instantiate :premises (@p87) :args (@t85)) % 1.71/1.99 (step @p89 :rule instantiate :premises (@p5) :args (@t85)) % 1.71/1.99 (step @p90 :rule cnf_or_pos :args (@t80)) % 1.71/1.99 (step @p91 :rule reordering :premises (@p90) :args ((or @t77 @t75 @t72 (not @t80)))) % 1.71/1.99 (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p88 @p80) :args (@t72 (@list false false false) (@list @t76 @t74 @t80))) % 1.71/1.99 (step @p93 :rule cnf_and_pos :args (@t72 0)) % 1.71/1.99 (step @p94 :rule reordering :premises (@p93) :args ((or @t71 (not @t72)))) % 1.71/1.99 (step @p95 :rule chain_m_resolution :premises (@p94 @p92) :args (@t71 @t81 (@list @t72))) % 1.71/1.99 (step @p96 :rule aci_norm :args ((= (or @t86 @t52) @t66))) % 1.71/1.99 (step @p97 :rule refl :args (@t52)) % 1.71/1.99 (step @p98 :rule bool-and-de-morgan :args (@t36 @t35 true)) % 1.71/1.99 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or @t87 @t52))) % 1.71/1.99 (step @p100 :rule trans :premises (@p99 @p96)) % 1.71/1.99 (step @p101 :rule bool-impl-elim :args (@t37 @t52)) % 1.71/1.99 (step @p102 :rule trans :premises (@p101 @p100)) % 1.71/1.99 (step @p103 :rule cong :premises (@p102) :args (@t54)) % 1.71/1.99 (step @p104 :rule cong :premises (@p103) :args (@t55)) % 1.71/1.99 (step @p105 :rule eq_resolve :premises (@p31 @p104)) % 1.71/1.99 (step @p106 :rule skolemize :premises (@p105)) % 1.71/1.99 (step @p107 :rule cnf_or_neg :args (@t100 2)) % 1.71/1.99 (step @p108 :rule chain_m_resolution :premises (@p107 @p106) :args ((not @t95) @t101 @t102)) % 1.71/1.99 (step @p109 :rule cnf_equiv_neg2 :args (@t95)) % 1.71/1.99 (step @p110 :rule aci_norm :args ((= @t108 (or @t60 @t59 @t106 @t105 @t104)))) % 1.71/1.99 (step @p111 :rule cong :premises (@p110) :args (@t109)) % 1.71/1.99 (step @p112 :rule quant-merge-prenex :args ((= (forall @t4 @t111) @t109))) % 1.71/1.99 (step @p113 :rule alpha_equiv :args (@t112 (@list @t103) (@list @t32))) % 1.71/1.99 (step @p114 :rule refl :args (@t59)) % 1.71/1.99 (step @p115 :rule refl :args (@t60)) % 1.71/1.99 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113) :args (@t113)) % 1.71/1.99 (step @p117 :rule quant-miniscope-or :args ((= @t111 @t113))) % 1.71/1.99 (step @p118 :rule trans :premises (@p117 @p116)) % 1.71/1.99 (step @p119 :rule symm :premises (@p118)) % 1.71/1.99 (step @p120 :rule cong :premises (@p119) :args ((forall @t4 @t116))) % 1.71/1.99 (step @p121 :rule trans :premises (@p120 @p112)) % 1.71/1.99 (step @p122 :rule trans :premises (@p121 @p111)) % 1.71/1.99 (step @p123 :rule aci_norm :args ((= (or @t62 @t115) @t116))) % 1.71/1.99 (step @p124 :rule refl :args (@t115)) % 1.71/1.99 (step @p125 :rule nary_cong :premises (@p40 @p124) :args ((or @t63 @t115))) % 1.71/1.99 (step @p126 :rule trans :premises (@p125 @p123)) % 1.71/1.99 (step @p127 :rule bool-impl-elim :args (@t40 @t115)) % 1.71/1.99 (step @p128 :rule trans :premises (@p127 @p126)) % 1.71/1.99 (step @p129 :rule cong :premises (@p128) :args ((forall @t4 (=> @t40 @t115)))) % 1.71/1.99 (step @p130 :rule trans :premises (@p129 @p122)) % 1.71/1.99 (step @p131 :rule aci_norm :args ((= (or @t86 @t34) @t114))) % 1.71/1.99 (step @p132 :rule refl :args (@t34)) % 1.71/1.99 (step @p133 :rule nary_cong :premises (@p98 @p132) :args ((or @t87 @t34))) % 1.71/1.99 (step @p134 :rule trans :premises (@p133 @p131)) % 1.71/1.99 (step @p135 :rule bool-impl-elim :args (@t37 @t34)) % 1.71/1.99 (step @p136 :rule trans :premises (@p135 @p134)) % 1.71/1.99 (step @p137 :rule cong :premises (@p136) :args (@t39)) % 1.71/1.99 (step @p138 :rule cong :premises (@p57 @p137) :args (@t41)) % 1.71/1.99 (step @p139 :rule cong :premises (@p138) :args (@t42)) % 1.71/1.99 (step @p140 :rule trans :premises (@p139 @p130)) % 1.71/1.99 (step @p141 :rule eq_resolve :premises (@p27 @p140)) % 1.71/1.99 (step @p142 :rule instantiate :premises (@p141) :args ((@list @t88 @t69 @t89))) % 1.71/1.99 (step @p143 :rule bool-double-not-elim :args (@t96)) % 1.71/1.99 (step @p144 :rule refl :args (@t100)) % 1.71/1.99 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or @t100 (not @t97)))) % 1.71/1.99 (step @p146 :rule cnf_or_neg :args (@t100 1)) % 1.71/1.99 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 1.71/1.99 (step @p148 :rule reordering :premises (@p147) :args ((or @t96 @t100))) % 1.71/1.99 (step @p149 :rule chain_m_resolution :premises (@p148 @p106) :args (@t96 @t101 @t102)) % 1.71/1.99 (step @p150 :rule bool-double-not-elim :args (@t98)) % 1.71/1.99 (step @p151 :rule nary_cong :premises (@p144 @p150) :args ((or @t100 (not @t99)))) % 1.71/1.99 (step @p152 :rule cnf_or_neg :args (@t100 0)) % 1.71/1.99 (step @p153 :rule eq_resolve :premises (@p152 @p151)) % 1.71/1.99 (step @p154 :rule reordering :premises (@p153) :args ((or @t98 @t100))) % 1.71/1.99 (step @p155 :rule chain_m_resolution :premises (@p154 @p106) :args (@t98 @t101 @t102)) % 1.71/1.99 (step @p156 :rule cnf_or_pos :args (@t120)) % 1.71/1.99 (step @p157 :rule reordering :premises (@p156) :args ((or @t99 @t97 @t77 @t75 @t119 (not @t120)))) % 1.71/1.99 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p149 @p89 @p88 @p142) :args (@t119 (@list false false false false false) (@list @t98 @t96 @t76 @t74 @t120))) % 1.71/1.99 (step @p159 :rule cnf_equiv_pos1 :args (@t119)) % 1.71/1.99 (step @p160 :rule reordering :premises (@p159) :args ((or @t122 @t118 @t121))) % 1.71/1.99 (step @p161 :rule cnf_and_pos :args (@t93 0)) % 1.71/1.99 (step @p162 :rule reordering :premises (@p161) :args ((or @t92 @t123))) % 1.71/1.99 (step @p163 :rule cnf_and_pos :args (@t118 0)) % 1.71/1.99 (step @p164 :rule reordering :premises (@p163) :args ((or @t92 @t124))) % 1.71/1.99 (step @p165 :rule cnf_equiv_neg1 :args (@t95)) % 1.71/1.99 (step @p166 :rule reordering :premises (@p165) :args ((or @t94 @t93 @t95))) % 1.71/1.99 (step @p167 :rule chain_m_resolution :premises (@p160 @p158 @p166 @p108 @p164 @p162) :args (@t92 (@list false false true true true) (@list @t119 @t94 @t95 @t118 @t93))) % 1.71/1.99 (step @p168 :rule cnf_and_neg :args (@t93)) % 1.71/1.99 (step @p169 :rule cnf_and_pos :args (@t118 1)) % 1.71/1.99 (step @p170 :rule reordering :premises (@p169) :args ((or @t117 @t124))) % 1.71/1.99 (step @p171 :rule refl :args (@t125)) % 1.71/1.99 (step @p172 :rule refl :args (@t126)) % 1.71/1.99 (step @p173 :rule bool-double-not-elim :args (@t91)) % 1.71/1.99 (step @p174 :rule nary_cong :premises (@p173 @p172 @p171) :args ((or (not @t127) @t126 @t125))) % 1.71/1.99 (assume-push @p231 @t127) % 1.71/1.99 (assume-push @p232 @t71) % 1.71/1.99 (assume-push @p233 @t127) % 1.71/1.99 (assume-push @p234 @t71) % 1.71/1.99 (step @p179 :rule false_intro :premises (@p231)) % 1.71/1.99 (step @p180 :rule symm :premises (@p95)) % 1.71/1.99 (step @p181 :rule refl :args (@t90)) % 1.71/1.99 (step @p182 :rule cong :premises (@p181 @p180) :args (@t117)) % 1.71/2.00 (step @p183 :rule trans :premises (@p182 @p179)) % 1.71/2.00 (step @p184 :rule false_elim :premises (@p183)) % 1.71/2.00 (step-pop @p235 :rule scope :premises (@p184)) % 1.71/2.00 (step-pop @p236 :rule scope :premises (@p235)) % 1.71/2.00 (step @p185 :rule process_scope :premises (@p236) :args (@t125)) % 1.71/2.00 (step @p188 :rule and_intro :premises (@p231 @p95)) % 1.71/2.00 (step @p189 :rule modus_ponens :premises (@p188 @p185)) % 1.71/2.00 (step-pop @p237 :rule scope :premises (@p189)) % 1.71/2.00 (step-pop @p238 :rule scope :premises (@p237)) % 1.71/2.00 (step @p190 :rule process_scope :premises (@p238) :args (@t125)) % 1.71/2.00 (step @p193 :rule implies_elim :premises (@p190)) % 1.71/2.00 (step @p194 :rule cnf_and_neg :args (@t128)) % 1.71/2.00 (step @p195 :rule resolution :premises (@p194 @p193) :args (true @t128)) % 1.71/2.00 (step @p196 :rule eq_resolve :premises (@p195 @p174)) % 1.71/2.00 (step @p197 :rule reordering :premises (@p196) :args ((or @t91 @t125 @t126))) % 1.71/2.00 (step @p198 :rule chain_m_resolution :premises (@p197 @p95 @p170 @p168 @p167 @p160 @p158 @p109 @p108) :args (@t122 (@list false false true false false false true true) (@list @t71 @t117 @t91 @t92 @t118 @t119 @t93 @t95))) % 1.71/2.00 (step @p199 :rule chain_m_resolution :premises (@p166 @p198 @p108) :args (@t93 (@list true true) (@list @t94 @t95))) % 1.71/2.00 (step @p200 :rule cnf_and_pos :args (@t93 1)) % 1.71/2.00 (step @p201 :rule reordering :premises (@p200) :args ((or @t91 @t123))) % 1.71/2.00 (step @p202 :rule chain_m_resolution :premises (@p201 @p199) :args (@t91 @t81 (@list @t93))) % 1.71/2.00 (step @p203 :rule cnf_equiv_pos2 :args (@t119)) % 1.71/2.00 (step @p204 :rule reordering :premises (@p203) :args ((or @t94 @t124 @t121))) % 1.71/2.00 (step @p205 :rule chain_m_resolution :premises (@p204 @p198 @p158) :args (@t124 (@list true false) (@list @t94 @t119))) % 1.71/2.00 (step @p206 :rule cnf_and_neg :args (@t118)) % 1.71/2.00 (step @p207 :rule reordering :premises (@p206) :args ((or (not @t92) @t118 @t125))) % 1.71/2.00 (step @p208 :rule chain_m_resolution :premises (@p207 @p167 @p205) :args (@t125 (@list false true) (@list @t92 @t118))) % 1.71/2.00 (assume-push @p239 @t91) % 1.71/2.00 (assume-push @p240 @t71) % 1.71/2.00 (assume-push @p241 @t91) % 1.71/2.00 (assume-push @p242 @t71) % 1.71/2.00 (step @p213 :rule true_intro :premises (@p239)) % 1.71/2.00 (step @p180 :rule symm :premises (@p95)) % 1.71/2.00 (step @p181 :rule refl :args (@t90)) % 1.71/2.00 (step @p182 :rule cong :premises (@p181 @p180) :args (@t117)) % 1.71/2.00 (step @p214 :rule trans :premises (@p182 @p213)) % 1.71/2.00 (step @p215 :rule true_elim :premises (@p214)) % 1.71/2.00 (step-pop @p243 :rule scope :premises (@p215)) % 1.71/2.00 (step-pop @p244 :rule scope :premises (@p243)) % 1.71/2.00 (step @p216 :rule process_scope :premises (@p244) :args (@t117)) % 1.71/2.00 (step @p219 :rule and_intro :premises (@p239 @p95)) % 1.71/2.00 (step @p220 :rule modus_ponens :premises (@p219 @p216)) % 1.71/2.00 (step-pop @p245 :rule scope :premises (@p220)) % 1.71/2.00 (step-pop @p246 :rule scope :premises (@p245)) % 1.71/2.00 (step @p221 :rule process_scope :premises (@p246) :args (@t117)) % 1.71/2.00 (step @p224 :rule implies_elim :premises (@p221)) % 1.71/2.00 (step @p225 :rule cnf_and_neg :args (@t129)) % 1.71/2.00 (step @p226 :rule resolution :premises (@p225 @p224) :args (true @t129)) % 1.71/2.00 (step @p227 :rule reordering :premises (@p226) :args ((or @t127 @t117 @t126))) % 1.71/2.00 (step @p228 false :rule chain_m_resolution :premises (@p227 @p208 @p202 @p95) :args (false (@list true false false) (@list @t117 @t91 @t71))) % 1.71/2.00 ) % 1.71/2.00 % SZS output end Proof % 1.71/2.00 % cvc5 exiting %------------------------------------------------------------------------------