%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU037+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:50:29 AM UTC 2026 % Result : Theorem 1.52s 1.74s % Output : Proof 1.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU037+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.14/0.34 % Computer : n009.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Jun 2 16:24:14 EDT 2026 % 0.14/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 1.52/1.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.52/1.74 % SZS status Theorem % 1.52/1.74 % SZS output start Proof % 1.52/1.74 ( % 1.52/1.74 (declare-sort $$unsorted 0) % 1.52/1.74 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.52/1.74 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 1.52/1.74 (declare-const tptp.function (-> $$unsorted Bool)) % 1.52/1.74 (declare-const tptp.empty (-> $$unsorted Bool)) % 1.52/1.74 (declare-const tptp.relation (-> $$unsorted Bool)) % 1.52/1.74 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 1.52/1.74 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.74 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.74 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.52/1.74 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.74 (declare-const tptp.empty_set $$unsorted) % 1.52/1.74 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 1.52/1.74 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 1.52/1.74 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.52/1.74 (define @t1 () (@var "A" $$unsorted)) % 1.52/1.74 (define @t2 () (@var "B" $$unsorted)) % 1.52/1.74 (define @t3 () (tptp.in @t1 @t2)) % 1.52/1.74 (define @t4 () (@list @t1 @t2)) % 1.52/1.74 (define @t5 () (tptp.function @t1)) % 1.52/1.74 (define @t6 () (tptp.empty @t1)) % 1.52/1.74 (define @t7 () (@list @t1)) % 1.52/1.74 (define @t8 () (tptp.relation @t1)) % 1.52/1.74 (define @t9 () (and @t8 @t5 (tptp.one_to_one @t1))) % 1.52/1.74 (define @t10 () (and @t8 @t6 @t5)) % 1.52/1.74 (define @t11 () (tptp.set_intersection2 @t1 @t2)) % 1.52/1.74 (define @t12 () (tptp.relation_dom_restriction @t1 @t2)) % 1.52/1.74 (define @t13 () (tptp.relation @t12)) % 1.52/1.74 (define @t14 () (forall @t4 (=> @t8 @t13))) % 1.52/1.74 (define @t15 () (@list @t2)) % 1.52/1.74 (define @t16 () (tptp.relation tptp.empty_set)) % 1.52/1.74 (define @t17 () (tptp.empty tptp.empty_set)) % 1.52/1.74 (define @t18 () (and @t8 (tptp.relation_empty_yielding @t1))) % 1.52/1.74 (define @t19 () (tptp.relation @t2)) % 1.52/1.74 (define @t20 () (tptp.powerset @t1)) % 1.52/1.74 (define @t21 () (and @t13 (tptp.function @t12))) % 1.52/1.74 (define @t22 () (and @t8 @t5)) % 1.52/1.74 (define @t23 () (forall @t4 (=> @t22 @t21))) % 1.52/1.74 (define @t24 () (tptp.relation_dom @t1)) % 1.52/1.74 (define @t25 () (tptp.empty @t24)) % 1.52/1.74 (define @t26 () (not @t6)) % 1.52/1.74 (define @t27 () (and @t26 @t8)) % 1.52/1.74 (define @t28 () (tptp.empty @t2)) % 1.52/1.74 (define @t29 () (tptp.element @t2 @t20)) % 1.52/1.74 (define @t30 () (tptp.element @t1 @t2)) % 1.52/1.74 (define @t31 () (@var "C" $$unsorted)) % 1.52/1.74 (define @t32 () (tptp.element @t2 (tptp.powerset @t31))) % 1.52/1.74 (define @t33 () (@list @t1 @t2 @t31)) % 1.52/1.74 (define @t34 () (@var "D" $$unsorted)) % 1.52/1.74 (define @t35 () (tptp.apply @t2 @t34)) % 1.52/1.74 (define @t36 () (= @t35 (tptp.apply @t31 @t34))) % 1.52/1.74 (define @t37 () (tptp.relation_dom @t2)) % 1.52/1.74 (define @t38 () (tptp.in @t34 @t37)) % 1.52/1.74 (define @t39 () (@list @t34)) % 1.52/1.74 (define @t40 () (forall @t39 (=> @t38 @t36))) % 1.52/1.74 (define @t41 () (tptp.set_intersection2 (tptp.relation_dom @t31) @t1)) % 1.52/1.74 (define @t42 () (= @t37 @t41)) % 1.52/1.74 (define @t43 () (and @t42 @t40)) % 1.52/1.74 (define @t44 () (tptp.relation_dom_restriction @t31 @t1)) % 1.52/1.74 (define @t45 () (= @t2 @t44)) % 1.52/1.74 (define @t46 () (= @t45 @t43)) % 1.52/1.74 (define @t47 () (tptp.function @t31)) % 1.52/1.74 (define @t48 () (tptp.relation @t31)) % 1.52/1.74 (define @t49 () (and @t48 @t47)) % 1.52/1.74 (define @t50 () (=> @t49 @t46)) % 1.52/1.74 (define @t51 () (@list @t31)) % 1.52/1.74 (define @t52 () (forall @t51 @t50)) % 1.52/1.74 (define @t53 () (tptp.function @t2)) % 1.52/1.74 (define @t54 () (and @t19 @t53)) % 1.52/1.74 (define @t55 () (=> @t54 @t52)) % 1.52/1.74 (define @t56 () (forall @t4 @t55)) % 1.52/1.74 (define @t57 () (= (tptp.apply @t44 @t2) (tptp.apply @t31 @t2))) % 1.52/1.74 (define @t58 () (tptp.in @t2 @t41)) % 1.52/1.74 (define @t59 () (=> @t58 @t57)) % 1.52/1.74 (define @t60 () (forall @t33 (=> @t49 @t59))) % 1.52/1.74 (define @t61 () (not @t60)) % 1.52/1.74 (define @t62 () (@var "BOUND_VARIABLE_7749" $$unsorted)) % 1.52/1.74 (define @t63 () (not @t38)) % 1.52/1.74 (define @t64 () (= (= @t2 (tptp.relation_dom_restriction @t62 @t1)) (and (= @t37 (tptp.set_intersection2 (tptp.relation_dom @t62) @t1)) (forall @t39 (or @t63 (= @t35 (tptp.apply @t62 @t34))))))) % 1.52/1.74 (define @t65 () (not (tptp.function @t62))) % 1.52/1.74 (define @t66 () (not (tptp.relation @t62))) % 1.52/1.74 (define @t67 () (not @t53)) % 1.52/1.74 (define @t68 () (not @t19)) % 1.52/1.74 (define @t69 () (or @t68 @t67 @t66 @t65 @t64)) % 1.52/1.74 (define @t70 () (or @t66 @t65 @t64)) % 1.52/1.74 (define @t71 () (or @t68 @t67 @t70)) % 1.52/1.74 (define @t72 () (@list @t1 @t2 @t62)) % 1.52/1.74 (define @t73 () (forall @t72 @t71)) % 1.52/1.74 (define @t74 () (@list @t62)) % 1.52/1.74 (define @t75 () (forall @t74 @t71)) % 1.52/1.74 (define @t76 () (forall @t74 @t70)) % 1.52/1.74 (define @t77 () (or @t68 @t67 @t76)) % 1.52/1.74 (define @t78 () (= @t45 (and @t42 (forall @t39 (or @t63 @t36))))) % 1.52/1.74 (define @t79 () (not @t47)) % 1.52/1.74 (define @t80 () (not @t48)) % 1.52/1.74 (define @t81 () (or @t80 @t79 @t78)) % 1.52/1.74 (define @t82 () (forall @t51 @t81)) % 1.52/1.74 (define @t83 () (or @t68 @t67 @t82)) % 1.52/1.74 (define @t84 () (or @t80 @t79)) % 1.52/1.74 (define @t85 () (not @t49)) % 1.52/1.74 (define @t86 () (not @t58)) % 1.52/1.74 (define @t87 () (or @t80 @t79 @t86 @t57)) % 1.52/1.74 (define @t88 () (forall @t33 @t87)) % 1.52/1.74 (define @t89 () (@quantifiers_skolemize @t88 0)) % 1.52/1.74 (define @t90 () (@quantifiers_skolemize @t88 2)) % 1.52/1.74 (define @t91 () (tptp.relation_dom_restriction @t90 @t89)) % 1.52/1.74 (define @t92 () (tptp.apply @t91 @t34)) % 1.52/1.74 (define @t93 () (tptp.apply @t90 @t34)) % 1.52/1.74 (define @t94 () (tptp.relation_dom @t91)) % 1.52/1.74 (define @t95 () (not (tptp.in @t34 @t94))) % 1.52/1.74 (define @t96 () (forall @t39 (or @t95 (= @t93 @t92)))) % 1.52/1.74 (define @t97 () (tptp.set_intersection2 (tptp.relation_dom @t90) @t89)) % 1.52/1.74 (define @t98 () (= @t97 @t94)) % 1.52/1.74 (define @t99 () (and @t98 @t96)) % 1.52/1.74 (define @t100 () (or @t95 (= @t92 @t93))) % 1.52/1.74 (define @t101 () (forall @t39 @t100)) % 1.52/1.74 (define @t102 () (and (= @t94 @t97) @t101)) % 1.52/1.74 (define @t103 () (= (= @t91 @t91) @t102)) % 1.52/1.74 (define @t104 () (tptp.function @t90)) % 1.52/1.74 (define @t105 () (not @t104)) % 1.52/1.74 (define @t106 () (tptp.relation @t90)) % 1.52/1.74 (define @t107 () (not @t106)) % 1.52/1.74 (define @t108 () (tptp.function @t91)) % 1.52/1.74 (define @t109 () (not @t108)) % 1.52/1.74 (define @t110 () (tptp.relation @t91)) % 1.52/1.74 (define @t111 () (not @t110)) % 1.52/1.74 (define @t112 () (or @t111 @t109 @t107 @t105 @t103)) % 1.52/1.74 (define @t113 () (forall @t72 @t69)) % 1.52/1.74 (define @t114 () (or @t111 @t109 @t107 @t105 @t99)) % 1.52/1.74 (define @t115 () (@list false)) % 1.52/1.74 (define @t116 () (not @t5)) % 1.52/1.74 (define @t117 () (not @t8)) % 1.52/1.74 (define @t118 () (@list @t90 @t89)) % 1.52/1.74 (define @t119 () (@quantifiers_skolemize @t88 1)) % 1.52/1.74 (define @t120 () (tptp.apply @t90 @t119)) % 1.52/1.74 (define @t121 () (tptp.apply @t91 @t119)) % 1.52/1.74 (define @t122 () (= @t121 @t120)) % 1.52/1.74 (define @t123 () (tptp.in @t119 @t97)) % 1.52/1.74 (define @t124 () (not @t123)) % 1.52/1.74 (define @t125 () (or @t107 @t105 @t124 @t122)) % 1.52/1.74 (define @t126 () (@list true)) % 1.52/1.74 (define @t127 () (@list @t125)) % 1.52/1.74 (define @t128 () (and @t110 @t108)) % 1.52/1.74 (define @t129 () (or @t107 @t105 @t128)) % 1.52/1.74 (define @t130 () (or @t107 @t110)) % 1.52/1.74 (define @t131 () (not @t99)) % 1.52/1.74 (define @t132 () (@list @t99)) % 1.52/1.74 (define @t133 () (not (tptp.in @t119 @t94))) % 1.52/1.74 (define @t134 () (or @t133 (= @t120 @t121))) % 1.52/1.74 (define @t135 () (or @t133 @t122)) % 1.52/1.74 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 1.52/1.74 (assume @p2 (forall @t7 (=> @t6 @t5))) % 1.52/1.74 (assume @p3 (forall @t7 (=> @t6 @t8))) % 1.52/1.74 (assume @p4 (forall @t7 (=> @t10 @t9))) % 1.52/1.74 (assume @p5 (forall @t4 (= @t11 (tptp.set_intersection2 @t2 @t1)))) % 1.52/1.74 (assume @p6 @t14) % 1.52/1.74 (assume @p7 (forall @t7 (exists @t15 (tptp.element @t2 @t1)))) % 1.52/1.74 (assume @p8 (and @t17 @t16 (tptp.relation_empty_yielding tptp.empty_set))) % 1.52/1.74 (assume @p9 (forall @t4 (=> @t18 (and @t13 (tptp.relation_empty_yielding @t12))))) % 1.52/1.74 (assume @p10 (forall @t4 (=> (and @t8 @t19) (tptp.relation @t11)))) % 1.52/1.74 (assume @p11 (forall @t7 (not (tptp.empty @t20)))) % 1.52/1.74 (assume @p12 @t17) % 1.52/1.74 (assume @p13 @t23) % 1.52/1.74 (assume @p14 (and @t17 @t16)) % 1.52/1.74 (assume @p15 (forall @t7 (=> @t27 (not @t25)))) % 1.52/1.74 (assume @p16 (forall @t7 (=> @t6 (and @t25 (tptp.relation @t24))))) % 1.52/1.74 (assume @p17 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 1.52/1.74 (assume @p18 (exists @t7 @t22)) % 1.52/1.74 (assume @p19 (exists @t7 (and @t6 @t8))) % 1.52/1.74 (assume @p20 (forall @t7 (=> @t26 (exists @t15 (and @t29 (not @t28)))))) % 1.52/1.74 (assume @p21 (exists @t7 @t6)) % 1.52/1.74 (assume @p22 (exists @t7 @t10)) % 1.52/1.74 (assume @p23 (exists @t7 @t27)) % 1.52/1.74 (assume @p24 (forall @t7 (exists @t15 (and @t29 @t28)))) % 1.52/1.74 (assume @p25 (exists @t7 @t26)) % 1.52/1.74 (assume @p26 (exists @t7 @t9)) % 1.52/1.74 (assume @p27 (exists @t7 @t18)) % 1.52/1.74 (assume @p28 (forall @t4 (tptp.subset @t1 @t1))) % 1.52/1.74 (assume @p29 (forall @t4 (=> @t3 @t30))) % 1.52/1.74 (assume @p30 (forall @t7 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 1.52/1.74 (assume @p31 (forall @t4 (=> @t30 (or @t28 @t3)))) % 1.52/1.74 (assume @p32 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 1.52/1.74 (assume @p33 (forall @t33 (=> (and @t3 @t32) (tptp.element @t1 @t31)))) % 1.52/1.74 (assume @p34 (forall @t33 (not (and @t3 @t32 (tptp.empty @t31))))) % 1.52/1.74 (assume @p35 @t56) % 1.52/1.74 (assume @p36 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 1.52/1.74 (assume @p37 @t61) % 1.52/1.74 (assume @p38 (forall @t4 (not (and @t3 @t28)))) % 1.52/1.74 (assume @p39 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t28)))) % 1.52/1.74 (assume @p40 true) % 1.52/1.74 (step @p41 :rule evaluate :args ((= true false))) % 1.52/1.74 (step @p42 :rule aci_norm :args ((= @t71 @t69))) % 1.52/1.74 (step @p43 :rule cong :premises (@p42) :args (@t73)) % 1.52/1.74 (step @p44 :rule quant-merge-prenex :args ((= (forall @t4 @t75) @t73))) % 1.52/1.74 (step @p45 :rule alpha_equiv :args (@t76 (@list @t62) (@list @t31))) % 1.52/1.74 (step @p46 :rule refl :args (@t67)) % 1.52/1.74 (step @p47 :rule refl :args (@t68)) % 1.52/1.74 (step @p48 :rule nary_cong :premises (@p47 @p46 @p45) :args (@t77)) % 1.52/1.74 (step @p49 :rule quant-miniscope-or :args ((= @t75 @t77))) % 1.52/1.74 (step @p50 :rule trans :premises (@p49 @p48)) % 1.52/1.74 (step @p51 :rule symm :premises (@p50)) % 1.52/1.74 (step @p52 :rule cong :premises (@p51) :args ((forall @t4 @t83))) % 1.52/1.74 (step @p53 :rule trans :premises (@p52 @p44)) % 1.52/1.74 (step @p54 :rule trans :premises (@p53 @p43)) % 1.52/1.74 (step @p55 :rule aci_norm :args ((= (or (or @t68 @t67) @t82) @t83))) % 1.52/1.74 (step @p56 :rule refl :args (@t82)) % 1.52/1.74 (step @p57 :rule bool-and-de-morgan :args (@t19 @t53 true)) % 1.52/1.74 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or (not @t54) @t82))) % 1.52/1.74 (step @p59 :rule trans :premises (@p58 @p55)) % 1.52/1.74 (step @p60 :rule bool-impl-elim :args (@t54 @t82)) % 1.52/1.74 (step @p61 :rule trans :premises (@p60 @p59)) % 1.52/1.74 (step @p62 :rule cong :premises (@p61) :args ((forall @t4 (=> @t54 @t82)))) % 1.52/1.74 (step @p63 :rule trans :premises (@p62 @p54)) % 1.52/1.74 (step @p64 :rule aci_norm :args ((= (or @t84 @t78) @t81))) % 1.52/1.74 (step @p65 :rule refl :args (@t78)) % 1.52/1.74 (step @p66 :rule bool-and-de-morgan :args (@t48 @t47 true)) % 1.52/1.74 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t85 @t78))) % 1.52/1.74 (step @p68 :rule trans :premises (@p67 @p64)) % 1.52/1.74 (step @p69 :rule bool-impl-elim :args (@t49 @t78)) % 1.52/1.74 (step @p70 :rule trans :premises (@p69 @p68)) % 1.52/1.74 (step @p71 :rule cong :premises (@p70) :args ((forall @t51 (=> @t49 @t78)))) % 1.52/1.74 (step @p72 :rule bool-impl-elim :args (@t38 @t36)) % 1.52/1.74 (step @p73 :rule cong :premises (@p72) :args (@t40)) % 1.52/1.74 (step @p74 :rule refl :args (@t42)) % 1.52/1.74 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t43)) % 1.52/1.74 (step @p76 :rule refl :args (@t45)) % 1.52/1.74 (step @p77 :rule cong :premises (@p76 @p75) :args (@t46)) % 1.52/1.74 (step @p78 :rule refl :args (@t49)) % 1.52/1.74 (step @p79 :rule cong :premises (@p78 @p77) :args (@t50)) % 1.52/1.74 (step @p80 :rule cong :premises (@p79) :args (@t52)) % 1.52/1.74 (step @p81 :rule trans :premises (@p80 @p71)) % 1.52/1.74 (step @p82 :rule refl :args (@t54)) % 1.52/1.74 (step @p83 :rule cong :premises (@p82 @p81) :args (@t55)) % 1.52/1.74 (step @p84 :rule cong :premises (@p83) :args (@t56)) % 1.52/1.74 (step @p85 :rule trans :premises (@p84 @p63)) % 1.52/1.74 (step @p86 :rule eq_resolve :premises (@p35 @p85)) % 1.52/1.74 (step @p87 :rule bool-eq-true :args (@t99)) % 1.52/1.74 (step @p88 :rule eq-symm :args (true @t99)) % 1.52/1.74 (step @p89 :rule trans :premises (@p88 @p87)) % 1.52/1.74 (step @p90 :rule eq-symm :args (@t92 @t93)) % 1.52/1.74 (step @p91 :rule refl :args (@t95)) % 1.52/1.74 (step @p92 :rule nary_cong :premises (@p91 @p90) :args (@t100)) % 1.52/1.74 (step @p93 :rule cong :premises (@p92) :args (@t101)) % 1.52/1.74 (step @p94 :rule eq-symm :args (@t94 @t97)) % 1.52/1.74 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t102)) % 1.52/1.74 (step @p96 :rule eq-refl :args (@t91)) % 1.52/1.74 (step @p97 :rule cong :premises (@p96 @p95) :args (@t103)) % 1.52/1.74 (step @p98 :rule trans :premises (@p97 @p89)) % 1.52/1.74 (step @p99 :rule refl :args (@t105)) % 1.52/1.74 (step @p100 :rule refl :args (@t107)) % 1.52/1.74 (step @p101 :rule refl :args (@t109)) % 1.52/1.74 (step @p102 :rule refl :args (@t111)) % 1.52/1.74 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100 @p99 @p98) :args (@t112)) % 1.52/1.74 (step @p104 :rule refl :args (@t113)) % 1.52/1.74 (step @p105 :rule cong :premises (@p104 @p103) :args ((=> @t113 @t112))) % 1.52/1.74 (assume-push @p198 @t113) % 1.52/1.74 (step @p107 :rule instantiate :premises (@p86) :args ((@list @t89 @t91 @t90))) % 1.52/1.74 (step-pop @p199 :rule scope :premises (@p107)) % 1.52/1.74 (step @p108 :rule process_scope :premises (@p199) :args (@t112)) % 1.52/1.74 (step @p110 :rule eq_resolve :premises (@p108 @p105)) % 1.52/1.74 (step @p111 :rule implies_elim :premises (@p110)) % 1.52/1.74 (step @p112 :rule chain_m_resolution :premises (@p111 @p86) :args (@t114 @t115 (@list @t113))) % 1.52/1.74 (step @p113 :rule aci_norm :args ((= (or (or @t117 @t116) @t21) (or @t117 @t116 @t21)))) % 1.52/1.74 (step @p114 :rule refl :args (@t21)) % 1.52/1.74 (step @p115 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 1.52/1.74 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or (not @t22) @t21))) % 1.52/1.74 (step @p117 :rule trans :premises (@p116 @p113)) % 1.52/1.74 (step @p118 :rule bool-impl-elim :args (@t22 @t21)) % 1.52/1.74 (step @p119 :rule trans :premises (@p118 @p117)) % 1.52/1.74 (step @p120 :rule cong :premises (@p119) :args (@t23)) % 1.52/1.74 (step @p121 :rule eq_resolve :premises (@p13 @p120)) % 1.52/1.74 (step @p122 :rule instantiate :premises (@p121) :args (@t118)) % 1.52/1.74 (step @p123 :rule aci_norm :args ((= (or @t84 (or @t86 @t57)) @t87))) % 1.52/1.74 (step @p124 :rule bool-impl-elim :args (@t58 @t57)) % 1.52/1.74 (step @p125 :rule nary_cong :premises (@p66 @p124) :args ((or @t85 @t59))) % 1.52/1.74 (step @p126 :rule trans :premises (@p125 @p123)) % 1.52/1.74 (step @p127 :rule bool-impl-elim :args (@t49 @t59)) % 1.52/1.74 (step @p128 :rule trans :premises (@p127 @p126)) % 1.52/1.74 (step @p129 :rule cong :premises (@p128) :args (@t60)) % 1.52/1.74 (step @p130 :rule cong :premises (@p129) :args (@t61)) % 1.52/1.74 (step @p131 :rule eq_resolve :premises (@p37 @p130)) % 1.52/1.74 (step @p132 :rule skolemize :premises (@p131)) % 1.52/1.74 (step @p133 :rule bool-double-not-elim :args (@t104)) % 1.52/1.74 (step @p134 :rule refl :args (@t125)) % 1.52/1.74 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t125 (not @t105)))) % 1.52/1.74 (step @p136 :rule cnf_or_neg :args (@t125 1)) % 1.52/1.74 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 1.52/1.74 (step @p138 :rule reordering :premises (@p137) :args ((or @t104 @t125))) % 1.52/1.74 (step @p139 :rule chain_m_resolution :premises (@p138 @p132) :args (@t104 @t126 @t127)) % 1.52/1.74 (step @p140 :rule bool-double-not-elim :args (@t106)) % 1.52/1.74 (step @p141 :rule nary_cong :premises (@p134 @p140) :args ((or @t125 (not @t107)))) % 1.52/1.74 (step @p142 :rule cnf_or_neg :args (@t125 0)) % 1.52/1.74 (step @p143 :rule eq_resolve :premises (@p142 @p141)) % 1.52/1.74 (step @p144 :rule reordering :premises (@p143) :args ((or @t106 @t125))) % 1.52/1.74 (step @p145 :rule chain_m_resolution :premises (@p144 @p132) :args (@t106 @t126 @t127)) % 1.52/1.74 (step @p146 :rule cnf_or_pos :args (@t129)) % 1.52/1.74 (step @p147 :rule reordering :premises (@p146) :args ((or @t107 @t105 @t128 (not @t129)))) % 1.52/1.74 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p139 @p122) :args (@t128 (@list false false false) (@list @t106 @t104 @t129))) % 1.52/1.74 (step @p149 :rule cnf_and_pos :args (@t128 1)) % 1.52/1.74 (step @p150 :rule reordering :premises (@p149) :args ((or @t108 (not @t128)))) % 1.52/1.74 (step @p151 :rule chain_m_resolution :premises (@p150 @p148) :args (@t108 @t115 (@list @t128))) % 1.52/1.74 (step @p152 :rule bool-impl-elim :args (@t8 @t13)) % 1.52/1.74 (step @p153 :rule cong :premises (@p152) :args (@t14)) % 1.52/1.74 (step @p154 :rule eq_resolve :premises (@p6 @p153)) % 1.52/1.74 (step @p155 :rule instantiate :premises (@p154) :args (@t118)) % 1.52/1.74 (step @p156 :rule cnf_or_pos :args (@t130)) % 1.52/1.74 (step @p157 :rule reordering :premises (@p156) :args ((or @t107 @t110 (not @t130)))) % 1.52/1.74 (step @p158 :rule chain_m_resolution :premises (@p157 @p145 @p155) :args (@t110 (@list false false) (@list @t106 @t130))) % 1.52/1.74 (step @p159 :rule cnf_or_pos :args (@t114)) % 1.52/1.74 (step @p160 :rule reordering :premises (@p159) :args ((or @t107 @t105 @t111 @t109 @t99 (not @t114)))) % 1.52/1.74 (step @p161 :rule chain_m_resolution :premises (@p160 @p145 @p139 @p158 @p151 @p112) :args (@t99 (@list false false false false false) (@list @t106 @t104 @t110 @t108 @t114))) % 1.52/1.74 (step @p162 :rule cnf_and_pos :args (@t99 1)) % 1.52/1.74 (step @p163 :rule reordering :premises (@p162) :args ((or @t96 @t131))) % 1.52/1.74 (step @p164 :rule chain_m_resolution :premises (@p163 @p161) :args (@t96 @t115 @t132)) % 1.52/1.74 (step @p165 :rule eq-symm :args (@t120 @t121)) % 1.52/1.74 (step @p166 :rule refl :args (@t133)) % 1.52/1.74 (step @p167 :rule nary_cong :premises (@p166 @p165) :args (@t134)) % 1.52/1.74 (step @p168 :rule refl :args (@t96)) % 1.52/1.74 (step @p169 :rule cong :premises (@p168 @p167) :args ((=> @t96 @t134))) % 1.52/1.74 (assume-push @p200 @t96) % 1.52/1.74 (step @p171 :rule instantiate :premises (@p164) :args ((@list @t119))) % 1.52/1.74 (step-pop @p201 :rule scope :premises (@p171)) % 1.52/1.74 (step @p172 :rule process_scope :premises (@p201) :args (@t134)) % 1.52/1.74 (step @p174 :rule eq_resolve :premises (@p172 @p169)) % 1.52/1.74 (step @p175 :rule implies_elim :premises (@p174)) % 1.52/1.74 (step @p176 :rule chain_m_resolution :premises (@p175 @p164) :args (@t135 @t115 (@list @t96))) % 1.52/1.74 (step @p177 :rule cnf_or_neg :args (@t125 3)) % 1.52/1.74 (step @p178 :rule chain_m_resolution :premises (@p177 @p132) :args ((not @t122) @t126 @t127)) % 1.52/1.75 (step @p179 :rule cnf_or_pos :args (@t135)) % 1.52/1.75 (step @p180 :rule reordering :premises (@p179) :args ((or @t122 @t133 (not @t135)))) % 1.52/1.75 (step @p181 :rule chain_m_resolution :premises (@p180 @p178 @p176) :args (@t133 (@list true false) (@list @t122 @t135))) % 1.52/1.75 (step @p182 :rule false_intro :premises (@p181)) % 1.52/1.75 (step @p183 :rule cnf_and_pos :args (@t99 0)) % 1.52/1.75 (step @p184 :rule reordering :premises (@p183) :args ((or @t98 @t131))) % 1.52/1.75 (step @p185 :rule chain_m_resolution :premises (@p184 @p161) :args (@t98 @t115 @t132)) % 1.52/1.75 (step @p186 :rule refl :args (@t119)) % 1.52/1.75 (step @p187 :rule cong :premises (@p186 @p185) :args (@t123)) % 1.52/1.75 (step @p188 :rule bool-double-not-elim :args (@t123)) % 1.52/1.75 (step @p189 :rule nary_cong :premises (@p134 @p188) :args ((or @t125 (not @t124)))) % 1.52/1.75 (step @p190 :rule cnf_or_neg :args (@t125 2)) % 1.52/1.75 (step @p191 :rule eq_resolve :premises (@p190 @p189)) % 1.52/1.75 (step @p192 :rule reordering :premises (@p191) :args ((or @t123 @t125))) % 1.52/1.75 (step @p193 :rule chain_m_resolution :premises (@p192 @p132) :args (@t123 @t126 @t127)) % 1.52/1.75 (step @p194 :rule true_intro :premises (@p193)) % 1.52/1.75 (step @p195 :rule symm :premises (@p194)) % 1.52/1.75 (step @p196 :rule trans :premises (@p195 @p187 @p182)) % 1.52/1.75 (step @p197 false :rule eq_resolve :premises (@p196 @p41)) % 1.52/1.75 ) % 1.52/1.75 % SZS output end Proof % 1.52/1.75 % cvc5 exiting %------------------------------------------------------------------------------