%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU045+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 : n002.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 08:50:30 AM UTC 2026 % Result : Theorem 1.86s 2.05s % Output : Proof 1.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU045+1 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n002.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 16:24:33 EDT 2026 % 0.19/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 1.86/2.05 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.86/2.05 % SZS status Theorem % 1.86/2.05 % SZS output start Proof % 1.86/2.05 ( % 1.86/2.05 (declare-sort $$unsorted 0) % 1.86/2.05 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 1.86/2.05 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.86/2.05 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 1.86/2.05 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 1.86/2.05 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 1.86/2.05 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.86/2.05 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 1.86/2.05 (declare-const tptp.empty (-> $$unsorted Bool)) % 1.86/2.05 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.86/2.05 (declare-const tptp.function (-> $$unsorted Bool)) % 1.86/2.05 (declare-const tptp.relation (-> $$unsorted Bool)) % 1.86/2.05 (declare-const tptp.empty_set $$unsorted) % 1.86/2.05 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.86/2.05 (define @t1 () (@var "A" $$unsorted)) % 1.86/2.05 (define @t2 () (@var "B" $$unsorted)) % 1.86/2.05 (define @t3 () (@list @t1 @t2)) % 1.86/2.05 (define @t4 () (tptp.relation tptp.empty_set)) % 1.86/2.05 (define @t5 () (tptp.empty tptp.empty_set)) % 1.86/2.05 (define @t6 () (@list @t2)) % 1.86/2.05 (define @t7 () (@list @t1)) % 1.86/2.05 (define @t8 () (tptp.function @t1)) % 1.86/2.05 (define @t9 () (tptp.empty @t1)) % 1.86/2.05 (define @t10 () (tptp.relation @t1)) % 1.86/2.05 (define @t11 () (and @t10 @t8 (tptp.one_to_one @t1))) % 1.86/2.05 (define @t12 () (and @t10 @t9 @t8)) % 1.86/2.05 (define @t13 () (tptp.powerset @t1)) % 1.86/2.05 (define @t14 () (tptp.relation_dom @t1)) % 1.86/2.05 (define @t15 () (tptp.empty @t14)) % 1.86/2.05 (define @t16 () (not @t9)) % 1.86/2.05 (define @t17 () (and @t16 @t10)) % 1.86/2.05 (define @t18 () (tptp.in @t1 @t2)) % 1.86/2.05 (define @t19 () (tptp.empty @t2)) % 1.86/2.05 (define @t20 () (tptp.element @t1 @t2)) % 1.86/2.05 (define @t21 () (@var "C" $$unsorted)) % 1.86/2.05 (define @t22 () (tptp.element @t2 (tptp.powerset @t21))) % 1.86/2.05 (define @t23 () (@list @t1 @t2 @t21)) % 1.86/2.05 (define @t24 () (tptp.relation_rng_restriction @t1 @t2)) % 1.86/2.05 (define @t25 () (tptp.relation @t24)) % 1.86/2.05 (define @t26 () (tptp.relation @t2)) % 1.86/2.05 (define @t27 () (forall @t3 (=> @t26 @t25))) % 1.86/2.05 (define @t28 () (and @t25 (tptp.function @t24))) % 1.86/2.05 (define @t29 () (tptp.function @t2)) % 1.86/2.05 (define @t30 () (and @t26 @t29)) % 1.86/2.05 (define @t31 () (forall @t3 (=> @t30 @t28))) % 1.86/2.05 (define @t32 () (tptp.element @t2 @t13)) % 1.86/2.05 (define @t33 () (tptp.relation_rng_restriction @t1 @t21)) % 1.86/2.05 (define @t34 () (= (tptp.apply @t33 @t2) (tptp.apply @t21 @t2))) % 1.86/2.05 (define @t35 () (tptp.in @t2 (tptp.relation_dom @t33))) % 1.86/2.05 (define @t36 () (=> @t35 @t34)) % 1.86/2.05 (define @t37 () (tptp.function @t21)) % 1.86/2.05 (define @t38 () (tptp.relation @t21)) % 1.86/2.05 (define @t39 () (and @t38 @t37)) % 1.86/2.05 (define @t40 () (forall @t23 (=> @t39 @t36))) % 1.86/2.05 (define @t41 () (not @t40)) % 1.86/2.05 (define @t42 () (@var "D" $$unsorted)) % 1.86/2.05 (define @t43 () (tptp.apply @t21 @t42)) % 1.86/2.05 (define @t44 () (tptp.apply @t2 @t42)) % 1.86/2.05 (define @t45 () (tptp.in @t42 (tptp.relation_dom @t2))) % 1.86/2.05 (define @t46 () (=> @t45 (= @t44 @t43))) % 1.86/2.05 (define @t47 () (@list @t42)) % 1.86/2.05 (define @t48 () (forall @t47 @t46)) % 1.86/2.05 (define @t49 () (forall @t47 (= @t45 (and (tptp.in @t42 (tptp.relation_dom @t21)) (tptp.in @t43 @t1))))) % 1.86/2.05 (define @t50 () (and @t49 @t48)) % 1.86/2.05 (define @t51 () (= @t2 @t33)) % 1.86/2.05 (define @t52 () (= @t51 @t50)) % 1.86/2.05 (define @t53 () (=> @t39 @t52)) % 1.86/2.05 (define @t54 () (@list @t21)) % 1.86/2.05 (define @t55 () (forall @t54 @t53)) % 1.86/2.05 (define @t56 () (=> @t30 @t55)) % 1.86/2.05 (define @t57 () (forall @t3 @t56)) % 1.86/2.05 (define @t58 () (@var "BOUND_VARIABLE_7737" $$unsorted)) % 1.86/2.05 (define @t59 () (tptp.apply @t58 @t42)) % 1.86/2.05 (define @t60 () (not @t45)) % 1.86/2.05 (define @t61 () (or @t60 (= @t59 @t44))) % 1.86/2.05 (define @t62 () (forall @t47 @t61)) % 1.86/2.05 (define @t63 () (forall @t47 (= @t45 (and (tptp.in @t42 (tptp.relation_dom @t58)) (tptp.in @t59 @t1))))) % 1.86/2.05 (define @t64 () (and @t63 @t62)) % 1.86/2.05 (define @t65 () (= @t2 (tptp.relation_rng_restriction @t1 @t58))) % 1.86/2.05 (define @t66 () (= @t65 @t64)) % 1.86/2.05 (define @t67 () (not (tptp.function @t58))) % 1.86/2.05 (define @t68 () (not (tptp.relation @t58))) % 1.86/2.05 (define @t69 () (not @t29)) % 1.86/2.05 (define @t70 () (not @t26)) % 1.86/2.05 (define @t71 () (or @t70 @t69 @t68 @t67 @t66)) % 1.86/2.05 (define @t72 () (or @t68 @t67 @t66)) % 1.86/2.05 (define @t73 () (or @t70 @t69 @t72)) % 1.86/2.05 (define @t74 () (@list @t1 @t2 @t58)) % 1.86/2.05 (define @t75 () (forall @t74 @t73)) % 1.86/2.05 (define @t76 () (@list @t58)) % 1.86/2.05 (define @t77 () (forall @t76 @t73)) % 1.86/2.05 (define @t78 () (forall @t76 @t72)) % 1.86/2.05 (define @t79 () (or @t70 @t69 @t78)) % 1.86/2.05 (define @t80 () (= @t43 @t44)) % 1.86/2.05 (define @t81 () (= @t51 (and @t49 (forall @t47 (or @t60 @t80))))) % 1.86/2.05 (define @t82 () (not @t37)) % 1.86/2.05 (define @t83 () (not @t38)) % 1.86/2.05 (define @t84 () (or @t83 @t82 @t81)) % 1.86/2.05 (define @t85 () (forall @t54 @t84)) % 1.86/2.05 (define @t86 () (or @t70 @t69 @t85)) % 1.86/2.05 (define @t87 () (or @t70 @t69)) % 1.86/2.05 (define @t88 () (not @t30)) % 1.86/2.05 (define @t89 () (or @t83 @t82)) % 1.86/2.05 (define @t90 () (not @t39)) % 1.86/2.05 (define @t91 () (not @t35)) % 1.86/2.05 (define @t92 () (or @t83 @t82 @t91 @t34)) % 1.86/2.05 (define @t93 () (forall @t23 @t92)) % 1.86/2.05 (define @t94 () (@quantifiers_skolemize @t93 2)) % 1.86/2.05 (define @t95 () (@quantifiers_skolemize @t93 0)) % 1.86/2.05 (define @t96 () (tptp.relation_rng_restriction @t95 @t94)) % 1.86/2.05 (define @t97 () (tptp.apply @t96 @t42)) % 1.86/2.05 (define @t98 () (tptp.apply @t94 @t42)) % 1.86/2.05 (define @t99 () (tptp.relation_dom @t96)) % 1.86/2.05 (define @t100 () (tptp.in @t42 @t99)) % 1.86/2.05 (define @t101 () (not @t100)) % 1.86/2.05 (define @t102 () (forall @t47 (or @t101 (= @t98 @t97)))) % 1.86/2.05 (define @t103 () (and (tptp.in @t42 (tptp.relation_dom @t94)) (tptp.in @t98 @t95))) % 1.86/2.05 (define @t104 () (and (forall @t47 (= @t103 @t100)) @t102)) % 1.86/2.05 (define @t105 () (or @t101 (= @t97 @t98))) % 1.86/2.05 (define @t106 () (forall @t47 @t105)) % 1.86/2.05 (define @t107 () (forall @t47 (= @t100 @t103))) % 1.86/2.05 (define @t108 () (and @t107 @t106)) % 1.86/2.05 (define @t109 () (= (= @t96 @t96) @t108)) % 1.86/2.05 (define @t110 () (tptp.function @t94)) % 1.86/2.05 (define @t111 () (not @t110)) % 1.86/2.05 (define @t112 () (tptp.relation @t94)) % 1.86/2.05 (define @t113 () (not @t112)) % 1.86/2.05 (define @t114 () (tptp.function @t96)) % 1.86/2.05 (define @t115 () (not @t114)) % 1.86/2.05 (define @t116 () (tptp.relation @t96)) % 1.86/2.05 (define @t117 () (not @t116)) % 1.86/2.05 (define @t118 () (or @t117 @t115 @t113 @t111 @t109)) % 1.86/2.05 (define @t119 () (forall @t74 (or @t70 @t69 @t68 @t67 (= @t65 (and @t63 (forall @t47 (or @t60 (= @t44 @t59)))))))) % 1.86/2.05 (define @t120 () (or @t117 @t115 @t113 @t111 @t104)) % 1.86/2.05 (define @t121 () (@list false)) % 1.86/2.05 (define @t122 () (@list @t95 @t94)) % 1.86/2.05 (define @t123 () (@quantifiers_skolemize @t93 1)) % 1.86/2.05 (define @t124 () (tptp.apply @t94 @t123)) % 1.86/2.05 (define @t125 () (tptp.apply @t96 @t123)) % 1.86/2.05 (define @t126 () (= @t125 @t124)) % 1.86/2.05 (define @t127 () (tptp.in @t123 @t99)) % 1.86/2.05 (define @t128 () (not @t127)) % 1.86/2.05 (define @t129 () (or @t113 @t111 @t128 @t126)) % 1.86/2.05 (define @t130 () (@list true)) % 1.86/2.05 (define @t131 () (@list @t129)) % 1.86/2.05 (define @t132 () (and @t116 @t114)) % 1.86/2.05 (define @t133 () (or @t113 @t111 @t132)) % 1.86/2.05 (define @t134 () (or @t113 @t116)) % 1.86/2.05 (define @t135 () (or @t128 @t126)) % 1.86/2.05 (define @t136 () (not @t135)) % 1.86/2.05 (define @t137 () (or @t128 (= @t124 @t125))) % 1.86/2.05 (assume @p1 (forall @t3 (tptp.subset @t1 @t1))) % 1.86/2.05 (assume @p2 (and @t5 @t4)) % 1.86/2.05 (assume @p3 (and @t5 @t4 (tptp.relation_empty_yielding tptp.empty_set))) % 1.86/2.05 (assume @p4 @t5) % 1.86/2.05 (assume @p5 (forall @t7 (exists @t6 (tptp.element @t2 @t1)))) % 1.86/2.05 (assume @p6 (forall @t7 (=> @t9 @t8))) % 1.86/2.05 (assume @p7 (forall @t7 (=> @t12 @t11))) % 1.86/2.05 (assume @p8 (forall @t7 (not (tptp.empty @t13)))) % 1.86/2.05 (assume @p9 (forall @t7 (=> @t17 (not @t15)))) % 1.86/2.05 (assume @p10 (forall @t7 (=> @t9 (and @t15 (tptp.relation @t14))))) % 1.86/2.05 (assume @p11 (forall @t7 (=> @t9 @t10))) % 1.86/2.05 (assume @p12 (forall @t3 (=> @t20 (or @t19 @t18)))) % 1.86/2.05 (assume @p13 (forall @t3 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 1.86/2.05 (assume @p14 (forall @t23 (=> (and @t18 @t22) (tptp.element @t1 @t21)))) % 1.86/2.05 (assume @p15 (forall @t23 (not (and @t18 @t22 (tptp.empty @t21))))) % 1.86/2.05 (assume @p16 (forall @t7 (=> @t9 (= @t1 tptp.empty_set)))) % 1.86/2.05 (assume @p17 (forall @t3 (not (and @t9 (not (= @t1 @t2)) @t19)))) % 1.86/2.05 (assume @p18 (forall @t3 (=> @t18 (not (tptp.in @t2 @t1))))) % 1.86/2.05 (assume @p19 @t27) % 1.86/2.05 (assume @p20 @t31) % 1.86/2.05 (assume @p21 (exists @t7 (and @t10 @t8))) % 1.86/2.05 (assume @p22 (exists @t7 @t12)) % 1.86/2.05 (assume @p23 (exists @t7 @t11)) % 1.86/2.05 (assume @p24 (forall @t7 (=> @t16 (exists @t6 (and @t32 (not @t19)))))) % 1.86/2.05 (assume @p25 (forall @t7 (exists @t6 (and @t32 @t19)))) % 1.86/2.05 (assume @p26 (exists @t7 (and @t9 @t10))) % 1.86/2.05 (assume @p27 (exists @t7 @t17)) % 1.86/2.05 (assume @p28 (exists @t7 (and @t10 (tptp.relation_empty_yielding @t1)))) % 1.86/2.05 (assume @p29 (exists @t7 @t9)) % 1.86/2.05 (assume @p30 (exists @t7 @t16)) % 1.86/2.05 (assume @p31 (forall @t3 (=> @t18 @t20))) % 1.86/2.05 (assume @p32 (forall @t3 (not (and @t18 @t19)))) % 1.86/2.05 (assume @p33 @t41) % 1.86/2.05 (assume @p34 @t57) % 1.86/2.05 (assume @p35 true) % 1.86/2.05 (step @p36 :rule eq-symm :args (@t59 @t44)) % 1.86/2.05 (step @p37 :rule refl :args (@t60)) % 1.86/2.05 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t61)) % 1.86/2.05 (step @p39 :rule cong :premises (@p38) :args (@t62)) % 1.86/2.05 (step @p40 :rule refl :args (@t63)) % 1.86/2.05 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t64)) % 1.86/2.05 (step @p42 :rule refl :args (@t65)) % 1.86/2.05 (step @p43 :rule cong :premises (@p42 @p41) :args (@t66)) % 1.86/2.05 (step @p44 :rule refl :args (@t67)) % 1.86/2.05 (step @p45 :rule refl :args (@t68)) % 1.86/2.05 (step @p46 :rule refl :args (@t69)) % 1.86/2.05 (step @p47 :rule refl :args (@t70)) % 1.86/2.05 (step @p48 :rule nary_cong :premises (@p47 @p46 @p45 @p44 @p43) :args (@t71)) % 1.86/2.05 (step @p49 :rule aci_norm :args ((= @t73 @t71))) % 1.86/2.05 (step @p50 :rule trans :premises (@p49 @p48)) % 1.86/2.05 (step @p51 :rule cong :premises (@p50) :args (@t75)) % 1.86/2.05 (step @p52 :rule quant-merge-prenex :args ((= (forall @t3 @t77) @t75))) % 1.86/2.05 (step @p53 :rule alpha_equiv :args (@t78 (@list @t58) (@list @t21))) % 1.86/2.05 (step @p54 :rule refl :args (@t69)) % 1.86/2.05 (step @p55 :rule refl :args (@t70)) % 1.86/2.05 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53) :args (@t79)) % 1.86/2.05 (step @p57 :rule quant-miniscope-or :args ((= @t77 @t79))) % 1.86/2.05 (step @p58 :rule trans :premises (@p57 @p56)) % 1.86/2.05 (step @p59 :rule symm :premises (@p58)) % 1.86/2.05 (step @p60 :rule cong :premises (@p59) :args ((forall @t3 @t86))) % 1.86/2.05 (step @p61 :rule trans :premises (@p60 @p52)) % 1.86/2.05 (step @p62 :rule trans :premises (@p61 @p51)) % 1.86/2.05 (step @p63 :rule aci_norm :args ((= (or @t87 @t85) @t86))) % 1.86/2.05 (step @p64 :rule refl :args (@t85)) % 1.86/2.05 (step @p65 :rule bool-and-de-morgan :args (@t26 @t29 true)) % 1.86/2.05 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t88 @t85))) % 1.86/2.05 (step @p67 :rule trans :premises (@p66 @p63)) % 1.86/2.05 (step @p68 :rule bool-impl-elim :args (@t30 @t85)) % 1.86/2.05 (step @p69 :rule trans :premises (@p68 @p67)) % 1.86/2.05 (step @p70 :rule cong :premises (@p69) :args ((forall @t3 (=> @t30 @t85)))) % 1.86/2.05 (step @p71 :rule trans :premises (@p70 @p62)) % 1.86/2.05 (step @p72 :rule aci_norm :args ((= (or @t89 @t81) @t84))) % 1.86/2.05 (step @p73 :rule refl :args (@t81)) % 1.86/2.05 (step @p74 :rule bool-and-de-morgan :args (@t38 @t37 true)) % 1.86/2.05 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t90 @t81))) % 1.86/2.05 (step @p76 :rule trans :premises (@p75 @p72)) % 1.86/2.05 (step @p77 :rule bool-impl-elim :args (@t39 @t81)) % 1.86/2.05 (step @p78 :rule trans :premises (@p77 @p76)) % 1.86/2.05 (step @p79 :rule cong :premises (@p78) :args ((forall @t54 (=> @t39 @t81)))) % 1.86/2.05 (step @p80 :rule bool-impl-elim :args (@t45 @t80)) % 1.86/2.05 (step @p81 :rule cong :premises (@p80) :args ((forall @t47 (=> @t45 @t80)))) % 1.86/2.05 (step @p82 :rule eq-symm :args (@t44 @t43)) % 1.86/2.05 (step @p83 :rule refl :args (@t45)) % 1.86/2.05 (step @p84 :rule cong :premises (@p83 @p82) :args (@t46)) % 1.86/2.05 (step @p85 :rule cong :premises (@p84) :args (@t48)) % 1.86/2.05 (step @p86 :rule trans :premises (@p85 @p81)) % 1.86/2.05 (step @p87 :rule refl :args (@t49)) % 1.86/2.05 (step @p88 :rule nary_cong :premises (@p87 @p86) :args (@t50)) % 1.86/2.05 (step @p89 :rule refl :args (@t51)) % 1.86/2.05 (step @p90 :rule cong :premises (@p89 @p88) :args (@t52)) % 1.86/2.05 (step @p91 :rule refl :args (@t39)) % 1.86/2.05 (step @p92 :rule cong :premises (@p91 @p90) :args (@t53)) % 1.86/2.05 (step @p93 :rule cong :premises (@p92) :args (@t55)) % 1.86/2.05 (step @p94 :rule trans :premises (@p93 @p79)) % 1.86/2.05 (step @p95 :rule refl :args (@t30)) % 1.86/2.05 (step @p96 :rule cong :premises (@p95 @p94) :args (@t56)) % 1.86/2.05 (step @p97 :rule cong :premises (@p96) :args (@t57)) % 1.86/2.05 (step @p98 :rule trans :premises (@p97 @p71)) % 1.86/2.05 (step @p99 :rule eq_resolve :premises (@p34 @p98)) % 1.86/2.05 (step @p100 :rule bool-eq-true :args (@t104)) % 1.86/2.05 (step @p101 :rule eq-symm :args (true @t104)) % 1.86/2.05 (step @p102 :rule trans :premises (@p101 @p100)) % 1.86/2.05 (step @p103 :rule eq-symm :args (@t97 @t98)) % 1.86/2.05 (step @p104 :rule refl :args (@t101)) % 1.86/2.05 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t105)) % 1.86/2.05 (step @p106 :rule cong :premises (@p105) :args (@t106)) % 1.86/2.05 (step @p107 :rule eq-symm :args (@t100 @t103)) % 1.86/2.05 (step @p108 :rule cong :premises (@p107) :args (@t107)) % 1.86/2.05 (step @p109 :rule nary_cong :premises (@p108 @p106) :args (@t108)) % 1.86/2.05 (step @p110 :rule eq-refl :args (@t96)) % 1.86/2.05 (step @p111 :rule cong :premises (@p110 @p109) :args (@t109)) % 1.86/2.05 (step @p112 :rule trans :premises (@p111 @p102)) % 1.86/2.05 (step @p113 :rule refl :args (@t111)) % 1.86/2.05 (step @p114 :rule refl :args (@t113)) % 1.86/2.05 (step @p115 :rule refl :args (@t115)) % 1.86/2.05 (step @p116 :rule refl :args (@t117)) % 1.86/2.05 (step @p117 :rule nary_cong :premises (@p116 @p115 @p114 @p113 @p112) :args (@t118)) % 1.86/2.05 (step @p118 :rule refl :args (@t119)) % 1.86/2.05 (step @p119 :rule cong :premises (@p118 @p117) :args ((=> @t119 @t118))) % 1.86/2.05 (assume-push @p201 @t119) % 1.86/2.05 (step @p121 :rule instantiate :premises (@p99) :args ((@list @t95 @t96 @t94))) % 1.86/2.05 (step-pop @p202 :rule scope :premises (@p121)) % 1.86/2.05 (step @p122 :rule process_scope :premises (@p202) :args (@t118)) % 1.86/2.05 (step @p124 :rule eq_resolve :premises (@p122 @p119)) % 1.86/2.05 (step @p125 :rule implies_elim :premises (@p124)) % 1.86/2.05 (step @p126 :rule chain_m_resolution :premises (@p125 @p99) :args (@t120 @t121 (@list @t119))) % 1.86/2.05 (step @p127 :rule aci_norm :args ((= (or @t87 @t28) (or @t70 @t69 @t28)))) % 1.86/2.05 (step @p128 :rule refl :args (@t28)) % 1.86/2.05 (step @p129 :rule nary_cong :premises (@p65 @p128) :args ((or @t88 @t28))) % 1.86/2.05 (step @p130 :rule trans :premises (@p129 @p127)) % 1.86/2.05 (step @p131 :rule bool-impl-elim :args (@t30 @t28)) % 1.86/2.05 (step @p132 :rule trans :premises (@p131 @p130)) % 1.86/2.05 (step @p133 :rule cong :premises (@p132) :args (@t31)) % 1.86/2.05 (step @p134 :rule eq_resolve :premises (@p20 @p133)) % 1.86/2.05 (step @p135 :rule instantiate :premises (@p134) :args (@t122)) % 1.86/2.05 (step @p136 :rule aci_norm :args ((= (or @t89 (or @t91 @t34)) @t92))) % 1.86/2.05 (step @p137 :rule bool-impl-elim :args (@t35 @t34)) % 1.86/2.05 (step @p138 :rule nary_cong :premises (@p74 @p137) :args ((or @t90 @t36))) % 1.86/2.05 (step @p139 :rule trans :premises (@p138 @p136)) % 1.86/2.05 (step @p140 :rule bool-impl-elim :args (@t39 @t36)) % 1.86/2.05 (step @p141 :rule trans :premises (@p140 @p139)) % 1.86/2.05 (step @p142 :rule cong :premises (@p141) :args (@t40)) % 1.86/2.05 (step @p143 :rule cong :premises (@p142) :args (@t41)) % 1.86/2.05 (step @p144 :rule eq_resolve :premises (@p33 @p143)) % 1.86/2.05 (step @p145 :rule skolemize :premises (@p144)) % 1.86/2.05 (step @p146 :rule bool-double-not-elim :args (@t110)) % 1.86/2.05 (step @p147 :rule refl :args (@t129)) % 1.86/2.05 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or @t129 (not @t111)))) % 1.86/2.05 (step @p149 :rule cnf_or_neg :args (@t129 1)) % 1.86/2.05 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 1.86/2.05 (step @p151 :rule reordering :premises (@p150) :args ((or @t110 @t129))) % 1.86/2.05 (step @p152 :rule chain_m_resolution :premises (@p151 @p145) :args (@t110 @t130 @t131)) % 1.86/2.05 (step @p153 :rule bool-double-not-elim :args (@t112)) % 1.86/2.05 (step @p154 :rule nary_cong :premises (@p147 @p153) :args ((or @t129 (not @t113)))) % 1.86/2.05 (step @p155 :rule cnf_or_neg :args (@t129 0)) % 1.86/2.05 (step @p156 :rule eq_resolve :premises (@p155 @p154)) % 1.86/2.05 (step @p157 :rule reordering :premises (@p156) :args ((or @t112 @t129))) % 1.86/2.05 (step @p158 :rule chain_m_resolution :premises (@p157 @p145) :args (@t112 @t130 @t131)) % 1.86/2.05 (step @p159 :rule cnf_or_pos :args (@t133)) % 1.86/2.05 (step @p160 :rule reordering :premises (@p159) :args ((or @t113 @t111 @t132 (not @t133)))) % 1.86/2.05 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p152 @p135) :args (@t132 (@list false false false) (@list @t112 @t110 @t133))) % 1.86/2.05 (step @p162 :rule cnf_and_pos :args (@t132 1)) % 1.86/2.05 (step @p163 :rule reordering :premises (@p162) :args ((or @t114 (not @t132)))) % 1.86/2.05 (step @p164 :rule chain_m_resolution :premises (@p163 @p161) :args (@t114 @t121 (@list @t132))) % 1.86/2.05 (step @p165 :rule bool-impl-elim :args (@t26 @t25)) % 1.86/2.05 (step @p166 :rule cong :premises (@p165) :args (@t27)) % 1.86/2.05 (step @p167 :rule eq_resolve :premises (@p19 @p166)) % 1.86/2.05 (step @p168 :rule instantiate :premises (@p167) :args (@t122)) % 1.86/2.05 (step @p169 :rule cnf_or_pos :args (@t134)) % 1.86/2.05 (step @p170 :rule reordering :premises (@p169) :args ((or @t113 @t116 (not @t134)))) % 1.86/2.05 (step @p171 :rule chain_m_resolution :premises (@p170 @p158 @p168) :args (@t116 (@list false false) (@list @t112 @t134))) % 1.86/2.05 (step @p172 :rule cnf_or_pos :args (@t120)) % 1.86/2.05 (step @p173 :rule reordering :premises (@p172) :args ((or @t113 @t111 @t117 @t115 @t104 (not @t120)))) % 1.86/2.05 (step @p174 :rule chain_m_resolution :premises (@p173 @p158 @p152 @p171 @p164 @p126) :args (@t104 (@list false false false false false) (@list @t112 @t110 @t116 @t114 @t120))) % 1.86/2.05 (step @p175 :rule cnf_and_pos :args (@t104 1)) % 1.86/2.05 (step @p176 :rule reordering :premises (@p175) :args ((or @t102 (not @t104)))) % 1.86/2.05 (step @p177 :rule chain_m_resolution :premises (@p176 @p174) :args (@t102 @t121 (@list @t104))) % 1.86/2.05 (step @p178 :rule cnf_or_neg :args (@t129 3)) % 1.86/2.05 (step @p179 :rule chain_m_resolution :premises (@p178 @p145) :args ((not @t126) @t130 @t131)) % 1.86/2.06 (step @p180 :rule bool-double-not-elim :args (@t127)) % 1.86/2.06 (step @p181 :rule nary_cong :premises (@p147 @p180) :args ((or @t129 (not @t128)))) % 1.86/2.06 (step @p182 :rule cnf_or_neg :args (@t129 2)) % 1.86/2.06 (step @p183 :rule eq_resolve :premises (@p182 @p181)) % 1.86/2.06 (step @p184 :rule reordering :premises (@p183) :args ((or @t127 @t129))) % 1.86/2.06 (step @p185 :rule chain_m_resolution :premises (@p184 @p145) :args (@t127 @t130 @t131)) % 1.86/2.06 (step @p186 :rule cnf_or_pos :args (@t135)) % 1.86/2.06 (step @p187 :rule reordering :premises (@p186) :args ((or @t128 @t126 @t136))) % 1.86/2.06 (step @p188 :rule chain_m_resolution :premises (@p187 @p185 @p179) :args (@t136 (@list false true) (@list @t127 @t126))) % 1.86/2.06 (step @p189 :rule eq-symm :args (@t124 @t125)) % 1.86/2.06 (step @p190 :rule refl :args (@t128)) % 1.86/2.06 (step @p191 :rule nary_cong :premises (@p190 @p189) :args (@t137)) % 1.86/2.06 (step @p192 :rule refl :args (@t102)) % 1.86/2.06 (step @p193 :rule cong :premises (@p192 @p191) :args ((=> @t102 @t137))) % 1.86/2.06 (assume-push @p203 @t102) % 1.86/2.06 (step @p195 :rule instantiate :premises (@p177) :args ((@list @t123))) % 1.86/2.06 (step-pop @p204 :rule scope :premises (@p195)) % 1.86/2.06 (step @p196 :rule process_scope :premises (@p204) :args (@t137)) % 1.86/2.06 (step @p198 :rule eq_resolve :premises (@p196 @p193)) % 1.86/2.06 (step @p199 :rule implies_elim :premises (@p198)) % 1.86/2.06 (step @p200 false :rule chain_m_resolution :premises (@p199 @p188 @p177) :args (false (@list true false) (@list @t135 @t102))) % 1.86/2.06 ) % 1.86/2.06 % SZS output end Proof % 1.86/2.06 % cvc5 exiting %------------------------------------------------------------------------------