%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU034+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 : n023.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 0.35s 0.64s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU034+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n023.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:25:13 EDT 2026 % 0.17/0.35 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.64 % SZS status Theorem % 0.35/0.64 % SZS output start Proof % 0.35/0.64 ( % 0.35/0.64 (declare-sort $$unsorted 0) % 0.35/0.64 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.35/0.64 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.35/0.64 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.35/0.64 (declare-const tptp.function (-> $$unsorted Bool)) % 0.35/0.64 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.64 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.35/0.64 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.35/0.64 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.35/0.64 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.35/0.64 (declare-const tptp.empty_set $$unsorted) % 0.35/0.64 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.35/0.64 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.35/0.64 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.35/0.64 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.35/0.64 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.35/0.64 (define @t1 () (@var "A" $$unsorted)) % 0.35/0.64 (define @t2 () (@var "B" $$unsorted)) % 0.35/0.64 (define @t3 () (tptp.in @t1 @t2)) % 0.35/0.64 (define @t4 () (@list @t1 @t2)) % 0.35/0.64 (define @t5 () (tptp.function @t1)) % 0.35/0.64 (define @t6 () (tptp.empty @t1)) % 0.35/0.64 (define @t7 () (@list @t1)) % 0.35/0.64 (define @t8 () (tptp.relation @t1)) % 0.35/0.64 (define @t9 () (tptp.one_to_one @t1)) % 0.35/0.64 (define @t10 () (and @t8 @t5 @t9)) % 0.35/0.64 (define @t11 () (and @t8 @t6 @t5)) % 0.35/0.64 (define @t12 () (tptp.function_inverse @t1)) % 0.35/0.64 (define @t13 () (and (tptp.relation @t12) (tptp.function @t12))) % 0.35/0.64 (define @t14 () (and @t8 @t5)) % 0.35/0.64 (define @t15 () (forall @t7 (=> @t14 @t13))) % 0.35/0.64 (define @t16 () (tptp.relation_composition @t1 @t2)) % 0.35/0.64 (define @t17 () (tptp.relation @t16)) % 0.35/0.64 (define @t18 () (tptp.relation @t2)) % 0.35/0.64 (define @t19 () (tptp.identity_relation @t1)) % 0.35/0.64 (define @t20 () (tptp.relation @t19)) % 0.35/0.64 (define @t21 () (forall @t7 @t20)) % 0.35/0.64 (define @t22 () (@list @t2)) % 0.35/0.64 (define @t23 () (tptp.relation_composition @t2 @t1)) % 0.35/0.64 (define @t24 () (and @t6 @t18)) % 0.35/0.64 (define @t25 () (tptp.relation tptp.empty_set)) % 0.35/0.64 (define @t26 () (tptp.empty tptp.empty_set)) % 0.35/0.64 (define @t27 () (tptp.function @t2)) % 0.35/0.64 (define @t28 () (tptp.powerset @t1)) % 0.35/0.64 (define @t29 () (tptp.function @t19)) % 0.35/0.64 (define @t30 () (forall @t7 (and @t20 @t29))) % 0.35/0.64 (define @t31 () (tptp.relation_dom @t1)) % 0.35/0.64 (define @t32 () (tptp.empty @t31)) % 0.35/0.64 (define @t33 () (not @t6)) % 0.35/0.64 (define @t34 () (and @t33 @t8)) % 0.35/0.64 (define @t35 () (tptp.relation_rng @t1)) % 0.35/0.64 (define @t36 () (tptp.empty @t35)) % 0.35/0.64 (define @t37 () (tptp.empty @t2)) % 0.35/0.64 (define @t38 () (tptp.element @t2 @t28)) % 0.35/0.64 (define @t39 () (tptp.element @t1 @t2)) % 0.35/0.64 (define @t40 () (tptp.relation_dom @t2)) % 0.35/0.64 (define @t41 () (= @t2 (tptp.identity_relation @t40))) % 0.35/0.64 (define @t42 () (= @t35 @t40)) % 0.35/0.64 (define @t43 () (and @t42 (= @t16 @t1))) % 0.35/0.64 (define @t44 () (=> @t43 @t41)) % 0.35/0.64 (define @t45 () (and @t18 @t27)) % 0.35/0.64 (define @t46 () (=> @t45 @t44)) % 0.35/0.64 (define @t47 () (forall @t22 @t46)) % 0.35/0.64 (define @t48 () (=> @t14 @t47)) % 0.35/0.64 (define @t49 () (forall @t7 @t48)) % 0.35/0.64 (define @t50 () (@var "C" $$unsorted)) % 0.35/0.64 (define @t51 () (tptp.element @t2 (tptp.powerset @t50))) % 0.35/0.64 (define @t52 () (@list @t1 @t2 @t50)) % 0.35/0.64 (define @t53 () (and (= @t35 (tptp.relation_dom @t12)) (= @t31 (tptp.relation_rng @t12)))) % 0.35/0.64 (define @t54 () (=> @t9 @t53)) % 0.35/0.64 (define @t55 () (forall @t7 (=> @t14 @t54))) % 0.35/0.64 (define @t56 () (and (= (tptp.relation_composition @t1 @t12) (tptp.identity_relation @t31)) (= (tptp.relation_composition @t12 @t1) (tptp.identity_relation @t35)))) % 0.35/0.64 (define @t57 () (=> @t9 @t56)) % 0.35/0.64 (define @t58 () (forall @t7 (=> @t14 @t57))) % 0.35/0.64 (define @t59 () (tptp.function_inverse @t19)) % 0.35/0.64 (define @t60 () (forall @t7 (= @t59 @t19))) % 0.35/0.64 (define @t61 () (not @t60)) % 0.35/0.64 (define @t62 () (tptp.relation_rng @t19)) % 0.35/0.64 (define @t63 () (tptp.relation_dom @t19)) % 0.35/0.64 (define @t64 () (and (= @t63 @t1) (= @t62 @t1))) % 0.35/0.64 (define @t65 () (forall @t7 @t64)) % 0.35/0.64 (define @t66 () (@quantifiers_skolemize (forall @t7 (= @t19 @t59)) 0)) % 0.35/0.64 (define @t67 () (@list @t66)) % 0.35/0.64 (define @t68 () (forall @t7 @t29)) % 0.35/0.64 (define @t69 () (@list @t1)) % 0.35/0.64 (define @t70 () (and @t21 @t68)) % 0.35/0.64 (define @t71 () (not @t5)) % 0.35/0.64 (define @t72 () (not @t8)) % 0.35/0.64 (define @t73 () (or @t72 @t71)) % 0.35/0.64 (define @t74 () (not @t14)) % 0.35/0.64 (define @t75 () (tptp.identity_relation @t66)) % 0.35/0.64 (define @t76 () (@list @t75)) % 0.35/0.64 (define @t77 () (tptp.function_inverse @t75)) % 0.35/0.64 (define @t78 () (tptp.function @t77)) % 0.35/0.64 (define @t79 () (tptp.relation @t77)) % 0.35/0.64 (define @t80 () (and @t79 @t78)) % 0.35/0.64 (define @t81 () (tptp.function @t75)) % 0.35/0.64 (define @t82 () (not @t81)) % 0.35/0.64 (define @t83 () (tptp.relation @t75)) % 0.35/0.64 (define @t84 () (not @t83)) % 0.35/0.64 (define @t85 () (or @t84 @t82 @t80)) % 0.35/0.64 (define @t86 () (not @t80)) % 0.35/0.64 (define @t87 () (@list false)) % 0.35/0.64 (define @t88 () (@list @t80)) % 0.35/0.64 (define @t89 () (not @t9)) % 0.35/0.64 (define @t90 () (tptp.relation_dom @t75)) % 0.35/0.64 (define @t91 () (tptp.relation_dom @t77)) % 0.35/0.64 (define @t92 () (tptp.relation_rng @t75)) % 0.35/0.64 (define @t93 () (= @t92 @t91)) % 0.35/0.64 (define @t94 () (and @t93 (= @t90 (tptp.relation_rng @t77)))) % 0.35/0.64 (define @t95 () (tptp.one_to_one @t75)) % 0.35/0.64 (define @t96 () (not @t95)) % 0.35/0.64 (define @t97 () (or @t84 @t82 @t96 @t94)) % 0.35/0.64 (define @t98 () (@list false false false false)) % 0.35/0.64 (define @t99 () (@var "BOUND_VARIABLE_7784" $$unsorted)) % 0.35/0.64 (define @t100 () (tptp.relation_dom @t99)) % 0.35/0.64 (define @t101 () (= @t99 (tptp.identity_relation @t100))) % 0.35/0.64 (define @t102 () (not (= @t1 (tptp.relation_composition @t1 @t99)))) % 0.35/0.64 (define @t103 () (not (= @t35 @t100))) % 0.35/0.64 (define @t104 () (not (tptp.function @t99))) % 0.35/0.64 (define @t105 () (not (tptp.relation @t99))) % 0.35/0.64 (define @t106 () (or @t105 @t104 @t103 @t102 @t101)) % 0.35/0.64 (define @t107 () (or @t72 @t71 @t106)) % 0.35/0.64 (define @t108 () (forall (@list @t1 @t99) @t107)) % 0.35/0.64 (define @t109 () (@list @t99)) % 0.35/0.64 (define @t110 () (forall @t109 @t107)) % 0.35/0.64 (define @t111 () (forall @t109 @t106)) % 0.35/0.64 (define @t112 () (or @t72 @t71 @t111)) % 0.35/0.64 (define @t113 () (= @t1 @t16)) % 0.35/0.64 (define @t114 () (not @t113)) % 0.35/0.64 (define @t115 () (not @t42)) % 0.35/0.64 (define @t116 () (not @t27)) % 0.35/0.64 (define @t117 () (not @t18)) % 0.35/0.64 (define @t118 () (or @t117 @t116 @t115 @t114 @t41)) % 0.35/0.64 (define @t119 () (forall @t22 @t118)) % 0.35/0.64 (define @t120 () (or @t72 @t71 @t119)) % 0.35/0.64 (define @t121 () (or @t115 @t114 @t41)) % 0.35/0.64 (define @t122 () (and @t42 @t113)) % 0.35/0.64 (define @t123 () (=> @t122 @t41)) % 0.35/0.64 (define @t124 () (tptp.identity_relation @t91)) % 0.35/0.64 (define @t125 () (= @t77 @t124)) % 0.35/0.64 (define @t126 () (= @t124 @t77)) % 0.35/0.64 (define @t127 () (= @t1 @t62)) % 0.35/0.64 (define @t128 () (forall @t7 @t127)) % 0.35/0.64 (define @t129 () (= @t1 @t63)) % 0.35/0.64 (define @t130 () (forall @t7 @t129)) % 0.35/0.64 (define @t131 () (and @t130 @t128)) % 0.35/0.64 (define @t132 () (tptp.relation_composition @t75 @t77)) % 0.35/0.64 (define @t133 () (= @t132 (tptp.identity_relation @t90))) % 0.35/0.64 (define @t134 () (and @t133 (= (tptp.relation_composition @t77 @t75) (tptp.identity_relation @t92)))) % 0.35/0.64 (define @t135 () (or @t84 @t82 @t96 @t134)) % 0.35/0.64 (define @t136 () (= @t75 @t132)) % 0.35/0.64 (define @t137 () (not @t136)) % 0.35/0.64 (define @t138 () (not @t93)) % 0.35/0.64 (define @t139 () (not @t78)) % 0.35/0.64 (define @t140 () (not @t79)) % 0.35/0.64 (define @t141 () (or @t84 @t82 @t140 @t139 @t138 @t137 @t125)) % 0.35/0.64 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.35/0.64 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.35/0.64 (assume @p3 (forall @t7 (=> @t6 @t8))) % 0.35/0.64 (assume @p4 (forall @t7 (=> @t11 @t10))) % 0.35/0.64 (assume @p5 @t15) % 0.35/0.64 (assume @p6 (forall @t4 (=> (and @t8 @t18) @t17))) % 0.35/0.64 (assume @p7 @t21) % 0.35/0.64 (assume @p8 (forall @t7 (exists @t22 (tptp.element @t2 @t1)))) % 0.35/0.64 (assume @p9 (forall @t4 (=> @t24 (and (tptp.empty @t23) (tptp.relation @t23))))) % 0.35/0.64 (assume @p10 (and @t26 @t25 (tptp.relation_empty_yielding tptp.empty_set))) % 0.35/0.64 (assume @p11 (forall @t4 (=> (and @t8 @t5 @t18 @t27) (and @t17 (tptp.function @t16))))) % 0.35/0.64 (assume @p12 (forall @t7 (not (tptp.empty @t28)))) % 0.35/0.64 (assume @p13 @t26) % 0.35/0.64 (assume @p14 @t30) % 0.35/0.64 (assume @p15 (and @t26 @t25)) % 0.35/0.64 (assume @p16 (forall @t7 (=> @t34 (not @t32)))) % 0.35/0.64 (assume @p17 (forall @t7 (=> @t34 (not @t36)))) % 0.35/0.64 (assume @p18 (forall @t7 (=> @t6 (and @t32 (tptp.relation @t31))))) % 0.35/0.64 (assume @p19 (forall @t7 (=> @t6 (and @t36 (tptp.relation @t35))))) % 0.35/0.64 (assume @p20 (forall @t4 (=> @t24 (and (tptp.empty @t16) @t17)))) % 0.35/0.64 (assume @p21 (exists @t7 @t14)) % 0.35/0.64 (assume @p22 (exists @t7 (and @t6 @t8))) % 0.35/0.64 (assume @p23 (forall @t7 (=> @t33 (exists @t22 (and @t38 (not @t37)))))) % 0.35/0.64 (assume @p24 (exists @t7 @t6)) % 0.35/0.64 (assume @p25 (exists @t7 @t11)) % 0.35/0.64 (assume @p26 (exists @t7 @t34)) % 0.35/0.64 (assume @p27 (forall @t7 (exists @t22 (and @t38 @t37)))) % 0.35/0.64 (assume @p28 (exists @t7 @t33)) % 0.35/0.64 (assume @p29 (exists @t7 @t10)) % 0.35/0.64 (assume @p30 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 0.35/0.64 (assume @p31 (forall @t4 (tptp.subset @t1 @t1))) % 0.35/0.64 (assume @p32 (forall @t4 (=> @t3 @t39))) % 0.35/0.64 (assume @p33 (forall @t4 (=> @t39 (or @t37 @t3)))) % 0.35/0.64 (assume @p34 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.35/0.64 (assume @p35 @t49) % 0.35/0.64 (assume @p36 (forall @t52 (=> (and @t3 @t51) (tptp.element @t1 @t50)))) % 0.35/0.64 (assume @p37 (forall @t7 (tptp.one_to_one @t19))) % 0.35/0.64 (assume @p38 @t55) % 0.35/0.64 (assume @p39 (forall @t52 (not (and @t3 @t51 (tptp.empty @t50))))) % 0.35/0.64 (assume @p40 @t58) % 0.35/0.64 (assume @p41 @t61) % 0.35/0.64 (assume @p42 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.35/0.64 (assume @p43 @t65) % 0.35/0.64 (assume @p44 (forall @t4 (not (and @t3 @t37)))) % 0.35/0.64 (assume @p45 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t37)))) % 0.35/0.64 (assume @p46 true) % 0.35/0.64 (step @p47 :rule instantiate :premises (@p7) :args (@t67)) % 0.35/0.64 (step @p48 :rule alpha_equiv :args (@t68 @t69 (@list (@var "BOUND_VARIABLE_7665" $$unsorted)))) % 0.35/0.64 (step @p49 :rule alpha_equiv :args (@t21 @t69 (@list (@var "BOUND_VARIABLE_7659" $$unsorted)))) % 0.35/0.64 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t70)) % 0.35/0.64 (step @p51 :rule quant-miniscope-and :args ((= @t30 @t70))) % 0.35/0.64 (step @p52 :rule trans :premises (@p51 @p50)) % 0.35/0.64 (step @p53 :rule eq_resolve :premises (@p14 @p52)) % 0.35/0.64 (step @p54 :rule and_elim :premises (@p53) :args (1)) % 0.35/0.64 (step @p55 :rule instantiate :premises (@p54) :args (@t67)) % 0.35/0.64 (step @p56 :rule aci_norm :args ((= (or @t73 @t13) (or @t72 @t71 @t13)))) % 0.35/0.64 (step @p57 :rule refl :args (@t13)) % 0.35/0.64 (step @p58 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 0.35/0.64 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t74 @t13))) % 0.35/0.64 (step @p60 :rule trans :premises (@p59 @p56)) % 0.35/0.64 (step @p61 :rule bool-impl-elim :args (@t14 @t13)) % 0.35/0.64 (step @p62 :rule trans :premises (@p61 @p60)) % 0.35/0.64 (step @p63 :rule cong :premises (@p62) :args (@t15)) % 0.35/0.64 (step @p64 :rule eq_resolve :premises (@p5 @p63)) % 0.35/0.64 (step @p65 :rule instantiate :premises (@p64) :args (@t76)) % 0.35/0.64 (step @p66 :rule cnf_or_pos :args (@t85)) % 0.35/0.64 (step @p67 :rule reordering :premises (@p66) :args ((or @t84 @t82 @t80 (not @t85)))) % 0.35/0.64 (step @p68 :rule chain_m_resolution :premises (@p67 @p47 @p55 @p65) :args (@t80 (@list false false false) (@list @t83 @t81 @t85))) % 0.35/0.64 (step @p69 :rule cnf_and_pos :args (@t80 0)) % 0.35/0.64 (step @p70 :rule reordering :premises (@p69) :args ((or @t79 @t86))) % 0.35/0.64 (step @p71 :rule chain_m_resolution :premises (@p70 @p68) :args (@t79 @t87 @t88)) % 0.35/0.64 (step @p72 :rule cnf_and_pos :args (@t80 1)) % 0.35/0.64 (step @p73 :rule reordering :premises (@p72) :args ((or @t78 @t86))) % 0.35/0.64 (step @p74 :rule chain_m_resolution :premises (@p73 @p68) :args (@t78 @t87 @t88)) % 0.35/0.64 (step @p75 :rule aci_norm :args ((= (or @t73 (or @t89 @t53)) (or @t72 @t71 @t89 @t53)))) % 0.35/0.64 (step @p76 :rule bool-impl-elim :args (@t9 @t53)) % 0.35/0.64 (step @p77 :rule nary_cong :premises (@p58 @p76) :args ((or @t74 @t54))) % 0.35/0.64 (step @p78 :rule trans :premises (@p77 @p75)) % 0.35/0.64 (step @p79 :rule bool-impl-elim :args (@t14 @t54)) % 0.35/0.64 (step @p80 :rule trans :premises (@p79 @p78)) % 0.35/0.64 (step @p81 :rule cong :premises (@p80) :args (@t55)) % 0.35/0.64 (step @p82 :rule eq_resolve :premises (@p38 @p81)) % 0.35/0.64 (step @p83 :rule instantiate :premises (@p82) :args (@t76)) % 0.35/0.64 (step @p84 :rule instantiate :premises (@p37) :args (@t67)) % 0.35/0.64 (step @p85 :rule cnf_or_pos :args (@t97)) % 0.35/0.64 (step @p86 :rule reordering :premises (@p85) :args ((or @t84 @t82 @t96 @t94 (not @t97)))) % 0.35/0.64 (step @p87 :rule chain_m_resolution :premises (@p86 @p47 @p55 @p84 @p83) :args (@t94 @t98 (@list @t83 @t81 @t95 @t97))) % 0.35/0.64 (step @p88 :rule cnf_and_pos :args (@t94 0)) % 0.35/0.64 (step @p89 :rule reordering :premises (@p88) :args ((or @t93 (not @t94)))) % 0.35/0.64 (step @p90 :rule chain_m_resolution :premises (@p89 @p87) :args (@t93 @t87 (@list @t94))) % 0.35/0.64 (step @p91 :rule aci_norm :args ((= @t107 (or @t72 @t71 @t105 @t104 @t103 @t102 @t101)))) % 0.35/0.64 (step @p92 :rule cong :premises (@p91) :args (@t108)) % 0.35/0.64 (step @p93 :rule quant-merge-prenex :args ((= (forall @t7 @t110) @t108))) % 0.35/0.64 (step @p94 :rule alpha_equiv :args (@t111 (@list @t99) (@list @t2))) % 0.35/0.64 (step @p95 :rule refl :args (@t71)) % 0.35/0.64 (step @p96 :rule refl :args (@t72)) % 0.35/0.64 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94) :args (@t112)) % 0.35/0.64 (step @p98 :rule quant-miniscope-or :args ((= @t110 @t112))) % 0.35/0.64 (step @p99 :rule trans :premises (@p98 @p97)) % 0.35/0.64 (step @p100 :rule symm :premises (@p99)) % 0.35/0.64 (step @p101 :rule cong :premises (@p100) :args ((forall @t7 @t120))) % 0.35/0.64 (step @p102 :rule trans :premises (@p101 @p93)) % 0.35/0.64 (step @p103 :rule trans :premises (@p102 @p92)) % 0.35/0.64 (step @p104 :rule aci_norm :args ((= (or @t73 @t119) @t120))) % 0.35/0.64 (step @p105 :rule refl :args (@t119)) % 0.35/0.64 (step @p106 :rule nary_cong :premises (@p58 @p105) :args ((or @t74 @t119))) % 0.35/0.64 (step @p107 :rule trans :premises (@p106 @p104)) % 0.35/0.64 (step @p108 :rule bool-impl-elim :args (@t14 @t119)) % 0.35/0.64 (step @p109 :rule trans :premises (@p108 @p107)) % 0.35/0.64 (step @p110 :rule cong :premises (@p109) :args ((forall @t7 (=> @t14 @t119)))) % 0.35/0.64 (step @p111 :rule trans :premises (@p110 @p103)) % 0.35/0.64 (step @p112 :rule aci_norm :args ((= (or (or @t117 @t116) @t121) @t118))) % 0.35/0.64 (step @p113 :rule aci_norm :args ((= (or (or @t115 @t114) @t41) @t121))) % 0.35/0.64 (step @p114 :rule refl :args (@t41)) % 0.35/0.64 (step @p115 :rule bool-and-de-morgan :args (@t42 @t113 true)) % 0.35/0.64 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or (not @t122) @t41))) % 0.35/0.64 (step @p117 :rule trans :premises (@p116 @p113)) % 0.35/0.64 (step @p118 :rule bool-impl-elim :args (@t122 @t41)) % 0.35/0.64 (step @p119 :rule trans :premises (@p118 @p117)) % 0.35/0.64 (step @p120 :rule bool-and-de-morgan :args (@t18 @t27 true)) % 0.35/0.64 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or (not @t45) @t123))) % 0.35/0.64 (step @p122 :rule trans :premises (@p121 @p112)) % 0.35/0.64 (step @p123 :rule bool-impl-elim :args (@t45 @t123)) % 0.35/0.64 (step @p124 :rule trans :premises (@p123 @p122)) % 0.35/0.64 (step @p125 :rule cong :premises (@p124) :args ((forall @t22 (=> @t45 @t123)))) % 0.35/0.64 (step @p126 :rule refl :args (@t41)) % 0.35/0.64 (step @p127 :rule eq-symm :args (@t16 @t1)) % 0.35/0.64 (step @p128 :rule refl :args (@t42)) % 0.35/0.64 (step @p129 :rule nary_cong :premises (@p128 @p127) :args (@t43)) % 0.35/0.64 (step @p130 :rule cong :premises (@p129 @p126) :args (@t44)) % 0.35/0.64 (step @p131 :rule refl :args (@t45)) % 0.35/0.64 (step @p132 :rule cong :premises (@p131 @p130) :args (@t46)) % 0.35/0.64 (step @p133 :rule cong :premises (@p132) :args (@t47)) % 0.35/0.64 (step @p134 :rule trans :premises (@p133 @p125)) % 0.35/0.64 (step @p135 :rule refl :args (@t14)) % 0.35/0.64 (step @p136 :rule cong :premises (@p135 @p134) :args (@t48)) % 0.35/0.64 (step @p137 :rule cong :premises (@p136) :args (@t49)) % 0.35/0.64 (step @p138 :rule trans :premises (@p137 @p111)) % 0.35/0.64 (step @p139 :rule eq_resolve :premises (@p35 @p138)) % 0.35/0.64 (step @p140 :rule instantiate :premises (@p139) :args ((@list @t75 @t77))) % 0.35/0.64 (step @p141 :rule bool-eq-false :args (@t125)) % 0.35/0.64 (step @p142 :rule symm :premises (@p141)) % 0.35/0.64 (step @p143 :rule eq-symm :args (@t124 @t77)) % 0.35/0.64 (step @p144 :rule cong :premises (@p143) :args ((not @t126))) % 0.35/0.64 (step @p145 :rule bool-eq-false :args (@t126)) % 0.35/0.64 (step @p146 :rule trans :premises (@p145 @p144)) % 0.35/0.64 (step @p147 :rule trans :premises (@p146 @p142)) % 0.35/0.64 (step @p148 :rule eq-symm :args (@t59 @t19)) % 0.35/0.64 (step @p149 :rule cong :premises (@p148) :args (@t60)) % 0.35/0.64 (step @p150 :rule cong :premises (@p149) :args (@t61)) % 0.35/0.64 (step @p151 :rule eq_resolve :premises (@p41 @p150)) % 0.35/0.64 (step @p152 :rule skolemize :premises (@p151)) % 0.35/0.64 (step @p153 :rule false_intro :premises (@p152)) % 0.35/0.64 (step @p154 :rule refl :args (@t77)) % 0.35/0.64 (step @p155 :rule alpha_equiv :args (@t128 @t69 (@list (@var "BOUND_VARIABLE_7841" $$unsorted)))) % 0.35/0.64 (step @p156 :rule alpha_equiv :args (@t130 @t69 (@list (@var "BOUND_VARIABLE_7834" $$unsorted)))) % 0.35/0.64 (step @p157 :rule nary_cong :premises (@p156 @p155) :args (@t131)) % 0.35/0.64 (step @p158 :rule quant-miniscope-and :args ((= (forall @t7 (and @t129 @t127)) @t131))) % 0.35/0.64 (step @p159 :rule trans :premises (@p158 @p157)) % 0.35/0.64 (step @p160 :rule eq-symm :args (@t62 @t1)) % 0.35/0.64 (step @p161 :rule eq-symm :args (@t63 @t1)) % 0.35/0.64 (step @p162 :rule nary_cong :premises (@p161 @p160) :args (@t64)) % 0.35/0.64 (step @p163 :rule cong :premises (@p162) :args (@t65)) % 0.35/0.64 (step @p164 :rule trans :premises (@p163 @p159)) % 0.35/0.64 (step @p165 :rule eq_resolve :premises (@p43 @p164)) % 0.35/0.64 (step @p166 :rule and_elim :premises (@p165) :args (1)) % 0.35/0.64 (step @p167 :rule instantiate :premises (@p166) :args (@t67)) % 0.35/0.64 (step @p168 :rule symm :premises (@p167)) % 0.35/0.64 (step @p169 :rule symm :premises (@p90)) % 0.35/0.64 (step @p170 :rule trans :premises (@p169 @p168)) % 0.35/0.64 (step @p171 :rule cong :premises (@p170) :args (@t124)) % 0.35/0.64 (step @p172 :rule cong :premises (@p171 @p154) :args (@t126)) % 0.35/0.64 (step @p173 :rule trans :premises (@p172 @p153)) % 0.35/0.64 (step @p174 :rule eq_resolve :premises (@p173 @p147)) % 0.35/0.64 (step @p175 :rule false_elim :premises (@p174)) % 0.35/0.64 (step @p176 :rule aci_norm :args ((= (or @t73 (or @t89 @t56)) (or @t72 @t71 @t89 @t56)))) % 0.35/0.64 (step @p177 :rule bool-impl-elim :args (@t9 @t56)) % 0.35/0.64 (step @p178 :rule nary_cong :premises (@p58 @p177) :args ((or @t74 @t57))) % 0.35/0.64 (step @p179 :rule trans :premises (@p178 @p176)) % 0.35/0.64 (step @p180 :rule bool-impl-elim :args (@t14 @t57)) % 0.35/0.64 (step @p181 :rule trans :premises (@p180 @p179)) % 0.35/0.64 (step @p182 :rule cong :premises (@p181) :args (@t58)) % 0.35/0.64 (step @p183 :rule eq_resolve :premises (@p40 @p182)) % 0.35/0.64 (step @p184 :rule instantiate :premises (@p183) :args (@t76)) % 0.35/0.64 (step @p185 :rule cnf_or_pos :args (@t135)) % 0.35/0.64 (step @p186 :rule reordering :premises (@p185) :args ((or @t84 @t82 @t96 @t134 (not @t135)))) % 0.35/0.64 (step @p187 :rule chain_m_resolution :premises (@p186 @p47 @p55 @p84 @p184) :args (@t134 @t98 (@list @t83 @t81 @t95 @t135))) % 0.35/0.64 (step @p188 :rule cnf_and_pos :args (@t134 0)) % 0.35/0.64 (step @p189 :rule reordering :premises (@p188) :args ((or @t133 (not @t134)))) % 0.35/0.64 (step @p190 :rule chain_m_resolution :premises (@p189 @p187) :args (@t133 @t87 (@list @t134))) % 0.35/0.64 (step @p191 :rule symm :premises (@p190)) % 0.35/0.64 (step @p192 :rule and_elim :premises (@p165) :args (0)) % 0.35/0.64 (step @p193 :rule instantiate :premises (@p192) :args (@t67)) % 0.35/0.64 (step @p194 :rule cong :premises (@p193) :args (@t75)) % 0.35/0.64 (step @p195 :rule trans :premises (@p194 @p191)) % 0.35/0.64 (step @p196 :rule cnf_or_pos :args (@t141)) % 0.35/0.64 (step @p197 :rule reordering :premises (@p196) :args ((or @t84 @t82 @t140 @t139 @t138 @t137 @t125 (not @t141)))) % 0.35/0.64 (step @p198 false :rule chain_m_resolution :premises (@p197 @p195 @p175 @p140 @p90 @p74 @p71 @p55 @p47) :args (false (@list false true false false false false false false) (@list @t136 @t125 @t141 @t93 @t78 @t79 @t81 @t83))) % 0.35/0.64 ) % 0.35/0.64 % SZS output end Proof % 0.35/0.64 % cvc5 exiting %------------------------------------------------------------------------------