%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU044+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 : n003.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 1.61s 1.80s % Output : Proof 1.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU044+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 : n003.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 16:24:14 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 1.61/1.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.61/1.80 % SZS status Theorem % 1.61/1.80 % SZS output start Proof % 1.61/1.80 ( % 1.61/1.80 (declare-sort $$unsorted 0) % 1.61/1.80 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 1.61/1.80 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.61/1.80 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 1.61/1.80 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 1.61/1.80 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 1.61/1.80 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.61/1.80 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 1.61/1.80 (declare-const tptp.empty (-> $$unsorted Bool)) % 1.61/1.80 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.61/1.80 (declare-const tptp.function (-> $$unsorted Bool)) % 1.61/1.80 (declare-const tptp.relation (-> $$unsorted Bool)) % 1.61/1.80 (declare-const tptp.empty_set $$unsorted) % 1.61/1.80 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.61/1.80 (define @t1 () (@var "A" $$unsorted)) % 1.61/1.80 (define @t2 () (@var "B" $$unsorted)) % 1.61/1.80 (define @t3 () (@list @t1 @t2)) % 1.61/1.81 (define @t4 () (tptp.relation tptp.empty_set)) % 1.61/1.81 (define @t5 () (tptp.empty tptp.empty_set)) % 1.61/1.81 (define @t6 () (@list @t2)) % 1.61/1.81 (define @t7 () (@list @t1)) % 1.61/1.81 (define @t8 () (tptp.function @t1)) % 1.61/1.81 (define @t9 () (tptp.empty @t1)) % 1.61/1.81 (define @t10 () (tptp.relation @t1)) % 1.61/1.81 (define @t11 () (and @t10 @t8 (tptp.one_to_one @t1))) % 1.61/1.81 (define @t12 () (and @t10 @t9 @t8)) % 1.61/1.81 (define @t13 () (tptp.powerset @t1)) % 1.61/1.81 (define @t14 () (tptp.relation_dom @t1)) % 1.61/1.81 (define @t15 () (tptp.empty @t14)) % 1.61/1.81 (define @t16 () (not @t9)) % 1.61/1.81 (define @t17 () (and @t16 @t10)) % 1.61/1.81 (define @t18 () (tptp.in @t1 @t2)) % 1.61/1.81 (define @t19 () (tptp.empty @t2)) % 1.61/1.81 (define @t20 () (tptp.element @t1 @t2)) % 1.61/1.81 (define @t21 () (@var "C" $$unsorted)) % 1.61/1.81 (define @t22 () (tptp.element @t2 (tptp.powerset @t21))) % 1.61/1.81 (define @t23 () (@list @t1 @t2 @t21)) % 1.61/1.81 (define @t24 () (tptp.relation_rng_restriction @t1 @t2)) % 1.61/1.81 (define @t25 () (tptp.relation @t24)) % 1.61/1.81 (define @t26 () (tptp.relation @t2)) % 1.61/1.81 (define @t27 () (forall @t3 (=> @t26 @t25))) % 1.61/1.81 (define @t28 () (and @t25 (tptp.function @t24))) % 1.61/1.81 (define @t29 () (tptp.function @t2)) % 1.61/1.81 (define @t30 () (and @t26 @t29)) % 1.61/1.81 (define @t31 () (forall @t3 (=> @t30 @t28))) % 1.61/1.81 (define @t32 () (tptp.element @t2 @t13)) % 1.61/1.81 (define @t33 () (tptp.relation_dom @t21)) % 1.61/1.81 (define @t34 () (tptp.relation_rng_restriction @t1 @t21)) % 1.61/1.81 (define @t35 () (= (tptp.in @t2 (tptp.relation_dom @t34)) (and (tptp.in @t2 @t33) (tptp.in (tptp.apply @t21 @t2) @t1)))) % 1.61/1.81 (define @t36 () (tptp.function @t21)) % 1.61/1.81 (define @t37 () (tptp.relation @t21)) % 1.61/1.81 (define @t38 () (and @t37 @t36)) % 1.61/1.81 (define @t39 () (forall @t23 (=> @t38 @t35))) % 1.61/1.81 (define @t40 () (not @t39)) % 1.61/1.81 (define @t41 () (@var "D" $$unsorted)) % 1.61/1.81 (define @t42 () (tptp.apply @t21 @t41)) % 1.61/1.81 (define @t43 () (tptp.apply @t2 @t41)) % 1.61/1.81 (define @t44 () (tptp.in @t41 (tptp.relation_dom @t2))) % 1.61/1.81 (define @t45 () (=> @t44 (= @t43 @t42))) % 1.61/1.81 (define @t46 () (@list @t41)) % 1.61/1.81 (define @t47 () (forall @t46 @t45)) % 1.61/1.81 (define @t48 () (forall @t46 (= @t44 (and (tptp.in @t41 @t33) (tptp.in @t42 @t1))))) % 1.61/1.81 (define @t49 () (and @t48 @t47)) % 1.61/1.81 (define @t50 () (= @t2 @t34)) % 1.61/1.81 (define @t51 () (= @t50 @t49)) % 1.61/1.81 (define @t52 () (=> @t38 @t51)) % 1.61/1.81 (define @t53 () (@list @t21)) % 1.61/1.81 (define @t54 () (forall @t53 @t52)) % 1.61/1.81 (define @t55 () (=> @t30 @t54)) % 1.61/1.81 (define @t56 () (forall @t3 @t55)) % 1.61/1.81 (define @t57 () (not @t36)) % 1.61/1.81 (define @t58 () (not @t37)) % 1.61/1.81 (define @t59 () (or @t58 @t57 @t35)) % 1.61/1.81 (define @t60 () (or @t58 @t57)) % 1.61/1.81 (define @t61 () (not @t38)) % 1.61/1.81 (define @t62 () (forall @t23 @t59)) % 1.61/1.81 (define @t63 () (@quantifiers_skolemize @t62 0)) % 1.61/1.81 (define @t64 () (@quantifiers_skolemize @t62 1)) % 1.61/1.81 (define @t65 () (@quantifiers_skolemize @t62 2)) % 1.61/1.81 (define @t66 () (tptp.relation_dom @t65)) % 1.61/1.81 (define @t67 () (and (tptp.in @t64 @t66) (tptp.in (tptp.apply @t65 @t64) @t63))) % 1.61/1.81 (define @t68 () (tptp.relation_rng_restriction @t63 @t65)) % 1.61/1.81 (define @t69 () (tptp.relation_dom @t68)) % 1.61/1.81 (define @t70 () (tptp.in @t64 @t69)) % 1.61/1.81 (define @t71 () (= @t70 @t67)) % 1.61/1.81 (define @t72 () (tptp.function @t65)) % 1.61/1.81 (define @t73 () (not @t72)) % 1.61/1.81 (define @t74 () (tptp.relation @t65)) % 1.61/1.81 (define @t75 () (not @t74)) % 1.61/1.81 (define @t76 () (or @t75 @t73 @t71)) % 1.61/1.81 (define @t77 () (@list true)) % 1.61/1.81 (define @t78 () (@list @t76)) % 1.61/1.81 (define @t79 () (@var "BOUND_VARIABLE_7736" $$unsorted)) % 1.61/1.81 (define @t80 () (tptp.apply @t79 @t41)) % 1.61/1.81 (define @t81 () (not @t44)) % 1.61/1.81 (define @t82 () (or @t81 (= @t80 @t43))) % 1.61/1.81 (define @t83 () (forall @t46 @t82)) % 1.61/1.81 (define @t84 () (forall @t46 (= @t44 (and (tptp.in @t41 (tptp.relation_dom @t79)) (tptp.in @t80 @t1))))) % 1.61/1.81 (define @t85 () (and @t84 @t83)) % 1.61/1.81 (define @t86 () (= @t2 (tptp.relation_rng_restriction @t1 @t79))) % 1.61/1.81 (define @t87 () (= @t86 @t85)) % 1.61/1.81 (define @t88 () (not (tptp.function @t79))) % 1.61/1.81 (define @t89 () (not (tptp.relation @t79))) % 1.61/1.81 (define @t90 () (not @t29)) % 1.61/1.81 (define @t91 () (not @t26)) % 1.61/1.81 (define @t92 () (or @t91 @t90 @t89 @t88 @t87)) % 1.61/1.81 (define @t93 () (or @t89 @t88 @t87)) % 1.61/1.81 (define @t94 () (or @t91 @t90 @t93)) % 1.61/1.81 (define @t95 () (@list @t1 @t2 @t79)) % 1.61/1.81 (define @t96 () (forall @t95 @t94)) % 1.61/1.81 (define @t97 () (@list @t79)) % 1.61/1.81 (define @t98 () (forall @t97 @t94)) % 1.61/1.81 (define @t99 () (forall @t97 @t93)) % 1.61/1.81 (define @t100 () (or @t91 @t90 @t99)) % 1.61/1.81 (define @t101 () (= @t42 @t43)) % 1.61/1.81 (define @t102 () (= @t50 (and @t48 (forall @t46 (or @t81 @t101))))) % 1.61/1.81 (define @t103 () (or @t58 @t57 @t102)) % 1.61/1.81 (define @t104 () (forall @t53 @t103)) % 1.61/1.81 (define @t105 () (or @t91 @t90 @t104)) % 1.61/1.81 (define @t106 () (or @t91 @t90)) % 1.61/1.81 (define @t107 () (not @t30)) % 1.61/1.81 (define @t108 () (tptp.apply @t68 @t41)) % 1.61/1.81 (define @t109 () (tptp.apply @t65 @t41)) % 1.61/1.81 (define @t110 () (tptp.in @t41 @t69)) % 1.61/1.81 (define @t111 () (not @t110)) % 1.61/1.81 (define @t112 () (and (tptp.in @t41 @t66) (tptp.in @t109 @t63))) % 1.61/1.81 (define @t113 () (forall @t46 (= @t112 @t110))) % 1.61/1.81 (define @t114 () (and @t113 (forall @t46 (or @t111 (= @t109 @t108))))) % 1.61/1.81 (define @t115 () (or @t111 (= @t108 @t109))) % 1.61/1.81 (define @t116 () (forall @t46 @t115)) % 1.61/1.81 (define @t117 () (forall @t46 (= @t110 @t112))) % 1.61/1.81 (define @t118 () (and @t117 @t116)) % 1.61/1.81 (define @t119 () (= (= @t68 @t68) @t118)) % 1.61/1.81 (define @t120 () (tptp.function @t68)) % 1.61/1.81 (define @t121 () (not @t120)) % 1.61/1.81 (define @t122 () (tptp.relation @t68)) % 1.61/1.81 (define @t123 () (not @t122)) % 1.61/1.81 (define @t124 () (or @t123 @t121 @t75 @t73 @t119)) % 1.61/1.81 (define @t125 () (forall @t95 (or @t91 @t90 @t89 @t88 (= @t86 (and @t84 (forall @t46 (or @t81 (= @t43 @t80)))))))) % 1.61/1.81 (define @t126 () (or @t123 @t121 @t75 @t73 @t114)) % 1.61/1.81 (define @t127 () (@list false)) % 1.61/1.81 (define @t128 () (@list @t63 @t65)) % 1.61/1.81 (define @t129 () (and @t122 @t120)) % 1.61/1.81 (define @t130 () (or @t75 @t73 @t129)) % 1.61/1.81 (define @t131 () (or @t75 @t122)) % 1.61/1.81 (define @t132 () (= @t67 @t70)) % 1.61/1.81 (assume @p1 (forall @t3 (tptp.subset @t1 @t1))) % 1.61/1.81 (assume @p2 (and @t5 @t4)) % 1.61/1.81 (assume @p3 (and @t5 @t4 (tptp.relation_empty_yielding tptp.empty_set))) % 1.61/1.81 (assume @p4 @t5) % 1.61/1.81 (assume @p5 (forall @t7 (exists @t6 (tptp.element @t2 @t1)))) % 1.61/1.81 (assume @p6 (forall @t7 (=> @t9 @t8))) % 1.61/1.81 (assume @p7 (forall @t7 (=> @t12 @t11))) % 1.61/1.81 (assume @p8 (forall @t7 (not (tptp.empty @t13)))) % 1.61/1.81 (assume @p9 (forall @t7 (=> @t17 (not @t15)))) % 1.61/1.81 (assume @p10 (forall @t7 (=> @t9 (and @t15 (tptp.relation @t14))))) % 1.61/1.81 (assume @p11 (forall @t7 (=> @t9 @t10))) % 1.61/1.81 (assume @p12 (forall @t3 (=> @t20 (or @t19 @t18)))) % 1.61/1.81 (assume @p13 (forall @t3 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 1.61/1.81 (assume @p14 (forall @t23 (=> (and @t18 @t22) (tptp.element @t1 @t21)))) % 1.61/1.81 (assume @p15 (forall @t23 (not (and @t18 @t22 (tptp.empty @t21))))) % 1.61/1.81 (assume @p16 (forall @t7 (=> @t9 (= @t1 tptp.empty_set)))) % 1.61/1.81 (assume @p17 (forall @t3 (not (and @t9 (not (= @t1 @t2)) @t19)))) % 1.61/1.81 (assume @p18 (forall @t3 (=> @t18 (not (tptp.in @t2 @t1))))) % 1.61/1.81 (assume @p19 @t27) % 1.61/1.81 (assume @p20 @t31) % 1.61/1.81 (assume @p21 (exists @t7 (and @t10 @t8))) % 1.61/1.81 (assume @p22 (exists @t7 @t12)) % 1.61/1.81 (assume @p23 (exists @t7 @t11)) % 1.61/1.81 (assume @p24 (forall @t7 (=> @t16 (exists @t6 (and @t32 (not @t19)))))) % 1.61/1.81 (assume @p25 (forall @t7 (exists @t6 (and @t32 @t19)))) % 1.61/1.81 (assume @p26 (exists @t7 (and @t9 @t10))) % 1.61/1.81 (assume @p27 (exists @t7 @t17)) % 1.61/1.81 (assume @p28 (exists @t7 (and @t10 (tptp.relation_empty_yielding @t1)))) % 1.61/1.81 (assume @p29 (exists @t7 @t9)) % 1.61/1.81 (assume @p30 (exists @t7 @t16)) % 1.61/1.81 (assume @p31 (forall @t3 (=> @t18 @t20))) % 1.61/1.81 (assume @p32 (forall @t3 (not (and @t18 @t19)))) % 1.61/1.81 (assume @p33 @t40) % 1.61/1.81 (assume @p34 @t56) % 1.61/1.81 (assume @p35 true) % 1.61/1.81 (step @p36 :rule aci_norm :args ((= (or @t60 @t35) @t59))) % 1.61/1.81 (step @p37 :rule refl :args (@t35)) % 1.61/1.81 (step @p38 :rule bool-and-de-morgan :args (@t37 @t36 true)) % 1.61/1.81 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t61 @t35))) % 1.61/1.81 (step @p40 :rule trans :premises (@p39 @p36)) % 1.61/1.81 (step @p41 :rule bool-impl-elim :args (@t38 @t35)) % 1.61/1.81 (step @p42 :rule trans :premises (@p41 @p40)) % 1.61/1.81 (step @p43 :rule cong :premises (@p42) :args (@t39)) % 1.61/1.81 (step @p44 :rule cong :premises (@p43) :args (@t40)) % 1.61/1.81 (step @p45 :rule eq_resolve :premises (@p33 @p44)) % 1.61/1.81 (step @p46 :rule skolemize :premises (@p45)) % 1.61/1.81 (step @p47 :rule cnf_or_neg :args (@t76 2)) % 1.61/1.81 (step @p48 :rule chain_m_resolution :premises (@p47 @p46) :args ((not @t71) @t77 @t78)) % 1.61/1.81 (step @p49 :rule eq-symm :args (@t80 @t43)) % 1.61/1.81 (step @p50 :rule refl :args (@t81)) % 1.61/1.81 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t82)) % 1.61/1.81 (step @p52 :rule cong :premises (@p51) :args (@t83)) % 1.61/1.81 (step @p53 :rule refl :args (@t84)) % 1.61/1.81 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t85)) % 1.61/1.81 (step @p55 :rule refl :args (@t86)) % 1.61/1.81 (step @p56 :rule cong :premises (@p55 @p54) :args (@t87)) % 1.61/1.81 (step @p57 :rule refl :args (@t88)) % 1.61/1.81 (step @p58 :rule refl :args (@t89)) % 1.61/1.81 (step @p59 :rule refl :args (@t90)) % 1.61/1.81 (step @p60 :rule refl :args (@t91)) % 1.61/1.81 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58 @p57 @p56) :args (@t92)) % 1.61/1.81 (step @p62 :rule aci_norm :args ((= @t94 @t92))) % 1.61/1.81 (step @p63 :rule trans :premises (@p62 @p61)) % 1.61/1.81 (step @p64 :rule cong :premises (@p63) :args (@t96)) % 1.61/1.81 (step @p65 :rule quant-merge-prenex :args ((= (forall @t3 @t98) @t96))) % 1.61/1.81 (step @p66 :rule alpha_equiv :args (@t99 (@list @t79) (@list @t21))) % 1.61/1.81 (step @p67 :rule refl :args (@t90)) % 1.61/1.81 (step @p68 :rule refl :args (@t91)) % 1.61/1.81 (step @p69 :rule nary_cong :premises (@p68 @p67 @p66) :args (@t100)) % 1.61/1.81 (step @p70 :rule quant-miniscope-or :args ((= @t98 @t100))) % 1.61/1.81 (step @p71 :rule trans :premises (@p70 @p69)) % 1.61/1.81 (step @p72 :rule symm :premises (@p71)) % 1.61/1.81 (step @p73 :rule cong :premises (@p72) :args ((forall @t3 @t105))) % 1.61/1.81 (step @p74 :rule trans :premises (@p73 @p65)) % 1.61/1.81 (step @p75 :rule trans :premises (@p74 @p64)) % 1.61/1.81 (step @p76 :rule aci_norm :args ((= (or @t106 @t104) @t105))) % 1.61/1.81 (step @p77 :rule refl :args (@t104)) % 1.61/1.81 (step @p78 :rule bool-and-de-morgan :args (@t26 @t29 true)) % 1.61/1.81 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t107 @t104))) % 1.61/1.81 (step @p80 :rule trans :premises (@p79 @p76)) % 1.61/1.81 (step @p81 :rule bool-impl-elim :args (@t30 @t104)) % 1.61/1.81 (step @p82 :rule trans :premises (@p81 @p80)) % 1.61/1.81 (step @p83 :rule cong :premises (@p82) :args ((forall @t3 (=> @t30 @t104)))) % 1.61/1.81 (step @p84 :rule trans :premises (@p83 @p75)) % 1.61/1.81 (step @p85 :rule aci_norm :args ((= (or @t60 @t102) @t103))) % 1.61/1.81 (step @p86 :rule refl :args (@t102)) % 1.61/1.81 (step @p87 :rule nary_cong :premises (@p38 @p86) :args ((or @t61 @t102))) % 1.61/1.81 (step @p88 :rule trans :premises (@p87 @p85)) % 1.61/1.81 (step @p89 :rule bool-impl-elim :args (@t38 @t102)) % 1.61/1.81 (step @p90 :rule trans :premises (@p89 @p88)) % 1.61/1.81 (step @p91 :rule cong :premises (@p90) :args ((forall @t53 (=> @t38 @t102)))) % 1.61/1.81 (step @p92 :rule bool-impl-elim :args (@t44 @t101)) % 1.61/1.81 (step @p93 :rule cong :premises (@p92) :args ((forall @t46 (=> @t44 @t101)))) % 1.61/1.81 (step @p94 :rule eq-symm :args (@t43 @t42)) % 1.61/1.81 (step @p95 :rule refl :args (@t44)) % 1.61/1.81 (step @p96 :rule cong :premises (@p95 @p94) :args (@t45)) % 1.61/1.81 (step @p97 :rule cong :premises (@p96) :args (@t47)) % 1.61/1.81 (step @p98 :rule trans :premises (@p97 @p93)) % 1.61/1.81 (step @p99 :rule refl :args (@t48)) % 1.61/1.81 (step @p100 :rule nary_cong :premises (@p99 @p98) :args (@t49)) % 1.61/1.81 (step @p101 :rule refl :args (@t50)) % 1.61/1.81 (step @p102 :rule cong :premises (@p101 @p100) :args (@t51)) % 1.61/1.81 (step @p103 :rule refl :args (@t38)) % 1.61/1.81 (step @p104 :rule cong :premises (@p103 @p102) :args (@t52)) % 1.61/1.81 (step @p105 :rule cong :premises (@p104) :args (@t54)) % 1.61/1.81 (step @p106 :rule trans :premises (@p105 @p91)) % 1.61/1.81 (step @p107 :rule refl :args (@t30)) % 1.61/1.81 (step @p108 :rule cong :premises (@p107 @p106) :args (@t55)) % 1.61/1.81 (step @p109 :rule cong :premises (@p108) :args (@t56)) % 1.61/1.81 (step @p110 :rule trans :premises (@p109 @p84)) % 1.61/1.81 (step @p111 :rule eq_resolve :premises (@p34 @p110)) % 1.61/1.81 (step @p112 :rule bool-eq-true :args (@t114)) % 1.61/1.81 (step @p113 :rule eq-symm :args (true @t114)) % 1.61/1.81 (step @p114 :rule trans :premises (@p113 @p112)) % 1.61/1.81 (step @p115 :rule eq-symm :args (@t108 @t109)) % 1.61/1.81 (step @p116 :rule refl :args (@t111)) % 1.61/1.81 (step @p117 :rule nary_cong :premises (@p116 @p115) :args (@t115)) % 1.61/1.81 (step @p118 :rule cong :premises (@p117) :args (@t116)) % 1.61/1.81 (step @p119 :rule eq-symm :args (@t110 @t112)) % 1.61/1.81 (step @p120 :rule cong :premises (@p119) :args (@t117)) % 1.61/1.81 (step @p121 :rule nary_cong :premises (@p120 @p118) :args (@t118)) % 1.61/1.81 (step @p122 :rule eq-refl :args (@t68)) % 1.61/1.81 (step @p123 :rule cong :premises (@p122 @p121) :args (@t119)) % 1.61/1.81 (step @p124 :rule trans :premises (@p123 @p114)) % 1.61/1.81 (step @p125 :rule refl :args (@t73)) % 1.61/1.81 (step @p126 :rule refl :args (@t75)) % 1.61/1.81 (step @p127 :rule refl :args (@t121)) % 1.61/1.81 (step @p128 :rule refl :args (@t123)) % 1.61/1.81 (step @p129 :rule nary_cong :premises (@p128 @p127 @p126 @p125 @p124) :args (@t124)) % 1.61/1.81 (step @p130 :rule refl :args (@t125)) % 1.61/1.81 (step @p131 :rule cong :premises (@p130 @p129) :args ((=> @t125 @t124))) % 1.61/1.81 (assume-push @p191 @t125) % 1.61/1.81 (step @p133 :rule instantiate :premises (@p111) :args ((@list @t63 @t68 @t65))) % 1.61/1.81 (step-pop @p192 :rule scope :premises (@p133)) % 1.61/1.81 (step @p134 :rule process_scope :premises (@p192) :args (@t124)) % 1.61/1.81 (step @p136 :rule eq_resolve :premises (@p134 @p131)) % 1.61/1.81 (step @p137 :rule implies_elim :premises (@p136)) % 1.61/1.81 (step @p138 :rule chain_m_resolution :premises (@p137 @p111) :args (@t126 @t127 (@list @t125))) % 1.61/1.81 (step @p139 :rule aci_norm :args ((= (or @t106 @t28) (or @t91 @t90 @t28)))) % 1.61/1.81 (step @p140 :rule refl :args (@t28)) % 1.61/1.81 (step @p141 :rule nary_cong :premises (@p78 @p140) :args ((or @t107 @t28))) % 1.61/1.81 (step @p142 :rule trans :premises (@p141 @p139)) % 1.61/1.81 (step @p143 :rule bool-impl-elim :args (@t30 @t28)) % 1.61/1.81 (step @p144 :rule trans :premises (@p143 @p142)) % 1.61/1.81 (step @p145 :rule cong :premises (@p144) :args (@t31)) % 1.61/1.81 (step @p146 :rule eq_resolve :premises (@p20 @p145)) % 1.61/1.81 (step @p147 :rule instantiate :premises (@p146) :args (@t128)) % 1.61/1.81 (step @p148 :rule bool-double-not-elim :args (@t72)) % 1.61/1.81 (step @p149 :rule refl :args (@t76)) % 1.61/1.81 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or @t76 (not @t73)))) % 1.61/1.81 (step @p151 :rule cnf_or_neg :args (@t76 1)) % 1.61/1.81 (step @p152 :rule eq_resolve :premises (@p151 @p150)) % 1.61/1.81 (step @p153 :rule reordering :premises (@p152) :args ((or @t72 @t76))) % 1.61/1.81 (step @p154 :rule chain_m_resolution :premises (@p153 @p46) :args (@t72 @t77 @t78)) % 1.61/1.81 (step @p155 :rule bool-double-not-elim :args (@t74)) % 1.61/1.81 (step @p156 :rule nary_cong :premises (@p149 @p155) :args ((or @t76 (not @t75)))) % 1.61/1.81 (step @p157 :rule cnf_or_neg :args (@t76 0)) % 1.61/1.81 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 1.61/1.81 (step @p159 :rule reordering :premises (@p158) :args ((or @t74 @t76))) % 1.61/1.81 (step @p160 :rule chain_m_resolution :premises (@p159 @p46) :args (@t74 @t77 @t78)) % 1.61/1.81 (step @p161 :rule cnf_or_pos :args (@t130)) % 1.61/1.81 (step @p162 :rule reordering :premises (@p161) :args ((or @t75 @t73 @t129 (not @t130)))) % 1.61/1.81 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p154 @p147) :args (@t129 (@list false false false) (@list @t74 @t72 @t130))) % 1.61/1.81 (step @p164 :rule cnf_and_pos :args (@t129 1)) % 1.61/1.81 (step @p165 :rule reordering :premises (@p164) :args ((or @t120 (not @t129)))) % 1.61/1.81 (step @p166 :rule chain_m_resolution :premises (@p165 @p163) :args (@t120 @t127 (@list @t129))) % 1.61/1.81 (step @p167 :rule bool-impl-elim :args (@t26 @t25)) % 1.61/1.81 (step @p168 :rule cong :premises (@p167) :args (@t27)) % 1.61/1.81 (step @p169 :rule eq_resolve :premises (@p19 @p168)) % 1.61/1.81 (step @p170 :rule instantiate :premises (@p169) :args (@t128)) % 1.61/1.81 (step @p171 :rule cnf_or_pos :args (@t131)) % 1.61/1.81 (step @p172 :rule reordering :premises (@p171) :args ((or @t75 @t122 (not @t131)))) % 1.61/1.81 (step @p173 :rule chain_m_resolution :premises (@p172 @p160 @p170) :args (@t122 (@list false false) (@list @t74 @t131))) % 1.61/1.81 (step @p174 :rule cnf_or_pos :args (@t126)) % 1.61/1.81 (step @p175 :rule reordering :premises (@p174) :args ((or @t75 @t73 @t123 @t121 @t114 (not @t126)))) % 1.61/1.81 (step @p176 :rule chain_m_resolution :premises (@p175 @p160 @p154 @p173 @p166 @p138) :args (@t114 (@list false false false false false) (@list @t74 @t72 @t122 @t120 @t126))) % 1.61/1.81 (step @p177 :rule cnf_and_pos :args (@t114 0)) % 1.61/1.81 (step @p178 :rule reordering :premises (@p177) :args ((or @t113 (not @t114)))) % 1.61/1.81 (step @p179 :rule chain_m_resolution :premises (@p178 @p176) :args (@t113 @t127 (@list @t114))) % 1.61/1.81 (step @p180 :rule eq-symm :args (@t67 @t70)) % 1.61/1.81 (step @p181 :rule refl :args (@t113)) % 1.61/1.81 (step @p182 :rule cong :premises (@p181 @p180) :args ((=> @t113 @t132))) % 1.61/1.81 (assume-push @p193 @t113) % 1.61/1.82 (step @p184 :rule instantiate :premises (@p179) :args ((@list @t64))) % 1.61/1.82 (step-pop @p194 :rule scope :premises (@p184)) % 1.61/1.82 (step @p185 :rule process_scope :premises (@p194) :args (@t132)) % 1.61/1.82 (step @p187 :rule eq_resolve :premises (@p185 @p182)) % 1.61/1.82 (step @p188 :rule implies_elim :premises (@p187)) % 1.61/1.82 (step @p189 :rule reordering :premises (@p188) :args ((or @t71 (not @t113)))) % 1.61/1.82 (step @p190 false :rule chain_m_resolution :premises (@p189 @p179 @p48) :args (false (@list false true) (@list @t113 @t71))) % 1.61/1.82 ) % 1.61/1.82 % SZS output end Proof % 1.61/1.82 % cvc5 exiting %------------------------------------------------------------------------------