%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU248+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:51:07 AM UTC 2026 % Result : Theorem 128.27s 128.52s % Output : Proof 128.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU248+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n008.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 16:48:03 EDT 2026 % 0.16/0.33 % CPUTime : % 0.32/0.48 %----Proving TF0_NAR, FOF, or CNF % 128.27/128.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 128.27/128.52 --- Run --no-e-matching --full-saturate-quant at 6... % 128.27/128.52 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 128.27/128.52 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 128.27/128.52 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 128.27/128.52 --- Run --trigger-sel=max --full-saturate-quant at 15... % 128.27/128.52 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 128.27/128.52 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 128.27/128.52 --- Run --prenex-quant=none --full-saturate-quant at 30... % 128.27/128.52 % SZS status Theorem % 128.27/128.52 % SZS output start Proof % 128.27/128.52 ( % 128.27/128.52 (declare-sort $$unsorted 0) % 128.27/128.52 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 128.27/128.52 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 128.27/128.52 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 128.27/128.52 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 128.27/128.52 (declare-const tptp.function (-> $$unsorted Bool)) % 128.27/128.52 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 128.27/128.52 (declare-const tptp.empty (-> $$unsorted Bool)) % 128.27/128.52 (declare-const tptp.relation (-> $$unsorted Bool)) % 128.27/128.52 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 128.27/128.52 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 128.27/128.52 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 128.27/128.52 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 128.27/128.52 (declare-const tptp.empty_set $$unsorted) % 128.27/128.52 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 128.27/128.52 (define @t1 () (@var "A" $$unsorted)) % 128.27/128.52 (define @t2 () (@var "B" $$unsorted)) % 128.27/128.52 (define @t3 () (tptp.in @t1 @t2)) % 128.27/128.52 (define @t4 () (@list @t1 @t2)) % 128.27/128.52 (define @t5 () (tptp.function @t1)) % 128.27/128.52 (define @t6 () (tptp.empty @t1)) % 128.27/128.52 (define @t7 () (@list @t1)) % 128.27/128.52 (define @t8 () (tptp.relation @t1)) % 128.27/128.52 (define @t9 () (and @t8 @t5 (tptp.one_to_one @t1))) % 128.27/128.52 (define @t10 () (and @t8 @t6 @t5)) % 128.27/128.52 (define @t11 () (tptp.unordered_pair @t1 @t2)) % 128.27/128.52 (define @t12 () (@var "E" $$unsorted)) % 128.27/128.52 (define @t13 () (@var "D" $$unsorted)) % 128.27/128.52 (define @t14 () (tptp.ordered_pair @t13 @t12)) % 128.27/128.52 (define @t15 () (@var "C" $$unsorted)) % 128.27/128.52 (define @t16 () (tptp.in @t14 @t15)) % 128.27/128.52 (define @t17 () (@list @t13 @t12)) % 128.27/128.52 (define @t18 () (tptp.relation_rng_restriction @t1 @t2)) % 128.27/128.52 (define @t19 () (= (= @t15 @t18) (forall @t17 (= @t16 (and (tptp.in @t12 @t1) (tptp.in @t14 @t2)))))) % 128.27/128.52 (define @t20 () (tptp.relation @t15)) % 128.27/128.52 (define @t21 () (@list @t15)) % 128.27/128.52 (define @t22 () (forall @t21 (=> @t20 @t19))) % 128.27/128.52 (define @t23 () (tptp.relation @t2)) % 128.27/128.52 (define @t24 () (=> @t23 @t22)) % 128.27/128.52 (define @t25 () (forall @t4 @t24)) % 128.27/128.52 (define @t26 () (tptp.in @t15 @t2)) % 128.27/128.52 (define @t27 () (tptp.in @t15 @t1)) % 128.27/128.52 (define @t28 () (forall @t21 (=> @t27 @t26))) % 128.27/128.52 (define @t29 () (tptp.subset @t1 @t2)) % 128.27/128.52 (define @t30 () (= @t29 @t28)) % 128.27/128.52 (define @t31 () (forall @t4 @t30)) % 128.27/128.52 (define @t32 () (tptp.ordered_pair @t15 @t13)) % 128.27/128.52 (define @t33 () (tptp.in @t32 @t1)) % 128.27/128.52 (define @t34 () (@list @t13)) % 128.27/128.52 (define @t35 () (exists @t34 @t33)) % 128.27/128.52 (define @t36 () (= @t26 @t35)) % 128.27/128.52 (define @t37 () (forall @t21 @t36)) % 128.27/128.52 (define @t38 () (= @t2 (tptp.relation_dom @t1))) % 128.27/128.52 (define @t39 () (= @t38 @t37)) % 128.27/128.52 (define @t40 () (@list @t2)) % 128.27/128.52 (define @t41 () (forall @t40 @t39)) % 128.27/128.52 (define @t42 () (=> @t8 @t41)) % 128.27/128.52 (define @t43 () (forall @t7 @t42)) % 128.27/128.52 (define @t44 () (tptp.ordered_pair @t1 @t2)) % 128.27/128.52 (define @t45 () (tptp.relation @t18)) % 128.27/128.52 (define @t46 () (forall @t4 (=> @t23 @t45))) % 128.27/128.52 (define @t47 () (tptp.subset (tptp.relation_dom @t18) (tptp.relation_dom @t2))) % 128.27/128.52 (define @t48 () (forall @t4 (=> @t23 @t47))) % 128.27/128.52 (define @t49 () (not @t48)) % 128.27/128.52 (define @t50 () (tptp.element @t1 @t2)) % 128.27/128.52 (define @t51 () (tptp.empty @t2)) % 128.27/128.52 (define @t52 () (tptp.element @t2 (tptp.powerset @t15))) % 128.27/128.52 (define @t53 () (@list @t1 @t2 @t15)) % 128.27/128.52 (define @t54 () (not (forall @t34 (not @t33)))) % 128.27/128.52 (define @t55 () (forall @t40 (= @t38 (forall @t21 (= @t26 @t54))))) % 128.27/128.52 (define @t56 () (forall @t4 (or (not @t23) @t47))) % 128.27/128.52 (define @t57 () (@quantifiers_skolemize @t56 1)) % 128.27/128.52 (define @t58 () (@quantifiers_skolemize @t56 0)) % 128.27/128.52 (define @t59 () (tptp.relation_rng_restriction @t58 @t57)) % 128.27/128.52 (define @t60 () (@list @t59)) % 128.27/128.52 (define @t61 () (@list @t58 @t57)) % 128.27/128.52 (define @t62 () (tptp.relation @t57)) % 128.27/128.52 (define @t63 () (tptp.relation_dom @t57)) % 128.27/128.52 (define @t64 () (tptp.relation_dom @t59)) % 128.27/128.52 (define @t65 () (tptp.subset @t64 @t63)) % 128.27/128.52 (define @t66 () (not @t62)) % 128.27/128.52 (define @t67 () (or @t66 @t65)) % 128.27/128.52 (define @t68 () (@list true)) % 128.27/128.52 (define @t69 () (@list @t67)) % 128.27/128.52 (define @t70 () (tptp.relation @t59)) % 128.27/128.52 (define @t71 () (or @t66 @t70)) % 128.27/128.52 (define @t72 () (@list false false)) % 128.27/128.52 (define @t73 () (not (forall @t34 (not (tptp.in @t32 @t59))))) % 128.27/128.52 (define @t74 () (forall @t40 (= (= @t2 @t64) (forall @t21 (= @t26 @t73))))) % 128.27/128.52 (define @t75 () (not @t70)) % 128.27/128.52 (define @t76 () (or @t75 @t74)) % 128.27/128.52 (define @t77 () (tptp.in @t15 @t64)) % 128.27/128.52 (define @t78 () (forall @t21 (= @t77 @t73))) % 128.27/128.52 (define @t79 () (= (= @t64 @t64) @t78)) % 128.27/128.52 (define @t80 () (@list false)) % 128.27/128.52 (define @t81 () (tptp.in @t15 @t63)) % 128.27/128.52 (define @t82 () (forall @t21 (or (not @t77) @t81))) % 128.27/128.52 (define @t83 () (@quantifiers_skolemize @t82 0)) % 128.27/128.52 (define @t84 () (@list @t83)) % 128.27/128.52 (define @t85 () (= @t65 @t82)) % 128.27/128.52 (define @t86 () (not @t82)) % 128.27/128.52 (define @t87 () (@list true false)) % 128.27/128.52 (define @t88 () (tptp.in @t83 @t64)) % 128.27/128.52 (define @t89 () (tptp.in @t83 @t63)) % 128.27/128.52 (define @t90 () (not @t88)) % 128.27/128.52 (define @t91 () (or @t90 @t89)) % 128.27/128.52 (define @t92 () (@list @t91)) % 128.27/128.52 (define @t93 () (tptp.ordered_pair @t83 @t13)) % 128.27/128.52 (define @t94 () (forall @t34 (not (tptp.in @t93 @t59)))) % 128.27/128.52 (define @t95 () (not @t94)) % 128.27/128.52 (define @t96 () (= @t88 @t95)) % 128.27/128.52 (define @t97 () (@quantifiers_skolemize @t94 0)) % 128.27/128.52 (define @t98 () (tptp.ordered_pair @t83 @t97)) % 128.27/128.52 (define @t99 () (tptp.in @t98 @t59)) % 128.27/128.52 (define @t100 () (not @t99)) % 128.27/128.52 (define @t101 () (not @t100)) % 128.27/128.52 (define @t102 () (not @t20)) % 128.27/128.52 (define @t103 () (forall @t21 (or @t102 @t19))) % 128.27/128.52 (define @t104 () (and (tptp.in @t12 @t58) (tptp.in @t14 @t57))) % 128.27/128.52 (define @t105 () (forall @t21 (or @t102 (= (= @t15 @t59) (forall @t17 (= @t16 @t104)))))) % 128.27/128.52 (define @t106 () (or @t66 @t105)) % 128.27/128.52 (define @t107 () (forall @t17 (= (tptp.in @t14 @t59) @t104))) % 128.27/128.52 (define @t108 () (= (= @t59 @t59) @t107)) % 128.27/128.52 (define @t109 () (or @t75 @t108)) % 128.27/128.52 (define @t110 () (or @t75 @t107)) % 128.27/128.52 (define @t111 () (not (forall @t34 (not (tptp.in @t32 @t57))))) % 128.27/128.52 (define @t112 () (forall @t40 (= (= @t2 @t63) (forall @t21 (= @t26 @t111))))) % 128.27/128.52 (define @t113 () (or @t66 @t112)) % 128.27/128.52 (define @t114 () (forall @t21 (= @t81 @t111))) % 128.27/128.52 (define @t115 () (= (= @t63 @t63) @t114)) % 128.27/128.52 (define @t116 () (forall @t34 (not (tptp.in @t93 @t57)))) % 128.27/128.52 (define @t117 () (not @t116)) % 128.27/128.52 (define @t118 () (= @t89 @t117)) % 128.27/128.52 (define @t119 () (not @t118)) % 128.27/128.52 (define @t120 () (tptp.in @t98 @t57)) % 128.27/128.52 (define @t121 () (and (tptp.in @t97 @t58) @t120)) % 128.27/128.52 (define @t122 () (not @t121)) % 128.27/128.52 (define @t123 () (= @t99 @t121)) % 128.27/128.52 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 128.27/128.52 (assume @p2 (forall @t7 (=> @t6 @t5))) % 128.27/128.52 (assume @p3 (forall @t7 (=> @t10 @t9))) % 128.27/128.52 (assume @p4 (forall @t4 (= @t11 (tptp.unordered_pair @t2 @t1)))) % 128.27/128.52 (assume @p5 @t25) % 128.27/128.52 (assume @p6 @t31) % 128.27/128.52 (assume @p7 @t43) % 128.27/128.52 (assume @p8 (forall @t4 (= @t44 (tptp.unordered_pair @t11 (tptp.singleton @t1))))) % 128.27/128.52 (assume @p9 true) % 128.27/128.52 (assume @p10 @t46) % 128.27/128.52 (assume @p11 (forall @t7 (exists @t40 (tptp.element @t2 @t1)))) % 128.27/128.52 (assume @p12 (tptp.empty tptp.empty_set)) % 128.27/128.52 (assume @p13 (forall @t4 (not (tptp.empty @t44)))) % 128.27/128.52 (assume @p14 (forall @t4 (=> (and @t23 (tptp.function @t2)) (and @t45 (tptp.function @t18))))) % 128.27/128.52 (assume @p15 @t49) % 128.27/128.52 (assume @p16 (exists @t7 (and @t8 @t5))) % 128.27/128.52 (assume @p17 (exists @t7 @t6)) % 128.27/128.52 (assume @p18 (exists @t7 @t10)) % 128.27/128.52 (assume @p19 (exists @t7 (not @t6))) % 128.27/128.52 (assume @p20 (exists @t7 @t9)) % 128.27/128.52 (assume @p21 (forall @t4 (tptp.subset @t1 @t1))) % 128.27/128.52 (assume @p22 (forall @t4 (=> @t3 @t50))) % 128.27/128.52 (assume @p23 (forall @t4 (=> @t50 (or @t51 @t3)))) % 128.27/128.52 (assume @p24 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t29))) % 128.27/128.52 (assume @p25 (forall @t53 (=> (and @t3 @t52) (tptp.element @t1 @t15)))) % 128.27/128.52 (assume @p26 (forall @t53 (not (and @t3 @t52 (tptp.empty @t15))))) % 128.27/128.52 (assume @p27 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 128.27/128.52 (assume @p28 (forall @t4 (not (and @t3 @t51)))) % 128.27/128.52 (assume @p29 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t51)))) % 128.27/128.52 (step @p30 :rule bool-impl-elim :args (@t8 @t55)) % 128.27/128.52 (step @p31 :rule cong :premises (@p30) :args ((forall @t7 (=> @t8 @t55)))) % 128.27/128.52 (step @p32 :rule exists-elim :args ((= @t35 @t54))) % 128.27/128.52 (step @p33 :rule refl :args (@t26)) % 128.27/128.52 (step @p34 :rule cong :premises (@p33 @p32) :args (@t36)) % 128.27/128.52 (step @p35 :rule cong :premises (@p34) :args (@t37)) % 128.27/128.52 (step @p36 :rule refl :args (@t38)) % 128.27/128.52 (step @p37 :rule cong :premises (@p36 @p35) :args (@t39)) % 128.27/128.52 (step @p38 :rule cong :premises (@p37) :args (@t41)) % 128.27/128.52 (step @p39 :rule refl :args (@t8)) % 128.27/128.52 (step @p40 :rule cong :premises (@p39 @p38) :args (@t42)) % 128.27/128.52 (step @p41 :rule cong :premises (@p40) :args (@t43)) % 128.27/128.52 (step @p42 :rule trans :premises (@p41 @p31)) % 128.27/128.52 (step @p43 :rule eq_resolve :premises (@p7 @p42)) % 128.27/128.52 (step @p44 :rule instantiate :premises (@p43) :args (@t60)) % 128.27/128.52 (step @p45 :rule bool-impl-elim :args (@t23 @t45)) % 128.27/128.52 (step @p46 :rule cong :premises (@p45) :args (@t46)) % 128.27/128.52 (step @p47 :rule eq_resolve :premises (@p10 @p46)) % 128.27/128.52 (step @p48 :rule instantiate :premises (@p47) :args (@t61)) % 128.27/128.52 (step @p49 :rule bool-impl-elim :args (@t23 @t47)) % 128.27/128.52 (step @p50 :rule cong :premises (@p49) :args (@t48)) % 128.27/128.52 (step @p51 :rule cong :premises (@p50) :args (@t49)) % 128.27/128.52 (step @p52 :rule eq_resolve :premises (@p15 @p51)) % 128.27/128.52 (step @p53 :rule skolemize :premises (@p52)) % 128.27/128.52 (step @p54 :rule bool-double-not-elim :args (@t62)) % 128.27/128.52 (step @p55 :rule refl :args (@t67)) % 128.27/128.52 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t67 (not @t66)))) % 128.27/128.52 (step @p57 :rule cnf_or_neg :args (@t67 0)) % 128.27/128.52 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 128.27/128.52 (step @p59 :rule reordering :premises (@p58) :args ((or @t62 @t67))) % 128.27/128.52 (step @p60 :rule chain_m_resolution :premises (@p59 @p53) :args (@t62 @t68 @t69)) % 128.27/128.52 (step @p61 :rule cnf_or_pos :args (@t71)) % 128.27/128.52 (step @p62 :rule reordering :premises (@p61) :args ((or @t66 @t70 (not @t71)))) % 128.27/128.52 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p48) :args (@t70 @t72 (@list @t62 @t71))) % 128.27/128.52 (step @p64 :rule cnf_or_pos :args (@t76)) % 128.27/128.52 (step @p65 :rule reordering :premises (@p64) :args ((or @t75 @t74 (not @t76)))) % 128.27/128.52 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p44) :args (@t74 @t72 (@list @t70 @t76))) % 128.27/128.52 (step @p67 :rule bool-eq-true :args (@t78)) % 128.27/128.52 (step @p68 :rule eq-symm :args (true @t78)) % 128.27/128.52 (step @p69 :rule trans :premises (@p68 @p67)) % 128.27/128.52 (step @p70 :rule refl :args (@t78)) % 128.27/128.52 (step @p71 :rule eq-refl :args (@t64)) % 128.27/128.52 (step @p72 :rule cong :premises (@p71 @p70) :args (@t79)) % 128.27/128.52 (step @p73 :rule trans :premises (@p72 @p69)) % 128.27/128.52 (step @p74 :rule refl :args (@t74)) % 128.27/128.52 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t74 @t79))) % 128.27/128.52 (assume-push @p194 @t74) % 128.27/128.52 (step @p77 :rule instantiate :premises (@p66) :args ((@list @t64))) % 128.27/128.52 (step-pop @p195 :rule scope :premises (@p77)) % 128.27/128.52 (step @p78 :rule process_scope :premises (@p195) :args (@t79)) % 128.27/128.52 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 128.27/128.52 (step @p81 :rule implies_elim :premises (@p80)) % 128.27/128.52 (step @p82 :rule chain_m_resolution :premises (@p81 @p66) :args (@t78 @t80 (@list @t74))) % 128.27/128.52 (step @p83 :rule instantiate :premises (@p82) :args (@t84)) % 128.27/128.52 (step @p84 :rule bool-impl-elim :args (@t27 @t26)) % 128.27/128.52 (step @p85 :rule cong :premises (@p84) :args (@t28)) % 128.27/128.52 (step @p86 :rule refl :args (@t29)) % 128.27/128.52 (step @p87 :rule cong :premises (@p86 @p85) :args (@t30)) % 128.27/128.52 (step @p88 :rule cong :premises (@p87) :args (@t31)) % 128.27/128.52 (step @p89 :rule eq_resolve :premises (@p6 @p88)) % 128.27/128.52 (step @p90 :rule instantiate :premises (@p89) :args ((@list @t64 @t63))) % 128.27/128.52 (step @p91 :rule cnf_or_neg :args (@t67 1)) % 128.27/128.52 (step @p92 :rule chain_m_resolution :premises (@p91 @p53) :args ((not @t65) @t68 @t69)) % 128.27/128.52 (step @p93 :rule cnf_equiv_pos2 :args (@t85)) % 128.27/128.52 (step @p94 :rule reordering :premises (@p93) :args ((or @t65 @t86 (not @t85)))) % 128.27/128.52 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p90) :args (@t86 @t87 (@list @t65 @t85))) % 128.27/128.52 (step @p96 :rule skolemize :premises (@p95)) % 128.27/128.52 (step @p97 :rule bool-double-not-elim :args (@t88)) % 128.27/128.52 (step @p98 :rule refl :args (@t91)) % 128.27/128.52 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or @t91 (not @t90)))) % 128.27/128.52 (step @p100 :rule cnf_or_neg :args (@t91 0)) % 128.27/128.52 (step @p101 :rule eq_resolve :premises (@p100 @p99)) % 128.27/128.52 (step @p102 :rule reordering :premises (@p101) :args ((or @t88 @t91))) % 128.27/128.52 (step @p103 :rule chain_m_resolution :premises (@p102 @p96) :args (@t88 @t68 @t92)) % 128.27/128.52 (step @p104 :rule cnf_equiv_pos1 :args (@t96)) % 128.27/128.52 (step @p105 :rule reordering :premises (@p104) :args ((or @t90 @t95 (not @t96)))) % 128.27/128.52 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p83) :args (@t95 @t72 (@list @t88 @t96))) % 128.27/128.52 (step @p107 :rule refl :args (@t99)) % 128.27/128.52 (step @p108 :rule bool-double-not-elim :args (@t94)) % 128.27/128.52 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or (not @t95) @t99))) % 128.27/128.52 (step @p110 :rule bool-double-not-elim :args (@t99)) % 128.27/128.52 (step @p111 :rule refl :args (@t95)) % 128.27/128.52 (step @p112 :rule cong :premises (@p111 @p110) :args ((=> @t95 @t101))) % 128.27/128.52 (assume-push @p196 @t95) % 128.27/128.52 (step @p114 :rule skolemize :premises (@p106)) % 128.27/128.52 (step-pop @p197 :rule scope :premises (@p114)) % 128.27/128.52 (step @p115 :rule process_scope :premises (@p197) :args (@t101)) % 128.27/128.52 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 128.27/128.52 (step @p118 :rule implies_elim :premises (@p117)) % 128.27/128.52 (step @p119 :rule eq_resolve :premises (@p118 @p109)) % 128.27/128.52 (step @p120 :rule chain_m_resolution :premises (@p119 @p106) :args (@t99 @t68 (@list @t94))) % 128.27/128.52 (step @p121 :rule bool-impl-elim :args (@t23 @t103)) % 128.27/128.52 (step @p122 :rule cong :premises (@p121) :args ((forall @t4 (=> @t23 @t103)))) % 128.27/128.52 (step @p123 :rule bool-impl-elim :args (@t20 @t19)) % 128.27/128.52 (step @p124 :rule cong :premises (@p123) :args (@t22)) % 128.27/128.52 (step @p125 :rule refl :args (@t23)) % 128.27/128.52 (step @p126 :rule cong :premises (@p125 @p124) :args (@t24)) % 128.27/128.52 (step @p127 :rule cong :premises (@p126) :args (@t25)) % 128.27/128.52 (step @p128 :rule trans :premises (@p127 @p122)) % 128.27/128.52 (step @p129 :rule eq_resolve :premises (@p5 @p128)) % 128.27/128.52 (step @p130 :rule instantiate :premises (@p129) :args (@t61)) % 128.27/128.52 (step @p131 :rule cnf_or_pos :args (@t106)) % 128.27/128.52 (step @p132 :rule reordering :premises (@p131) :args ((or @t66 @t105 (not @t106)))) % 128.27/128.52 (step @p133 :rule chain_m_resolution :premises (@p132 @p60 @p130) :args (@t105 @t72 (@list @t62 @t106))) % 128.27/128.52 (step @p134 :rule bool-eq-true :args (@t107)) % 128.27/128.52 (step @p135 :rule eq-symm :args (true @t107)) % 128.27/128.52 (step @p136 :rule trans :premises (@p135 @p134)) % 128.27/128.52 (step @p137 :rule refl :args (@t107)) % 128.27/128.52 (step @p138 :rule eq-refl :args (@t59)) % 128.27/128.52 (step @p139 :rule cong :premises (@p138 @p137) :args (@t108)) % 128.27/128.52 (step @p140 :rule trans :premises (@p139 @p136)) % 128.27/128.52 (step @p141 :rule refl :args (@t75)) % 128.27/128.52 (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t109)) % 128.27/128.52 (step @p143 :rule refl :args (@t105)) % 128.27/128.52 (step @p144 :rule cong :premises (@p143 @p142) :args ((=> @t105 @t109))) % 128.27/128.52 (assume-push @p198 @t105) % 128.27/128.52 (step @p146 :rule instantiate :premises (@p133) :args (@t60)) % 128.27/128.52 (step-pop @p199 :rule scope :premises (@p146)) % 128.27/128.52 (step @p147 :rule process_scope :premises (@p199) :args (@t109)) % 128.27/128.52 (step @p149 :rule eq_resolve :premises (@p147 @p144)) % 128.27/128.52 (step @p150 :rule implies_elim :premises (@p149)) % 128.27/128.52 (step @p151 :rule chain_m_resolution :premises (@p150 @p133) :args (@t110 @t80 (@list @t105))) % 128.27/128.52 (step @p152 :rule cnf_or_pos :args (@t110)) % 128.27/128.52 (step @p153 :rule reordering :premises (@p152) :args ((or @t75 @t107 (not @t110)))) % 128.27/128.52 (step @p154 :rule chain_m_resolution :premises (@p153 @p63 @p151) :args (@t107 @t72 (@list @t70 @t110))) % 128.27/128.52 (step @p155 :rule instantiate :premises (@p154) :args ((@list @t83 @t97))) % 128.27/128.52 (step @p156 :rule instantiate :premises (@p43) :args ((@list @t57))) % 128.27/128.52 (step @p157 :rule cnf_or_pos :args (@t113)) % 128.27/128.52 (step @p158 :rule reordering :premises (@p157) :args ((or @t66 @t112 (not @t113)))) % 128.27/128.52 (step @p159 :rule chain_m_resolution :premises (@p158 @p60 @p156) :args (@t112 @t72 (@list @t62 @t113))) % 128.27/128.52 (step @p160 :rule bool-eq-true :args (@t114)) % 128.27/128.52 (step @p161 :rule eq-symm :args (true @t114)) % 128.27/128.52 (step @p162 :rule trans :premises (@p161 @p160)) % 128.27/128.52 (step @p163 :rule refl :args (@t114)) % 128.27/128.52 (step @p164 :rule eq-refl :args (@t63)) % 128.27/128.52 (step @p165 :rule cong :premises (@p164 @p163) :args (@t115)) % 128.27/128.52 (step @p166 :rule trans :premises (@p165 @p162)) % 128.27/128.52 (step @p167 :rule refl :args (@t112)) % 128.27/128.52 (step @p168 :rule cong :premises (@p167 @p166) :args ((=> @t112 @t115))) % 128.27/128.52 (assume-push @p200 @t112) % 128.27/128.52 (step @p170 :rule instantiate :premises (@p159) :args ((@list @t63))) % 128.27/128.52 (step-pop @p201 :rule scope :premises (@p170)) % 128.27/128.52 (step @p171 :rule process_scope :premises (@p201) :args (@t115)) % 128.27/128.52 (step @p173 :rule eq_resolve :premises (@p171 @p168)) % 128.27/128.52 (step @p174 :rule implies_elim :premises (@p173)) % 128.27/128.52 (step @p175 :rule chain_m_resolution :premises (@p174 @p159) :args (@t114 @t80 (@list @t112))) % 128.27/128.52 (step @p176 :rule instantiate :premises (@p175) :args (@t84)) % 128.27/128.52 (step @p177 :rule cnf_or_neg :args (@t91 1)) % 128.27/128.52 (step @p178 :rule chain_m_resolution :premises (@p177 @p96) :args ((not @t89) @t68 @t92)) % 128.27/128.52 (step @p179 :rule bool-double-not-elim :args (@t116)) % 128.27/128.52 (step @p180 :rule refl :args (@t89)) % 128.27/128.52 (step @p181 :rule refl :args (@t119)) % 128.27/128.52 (step @p182 :rule nary_cong :premises (@p181 @p180 @p179) :args ((or @t119 @t89 (not @t117)))) % 128.27/128.52 (step @p183 :rule cnf_equiv_pos2 :args (@t118)) % 128.27/128.52 (step @p184 :rule eq_resolve :premises (@p183 @p182)) % 128.27/128.52 (step @p185 :rule reordering :premises (@p184) :args ((or @t89 @t116 @t119))) % 128.27/128.52 (step @p186 :rule chain_m_resolution :premises (@p185 @p178 @p176) :args (@t116 @t87 (@list @t89 @t118))) % 128.27/128.52 (step @p187 :rule instantiate :premises (@p186) :args ((@list @t97))) % 128.27/128.52 (step @p188 :rule cnf_and_pos :args (@t121 1)) % 128.27/128.52 (step @p189 :rule reordering :premises (@p188) :args ((or @t120 @t122))) % 128.27/128.52 (step @p190 :rule chain_m_resolution :premises (@p189 @p187) :args (@t122 @t68 (@list @t120))) % 128.27/128.52 (step @p191 :rule cnf_equiv_pos1 :args (@t123)) % 128.27/128.52 (step @p192 :rule reordering :premises (@p191) :args ((or @t100 @t121 (not @t123)))) % 128.27/128.52 (step @p193 false :rule chain_m_resolution :premises (@p192 @p190 @p155 @p120) :args (false (@list true false false) (@list @t121 @t123 @t99))) % 128.27/128.52 ) % 128.27/128.52 % SZS output end Proof % 128.27/128.52 % cvc5 exiting %------------------------------------------------------------------------------