%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU252+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:51:08 AM UTC 2026 % Result : Theorem 0.36s 0.61s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU252+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n010.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:47:25 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.61 % SZS status Theorem % 0.36/0.61 % SZS output start Proof % 0.36/0.61 ( % 0.36/0.61 (declare-sort $$unsorted 0) % 0.36/0.61 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.empty_set $$unsorted) % 0.36/0.61 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.function (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.36/0.61 (define @t1 () (@var "A" $$unsorted)) % 0.36/0.61 (define @t2 () (@var "B" $$unsorted)) % 0.36/0.61 (define @t3 () (tptp.in @t1 @t2)) % 0.36/0.61 (define @t4 () (@list @t1 @t2)) % 0.36/0.61 (define @t5 () (tptp.function @t1)) % 0.36/0.61 (define @t6 () (tptp.empty @t1)) % 0.36/0.61 (define @t7 () (@list @t1)) % 0.36/0.61 (define @t8 () (tptp.relation @t1)) % 0.36/0.61 (define @t9 () (and @t8 @t5 (tptp.one_to_one @t1))) % 0.36/0.61 (define @t10 () (and @t8 @t6 @t5)) % 0.36/0.61 (define @t11 () (tptp.unordered_pair @t1 @t2)) % 0.36/0.61 (define @t12 () (tptp.set_union2 @t2 @t1)) % 0.36/0.61 (define @t13 () (tptp.set_union2 @t1 @t2)) % 0.36/0.61 (define @t14 () (tptp.ordered_pair @t1 @t2)) % 0.36/0.61 (define @t15 () (tptp.relation_field @t1)) % 0.36/0.61 (define @t16 () (tptp.cartesian_product2 @t2 @t2)) % 0.36/0.61 (define @t17 () (tptp.relation_restriction @t1 @t2)) % 0.36/0.61 (define @t18 () (@list @t2)) % 0.36/0.61 (define @t19 () (tptp.relation @t17)) % 0.36/0.61 (define @t20 () (forall @t4 (=> @t8 @t19))) % 0.36/0.61 (define @t21 () (not @t6)) % 0.36/0.61 (define @t22 () (tptp.ordered_pair @t2 @t2)) % 0.36/0.61 (define @t23 () (tptp.in @t22 @t1)) % 0.36/0.61 (define @t24 () (tptp.in @t2 @t15)) % 0.36/0.61 (define @t25 () (forall @t18 (=> @t24 @t23))) % 0.36/0.61 (define @t26 () (tptp.reflexive @t1)) % 0.36/0.61 (define @t27 () (= @t26 @t25)) % 0.36/0.61 (define @t28 () (=> @t8 @t27)) % 0.36/0.61 (define @t29 () (forall @t7 @t28)) % 0.36/0.61 (define @t30 () (@var "D" $$unsorted)) % 0.36/0.61 (define @t31 () (@var "C" $$unsorted)) % 0.36/0.61 (define @t32 () (tptp.in @t1 @t31)) % 0.36/0.61 (define @t33 () (forall (@list @t1 @t2 @t31 @t30) (= (tptp.in @t14 (tptp.cartesian_product2 @t31 @t30)) (and @t32 (tptp.in @t2 @t30))))) % 0.36/0.61 (define @t34 () (tptp.relation_restriction @t31 @t2)) % 0.36/0.61 (define @t35 () (= (tptp.in @t1 @t34) (and @t32 (tptp.in @t1 @t16)))) % 0.36/0.61 (define @t36 () (tptp.relation @t31)) % 0.36/0.61 (define @t37 () (@list @t1 @t2 @t31)) % 0.36/0.61 (define @t38 () (forall @t37 (=> @t36 @t35))) % 0.36/0.61 (define @t39 () (and (tptp.in @t1 (tptp.relation_field @t31)) @t3)) % 0.36/0.61 (define @t40 () (tptp.in @t1 (tptp.relation_field @t34))) % 0.36/0.61 (define @t41 () (=> @t40 @t39)) % 0.36/0.61 (define @t42 () (forall @t37 (=> @t36 @t41))) % 0.36/0.61 (define @t43 () (tptp.element @t1 @t2)) % 0.36/0.61 (define @t44 () (tptp.reflexive (tptp.relation_restriction @t2 @t1))) % 0.36/0.61 (define @t45 () (tptp.reflexive @t2)) % 0.36/0.61 (define @t46 () (=> @t45 @t44)) % 0.36/0.61 (define @t47 () (tptp.relation @t2)) % 0.36/0.61 (define @t48 () (forall @t4 (=> @t47 @t46))) % 0.36/0.61 (define @t49 () (not @t48)) % 0.36/0.61 (define @t50 () (tptp.empty @t2)) % 0.36/0.61 (define @t51 () (not @t40)) % 0.36/0.61 (define @t52 () (not @t36)) % 0.36/0.61 (define @t53 () (not @t45)) % 0.36/0.61 (define @t54 () (not @t47)) % 0.36/0.61 (define @t55 () (or @t54 @t53 @t44)) % 0.36/0.61 (define @t56 () (forall @t4 @t55)) % 0.36/0.61 (define @t57 () (@quantifiers_skolemize @t56 1)) % 0.36/0.61 (define @t58 () (@quantifiers_skolemize @t56 0)) % 0.36/0.61 (define @t59 () (tptp.relation_restriction @t57 @t58)) % 0.36/0.61 (define @t60 () (tptp.relation_field @t59)) % 0.36/0.61 (define @t61 () (forall @t18 (or (not (tptp.in @t2 @t60)) (tptp.in @t22 @t59)))) % 0.36/0.61 (define @t62 () (@quantifiers_skolemize @t61 0)) % 0.36/0.61 (define @t63 () (= @t26 (forall @t18 (or (not @t24) @t23)))) % 0.36/0.61 (define @t64 () (tptp.relation @t57)) % 0.36/0.61 (define @t65 () (tptp.reflexive @t59)) % 0.36/0.61 (define @t66 () (tptp.reflexive @t57)) % 0.36/0.61 (define @t67 () (not @t66)) % 0.36/0.61 (define @t68 () (not @t64)) % 0.36/0.61 (define @t69 () (or @t68 @t67 @t65)) % 0.36/0.61 (define @t70 () (@list true)) % 0.36/0.61 (define @t71 () (@list @t69)) % 0.36/0.61 (define @t72 () (tptp.relation @t59)) % 0.36/0.61 (define @t73 () (or @t68 @t72)) % 0.36/0.61 (define @t74 () (@list false false)) % 0.36/0.61 (define @t75 () (= @t65 @t61)) % 0.36/0.61 (define @t76 () (not @t72)) % 0.36/0.61 (define @t77 () (or @t76 @t75)) % 0.36/0.61 (define @t78 () (not @t61)) % 0.36/0.61 (define @t79 () (@list true false)) % 0.36/0.61 (define @t80 () (tptp.in @t62 @t60)) % 0.36/0.61 (define @t81 () (tptp.ordered_pair @t62 @t62)) % 0.36/0.61 (define @t82 () (tptp.in @t81 @t59)) % 0.36/0.61 (define @t83 () (not @t80)) % 0.36/0.61 (define @t84 () (or @t83 @t82)) % 0.36/0.61 (define @t85 () (@list @t84)) % 0.36/0.61 (define @t86 () (tptp.in @t62 @t58)) % 0.36/0.61 (define @t87 () (tptp.relation_field @t57)) % 0.36/0.61 (define @t88 () (tptp.in @t62 @t87)) % 0.36/0.61 (define @t89 () (and @t88 @t86)) % 0.36/0.61 (define @t90 () (or @t68 @t83 @t89)) % 0.36/0.61 (define @t91 () (not @t89)) % 0.36/0.61 (define @t92 () (@list false)) % 0.36/0.61 (define @t93 () (@list @t89)) % 0.36/0.61 (define @t94 () (forall @t18 (or (not (tptp.in @t2 @t87)) (tptp.in @t22 @t57)))) % 0.36/0.61 (define @t95 () (= @t66 @t94)) % 0.36/0.61 (define @t96 () (or @t68 @t95)) % 0.36/0.61 (define @t97 () (tptp.in @t81 @t57)) % 0.36/0.61 (define @t98 () (not @t88)) % 0.36/0.61 (define @t99 () (or @t98 @t97)) % 0.36/0.61 (define @t100 () (tptp.in @t81 (tptp.cartesian_product2 @t58 @t58))) % 0.36/0.61 (define @t101 () (and @t97 @t100)) % 0.36/0.61 (define @t102 () (= @t82 @t101)) % 0.36/0.61 (define @t103 () (or @t68 @t102)) % 0.36/0.61 (define @t104 () (not @t101)) % 0.36/0.61 (define @t105 () (= @t100 @t86)) % 0.36/0.61 (define @t106 () (not @t105)) % 0.36/0.61 (define @t107 () (and @t86 @t86)) % 0.36/0.61 (define @t108 () (= @t100 @t107)) % 0.36/0.61 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.36/0.61 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.36/0.61 (assume @p3 (forall @t7 (=> @t10 @t9))) % 0.36/0.61 (assume @p4 (forall @t4 (= @t11 (tptp.unordered_pair @t2 @t1)))) % 0.36/0.61 (assume @p5 (forall @t4 (= @t13 @t12))) % 0.36/0.61 (assume @p6 (forall @t4 (= (tptp.set_intersection2 @t1 @t2) (tptp.set_intersection2 @t2 @t1)))) % 0.36/0.61 (assume @p7 (forall @t4 (= @t14 (tptp.unordered_pair @t11 (tptp.singleton @t1))))) % 0.36/0.61 (assume @p8 (forall @t7 (=> @t8 (= @t15 (tptp.set_union2 (tptp.relation_dom @t1) (tptp.relation_rng @t1)))))) % 0.36/0.61 (assume @p9 (forall @t7 (=> @t8 (forall @t18 (= @t17 (tptp.set_intersection2 @t1 @t16)))))) % 0.36/0.61 (assume @p10 true) % 0.36/0.61 (assume @p11 @t20) % 0.36/0.61 (assume @p12 (forall @t7 (exists @t18 (tptp.element @t2 @t1)))) % 0.36/0.61 (assume @p13 (tptp.empty tptp.empty_set)) % 0.36/0.61 (assume @p14 (forall @t4 (not (tptp.empty @t14)))) % 0.36/0.61 (assume @p15 (forall @t4 (=> @t21 (not (tptp.empty @t13))))) % 0.36/0.61 (assume @p16 (forall @t4 (=> @t21 (not (tptp.empty @t12))))) % 0.36/0.61 (assume @p17 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.36/0.61 (assume @p18 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.36/0.61 (assume @p19 @t29) % 0.36/0.61 (assume @p20 (exists @t7 (and @t8 @t5))) % 0.36/0.61 (assume @p21 (exists @t7 @t6)) % 0.36/0.61 (assume @p22 (exists @t7 @t10)) % 0.36/0.61 (assume @p23 (exists @t7 @t21)) % 0.36/0.61 (assume @p24 (exists @t7 @t9)) % 0.36/0.61 (assume @p25 @t33) % 0.36/0.61 (assume @p26 @t38) % 0.36/0.61 (assume @p27 @t42) % 0.36/0.61 (assume @p28 (forall @t7 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.36/0.61 (assume @p29 (forall @t4 (=> @t3 @t43))) % 0.36/0.61 (assume @p30 @t49) % 0.36/0.61 (assume @p31 (forall @t7 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.36/0.61 (assume @p32 (forall @t4 (=> @t43 (or @t50 @t3)))) % 0.36/0.61 (assume @p33 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.36/0.61 (assume @p34 (forall @t4 (not (and @t3 @t50)))) % 0.36/0.61 (assume @p35 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t50)))) % 0.36/0.61 (step @p36 :rule aci_norm :args ((= (or @t52 (or @t51 @t39)) (or @t52 @t51 @t39)))) % 0.36/0.61 (step @p37 :rule bool-impl-elim :args (@t40 @t39)) % 0.36/0.61 (step @p38 :rule refl :args (@t52)) % 0.36/0.61 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t52 @t41))) % 0.36/0.61 (step @p40 :rule trans :premises (@p39 @p36)) % 0.36/0.61 (step @p41 :rule bool-impl-elim :args (@t36 @t41)) % 0.36/0.61 (step @p42 :rule trans :premises (@p41 @p40)) % 0.36/0.61 (step @p43 :rule cong :premises (@p42) :args (@t42)) % 0.36/0.61 (step @p44 :rule eq_resolve :premises (@p27 @p43)) % 0.36/0.61 (step @p45 :rule instantiate :premises (@p44) :args ((@list @t62 @t58 @t57))) % 0.36/0.61 (step @p46 :rule bool-impl-elim :args (@t8 @t63)) % 0.36/0.61 (step @p47 :rule cong :premises (@p46) :args ((forall @t7 (=> @t8 @t63)))) % 0.36/0.61 (step @p48 :rule bool-impl-elim :args (@t24 @t23)) % 0.36/0.61 (step @p49 :rule cong :premises (@p48) :args (@t25)) % 0.36/0.61 (step @p50 :rule refl :args (@t26)) % 0.36/0.61 (step @p51 :rule cong :premises (@p50 @p49) :args (@t27)) % 0.36/0.61 (step @p52 :rule refl :args (@t8)) % 0.36/0.61 (step @p53 :rule cong :premises (@p52 @p51) :args (@t28)) % 0.36/0.61 (step @p54 :rule cong :premises (@p53) :args (@t29)) % 0.36/0.61 (step @p55 :rule trans :premises (@p54 @p47)) % 0.36/0.61 (step @p56 :rule eq_resolve :premises (@p19 @p55)) % 0.36/0.61 (step @p57 :rule instantiate :premises (@p56) :args ((@list @t59))) % 0.36/0.61 (step @p58 :rule bool-impl-elim :args (@t8 @t19)) % 0.36/0.61 (step @p59 :rule cong :premises (@p58) :args (@t20)) % 0.36/0.61 (step @p60 :rule eq_resolve :premises (@p11 @p59)) % 0.36/0.61 (step @p61 :rule instantiate :premises (@p60) :args ((@list @t57 @t58))) % 0.36/0.61 (step @p62 :rule aci_norm :args ((= (or @t54 (or @t53 @t44)) @t55))) % 0.36/0.61 (step @p63 :rule bool-impl-elim :args (@t45 @t44)) % 0.36/0.61 (step @p64 :rule refl :args (@t54)) % 0.36/0.61 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t54 @t46))) % 0.36/0.61 (step @p66 :rule trans :premises (@p65 @p62)) % 0.36/0.61 (step @p67 :rule bool-impl-elim :args (@t47 @t46)) % 0.36/0.61 (step @p68 :rule trans :premises (@p67 @p66)) % 0.36/0.61 (step @p69 :rule cong :premises (@p68) :args (@t48)) % 0.36/0.61 (step @p70 :rule cong :premises (@p69) :args (@t49)) % 0.36/0.61 (step @p71 :rule eq_resolve :premises (@p30 @p70)) % 0.36/0.61 (step @p72 :rule skolemize :premises (@p71)) % 0.36/0.61 (step @p73 :rule bool-double-not-elim :args (@t64)) % 0.36/0.61 (step @p74 :rule refl :args (@t69)) % 0.36/0.61 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t69 (not @t68)))) % 0.36/0.61 (step @p76 :rule cnf_or_neg :args (@t69 0)) % 0.36/0.61 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.36/0.61 (step @p78 :rule reordering :premises (@p77) :args ((or @t64 @t69))) % 0.36/0.61 (step @p79 :rule chain_m_resolution :premises (@p78 @p72) :args (@t64 @t70 @t71)) % 0.36/0.61 (step @p80 :rule cnf_or_pos :args (@t73)) % 0.36/0.61 (step @p81 :rule reordering :premises (@p80) :args ((or @t68 @t72 (not @t73)))) % 0.36/0.61 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p61) :args (@t72 @t74 (@list @t64 @t73))) % 0.36/0.61 (step @p83 :rule cnf_or_pos :args (@t77)) % 0.36/0.61 (step @p84 :rule reordering :premises (@p83) :args ((or @t76 @t75 (not @t77)))) % 0.36/0.61 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p57) :args (@t75 @t74 (@list @t72 @t77))) % 0.36/0.61 (step @p86 :rule cnf_or_neg :args (@t69 2)) % 0.36/0.61 (step @p87 :rule chain_m_resolution :premises (@p86 @p72) :args ((not @t65) @t70 @t71)) % 0.36/0.61 (step @p88 :rule cnf_equiv_pos2 :args (@t75)) % 0.36/0.61 (step @p89 :rule reordering :premises (@p88) :args ((or @t65 @t78 (not @t75)))) % 0.36/0.61 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p85) :args (@t78 @t79 (@list @t65 @t75))) % 0.36/0.61 (step @p91 :rule skolemize :premises (@p90)) % 0.36/0.61 (step @p92 :rule bool-double-not-elim :args (@t80)) % 0.36/0.61 (step @p93 :rule refl :args (@t84)) % 0.36/0.61 (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or @t84 (not @t83)))) % 0.36/0.61 (step @p95 :rule cnf_or_neg :args (@t84 0)) % 0.36/0.61 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 0.36/0.61 (step @p97 :rule reordering :premises (@p96) :args ((or @t80 @t84))) % 0.36/0.61 (step @p98 :rule chain_m_resolution :premises (@p97 @p91) :args (@t80 @t70 @t85)) % 0.36/0.61 (step @p99 :rule cnf_or_pos :args (@t90)) % 0.36/0.61 (step @p100 :rule reordering :premises (@p99) :args ((or @t68 @t83 @t89 (not @t90)))) % 0.36/0.61 (step @p101 :rule chain_m_resolution :premises (@p100 @p79 @p98 @p45) :args (@t89 (@list false false false) (@list @t64 @t80 @t90))) % 0.36/0.61 (step @p102 :rule cnf_and_pos :args (@t89 1)) % 0.36/0.61 (step @p103 :rule reordering :premises (@p102) :args ((or @t86 @t91))) % 0.36/0.61 (step @p104 :rule chain_m_resolution :premises (@p103 @p101) :args (@t86 @t92 @t93)) % 0.36/0.61 (step @p105 :rule instantiate :premises (@p56) :args ((@list @t57))) % 0.36/0.61 (step @p106 :rule cnf_or_pos :args (@t96)) % 0.36/0.61 (step @p107 :rule reordering :premises (@p106) :args ((or @t68 @t95 (not @t96)))) % 0.36/0.61 (step @p108 :rule chain_m_resolution :premises (@p107 @p79 @p105) :args (@t95 @t74 (@list @t64 @t96))) % 0.36/0.61 (step @p109 :rule bool-double-not-elim :args (@t66)) % 0.36/0.61 (step @p110 :rule nary_cong :premises (@p74 @p109) :args ((or @t69 (not @t67)))) % 0.36/0.61 (step @p111 :rule cnf_or_neg :args (@t69 1)) % 0.36/0.61 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 0.36/0.61 (step @p113 :rule reordering :premises (@p112) :args ((or @t66 @t69))) % 0.36/0.61 (step @p114 :rule chain_m_resolution :premises (@p113 @p72) :args (@t66 @t70 @t71)) % 0.36/0.61 (step @p115 :rule cnf_equiv_pos1 :args (@t95)) % 0.36/0.61 (step @p116 :rule reordering :premises (@p115) :args ((or @t67 @t94 (not @t95)))) % 0.36/0.61 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p108) :args (@t94 @t74 (@list @t66 @t95))) % 0.36/0.61 (step @p118 :rule instantiate :premises (@p117) :args ((@list @t62))) % 0.36/0.61 (step @p119 :rule cnf_and_pos :args (@t89 0)) % 0.36/0.61 (step @p120 :rule reordering :premises (@p119) :args ((or @t88 @t91))) % 0.36/0.61 (step @p121 :rule chain_m_resolution :premises (@p120 @p101) :args (@t88 @t92 @t93)) % 0.36/0.61 (step @p122 :rule cnf_or_pos :args (@t99)) % 0.36/0.61 (step @p123 :rule reordering :premises (@p122) :args ((or @t97 @t98 (not @t99)))) % 0.36/0.61 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p118) :args (@t97 @t74 (@list @t88 @t99))) % 0.36/0.61 (step @p125 :rule bool-impl-elim :args (@t36 @t35)) % 0.36/0.61 (step @p126 :rule cong :premises (@p125) :args (@t38)) % 0.36/0.61 (step @p127 :rule eq_resolve :premises (@p26 @p126)) % 0.36/0.61 (step @p128 :rule instantiate :premises (@p127) :args ((@list @t81 @t58 @t57))) % 0.36/0.61 (step @p129 :rule cnf_or_pos :args (@t103)) % 0.36/0.61 (step @p130 :rule reordering :premises (@p129) :args ((or @t68 @t102 (not @t103)))) % 0.36/0.61 (step @p131 :rule chain_m_resolution :premises (@p130 @p79 @p128) :args (@t102 @t74 (@list @t64 @t103))) % 0.36/0.61 (step @p132 :rule cnf_or_neg :args (@t84 1)) % 0.36/0.61 (step @p133 :rule chain_m_resolution :premises (@p132 @p91) :args ((not @t82) @t70 @t85)) % 0.36/0.61 (step @p134 :rule cnf_equiv_pos2 :args (@t102)) % 0.36/0.61 (step @p135 :rule reordering :premises (@p134) :args ((or @t82 @t104 (not @t102)))) % 0.36/0.61 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p131) :args (@t104 @t79 (@list @t82 @t102))) % 0.36/0.61 (step @p137 :rule cnf_and_neg :args (@t101)) % 0.36/0.61 (step @p138 :rule chain_m_resolution :premises (@p137 @p136 @p124) :args ((not @t100) @t79 (@list @t101 @t97))) % 0.36/0.61 (step @p139 :rule cnf_equiv_pos2 :args (@t105)) % 0.36/0.61 (step @p140 :rule reordering :premises (@p139) :args ((or @t100 (not @t86) @t106))) % 0.36/0.61 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p104) :args (@t106 @t79 (@list @t100 @t86))) % 0.36/0.61 (step @p142 :rule aci_norm :args ((= @t107 @t86))) % 0.36/0.61 (step @p143 :rule refl :args (@t100)) % 0.36/0.61 (step @p144 :rule cong :premises (@p143 @p142) :args (@t108)) % 0.36/0.61 (step @p145 :rule refl :args (@t33)) % 0.36/0.61 (step @p146 :rule cong :premises (@p145 @p144) :args ((=> @t33 @t108))) % 0.36/0.61 (assume-push @p154 @t33) % 0.36/0.61 (step @p148 :rule instantiate :premises (@p25) :args ((@list @t62 @t62 @t58 @t58))) % 0.36/0.61 (step-pop @p155 :rule scope :premises (@p148)) % 0.36/0.61 (step @p149 :rule process_scope :premises (@p155) :args (@t108)) % 0.36/0.61 (step @p151 :rule eq_resolve :premises (@p149 @p146)) % 0.36/0.61 (step @p152 :rule implies_elim :premises (@p151)) % 0.36/0.61 (step @p153 false :rule chain_m_resolution :premises (@p152 @p141 @p25) :args (false @t79 (@list @t105 @t33))) % 0.36/0.61 ) % 0.36/0.61 % SZS output end Proof % 0.36/0.61 % cvc5 exiting %------------------------------------------------------------------------------