%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU242+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 08:51:06 AM UTC 2026 % Result : Theorem 0.36s 0.59s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU242+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n010.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 16:46:55 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.59 % SZS status Theorem % 0.36/0.59 % SZS output start Proof % 0.36/0.59 ( % 0.36/0.59 (declare-sort $$unsorted 0) % 0.36/0.59 (declare-const tptp.empty_set $$unsorted) % 0.36/0.59 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.function (-> $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.36/0.59 (define @t1 () (@var "A" $$unsorted)) % 0.36/0.59 (define @t2 () (@var "B" $$unsorted)) % 0.36/0.59 (define @t3 () (tptp.in @t1 @t2)) % 0.36/0.59 (define @t4 () (@list @t1 @t2)) % 0.36/0.59 (define @t5 () (tptp.function @t1)) % 0.36/0.59 (define @t6 () (tptp.empty @t1)) % 0.36/0.59 (define @t7 () (@list @t1)) % 0.36/0.59 (define @t8 () (tptp.relation @t1)) % 0.36/0.59 (define @t9 () (and @t8 @t5 (tptp.one_to_one @t1))) % 0.36/0.59 (define @t10 () (and @t8 @t6 @t5)) % 0.36/0.59 (define @t11 () (tptp.unordered_pair @t1 @t2)) % 0.36/0.59 (define @t12 () (tptp.set_union2 @t2 @t1)) % 0.36/0.59 (define @t13 () (tptp.set_union2 @t1 @t2)) % 0.36/0.59 (define @t14 () (tptp.relation_field @t1)) % 0.36/0.59 (define @t15 () (tptp.connected @t1)) % 0.36/0.59 (define @t16 () (= @t15 (tptp.is_connected_in @t1 @t14))) % 0.36/0.59 (define @t17 () (forall @t7 (=> @t8 @t16))) % 0.36/0.59 (define @t18 () (tptp.ordered_pair @t1 @t2)) % 0.36/0.59 (define @t19 () (@var "C" $$unsorted)) % 0.36/0.59 (define @t20 () (@var "D" $$unsorted)) % 0.36/0.59 (define @t21 () (tptp.ordered_pair @t20 @t19)) % 0.36/0.59 (define @t22 () (tptp.in @t21 @t1)) % 0.36/0.59 (define @t23 () (not @t22)) % 0.36/0.59 (define @t24 () (tptp.ordered_pair @t19 @t20)) % 0.36/0.59 (define @t25 () (tptp.in @t24 @t1)) % 0.36/0.59 (define @t26 () (not @t25)) % 0.36/0.59 (define @t27 () (= @t19 @t20)) % 0.36/0.59 (define @t28 () (not @t27)) % 0.36/0.59 (define @t29 () (tptp.in @t20 @t2)) % 0.36/0.59 (define @t30 () (tptp.in @t19 @t2)) % 0.36/0.59 (define @t31 () (@list @t19 @t20)) % 0.36/0.59 (define @t32 () (forall @t31 (not (and @t30 @t29 @t28 @t26 @t23)))) % 0.36/0.59 (define @t33 () (tptp.is_connected_in @t1 @t2)) % 0.36/0.59 (define @t34 () (= @t33 @t32)) % 0.36/0.59 (define @t35 () (@list @t2)) % 0.36/0.59 (define @t36 () (forall @t35 @t34)) % 0.36/0.59 (define @t37 () (=> @t8 @t36)) % 0.36/0.59 (define @t38 () (forall @t7 @t37)) % 0.36/0.59 (define @t39 () (not @t6)) % 0.36/0.59 (define @t40 () (tptp.ordered_pair @t19 @t2)) % 0.36/0.59 (define @t41 () (tptp.in @t40 @t1)) % 0.36/0.59 (define @t42 () (not @t41)) % 0.36/0.59 (define @t43 () (tptp.ordered_pair @t2 @t19)) % 0.36/0.59 (define @t44 () (tptp.in @t43 @t1)) % 0.36/0.59 (define @t45 () (not @t44)) % 0.36/0.59 (define @t46 () (= @t2 @t19)) % 0.36/0.59 (define @t47 () (not @t46)) % 0.36/0.59 (define @t48 () (tptp.in @t19 @t14)) % 0.36/0.59 (define @t49 () (tptp.in @t2 @t14)) % 0.36/0.59 (define @t50 () (@list @t2 @t19)) % 0.36/0.59 (define @t51 () (forall @t50 (not (and @t49 @t48 @t47 @t45 @t42)))) % 0.36/0.59 (define @t52 () (= @t15 @t51)) % 0.36/0.59 (define @t53 () (=> @t8 @t52)) % 0.36/0.59 (define @t54 () (forall @t7 @t53)) % 0.36/0.59 (define @t55 () (not @t54)) % 0.36/0.59 (define @t56 () (tptp.element @t1 @t2)) % 0.36/0.59 (define @t57 () (tptp.empty @t2)) % 0.36/0.59 (define @t58 () (@var "BOUND_VARIABLE_7587" $$unsorted)) % 0.36/0.59 (define @t59 () (= (tptp.is_connected_in @t1 @t58) (forall @t31 (or (not (tptp.in @t19 @t58)) (not (tptp.in @t20 @t58)) @t27 @t25 @t22)))) % 0.36/0.59 (define @t60 () (not @t8)) % 0.36/0.59 (define @t61 () (or @t60 @t59)) % 0.36/0.59 (define @t62 () (@list @t58)) % 0.36/0.59 (define @t63 () (forall @t62 @t61)) % 0.36/0.59 (define @t64 () (forall @t62 @t59)) % 0.36/0.59 (define @t65 () (or @t60 @t64)) % 0.36/0.59 (define @t66 () (not @t29)) % 0.36/0.59 (define @t67 () (not @t30)) % 0.36/0.59 (define @t68 () (forall @t35 (= @t33 (forall @t31 (or @t67 @t66 @t27 @t25 @t22))))) % 0.36/0.59 (define @t69 () (not @t23)) % 0.36/0.59 (define @t70 () (not @t26)) % 0.36/0.59 (define @t71 () (not @t28)) % 0.36/0.59 (define @t72 () (or @t67 @t66 @t71 @t70 @t69)) % 0.36/0.59 (define @t73 () (not @t48)) % 0.36/0.59 (define @t74 () (not @t49)) % 0.36/0.59 (define @t75 () (= @t15 (forall @t50 (or @t74 @t73 @t46 @t44 @t41)))) % 0.36/0.59 (define @t76 () (@quantifiers_skolemize (forall @t7 (or @t60 @t75)) 0)) % 0.36/0.59 (define @t77 () (tptp.relation_field @t76)) % 0.36/0.59 (define @t78 () (not @t42)) % 0.36/0.59 (define @t79 () (not @t45)) % 0.36/0.59 (define @t80 () (not @t47)) % 0.36/0.59 (define @t81 () (or @t74 @t73 @t80 @t79 @t78)) % 0.36/0.59 (define @t82 () (tptp.relation @t76)) % 0.36/0.59 (define @t83 () (not (tptp.in @t19 @t77))) % 0.36/0.59 (define @t84 () (forall @t50 (or (not (tptp.in @t2 @t77)) @t83 @t46 (tptp.in @t43 @t76) (tptp.in @t40 @t76)))) % 0.36/0.59 (define @t85 () (tptp.connected @t76)) % 0.36/0.59 (define @t86 () (= @t85 @t84)) % 0.36/0.59 (define @t87 () (not @t82)) % 0.36/0.59 (define @t88 () (or @t87 @t86)) % 0.36/0.59 (define @t89 () (@list true)) % 0.36/0.59 (define @t90 () (@list @t88)) % 0.36/0.59 (define @t91 () (forall @t31 (or @t83 (not (tptp.in @t20 @t77)) @t27 (tptp.in @t24 @t76) (tptp.in @t21 @t76)))) % 0.36/0.59 (define @t92 () (tptp.is_connected_in @t76 @t77)) % 0.36/0.59 (define @t93 () (= @t92 @t91)) % 0.36/0.59 (define @t94 () (or @t87 @t93)) % 0.36/0.59 (define @t95 () (@list false false)) % 0.36/0.59 (define @t96 () (= @t85 @t92)) % 0.36/0.59 (define @t97 () (or @t87 @t96)) % 0.36/0.59 (define @t98 () (not @t96)) % 0.36/0.59 (define @t99 () (not @t92)) % 0.36/0.59 (define @t100 () (@var "BOUND_VARIABLE_8894" $$unsorted)) % 0.36/0.59 (define @t101 () (@var "BOUND_VARIABLE_8895" $$unsorted)) % 0.36/0.59 (define @t102 () (@list @t100 @t101)) % 0.36/0.59 (define @t103 () (not @t93)) % 0.36/0.59 (define @t104 () (not @t91)) % 0.36/0.59 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.36/0.59 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.36/0.59 (assume @p3 (forall @t7 (=> @t10 @t9))) % 0.36/0.59 (assume @p4 (forall @t4 (= @t11 (tptp.unordered_pair @t2 @t1)))) % 0.36/0.59 (assume @p5 (forall @t4 (= @t13 @t12))) % 0.36/0.59 (assume @p6 @t17) % 0.36/0.59 (assume @p7 (forall @t4 (= @t18 (tptp.unordered_pair @t11 (tptp.singleton @t1))))) % 0.36/0.59 (assume @p8 (forall @t7 (=> @t8 (= @t14 (tptp.set_union2 (tptp.relation_dom @t1) (tptp.relation_rng @t1)))))) % 0.36/0.59 (assume @p9 @t38) % 0.36/0.59 (assume @p10 true) % 0.36/0.59 (assume @p11 (forall @t7 (exists @t35 (tptp.element @t2 @t1)))) % 0.36/0.59 (assume @p12 (tptp.empty tptp.empty_set)) % 0.36/0.59 (assume @p13 (forall @t4 (not (tptp.empty @t18)))) % 0.36/0.59 (assume @p14 (forall @t4 (=> @t39 (not (tptp.empty @t13))))) % 0.36/0.59 (assume @p15 (forall @t4 (=> @t39 (not (tptp.empty @t12))))) % 0.36/0.59 (assume @p16 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.36/0.59 (assume @p17 @t55) % 0.36/0.59 (assume @p18 (exists @t7 (and @t8 @t5))) % 0.36/0.59 (assume @p19 (exists @t7 @t6)) % 0.36/0.59 (assume @p20 (exists @t7 @t10)) % 0.36/0.59 (assume @p21 (exists @t7 @t39)) % 0.36/0.59 (assume @p22 (exists @t7 @t9)) % 0.36/0.59 (assume @p23 (forall @t7 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.36/0.59 (assume @p24 (forall @t4 (=> @t3 @t56))) % 0.36/0.59 (assume @p25 (forall @t4 (=> @t56 (or @t57 @t3)))) % 0.36/0.59 (assume @p26 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.36/0.59 (assume @p27 (forall @t4 (not (and @t3 @t57)))) % 0.36/0.59 (assume @p28 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t57)))) % 0.36/0.59 (step @p29 :rule quant-merge-prenex :args ((= (forall @t7 @t63) (forall (@list @t1 @t58) @t61)))) % 0.36/0.59 (step @p30 :rule alpha_equiv :args (@t64 (@list @t58) (@list @t2))) % 0.36/0.59 (step @p31 :rule refl :args (@t60)) % 0.36/0.59 (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t65)) % 0.36/0.59 (step @p33 :rule quant-miniscope-or :args ((= @t63 @t65))) % 0.36/0.59 (step @p34 :rule trans :premises (@p33 @p32)) % 0.36/0.59 (step @p35 :rule symm :premises (@p34)) % 0.36/0.59 (step @p36 :rule cong :premises (@p35) :args ((forall @t7 (or @t60 @t68)))) % 0.36/0.59 (step @p37 :rule trans :premises (@p36 @p29)) % 0.36/0.59 (step @p38 :rule bool-impl-elim :args (@t8 @t68)) % 0.36/0.59 (step @p39 :rule cong :premises (@p38) :args ((forall @t7 (=> @t8 @t68)))) % 0.36/0.59 (step @p40 :rule trans :premises (@p39 @p37)) % 0.36/0.59 (step @p41 :rule bool-double-not-elim :args (@t22)) % 0.36/0.59 (step @p42 :rule bool-double-not-elim :args (@t25)) % 0.36/0.59 (step @p43 :rule bool-double-not-elim :args (@t27)) % 0.36/0.59 (step @p44 :rule refl :args (@t66)) % 0.36/0.59 (step @p45 :rule refl :args (@t67)) % 0.36/0.59 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43 @p42 @p41) :args (@t72)) % 0.36/0.59 (step @p47 :rule aci_norm :args ((= (or @t67 (or @t66 (or @t71 (or @t70 @t69)))) @t72))) % 0.36/0.59 (step @p48 :rule trans :premises (@p47 @p46)) % 0.36/0.59 (step @p49 :rule bool-and-de-morgan :args (@t26 @t23 true)) % 0.36/0.59 (step @p50 :rule refl :args (@t71)) % 0.36/0.59 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t71 (not (and @t26 @t23))))) % 0.36/0.59 (step @p52 :rule bool-and-de-morgan :args (@t28 @t26 (and @t23))) % 0.36/0.59 (step @p53 :rule trans :premises (@p52 @p51)) % 0.36/0.59 (step @p54 :rule nary_cong :premises (@p44 @p53) :args ((or @t66 (not (and @t28 @t26 @t23))))) % 0.36/0.59 (step @p55 :rule bool-and-de-morgan :args (@t29 @t28 (and @t26 @t23))) % 0.36/0.59 (step @p56 :rule trans :premises (@p55 @p54)) % 0.36/0.59 (step @p57 :rule nary_cong :premises (@p45 @p56) :args ((or @t67 (not (and @t29 @t28 @t26 @t23))))) % 0.36/0.59 (step @p58 :rule bool-and-de-morgan :args (@t30 @t29 (and @t28 @t26 @t23))) % 0.36/0.59 (step @p59 :rule trans :premises (@p58 @p57)) % 0.36/0.59 (step @p60 :rule trans :premises (@p59 @p48)) % 0.36/0.59 (step @p61 :rule cong :premises (@p60) :args (@t32)) % 0.36/0.59 (step @p62 :rule refl :args (@t33)) % 0.36/0.59 (step @p63 :rule cong :premises (@p62 @p61) :args (@t34)) % 0.36/0.59 (step @p64 :rule cong :premises (@p63) :args (@t36)) % 0.36/0.59 (step @p65 :rule refl :args (@t8)) % 0.36/0.59 (step @p66 :rule cong :premises (@p65 @p64) :args (@t37)) % 0.36/0.59 (step @p67 :rule cong :premises (@p66) :args (@t38)) % 0.36/0.59 (step @p68 :rule trans :premises (@p67 @p40)) % 0.36/0.59 (step @p69 :rule eq_resolve :premises (@p9 @p68)) % 0.36/0.59 (step @p70 :rule instantiate :premises (@p69) :args ((@list @t76 @t77))) % 0.36/0.59 (step @p71 :rule bool-impl-elim :args (@t8 @t75)) % 0.36/0.59 (step @p72 :rule cong :premises (@p71) :args ((forall @t7 (=> @t8 @t75)))) % 0.36/0.59 (step @p73 :rule bool-double-not-elim :args (@t41)) % 0.36/0.59 (step @p74 :rule bool-double-not-elim :args (@t44)) % 0.36/0.59 (step @p75 :rule bool-double-not-elim :args (@t46)) % 0.36/0.59 (step @p76 :rule refl :args (@t73)) % 0.36/0.59 (step @p77 :rule refl :args (@t74)) % 0.36/0.59 (step @p78 :rule nary_cong :premises (@p77 @p76 @p75 @p74 @p73) :args (@t81)) % 0.36/0.59 (step @p79 :rule aci_norm :args ((= (or @t74 (or @t73 (or @t80 (or @t79 @t78)))) @t81))) % 0.36/0.59 (step @p80 :rule trans :premises (@p79 @p78)) % 0.36/0.59 (step @p81 :rule bool-and-de-morgan :args (@t45 @t42 true)) % 0.36/0.59 (step @p82 :rule refl :args (@t80)) % 0.36/0.59 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t80 (not (and @t45 @t42))))) % 0.36/0.59 (step @p84 :rule bool-and-de-morgan :args (@t47 @t45 (and @t42))) % 0.36/0.59 (step @p85 :rule trans :premises (@p84 @p83)) % 0.36/0.59 (step @p86 :rule nary_cong :premises (@p76 @p85) :args ((or @t73 (not (and @t47 @t45 @t42))))) % 0.36/0.59 (step @p87 :rule bool-and-de-morgan :args (@t48 @t47 (and @t45 @t42))) % 0.36/0.59 (step @p88 :rule trans :premises (@p87 @p86)) % 0.36/0.59 (step @p89 :rule nary_cong :premises (@p77 @p88) :args ((or @t74 (not (and @t48 @t47 @t45 @t42))))) % 0.36/0.60 (step @p90 :rule bool-and-de-morgan :args (@t49 @t48 (and @t47 @t45 @t42))) % 0.36/0.60 (step @p91 :rule trans :premises (@p90 @p89)) % 0.36/0.60 (step @p92 :rule trans :premises (@p91 @p80)) % 0.36/0.60 (step @p93 :rule cong :premises (@p92) :args (@t51)) % 0.36/0.60 (step @p94 :rule refl :args (@t15)) % 0.36/0.60 (step @p95 :rule cong :premises (@p94 @p93) :args (@t52)) % 0.36/0.60 (step @p96 :rule cong :premises (@p65 @p95) :args (@t53)) % 0.36/0.60 (step @p97 :rule cong :premises (@p96) :args (@t54)) % 0.36/0.60 (step @p98 :rule trans :premises (@p97 @p72)) % 0.36/0.60 (step @p99 :rule cong :premises (@p98) :args (@t55)) % 0.36/0.60 (step @p100 :rule eq_resolve :premises (@p17 @p99)) % 0.36/0.60 (step @p101 :rule skolemize :premises (@p100)) % 0.36/0.60 (step @p102 :rule bool-double-not-elim :args (@t82)) % 0.36/0.60 (step @p103 :rule refl :args (@t88)) % 0.36/0.60 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t88 (not @t87)))) % 0.36/0.60 (step @p105 :rule cnf_or_neg :args (@t88 0)) % 0.36/0.60 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.36/0.60 (step @p107 :rule reordering :premises (@p106) :args ((or @t82 @t88))) % 0.36/0.60 (step @p108 :rule chain_m_resolution :premises (@p107 @p101) :args (@t82 @t89 @t90)) % 0.36/0.60 (step @p109 :rule cnf_or_pos :args (@t94)) % 0.36/0.60 (step @p110 :rule reordering :premises (@p109) :args ((or @t87 @t93 (not @t94)))) % 0.36/0.60 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p70) :args (@t93 @t95 (@list @t82 @t94))) % 0.36/0.60 (step @p112 :rule bool-impl-elim :args (@t8 @t16)) % 0.36/0.60 (step @p113 :rule cong :premises (@p112) :args (@t17)) % 0.36/0.60 (step @p114 :rule eq_resolve :premises (@p6 @p113)) % 0.36/0.60 (step @p115 :rule instantiate :premises (@p114) :args ((@list @t76))) % 0.36/0.60 (step @p116 :rule cnf_or_pos :args (@t97)) % 0.36/0.60 (step @p117 :rule reordering :premises (@p116) :args ((or @t87 @t96 (not @t97)))) % 0.36/0.60 (step @p118 :rule chain_m_resolution :premises (@p117 @p108 @p115) :args (@t96 @t95 (@list @t82 @t97))) % 0.36/0.60 (step @p119 :rule cnf_or_neg :args (@t88 1)) % 0.36/0.60 (step @p120 :rule chain_m_resolution :premises (@p119 @p101) :args ((not @t86) @t89 @t90)) % 0.36/0.60 (step @p121 :rule cnf_equiv_neg1 :args (@t86)) % 0.36/0.60 (step @p122 :rule reordering :premises (@p121) :args ((or @t85 @t84 @t86))) % 0.36/0.60 (step @p123 :rule cnf_equiv_pos2 :args (@t96)) % 0.36/0.60 (step @p124 :rule reordering :premises (@p123) :args ((or @t85 @t99 @t98))) % 0.36/0.60 (step @p125 :rule alpha_equiv :args ((forall (@list @t100 @t101) (or (not (tptp.in @t100 @t77)) (not (tptp.in @t101 @t77)) (= @t100 @t101) (tptp.in (tptp.ordered_pair @t100 @t101) @t76) (tptp.in (tptp.ordered_pair @t101 @t100) @t76))) @t102 (@list @t19 @t20))) % 0.36/0.60 (step @p126 :rule alpha_equiv :args (@t84 (@list @t2 @t19) @t102)) % 0.36/0.60 (step @p127 :rule trans :premises (@p126 @p125)) % 0.36/0.60 (step @p128 :rule equiv_elim1 :premises (@p127)) % 0.36/0.60 (step @p129 :rule cnf_equiv_pos2 :args (@t93)) % 0.36/0.60 (step @p130 :rule reordering :premises (@p129) :args ((or @t92 @t104 @t103))) % 0.36/0.60 (step @p131 :rule chain_m_resolution :premises (@p130 @p111 @p128 @p124 @p118 @p122 @p120) :args (@t85 (@list false false true false false true) (@list @t93 @t91 @t92 @t96 @t84 @t86))) % 0.36/0.60 (step @p132 :rule cnf_equiv_pos1 :args (@t96)) % 0.36/0.60 (step @p133 :rule reordering :premises (@p132) :args ((or (not @t85) @t92 @t98))) % 0.36/0.60 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p118) :args (@t92 @t95 (@list @t85 @t96))) % 0.36/0.60 (step @p135 :rule cnf_equiv_neg2 :args (@t86)) % 0.36/0.60 (step @p136 :rule chain_m_resolution :premises (@p135 @p120 @p131) :args ((not @t84) (@list true false) (@list @t86 @t85))) % 0.36/0.60 (step @p137 :rule equiv_elim2 :premises (@p127)) % 0.36/0.60 (step @p138 :rule chain_m_resolution :premises (@p137 @p136) :args (@t104 @t89 (@list @t84))) % 0.36/0.60 (step @p139 :rule cnf_equiv_pos1 :args (@t93)) % 0.36/0.60 (step @p140 :rule reordering :premises (@p139) :args ((or @t99 @t91 @t103))) % 0.36/0.60 (step @p141 false :rule chain_m_resolution :premises (@p140 @p138 @p134 @p111) :args (false (@list true false false) (@list @t91 @t92 @t93))) % 0.36/0.60 ) % 0.36/0.60 % SZS output end Proof % 0.36/0.60 % cvc5 exiting %------------------------------------------------------------------------------