%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU151+2 : 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 : n005.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 08:50:44 AM UTC 2026 % Result : Theorem 28.27s 28.55s % Output : Proof 28.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU151+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n005.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 16:32:33 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.52 %----Proving TF0_NAR, FOF, or CNF % 28.27/28.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.27/28.55 --- Run --no-e-matching --full-saturate-quant at 6... % 28.27/28.55 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.27/28.55 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.27/28.55 % SZS status Theorem % 28.27/28.55 % SZS output start Proof % 28.27/28.55 ( % 28.27/28.55 (declare-sort $$unsorted 0) % 28.27/28.55 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 28.27/28.55 (declare-const tptp.empty (-> $$unsorted Bool)) % 28.27/28.55 (declare-const tptp.empty_set $$unsorted) % 28.27/28.55 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 28.27/28.55 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 28.27/28.55 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 28.27/28.55 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 28.27/28.55 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 28.27/28.55 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 28.27/28.55 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 28.27/28.55 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 28.27/28.55 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 28.27/28.55 (define @t1 () (@var "A" $$unsorted)) % 28.27/28.55 (define @t2 () (@var "B" $$unsorted)) % 28.27/28.55 (define @t3 () (not (tptp.in @t2 @t1))) % 28.27/28.55 (define @t4 () (tptp.in @t1 @t2)) % 28.27/28.55 (define @t5 () (@list @t1 @t2)) % 28.27/28.55 (define @t6 () (tptp.proper_subset @t2 @t1)) % 28.27/28.55 (define @t7 () (tptp.proper_subset @t1 @t2)) % 28.27/28.55 (define @t8 () (tptp.unordered_pair @t1 @t2)) % 28.27/28.55 (define @t9 () (tptp.set_union2 @t2 @t1)) % 28.27/28.55 (define @t10 () (tptp.set_union2 @t1 @t2)) % 28.27/28.55 (define @t11 () (tptp.set_intersection2 @t1 @t2)) % 28.27/28.55 (define @t12 () (tptp.subset @t1 @t2)) % 28.27/28.55 (define @t13 () (= @t1 @t2)) % 28.27/28.55 (define @t14 () (@var "C" $$unsorted)) % 28.27/28.55 (define @t15 () (tptp.in @t14 @t2)) % 28.27/28.55 (define @t16 () (@list @t14)) % 28.27/28.55 (define @t17 () (tptp.singleton @t1)) % 28.27/28.55 (define @t18 () (= @t1 tptp.empty_set)) % 28.27/28.55 (define @t19 () (@list @t1)) % 28.27/28.55 (define @t20 () (@var "D" $$unsorted)) % 28.27/28.55 (define @t21 () (or (= @t20 @t1) (= @t20 @t2))) % 28.27/28.55 (define @t22 () (tptp.in @t20 @t14)) % 28.27/28.55 (define @t23 () (= @t22 @t21)) % 28.27/28.55 (define @t24 () (@list @t20)) % 28.27/28.55 (define @t25 () (forall @t24 @t23)) % 28.27/28.55 (define @t26 () (= (= @t14 @t8) @t25)) % 28.27/28.55 (define @t27 () (@list @t1 @t2 @t14)) % 28.27/28.55 (define @t28 () (forall @t27 @t26)) % 28.27/28.55 (define @t29 () (tptp.in @t20 @t2)) % 28.27/28.55 (define @t30 () (tptp.in @t20 @t1)) % 28.27/28.55 (define @t31 () (tptp.in @t14 @t1)) % 28.27/28.55 (define @t32 () (tptp.set_difference @t1 @t2)) % 28.27/28.55 (define @t33 () (tptp.disjoint @t1 @t2)) % 28.27/28.55 (define @t34 () (not @t13)) % 28.27/28.55 (define @t35 () (tptp.empty @t1)) % 28.27/28.55 (define @t36 () (not @t35)) % 28.27/28.55 (define @t37 () (tptp.singleton @t2)) % 28.27/28.55 (define @t38 () (= @t1 @t20)) % 28.27/28.55 (define @t39 () (not @t38)) % 28.27/28.55 (define @t40 () (= @t1 @t14)) % 28.27/28.55 (define @t41 () (not @t40)) % 28.27/28.55 (define @t42 () (= @t8 (tptp.unordered_pair @t14 @t20))) % 28.27/28.55 (define @t43 () (@list @t1 @t2 @t14 @t20)) % 28.27/28.55 (define @t44 () (forall @t43 (not (and @t42 @t41 @t39)))) % 28.27/28.55 (define @t45 () (not @t44)) % 28.27/28.55 (define @t46 () (tptp.set_intersection2 @t2 @t14)) % 28.27/28.55 (define @t47 () (tptp.subset @t1 @t14)) % 28.27/28.55 (define @t48 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 28.27/28.55 (define @t49 () (and @t31 @t15)) % 28.27/28.55 (define @t50 () (not @t33)) % 28.27/28.55 (define @t51 () (tptp.in @t14 @t11)) % 28.27/28.55 (define @t52 () (tptp.empty @t2)) % 28.27/28.55 (define @t53 () (= @t17 (tptp.unordered_pair @t2 @t14))) % 28.27/28.55 (define @t54 () (not @t42)) % 28.27/28.55 (define @t55 () (forall @t43 (or @t54 @t40 @t38))) % 28.27/28.55 (define @t56 () (@quantifiers_skolemize @t55 1)) % 28.27/28.55 (define @t57 () (@quantifiers_skolemize @t55 0)) % 28.27/28.55 (define @t58 () (tptp.unordered_pair @t57 @t56)) % 28.27/28.55 (define @t59 () (tptp.in @t20 @t58)) % 28.27/28.55 (define @t60 () (forall @t24 (= @t59 (or (= @t20 @t57) (= @t20 @t56))))) % 28.27/28.55 (define @t61 () (or (= @t57 @t20) (= @t56 @t20))) % 28.27/28.55 (define @t62 () (= @t59 @t61)) % 28.27/28.55 (define @t63 () (forall @t24 @t62)) % 28.27/28.55 (define @t64 () (= (= @t58 @t58) @t63)) % 28.27/28.55 (define @t65 () (forall @t27 (= (= @t8 @t14) (forall @t24 (= @t22 (or @t38 (= @t2 @t20))))))) % 28.27/28.55 (define @t66 () (@list false)) % 28.27/28.55 (define @t67 () (@list @t65)) % 28.27/28.55 (define @t68 () (tptp.in @t57 @t58)) % 28.27/28.55 (define @t69 () (= @t57 @t56)) % 28.27/28.55 (define @t70 () (or (= @t57 @t57) @t69)) % 28.27/28.55 (define @t71 () (= @t68 @t70)) % 28.27/28.55 (define @t72 () (@list @t57)) % 28.27/28.55 (define @t73 () (not @t39)) % 28.27/28.55 (define @t74 () (not @t41)) % 28.27/28.55 (define @t75 () (or @t54 @t74 @t73)) % 28.27/28.55 (define @t76 () (@quantifiers_skolemize @t55 3)) % 28.27/28.55 (define @t77 () (= @t57 @t76)) % 28.27/28.55 (define @t78 () (@quantifiers_skolemize @t55 2)) % 28.27/28.55 (define @t79 () (= @t57 @t78)) % 28.27/28.55 (define @t80 () (tptp.unordered_pair @t78 @t76)) % 28.27/28.55 (define @t81 () (= @t58 @t80)) % 28.27/28.55 (define @t82 () (not @t81)) % 28.27/28.55 (define @t83 () (or @t82 @t79 @t77)) % 28.27/28.55 (define @t84 () (@list true)) % 28.27/28.55 (define @t85 () (@list @t83)) % 28.27/28.55 (define @t86 () (or @t79 @t77)) % 28.27/28.55 (define @t87 () (not @t86)) % 28.27/28.55 (define @t88 () (or (= @t78 @t20) (= @t76 @t20))) % 28.27/28.55 (define @t89 () (= @t59 @t88)) % 28.27/28.55 (define @t90 () (forall @t24 @t89)) % 28.27/28.55 (define @t91 () (= (= @t80 @t58) @t90)) % 28.27/28.55 (define @t92 () (forall @t24 (= @t59 (or (= @t20 @t78) (= @t20 @t76))))) % 28.27/28.55 (define @t93 () (= @t81 @t92)) % 28.27/28.55 (define @t94 () (= @t68 @t86)) % 28.27/28.55 (assume @p1 (forall @t5 (=> @t4 @t3))) % 28.27/28.55 (assume @p2 (forall @t5 (=> @t7 (not @t6)))) % 28.27/28.55 (assume @p3 (forall @t5 (= @t8 (tptp.unordered_pair @t2 @t1)))) % 28.27/28.55 (assume @p4 (forall @t5 (= @t10 @t9))) % 28.27/28.55 (assume @p5 (forall @t5 (= @t11 (tptp.set_intersection2 @t2 @t1)))) % 28.27/28.55 (assume @p6 (forall @t5 (= @t13 (and @t12 (tptp.subset @t2 @t1))))) % 28.27/28.55 (assume @p7 (forall @t5 (= (= @t2 @t17) (forall @t16 (= @t15 (= @t14 @t1)))))) % 28.27/28.55 (assume @p8 (forall @t19 (= @t18 (forall (@list @t2) @t3)))) % 28.27/28.55 (assume @p9 (forall @t5 (= (= @t2 (tptp.powerset @t1)) (forall @t16 (= @t15 (tptp.subset @t14 @t1)))))) % 28.27/28.55 (assume @p10 @t28) % 28.27/28.55 (assume @p11 (forall @t27 (= (= @t14 @t10) (forall @t24 (= @t22 (or @t30 @t29)))))) % 28.27/28.55 (assume @p12 (forall @t5 (= @t12 (forall @t16 (=> @t31 @t15))))) % 28.27/28.55 (assume @p13 (forall @t27 (= (= @t14 @t11) (forall @t24 (= @t22 (and @t30 @t29)))))) % 28.27/28.55 (assume @p14 (forall @t27 (= (= @t14 @t32) (forall @t24 (= @t22 (and @t30 (not @t29))))))) % 28.27/28.55 (assume @p15 (forall @t5 (= @t33 (= @t11 tptp.empty_set)))) % 28.27/28.55 (assume @p16 (forall @t5 (= @t7 (and @t12 @t34)))) % 28.27/28.55 (assume @p17 true) % 28.27/28.55 (assume @p18 (tptp.empty tptp.empty_set)) % 28.27/28.55 (assume @p19 (forall @t5 (=> @t36 (not (tptp.empty @t10))))) % 28.27/28.55 (assume @p20 (forall @t5 (=> @t36 (not (tptp.empty @t9))))) % 28.27/28.55 (assume @p21 (forall @t5 (= (tptp.set_union2 @t1 @t1) @t1))) % 28.27/28.55 (assume @p22 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 28.27/28.55 (assume @p23 (forall @t5 (not (tptp.proper_subset @t1 @t1)))) % 28.27/28.55 (assume @p24 (forall @t19 (not (= @t17 tptp.empty_set)))) % 28.27/28.55 (assume @p25 (forall @t5 (= (tptp.subset @t17 @t2) @t4))) % 28.27/28.55 (assume @p26 (forall @t5 (= (= @t32 tptp.empty_set) @t12))) % 28.27/28.55 (assume @p27 (forall @t27 (=> @t12 (or @t31 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t14))))))) % 28.27/28.55 (assume @p28 (forall @t5 (= (tptp.subset @t1 @t37) (or @t18 (= @t1 @t37))))) % 28.27/28.55 (assume @p29 (exists @t19 @t35)) % 28.27/28.55 (assume @p30 (exists @t19 @t36)) % 28.27/28.55 (assume @p31 (forall @t5 (tptp.subset @t1 @t1))) % 28.27/28.55 (assume @p32 (forall @t5 (=> @t33 (tptp.disjoint @t2 @t1)))) % 28.27/28.55 (assume @p33 @t45) % 28.27/28.55 (assume @p34 (forall @t5 (=> @t12 (= @t10 @t2)))) % 28.27/28.55 (assume @p35 (forall @t5 (tptp.subset @t11 @t1))) % 28.27/28.55 (assume @p36 (forall @t27 (=> (and @t12 @t47) (tptp.subset @t1 @t46)))) % 28.27/28.55 (assume @p37 (forall @t19 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 28.27/28.55 (assume @p38 (forall @t27 (=> (and @t12 (tptp.subset @t2 @t14)) @t47))) % 28.27/28.55 (assume @p39 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 28.27/28.55 (assume @p40 (forall @t27 (=> @t12 (tptp.subset (tptp.set_intersection2 @t1 @t14) @t46)))) % 28.27/28.55 (assume @p41 (forall @t5 (=> @t12 (= @t11 @t1)))) % 28.27/28.55 (assume @p42 (forall @t19 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 28.27/28.55 (assume @p43 (forall @t5 (=> (forall @t16 (= @t31 @t15)) @t13))) % 28.27/28.55 (assume @p44 (forall @t19 (tptp.subset tptp.empty_set @t1))) % 28.27/28.55 (assume @p45 (forall @t27 (=> @t12 (tptp.subset (tptp.set_difference @t1 @t14) (tptp.set_difference @t2 @t14))))) % 28.27/28.55 (assume @p46 (forall @t5 (tptp.subset @t32 @t1))) % 28.27/28.55 (assume @p47 (forall @t5 (= @t48 @t10))) % 28.27/28.55 (assume @p48 (forall @t19 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 28.27/28.55 (assume @p49 (forall @t5 (and (not (and @t50 (forall @t16 (not @t49)))) (not (and (exists @t16 @t49) @t33))))) % 28.27/28.55 (assume @p50 (forall @t19 (=> (tptp.subset @t1 tptp.empty_set) @t18))) % 28.27/28.55 (assume @p51 (forall @t5 (= (tptp.set_difference @t10 @t2) @t32))) % 28.27/28.55 (assume @p52 (forall @t5 (=> @t12 (= @t2 @t48)))) % 28.27/28.55 (assume @p53 (forall @t5 (= (tptp.set_difference @t1 @t32) @t11))) % 28.27/28.55 (assume @p54 (forall @t19 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 28.27/28.55 (assume @p55 (forall @t5 (and (not (and @t50 (forall @t16 (not @t51)))) (not (and (exists @t16 @t51) @t33))))) % 28.27/28.55 (assume @p56 (forall @t5 (not (and @t12 @t6)))) % 28.27/28.55 (assume @p57 (forall @t27 (=> (and @t12 (tptp.disjoint @t2 @t14)) (tptp.disjoint @t1 @t14)))) % 28.27/28.55 (assume @p58 (forall @t19 (= (tptp.unordered_pair @t1 @t1) @t17))) % 28.27/28.55 (assume @p59 (forall @t19 (=> @t35 @t18))) % 28.27/28.55 (assume @p60 (forall @t5 (=> (tptp.subset @t17 @t37) @t13))) % 28.27/28.55 (assume @p61 (forall @t5 (not (and @t4 @t52)))) % 28.27/28.55 (assume @p62 (forall @t5 (tptp.subset @t1 @t10))) % 28.27/28.55 (assume @p63 (forall @t5 (= @t33 (= @t32 @t1)))) % 28.27/28.55 (assume @p64 (forall @t5 (not (and @t35 @t34 @t52)))) % 28.27/28.55 (assume @p65 (forall @t27 (=> (and @t12 (tptp.subset @t14 @t2)) (tptp.subset (tptp.set_union2 @t1 @t14) @t2)))) % 28.27/28.55 (assume @p66 (forall @t27 (=> @t53 @t13))) % 28.27/28.55 (assume @p67 (forall @t27 (=> @t53 (= @t2 @t14)))) % 28.27/28.55 (step @p68 :rule eq-symm :args (@t20 @t2)) % 28.27/28.55 (step @p69 :rule eq-symm :args (@t20 @t1)) % 28.27/28.55 (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t21)) % 28.27/28.55 (step @p71 :rule refl :args (@t22)) % 28.27/28.55 (step @p72 :rule cong :premises (@p71 @p70) :args (@t23)) % 28.27/28.55 (step @p73 :rule cong :premises (@p72) :args (@t25)) % 28.27/28.55 (step @p74 :rule eq-symm :args (@t14 @t8)) % 28.27/28.55 (step @p75 :rule cong :premises (@p74 @p73) :args (@t26)) % 28.27/28.55 (step @p76 :rule cong :premises (@p75) :args (@t28)) % 28.27/28.55 (step @p77 :rule eq_resolve :premises (@p10 @p76)) % 28.27/28.55 (step @p78 :rule bool-eq-true :args (@t60)) % 28.27/28.55 (step @p79 :rule eq-symm :args (true @t60)) % 28.27/28.55 (step @p80 :rule trans :premises (@p79 @p78)) % 28.27/28.55 (step @p81 :rule eq-symm :args (@t56 @t20)) % 28.27/28.55 (step @p82 :rule eq-symm :args (@t57 @t20)) % 28.27/28.55 (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t61)) % 28.27/28.55 (step @p84 :rule refl :args (@t59)) % 28.27/28.55 (step @p85 :rule cong :premises (@p84 @p83) :args (@t62)) % 28.27/28.55 (step @p86 :rule cong :premises (@p85) :args (@t63)) % 28.27/28.55 (step @p87 :rule eq-refl :args (@t58)) % 28.27/28.55 (step @p88 :rule cong :premises (@p87 @p86) :args (@t64)) % 28.27/28.55 (step @p89 :rule trans :premises (@p88 @p80)) % 28.27/28.55 (step @p90 :rule refl :args (@t65)) % 28.27/28.55 (step @p91 :rule cong :premises (@p90 @p89) :args ((=> @t65 @t64))) % 28.27/28.55 (assume-push @p168 @t65) % 28.27/28.55 (step @p93 :rule instantiate :premises (@p77) :args ((@list @t57 @t56 @t58))) % 28.27/28.55 (step-pop @p169 :rule scope :premises (@p93)) % 28.27/28.55 (step @p94 :rule process_scope :premises (@p169) :args (@t64)) % 28.27/28.55 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 28.27/28.55 (step @p97 :rule implies_elim :premises (@p96)) % 28.27/28.55 (step @p98 :rule chain_m_resolution :premises (@p97 @p77) :args (@t60 @t66 @t67)) % 28.27/28.55 (step @p99 :rule bool-eq-true :args (@t68)) % 28.27/28.55 (step @p100 :rule absorb :args ((= (or true @t69) true))) % 28.27/28.55 (step @p101 :rule refl :args (@t69)) % 28.27/28.55 (step @p102 :rule eq-refl :args (@t57)) % 28.27/28.55 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t70)) % 28.27/28.55 (step @p104 :rule trans :premises (@p103 @p100)) % 28.27/28.55 (step @p105 :rule refl :args (@t68)) % 28.27/28.55 (step @p106 :rule cong :premises (@p105 @p104) :args (@t71)) % 28.27/28.55 (step @p107 :rule trans :premises (@p106 @p99)) % 28.27/28.55 (step @p108 :rule refl :args (@t60)) % 28.27/28.55 (step @p109 :rule cong :premises (@p108 @p107) :args ((=> @t60 @t71))) % 28.27/28.55 (assume-push @p170 @t60) % 28.27/28.55 (step @p111 :rule instantiate :premises (@p98) :args (@t72)) % 28.27/28.55 (step-pop @p171 :rule scope :premises (@p111)) % 28.27/28.55 (step @p112 :rule process_scope :premises (@p171) :args (@t71)) % 28.27/28.55 (step @p114 :rule eq_resolve :premises (@p112 @p109)) % 28.27/28.55 (step @p115 :rule implies_elim :premises (@p114)) % 28.27/28.55 (step @p116 :rule chain_m_resolution :premises (@p115 @p98) :args (@t68 @t66 (@list @t60))) % 28.27/28.55 (step @p117 :rule bool-double-not-elim :args (@t38)) % 28.27/28.55 (step @p118 :rule bool-double-not-elim :args (@t40)) % 28.27/28.55 (step @p119 :rule refl :args (@t54)) % 28.27/28.55 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args (@t75)) % 28.27/28.55 (step @p121 :rule aci_norm :args ((= (or @t54 (or @t74 @t73)) @t75))) % 28.27/28.55 (step @p122 :rule trans :premises (@p121 @p120)) % 28.27/28.55 (step @p123 :rule bool-and-de-morgan :args (@t41 @t39 true)) % 28.27/28.55 (step @p124 :rule nary_cong :premises (@p119 @p123) :args ((or @t54 (not (and @t41 @t39))))) % 28.27/28.55 (step @p125 :rule bool-and-de-morgan :args (@t42 @t41 (and @t39))) % 28.27/28.55 (step @p126 :rule trans :premises (@p125 @p124)) % 28.27/28.55 (step @p127 :rule trans :premises (@p126 @p122)) % 28.27/28.55 (step @p128 :rule cong :premises (@p127) :args (@t44)) % 28.27/28.55 (step @p129 :rule cong :premises (@p128) :args (@t45)) % 28.27/28.55 (step @p130 :rule eq_resolve :premises (@p33 @p129)) % 28.27/28.55 (step @p131 :rule skolemize :premises (@p130)) % 28.27/28.55 (step @p132 :rule cnf_or_neg :args (@t83 2)) % 28.27/28.55 (step @p133 :rule chain_m_resolution :premises (@p132 @p131) :args ((not @t77) @t84 @t85)) % 28.27/28.55 (step @p134 :rule cnf_or_neg :args (@t83 1)) % 28.27/28.55 (step @p135 :rule chain_m_resolution :premises (@p134 @p131) :args ((not @t79) @t84 @t85)) % 28.27/28.55 (step @p136 :rule cnf_or_pos :args (@t86)) % 28.27/28.55 (step @p137 :rule reordering :premises (@p136) :args ((or @t79 @t77 @t87))) % 28.27/28.55 (step @p138 :rule chain_m_resolution :premises (@p137 @p135 @p133) :args (@t87 (@list true true) (@list @t79 @t77))) % 28.27/28.55 (step @p139 :rule eq-symm :args (@t76 @t20)) % 28.27/28.55 (step @p140 :rule eq-symm :args (@t78 @t20)) % 28.27/28.55 (step @p141 :rule nary_cong :premises (@p140 @p139) :args (@t88)) % 28.27/28.55 (step @p142 :rule cong :premises (@p84 @p141) :args (@t89)) % 28.27/28.55 (step @p143 :rule cong :premises (@p142) :args (@t90)) % 28.27/28.55 (step @p144 :rule eq-symm :args (@t80 @t58)) % 28.27/28.55 (step @p145 :rule cong :premises (@p144 @p143) :args (@t91)) % 28.27/28.55 (step @p146 :rule cong :premises (@p90 @p145) :args ((=> @t65 @t91))) % 28.27/28.55 (assume-push @p172 @t65) % 28.27/28.55 (step @p148 :rule instantiate :premises (@p77) :args ((@list @t78 @t76 @t58))) % 28.27/28.55 (step-pop @p173 :rule scope :premises (@p148)) % 28.27/28.55 (step @p149 :rule process_scope :premises (@p173) :args (@t91)) % 28.27/28.55 (step @p151 :rule eq_resolve :premises (@p149 @p146)) % 28.27/28.55 (step @p152 :rule implies_elim :premises (@p151)) % 28.27/28.55 (step @p153 :rule chain_m_resolution :premises (@p152 @p77) :args (@t93 @t66 @t67)) % 28.27/28.55 (step @p154 :rule bool-double-not-elim :args (@t81)) % 28.27/28.55 (step @p155 :rule refl :args (@t83)) % 28.27/28.55 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or @t83 (not @t82)))) % 28.27/28.55 (step @p157 :rule cnf_or_neg :args (@t83 0)) % 28.27/28.55 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 28.27/28.55 (step @p159 :rule reordering :premises (@p158) :args ((or @t81 @t83))) % 28.27/28.55 (step @p160 :rule chain_m_resolution :premises (@p159 @p131) :args (@t81 @t84 @t85)) % 28.27/28.55 (step @p161 :rule cnf_equiv_pos1 :args (@t93)) % 28.27/28.55 (step @p162 :rule reordering :premises (@p161) :args ((or @t82 @t92 (not @t93)))) % 28.27/28.55 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p153) :args (@t92 (@list false false) (@list @t81 @t93))) % 28.27/28.55 (step @p164 :rule instantiate :premises (@p163) :args (@t72)) % 28.27/28.55 (step @p165 :rule cnf_equiv_pos1 :args (@t94)) % 28.27/28.55 (step @p166 :rule reordering :premises (@p165) :args ((or (not @t68) @t86 (not @t94)))) % 28.27/28.55 (step @p167 false :rule chain_m_resolution :premises (@p166 @p164 @p138 @p116) :args (false (@list false true false) (@list @t94 @t86 @t68))) % 28.27/28.55 ) % 28.27/28.55 % SZS output end Proof % 28.27/28.55 % cvc5 exiting %------------------------------------------------------------------------------