%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU149+2 : 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 : n024.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 08:50:43 AM UTC 2026 % Result : Theorem 15.62s 15.92s % Output : Proof 15.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU149+2 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 11:32:15 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.34 %----Proving TF0_NAR, FOF, or CNF % 15.62/15.92 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.62/15.92 --- Run --no-e-matching --full-saturate-quant at 6... % 15.62/15.92 % SZS status Theorem % 15.62/15.92 % SZS output start Proof % 15.62/15.92 ( % 15.62/15.92 (declare-sort $$unsorted 0) % 15.62/15.92 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 15.62/15.92 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.62/15.92 (declare-const tptp.empty_set $$unsorted) % 15.62/15.92 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.62/15.92 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 15.62/15.92 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 15.62/15.92 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.62/15.92 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 15.62/15.92 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 15.62/15.92 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 15.62/15.92 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 15.62/15.92 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.62/15.92 (define @t1 () (@var "A" $$unsorted)) % 15.62/15.92 (define @t2 () (@var "B" $$unsorted)) % 15.62/15.92 (define @t3 () (not (tptp.in @t2 @t1))) % 15.62/15.92 (define @t4 () (tptp.in @t1 @t2)) % 15.62/15.92 (define @t5 () (@list @t1 @t2)) % 15.62/15.92 (define @t6 () (tptp.proper_subset @t2 @t1)) % 15.62/15.92 (define @t7 () (tptp.proper_subset @t1 @t2)) % 15.62/15.92 (define @t8 () (tptp.unordered_pair @t1 @t2)) % 15.62/15.92 (define @t9 () (tptp.set_union2 @t2 @t1)) % 15.62/15.92 (define @t10 () (tptp.set_union2 @t1 @t2)) % 15.62/15.92 (define @t11 () (tptp.set_intersection2 @t1 @t2)) % 15.62/15.92 (define @t12 () (tptp.subset @t1 @t2)) % 15.62/15.92 (define @t13 () (= @t1 @t2)) % 15.62/15.92 (define @t14 () (@var "C" $$unsorted)) % 15.62/15.92 (define @t15 () (tptp.in @t14 @t2)) % 15.62/15.92 (define @t16 () (= @t15 (= @t14 @t1))) % 15.62/15.92 (define @t17 () (@list @t14)) % 15.62/15.92 (define @t18 () (forall @t17 @t16)) % 15.62/15.92 (define @t19 () (tptp.singleton @t1)) % 15.62/15.92 (define @t20 () (= @t2 @t19)) % 15.62/15.92 (define @t21 () (= @t20 @t18)) % 15.62/15.92 (define @t22 () (forall @t5 @t21)) % 15.62/15.92 (define @t23 () (= @t1 tptp.empty_set)) % 15.62/15.92 (define @t24 () (@list @t1)) % 15.62/15.92 (define @t25 () (@var "D" $$unsorted)) % 15.62/15.92 (define @t26 () (or (= @t25 @t1) (= @t25 @t2))) % 15.62/15.92 (define @t27 () (tptp.in @t25 @t14)) % 15.62/15.92 (define @t28 () (= @t27 @t26)) % 15.62/15.92 (define @t29 () (@list @t25)) % 15.62/15.92 (define @t30 () (forall @t29 @t28)) % 15.62/15.92 (define @t31 () (= (= @t14 @t8) @t30)) % 15.62/15.92 (define @t32 () (@list @t1 @t2 @t14)) % 15.62/15.92 (define @t33 () (forall @t32 @t31)) % 15.62/15.92 (define @t34 () (tptp.in @t25 @t2)) % 15.62/15.92 (define @t35 () (tptp.in @t25 @t1)) % 15.62/15.92 (define @t36 () (tptp.in @t14 @t1)) % 15.62/15.92 (define @t37 () (tptp.set_difference @t1 @t2)) % 15.62/15.92 (define @t38 () (tptp.disjoint @t1 @t2)) % 15.62/15.92 (define @t39 () (not @t13)) % 15.62/15.92 (define @t40 () (tptp.empty @t1)) % 15.62/15.92 (define @t41 () (not @t40)) % 15.62/15.92 (define @t42 () (tptp.singleton @t2)) % 15.62/15.92 (define @t43 () (tptp.set_intersection2 @t2 @t14)) % 15.62/15.92 (define @t44 () (tptp.subset @t1 @t14)) % 15.62/15.92 (define @t45 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 15.62/15.92 (define @t46 () (and @t36 @t15)) % 15.62/15.92 (define @t47 () (not @t38)) % 15.62/15.92 (define @t48 () (tptp.in @t14 @t11)) % 15.62/15.92 (define @t49 () (tptp.empty @t2)) % 15.62/15.92 (define @t50 () (= @t19 (tptp.unordered_pair @t2 @t14))) % 15.62/15.92 (define @t51 () (forall @t32 (=> @t50 @t13))) % 15.62/15.92 (define @t52 () (not @t51)) % 15.62/15.92 (define @t53 () (forall @t32 (or (not @t50) @t13))) % 15.62/15.92 (define @t54 () (@quantifiers_skolemize @t53 0)) % 15.62/15.92 (define @t55 () (tptp.singleton @t54)) % 15.62/15.92 (define @t56 () (tptp.in @t14 @t55)) % 15.62/15.92 (define @t57 () (forall @t17 (= @t56 (= @t14 @t54)))) % 15.62/15.92 (define @t58 () (= @t56 (= @t54 @t14))) % 15.62/15.92 (define @t59 () (forall @t17 @t58)) % 15.62/15.92 (define @t60 () (= (= @t55 @t55) @t59)) % 15.62/15.92 (define @t61 () (forall @t5 (= @t20 (forall @t17 (= @t15 (= @t1 @t14)))))) % 15.62/15.92 (define @t62 () (@list false)) % 15.62/15.92 (define @t63 () (@quantifiers_skolemize @t53 2)) % 15.62/15.92 (define @t64 () (@quantifiers_skolemize @t53 1)) % 15.62/15.92 (define @t65 () (or (= @t64 @t25) (= @t63 @t25))) % 15.62/15.92 (define @t66 () (tptp.in @t25 @t55)) % 15.62/15.92 (define @t67 () (= @t66 @t65)) % 15.62/15.92 (define @t68 () (forall @t29 @t67)) % 15.62/15.92 (define @t69 () (tptp.unordered_pair @t64 @t63)) % 15.62/15.92 (define @t70 () (= (= @t69 @t55) @t68)) % 15.62/15.92 (define @t71 () (forall @t32 (= (= @t8 @t14) (forall @t29 (= @t27 (or (= @t1 @t25) (= @t2 @t25))))))) % 15.62/15.92 (define @t72 () (forall @t29 (= @t66 (or (= @t25 @t64) (= @t25 @t63))))) % 15.62/15.92 (define @t73 () (= @t55 @t69)) % 15.62/15.92 (define @t74 () (= @t73 @t72)) % 15.62/15.92 (define @t75 () (= @t54 @t64)) % 15.62/15.92 (define @t76 () (not @t73)) % 15.62/15.92 (define @t77 () (or @t76 @t75)) % 15.62/15.92 (define @t78 () (@list true)) % 15.62/15.92 (define @t79 () (@list @t77)) % 15.62/15.92 (define @t80 () (tptp.in @t64 @t55)) % 15.62/15.92 (define @t81 () (= @t64 @t63)) % 15.62/15.92 (define @t82 () (or (= @t64 @t64) @t81)) % 15.62/15.92 (define @t83 () (= @t80 @t82)) % 15.62/15.92 (define @t84 () (@list @t64)) % 15.62/15.92 (define @t85 () (= @t75 @t80)) % 15.62/15.92 (define @t86 () (not @t85)) % 15.62/15.92 (define @t87 () (@list true false)) % 15.62/15.92 (define @t88 () (= @t80 (= @t64 @t54))) % 15.62/15.92 (assume @p1 (forall @t5 (=> @t4 @t3))) % 15.62/15.92 (assume @p2 (forall @t5 (=> @t7 (not @t6)))) % 15.62/15.92 (assume @p3 (forall @t5 (= @t8 (tptp.unordered_pair @t2 @t1)))) % 15.62/15.92 (assume @p4 (forall @t5 (= @t10 @t9))) % 15.62/15.92 (assume @p5 (forall @t5 (= @t11 (tptp.set_intersection2 @t2 @t1)))) % 15.62/15.92 (assume @p6 (forall @t5 (= @t13 (and @t12 (tptp.subset @t2 @t1))))) % 15.62/15.92 (assume @p7 @t22) % 15.62/15.92 (assume @p8 (forall @t24 (= @t23 (forall (@list @t2) @t3)))) % 15.62/15.92 (assume @p9 (forall @t5 (= (= @t2 (tptp.powerset @t1)) (forall @t17 (= @t15 (tptp.subset @t14 @t1)))))) % 15.62/15.92 (assume @p10 @t33) % 15.62/15.92 (assume @p11 (forall @t32 (= (= @t14 @t10) (forall @t29 (= @t27 (or @t35 @t34)))))) % 15.62/15.92 (assume @p12 (forall @t5 (= @t12 (forall @t17 (=> @t36 @t15))))) % 15.62/15.92 (assume @p13 (forall @t32 (= (= @t14 @t11) (forall @t29 (= @t27 (and @t35 @t34)))))) % 15.62/15.92 (assume @p14 (forall @t32 (= (= @t14 @t37) (forall @t29 (= @t27 (and @t35 (not @t34))))))) % 15.62/15.92 (assume @p15 (forall @t5 (= @t38 (= @t11 tptp.empty_set)))) % 15.62/15.92 (assume @p16 (forall @t5 (= @t7 (and @t12 @t39)))) % 15.62/15.92 (assume @p17 true) % 15.62/15.92 (assume @p18 (tptp.empty tptp.empty_set)) % 15.62/15.92 (assume @p19 (forall @t5 (=> @t41 (not (tptp.empty @t10))))) % 15.62/15.92 (assume @p20 (forall @t5 (=> @t41 (not (tptp.empty @t9))))) % 15.62/15.92 (assume @p21 (forall @t5 (= (tptp.set_union2 @t1 @t1) @t1))) % 15.62/15.92 (assume @p22 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 15.62/15.92 (assume @p23 (forall @t5 (not (tptp.proper_subset @t1 @t1)))) % 15.62/15.92 (assume @p24 (forall @t24 (not (= @t19 tptp.empty_set)))) % 15.62/15.92 (assume @p25 (forall @t5 (= (tptp.subset @t19 @t2) @t4))) % 15.62/15.92 (assume @p26 (forall @t5 (= (= @t37 tptp.empty_set) @t12))) % 15.62/15.92 (assume @p27 (forall @t32 (=> @t12 (or @t36 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t14))))))) % 15.62/15.92 (assume @p28 (forall @t5 (= (tptp.subset @t1 @t42) (or @t23 (= @t1 @t42))))) % 15.62/15.92 (assume @p29 (exists @t24 @t40)) % 15.62/15.92 (assume @p30 (exists @t24 @t41)) % 15.62/15.92 (assume @p31 (forall @t5 (tptp.subset @t1 @t1))) % 15.62/15.92 (assume @p32 (forall @t5 (=> @t38 (tptp.disjoint @t2 @t1)))) % 15.62/15.92 (assume @p33 (forall @t5 (=> @t12 (= @t10 @t2)))) % 15.62/15.92 (assume @p34 (forall @t5 (tptp.subset @t11 @t1))) % 15.62/15.92 (assume @p35 (forall @t32 (=> (and @t12 @t44) (tptp.subset @t1 @t43)))) % 15.62/15.92 (assume @p36 (forall @t24 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 15.62/15.92 (assume @p37 (forall @t32 (=> (and @t12 (tptp.subset @t2 @t14)) @t44))) % 15.62/15.92 (assume @p38 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 15.62/15.92 (assume @p39 (forall @t32 (=> @t12 (tptp.subset (tptp.set_intersection2 @t1 @t14) @t43)))) % 15.62/15.92 (assume @p40 (forall @t5 (=> @t12 (= @t11 @t1)))) % 15.62/15.92 (assume @p41 (forall @t24 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 15.62/15.92 (assume @p42 (forall @t5 (=> (forall @t17 (= @t36 @t15)) @t13))) % 15.62/15.92 (assume @p43 (forall @t24 (tptp.subset tptp.empty_set @t1))) % 15.62/15.92 (assume @p44 (forall @t32 (=> @t12 (tptp.subset (tptp.set_difference @t1 @t14) (tptp.set_difference @t2 @t14))))) % 15.62/15.92 (assume @p45 (forall @t5 (tptp.subset @t37 @t1))) % 15.62/15.92 (assume @p46 (forall @t5 (= @t45 @t10))) % 15.62/15.92 (assume @p47 (forall @t24 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 15.62/15.92 (assume @p48 (forall @t5 (and (not (and @t47 (forall @t17 (not @t46)))) (not (and (exists @t17 @t46) @t38))))) % 15.62/15.92 (assume @p49 (forall @t24 (=> (tptp.subset @t1 tptp.empty_set) @t23))) % 15.62/15.92 (assume @p50 (forall @t5 (= (tptp.set_difference @t10 @t2) @t37))) % 15.62/15.92 (assume @p51 (forall @t5 (=> @t12 (= @t2 @t45)))) % 15.62/15.92 (assume @p52 (forall @t5 (= (tptp.set_difference @t1 @t37) @t11))) % 15.62/15.92 (assume @p53 (forall @t24 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 15.62/15.92 (assume @p54 (forall @t5 (and (not (and @t47 (forall @t17 (not @t48)))) (not (and (exists @t17 @t48) @t38))))) % 15.62/15.92 (assume @p55 (forall @t5 (not (and @t12 @t6)))) % 15.62/15.92 (assume @p56 (forall @t32 (=> (and @t12 (tptp.disjoint @t2 @t14)) (tptp.disjoint @t1 @t14)))) % 15.62/15.92 (assume @p57 (forall @t24 (= (tptp.unordered_pair @t1 @t1) @t19))) % 15.62/15.92 (assume @p58 (forall @t24 (=> @t40 @t23))) % 15.62/15.92 (assume @p59 (forall @t5 (=> (tptp.subset @t19 @t42) @t13))) % 15.62/15.92 (assume @p60 (forall @t5 (not (and @t4 @t49)))) % 15.62/15.92 (assume @p61 (forall @t5 (tptp.subset @t1 @t10))) % 15.62/15.92 (assume @p62 (forall @t5 (= @t38 (= @t37 @t1)))) % 15.62/15.92 (assume @p63 (forall @t5 (not (and @t40 @t39 @t49)))) % 15.62/15.92 (assume @p64 (forall @t32 (=> (and @t12 (tptp.subset @t14 @t2)) (tptp.subset (tptp.set_union2 @t1 @t14) @t2)))) % 15.62/15.92 (assume @p65 @t52) % 15.62/15.92 (step @p66 :rule eq-symm :args (@t14 @t1)) % 15.62/15.92 (step @p67 :rule refl :args (@t15)) % 15.62/15.92 (step @p68 :rule cong :premises (@p67 @p66) :args (@t16)) % 15.62/15.92 (step @p69 :rule cong :premises (@p68) :args (@t18)) % 15.62/15.92 (step @p70 :rule refl :args (@t20)) % 15.62/15.92 (step @p71 :rule cong :premises (@p70 @p69) :args (@t21)) % 15.62/15.92 (step @p72 :rule cong :premises (@p71) :args (@t22)) % 15.62/15.92 (step @p73 :rule eq_resolve :premises (@p7 @p72)) % 15.62/15.92 (step @p74 :rule bool-eq-true :args (@t57)) % 15.62/15.92 (step @p75 :rule eq-symm :args (true @t57)) % 15.62/15.92 (step @p76 :rule trans :premises (@p75 @p74)) % 15.62/15.92 (step @p77 :rule eq-symm :args (@t54 @t14)) % 15.62/15.92 (step @p78 :rule refl :args (@t56)) % 15.62/15.92 (step @p79 :rule cong :premises (@p78 @p77) :args (@t58)) % 15.62/15.92 (step @p80 :rule cong :premises (@p79) :args (@t59)) % 15.62/15.92 (step @p81 :rule eq-refl :args (@t55)) % 15.62/15.92 (step @p82 :rule cong :premises (@p81 @p80) :args (@t60)) % 15.62/15.92 (step @p83 :rule trans :premises (@p82 @p76)) % 15.62/15.92 (step @p84 :rule refl :args (@t61)) % 15.62/15.92 (step @p85 :rule cong :premises (@p84 @p83) :args ((=> @t61 @t60))) % 15.62/15.92 (assume-push @p171 @t61) % 15.62/15.92 (step @p87 :rule instantiate :premises (@p73) :args ((@list @t54 @t55))) % 15.62/15.92 (step-pop @p172 :rule scope :premises (@p87)) % 15.62/15.92 (step @p88 :rule process_scope :premises (@p172) :args (@t60)) % 15.62/15.92 (step @p90 :rule eq_resolve :premises (@p88 @p85)) % 15.62/15.92 (step @p91 :rule implies_elim :premises (@p90)) % 15.62/15.92 (step @p92 :rule chain_m_resolution :premises (@p91 @p73) :args (@t57 @t62 (@list @t61))) % 15.62/15.92 (step @p93 :rule eq-symm :args (@t25 @t2)) % 15.62/15.92 (step @p94 :rule eq-symm :args (@t25 @t1)) % 15.62/15.92 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t26)) % 15.62/15.92 (step @p96 :rule refl :args (@t27)) % 15.62/15.92 (step @p97 :rule cong :premises (@p96 @p95) :args (@t28)) % 15.62/15.92 (step @p98 :rule cong :premises (@p97) :args (@t30)) % 15.62/15.92 (step @p99 :rule eq-symm :args (@t14 @t8)) % 15.62/15.92 (step @p100 :rule cong :premises (@p99 @p98) :args (@t31)) % 15.62/15.92 (step @p101 :rule cong :premises (@p100) :args (@t33)) % 15.62/15.92 (step @p102 :rule eq_resolve :premises (@p10 @p101)) % 15.62/15.92 (step @p103 :rule eq-symm :args (@t63 @t25)) % 15.62/15.92 (step @p104 :rule eq-symm :args (@t64 @t25)) % 15.62/15.92 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t65)) % 15.62/15.92 (step @p106 :rule refl :args (@t66)) % 15.62/15.92 (step @p107 :rule cong :premises (@p106 @p105) :args (@t67)) % 15.62/15.92 (step @p108 :rule cong :premises (@p107) :args (@t68)) % 15.62/15.92 (step @p109 :rule eq-symm :args (@t69 @t55)) % 15.62/15.92 (step @p110 :rule cong :premises (@p109 @p108) :args (@t70)) % 15.62/15.92 (step @p111 :rule refl :args (@t71)) % 15.62/15.92 (step @p112 :rule cong :premises (@p111 @p110) :args ((=> @t71 @t70))) % 15.62/15.92 (assume-push @p173 @t71) % 15.62/15.92 (step @p114 :rule instantiate :premises (@p102) :args ((@list @t64 @t63 @t55))) % 15.62/15.92 (step-pop @p174 :rule scope :premises (@p114)) % 15.62/15.92 (step @p115 :rule process_scope :premises (@p174) :args (@t70)) % 15.62/15.92 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 15.62/15.92 (step @p118 :rule implies_elim :premises (@p117)) % 15.62/15.92 (step @p119 :rule chain_m_resolution :premises (@p118 @p102) :args (@t74 @t62 (@list @t71))) % 15.62/15.92 (step @p120 :rule bool-impl-elim :args (@t50 @t13)) % 15.62/15.92 (step @p121 :rule cong :premises (@p120) :args (@t51)) % 15.62/15.92 (step @p122 :rule cong :premises (@p121) :args (@t52)) % 15.62/15.92 (step @p123 :rule eq_resolve :premises (@p65 @p122)) % 15.62/15.92 (step @p124 :rule skolemize :premises (@p123)) % 15.62/15.92 (step @p125 :rule bool-double-not-elim :args (@t73)) % 15.62/15.92 (step @p126 :rule refl :args (@t77)) % 15.62/15.92 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t77 (not @t76)))) % 15.62/15.92 (step @p128 :rule cnf_or_neg :args (@t77 0)) % 15.62/15.92 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 15.62/15.92 (step @p130 :rule reordering :premises (@p129) :args ((or @t73 @t77))) % 15.62/15.92 (step @p131 :rule chain_m_resolution :premises (@p130 @p124) :args (@t73 @t78 @t79)) % 15.62/15.92 (step @p132 :rule cnf_equiv_pos1 :args (@t74)) % 15.62/15.92 (step @p133 :rule reordering :premises (@p132) :args ((or @t76 @t72 (not @t74)))) % 15.62/15.92 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p119) :args (@t72 (@list false false) (@list @t73 @t74))) % 15.62/15.93 (step @p135 :rule bool-eq-true :args (@t80)) % 15.62/15.93 (step @p136 :rule absorb :args ((= (or true @t81) true))) % 15.62/15.93 (step @p137 :rule refl :args (@t81)) % 15.62/15.93 (step @p138 :rule eq-refl :args (@t64)) % 15.62/15.93 (step @p139 :rule nary_cong :premises (@p138 @p137) :args (@t82)) % 15.62/15.93 (step @p140 :rule trans :premises (@p139 @p136)) % 15.62/15.93 (step @p141 :rule refl :args (@t80)) % 15.62/15.93 (step @p142 :rule cong :premises (@p141 @p140) :args (@t83)) % 15.62/15.93 (step @p143 :rule trans :premises (@p142 @p135)) % 15.62/15.93 (step @p144 :rule refl :args (@t72)) % 15.62/15.93 (step @p145 :rule cong :premises (@p144 @p143) :args ((=> @t72 @t83))) % 15.62/15.93 (assume-push @p175 @t72) % 15.62/15.93 (step @p147 :rule instantiate :premises (@p134) :args (@t84)) % 15.62/15.93 (step-pop @p176 :rule scope :premises (@p147)) % 15.62/15.93 (step @p148 :rule process_scope :premises (@p176) :args (@t83)) % 15.62/15.93 (step @p150 :rule eq_resolve :premises (@p148 @p145)) % 15.62/15.93 (step @p151 :rule implies_elim :premises (@p150)) % 15.62/15.93 (step @p152 :rule chain_m_resolution :premises (@p151 @p134) :args (@t80 @t62 (@list @t72))) % 15.62/15.93 (step @p153 :rule cnf_or_neg :args (@t77 1)) % 15.62/15.93 (step @p154 :rule chain_m_resolution :premises (@p153 @p124) :args ((not @t75) @t78 @t79)) % 15.62/15.93 (step @p155 :rule cnf_equiv_pos2 :args (@t85)) % 15.62/15.93 (step @p156 :rule reordering :premises (@p155) :args ((or @t75 (not @t80) @t86))) % 15.62/15.93 (step @p157 :rule chain_m_resolution :premises (@p156 @p154 @p152) :args (@t86 @t87 (@list @t75 @t80))) % 15.62/15.93 (step @p158 :rule eq-symm :args (@t80 @t75)) % 15.62/15.93 (step @p159 :rule eq-symm :args (@t64 @t54)) % 15.62/15.93 (step @p160 :rule cong :premises (@p141 @p159) :args (@t88)) % 15.62/15.93 (step @p161 :rule trans :premises (@p160 @p158)) % 15.62/15.93 (step @p162 :rule refl :args (@t57)) % 15.62/15.93 (step @p163 :rule cong :premises (@p162 @p161) :args ((=> @t57 @t88))) % 15.62/15.93 (assume-push @p177 @t57) % 15.62/15.93 (step @p165 :rule instantiate :premises (@p92) :args (@t84)) % 15.62/15.93 (step-pop @p178 :rule scope :premises (@p165)) % 15.62/15.93 (step @p166 :rule process_scope :premises (@p178) :args (@t88)) % 15.62/15.93 (step @p168 :rule eq_resolve :premises (@p166 @p163)) % 15.62/15.93 (step @p169 :rule implies_elim :premises (@p168)) % 15.62/15.93 (step @p170 false :rule chain_m_resolution :premises (@p169 @p157 @p92) :args (false @t87 (@list @t85 @t57))) % 15.62/15.93 ) % 15.62/15.93 % SZS output end Proof % 15.62/15.93 % cvc5 exiting %------------------------------------------------------------------------------