%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET906+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:48:57 AM UTC 2026 % Result : Theorem 28.75s 29.04s % Output : Proof 28.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET906+1 : TPTP v9.2.1. Released v3.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n002.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 16:17:18 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 28.75/29.04 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.75/29.04 --- Run --no-e-matching --full-saturate-quant at 6... % 28.75/29.04 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.75/29.04 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.75/29.04 % SZS status Theorem % 28.75/29.04 % SZS output start Proof % 28.75/29.04 ( % 28.75/29.04 (declare-sort $$unsorted 0) % 28.75/29.04 (declare-const tptp.empty (-> $$unsorted Bool)) % 28.75/29.04 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 28.75/29.04 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 28.75/29.04 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 28.75/29.04 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 28.75/29.04 (define @t1 () (@var "A" $$unsorted)) % 28.75/29.04 (define @t2 () (@var "B" $$unsorted)) % 28.75/29.04 (define @t3 () (@list @t1 @t2)) % 28.75/29.04 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 28.75/29.04 (define @t5 () (tptp.set_union2 @t2 @t1)) % 28.75/29.04 (define @t6 () (tptp.set_union2 @t1 @t2)) % 28.75/29.04 (define @t7 () (@var "D" $$unsorted)) % 28.75/29.04 (define @t8 () (or (= @t7 @t1) (= @t7 @t2))) % 28.75/29.04 (define @t9 () (@var "C" $$unsorted)) % 28.88/29.04 (define @t10 () (tptp.in @t7 @t9)) % 28.88/29.04 (define @t11 () (= @t10 @t8)) % 28.88/29.04 (define @t12 () (@list @t7)) % 28.88/29.04 (define @t13 () (forall @t12 @t11)) % 28.88/29.04 (define @t14 () (= (= @t9 @t4) @t13)) % 28.88/29.04 (define @t15 () (@list @t1 @t2 @t9)) % 28.88/29.04 (define @t16 () (forall @t15 @t14)) % 28.88/29.04 (define @t17 () (forall @t12 (= @t10 (or (tptp.in @t7 @t1) (tptp.in @t7 @t2))))) % 28.88/29.04 (define @t18 () (= (= @t9 @t6) @t17)) % 28.88/29.04 (define @t19 () (forall @t15 @t18)) % 28.88/29.04 (define @t20 () (tptp.in @t9 @t2)) % 28.88/29.04 (define @t21 () (tptp.in @t9 @t1)) % 28.88/29.04 (define @t22 () (@list @t9)) % 28.88/29.04 (define @t23 () (forall @t22 (=> @t21 @t20))) % 28.88/29.04 (define @t24 () (tptp.subset @t1 @t2)) % 28.88/29.04 (define @t25 () (= @t24 @t23)) % 28.88/29.04 (define @t26 () (forall @t3 @t25)) % 28.88/29.04 (define @t27 () (tptp.empty @t1)) % 28.88/29.04 (define @t28 () (not @t27)) % 28.88/29.04 (define @t29 () (@list @t1)) % 28.88/29.04 (define @t30 () (tptp.in @t1 @t9)) % 28.88/29.04 (define @t31 () (tptp.subset (tptp.set_union2 @t4 @t9) @t9)) % 28.88/29.04 (define @t32 () (forall @t15 (=> @t31 @t30))) % 28.88/29.04 (define @t33 () (not @t32)) % 28.88/29.04 (define @t34 () (forall @t15 (or (not @t31) @t30))) % 28.88/29.04 (define @t35 () (@quantifiers_skolemize @t34 2)) % 28.88/29.04 (define @t36 () (@quantifiers_skolemize @t34 1)) % 28.88/29.04 (define @t37 () (@quantifiers_skolemize @t34 0)) % 28.88/29.04 (define @t38 () (tptp.unordered_pair @t37 @t36)) % 28.88/29.04 (define @t39 () (tptp.set_union2 @t38 @t35)) % 28.88/29.04 (define @t40 () (tptp.subset @t39 @t35)) % 28.88/29.04 (define @t41 () (tptp.in @t37 @t35)) % 28.88/29.04 (define @t42 () (not @t40)) % 28.88/29.04 (define @t43 () (or @t42 @t41)) % 28.88/29.04 (define @t44 () (@list true)) % 28.88/29.04 (define @t45 () (@list @t43)) % 28.88/29.04 (define @t46 () (forall @t22 (or (not (tptp.in @t9 @t39)) (tptp.in @t9 @t35)))) % 28.88/29.04 (define @t47 () (= @t40 @t46)) % 28.88/29.04 (define @t48 () (@list false false)) % 28.88/29.04 (define @t49 () (@list @t37)) % 28.88/29.04 (define @t50 () (tptp.in @t37 @t39)) % 28.88/29.04 (define @t51 () (not @t50)) % 28.88/29.04 (define @t52 () (or @t51 @t41)) % 28.88/29.04 (define @t53 () (tptp.in @t7 @t38)) % 28.88/29.04 (define @t54 () (forall @t12 (= @t53 (or (= @t7 @t37) (= @t7 @t36))))) % 28.88/29.04 (define @t55 () (or (= @t37 @t7) (= @t36 @t7))) % 28.88/29.04 (define @t56 () (= @t53 @t55)) % 28.88/29.04 (define @t57 () (forall @t12 @t56)) % 28.88/29.04 (define @t58 () (= (= @t38 @t38) @t57)) % 28.88/29.04 (define @t59 () (forall @t15 (= (= @t4 @t9) (forall @t12 (= @t10 (or (= @t1 @t7) (= @t2 @t7))))))) % 28.88/29.04 (define @t60 () (@list false)) % 28.88/29.04 (define @t61 () (tptp.in @t37 @t38)) % 28.88/29.04 (define @t62 () (= @t37 @t36)) % 28.88/29.04 (define @t63 () (or (= @t37 @t37) @t62)) % 28.88/29.04 (define @t64 () (= @t61 @t63)) % 28.88/29.04 (define @t65 () (or @t41 @t61)) % 28.88/29.04 (define @t66 () (= @t6 @t9)) % 28.88/29.04 (define @t67 () (forall @t12 (= (tptp.in @t7 @t39) (or (tptp.in @t7 @t35) @t53)))) % 28.88/29.04 (define @t68 () (tptp.set_union2 @t35 @t38)) % 28.88/29.04 (define @t69 () (= @t68 @t39)) % 28.88/29.04 (define @t70 () (forall @t15 (= @t17 @t66))) % 28.88/29.04 (define @t71 () (= @t67 @t69)) % 28.88/29.04 (define @t72 () (= @t39 @t68)) % 28.88/29.04 (define @t73 () (= @t72 @t67)) % 28.88/29.04 (define @t74 () (= @t50 @t65)) % 28.88/29.04 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 28.88/29.04 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 28.88/29.04 (assume @p3 (forall @t3 (= @t6 @t5))) % 28.88/29.04 (assume @p4 @t16) % 28.88/29.04 (assume @p5 @t19) % 28.88/29.04 (assume @p6 @t26) % 28.88/29.04 (assume @p7 (forall @t3 (=> @t28 (not (tptp.empty @t6))))) % 28.88/29.04 (assume @p8 (forall @t3 (=> @t28 (not (tptp.empty @t5))))) % 28.88/29.04 (assume @p9 (forall @t3 (= (tptp.set_union2 @t1 @t1) @t1))) % 28.88/29.04 (assume @p10 (exists @t29 @t27)) % 28.88/29.04 (assume @p11 (exists @t29 @t28)) % 28.88/29.04 (assume @p12 (forall @t3 (tptp.subset @t1 @t1))) % 28.88/29.04 (assume @p13 @t33) % 28.88/29.04 (assume @p14 true) % 28.88/29.04 (step @p15 :rule bool-impl-elim :args (@t21 @t20)) % 28.88/29.04 (step @p16 :rule cong :premises (@p15) :args (@t23)) % 28.88/29.04 (step @p17 :rule refl :args (@t24)) % 28.88/29.04 (step @p18 :rule cong :premises (@p17 @p16) :args (@t25)) % 28.88/29.04 (step @p19 :rule cong :premises (@p18) :args (@t26)) % 28.88/29.04 (step @p20 :rule eq_resolve :premises (@p6 @p19)) % 28.88/29.04 (step @p21 :rule instantiate :premises (@p20) :args ((@list @t39 @t35))) % 28.88/29.04 (step @p22 :rule bool-impl-elim :args (@t31 @t30)) % 28.88/29.04 (step @p23 :rule cong :premises (@p22) :args (@t32)) % 28.88/29.04 (step @p24 :rule cong :premises (@p23) :args (@t33)) % 28.88/29.04 (step @p25 :rule eq_resolve :premises (@p13 @p24)) % 28.88/29.04 (step @p26 :rule skolemize :premises (@p25)) % 28.88/29.04 (step @p27 :rule bool-double-not-elim :args (@t40)) % 28.88/29.04 (step @p28 :rule refl :args (@t43)) % 28.88/29.04 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t43 (not @t42)))) % 28.88/29.04 (step @p30 :rule cnf_or_neg :args (@t43 0)) % 28.88/29.04 (step @p31 :rule eq_resolve :premises (@p30 @p29)) % 28.88/29.04 (step @p32 :rule reordering :premises (@p31) :args ((or @t40 @t43))) % 28.88/29.04 (step @p33 :rule chain_m_resolution :premises (@p32 @p26) :args (@t40 @t44 @t45)) % 28.88/29.04 (step @p34 :rule cnf_equiv_pos1 :args (@t47)) % 28.88/29.04 (step @p35 :rule reordering :premises (@p34) :args ((or @t42 @t46 (not @t47)))) % 28.88/29.04 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p21) :args (@t46 @t48 (@list @t40 @t47))) % 28.88/29.04 (step @p37 :rule instantiate :premises (@p36) :args (@t49)) % 28.88/29.04 (step @p38 :rule cnf_or_neg :args (@t43 1)) % 28.88/29.04 (step @p39 :rule chain_m_resolution :premises (@p38 @p26) :args ((not @t41) @t44 @t45)) % 28.88/29.04 (step @p40 :rule cnf_or_pos :args (@t52)) % 28.88/29.04 (step @p41 :rule reordering :premises (@p40) :args ((or @t41 @t51 (not @t52)))) % 28.88/29.04 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p37) :args (@t51 (@list true false) (@list @t41 @t52))) % 28.88/29.04 (step @p43 :rule eq-symm :args (@t7 @t2)) % 28.88/29.04 (step @p44 :rule eq-symm :args (@t7 @t1)) % 28.88/29.04 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t8)) % 28.88/29.04 (step @p46 :rule refl :args (@t10)) % 28.88/29.04 (step @p47 :rule cong :premises (@p46 @p45) :args (@t11)) % 28.88/29.04 (step @p48 :rule cong :premises (@p47) :args (@t13)) % 28.88/29.04 (step @p49 :rule eq-symm :args (@t9 @t4)) % 28.88/29.04 (step @p50 :rule cong :premises (@p49 @p48) :args (@t14)) % 28.88/29.04 (step @p51 :rule cong :premises (@p50) :args (@t16)) % 28.88/29.04 (step @p52 :rule eq_resolve :premises (@p4 @p51)) % 28.88/29.04 (step @p53 :rule bool-eq-true :args (@t54)) % 28.88/29.04 (step @p54 :rule eq-symm :args (true @t54)) % 28.88/29.04 (step @p55 :rule trans :premises (@p54 @p53)) % 28.88/29.04 (step @p56 :rule eq-symm :args (@t36 @t7)) % 28.88/29.04 (step @p57 :rule eq-symm :args (@t37 @t7)) % 28.88/29.04 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t55)) % 28.88/29.04 (step @p59 :rule refl :args (@t53)) % 28.88/29.04 (step @p60 :rule cong :premises (@p59 @p58) :args (@t56)) % 28.88/29.04 (step @p61 :rule cong :premises (@p60) :args (@t57)) % 28.88/29.04 (step @p62 :rule eq-refl :args (@t38)) % 28.88/29.04 (step @p63 :rule cong :premises (@p62 @p61) :args (@t58)) % 28.88/29.04 (step @p64 :rule trans :premises (@p63 @p55)) % 28.88/29.04 (step @p65 :rule refl :args (@t59)) % 28.88/29.04 (step @p66 :rule cong :premises (@p65 @p64) :args ((=> @t59 @t58))) % 28.88/29.04 (assume-push @p124 @t59) % 28.88/29.04 (step @p68 :rule instantiate :premises (@p52) :args ((@list @t37 @t36 @t38))) % 28.88/29.04 (step-pop @p125 :rule scope :premises (@p68)) % 28.88/29.04 (step @p69 :rule process_scope :premises (@p125) :args (@t58)) % 28.88/29.04 (step @p71 :rule eq_resolve :premises (@p69 @p66)) % 28.88/29.04 (step @p72 :rule implies_elim :premises (@p71)) % 28.88/29.04 (step @p73 :rule chain_m_resolution :premises (@p72 @p52) :args (@t54 @t60 (@list @t59))) % 28.88/29.04 (step @p74 :rule bool-eq-true :args (@t61)) % 28.88/29.04 (step @p75 :rule absorb :args ((= (or true @t62) true))) % 28.88/29.04 (step @p76 :rule refl :args (@t62)) % 28.88/29.04 (step @p77 :rule eq-refl :args (@t37)) % 28.88/29.04 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t63)) % 28.88/29.04 (step @p79 :rule trans :premises (@p78 @p75)) % 28.88/29.04 (step @p80 :rule refl :args (@t61)) % 28.88/29.04 (step @p81 :rule cong :premises (@p80 @p79) :args (@t64)) % 28.88/29.04 (step @p82 :rule trans :premises (@p81 @p74)) % 28.88/29.04 (step @p83 :rule refl :args (@t54)) % 28.88/29.04 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t54 @t64))) % 28.88/29.04 (assume-push @p126 @t54) % 28.88/29.04 (step @p86 :rule instantiate :premises (@p73) :args (@t49)) % 28.88/29.04 (step-pop @p127 :rule scope :premises (@p86)) % 28.88/29.04 (step @p87 :rule process_scope :premises (@p127) :args (@t64)) % 28.88/29.04 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 28.88/29.05 (step @p90 :rule implies_elim :premises (@p89)) % 28.88/29.05 (step @p91 :rule chain_m_resolution :premises (@p90 @p73) :args (@t61 @t60 (@list @t54))) % 28.88/29.05 (step @p92 :rule cnf_or_neg :args (@t65 1)) % 28.88/29.05 (step @p93 :rule reordering :premises (@p92) :args ((or (not @t61) @t65))) % 28.88/29.05 (step @p94 :rule chain_m_resolution :premises (@p93 @p91) :args (@t65 @t60 (@list @t61))) % 28.88/29.05 (step @p95 :rule eq-symm :args (@t66 @t17)) % 28.88/29.05 (step @p96 :rule refl :args (@t17)) % 28.88/29.05 (step @p97 :rule eq-symm :args (@t9 @t6)) % 28.88/29.05 (step @p98 :rule cong :premises (@p97 @p96) :args (@t18)) % 28.88/29.05 (step @p99 :rule trans :premises (@p98 @p95)) % 28.88/29.05 (step @p100 :rule cong :premises (@p99) :args (@t19)) % 28.88/29.05 (step @p101 :rule eq_resolve :premises (@p5 @p100)) % 28.88/29.05 (step @p102 :rule refl :args (@t67)) % 28.88/29.05 (step @p103 :rule eq-symm :args (@t68 @t39)) % 28.88/29.05 (step @p104 :rule cong :premises (@p103 @p102) :args ((= @t69 @t67))) % 28.88/29.05 (step @p105 :rule eq-symm :args (@t67 @t69)) % 28.88/29.05 (step @p106 :rule trans :premises (@p105 @p104)) % 28.88/29.05 (step @p107 :rule refl :args (@t70)) % 28.88/29.05 (step @p108 :rule cong :premises (@p107 @p106) :args ((=> @t70 @t71))) % 28.88/29.05 (assume-push @p128 @t70) % 28.88/29.05 (step @p110 :rule instantiate :premises (@p101) :args ((@list @t35 @t38 @t39))) % 28.88/29.05 (step-pop @p129 :rule scope :premises (@p110)) % 28.88/29.05 (step @p111 :rule process_scope :premises (@p129) :args (@t71)) % 28.88/29.05 (step @p113 :rule eq_resolve :premises (@p111 @p108)) % 28.88/29.05 (step @p114 :rule implies_elim :premises (@p113)) % 28.88/29.05 (step @p115 :rule chain_m_resolution :premises (@p114 @p101) :args (@t73 @t60 (@list @t70))) % 28.88/29.05 (step @p116 :rule instantiate :premises (@p3) :args ((@list @t38 @t35))) % 28.88/29.05 (step @p117 :rule cnf_equiv_pos1 :args (@t73)) % 28.88/29.05 (step @p118 :rule reordering :premises (@p117) :args ((or (not @t72) @t67 (not @t73)))) % 28.88/29.05 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p115) :args (@t67 @t48 (@list @t72 @t73))) % 28.88/29.05 (step @p120 :rule instantiate :premises (@p119) :args (@t49)) % 28.88/29.05 (step @p121 :rule cnf_equiv_pos2 :args (@t74)) % 28.88/29.05 (step @p122 :rule reordering :premises (@p121) :args ((or @t50 (not @t65) (not @t74)))) % 28.88/29.05 (step @p123 false :rule chain_m_resolution :premises (@p122 @p120 @p94 @p42) :args (false (@list false false true) (@list @t74 @t65 @t50))) % 28.88/29.05 ) % 28.88/29.05 % SZS output end Proof % 28.88/29.05 % cvc5 exiting %------------------------------------------------------------------------------