%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET612+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:48:13 AM UTC 2026 % Result : Theorem 28.04s 28.22s % Output : Proof 28.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SET612+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n009.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 16:04:44 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 28.04/28.22 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.04/28.22 --- Run --no-e-matching --full-saturate-quant at 6... % 28.04/28.22 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.04/28.22 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.04/28.22 % SZS status Theorem % 28.04/28.22 % SZS output start Proof % 28.04/28.22 ( % 28.04/28.22 (declare-sort $$unsorted 0) % 28.04/28.22 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 28.04/28.22 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 28.04/28.22 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 28.04/28.22 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 28.04/28.22 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 28.04/28.22 (define @t1 () (@var "C" $$unsorted)) % 28.04/28.22 (define @t2 () (@var "D" $$unsorted)) % 28.04/28.22 (define @t3 () (tptp.member @t2 @t1)) % 28.04/28.22 (define @t4 () (@var "B" $$unsorted)) % 28.04/28.22 (define @t5 () (tptp.member @t2 @t4)) % 28.04/28.22 (define @t6 () (tptp.union @t4 @t1)) % 28.04/28.22 (define @t7 () (@list @t4 @t1 @t2)) % 28.04/28.22 (define @t8 () (tptp.intersection @t4 @t1)) % 28.04/28.22 (define @t9 () (tptp.difference @t4 @t1)) % 28.04/28.22 (define @t10 () (@list @t4 @t1)) % 28.04/28.22 (define @t11 () (tptp.subset @t4 @t1)) % 28.04/28.22 (define @t12 () (= @t4 @t1)) % 28.04/28.22 (define @t13 () (@list @t2)) % 28.04/28.22 (define @t14 () (forall @t10 (= @t12 (forall @t13 (= @t5 @t3))))) % 28.04/28.22 (define @t15 () (forall @t7 (= (tptp.difference @t4 (tptp.union @t1 @t2)) (tptp.intersection @t9 (tptp.difference @t4 @t2))))) % 28.04/28.22 (define @t16 () (@quantifiers_skolemize @t15 2)) % 28.04/28.22 (define @t17 () (@quantifiers_skolemize @t15 1)) % 28.04/28.22 (define @t18 () (tptp.union @t17 @t16)) % 28.04/28.22 (define @t19 () (@quantifiers_skolemize @t15 0)) % 28.04/28.22 (define @t20 () (tptp.difference @t19 @t18)) % 28.04/28.22 (define @t21 () (tptp.member @t2 @t20)) % 28.04/28.22 (define @t22 () (tptp.difference @t19 @t16)) % 28.04/28.22 (define @t23 () (tptp.difference @t19 @t17)) % 28.04/28.22 (define @t24 () (tptp.intersection @t23 @t22)) % 28.04/28.22 (define @t25 () (tptp.member @t2 @t24)) % 28.04/28.22 (define @t26 () (forall @t13 (= @t21 @t25))) % 28.04/28.22 (define @t27 () (= @t20 @t24)) % 28.04/28.22 (define @t28 () (= @t27 @t26)) % 28.04/28.22 (define @t29 () (forall @t13 (= @t25 @t21))) % 28.04/28.22 (define @t30 () (= @t27 @t29)) % 28.04/28.22 (define @t31 () (@list false)) % 28.04/28.22 (define @t32 () (not @t29)) % 28.04/28.22 (define @t33 () (@list true false)) % 28.04/28.22 (define @t34 () (@quantifiers_skolemize @t29 0)) % 28.04/28.22 (define @t35 () (tptp.member @t34 @t16)) % 28.04/28.22 (define @t36 () (not @t35)) % 28.04/28.22 (define @t37 () (tptp.member @t34 @t19)) % 28.04/28.22 (define @t38 () (and @t37 @t36)) % 28.04/28.22 (define @t39 () (tptp.member @t34 @t22)) % 28.04/28.22 (define @t40 () (= @t39 @t38)) % 28.04/28.22 (define @t41 () (not @t40)) % 28.04/28.22 (define @t42 () (tptp.member @t34 @t23)) % 28.04/28.22 (define @t43 () (and @t42 @t39)) % 28.04/28.22 (define @t44 () (not @t43)) % 28.04/28.22 (define @t45 () (tptp.member @t34 @t24)) % 28.04/28.22 (define @t46 () (= @t45 @t43)) % 28.04/28.22 (define @t47 () (not @t46)) % 28.04/28.22 (define @t48 () (tptp.member @t34 @t20)) % 28.04/28.22 (define @t49 () (= @t45 @t48)) % 28.04/28.22 (define @t50 () (tptp.member @t34 @t18)) % 28.04/28.22 (define @t51 () (not @t50)) % 28.04/28.22 (define @t52 () (and @t37 @t51)) % 28.04/28.22 (define @t53 () (= @t48 @t52)) % 28.04/28.22 (define @t54 () (not @t53)) % 28.04/28.22 (define @t55 () (not @t52)) % 28.04/28.22 (define @t56 () (not @t37)) % 28.04/28.22 (define @t57 () (tptp.member @t34 @t17)) % 28.04/28.22 (define @t58 () (or @t57 @t35)) % 28.04/28.22 (define @t59 () (= @t50 @t58)) % 28.04/28.22 (define @t60 () (not @t59)) % 28.04/28.22 (define @t61 () (not @t58)) % 28.04/28.22 (define @t62 () (not @t38)) % 28.04/28.22 (define @t63 () (@list @t38)) % 28.04/28.22 (define @t64 () (not @t57)) % 28.04/28.22 (define @t65 () (and @t37 @t64)) % 28.04/28.22 (define @t66 () (not @t65)) % 28.04/28.22 (define @t67 () (= @t42 @t65)) % 28.04/28.22 (define @t68 () (not @t67)) % 28.04/28.22 (define @t69 () (@list false false)) % 28.04/28.22 (assume @p1 (forall @t7 (= (tptp.member @t2 @t6) (or @t5 @t3)))) % 28.04/28.22 (assume @p2 (forall @t7 (= (tptp.member @t2 @t8) (and @t5 @t3)))) % 28.04/28.22 (assume @p3 (forall @t7 (= (tptp.member @t2 @t9) (and @t5 (not @t3))))) % 28.04/28.22 (assume @p4 (forall @t10 (tptp.subset @t4 @t6))) % 28.04/28.22 (assume @p5 (forall @t7 (=> (and @t11 (tptp.subset @t4 @t2)) (tptp.subset @t4 (tptp.intersection @t1 @t2))))) % 28.04/28.22 (assume @p6 (forall @t7 (=> @t11 (tptp.subset (tptp.difference @t2 @t1) (tptp.difference @t2 @t4))))) % 28.04/28.22 (assume @p7 (forall @t10 (= @t12 (and @t11 (tptp.subset @t1 @t4))))) % 28.04/28.22 (assume @p8 (forall @t10 (= @t6 (tptp.union @t1 @t4)))) % 28.04/28.22 (assume @p9 (forall @t10 (= @t8 (tptp.intersection @t1 @t4)))) % 28.04/28.22 (assume @p10 (forall @t10 (= @t11 (forall @t13 (=> @t5 @t3))))) % 28.04/28.22 (assume @p11 (forall (@list @t4) (tptp.subset @t4 @t4))) % 28.04/28.22 (assume @p12 @t14) % 28.04/28.22 (assume @p13 (not @t15)) % 28.04/28.22 (assume @p14 true) % 28.04/28.22 (step @p15 :rule eq-symm :args (@t21 @t25)) % 28.04/28.22 (step @p16 :rule cong :premises (@p15) :args (@t26)) % 28.04/28.22 (step @p17 :rule refl :args (@t27)) % 28.04/28.22 (step @p18 :rule cong :premises (@p17 @p16) :args (@t28)) % 28.04/28.22 (step @p19 :rule refl :args (@t14)) % 28.04/28.22 (step @p20 :rule cong :premises (@p19 @p18) :args ((=> @t14 @t28))) % 28.04/28.22 (assume-push @p114 @t14) % 28.04/28.22 (step @p22 :rule instantiate :premises (@p12) :args ((@list @t20 @t24))) % 28.04/28.22 (step-pop @p115 :rule scope :premises (@p22)) % 28.04/28.22 (step @p23 :rule process_scope :premises (@p115) :args (@t28)) % 28.04/28.22 (step @p25 :rule eq_resolve :premises (@p23 @p20)) % 28.04/28.22 (step @p26 :rule implies_elim :premises (@p25)) % 28.04/28.22 (step @p27 :rule chain_m_resolution :premises (@p26 @p12) :args (@t30 @t31 (@list @t14))) % 28.04/28.22 (step @p28 :rule skolemize :premises (@p13)) % 28.04/28.22 (step @p29 :rule cnf_equiv_pos2 :args (@t30)) % 28.04/28.22 (step @p30 :rule reordering :premises (@p29) :args ((or @t27 @t32 (not @t30)))) % 28.04/28.22 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p27) :args (@t32 @t33 (@list @t27 @t30))) % 28.04/28.22 (step @p32 :rule skolemize :premises (@p31)) % 28.04/28.22 (step @p33 :rule instantiate :premises (@p3) :args ((@list @t19 @t18 @t34))) % 28.04/28.22 (step @p34 :rule instantiate :premises (@p3) :args ((@list @t19 @t16 @t34))) % 28.04/28.22 (step @p35 :rule cnf_equiv_pos1 :args (@t40)) % 28.04/28.22 (step @p36 :rule reordering :premises (@p35) :args ((or (not @t39) @t38 @t41))) % 28.04/28.22 (step @p37 :rule cnf_and_pos :args (@t43 1)) % 28.04/28.22 (step @p38 :rule reordering :premises (@p37) :args ((or @t39 @t44))) % 28.04/28.22 (step @p39 :rule instantiate :premises (@p2) :args ((@list @t23 @t22 @t34))) % 28.04/28.22 (step @p40 :rule cnf_equiv_pos1 :args (@t46)) % 28.04/28.22 (step @p41 :rule reordering :premises (@p40) :args ((or (not @t45) @t43 @t47))) % 28.04/28.22 (step @p42 :rule cnf_equiv_neg1 :args (@t49)) % 28.04/28.22 (step @p43 :rule reordering :premises (@p42) :args ((or @t45 @t48 @t49))) % 28.04/28.22 (step @p44 :rule cnf_equiv_pos1 :args (@t53)) % 28.04/28.22 (step @p45 :rule reordering :premises (@p44) :args ((or (not @t48) @t52 @t54))) % 28.04/28.22 (step @p46 :rule cnf_and_pos :args (@t52 0)) % 28.04/28.22 (step @p47 :rule reordering :premises (@p46) :args ((or @t37 @t55))) % 28.04/28.22 (step @p48 :rule cnf_and_pos :args (@t52 1)) % 28.04/28.22 (step @p49 :rule reordering :premises (@p48) :args ((or @t51 @t55))) % 28.04/28.22 (step @p50 :rule bool-double-not-elim :args (@t35)) % 28.04/28.22 (step @p51 :rule refl :args (@t56)) % 28.04/28.22 (step @p52 :rule refl :args (@t38)) % 28.04/28.22 (step @p53 :rule nary_cong :premises (@p52 @p51 @p50) :args ((or @t38 @t56 (not @t36)))) % 28.04/28.22 (step @p54 :rule cnf_and_neg :args (@t38)) % 28.04/28.22 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 28.04/28.22 (step @p56 :rule reordering :premises (@p55) :args ((or @t35 @t38 @t56))) % 28.04/28.22 (step @p57 :rule instantiate :premises (@p1) :args ((@list @t17 @t16 @t34))) % 28.04/28.22 (step @p58 :rule cnf_equiv_pos2 :args (@t59)) % 28.04/28.22 (step @p59 :rule reordering :premises (@p58) :args ((or @t50 @t61 @t60))) % 28.04/28.22 (step @p60 :rule cnf_or_neg :args (@t58 1)) % 28.04/28.22 (step @p61 :rule chain_m_resolution :premises (@p60 @p59 @p57 @p56 @p49 @p47 @p45 @p33 @p43 @p32 @p41 @p39 @p38 @p36 @p34) :args (@t38 (@list true false false true false false false false true true false true true false) (@list @t58 @t59 @t35 @t50 @t37 @t52 @t53 @t48 @t49 @t45 @t46 @t43 @t39 @t40))) % 28.04/28.22 (step @p62 :rule cnf_and_pos :args (@t38 0)) % 28.04/28.22 (step @p63 :rule reordering :premises (@p62) :args ((or @t37 @t62))) % 28.04/28.22 (step @p64 :rule chain_m_resolution :premises (@p63 @p61) :args (@t37 @t31 @t63)) % 28.04/28.22 (step @p65 :rule cnf_and_pos :args (@t38 1)) % 28.04/28.22 (step @p66 :rule reordering :premises (@p65) :args ((or @t36 @t62))) % 28.04/28.22 (step @p67 :rule chain_m_resolution :premises (@p66 @p61) :args (@t36 @t31 @t63)) % 28.04/28.22 (step @p68 :rule cnf_or_neg :args (@t58 0)) % 28.04/28.22 (step @p69 :rule reordering :premises (@p68) :args ((or @t64 @t58))) % 28.04/28.22 (step @p70 :rule cnf_and_pos :args (@t65 1)) % 28.04/28.22 (step @p71 :rule reordering :premises (@p70) :args ((or @t64 @t66))) % 28.04/28.22 (step @p72 :rule instantiate :premises (@p3) :args ((@list @t19 @t17 @t34))) % 28.04/28.22 (step @p73 :rule cnf_equiv_pos1 :args (@t67)) % 28.04/28.22 (step @p74 :rule reordering :premises (@p73) :args ((or (not @t42) @t65 @t68))) % 28.04/28.22 (step @p75 :rule cnf_and_pos :args (@t43 0)) % 28.04/28.22 (step @p76 :rule reordering :premises (@p75) :args ((or @t42 @t44))) % 28.04/28.22 (step @p77 :rule chain_m_resolution :premises (@p43 @p32 @p41 @p39 @p45 @p33 @p76 @p49 @p74 @p72 @p59 @p57 @p71 @p69) :args (@t64 (@list true true false true false true true true false false false true false) (@list @t49 @t45 @t46 @t48 @t53 @t43 @t52 @t42 @t67 @t50 @t59 @t65 @t58))) % 28.04/28.22 (step @p78 :rule cnf_or_pos :args (@t58)) % 28.04/28.22 (step @p79 :rule reordering :premises (@p78) :args ((or @t57 @t35 @t61))) % 28.04/28.22 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p67) :args (@t61 (@list true true) (@list @t57 @t35))) % 28.04/28.22 (step @p81 :rule cnf_equiv_pos1 :args (@t59)) % 28.04/28.22 (step @p82 :rule reordering :premises (@p81) :args ((or @t58 @t51 @t60))) % 28.04/28.22 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p57) :args (@t51 @t33 (@list @t58 @t59))) % 28.04/28.22 (step @p84 :rule bool-double-not-elim :args (@t50)) % 28.04/28.22 (step @p85 :rule refl :args (@t52)) % 28.04/28.22 (step @p86 :rule nary_cong :premises (@p85 @p51 @p84) :args ((or @t52 @t56 (not @t51)))) % 28.04/28.22 (step @p87 :rule cnf_and_neg :args (@t52)) % 28.04/28.22 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 28.04/28.22 (step @p89 :rule reordering :premises (@p88) :args ((or @t50 @t56 @t52))) % 28.04/28.22 (step @p90 :rule chain_m_resolution :premises (@p89 @p83 @p64) :args (@t52 @t33 (@list @t50 @t37))) % 28.04/28.22 (step @p91 :rule cnf_equiv_pos2 :args (@t53)) % 28.04/28.22 (step @p92 :rule reordering :premises (@p91) :args ((or @t48 @t55 @t54))) % 28.04/28.22 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p33) :args (@t48 @t69 (@list @t52 @t53))) % 28.04/28.22 (step @p94 :rule cnf_equiv_pos2 :args (@t40)) % 28.04/28.22 (step @p95 :rule reordering :premises (@p94) :args ((or @t39 @t62 @t41))) % 28.04/28.22 (step @p96 :rule chain_m_resolution :premises (@p95 @p61 @p34) :args (@t39 @t69 (@list @t38 @t40))) % 28.04/28.22 (step @p97 :rule bool-double-not-elim :args (@t57)) % 28.04/28.22 (step @p98 :rule refl :args (@t65)) % 28.04/28.22 (step @p99 :rule nary_cong :premises (@p98 @p51 @p97) :args ((or @t65 @t56 (not @t64)))) % 28.04/28.22 (step @p100 :rule cnf_and_neg :args (@t65)) % 28.04/28.22 (step @p101 :rule eq_resolve :premises (@p100 @p99)) % 28.04/28.22 (step @p102 :rule reordering :premises (@p101) :args ((or @t57 @t56 @t65))) % 28.04/28.22 (step @p103 :rule chain_m_resolution :premises (@p102 @p77 @p64) :args (@t65 @t33 (@list @t57 @t37))) % 28.04/28.22 (step @p104 :rule cnf_equiv_pos2 :args (@t67)) % 28.04/28.22 (step @p105 :rule reordering :premises (@p104) :args ((or @t42 @t66 @t68))) % 28.04/28.22 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p72) :args (@t42 @t69 (@list @t65 @t67))) % 28.04/28.22 (step @p107 :rule cnf_and_neg :args (@t43)) % 28.04/28.22 (step @p108 :rule chain_m_resolution :premises (@p107 @p106 @p96) :args (@t43 @t69 (@list @t42 @t39))) % 28.04/28.22 (step @p109 :rule cnf_equiv_pos2 :args (@t46)) % 28.04/28.22 (step @p110 :rule reordering :premises (@p109) :args ((or @t45 @t44 @t47))) % 28.04/28.22 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p39) :args (@t45 @t69 (@list @t43 @t46))) % 28.04/28.22 (step @p112 :rule cnf_equiv_neg2 :args (@t49)) % 28.04/28.22 (step @p113 false :rule chain_m_resolution :premises (@p112 @p111 @p93 @p32) :args (false (@list false false true) (@list @t45 @t48 @t49))) % 28.04/28.22 ) % 28.04/28.22 % SZS output end Proof % 28.04/28.22 % cvc5 exiting %------------------------------------------------------------------------------