%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET882+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 : n013.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 08:48:55 AM UTC 2026 % Result : Theorem 15.45s 15.70s % Output : Proof 15.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET882+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n013.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 16:16:30 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 15.45/15.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.45/15.70 --- Run --no-e-matching --full-saturate-quant at 6... % 15.45/15.70 % SZS status Theorem % 15.45/15.70 % SZS output start Proof % 15.45/15.70 ( % 15.45/15.70 (declare-sort $$unsorted 0) % 15.45/15.70 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.45/15.70 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 15.45/15.70 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.45/15.70 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.45/15.70 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.45/15.70 (define @t1 () (@var "A" $$unsorted)) % 15.45/15.70 (define @t2 () (@var "B" $$unsorted)) % 15.45/15.70 (define @t3 () (@list @t1 @t2)) % 15.45/15.70 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 15.45/15.70 (define @t5 () (@var "C" $$unsorted)) % 15.45/15.70 (define @t6 () (tptp.in @t5 @t2)) % 15.45/15.70 (define @t7 () (= @t6 (= @t5 @t1))) % 15.45/15.70 (define @t8 () (@list @t5)) % 15.45/15.70 (define @t9 () (forall @t8 @t7)) % 15.45/15.70 (define @t10 () (tptp.singleton @t1)) % 15.45/15.70 (define @t11 () (= @t2 @t10)) % 15.45/15.70 (define @t12 () (= @t11 @t9)) % 15.45/15.70 (define @t13 () (forall @t3 @t12)) % 15.45/15.70 (define @t14 () (= @t1 @t2)) % 15.45/15.70 (define @t15 () (and (not (tptp.in @t1 @t5)) (or (tptp.in @t2 @t5) @t14))) % 15.45/15.70 (define @t16 () (tptp.set_difference @t4 @t5)) % 15.45/15.70 (define @t17 () (= (= @t16 @t10) @t15)) % 15.45/15.70 (define @t18 () (@list @t1 @t2 @t5)) % 15.45/15.70 (define @t19 () (forall @t18 @t17)) % 15.45/15.70 (define @t20 () (tptp.empty @t1)) % 15.45/15.70 (define @t21 () (@list @t1)) % 15.45/15.70 (define @t22 () (tptp.set_difference @t4 (tptp.singleton @t2))) % 15.45/15.70 (define @t23 () (not @t14)) % 15.45/15.70 (define @t24 () (=> @t23 (= @t22 @t10))) % 15.45/15.70 (define @t25 () (forall @t3 @t24)) % 15.45/15.70 (define @t26 () (not @t25)) % 15.45/15.70 (define @t27 () (= @t10 @t22)) % 15.45/15.70 (define @t28 () (forall @t3 (or @t14 @t27))) % 15.45/15.70 (define @t29 () (@quantifiers_skolemize @t28 1)) % 15.45/15.70 (define @t30 () (tptp.singleton @t29)) % 15.45/15.70 (define @t31 () (tptp.in @t5 @t30)) % 15.45/15.70 (define @t32 () (forall @t8 (= (= @t5 @t29) @t31))) % 15.45/15.70 (define @t33 () (= @t29 @t5)) % 15.45/15.70 (define @t34 () (forall @t8 (= @t31 @t33))) % 15.45/15.70 (define @t35 () (= (= @t30 @t30) @t34)) % 15.45/15.70 (define @t36 () (forall @t3 (= @t11 (forall @t8 (= @t6 (= @t1 @t5)))))) % 15.45/15.70 (define @t37 () (@list false)) % 15.45/15.70 (define @t38 () (tptp.in @t29 @t30)) % 15.45/15.70 (define @t39 () (= (= @t29 @t29) @t38)) % 15.45/15.70 (define @t40 () (@quantifiers_skolemize @t28 0)) % 15.45/15.70 (define @t41 () (= @t40 @t29)) % 15.45/15.70 (define @t42 () (or @t38 @t41)) % 15.45/15.70 (define @t43 () (= @t10 @t16)) % 15.45/15.70 (define @t44 () (tptp.in @t40 @t30)) % 15.45/15.70 (define @t45 () (not @t44)) % 15.45/15.70 (define @t46 () (and @t45 @t42)) % 15.45/15.70 (define @t47 () (= (tptp.singleton @t40) (tptp.set_difference (tptp.unordered_pair @t40 @t29) @t30))) % 15.45/15.70 (define @t48 () (forall @t18 (= @t15 @t43))) % 15.45/15.70 (define @t49 () (= @t46 @t47)) % 15.45/15.70 (define @t50 () (= @t47 @t46)) % 15.45/15.70 (define @t51 () (or @t41 @t47)) % 15.45/15.70 (define @t52 () (@list true)) % 15.45/15.70 (define @t53 () (@list @t51)) % 15.45/15.70 (define @t54 () (not @t46)) % 15.45/15.70 (define @t55 () (@list true false)) % 15.45/15.70 (define @t56 () (not @t42)) % 15.45/15.70 (define @t57 () (= @t41 @t44)) % 15.45/15.70 (define @t58 () (not @t57)) % 15.45/15.70 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 15.45/15.70 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 15.45/15.70 (assume @p3 @t13) % 15.45/15.70 (assume @p4 @t19) % 15.45/15.70 (assume @p5 (exists @t21 @t20)) % 15.45/15.70 (assume @p6 (exists @t21 (not @t20))) % 15.45/15.70 (assume @p7 @t26) % 15.45/15.70 (assume @p8 true) % 15.45/15.70 (step @p9 :rule eq-symm :args (@t5 @t1)) % 15.45/15.70 (step @p10 :rule refl :args (@t6)) % 15.45/15.70 (step @p11 :rule cong :premises (@p10 @p9) :args (@t7)) % 15.45/15.70 (step @p12 :rule cong :premises (@p11) :args (@t9)) % 15.45/15.70 (step @p13 :rule refl :args (@t11)) % 15.45/15.70 (step @p14 :rule cong :premises (@p13 @p12) :args (@t12)) % 15.45/15.70 (step @p15 :rule cong :premises (@p14) :args (@t13)) % 15.45/15.70 (step @p16 :rule eq_resolve :premises (@p3 @p15)) % 15.45/15.70 (step @p17 :rule bool-eq-true :args (@t32)) % 15.45/15.70 (step @p18 :rule eq-symm :args (true @t32)) % 15.45/15.70 (step @p19 :rule trans :premises (@p18 @p17)) % 15.45/15.70 (step @p20 :rule refl :args (@t31)) % 15.45/15.70 (step @p21 :rule eq-symm :args (@t29 @t5)) % 15.45/15.70 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t33 @t31))) % 15.45/15.70 (step @p23 :rule eq-symm :args (@t31 @t33)) % 15.45/15.70 (step @p24 :rule trans :premises (@p23 @p22)) % 15.45/15.70 (step @p25 :rule cong :premises (@p24) :args (@t34)) % 15.45/15.70 (step @p26 :rule eq-refl :args (@t30)) % 15.45/15.70 (step @p27 :rule cong :premises (@p26 @p25) :args (@t35)) % 15.45/15.70 (step @p28 :rule trans :premises (@p27 @p19)) % 15.45/15.70 (step @p29 :rule refl :args (@t36)) % 15.45/15.70 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t36 @t35))) % 15.45/15.70 (assume-push @p113 @t36) % 15.45/15.70 (step @p32 :rule instantiate :premises (@p16) :args ((@list @t29 @t30))) % 15.45/15.70 (step-pop @p114 :rule scope :premises (@p32)) % 15.45/15.70 (step @p33 :rule process_scope :premises (@p114) :args (@t35)) % 15.45/15.70 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 15.45/15.70 (step @p36 :rule implies_elim :premises (@p35)) % 15.45/15.70 (step @p37 :rule chain_m_resolution :premises (@p36 @p16) :args (@t32 @t37 (@list @t36))) % 15.45/15.70 (step @p38 :rule bool-eq-true :args (@t38)) % 15.45/15.70 (step @p39 :rule eq-symm :args (true @t38)) % 15.45/15.70 (step @p40 :rule trans :premises (@p39 @p38)) % 15.45/15.70 (step @p41 :rule refl :args (@t38)) % 15.45/15.70 (step @p42 :rule eq-refl :args (@t29)) % 15.45/15.70 (step @p43 :rule cong :premises (@p42 @p41) :args (@t39)) % 15.45/15.70 (step @p44 :rule trans :premises (@p43 @p40)) % 15.45/15.70 (step @p45 :rule refl :args (@t32)) % 15.45/15.70 (step @p46 :rule cong :premises (@p45 @p44) :args ((=> @t32 @t39))) % 15.45/15.70 (assume-push @p115 @t32) % 15.45/15.70 (step @p48 :rule instantiate :premises (@p37) :args ((@list @t29))) % 15.45/15.70 (step-pop @p116 :rule scope :premises (@p48)) % 15.45/15.70 (step @p49 :rule process_scope :premises (@p116) :args (@t39)) % 15.45/15.70 (step @p51 :rule eq_resolve :premises (@p49 @p46)) % 15.45/15.70 (step @p52 :rule implies_elim :premises (@p51)) % 15.45/15.70 (step @p53 :rule reordering :premises (@p52) :args ((or @t38 (not @t32)))) % 15.45/15.70 (step @p54 :rule chain_m_resolution :premises (@p53 @p37) :args (@t38 @t37 (@list @t32))) % 15.45/15.70 (step @p55 :rule cnf_or_neg :args (@t42 0)) % 15.45/15.70 (step @p56 :rule reordering :premises (@p55) :args ((or (not @t38) @t42))) % 15.45/15.70 (step @p57 :rule chain_m_resolution :premises (@p56 @p54) :args (@t42 @t37 (@list @t38))) % 15.45/15.70 (step @p58 :rule eq-symm :args (@t43 @t15)) % 15.45/15.70 (step @p59 :rule refl :args (@t15)) % 15.45/15.70 (step @p60 :rule eq-symm :args (@t16 @t10)) % 15.45/15.70 (step @p61 :rule cong :premises (@p60 @p59) :args (@t17)) % 15.45/15.70 (step @p62 :rule trans :premises (@p61 @p58)) % 15.45/15.70 (step @p63 :rule cong :premises (@p62) :args (@t19)) % 15.45/15.70 (step @p64 :rule eq_resolve :premises (@p4 @p63)) % 15.45/15.70 (step @p65 :rule eq-symm :args (@t46 @t47)) % 15.45/15.70 (step @p66 :rule refl :args (@t48)) % 15.45/15.70 (step @p67 :rule cong :premises (@p66 @p65) :args ((=> @t48 @t49))) % 15.45/15.70 (assume-push @p117 @t48) % 15.45/15.70 (step @p69 :rule instantiate :premises (@p64) :args ((@list @t40 @t29 @t30))) % 15.45/15.70 (step-pop @p118 :rule scope :premises (@p69)) % 15.45/15.70 (step @p70 :rule process_scope :premises (@p118) :args (@t49)) % 15.45/15.70 (step @p72 :rule eq_resolve :premises (@p70 @p67)) % 15.45/15.70 (step @p73 :rule implies_elim :premises (@p72)) % 15.45/15.70 (step @p74 :rule chain_m_resolution :premises (@p73 @p64) :args (@t50 @t37 (@list @t48))) % 15.45/15.70 (step @p75 :rule refl :args (@t27)) % 15.45/15.70 (step @p76 :rule bool-double-not-elim :args (@t14)) % 15.45/15.70 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or (not @t23) @t27))) % 15.45/15.70 (step @p78 :rule bool-impl-elim :args (@t23 @t27)) % 15.45/15.70 (step @p79 :rule trans :premises (@p78 @p77)) % 15.45/15.70 (step @p80 :rule cong :premises (@p79) :args ((forall @t3 (=> @t23 @t27)))) % 15.45/15.70 (step @p81 :rule eq-symm :args (@t22 @t10)) % 15.45/15.70 (step @p82 :rule refl :args (@t23)) % 15.45/15.70 (step @p83 :rule cong :premises (@p82 @p81) :args (@t24)) % 15.45/15.70 (step @p84 :rule cong :premises (@p83) :args (@t25)) % 15.45/15.70 (step @p85 :rule trans :premises (@p84 @p80)) % 15.45/15.70 (step @p86 :rule cong :premises (@p85) :args (@t26)) % 15.45/15.70 (step @p87 :rule eq_resolve :premises (@p7 @p86)) % 15.45/15.70 (step @p88 :rule skolemize :premises (@p87)) % 15.45/15.70 (step @p89 :rule cnf_or_neg :args (@t51 1)) % 15.45/15.70 (step @p90 :rule chain_m_resolution :premises (@p89 @p88) :args ((not @t47) @t52 @t53)) % 15.45/15.70 (step @p91 :rule cnf_equiv_pos2 :args (@t50)) % 15.45/15.70 (step @p92 :rule reordering :premises (@p91) :args ((or @t47 @t54 (not @t50)))) % 15.45/15.70 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p74) :args (@t54 @t55 (@list @t47 @t50))) % 15.45/15.70 (step @p94 :rule refl :args (@t56)) % 15.45/15.70 (step @p95 :rule bool-double-not-elim :args (@t44)) % 15.45/15.70 (step @p96 :rule refl :args (@t46)) % 15.45/15.70 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94) :args ((or @t46 (not @t45) @t56))) % 15.45/15.70 (step @p98 :rule cnf_and_neg :args (@t46)) % 15.45/15.70 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 15.45/15.70 (step @p100 :rule reordering :premises (@p99) :args ((or @t44 @t46 @t56))) % 15.45/15.70 (step @p101 :rule chain_m_resolution :premises (@p100 @p93 @p57) :args (@t44 @t55 (@list @t46 @t42))) % 15.45/15.70 (step @p102 :rule cnf_or_neg :args (@t51 0)) % 15.45/15.70 (step @p103 :rule chain_m_resolution :premises (@p102 @p88) :args ((not @t41) @t52 @t53)) % 15.45/15.70 (step @p104 :rule cnf_equiv_pos2 :args (@t57)) % 15.45/15.70 (step @p105 :rule reordering :premises (@p104) :args ((or @t41 @t45 @t58))) % 15.45/15.70 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p101) :args (@t58 @t55 (@list @t41 @t44))) % 15.45/15.70 (assume-push @p119 @t32) % 15.45/15.70 (step @p108 :rule instantiate :premises (@p37) :args ((@list @t40))) % 15.45/15.70 (step-pop @p120 :rule scope :premises (@p108)) % 15.45/15.70 (step @p109 :rule process_scope :premises (@p120) :args (@t57)) % 15.45/15.70 (step @p111 :rule implies_elim :premises (@p109)) % 15.45/15.70 (step @p112 false :rule chain_m_resolution :premises (@p111 @p106 @p37) :args (false @t55 (@list @t57 @t32))) % 15.45/15.70 ) % 15.45/15.70 % SZS output end Proof % 15.45/15.70 % cvc5 exiting %------------------------------------------------------------------------------