%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU151+1 : 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 : n007.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 15.42s 15.94s % Output : Proof 15.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.14 % Problem : SEU151+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.36 % Computer : n007.cluster.edu % 0.16/0.36 % Model : x86_64 x86_64 % 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.36 % Memory : 8042.1875MB % 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.36 % CPULimit : 300 % 0.16/0.36 % WCLimit : 300 % 0.16/0.36 % DateTime : Tue Jun 2 16:31:42 EDT 2026 % 0.16/0.36 % CPUTime : % 0.32/0.53 %----Proving TF0_NAR, FOF, or CNF % 15.42/15.94 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.42/15.94 --- Run --no-e-matching --full-saturate-quant at 6... % 15.42/15.94 % SZS status Theorem % 15.42/15.94 % SZS output start Proof % 15.42/15.94 ( % 15.42/15.94 (declare-sort $$unsorted 0) % 15.42/15.94 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.42/15.94 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.42/15.94 (define @t1 () (@var "A" $$unsorted)) % 15.42/15.94 (define @t2 () (@var "B" $$unsorted)) % 15.42/15.94 (define @t3 () (@list @t1 @t2)) % 15.42/15.94 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 15.42/15.94 (define @t5 () (@var "D" $$unsorted)) % 15.42/15.94 (define @t6 () (or (= @t5 @t1) (= @t5 @t2))) % 15.42/15.94 (define @t7 () (@var "C" $$unsorted)) % 15.42/15.94 (define @t8 () (tptp.in @t5 @t7)) % 15.42/15.94 (define @t9 () (= @t8 @t6)) % 15.42/15.94 (define @t10 () (@list @t5)) % 15.42/15.94 (define @t11 () (forall @t10 @t9)) % 15.42/15.94 (define @t12 () (= (= @t7 @t4) @t11)) % 15.42/15.94 (define @t13 () (@list @t1 @t2 @t7)) % 15.42/15.94 (define @t14 () (forall @t13 @t12)) % 15.42/15.94 (define @t15 () (= @t1 @t5)) % 15.42/15.94 (define @t16 () (not @t15)) % 15.42/15.94 (define @t17 () (= @t1 @t7)) % 15.42/15.94 (define @t18 () (not @t17)) % 15.42/15.94 (define @t19 () (= @t4 (tptp.unordered_pair @t7 @t5))) % 15.42/15.94 (define @t20 () (@list @t1 @t2 @t7 @t5)) % 15.42/15.94 (define @t21 () (forall @t20 (not (and @t19 @t18 @t16)))) % 15.42/15.94 (define @t22 () (not @t21)) % 15.42/15.94 (define @t23 () (not @t19)) % 15.42/15.94 (define @t24 () (forall @t20 (or @t23 @t17 @t15))) % 15.42/15.94 (define @t25 () (@quantifiers_skolemize @t24 3)) % 15.42/15.94 (define @t26 () (@quantifiers_skolemize @t24 2)) % 15.42/15.94 (define @t27 () (tptp.unordered_pair @t26 @t25)) % 15.42/15.94 (define @t28 () (tptp.in @t5 @t27)) % 15.42/15.94 (define @t29 () (or (= @t25 @t5) (= @t26 @t5))) % 15.42/15.94 (define @t30 () (forall @t10 (= @t28 @t29))) % 15.42/15.94 (define @t31 () (tptp.unordered_pair @t25 @t26)) % 15.42/15.94 (define @t32 () (= (= @t31 @t27) @t30)) % 15.42/15.94 (define @t33 () (forall @t13 (= (= @t4 @t7) (forall @t10 (= @t8 (or @t15 (= @t2 @t5))))))) % 15.42/15.94 (define @t34 () (forall @t10 (= (or (= @t5 @t25) (= @t5 @t26)) @t28))) % 15.42/15.94 (define @t35 () (= @t27 @t31)) % 15.42/15.94 (define @t36 () (= @t35 @t34)) % 15.42/15.94 (define @t37 () (@list false)) % 15.42/15.94 (define @t38 () (@list @t33)) % 15.42/15.94 (define @t39 () (@quantifiers_skolemize @t24 0)) % 15.42/15.94 (define @t40 () (= @t39 @t26)) % 15.42/15.94 (define @t41 () (= @t39 @t25)) % 15.42/15.94 (define @t42 () (or @t41 @t40)) % 15.42/15.94 (define @t43 () (tptp.in @t39 @t27)) % 15.42/15.94 (define @t44 () (= @t42 @t43)) % 15.42/15.94 (define @t45 () (@list @t39)) % 15.42/15.94 (define @t46 () (= @t43 @t42)) % 15.42/15.94 (define @t47 () (not @t16)) % 15.42/15.94 (define @t48 () (not @t18)) % 15.42/15.94 (define @t49 () (or @t23 @t48 @t47)) % 15.42/15.94 (define @t50 () (@quantifiers_skolemize @t24 1)) % 15.42/15.94 (define @t51 () (tptp.unordered_pair @t39 @t50)) % 15.42/15.94 (define @t52 () (= @t51 @t27)) % 15.42/15.94 (define @t53 () (not @t52)) % 15.42/15.94 (define @t54 () (or @t53 @t40 @t41)) % 15.42/15.94 (define @t55 () (@list true)) % 15.42/15.94 (define @t56 () (@list @t54)) % 15.42/15.94 (define @t57 () (not @t42)) % 15.42/15.94 (define @t58 () (not @t43)) % 15.42/15.94 (define @t59 () (tptp.in @t39 @t51)) % 15.42/15.94 (define @t60 () (tptp.in @t5 @t51)) % 15.42/15.94 (define @t61 () (forall @t10 (= @t60 (or (= @t5 @t39) (= @t5 @t50))))) % 15.42/15.94 (define @t62 () (or (= @t39 @t5) (= @t50 @t5))) % 15.42/15.94 (define @t63 () (= @t60 @t62)) % 15.42/15.94 (define @t64 () (forall @t10 @t63)) % 15.42/15.94 (define @t65 () (= (= @t51 @t51) @t64)) % 15.42/15.94 (define @t66 () (= @t39 @t50)) % 15.42/15.94 (define @t67 () (or (= @t39 @t39) @t66)) % 15.42/15.94 (define @t68 () (= @t59 @t67)) % 15.42/15.94 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 15.42/15.94 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 15.42/15.94 (assume @p3 @t14) % 15.42/15.94 (assume @p4 true) % 15.42/15.94 (assume @p5 @t22) % 15.42/15.94 (step @p6 :rule evaluate :args ((= true false))) % 15.42/15.94 (step @p7 :rule eq-symm :args (@t5 @t2)) % 15.42/15.94 (step @p8 :rule eq-symm :args (@t5 @t1)) % 15.42/15.94 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t6)) % 15.42/15.94 (step @p10 :rule refl :args (@t8)) % 15.42/15.94 (step @p11 :rule cong :premises (@p10 @p9) :args (@t9)) % 15.42/15.94 (step @p12 :rule cong :premises (@p11) :args (@t11)) % 15.42/15.94 (step @p13 :rule eq-symm :args (@t7 @t4)) % 15.42/15.94 (step @p14 :rule cong :premises (@p13 @p12) :args (@t12)) % 15.42/15.94 (step @p15 :rule cong :premises (@p14) :args (@t14)) % 15.42/15.94 (step @p16 :rule eq_resolve :premises (@p3 @p15)) % 15.42/15.94 (step @p17 :rule refl :args (@t28)) % 15.42/15.94 (step @p18 :rule eq-symm :args (@t26 @t5)) % 15.42/15.94 (step @p19 :rule eq-symm :args (@t25 @t5)) % 15.42/15.94 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t29)) % 15.42/15.94 (step @p21 :rule cong :premises (@p20 @p17) :args ((= @t29 @t28))) % 15.42/15.94 (step @p22 :rule eq-symm :args (@t28 @t29)) % 15.42/15.94 (step @p23 :rule trans :premises (@p22 @p21)) % 15.42/15.94 (step @p24 :rule cong :premises (@p23) :args (@t30)) % 15.42/15.94 (step @p25 :rule eq-symm :args (@t31 @t27)) % 15.42/15.94 (step @p26 :rule cong :premises (@p25 @p24) :args (@t32)) % 15.42/15.94 (step @p27 :rule refl :args (@t33)) % 15.42/15.94 (step @p28 :rule cong :premises (@p27 @p26) :args ((=> @t33 @t32))) % 15.42/15.94 (assume-push @p127 @t33) % 15.42/15.94 (step @p30 :rule instantiate :premises (@p16) :args ((@list @t25 @t26 @t27))) % 15.42/15.94 (step-pop @p128 :rule scope :premises (@p30)) % 15.42/15.94 (step @p31 :rule process_scope :premises (@p128) :args (@t32)) % 15.42/15.94 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 15.42/15.94 (step @p34 :rule implies_elim :premises (@p33)) % 15.42/15.94 (step @p35 :rule chain_m_resolution :premises (@p34 @p16) :args (@t36 @t37 @t38)) % 15.42/15.94 (step @p36 :rule instantiate :premises (@p2) :args ((@list @t26 @t25))) % 15.42/15.94 (step @p37 :rule cnf_equiv_pos1 :args (@t36)) % 15.42/15.94 (step @p38 :rule reordering :premises (@p37) :args ((or (not @t35) @t34 (not @t36)))) % 15.42/15.94 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p35) :args (@t34 (@list false false) (@list @t35 @t36))) % 15.42/15.94 (step @p40 :rule eq-symm :args (@t42 @t43)) % 15.42/15.94 (step @p41 :rule refl :args (@t34)) % 15.42/15.94 (step @p42 :rule cong :premises (@p41 @p40) :args ((=> @t34 @t44))) % 15.42/15.94 (assume-push @p129 @t34) % 15.42/15.94 (step @p44 :rule instantiate :premises (@p39) :args (@t45)) % 15.42/15.94 (step-pop @p130 :rule scope :premises (@p44)) % 15.42/15.94 (step @p45 :rule process_scope :premises (@p130) :args (@t44)) % 15.42/15.94 (step @p47 :rule eq_resolve :premises (@p45 @p42)) % 15.42/15.94 (step @p48 :rule implies_elim :premises (@p47)) % 15.42/15.94 (step @p49 :rule chain_m_resolution :premises (@p48 @p39) :args (@t46 @t37 (@list @t34))) % 15.42/15.94 (step @p50 :rule bool-double-not-elim :args (@t15)) % 15.42/15.94 (step @p51 :rule bool-double-not-elim :args (@t17)) % 15.42/15.94 (step @p52 :rule refl :args (@t23)) % 15.42/15.94 (step @p53 :rule nary_cong :premises (@p52 @p51 @p50) :args (@t49)) % 15.42/15.94 (step @p54 :rule aci_norm :args ((= (or @t23 (or @t48 @t47)) @t49))) % 15.42/15.94 (step @p55 :rule trans :premises (@p54 @p53)) % 15.42/15.94 (step @p56 :rule bool-and-de-morgan :args (@t18 @t16 true)) % 15.42/15.94 (step @p57 :rule nary_cong :premises (@p52 @p56) :args ((or @t23 (not (and @t18 @t16))))) % 15.42/15.94 (step @p58 :rule bool-and-de-morgan :args (@t19 @t18 (and @t16))) % 15.42/15.94 (step @p59 :rule trans :premises (@p58 @p57)) % 15.42/15.94 (step @p60 :rule trans :premises (@p59 @p55)) % 15.42/15.94 (step @p61 :rule cong :premises (@p60) :args (@t21)) % 15.42/15.94 (step @p62 :rule cong :premises (@p61) :args (@t22)) % 15.42/15.94 (step @p63 :rule eq_resolve :premises (@p5 @p62)) % 15.42/15.94 (step @p64 :rule skolemize :premises (@p63)) % 15.42/15.94 (step @p65 :rule cnf_or_neg :args (@t54 2)) % 15.42/15.94 (step @p66 :rule chain_m_resolution :premises (@p65 @p64) :args ((not @t41) @t55 @t56)) % 15.42/15.94 (step @p67 :rule cnf_or_neg :args (@t54 1)) % 15.42/15.94 (step @p68 :rule chain_m_resolution :premises (@p67 @p64) :args ((not @t40) @t55 @t56)) % 15.42/15.94 (step @p69 :rule cnf_or_pos :args (@t42)) % 15.42/15.94 (step @p70 :rule reordering :premises (@p69) :args ((or @t40 @t41 @t57))) % 15.42/15.94 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p66) :args (@t57 (@list true true) (@list @t40 @t41))) % 15.42/15.94 (step @p72 :rule cnf_equiv_pos1 :args (@t46)) % 15.42/15.94 (step @p73 :rule reordering :premises (@p72) :args ((or @t58 @t42 (not @t46)))) % 15.42/15.94 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p49) :args (@t58 (@list true false) (@list @t42 @t46))) % 15.42/15.94 (step @p75 :rule false_intro :premises (@p74)) % 15.42/15.94 (step @p76 :rule bool-double-not-elim :args (@t52)) % 15.42/15.94 (step @p77 :rule refl :args (@t54)) % 15.42/15.94 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t54 (not @t53)))) % 15.42/15.94 (step @p79 :rule cnf_or_neg :args (@t54 0)) % 15.42/15.94 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 15.42/15.94 (step @p81 :rule reordering :premises (@p80) :args ((or @t52 @t54))) % 15.42/15.94 (step @p82 :rule chain_m_resolution :premises (@p81 @p64) :args (@t52 @t55 @t56)) % 15.42/15.94 (step @p83 :rule refl :args (@t39)) % 15.42/15.94 (step @p84 :rule cong :premises (@p83 @p82) :args (@t59)) % 15.42/15.94 (step @p85 :rule bool-eq-true :args (@t61)) % 15.42/15.94 (step @p86 :rule eq-symm :args (true @t61)) % 15.42/15.94 (step @p87 :rule trans :premises (@p86 @p85)) % 15.42/15.94 (step @p88 :rule eq-symm :args (@t50 @t5)) % 15.42/15.94 (step @p89 :rule eq-symm :args (@t39 @t5)) % 15.42/15.94 (step @p90 :rule nary_cong :premises (@p89 @p88) :args (@t62)) % 15.42/15.94 (step @p91 :rule refl :args (@t60)) % 15.42/15.94 (step @p92 :rule cong :premises (@p91 @p90) :args (@t63)) % 15.42/15.94 (step @p93 :rule cong :premises (@p92) :args (@t64)) % 15.42/15.94 (step @p94 :rule eq-refl :args (@t51)) % 15.42/15.94 (step @p95 :rule cong :premises (@p94 @p93) :args (@t65)) % 15.42/15.94 (step @p96 :rule trans :premises (@p95 @p87)) % 15.42/15.94 (step @p97 :rule cong :premises (@p27 @p96) :args ((=> @t33 @t65))) % 15.42/15.94 (assume-push @p131 @t33) % 15.42/15.94 (step @p99 :rule instantiate :premises (@p16) :args ((@list @t39 @t50 @t51))) % 15.42/15.94 (step-pop @p132 :rule scope :premises (@p99)) % 15.42/15.94 (step @p100 :rule process_scope :premises (@p132) :args (@t65)) % 15.42/15.94 (step @p102 :rule eq_resolve :premises (@p100 @p97)) % 15.42/15.94 (step @p103 :rule implies_elim :premises (@p102)) % 15.42/15.94 (step @p104 :rule chain_m_resolution :premises (@p103 @p16) :args (@t61 @t37 @t38)) % 15.42/15.94 (step @p105 :rule bool-eq-true :args (@t59)) % 15.42/15.94 (step @p106 :rule absorb :args ((= (or true @t66) true))) % 15.42/15.94 (step @p107 :rule refl :args (@t66)) % 15.42/15.94 (step @p108 :rule eq-refl :args (@t39)) % 15.42/15.94 (step @p109 :rule nary_cong :premises (@p108 @p107) :args (@t67)) % 15.42/15.94 (step @p110 :rule trans :premises (@p109 @p106)) % 15.42/15.94 (step @p111 :rule refl :args (@t59)) % 15.42/15.94 (step @p112 :rule cong :premises (@p111 @p110) :args (@t68)) % 15.42/15.94 (step @p113 :rule trans :premises (@p112 @p105)) % 15.42/15.94 (step @p114 :rule refl :args (@t61)) % 15.42/15.94 (step @p115 :rule cong :premises (@p114 @p113) :args ((=> @t61 @t68))) % 15.42/15.94 (assume-push @p133 @t61) % 15.42/15.94 (step @p117 :rule instantiate :premises (@p104) :args (@t45)) % 15.42/15.94 (step-pop @p134 :rule scope :premises (@p117)) % 15.42/15.94 (step @p118 :rule process_scope :premises (@p134) :args (@t68)) % 15.42/15.94 (step @p120 :rule eq_resolve :premises (@p118 @p115)) % 15.42/15.94 (step @p121 :rule implies_elim :premises (@p120)) % 15.42/15.94 (step @p122 :rule chain_m_resolution :premises (@p121 @p104) :args (@t59 @t37 (@list @t61))) % 15.42/15.94 (step @p123 :rule true_intro :premises (@p122)) % 15.42/15.94 (step @p124 :rule symm :premises (@p123)) % 15.42/15.94 (step @p125 :rule trans :premises (@p124 @p84 @p75)) % 15.42/15.94 (step @p126 false :rule eq_resolve :premises (@p125 @p6)) % 15.42/15.94 ) % 15.42/15.94 % SZS output end Proof % 15.42/15.94 % cvc5 exiting %------------------------------------------------------------------------------