%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : REL003-1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:44:51 AM UTC 2026 % Result : Unsatisfiable 15.83s 16.11s % Output : Proof 15.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : REL003-1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 13:24:39 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.83/16.08 --- Run --no-e-matching --full-saturate-quant at 6... % 15.83/16.11 % SZS status Unsatisfiable % 15.83/16.11 % SZS output start Proof % 15.83/16.11 ( % 15.83/16.11 (declare-sort $$unsorted 0) % 15.83/16.11 (declare-const tptp.sk1 $$unsorted) % 15.83/16.11 (declare-const tptp.sk2 $$unsorted) % 15.83/16.11 (declare-const tptp.top $$unsorted) % 15.83/16.11 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 15.83/16.11 (declare-const tptp.one $$unsorted) % 15.83/16.11 (declare-const tptp.composition (-> $$unsorted $$unsorted $$unsorted)) % 15.83/16.11 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 15.83/16.11 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 15.83/16.11 (declare-const tptp.zero $$unsorted) % 15.83/16.11 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 15.83/16.11 (define @t1 () (@var "A" $$unsorted)) % 15.83/16.11 (define @t2 () (@var "B" $$unsorted)) % 15.83/16.11 (define @t3 () (tptp.join @t1 @t2)) % 15.83/16.11 (define @t4 () (@list @t1 @t2)) % 15.83/16.11 (define @t5 () (@var "C" $$unsorted)) % 15.83/16.11 (define @t6 () (@list @t1 @t2 @t5)) % 15.83/16.11 (define @t7 () (tptp.complement @t1)) % 15.83/16.11 (define @t8 () (tptp.complement @t2)) % 15.83/16.11 (define @t9 () (tptp.complement (tptp.join @t7 @t8))) % 15.83/16.11 (define @t10 () (tptp.composition @t1 @t2)) % 15.83/16.11 (define @t11 () (tptp.composition @t2 @t5)) % 15.83/16.11 (define @t12 () (@list @t1)) % 15.83/16.11 (define @t13 () (tptp.converse @t1)) % 15.83/16.11 (define @t14 () (tptp.converse @t13)) % 15.83/16.11 (define @t15 () (forall @t12 (= @t14 @t1))) % 15.83/16.11 (define @t16 () (tptp.converse @t2)) % 15.83/16.11 (define @t17 () (forall @t4 (= (tptp.converse @t3) (tptp.join @t13 @t16)))) % 15.83/16.11 (define @t18 () (tptp.converse tptp.sk2)) % 15.83/16.11 (define @t19 () (tptp.converse tptp.sk1)) % 15.83/16.11 (define @t20 () (tptp.join @t19 @t18)) % 15.83/16.11 (define @t21 () (= @t20 @t18)) % 15.83/16.11 (define @t22 () (tptp.join tptp.sk1 tptp.sk2)) % 15.83/16.11 (define @t23 () (= @t22 tptp.sk2)) % 15.83/16.11 (define @t24 () (or @t23 @t21)) % 15.83/16.11 (define @t25 () (not @t21)) % 15.83/16.11 (define @t26 () (not @t23)) % 15.83/16.11 (define @t27 () (or @t26 @t25)) % 15.83/16.11 (define @t28 () (tptp.converse @t22)) % 15.83/16.11 (define @t29 () (= @t28 @t20)) % 15.83/16.11 (define @t30 () (@list tptp.sk1 tptp.sk2)) % 15.83/16.11 (define @t31 () (= @t20 @t28)) % 15.83/16.11 (define @t32 () (= tptp.sk2 @t22)) % 15.83/16.11 (define @t33 () (= @t18 @t20)) % 15.83/16.11 (define @t34 () (and @t32 @t31)) % 15.83/16.11 (define @t35 () (not @t32)) % 15.83/16.11 (define @t36 () (tptp.converse @t18)) % 15.83/16.11 (define @t37 () (tptp.converse @t19)) % 15.83/16.11 (define @t38 () (tptp.join @t37 @t36)) % 15.83/16.11 (define @t39 () (tptp.converse @t20)) % 15.83/16.11 (define @t40 () (= @t39 @t38)) % 15.83/16.11 (define @t41 () (not @t40)) % 15.83/16.11 (define @t42 () (= tptp.sk2 @t36)) % 15.83/16.11 (define @t43 () (not @t42)) % 15.83/16.11 (define @t44 () (= tptp.sk1 @t37)) % 15.83/16.11 (define @t45 () (not @t44)) % 15.83/16.11 (define @t46 () (not @t33)) % 15.83/16.11 (define @t47 () (and @t33 @t35 @t44 @t42)) % 15.83/16.11 (assume @p1 (forall @t4 (= @t3 (tptp.join @t2 @t1)))) % 15.83/16.11 (assume @p2 (forall @t6 (= (tptp.join @t1 (tptp.join @t2 @t5)) (tptp.join @t3 @t5)))) % 15.83/16.11 (assume @p3 (forall @t4 (= @t1 (tptp.join @t9 (tptp.complement (tptp.join @t7 @t2)))))) % 15.83/16.11 (assume @p4 (forall @t4 (= (tptp.meet @t1 @t2) @t9))) % 15.83/16.11 (assume @p5 (forall @t6 (= (tptp.composition @t1 @t11) (tptp.composition @t10 @t5)))) % 15.83/16.11 (assume @p6 (forall @t12 (= (tptp.composition @t1 tptp.one) @t1))) % 15.83/16.11 (assume @p7 (forall @t6 (= (tptp.composition @t3 @t5) (tptp.join (tptp.composition @t1 @t5) @t11)))) % 15.83/16.11 (assume @p8 @t15) % 15.83/16.11 (assume @p9 @t17) % 15.83/16.11 (assume @p10 (forall @t4 (= (tptp.converse @t10) (tptp.composition @t16 @t13)))) % 15.83/16.11 (assume @p11 (forall @t4 (= (tptp.join (tptp.composition @t13 (tptp.complement @t10)) @t8) @t8))) % 15.83/16.11 (assume @p12 (forall @t12 (= tptp.top (tptp.join @t1 @t7)))) % 15.83/16.11 (assume @p13 (forall @t12 (= tptp.zero (tptp.meet @t1 @t7)))) % 15.83/16.11 (assume @p14 @t24) % 15.83/16.11 (assume @p15 @t27) % 15.83/16.11 (step @p16 :rule eq-symm :args (@t14 @t1)) % 15.83/16.11 (step @p17 :rule cong :premises (@p16) :args (@t15)) % 15.83/16.11 (step @p18 :rule eq_resolve :premises (@p8 @p17)) % 15.83/16.11 (step @p19 :rule instantiate :premises (@p18) :args ((@list tptp.sk2))) % 15.83/16.11 (step @p20 :rule instantiate :premises (@p18) :args ((@list tptp.sk1))) % 15.83/16.11 (step @p21 :rule eq-symm :args (@t20 @t18)) % 15.83/16.11 (step @p22 :rule cong :premises (@p21) :args (@t25)) % 15.83/16.11 (step @p23 :rule eq-symm :args (@t22 tptp.sk2)) % 15.83/16.11 (step @p24 :rule cong :premises (@p23) :args (@t26)) % 15.83/16.11 (step @p25 :rule nary_cong :premises (@p24 @p22) :args (@t27)) % 15.83/16.11 (step @p26 :rule eq_resolve :premises (@p15 @p25)) % 15.83/16.11 (step @p27 :rule eq-symm :args (@t28 @t20)) % 15.83/16.11 (step @p28 :rule refl :args (@t17)) % 15.83/16.11 (step @p29 :rule cong :premises (@p28 @p27) :args ((=> @t17 @t29))) % 15.83/16.11 (assume-push @p107 @t17) % 15.83/16.11 (step @p31 :rule instantiate :premises (@p9) :args (@t30)) % 15.83/16.11 (step-pop @p108 :rule scope :premises (@p31)) % 15.83/16.11 (step @p32 :rule process_scope :premises (@p108) :args (@t29)) % 15.83/16.11 (step @p34 :rule eq_resolve :premises (@p32 @p29)) % 15.83/16.11 (step @p35 :rule implies_elim :premises (@p34)) % 15.83/16.11 (step @p36 :rule chain_m_resolution :premises (@p35 @p9) :args (@t31 (@list false) (@list @t17))) % 15.83/16.11 (assume-push @p109 @t32) % 15.83/16.11 (assume-push @p110 @t31) % 15.83/16.11 (assume-push @p111 @t31) % 15.83/16.11 (assume-push @p112 @t32) % 15.83/16.11 (step @p31 :rule instantiate :premises (@p9) :args (@t30)) % 15.83/16.11 (step @p41 :rule cong :premises (@p109) :args (@t18)) % 15.83/16.11 (step @p42 :rule trans :premises (@p41 @p31)) % 15.83/16.11 (step-pop @p113 :rule scope :premises (@p42)) % 15.83/16.11 (step-pop @p114 :rule scope :premises (@p113)) % 15.83/16.11 (step @p43 :rule process_scope :premises (@p114) :args (@t33)) % 15.83/16.11 (step @p46 :rule and_intro :premises (@p36 @p109)) % 15.83/16.11 (step @p47 :rule modus_ponens :premises (@p46 @p43)) % 15.83/16.11 (step-pop @p115 :rule scope :premises (@p47)) % 15.83/16.11 (step-pop @p116 :rule scope :premises (@p115)) % 15.83/16.11 (step @p48 :rule process_scope :premises (@p116) :args (@t33)) % 15.83/16.11 (step @p51 :rule implies_elim :premises (@p48)) % 15.83/16.11 (step @p52 :rule cnf_and_neg :args (@t34)) % 15.83/16.11 (step @p53 :rule resolution :premises (@p52 @p51) :args (true @t34)) % 15.83/16.11 (step @p54 :rule reordering :premises (@p53) :args ((or @t33 @t35 (not @t31)))) % 15.83/16.11 (step @p55 :rule chain_m_resolution :premises (@p54 @p36 @p26) :args (@t35 (@list false true) (@list @t31 @t33))) % 15.83/16.11 (step @p56 :rule nary_cong :premises (@p23 @p21) :args (@t24)) % 15.83/16.11 (step @p57 :rule eq_resolve :premises (@p14 @p56)) % 15.83/16.11 (step @p58 :rule chain_m_resolution :premises (@p57 @p55) :args (@t33 (@list true) (@list @t32))) % 15.83/16.11 (step @p59 :rule refl :args (@t41)) % 15.83/16.11 (step @p60 :rule refl :args (@t43)) % 15.83/16.11 (step @p61 :rule refl :args (@t45)) % 15.83/16.11 (step @p62 :rule bool-double-not-elim :args (@t32)) % 15.83/16.11 (step @p63 :rule refl :args (@t46)) % 15.83/16.11 (step @p64 :rule nary_cong :premises (@p63 @p62 @p61 @p60 @p59) :args ((or @t46 (not @t35) @t45 @t43 @t41))) % 15.83/16.11 (assume-push @p117 @t33) % 15.83/16.11 (assume-push @p118 @t35) % 15.83/16.11 (assume-push @p119 @t44) % 15.83/16.11 (assume-push @p120 @t42) % 15.83/16.11 (assume-push @p121 @t42) % 15.83/16.11 (assume-push @p122 @t33) % 15.83/16.11 (assume-push @p123 @t35) % 15.83/16.11 (assume-push @p124 @t44) % 15.83/16.11 (step @p73 :rule false_intro :premises (@p118)) % 15.83/16.11 (step @p74 :rule symm :premises (@p19)) % 15.83/16.11 (step @p75 :rule symm :premises (@p20)) % 15.83/16.11 (step @p76 :rule cong :premises (@p75 @p74) :args (@t38)) % 15.83/16.11 (step @p77 :rule symm :premises (@p117)) % 15.83/16.11 (step @p78 :rule cong :premises (@p77) :args (@t39)) % 15.83/16.11 (step @p79 :rule trans :premises (@p78 @p74)) % 15.83/16.11 (step @p80 :rule cong :premises (@p79 @p76) :args (@t40)) % 15.83/16.11 (step @p81 :rule trans :premises (@p80 @p73)) % 15.83/16.11 (step @p82 :rule false_elim :premises (@p81)) % 15.83/16.11 (step-pop @p125 :rule scope :premises (@p82)) % 15.83/16.11 (step-pop @p126 :rule scope :premises (@p125)) % 15.83/16.11 (step-pop @p127 :rule scope :premises (@p126)) % 15.83/16.11 (step-pop @p128 :rule scope :premises (@p127)) % 15.83/16.11 (step @p83 :rule process_scope :premises (@p128) :args (@t41)) % 15.83/16.11 (step @p88 :rule and_intro :premises (@p19 @p117 @p118 @p20)) % 15.83/16.11 (step @p89 :rule modus_ponens :premises (@p88 @p83)) % 15.83/16.11 (step-pop @p129 :rule scope :premises (@p89)) % 15.83/16.11 (step-pop @p130 :rule scope :premises (@p129)) % 15.83/16.11 (step-pop @p131 :rule scope :premises (@p130)) % 15.83/16.11 (step-pop @p132 :rule scope :premises (@p131)) % 15.83/16.11 (step @p90 :rule process_scope :premises (@p132) :args (@t41)) % 15.83/16.11 (step @p95 :rule implies_elim :premises (@p90)) % 15.83/16.11 (step @p96 :rule cnf_and_neg :args (@t47)) % 15.83/16.11 (step @p97 :rule resolution :premises (@p96 @p95) :args (true @t47)) % 15.83/16.11 (step @p98 :rule eq_resolve :premises (@p97 @p64)) % 15.83/16.11 (step @p99 :rule reordering :premises (@p98) :args ((or @t32 @t46 @t45 @t43 @t41))) % 15.83/16.11 (step @p100 :rule chain_m_resolution :premises (@p99 @p55 @p58 @p20 @p19) :args (@t41 (@list true false false false) (@list @t32 @t33 @t44 @t42))) % 15.83/16.11 (assume-push @p133 @t17) % 15.83/16.11 (step @p102 :rule instantiate :premises (@p9) :args ((@list @t19 @t18))) % 15.83/16.11 (step-pop @p134 :rule scope :premises (@p102)) % 15.83/16.11 (step @p103 :rule process_scope :premises (@p134) :args (@t40)) % 15.83/16.11 (step @p105 :rule implies_elim :premises (@p103)) % 15.83/16.11 (step @p106 false :rule chain_m_resolution :premises (@p105 @p100 @p9) :args (false (@list true false) (@list @t40 @t17))) % 15.83/16.11 ) % 15.83/16.11 % SZS output end Proof % 15.83/16.11 % cvc5 exiting %------------------------------------------------------------------------------