%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN345-1 : TPTP v9.2.1. Released v1.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 09:08:38 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN345-1 : TPTP v9.2.1. Released v1.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n009.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 23:23:59 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Unsatisfiable % 0.39/0.57 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.z (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.f (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.a $$unsorted) % 0.39/0.58 (declare-const tptp.b $$unsorted) % 0.39/0.58 (define @t1 () (tptp.f tptp.a tptp.b tptp.b)) % 0.39/0.58 (define @t2 () (tptp.f tptp.a tptp.a tptp.b)) % 0.39/0.58 (define @t3 () (not @t2)) % 0.39/0.58 (define @t4 () (@var "Y1" $$unsorted)) % 0.39/0.58 (define @t5 () (tptp.f tptp.a tptp.b @t4)) % 0.39/0.58 (define @t6 () (or @t5 @t3 @t1)) % 0.39/0.58 (define @t7 () (@list @t4)) % 0.39/0.58 (define @t8 () (forall @t7 @t6)) % 0.39/0.58 (define @t9 () (@var "Y2" $$unsorted)) % 0.39/0.58 (define @t10 () (tptp.z @t4 @t9)) % 0.39/0.58 (define @t11 () (not @t1)) % 0.39/0.58 (define @t12 () (tptp.f tptp.b @t4 @t9)) % 0.39/0.58 (define @t13 () (or @t12 @t2 @t11)) % 0.39/0.58 (define @t14 () (@list @t4 @t9)) % 0.39/0.58 (define @t15 () (forall @t14 @t13)) % 0.39/0.58 (define @t16 () (not (tptp.f @t4 @t10 @t10))) % 0.39/0.58 (define @t17 () (or @t16 @t2 @t11)) % 0.39/0.58 (define @t18 () (forall @t14 @t17)) % 0.39/0.58 (define @t19 () (tptp.f @t4 @t9 @t10)) % 0.39/0.58 (define @t20 () (or @t19 @t2 @t1)) % 0.39/0.58 (define @t21 () (forall @t14 @t20)) % 0.39/0.58 (define @t22 () (or @t19 @t3 @t11)) % 0.39/0.58 (define @t23 () (forall @t14 @t22)) % 0.39/0.58 (define @t24 () (not (tptp.f tptp.b tptp.b @t4))) % 0.39/0.58 (define @t25 () (or @t24 @t2 @t1)) % 0.39/0.58 (define @t26 () (forall @t7 @t25)) % 0.39/0.58 (define @t27 () (or @t24 @t3 @t11)) % 0.39/0.58 (define @t28 () (forall @t7 @t27)) % 0.39/0.58 (define @t29 () (forall @t14 @t12)) % 0.39/0.58 (define @t30 () (or @t2 @t11 @t12)) % 0.39/0.58 (define @t31 () (forall @t14 @t16)) % 0.39/0.58 (define @t32 () (or @t2 @t11 @t16)) % 0.39/0.58 (define @t33 () (forall @t14 @t19)) % 0.39/0.58 (define @t34 () (@quantifiers_skolemize @t33 1)) % 0.39/0.58 (define @t35 () (tptp.z tptp.b @t34)) % 0.39/0.58 (define @t36 () (tptp.f tptp.b @t35 @t35)) % 0.39/0.58 (define @t37 () (or @t2 @t1 @t19)) % 0.39/0.58 (define @t38 () (forall @t7 @t24)) % 0.39/0.58 (define @t39 () (or @t2 @t1 @t24)) % 0.39/0.58 (define @t40 () (tptp.z tptp.b tptp.b)) % 0.39/0.58 (define @t41 () (tptp.f tptp.b tptp.b @t40)) % 0.39/0.58 (define @t42 () (forall @t7 @t5)) % 0.39/0.58 (define @t43 () (or @t3 @t1 @t5)) % 0.39/0.58 (define @t44 () (@list false false)) % 0.39/0.58 (define @t45 () (or @t3 @t11 @t24)) % 0.39/0.58 (define @t46 () (@list @t2 @t1)) % 0.39/0.58 (define @t47 () (or @t3 @t11 @t19)) % 0.39/0.58 (assume @p1 @t8) % 0.39/0.58 (assume @p2 (forall (@list @t9 @t4) (or (not (tptp.f @t9 @t4 @t10)) @t3 @t1))) % 0.39/0.58 (assume @p3 @t15) % 0.39/0.58 (assume @p4 @t18) % 0.39/0.58 (assume @p5 @t21) % 0.39/0.58 (assume @p6 @t23) % 0.39/0.58 (assume @p7 @t26) % 0.39/0.58 (assume @p8 @t28) % 0.39/0.58 (step @p9 :rule quant-miniscope-or :args ((= (forall @t14 @t30) (or @t2 @t11 @t29)))) % 0.39/0.58 (step @p10 :rule aci_norm :args ((= @t13 @t30))) % 0.39/0.58 (step @p11 :rule cong :premises (@p10) :args (@t15)) % 0.39/0.58 (step @p12 :rule trans :premises (@p11 @p9)) % 0.39/0.58 (step @p13 :rule eq_resolve :premises (@p3 @p12)) % 0.39/0.58 (step @p14 :rule quant-miniscope-or :args ((= (forall @t14 @t32) (or @t2 @t11 @t31)))) % 0.39/0.58 (step @p15 :rule aci_norm :args ((= @t17 @t32))) % 0.39/0.58 (step @p16 :rule cong :premises (@p15) :args (@t18)) % 0.39/0.58 (step @p17 :rule trans :premises (@p16 @p14)) % 0.39/0.58 (step @p18 :rule eq_resolve :premises (@p4 @p17)) % 0.39/0.58 (assume-push @p77 @t31) % 0.39/0.58 (step @p20 :rule instantiate :premises (@p77) :args ((@list tptp.b @t34))) % 0.39/0.58 (step-pop @p78 :rule scope :premises (@p20)) % 0.39/0.58 (step @p21 :rule process_scope :premises (@p78) :args ((not @t36))) % 0.39/0.58 (step @p23 :rule implies_elim :premises (@p21)) % 0.39/0.58 (assume-push @p79 @t29) % 0.39/0.58 (step @p25 :rule instantiate :premises (@p79) :args ((@list @t35 @t35))) % 0.39/0.58 (step-pop @p80 :rule scope :premises (@p25)) % 0.39/0.58 (step @p26 :rule process_scope :premises (@p80) :args (@t36)) % 0.39/0.58 (step @p28 :rule implies_elim :premises (@p26)) % 0.39/0.58 (step @p29 :rule chain_m_resolution :premises (@p28 @p23 @p18 @p13) :args ((or @t2 @t11) (@list true false false) (@list @t36 @t31 @t29))) % 0.39/0.58 (step @p30 :rule quant-miniscope-or :args ((= (forall @t14 @t37) (or @t2 @t1 @t33)))) % 0.39/0.58 (step @p31 :rule aci_norm :args ((= @t20 @t37))) % 0.39/0.58 (step @p32 :rule cong :premises (@p31) :args (@t21)) % 0.39/0.58 (step @p33 :rule trans :premises (@p32 @p30)) % 0.39/0.58 (step @p34 :rule eq_resolve :premises (@p5 @p33)) % 0.39/0.58 (step @p35 :rule quant-miniscope-or :args ((= (forall @t7 @t39) (or @t2 @t1 @t38)))) % 0.39/0.58 (step @p36 :rule aci_norm :args ((= @t25 @t39))) % 0.39/0.58 (step @p37 :rule cong :premises (@p36) :args (@t26)) % 0.39/0.58 (step @p38 :rule trans :premises (@p37 @p35)) % 0.39/0.58 (step @p39 :rule eq_resolve :premises (@p7 @p38)) % 0.39/0.58 (assume-push @p81 @t33) % 0.39/0.58 (step @p41 :rule instantiate :premises (@p81) :args ((@list tptp.b tptp.b))) % 0.39/0.58 (step-pop @p82 :rule scope :premises (@p41)) % 0.39/0.58 (step @p42 :rule process_scope :premises (@p82) :args (@t41)) % 0.39/0.58 (step @p44 :rule implies_elim :premises (@p42)) % 0.39/0.58 (assume-push @p83 @t38) % 0.39/0.58 (step @p46 :rule instantiate :premises (@p83) :args ((@list @t40))) % 0.39/0.58 (step-pop @p84 :rule scope :premises (@p46)) % 0.39/0.58 (step @p47 :rule process_scope :premises (@p84) :args ((not @t41))) % 0.39/0.58 (step @p49 :rule implies_elim :premises (@p47)) % 0.39/0.58 (step @p50 :rule chain_m_resolution :premises (@p49 @p44 @p39 @p34 @p29) :args (@t2 (@list false false false true) (@list @t41 @t38 @t33 @t1))) % 0.39/0.58 (step @p51 :rule quant-miniscope-or :args ((= (forall @t7 @t43) (or @t3 @t1 @t42)))) % 0.39/0.58 (step @p52 :rule aci_norm :args ((= @t6 @t43))) % 0.39/0.58 (step @p53 :rule cong :premises (@p52) :args (@t8)) % 0.39/0.58 (step @p54 :rule trans :premises (@p53 @p51)) % 0.39/0.58 (step @p55 :rule eq_resolve :premises (@p1 @p54)) % 0.39/0.58 (assume-push @p85 @t42) % 0.39/0.58 (step @p57 :rule instantiate :premises (@p85) :args ((@list tptp.b))) % 0.39/0.58 (step-pop @p86 :rule scope :premises (@p57)) % 0.39/0.58 (step @p58 :rule process_scope :premises (@p86) :args (@t1)) % 0.39/0.58 (step @p60 :rule implies_elim :premises (@p58)) % 0.39/0.58 (step @p61 :rule reordering :premises (@p60) :args ((or @t1 (not @t42)))) % 0.39/0.58 (step @p62 :rule chain_m_resolution :premises (@p61 @p55 @p50) :args (@t1 @t44 (@list @t42 @t2))) % 0.39/0.58 (step @p63 :rule quant-miniscope-or :args ((= (forall @t7 @t45) (or @t3 @t11 @t38)))) % 0.39/0.58 (step @p64 :rule aci_norm :args ((= @t27 @t45))) % 0.39/0.58 (step @p65 :rule cong :premises (@p64) :args (@t28)) % 0.39/0.58 (step @p66 :rule trans :premises (@p65 @p63)) % 0.39/0.58 (step @p67 :rule eq_resolve :premises (@p8 @p66)) % 0.39/0.58 (step @p68 :rule chain_m_resolution :premises (@p67 @p50 @p62) :args (@t38 @t44 @t46)) % 0.39/0.58 (step @p69 :rule quant-miniscope-or :args ((= (forall @t14 @t47) (or @t3 @t11 @t33)))) % 0.39/0.58 (step @p70 :rule aci_norm :args ((= @t22 @t47))) % 0.39/0.58 (step @p71 :rule cong :premises (@p70) :args (@t23)) % 0.39/0.58 (step @p72 :rule trans :premises (@p71 @p69)) % 0.39/0.58 (step @p73 :rule eq_resolve :premises (@p6 @p72)) % 0.39/0.58 (step @p74 :rule chain_m_resolution :premises (@p73 @p50 @p62) :args (@t33 @t44 @t46)) % 0.39/0.58 (step @p75 :rule chain_m_resolution :premises (@p44 @p74) :args (@t41 (@list false) (@list @t33))) % 0.39/0.58 (step @p76 false :rule chain_m_resolution :premises (@p49 @p75 @p68) :args (false @t44 (@list @t41 @t38))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------