%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ022-1 : TPTP v9.2.1. Released v1.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:43:58 AM UTC 2026 % Result : Unsatisfiable 0.32s 0.57s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ022-1 : TPTP v9.2.1. Released v1.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n015.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 13:12:49 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.57 % SZS status Unsatisfiable % 0.32/0.57 % SZS output start Proof % 0.32/0.57 ( % 0.32/0.57 (declare-sort $$unsorted 0) % 0.32/0.57 (declare-const tptp.tasmania $$unsorted) % 0.32/0.57 (declare-const tptp.borders (-> $$unsorted $$unsorted Bool)) % 0.32/0.57 (declare-const tptp.atlantic $$unsorted) % 0.32/0.57 (declare-const tptp.northern_territory $$unsorted) % 0.32/0.57 (declare-const tptp.ocean (-> $$unsorted Bool)) % 0.32/0.57 (declare-const tptp.queensland $$unsorted) % 0.32/0.57 (declare-const tptp.indian $$unsorted) % 0.32/0.57 (declare-const tptp.south_australia $$unsorted) % 0.32/0.57 (declare-const tptp.pacific $$unsorted) % 0.32/0.57 (declare-const tptp.new_south_wales $$unsorted) % 0.32/0.57 (declare-const tptp.southern $$unsorted) % 0.32/0.57 (declare-const tptp.victoria $$unsorted) % 0.32/0.57 (declare-const tptp.western_australia $$unsorted) % 0.32/0.57 (declare-const tptp.state (-> $$unsorted Bool)) % 0.32/0.57 (define @t1 () (@var "Y" $$unsorted)) % 0.32/0.57 (define @t2 () (@var "X" $$unsorted)) % 0.32/0.57 (define @t3 () (tptp.ocean tptp.indian)) % 0.32/0.57 (define @t4 () (tptp.state tptp.western_australia)) % 0.32/0.57 (define @t5 () (tptp.state tptp.northern_territory)) % 0.32/0.57 (define @t6 () (tptp.borders tptp.western_australia tptp.northern_territory)) % 0.32/0.57 (define @t7 () (tptp.borders tptp.indian tptp.western_australia)) % 0.32/0.57 (define @t8 () (tptp.borders tptp.indian tptp.northern_territory)) % 0.32/0.57 (define @t9 () (@var "Ocean" $$unsorted)) % 0.32/0.57 (define @t10 () (@var "State2" $$unsorted)) % 0.32/0.57 (define @t11 () (@var "State1" $$unsorted)) % 0.32/0.57 (define @t12 () (forall (@list @t11 @t10 @t9) (or (not (tptp.state @t11)) (not (tptp.state @t10)) (not (tptp.borders @t11 @t10)) (not (tptp.borders @t11 @t9)) (not (tptp.borders @t10 @t9)) (not (tptp.ocean @t9))))) % 0.32/0.57 (define @t13 () (tptp.borders tptp.northern_territory tptp.western_australia)) % 0.32/0.57 (define @t14 () (not @t6)) % 0.32/0.57 (define @t15 () (or @t14 @t13)) % 0.32/0.57 (define @t16 () (@list false false)) % 0.32/0.57 (define @t17 () (tptp.borders tptp.northern_territory tptp.indian)) % 0.32/0.57 (define @t18 () (not @t8)) % 0.32/0.57 (define @t19 () (or @t18 @t17)) % 0.32/0.57 (define @t20 () (tptp.borders tptp.western_australia tptp.indian)) % 0.32/0.57 (define @t21 () (not @t7)) % 0.32/0.57 (define @t22 () (or @t21 @t20)) % 0.32/0.57 (define @t23 () (not @t3)) % 0.32/0.57 (define @t24 () (not @t20)) % 0.32/0.57 (define @t25 () (not @t17)) % 0.32/0.57 (define @t26 () (not @t13)) % 0.32/0.57 (define @t27 () (not @t4)) % 0.32/0.57 (define @t28 () (not @t5)) % 0.32/0.57 (define @t29 () (or @t28 @t27 @t26 @t25 @t24 @t23)) % 0.32/0.57 (define @t30 () (not @t29)) % 0.32/0.57 (assume @p1 (forall (@list @t1 @t2) (or (not (tptp.borders @t1 @t2)) (tptp.borders @t2 @t1)))) % 0.32/0.57 (assume @p2 (tptp.ocean tptp.atlantic)) % 0.32/0.57 (assume @p3 @t3) % 0.32/0.57 (assume @p4 (tptp.ocean tptp.pacific)) % 0.32/0.57 (assume @p5 (tptp.ocean tptp.southern)) % 0.32/0.57 (assume @p6 @t4) % 0.32/0.57 (assume @p7 @t5) % 0.32/0.57 (assume @p8 (tptp.state tptp.queensland)) % 0.32/0.57 (assume @p9 (tptp.state tptp.south_australia)) % 0.32/0.57 (assume @p10 (tptp.state tptp.new_south_wales)) % 0.32/0.57 (assume @p11 (tptp.state tptp.victoria)) % 0.32/0.57 (assume @p12 (tptp.state tptp.tasmania)) % 0.32/0.57 (assume @p13 @t6) % 0.32/0.57 (assume @p14 (tptp.borders tptp.western_australia tptp.south_australia)) % 0.32/0.57 (assume @p15 (tptp.borders tptp.south_australia tptp.northern_territory)) % 0.32/0.57 (assume @p16 (tptp.borders tptp.south_australia tptp.queensland)) % 0.32/0.57 (assume @p17 (tptp.borders tptp.south_australia tptp.new_south_wales)) % 0.32/0.57 (assume @p18 (tptp.borders tptp.south_australia tptp.victoria)) % 0.32/0.57 (assume @p19 (tptp.borders tptp.northern_territory tptp.queensland)) % 0.32/0.57 (assume @p20 (tptp.borders tptp.queensland tptp.new_south_wales)) % 0.32/0.57 (assume @p21 (tptp.borders tptp.new_south_wales tptp.victoria)) % 0.32/0.57 (assume @p22 @t7) % 0.32/0.57 (assume @p23 @t8) % 0.32/0.57 (assume @p24 (tptp.borders tptp.indian tptp.queensland)) % 0.32/0.57 (assume @p25 (tptp.borders tptp.southern tptp.western_australia)) % 0.32/0.57 (assume @p26 (tptp.borders tptp.southern tptp.south_australia)) % 0.32/0.57 (assume @p27 (tptp.borders tptp.southern tptp.victoria)) % 0.32/0.57 (assume @p28 (tptp.borders tptp.southern tptp.tasmania)) % 0.32/0.57 (assume @p29 (tptp.borders tptp.pacific tptp.queensland)) % 0.32/0.57 (assume @p30 (tptp.borders tptp.pacific tptp.new_south_wales)) % 0.32/0.57 (assume @p31 (tptp.borders tptp.pacific tptp.victoria)) % 0.32/0.57 (assume @p32 (tptp.borders tptp.pacific tptp.tasmania)) % 0.32/0.57 (assume @p33 @t12) % 0.32/0.57 (step @p34 :rule instantiate :premises (@p1) :args ((@list tptp.western_australia tptp.northern_territory))) % 0.32/0.57 (step @p35 :rule cnf_or_pos :args (@t15)) % 0.32/0.57 (step @p36 :rule reordering :premises (@p35) :args ((or @t14 @t13 (not @t15)))) % 0.32/0.57 (step @p37 :rule chain_m_resolution :premises (@p36 @p13 @p34) :args (@t13 @t16 (@list @t6 @t15))) % 0.32/0.57 (step @p38 :rule instantiate :premises (@p1) :args ((@list tptp.indian tptp.northern_territory))) % 0.32/0.57 (step @p39 :rule cnf_or_pos :args (@t19)) % 0.32/0.57 (step @p40 :rule reordering :premises (@p39) :args ((or @t18 @t17 (not @t19)))) % 0.32/0.57 (step @p41 :rule chain_m_resolution :premises (@p40 @p23 @p38) :args (@t17 @t16 (@list @t8 @t19))) % 0.32/0.57 (step @p42 :rule instantiate :premises (@p1) :args ((@list tptp.indian tptp.western_australia))) % 0.32/0.57 (step @p43 :rule cnf_or_pos :args (@t22)) % 0.32/0.57 (step @p44 :rule reordering :premises (@p43) :args ((or @t21 @t20 (not @t22)))) % 0.32/0.57 (step @p45 :rule chain_m_resolution :premises (@p44 @p22 @p42) :args (@t20 @t16 (@list @t7 @t22))) % 0.32/0.57 (step @p46 :rule cnf_or_pos :args (@t29)) % 0.32/0.57 (step @p47 :rule reordering :premises (@p46) :args ((or @t23 @t27 @t28 @t24 @t25 @t26 @t30))) % 0.32/0.57 (step @p48 :rule chain_m_resolution :premises (@p47 @p3 @p6 @p7 @p45 @p41 @p37) :args (@t30 (@list false false false false false false) (@list @t3 @t4 @t5 @t20 @t17 @t13))) % 0.32/0.57 (assume-push @p55 @t12) % 0.32/0.57 (step @p50 :rule instantiate :premises (@p33) :args ((@list tptp.northern_territory tptp.western_australia tptp.indian))) % 0.32/0.57 (step-pop @p56 :rule scope :premises (@p50)) % 0.32/0.57 (step @p51 :rule process_scope :premises (@p56) :args (@t29)) % 0.32/0.57 (step @p53 :rule implies_elim :premises (@p51)) % 0.32/0.57 (step @p54 false :rule chain_m_resolution :premises (@p53 @p48 @p33) :args (false (@list true false) (@list @t29 @t12))) % 0.32/0.57 ) % 0.32/0.57 % SZS output end Proof % 0.32/0.57 % cvc5 exiting %------------------------------------------------------------------------------