%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG002-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:04:54 AM UTC 2026 % Result : Unsatisfiable 15.85s 16.10s % Output : Proof 15.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG002-1 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n023.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Jun 3 01:36:28 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.52/15.70 --- Run --no-e-matching --full-saturate-quant at 6... % 15.85/16.10 % SZS status Unsatisfiable % 15.85/16.10 % SZS output start Proof % 15.85/16.10 ( % 15.85/16.10 (declare-sort $$unsorted 0) % 15.85/16.10 (declare-const tptp.a $$unsorted) % 15.85/16.10 (declare-const tptp.greater_than_0 (-> $$unsorted Bool)) % 15.85/16.10 (declare-const tptp.multiplicative_inverse (-> $$unsorted $$unsorted)) % 15.85/16.10 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 15.85/16.10 (declare-const tptp.additive_identity $$unsorted) % 15.85/16.10 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.85/16.10 (declare-const tptp.multiplicative_identity $$unsorted) % 15.85/16.10 (define @t1 () (@var "X" $$unsorted)) % 15.85/16.10 (define @t2 () (@list @t1)) % 15.85/16.10 (define @t3 () (tptp.product tptp.multiplicative_identity tptp.multiplicative_identity tptp.additive_identity)) % 15.85/16.10 (define @t4 () (@var "Z" $$unsorted)) % 15.85/16.10 (define @t5 () (@var "Y" $$unsorted)) % 15.85/16.10 (define @t6 () (tptp.additive_inverse @t5)) % 15.85/16.10 (define @t7 () (tptp.additive_inverse @t1)) % 15.85/16.10 (define @t8 () (tptp.product @t7 @t6 @t4)) % 15.85/16.10 (define @t9 () (tptp.product @t1 @t5 @t4)) % 15.85/16.10 (define @t10 () (not @t9)) % 15.85/16.10 (define @t11 () (@list @t1 @t5 @t4)) % 15.85/16.10 (define @t12 () (tptp.product @t1 @t1 tptp.additive_identity)) % 15.85/16.10 (define @t13 () (tptp.greater_than_0 @t7)) % 15.85/16.10 (define @t14 () (tptp.greater_than_0 @t1)) % 15.85/16.10 (define @t15 () (not @t14)) % 15.85/16.10 (define @t16 () (not (tptp.product @t5 @t4 @t1))) % 15.85/16.10 (define @t17 () (@list @t5 @t4 @t1)) % 15.85/16.10 (define @t18 () (forall @t17 (or @t16 (not (tptp.product @t5 @t5 tptp.additive_identity)) @t12))) % 15.85/16.10 (define @t19 () (tptp.greater_than_0 tptp.a)) % 15.85/16.10 (define @t20 () (tptp.multiplicative_inverse tptp.a)) % 15.85/16.10 (define @t21 () (tptp.greater_than_0 @t20)) % 15.85/16.10 (define @t22 () (@list tptp.a @t20 tptp.multiplicative_identity)) % 15.85/16.10 (define @t23 () (@list tptp.a)) % 15.85/16.10 (define @t24 () (tptp.product tptp.a tptp.a tptp.additive_identity)) % 15.85/16.10 (define @t25 () (not @t24)) % 15.85/16.10 (define @t26 () (not @t19)) % 15.85/16.10 (define @t27 () (or @t26 @t25)) % 15.85/16.10 (define @t28 () (@list false false)) % 15.85/16.10 (define @t29 () (tptp.product tptp.a @t20 tptp.multiplicative_identity)) % 15.85/16.10 (define @t30 () (or @t29 @t24)) % 15.85/16.10 (define @t31 () (@list true false)) % 15.85/16.10 (define @t32 () (tptp.product @t20 tptp.a tptp.multiplicative_identity)) % 15.85/16.10 (define @t33 () (not @t29)) % 15.85/16.10 (define @t34 () (or @t33 @t32)) % 15.85/16.10 (define @t35 () (tptp.additive_inverse tptp.multiplicative_identity)) % 15.85/16.10 (define @t36 () (tptp.additive_inverse @t20)) % 15.85/16.10 (define @t37 () (tptp.product tptp.a @t36 @t35)) % 15.85/16.10 (define @t38 () (or @t33 @t37)) % 15.85/16.10 (define @t39 () (@list tptp.multiplicative_identity)) % 15.85/16.10 (define @t40 () (tptp.greater_than_0 @t35)) % 15.85/16.10 (define @t41 () (tptp.greater_than_0 tptp.multiplicative_identity)) % 15.85/16.10 (define @t42 () (or @t41 @t3 @t40)) % 15.85/16.10 (define @t43 () (tptp.product @t35 @t35 tptp.multiplicative_identity)) % 15.85/16.10 (define @t44 () (tptp.product tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity)) % 15.85/16.10 (define @t45 () (not @t44)) % 15.85/16.10 (define @t46 () (or @t45 @t43)) % 15.85/16.10 (define @t47 () (not @t40)) % 15.85/16.10 (define @t48 () (not @t43)) % 15.85/16.10 (define @t49 () (or @t48 @t47 @t47 @t41)) % 15.85/16.10 (define @t50 () (not @t41)) % 15.85/16.10 (define @t51 () (or @t50 @t47)) % 15.85/16.10 (define @t52 () (tptp.greater_than_0 @t36)) % 15.85/16.10 (define @t53 () (not @t52)) % 15.85/16.10 (define @t54 () (not @t37)) % 15.85/16.10 (define @t55 () (or @t54 @t26 @t53 @t40)) % 15.85/16.10 (define @t56 () (tptp.product @t20 @t20 tptp.additive_identity)) % 15.85/16.10 (define @t57 () (or @t21 @t56 @t52)) % 15.85/16.10 (define @t58 () (not @t56)) % 15.85/16.10 (define @t59 () (not @t32)) % 15.85/16.10 (define @t60 () (or @t59 @t58 @t3)) % 15.85/16.10 (define @t61 () (not @t60)) % 15.85/16.10 (assume @p1 (forall @t2 (tptp.product @t1 tptp.multiplicative_identity @t1))) % 15.85/16.10 (assume @p2 (not @t3)) % 15.85/16.10 (assume @p3 (forall @t11 (or @t10 @t8))) % 15.85/16.10 (assume @p4 (forall @t11 (or @t9 (not @t8)))) % 15.85/16.10 (assume @p5 (forall @t11 (or @t10 (tptp.product @t1 @t6 (tptp.additive_inverse @t4))))) % 15.85/16.10 (assume @p6 (forall @t2 (or (tptp.product @t1 (tptp.multiplicative_inverse @t1) tptp.multiplicative_identity) @t12))) % 15.85/16.10 (assume @p7 (forall @t2 (or @t15 (not @t13)))) % 15.85/16.10 (assume @p8 (forall @t2 (or @t15 (not @t12)))) % 15.85/16.10 (assume @p9 (forall @t11 (or @t10 (tptp.product @t5 @t1 @t4)))) % 15.85/16.10 (assume @p10 (forall @t2 (or @t14 @t12 @t13))) % 15.85/16.10 (assume @p11 @t18) % 15.85/16.10 (assume @p12 (forall @t17 (or @t16 (not (tptp.greater_than_0 @t5)) (not (tptp.greater_than_0 @t4)) @t14))) % 15.85/16.10 (assume @p13 @t19) % 15.85/16.10 (assume @p14 (not @t21)) % 15.85/16.10 (step @p15 :rule instantiate :premises (@p9) :args (@t22)) % 15.85/16.10 (step @p16 :rule instantiate :premises (@p6) :args (@t23)) % 15.85/16.10 (step @p17 :rule instantiate :premises (@p8) :args (@t23)) % 15.85/16.10 (step @p18 :rule cnf_or_pos :args (@t27)) % 15.85/16.10 (step @p19 :rule reordering :premises (@p18) :args ((or @t26 @t25 (not @t27)))) % 15.85/16.10 (step @p20 :rule chain_m_resolution :premises (@p19 @p13 @p17) :args (@t25 @t28 (@list @t19 @t27))) % 15.85/16.10 (step @p21 :rule cnf_or_pos :args (@t30)) % 15.85/16.10 (step @p22 :rule reordering :premises (@p21) :args ((or @t24 @t29 (not @t30)))) % 15.85/16.10 (step @p23 :rule chain_m_resolution :premises (@p22 @p20 @p16) :args (@t29 @t31 (@list @t24 @t30))) % 15.85/16.10 (step @p24 :rule cnf_or_pos :args (@t34)) % 15.85/16.10 (step @p25 :rule reordering :premises (@p24) :args ((or @t33 @t32 (not @t34)))) % 15.85/16.10 (step @p26 :rule chain_m_resolution :premises (@p25 @p23 @p15) :args (@t32 @t28 (@list @t29 @t34))) % 15.85/16.10 (step @p27 :rule instantiate :premises (@p10) :args ((@list @t20))) % 15.85/16.10 (step @p28 :rule instantiate :premises (@p12) :args ((@list tptp.a @t36 @t35))) % 15.85/16.10 (step @p29 :rule instantiate :premises (@p5) :args (@t22)) % 15.85/16.10 (step @p30 :rule cnf_or_pos :args (@t38)) % 15.85/16.10 (step @p31 :rule reordering :premises (@p30) :args ((or @t33 @t37 (not @t38)))) % 15.85/16.10 (step @p32 :rule chain_m_resolution :premises (@p31 @p23 @p29) :args (@t37 @t28 (@list @t29 @t38))) % 15.85/16.10 (step @p33 :rule instantiate :premises (@p7) :args (@t39)) % 15.85/16.10 (step @p34 :rule instantiate :premises (@p10) :args (@t39)) % 15.85/16.10 (step @p35 :rule cnf_or_pos :args (@t42)) % 15.85/16.10 (step @p36 :rule reordering :premises (@p35) :args ((or @t3 @t41 @t40 (not @t42)))) % 15.85/16.10 (step @p37 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity))) % 15.85/16.10 (step @p38 :rule instantiate :premises (@p1) :args (@t39)) % 15.85/16.10 (step @p39 :rule cnf_or_pos :args (@t46)) % 15.85/16.10 (step @p40 :rule reordering :premises (@p39) :args ((or @t45 @t43 (not @t46)))) % 15.85/16.10 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p37) :args (@t43 @t28 (@list @t44 @t46))) % 15.85/16.10 (step @p42 :rule instantiate :premises (@p12) :args ((@list @t35 @t35 tptp.multiplicative_identity))) % 15.85/16.10 (step @p43 :rule cnf_or_pos :args (@t49)) % 15.85/16.10 (step @p44 :rule factoring :premises (@p43)) % 15.85/16.10 (step @p45 :rule reordering :premises (@p44) :args ((or @t48 @t41 @t47 (not @t49)))) % 15.85/16.10 (step @p46 :rule chain_m_resolution :premises (@p45 @p42 @p41 @p36 @p34 @p2) :args (@t41 (@list false false false false true) (@list @t49 @t43 @t40 @t42 @t3))) % 15.85/16.10 (step @p47 :rule cnf_or_pos :args (@t51)) % 15.85/16.10 (step @p48 :rule reordering :premises (@p47) :args ((or @t50 @t47 (not @t51)))) % 15.85/16.10 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p33) :args (@t47 @t28 (@list @t41 @t51))) % 15.85/16.10 (step @p50 :rule cnf_or_pos :args (@t55)) % 15.85/16.10 (step @p51 :rule reordering :premises (@p50) :args ((or @t26 @t40 @t53 @t54 (not @t55)))) % 15.85/16.10 (step @p52 :rule chain_m_resolution :premises (@p51 @p13 @p49 @p32 @p28) :args (@t53 (@list false true false false) (@list @t19 @t40 @t37 @t55))) % 15.85/16.10 (step @p53 :rule cnf_or_pos :args (@t57)) % 15.85/16.10 (step @p54 :rule reordering :premises (@p53) :args ((or @t21 @t56 @t52 (not @t57)))) % 15.85/16.10 (step @p55 :rule chain_m_resolution :premises (@p54 @p14 @p52 @p27) :args (@t56 (@list true true false) (@list @t21 @t52 @t57))) % 15.85/16.10 (step @p56 :rule cnf_or_pos :args (@t60)) % 15.85/16.10 (step @p57 :rule reordering :premises (@p56) :args ((or @t3 @t58 @t59 @t61))) % 15.85/16.10 (step @p58 :rule chain_m_resolution :premises (@p57 @p2 @p55 @p26) :args (@t61 (@list true false false) (@list @t3 @t56 @t32))) % 15.85/16.10 (assume-push @p65 @t18) % 15.85/16.10 (step @p60 :rule instantiate :premises (@p11) :args ((@list @t20 tptp.a tptp.multiplicative_identity))) % 15.85/16.10 (step-pop @p66 :rule scope :premises (@p60)) % 15.85/16.10 (step @p61 :rule process_scope :premises (@p66) :args (@t60)) % 15.85/16.10 (step @p63 :rule implies_elim :premises (@p61)) % 15.85/16.10 (step @p64 false :rule chain_m_resolution :premises (@p63 @p58 @p11) :args (false @t31 (@list @t60 @t18))) % 15.85/16.10 ) % 15.85/16.10 % SZS output end Proof % 15.85/16.10 % cvc5 exiting %------------------------------------------------------------------------------