%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LDA001-1 : 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 : n008.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 08:35:16 AM UTC 2026 % Result : Unsatisfiable 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LDA001-1 : 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 % 0.17/0.34 % Computer : n008.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 09:32:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----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... % 0.30/0.55 % SZS status Unsatisfiable % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort $$unsorted 0) % 0.30/0.55 (declare-const tptp.u $$unsorted) % 0.30/0.55 (declare-const tptp.n3 $$unsorted) % 0.30/0.55 (declare-const tptp.n2 $$unsorted) % 0.30/0.55 (declare-const tptp.n1 $$unsorted) % 0.30/0.55 (declare-const tptp.f (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (define @t1 () (@var "Z" $$unsorted)) % 0.30/0.55 (define @t2 () (@var "X" $$unsorted)) % 0.30/0.55 (define @t3 () (@var "Y" $$unsorted)) % 0.30/0.55 (define @t4 () (forall (@list @t2 @t3 @t1) (= (tptp.f @t2 (tptp.f @t3 @t1)) (tptp.f (tptp.f @t2 @t3) (tptp.f @t2 @t1))))) % 0.30/0.55 (define @t5 () (tptp.f tptp.n1 tptp.n1)) % 0.30/0.55 (define @t6 () (tptp.f tptp.n2 tptp.n1)) % 0.30/0.55 (define @t7 () (tptp.f tptp.n2 tptp.n2)) % 0.30/0.55 (define @t8 () (tptp.f tptp.n3 tptp.n2)) % 0.30/0.55 (define @t9 () (tptp.f @t5 tptp.n1)) % 0.30/0.55 (define @t10 () (tptp.f tptp.n2 @t9)) % 0.30/0.55 (define @t11 () (tptp.f @t6 @t10)) % 0.30/0.55 (define @t12 () (tptp.f tptp.n2 (tptp.f tptp.n1 @t9))) % 0.30/0.55 (define @t13 () (= @t12 @t11)) % 0.30/0.55 (define @t14 () (= @t11 @t12)) % 0.30/0.55 (define @t15 () (tptp.f tptp.n3 @t6)) % 0.30/0.55 (assume @p1 @t4) % 0.30/0.55 (assume @p2 (= tptp.n2 @t5)) % 0.30/0.55 (assume @p3 (= tptp.n3 @t6)) % 0.30/0.55 (assume @p4 (= tptp.u @t7)) % 0.30/0.55 (assume @p5 (not (= (tptp.f @t8 tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) % 0.30/0.55 (step @p6 :rule bool-eq-false :args (@t13)) % 0.30/0.55 (step @p7 :rule symm :premises (@p6)) % 0.30/0.55 (step @p8 :rule eq-symm :args (@t11 @t12)) % 0.30/0.55 (step @p9 :rule cong :premises (@p8) :args ((not @t14))) % 0.30/0.55 (step @p10 :rule bool-eq-false :args (@t14)) % 0.30/0.55 (step @p11 :rule trans :premises (@p10 @p9)) % 0.30/0.55 (step @p12 :rule trans :premises (@p11 @p7)) % 0.30/0.55 (step @p13 :rule false_intro :premises (@p5)) % 0.30/0.55 (step @p14 :rule symm :premises (@p4)) % 0.30/0.55 (step @p15 :rule cong :premises (@p14 @p14) :args ((tptp.f @t7 @t7))) % 0.30/0.55 (step @p16 :rule instantiate :premises (@p1) :args ((@list tptp.n2 tptp.n2 tptp.n2))) % 0.30/0.55 (step @p17 :rule trans :premises (@p16 @p15)) % 0.30/0.55 (step @p18 :rule cong :premises (@p17 @p14) :args ((tptp.f (tptp.f tptp.n2 @t7) @t7))) % 0.30/0.55 (step @p19 :rule instantiate :premises (@p1) :args ((@list tptp.n2 @t7 tptp.n2))) % 0.30/0.55 (step @p20 :rule refl :args (tptp.n2)) % 0.30/0.55 (step @p21 :rule cong :premises (@p4 @p20) :args ((tptp.f tptp.u tptp.n2))) % 0.30/0.55 (step @p22 :rule symm :premises (@p2)) % 0.30/0.55 (step @p23 :rule cong :premises (@p22 @p22) :args ((tptp.f @t5 @t5))) % 0.30/0.55 (step @p24 :rule instantiate :premises (@p1) :args ((@list tptp.n1 tptp.n1 tptp.n1))) % 0.30/0.55 (step @p25 :rule trans :premises (@p24 @p23 @p14)) % 0.30/0.55 (step @p26 :rule cong :premises (@p25 @p22) :args ((tptp.f (tptp.f tptp.n1 @t5) @t5))) % 0.30/0.55 (step @p27 :rule instantiate :premises (@p1) :args ((@list tptp.n1 @t5 tptp.n1))) % 0.30/0.55 (step @p28 :rule trans :premises (@p27 @p26 @p21)) % 0.30/0.55 (step @p29 :rule cong :premises (@p20 @p28) :args (@t12)) % 0.30/0.55 (step @p30 :rule trans :premises (@p29 @p19 @p18)) % 0.30/0.55 (step @p31 :rule cong :premises (@p20 @p22) :args ((tptp.f tptp.n2 @t5))) % 0.30/0.55 (step @p32 :rule instantiate :premises (@p1) :args ((@list tptp.n2 tptp.n1 tptp.n1))) % 0.30/0.55 (step @p33 :rule symm :premises (@p32)) % 0.30/0.55 (step @p34 :rule refl :args (@t6)) % 0.30/0.55 (step @p35 :rule cong :premises (@p3 @p34) :args (@t15)) % 0.30/0.55 (step @p36 :rule trans :premises (@p35 @p33 @p31 @p14)) % 0.30/0.55 (step @p37 :rule refl :args (@t8)) % 0.30/0.55 (step @p38 :rule cong :premises (@p37 @p36) :args ((tptp.f @t8 @t15))) % 0.30/0.55 (step @p39 :rule instantiate :premises (@p1) :args ((@list tptp.n3 tptp.n2 @t6))) % 0.30/0.55 (step @p40 :rule refl :args (tptp.n1)) % 0.30/0.55 (step @p41 :rule cong :premises (@p22 @p40) :args (@t9)) % 0.30/0.55 (step @p42 :rule cong :premises (@p20 @p41) :args (@t10)) % 0.30/0.55 (step @p43 :rule symm :premises (@p3)) % 0.30/0.55 (step @p44 :rule cong :premises (@p43 @p42) :args (@t11)) % 0.30/0.55 (step @p45 :rule trans :premises (@p44 @p39 @p38)) % 0.30/0.55 (step @p46 :rule cong :premises (@p45 @p30) :args (@t14)) % 0.30/0.55 (step @p47 :rule trans :premises (@p46 @p13)) % 0.30/0.55 (step @p48 :rule eq_resolve :premises (@p47 @p12)) % 0.30/0.55 (step @p49 :rule false_elim :premises (@p48)) % 0.30/0.55 (assume-push @p56 @t4) % 0.30/0.55 (step @p51 :rule instantiate :premises (@p1) :args ((@list tptp.n2 tptp.n1 @t9))) % 0.30/0.55 (step-pop @p57 :rule scope :premises (@p51)) % 0.30/0.55 (step @p52 :rule process_scope :premises (@p57) :args (@t13)) % 0.30/0.55 (step @p54 :rule implies_elim :premises (@p52)) % 0.30/0.55 (step @p55 false :rule chain_m_resolution :premises (@p54 @p49 @p1) :args (false (@list true false) (@list @t13 @t4))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------