%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP451-1 : TPTP v9.2.1. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:20:45 AM UTC 2026 % Result : Unsatisfiable 0.16s 0.41s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GRP451-1 : TPTP v9.2.1. Released v2.6.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Mon Jun 1 20:08:45 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/0.41 % SZS status Unsatisfiable % 0.16/0.41 % SZS output start Proof % 0.16/0.41 ( % 0.16/0.41 (declare-sort $$unsorted 0) % 0.16/0.41 (declare-const tptp.a1 $$unsorted) % 0.16/0.41 (declare-const tptp.b1 $$unsorted) % 0.16/0.41 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (define @t1 () (@var "B" $$unsorted)) % 0.16/0.41 (define @t2 () (@var "C" $$unsorted)) % 0.16/0.41 (define @t3 () (@var "A" $$unsorted)) % 0.16/0.41 (define @t4 () (tptp.divide @t3 @t3)) % 0.16/0.41 (define @t5 () (tptp.divide (tptp.divide @t4 (tptp.divide @t3 (tptp.divide @t1 (tptp.divide (tptp.divide @t4 @t3) @t2)))) @t2)) % 0.16/0.41 (define @t6 () (@list @t3 @t1 @t2)) % 0.16/0.41 (define @t7 () (forall @t6 (= @t5 @t1))) % 0.16/0.41 (define @t8 () (tptp.inverse tptp.b1)) % 0.16/0.41 (define @t9 () (tptp.inverse tptp.a1)) % 0.16/0.41 (define @t10 () (tptp.divide tptp.a1 tptp.a1)) % 0.16/0.41 (define @t11 () (tptp.divide @t10 tptp.a1)) % 0.16/0.41 (define @t12 () (tptp.divide @t11 @t11)) % 0.16/0.41 (define @t13 () (tptp.divide @t8 @t8)) % 0.16/0.41 (define @t14 () (tptp.divide @t13 @t12)) % 0.16/0.41 (define @t15 () (tptp.divide tptp.a1 @t14)) % 0.16/0.41 (define @t16 () (tptp.divide @t10 @t15)) % 0.16/0.41 (define @t17 () (tptp.divide @t16 @t11)) % 0.16/0.41 (define @t18 () (= @t13 @t17)) % 0.16/0.41 (define @t19 () (= @t17 @t13)) % 0.16/0.41 (define @t20 () (tptp.divide @t9 @t9)) % 0.16/0.41 (define @t21 () (tptp.divide @t10 (tptp.divide tptp.a1 (tptp.divide @t20 @t12)))) % 0.16/0.41 (define @t22 () (tptp.divide @t20 @t20)) % 0.16/0.41 (define @t23 () (forall @t6 (= @t1 @t5))) % 0.16/0.41 (assume @p1 @t7) % 0.16/0.41 (assume @p2 (forall @t6 (= (tptp.multiply @t3 @t1) (tptp.divide @t3 (tptp.divide (tptp.divide @t2 @t2) @t1))))) % 0.16/0.41 (assume @p3 (forall (@list @t3 @t1) (= (tptp.inverse @t3) (tptp.divide (tptp.divide @t1 @t1) @t3)))) % 0.16/0.41 (assume @p4 (not (= (tptp.multiply @t9 tptp.a1) (tptp.multiply @t8 tptp.b1)))) % 0.16/0.41 (step @p5 :rule eq-symm :args (@t5 @t1)) % 0.16/0.41 (step @p6 :rule cong :premises (@p5) :args (@t7)) % 0.16/0.41 (step @p7 :rule eq_resolve :premises (@p1 @p6)) % 0.16/0.41 (step @p8 :rule bool-eq-false :args (@t18)) % 0.16/0.41 (step @p9 :rule symm :premises (@p8)) % 0.16/0.41 (step @p10 :rule eq-symm :args (@t17 @t13)) % 0.16/0.41 (step @p11 :rule cong :premises (@p10) :args ((not @t19))) % 0.16/0.41 (step @p12 :rule bool-eq-false :args (@t19)) % 0.16/0.41 (step @p13 :rule trans :premises (@p12 @p11)) % 0.16/0.41 (step @p14 :rule trans :premises (@p13 @p9)) % 0.16/0.41 (step @p15 :rule false_intro :premises (@p4)) % 0.16/0.41 (step @p16 :rule instantiate :premises (@p2) :args ((@list @t8 tptp.b1 tptp.a1))) % 0.16/0.41 (step @p17 :rule symm :premises (@p16)) % 0.16/0.41 (step @p18 :rule instantiate :premises (@p3) :args ((@list tptp.b1 tptp.a1))) % 0.16/0.41 (step @p19 :rule refl :args (@t8)) % 0.16/0.41 (step @p20 :rule cong :premises (@p19 @p18) :args (@t13)) % 0.16/0.41 (step @p21 :rule trans :premises (@p20 @p17)) % 0.16/0.41 (step @p22 :rule instantiate :premises (@p2) :args ((@list @t9 tptp.a1 tptp.a1))) % 0.16/0.41 (step @p23 :rule symm :premises (@p22)) % 0.16/0.41 (step @p24 :rule instantiate :premises (@p3) :args ((@list tptp.a1 tptp.a1))) % 0.16/0.41 (step @p25 :rule refl :args (@t9)) % 0.16/0.41 (step @p26 :rule cong :premises (@p25 @p24) :args (@t20)) % 0.16/0.41 (step @p27 :rule instantiate :premises (@p7) :args ((@list tptp.a1 @t20 @t11))) % 0.16/0.41 (step @p28 :rule symm :premises (@p27)) % 0.16/0.41 (step @p29 :rule instantiate :premises (@p3) :args ((@list tptp.a1 @t20))) % 0.16/0.41 (step @p30 :rule symm :premises (@p29)) % 0.16/0.41 (step @p31 :rule trans :premises (@p30 @p24)) % 0.16/0.41 (step @p32 :rule refl :args (@t21)) % 0.16/0.41 (step @p33 :rule cong :premises (@p32 @p31) :args ((tptp.divide @t21 (tptp.divide @t22 tptp.a1)))) % 0.16/0.41 (step @p34 :rule symm :premises (@p31)) % 0.16/0.41 (step @p35 :rule refl :args (@t11)) % 0.16/0.41 (step @p36 :rule cong :premises (@p24 @p35) :args ((tptp.divide @t9 @t11))) % 0.16/0.41 (step @p37 :rule trans :premises (@p26 @p36)) % 0.16/0.41 (step @p38 :rule refl :args (@t20)) % 0.16/0.41 (step @p39 :rule cong :premises (@p38 @p37) :args (@t22)) % 0.16/0.41 (step @p40 :rule refl :args (tptp.a1)) % 0.16/0.41 (step @p41 :rule cong :premises (@p40 @p39) :args ((tptp.divide tptp.a1 @t22))) % 0.16/0.41 (step @p42 :rule instantiate :premises (@p2) :args ((@list tptp.a1 @t20 @t9))) % 0.16/0.41 (step @p43 :rule instantiate :premises (@p2) :args ((@list tptp.a1 @t20 @t8))) % 0.16/0.41 (step @p44 :rule symm :premises (@p43)) % 0.16/0.41 (step @p45 :rule symm :premises (@p37)) % 0.16/0.41 (step @p46 :rule refl :args (@t13)) % 0.16/0.41 (step @p47 :rule cong :premises (@p46 @p45) :args (@t14)) % 0.16/0.41 (step @p48 :rule cong :premises (@p40 @p47) :args (@t15)) % 0.16/0.41 (step @p49 :rule trans :premises (@p48 @p44 @p42 @p41)) % 0.16/0.41 (step @p50 :rule refl :args (@t10)) % 0.16/0.41 (step @p51 :rule cong :premises (@p50 @p49) :args (@t16)) % 0.16/0.41 (step @p52 :rule cong :premises (@p51 @p34) :args (@t17)) % 0.16/0.41 (step @p53 :rule trans :premises (@p52 @p33 @p28 @p26 @p23)) % 0.16/0.41 (step @p54 :rule cong :premises (@p53 @p21) :args (@t19)) % 0.16/0.41 (step @p55 :rule trans :premises (@p54 @p15)) % 0.16/0.41 (step @p56 :rule eq_resolve :premises (@p55 @p14)) % 0.16/0.41 (step @p57 :rule false_elim :premises (@p56)) % 0.16/0.41 (assume-push @p64 @t23) % 0.16/0.41 (step @p59 :rule instantiate :premises (@p7) :args ((@list tptp.a1 @t13 @t11))) % 0.16/0.41 (step-pop @p65 :rule scope :premises (@p59)) % 0.16/0.41 (step @p60 :rule process_scope :premises (@p65) :args (@t18)) % 0.16/0.41 (step @p62 :rule implies_elim :premises (@p60)) % 0.16/0.41 (step @p63 false :rule chain_m_resolution :premises (@p62 @p57 @p7) :args (false (@list true false) (@list @t18 @t23))) % 0.16/0.41 ) % 0.16/0.41 % SZS output end Proof % 0.16/0.41 % cvc5 exiting %------------------------------------------------------------------------------