%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP455-1 : 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 : n029.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 15.43s 15.63s % Output : Proof 15.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP455-1 : TPTP v9.2.1. Released v2.6.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n029.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 01:09:17 EDT 2026 % 0.15/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.43/15.60 --- Run --no-e-matching --full-saturate-quant at 6... % 15.43/15.63 % SZS status Unsatisfiable % 15.43/15.63 % SZS output start Proof % 15.43/15.63 ( % 15.43/15.63 (declare-sort $$unsorted 0) % 15.43/15.63 (declare-const tptp.a2 $$unsorted) % 15.43/15.63 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.43/15.63 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.43/15.63 (declare-const tptp.identity $$unsorted) % 15.43/15.63 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 15.43/15.63 (define @t1 () (@var "B" $$unsorted)) % 15.43/15.63 (define @t2 () (@var "C" $$unsorted)) % 15.43/15.63 (define @t3 () (@var "A" $$unsorted)) % 15.43/15.63 (define @t4 () (tptp.divide @t3 @t3)) % 15.43/15.63 (define @t5 () (tptp.divide (tptp.divide tptp.identity (tptp.divide @t3 (tptp.divide @t1 (tptp.divide (tptp.divide @t4 @t3) @t2)))) @t2)) % 15.43/15.63 (define @t6 () (@list @t3 @t1 @t2)) % 15.43/15.63 (define @t7 () (forall @t6 (= @t5 @t1))) % 15.43/15.63 (define @t8 () (@list @t3)) % 15.43/15.63 (define @t9 () (tptp.divide tptp.identity tptp.identity)) % 15.43/15.63 (define @t10 () (tptp.divide @t9 tptp.identity)) % 15.43/15.63 (define @t11 () (tptp.divide @t10 @t10)) % 15.43/15.63 (define @t12 () (tptp.divide @t11 @t10)) % 15.43/15.63 (define @t13 () (tptp.divide @t12 tptp.identity)) % 15.43/15.63 (define @t14 () (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.a2 (tptp.divide @t10 tptp.identity))))) % 15.43/15.63 (define @t15 () (tptp.divide @t14 @t13)) % 15.43/15.63 (define @t16 () (tptp.divide @t10 @t15)) % 15.43/15.63 (define @t17 () (tptp.divide tptp.identity @t16)) % 15.43/15.63 (define @t18 () (tptp.divide @t17 tptp.identity)) % 15.43/15.63 (define @t19 () (= @t14 @t18)) % 15.43/15.63 (define @t20 () (= @t18 @t14)) % 15.43/15.63 (define @t21 () (tptp.divide @t10 tptp.a2)) % 15.43/15.63 (define @t22 () (tptp.divide tptp.identity @t21)) % 15.43/15.63 (define @t23 () (tptp.divide tptp.a2 tptp.a2)) % 15.43/15.63 (define @t24 () (tptp.divide @t23 tptp.a2)) % 15.43/15.63 (define @t25 () (tptp.divide @t24 @t21)) % 15.43/15.63 (define @t26 () (forall @t6 (= @t1 @t5))) % 15.43/15.63 (assume @p1 @t7) % 15.43/15.63 (assume @p2 (forall (@list @t3 @t1) (= (tptp.multiply @t3 @t1) (tptp.divide @t3 (tptp.divide tptp.identity @t1))))) % 15.43/15.63 (assume @p3 (forall @t8 (= (tptp.inverse @t3) (tptp.divide tptp.identity @t3)))) % 15.43/15.63 (assume @p4 (forall @t8 (= tptp.identity @t4))) % 15.43/15.63 (assume @p5 (not (= (tptp.multiply tptp.identity tptp.a2) tptp.a2))) % 15.43/15.63 (step @p6 :rule eq-symm :args (@t5 @t1)) % 15.43/15.63 (step @p7 :rule cong :premises (@p6) :args (@t7)) % 15.43/15.63 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 15.43/15.63 (step @p9 :rule bool-eq-false :args (@t19)) % 15.43/15.63 (step @p10 :rule symm :premises (@p9)) % 15.43/15.63 (step @p11 :rule eq-symm :args (@t18 @t14)) % 15.43/15.63 (step @p12 :rule cong :premises (@p11) :args ((not @t20))) % 15.43/15.63 (step @p13 :rule bool-eq-false :args (@t20)) % 15.43/15.63 (step @p14 :rule trans :premises (@p13 @p12)) % 15.43/15.63 (step @p15 :rule trans :premises (@p14 @p10)) % 15.43/15.63 (step @p16 :rule symm :premises (@p5)) % 15.43/15.63 (step @p17 :rule false_intro :premises (@p16)) % 15.43/15.63 (step @p18 :rule instantiate :premises (@p2) :args ((@list tptp.identity tptp.a2))) % 15.43/15.63 (step @p19 :rule symm :premises (@p18)) % 15.43/15.63 (step @p20 :rule refl :args (tptp.a2)) % 15.43/15.63 (step @p21 :rule refl :args (tptp.identity)) % 15.43/15.63 (step @p22 :rule instantiate :premises (@p4) :args ((@list tptp.identity))) % 15.43/15.63 (step @p23 :rule cong :premises (@p22 @p21) :args (@t9)) % 15.43/15.63 (step @p24 :rule trans :premises (@p22 @p23)) % 15.43/15.63 (step @p25 :rule symm :premises (@p24)) % 15.43/15.63 (step @p26 :rule cong :premises (@p25 @p20) :args (@t21)) % 15.43/15.63 (step @p27 :rule cong :premises (@p21 @p26) :args (@t22)) % 15.43/15.63 (step @p28 :rule refl :args (@t21)) % 15.43/15.63 (step @p29 :rule instantiate :premises (@p4) :args ((@list @t21))) % 15.43/15.63 (step @p30 :rule symm :premises (@p29)) % 15.43/15.63 (step @p31 :rule instantiate :premises (@p4) :args ((@list tptp.a2))) % 15.43/15.63 (step @p32 :rule symm :premises (@p31)) % 15.43/15.63 (step @p33 :rule trans :premises (@p32 @p24)) % 15.43/15.63 (step @p34 :rule cong :premises (@p33 @p20) :args (@t24)) % 15.43/15.63 (step @p35 :rule cong :premises (@p34 @p28) :args (@t25)) % 15.43/15.63 (step @p36 :rule trans :premises (@p35 @p30)) % 15.43/15.63 (step @p37 :rule refl :args (@t14)) % 15.43/15.63 (step @p38 :rule cong :premises (@p37 @p36) :args ((tptp.divide @t14 @t25))) % 15.43/15.63 (step @p39 :rule symm :premises (@p38)) % 15.43/15.63 (step @p40 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.a2 tptp.identity))) % 15.43/15.63 (step @p41 :rule trans :premises (@p40 @p39)) % 15.43/15.63 (step @p42 :rule cong :premises (@p20 @p41) :args (@t23)) % 15.43/15.63 (step @p43 :rule trans :premises (@p31 @p42)) % 15.43/15.63 (step @p44 :rule cong :premises (@p21 @p43) :args (@t9)) % 15.43/15.63 (step @p45 :rule trans :premises (@p22 @p44)) % 15.43/15.63 (step @p46 :rule cong :premises (@p45 @p28) :args (@t22)) % 15.43/15.63 (step @p47 :rule symm :premises (@p46)) % 15.43/15.63 (step @p48 :rule instantiate :premises (@p8) :args ((@list tptp.a2 @t14 @t21))) % 15.43/15.63 (step @p49 :rule trans :premises (@p48 @p47 @p27 @p19)) % 15.43/15.63 (step @p50 :rule symm :premises (@p40)) % 15.43/15.63 (step @p51 :rule symm :premises (@p36)) % 15.43/15.63 (step @p52 :rule symm :premises (@p48)) % 15.43/15.63 (step @p53 :rule symm :premises (@p35)) % 15.43/15.63 (step @p54 :rule symm :premises (@p22)) % 15.43/15.63 (step @p55 :rule cong :premises (@p25 @p25) :args (@t11)) % 15.43/15.63 (step @p56 :rule trans :premises (@p55 @p54)) % 15.43/15.63 (step @p57 :rule cong :premises (@p56 @p25) :args (@t12)) % 15.43/15.63 (step @p58 :rule trans :premises (@p57 @p54)) % 15.43/15.63 (step @p59 :rule cong :premises (@p58 @p21) :args (@t13)) % 15.43/15.63 (step @p60 :rule trans :premises (@p59 @p54 @p29 @p53)) % 15.43/15.63 (step @p61 :rule cong :premises (@p37 @p60) :args (@t15)) % 15.43/15.63 (step @p62 :rule trans :premises (@p61 @p38 @p50)) % 15.43/15.63 (step @p63 :rule refl :args (@t10)) % 15.43/15.63 (step @p64 :rule cong :premises (@p63 @p62) :args (@t16)) % 15.43/15.63 (step @p65 :rule cong :premises (@p21 @p64) :args (@t17)) % 15.43/15.63 (step @p66 :rule trans :premises (@p65 @p46 @p52)) % 15.43/15.63 (step @p67 :rule cong :premises (@p66 @p51) :args (@t18)) % 15.43/15.63 (step @p68 :rule trans :premises (@p67 @p38 @p50)) % 15.43/15.63 (step @p69 :rule cong :premises (@p68 @p49) :args (@t20)) % 15.43/15.63 (step @p70 :rule trans :premises (@p69 @p17)) % 15.43/15.63 (step @p71 :rule eq_resolve :premises (@p70 @p15)) % 15.43/15.63 (step @p72 :rule false_elim :premises (@p71)) % 15.43/15.63 (assume-push @p79 @t26) % 15.43/15.63 (step @p74 :rule instantiate :premises (@p8) :args ((@list @t10 @t14 tptp.identity))) % 15.43/15.63 (step-pop @p80 :rule scope :premises (@p74)) % 15.43/15.63 (step @p75 :rule process_scope :premises (@p80) :args (@t19)) % 15.43/15.63 (step @p77 :rule implies_elim :premises (@p75)) % 15.43/15.63 (step @p78 false :rule chain_m_resolution :premises (@p77 @p72 @p8) :args (false (@list true false) (@list @t19 @t26))) % 15.43/15.63 ) % 15.43/15.63 % SZS output end Proof % 15.43/15.63 % cvc5 exiting %------------------------------------------------------------------------------