%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP484-1 : 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 : n010.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 08:20:48 AM UTC 2026 % Result : Unsatisfiable 0.31s 0.54s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP484-1 : TPTP v9.2.1. Released v2.6.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 01:09:55 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.54 % SZS status Unsatisfiable % 0.31/0.54 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.double_divide (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.a1 $$unsorted) % 0.31/0.55 (declare-const tptp.identity $$unsorted) % 0.31/0.55 (define @t1 () (@var "C" $$unsorted)) % 0.31/0.55 (define @t2 () (tptp.double_divide tptp.identity tptp.identity)) % 0.31/0.55 (define @t3 () (@var "B" $$unsorted)) % 0.31/0.55 (define @t4 () (@var "A" $$unsorted)) % 0.31/0.55 (define @t5 () (tptp.double_divide (tptp.double_divide @t4 (tptp.double_divide (tptp.double_divide (tptp.double_divide @t4 @t3) @t1) (tptp.double_divide @t3 tptp.identity))) @t2)) % 0.31/0.55 (define @t6 () (@list @t4 @t3 @t1)) % 0.31/0.55 (define @t7 () (forall @t6 (= @t5 @t1))) % 0.31/0.55 (define @t8 () (tptp.inverse @t4)) % 0.31/0.55 (define @t9 () (@list @t4)) % 0.31/0.55 (define @t10 () (forall @t9 (= @t8 (tptp.double_divide @t4 tptp.identity)))) % 0.31/0.55 (define @t11 () (tptp.inverse tptp.a1)) % 0.31/0.55 (define @t12 () (tptp.double_divide tptp.a1 @t11)) % 0.31/0.55 (define @t13 () (tptp.double_divide @t12 tptp.identity)) % 0.31/0.55 (define @t14 () (tptp.double_divide @t13 tptp.identity)) % 0.31/0.55 (define @t15 () (tptp.inverse @t12)) % 0.31/0.55 (define @t16 () (tptp.inverse @t13)) % 0.31/0.55 (define @t17 () (tptp.double_divide @t12 @t12)) % 0.31/0.55 (define @t18 () (tptp.double_divide @t17 @t16)) % 0.31/0.55 (define @t19 () (tptp.double_divide @t18 @t13)) % 0.31/0.55 (define @t20 () (tptp.double_divide @t12 @t19)) % 0.31/0.55 (define @t21 () (tptp.double_divide @t20 @t13)) % 0.31/0.55 (define @t22 () (tptp.double_divide @t21 @t15)) % 0.31/0.55 (define @t23 () (tptp.double_divide @t22 @t14)) % 0.31/0.55 (define @t24 () (tptp.double_divide @t20 @t23)) % 0.31/0.55 (define @t25 () (tptp.double_divide @t24 @t2)) % 0.31/0.55 (define @t26 () (= @t15 @t25)) % 0.31/0.55 (define @t27 () (= @t25 @t15)) % 0.31/0.55 (define @t28 () (@list @t12)) % 0.31/0.55 (define @t29 () (= @t15 @t13)) % 0.31/0.55 (define @t30 () (@list false)) % 0.31/0.55 (define @t31 () (@list @t10)) % 0.31/0.55 (define @t32 () (@list @t13)) % 0.31/0.55 (define @t33 () (= @t16 @t14)) % 0.31/0.55 (define @t34 () (forall @t6 (= @t1 @t5))) % 0.31/0.55 (assume @p1 @t7) % 0.31/0.55 (assume @p2 (forall (@list @t4 @t3) (= (tptp.multiply @t4 @t3) (tptp.double_divide (tptp.double_divide @t3 @t4) tptp.identity)))) % 0.31/0.55 (assume @p3 @t10) % 0.31/0.55 (assume @p4 (forall @t9 (= tptp.identity (tptp.double_divide @t4 @t8)))) % 0.31/0.55 (assume @p5 (not (= (tptp.multiply @t11 tptp.a1) tptp.identity))) % 0.31/0.55 (step @p6 :rule eq-symm :args (@t5 @t1)) % 0.31/0.55 (step @p7 :rule cong :premises (@p6) :args (@t7)) % 0.31/0.55 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 0.31/0.55 (step @p9 :rule bool-eq-false :args (@t26)) % 0.31/0.55 (step @p10 :rule symm :premises (@p9)) % 0.31/0.55 (step @p11 :rule eq-symm :args (@t25 @t15)) % 0.31/0.55 (step @p12 :rule cong :premises (@p11) :args ((not @t27))) % 0.31/0.55 (step @p13 :rule bool-eq-false :args (@t27)) % 0.31/0.55 (step @p14 :rule trans :premises (@p13 @p12)) % 0.31/0.55 (step @p15 :rule trans :premises (@p14 @p10)) % 0.31/0.55 (step @p16 :rule symm :premises (@p5)) % 0.31/0.55 (step @p17 :rule false_intro :premises (@p16)) % 0.31/0.55 (step @p18 :rule instantiate :premises (@p2) :args ((@list @t11 tptp.a1))) % 0.31/0.55 (step @p19 :rule symm :premises (@p18)) % 0.31/0.55 (step @p20 :rule instantiate :premises (@p3) :args (@t28)) % 0.31/0.55 (step @p21 :rule trans :premises (@p20 @p19)) % 0.31/0.55 (step @p22 :rule instantiate :premises (@p4) :args (@t28)) % 0.31/0.55 (step @p23 :rule symm :premises (@p22)) % 0.31/0.55 (step @p24 :rule eq-symm :args (@t15 @t13)) % 0.31/0.55 (step @p25 :rule refl :args (@t10)) % 0.31/0.55 (step @p26 :rule cong :premises (@p25 @p24) :args ((=> @t10 @t29))) % 0.31/0.55 (assume-push @p93 @t10) % 0.31/0.55 (step-pop @p94 :rule scope :premises (@p20)) % 0.31/0.55 (step @p28 :rule process_scope :premises (@p94) :args (@t29)) % 0.31/0.55 (step @p30 :rule eq_resolve :premises (@p28 @p26)) % 0.31/0.55 (step @p31 :rule implies_elim :premises (@p30)) % 0.31/0.55 (step @p32 :rule chain_m_resolution :premises (@p31 @p3) :args ((= @t13 @t15) @t30 @t31)) % 0.31/0.55 (step @p33 :rule refl :args (tptp.identity)) % 0.31/0.55 (step @p34 :rule instantiate :premises (@p4) :args ((@list tptp.a1))) % 0.31/0.55 (step @p35 :rule cong :premises (@p34 @p33) :args (@t2)) % 0.31/0.55 (step @p36 :rule trans :premises (@p35 @p32)) % 0.31/0.55 (step @p37 :rule instantiate :premises (@p8) :args ((@list @t12 @t13 tptp.identity))) % 0.31/0.55 (step @p38 :rule symm :premises (@p37)) % 0.31/0.55 (step @p39 :rule refl :args (@t2)) % 0.31/0.55 (step @p40 :rule instantiate :premises (@p3) :args (@t32)) % 0.31/0.55 (step @p41 :rule refl :args (@t12)) % 0.31/0.55 (step @p42 :rule cong :premises (@p41 @p20) :args ((tptp.double_divide @t12 @t15))) % 0.31/0.55 (step @p43 :rule symm :premises (@p34)) % 0.31/0.55 (step @p44 :rule trans :premises (@p43 @p22 @p42)) % 0.31/0.55 (step @p45 :rule cong :premises (@p44 @p33) :args (@t13)) % 0.31/0.55 (step @p46 :rule cong :premises (@p45 @p40) :args ((tptp.double_divide @t13 @t16))) % 0.31/0.55 (step @p47 :rule instantiate :premises (@p4) :args (@t32)) % 0.31/0.55 (step @p48 :rule trans :premises (@p47 @p46)) % 0.31/0.55 (step @p49 :rule cong :premises (@p41 @p48) :args (@t13)) % 0.31/0.55 (step @p50 :rule symm :premises (@p47)) % 0.31/0.55 (step @p51 :rule refl :args (@t16)) % 0.31/0.55 (step @p52 :rule cong :premises (@p41 @p43) :args (@t17)) % 0.31/0.55 (step @p53 :rule cong :premises (@p52 @p51) :args (@t18)) % 0.31/0.55 (step @p54 :rule trans :premises (@p53 @p50 @p34)) % 0.31/0.55 (step @p55 :rule cong :premises (@p54 @p32) :args (@t19)) % 0.31/0.55 (step @p56 :rule trans :premises (@p55 @p23)) % 0.31/0.55 (step @p57 :rule cong :premises (@p41 @p56) :args (@t20)) % 0.31/0.55 (step @p58 :rule trans :premises (@p57 @p49)) % 0.31/0.55 (step @p59 :rule cong :premises (@p58 @p39) :args ((tptp.double_divide @t20 @t2))) % 0.31/0.55 (step @p60 :rule symm :premises (@p35)) % 0.31/0.55 (step @p61 :rule instantiate :premises (@p8) :args ((@list @t12 @t12 @t16))) % 0.31/0.55 (step @p62 :rule eq-symm :args (@t16 @t14)) % 0.31/0.55 (step @p63 :rule cong :premises (@p25 @p62) :args ((=> @t10 @t33))) % 0.31/0.55 (assume-push @p95 @t10) % 0.31/0.55 (step-pop @p96 :rule scope :premises (@p40)) % 0.31/0.55 (step @p65 :rule process_scope :premises (@p96) :args (@t33)) % 0.31/0.55 (step @p67 :rule eq_resolve :premises (@p65 @p63)) % 0.31/0.55 (step @p68 :rule implies_elim :premises (@p67)) % 0.31/0.55 (step @p69 :rule chain_m_resolution :premises (@p68 @p3) :args ((= @t14 @t16) @t30 @t31)) % 0.31/0.55 (step @p70 :rule trans :premises (@p69 @p61 @p59 @p38)) % 0.31/0.55 (step @p71 :rule refl :args (@t15)) % 0.31/0.55 (step @p72 :rule refl :args (@t20)) % 0.31/0.55 (step @p73 :rule cong :premises (@p72 @p60) :args (@t21)) % 0.31/0.55 (step @p74 :rule trans :premises (@p73 @p59 @p38 @p34)) % 0.31/0.55 (step @p75 :rule cong :premises (@p74 @p71) :args (@t22)) % 0.31/0.55 (step @p76 :rule trans :premises (@p75 @p23 @p34)) % 0.31/0.55 (step @p77 :rule cong :premises (@p76 @p70) :args (@t23)) % 0.31/0.55 (step @p78 :rule trans :premises (@p77 @p60)) % 0.31/0.55 (step @p79 :rule cong :premises (@p72 @p78) :args (@t24)) % 0.31/0.55 (step @p80 :rule trans :premises (@p79 @p59 @p38 @p34)) % 0.31/0.55 (step @p81 :rule cong :premises (@p80 @p36) :args (@t25)) % 0.31/0.55 (step @p82 :rule trans :premises (@p81 @p23)) % 0.31/0.55 (step @p83 :rule cong :premises (@p82 @p21) :args (@t27)) % 0.31/0.55 (step @p84 :rule trans :premises (@p83 @p17)) % 0.31/0.55 (step @p85 :rule eq_resolve :premises (@p84 @p15)) % 0.31/0.55 (step @p86 :rule false_elim :premises (@p85)) % 0.31/0.55 (assume-push @p97 @t34) % 0.31/0.55 (step @p88 :rule instantiate :premises (@p8) :args ((@list @t20 @t13 @t15))) % 0.31/0.55 (step-pop @p98 :rule scope :premises (@p88)) % 0.31/0.55 (step @p89 :rule process_scope :premises (@p98) :args (@t26)) % 0.31/0.55 (step @p91 :rule implies_elim :premises (@p89)) % 0.31/0.55 (step @p92 false :rule chain_m_resolution :premises (@p91 @p86 @p8) :args (false (@list true false) (@list @t26 @t34))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.37/0.55 % cvc5 exiting %------------------------------------------------------------------------------