%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP518-1 : 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 : 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 08:20:51 AM UTC 2026 % Result : Unsatisfiable 22.43s 22.67s % Output : Proof 22.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP518-1 : 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 % 0.15/0.34 % Computer : n008.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 : Tue Jun 2 01:15:18 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.32/15.53 --- Run --no-e-matching --full-saturate-quant at 6... % 21.33/21.55 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 22.43/22.67 % SZS status Unsatisfiable % 22.43/22.67 % SZS output start Proof % 22.43/22.68 ( % 22.43/22.68 (declare-sort $$unsorted 0) % 22.43/22.68 (declare-const tptp.b2 $$unsorted) % 22.43/22.68 (declare-const tptp.a2 $$unsorted) % 22.43/22.68 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 22.43/22.68 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 22.43/22.68 (define @t1 () (@var "C" $$unsorted)) % 22.43/22.68 (define @t2 () (@var "B" $$unsorted)) % 22.43/22.68 (define @t3 () (@var "A" $$unsorted)) % 22.43/22.68 (define @t4 () (tptp.multiply @t3 (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply @t3 @t2)) @t1) @t2))) % 22.43/22.68 (define @t5 () (@list @t3 @t2 @t1)) % 22.43/22.68 (define @t6 () (forall @t5 (= @t4 @t1))) % 22.43/22.68 (define @t7 () (tptp.inverse tptp.b2)) % 22.43/22.68 (define @t8 () (tptp.multiply @t7 tptp.b2)) % 22.43/22.68 (define @t9 () (tptp.inverse @t8)) % 22.43/22.68 (define @t10 () (tptp.multiply (tptp.multiply @t9 tptp.a2) tptp.b2)) % 22.43/22.68 (define @t11 () (tptp.multiply @t9 tptp.b2)) % 22.43/22.68 (define @t12 () (tptp.inverse @t11)) % 22.43/22.68 (define @t13 () (tptp.multiply @t12 @t10)) % 22.43/22.68 (define @t14 () (tptp.multiply @t13 tptp.b2)) % 22.43/22.68 (define @t15 () (tptp.multiply (tptp.multiply (tptp.inverse @t14) tptp.b2) tptp.b2)) % 22.43/22.68 (define @t16 () (tptp.multiply (tptp.multiply @t12 tptp.b2) tptp.b2)) % 22.43/22.68 (define @t17 () (tptp.multiply @t11 tptp.b2)) % 22.43/22.68 (define @t18 () (tptp.inverse (tptp.multiply @t9 @t16))) % 22.43/22.68 (define @t19 () (tptp.multiply @t18 @t17)) % 22.43/22.68 (define @t20 () (tptp.multiply @t19 tptp.b2)) % 22.43/22.68 (define @t21 () (tptp.multiply (tptp.multiply (tptp.inverse @t20) tptp.b2) tptp.b2)) % 22.43/22.68 (define @t22 () (tptp.inverse (tptp.multiply @t19 @t21))) % 22.43/22.68 (define @t23 () (tptp.multiply @t22 @t17)) % 22.43/22.68 (define @t24 () (tptp.multiply @t23 @t21)) % 22.43/22.68 (define @t25 () (tptp.multiply (tptp.multiply @t12 tptp.a2) tptp.b2)) % 22.43/22.68 (define @t26 () (tptp.multiply (tptp.multiply @t9 @t25) tptp.b2)) % 22.43/22.68 (define @t27 () (tptp.multiply @t8 tptp.b2)) % 22.43/22.68 (define @t28 () (tptp.inverse @t27)) % 22.43/22.68 (define @t29 () (tptp.multiply (tptp.multiply @t28 tptp.b2) tptp.b2)) % 22.43/22.68 (define @t30 () (tptp.multiply @t28 tptp.a2)) % 22.43/22.68 (define @t31 () (tptp.multiply @t30 tptp.b2)) % 22.43/22.68 (define @t32 () (tptp.multiply @t8 @t31)) % 22.43/22.68 (define @t33 () (= tptp.a2 @t32)) % 22.43/22.68 (define @t34 () (forall @t5 (= @t1 @t4))) % 22.43/22.68 (assume @p1 @t6) % 22.43/22.68 (assume @p2 (not (= (tptp.multiply @t8 tptp.a2) tptp.a2))) % 22.43/22.68 (step @p3 :rule eq-symm :args (@t4 @t1)) % 22.43/22.68 (step @p4 :rule cong :premises (@p3) :args (@t6)) % 22.43/22.68 (step @p5 :rule eq_resolve :premises (@p1 @p4)) % 22.43/22.68 (step @p6 :rule symm :premises (@p2)) % 22.43/22.68 (step @p7 :rule false_intro :premises (@p6)) % 22.43/22.68 (step @p8 :rule instantiate :premises (@p5) :args ((@list @t7 tptp.b2 tptp.a2))) % 22.43/22.68 (step @p9 :rule symm :premises (@p8)) % 22.43/22.68 (step @p10 :rule instantiate :premises (@p5) :args ((@list @t13 @t15 @t10))) % 22.43/22.68 (step @p11 :rule symm :premises (@p10)) % 22.43/22.68 (step @p12 :rule refl :args (@t15)) % 22.43/22.68 (step @p13 :rule refl :args (@t10)) % 22.43/22.68 (step @p14 :rule instantiate :premises (@p5) :args ((@list @t13 tptp.b2 tptp.b2))) % 22.43/22.68 (step @p15 :rule cong :premises (@p14) :args (@t7)) % 22.43/22.68 (step @p16 :rule cong :premises (@p15 @p13) :args ((tptp.multiply @t7 @t10))) % 22.43/22.68 (step @p17 :rule instantiate :premises (@p5) :args ((@list @t9 tptp.b2 tptp.b2))) % 22.43/22.68 (step @p18 :rule symm :premises (@p17)) % 22.43/22.68 (step @p19 :rule instantiate :premises (@p5) :args ((@list @t7 tptp.b2 @t16))) % 22.43/22.68 (step @p20 :rule symm :premises (@p19)) % 22.43/22.68 (step @p21 :rule refl :args (tptp.b2)) % 22.43/22.68 (step @p22 :rule instantiate :premises (@p5) :args ((@list @t7 tptp.b2 tptp.b2))) % 22.43/22.68 (step @p23 :rule symm :premises (@p22)) % 22.43/22.68 (step @p24 :rule refl :args (@t17)) % 22.43/22.68 (step @p25 :rule cong :premises (@p18) :args (@t18)) % 22.43/22.68 (step @p26 :rule cong :premises (@p25 @p24) :args (@t19)) % 22.43/22.68 (step @p27 :rule trans :premises (@p26 @p23 @p17)) % 22.43/22.68 (step @p28 :rule cong :premises (@p27 @p21) :args (@t20)) % 22.43/22.68 (step @p29 :rule instantiate :premises (@p5) :args ((@list @t19 tptp.b2 tptp.b2))) % 22.43/22.68 (step @p30 :rule symm :premises (@p29)) % 22.43/22.68 (step @p31 :rule refl :args (@t21)) % 22.43/22.68 (step @p32 :rule symm :premises (@p26)) % 22.43/22.68 (step @p33 :rule cong :premises (@p30) :args (@t22)) % 22.43/22.68 (step @p34 :rule cong :premises (@p33 @p24) :args (@t23)) % 22.43/22.68 (step @p35 :rule trans :premises (@p34 @p32)) % 22.43/22.68 (step @p36 :rule cong :premises (@p35 @p31) :args (@t24)) % 22.43/22.68 (step @p37 :rule trans :premises (@p36 @p30)) % 22.43/22.68 (step @p38 :rule refl :args (@t19)) % 22.43/22.68 (step @p39 :rule cong :premises (@p38 @p37) :args ((tptp.multiply @t19 @t24))) % 22.43/22.68 (step @p40 :rule instantiate :premises (@p5) :args ((@list @t19 @t21 @t17))) % 22.43/22.68 (step @p41 :rule trans :premises (@p40 @p39 @p28)) % 22.43/22.68 (step @p42 :rule refl :args (@t7)) % 22.43/22.68 (step @p43 :rule cong :premises (@p42 @p41) :args ((tptp.multiply @t7 @t17))) % 22.43/22.68 (step @p44 :rule trans :premises (@p22 @p43 @p20)) % 22.43/22.68 (step @p45 :rule refl :args (@t9)) % 22.43/22.68 (step @p46 :rule cong :premises (@p45 @p44) :args (@t11)) % 22.43/22.68 (step @p47 :rule trans :premises (@p46 @p18)) % 22.43/22.68 (step @p48 :rule cong :premises (@p47) :args (@t12)) % 22.43/22.68 (step @p49 :rule cong :premises (@p48 @p13) :args (@t13)) % 22.43/22.68 (step @p50 :rule trans :premises (@p49 @p16)) % 22.43/22.68 (step @p51 :rule cong :premises (@p50 @p12) :args ((tptp.multiply @t13 @t15))) % 22.43/22.68 (step @p52 :rule trans :premises (@p14 @p51)) % 22.43/22.68 (step @p53 :rule refl :args (@t13)) % 22.43/22.68 (step @p54 :rule cong :premises (@p53 @p52) :args (@t14)) % 22.43/22.68 (step @p55 :rule symm :premises (@p49)) % 22.43/22.68 (step @p56 :rule instantiate :premises (@p5) :args ((@list @t9 tptp.b2 tptp.a2))) % 22.43/22.68 (step @p57 :rule symm :premises (@p56)) % 22.43/22.68 (step @p58 :rule trans :premises (@p57 @p8 @p55)) % 22.43/22.68 (step @p59 :rule cong :premises (@p58 @p21) :args (@t26)) % 22.43/22.68 (step @p60 :rule trans :premises (@p59 @p54 @p11)) % 22.43/22.68 (step @p61 :rule cong :premises (@p42 @p60) :args ((tptp.multiply @t7 @t26))) % 22.43/22.68 (step @p62 :rule instantiate :premises (@p5) :args ((@list @t7 tptp.b2 @t25))) % 22.43/22.68 (step @p63 :rule refl :args (tptp.a2)) % 22.43/22.68 (step @p64 :rule symm :premises (@p48)) % 22.43/22.68 (step @p65 :rule cong :premises (@p64 @p63) :args ((tptp.multiply @t7 tptp.a2))) % 22.43/22.68 (step @p66 :rule cong :premises (@p25 @p63) :args ((tptp.multiply @t18 tptp.a2))) % 22.43/22.68 (step @p67 :rule trans :premises (@p66 @p65)) % 22.43/22.68 (step @p68 :rule symm :premises (@p66)) % 22.43/22.68 (step @p69 :rule instantiate :premises (@p5) :args ((@list @t8 @t29 tptp.b2))) % 22.43/22.68 (step @p70 :rule symm :premises (@p69)) % 22.43/22.68 (step @p71 :rule refl :args (@t29)) % 22.43/22.68 (step @p72 :rule instantiate :premises (@p5) :args ((@list @t8 tptp.b2 tptp.b2))) % 22.43/22.68 (step @p73 :rule cong :premises (@p72) :args (@t7)) % 22.43/22.68 (step @p74 :rule cong :premises (@p73 @p21) :args (@t8)) % 22.43/22.68 (step @p75 :rule cong :premises (@p74 @p71) :args ((tptp.multiply @t8 @t29))) % 22.43/22.68 (step @p76 :rule trans :premises (@p72 @p75)) % 22.43/22.68 (step @p77 :rule refl :args (@t8)) % 22.43/22.68 (step @p78 :rule cong :premises (@p77 @p76) :args (@t27)) % 22.43/22.68 (step @p79 :rule trans :premises (@p78 @p70)) % 22.43/22.68 (step @p80 :rule cong :premises (@p79) :args (@t28)) % 22.43/22.68 (step @p81 :rule cong :premises (@p80 @p63) :args (@t30)) % 22.43/22.68 (step @p82 :rule trans :premises (@p81 @p68)) % 22.43/22.68 (step @p83 :rule trans :premises (@p82 @p67)) % 22.43/22.68 (step @p84 :rule cong :premises (@p83 @p21) :args (@t31)) % 22.43/22.68 (step @p85 :rule trans :premises (@p84 @p62 @p61 @p9)) % 22.43/22.68 (step @p86 :rule cong :premises (@p77 @p85) :args (@t32)) % 22.43/22.68 (step @p87 :rule cong :premises (@p63 @p86) :args (@t33)) % 22.43/22.68 (step @p88 :rule trans :premises (@p87 @p7)) % 22.43/22.68 (step @p89 :rule false_elim :premises (@p88)) % 22.43/22.68 (assume-push @p96 @t34) % 22.43/22.68 (step @p91 :rule instantiate :premises (@p5) :args ((@list @t8 tptp.b2 tptp.a2))) % 22.43/22.68 (step-pop @p97 :rule scope :premises (@p91)) % 22.43/22.68 (step @p92 :rule process_scope :premises (@p97) :args (@t33)) % 22.43/22.68 (step @p94 :rule implies_elim :premises (@p92)) % 22.43/22.68 (step @p95 false :rule chain_m_resolution :premises (@p94 @p89 @p5) :args (false (@list true false) (@list @t33 @t34))) % 22.43/22.68 ) % 22.43/22.68 % SZS output end Proof % 22.43/22.68 % cvc5 exiting %------------------------------------------------------------------------------