%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP768-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:21:28 AM UTC 2026 % Result : Unsatisfiable 33.87s 34.13s % Output : Proof 33.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP768-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n028.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 02:03:20 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----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... % 15.62/15.85 --- Run --no-e-matching --full-saturate-quant at 6... % 21.63/21.87 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.74/27.90 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.72/33.94 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.87/34.13 % SZS status Unsatisfiable % 33.87/34.13 % SZS output start Proof % 33.87/34.13 ( % 33.87/34.13 (declare-sort $$unsorted 0) % 33.87/34.13 (declare-const tptp.x1 $$unsorted) % 33.87/34.13 (declare-const tptp.x2 $$unsorted) % 33.87/34.13 (declare-const tptp.t (-> $$unsorted $$unsorted $$unsorted)) % 33.87/34.13 (declare-const tptp.eta (-> $$unsorted $$unsorted)) % 33.87/34.13 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 33.87/34.13 (declare-const tptp.i (-> $$unsorted $$unsorted)) % 33.87/34.13 (declare-const tptp.quotient (-> $$unsorted $$unsorted $$unsorted)) % 33.87/34.13 (declare-const tptp.x0 $$unsorted) % 33.87/34.13 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 33.87/34.13 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted)) % 33.87/34.13 (declare-const tptp.one $$unsorted) % 33.87/34.13 (define @t1 () (@var "A" $$unsorted)) % 33.87/34.13 (define @t2 () (@list @t1)) % 33.87/34.13 (define @t3 () (@var "B" $$unsorted)) % 33.87/34.13 (define @t4 () (tptp.product @t1 (tptp.difference @t1 @t3))) % 33.87/34.13 (define @t5 () (@list @t1 @t3)) % 33.87/34.13 (define @t6 () (forall @t5 (= @t4 @t3))) % 33.87/34.13 (define @t7 () (tptp.product @t1 @t3)) % 33.87/34.13 (define @t8 () (tptp.difference @t1 @t7)) % 33.87/34.13 (define @t9 () (forall @t5 (= @t8 @t3))) % 33.87/34.13 (define @t10 () (tptp.quotient @t7 @t3)) % 33.87/34.13 (define @t11 () (forall @t5 (= @t10 @t1))) % 33.87/34.13 (define @t12 () (tptp.product (tptp.quotient @t1 @t3) @t3)) % 33.87/34.13 (define @t13 () (forall @t5 (= @t12 @t1))) % 33.87/34.13 (define @t14 () (@var "C" $$unsorted)) % 33.87/34.13 (define @t15 () (@list @t1 @t3 @t14)) % 33.87/34.13 (define @t16 () (forall @t15 (= (tptp.difference @t1 (tptp.product @t7 @t14)) (tptp.quotient (tptp.product @t3 (tptp.product @t14 @t1)) @t1)))) % 33.87/34.13 (define @t17 () (tptp.product @t3 @t14)) % 33.87/34.13 (define @t18 () (tptp.i @t1)) % 33.87/34.13 (define @t19 () (tptp.j @t1)) % 33.87/34.13 (define @t20 () (tptp.product @t18 @t1)) % 33.87/34.13 (define @t21 () (tptp.eta @t1)) % 33.87/34.13 (define @t22 () (forall @t2 (= @t21 @t20))) % 33.87/34.13 (define @t23 () (tptp.product @t21 @t3)) % 33.87/34.13 (define @t24 () (tptp.quotient @t19 @t1)) % 33.87/34.13 (define @t25 () (tptp.product @t24 (tptp.product @t1 @t1))) % 33.87/34.13 (define @t26 () (tptp.eta tptp.x0)) % 33.87/34.13 (define @t27 () (tptp.t @t26 tptp.x2)) % 33.87/34.13 (define @t28 () (tptp.t @t26 tptp.x1)) % 33.87/34.13 (define @t29 () (tptp.product @t28 @t27)) % 33.87/34.13 (define @t30 () (tptp.product tptp.x1 tptp.x2)) % 33.87/34.13 (define @t31 () (tptp.product @t27 @t26)) % 33.87/34.13 (define @t32 () (tptp.product @t28 @t31)) % 33.87/34.13 (define @t33 () (tptp.quotient @t32 @t26)) % 33.87/34.13 (define @t34 () (tptp.difference @t26 (tptp.product (tptp.product @t26 @t28) @t27))) % 33.87/34.13 (define @t35 () (= @t34 @t33)) % 33.87/34.13 (define @t36 () (= @t33 @t34)) % 33.87/34.13 (define @t37 () (tptp.product @t26 tptp.x2)) % 33.87/34.13 (define @t38 () (tptp.quotient @t37 @t26)) % 33.87/34.13 (define @t39 () (tptp.product @t28 @t38)) % 33.87/34.13 (define @t40 () (tptp.product @t26 tptp.x1)) % 33.87/34.13 (define @t41 () (tptp.quotient @t40 @t26)) % 33.87/34.13 (define @t42 () (tptp.product (tptp.product @t41 @t26) tptp.x2)) % 33.87/34.13 (define @t43 () (@list tptp.x0)) % 33.87/34.13 (assume @p1 (forall @t2 (= (tptp.product @t1 tptp.one) @t1))) % 33.87/34.13 (assume @p2 (forall @t2 (= (tptp.product tptp.one @t1) @t1))) % 33.87/34.13 (assume @p3 @t6) % 33.87/34.13 (assume @p4 @t9) % 33.87/34.13 (assume @p5 @t11) % 33.87/34.13 (assume @p6 @t13) % 33.87/34.13 (assume @p7 @t16) % 33.87/34.13 (assume @p8 (forall @t15 (= (tptp.difference @t7 (tptp.product @t1 @t17)) (tptp.quotient (tptp.quotient (tptp.product @t14 @t7) @t3) @t1)))) % 33.87/34.13 (assume @p9 (forall @t2 (= @t18 (tptp.difference @t1 tptp.one)))) % 33.87/34.13 (assume @p10 (forall @t2 (= @t19 (tptp.quotient tptp.one @t1)))) % 33.87/34.13 (assume @p11 (forall @t2 (= @t20 (tptp.product @t1 @t19)))) % 33.87/34.13 (assume @p12 @t22) % 33.87/34.13 (assume @p13 (forall @t5 (= (tptp.product (tptp.i @t18) @t3) (tptp.product @t21 @t7)))) % 33.87/34.13 (assume @p14 (forall @t5 (= (tptp.product @t1 @t23) (tptp.product (tptp.j @t19) @t3)))) % 33.87/34.13 (assume @p15 (forall @t5 (= (tptp.product @t1 (tptp.product @t3 @t21)) (tptp.product @t7 @t21)))) % 33.87/34.13 (assume @p16 (forall @t15 (= (tptp.product @t21 @t17) (tptp.product @t23 @t14)))) % 33.87/34.13 (assume @p17 (forall @t2 (= @t24 (tptp.product @t19 @t18)))) % 33.87/34.13 (assume @p18 (forall @t15 (= (tptp.product (tptp.product @t25 @t3) @t14) (tptp.product @t25 @t17)))) % 33.87/34.13 (assume @p19 (forall @t5 (= (tptp.t @t1 @t3) (tptp.quotient @t7 @t1)))) % 33.87/34.13 (assume @p20 (not (= (tptp.t @t26 @t30) @t29))) % 33.87/34.13 (step @p21 :rule bool-eq-false :args (@t35)) % 33.87/34.13 (step @p22 :rule symm :premises (@p21)) % 33.87/34.13 (step @p23 :rule eq-symm :args (@t33 @t34)) % 33.87/34.13 (step @p24 :rule cong :premises (@p23) :args ((not @t36))) % 33.87/34.13 (step @p25 :rule bool-eq-false :args (@t36)) % 33.87/34.13 (step @p26 :rule trans :premises (@p25 @p24)) % 33.87/34.13 (step @p27 :rule trans :premises (@p26 @p22)) % 33.87/34.13 (step @p28 :rule false_intro :premises (@p20)) % 33.87/34.13 (step @p29 :rule instantiate :premises (@p19) :args ((@list @t26 tptp.x2))) % 33.87/34.13 (step @p30 :rule symm :premises (@p29)) % 33.87/34.13 (step @p31 :rule refl :args (@t28)) % 33.87/34.13 (step @p32 :rule cong :premises (@p31 @p30) :args (@t39)) % 33.87/34.13 (step @p33 :rule eq-symm :args (@t8 @t3)) % 33.87/34.13 (step @p34 :rule cong :premises (@p33) :args (@t9)) % 33.87/34.13 (step @p35 :rule eq_resolve :premises (@p4 @p34)) % 33.87/34.13 (step @p36 :rule instantiate :premises (@p35) :args ((@list @t26 @t39))) % 33.87/34.13 (step @p37 :rule symm :premises (@p36)) % 33.87/34.13 (step @p38 :rule symm :premises (@p32)) % 33.87/34.13 (step @p39 :rule refl :args (@t26)) % 33.87/34.13 (step @p40 :rule cong :premises (@p39 @p38) :args ((tptp.product @t26 @t29))) % 33.87/34.13 (step @p41 :rule instantiate :premises (@p16) :args ((@list tptp.x0 @t28 @t27))) % 33.87/34.13 (step @p42 :rule symm :premises (@p41)) % 33.87/34.13 (step @p43 :rule trans :premises (@p42 @p40)) % 33.87/34.13 (step @p44 :rule cong :premises (@p39 @p43) :args (@t34)) % 33.87/34.13 (step @p45 :rule trans :premises (@p44 @p37 @p32)) % 33.87/34.13 (step @p46 :rule instantiate :premises (@p19) :args ((@list @t26 @t30))) % 33.87/34.13 (step @p47 :rule symm :premises (@p46)) % 33.87/34.13 (step @p48 :rule instantiate :premises (@p16) :args ((@list tptp.x0 tptp.x1 tptp.x2))) % 33.87/34.13 (step @p49 :rule symm :premises (@p48)) % 33.87/34.13 (step @p50 :rule refl :args (tptp.x2)) % 33.87/34.13 (step @p51 :rule eq-symm :args (@t12 @t1)) % 33.87/34.13 (step @p52 :rule cong :premises (@p51) :args (@t13)) % 33.87/34.13 (step @p53 :rule eq_resolve :premises (@p6 @p52)) % 33.87/34.13 (step @p54 :rule instantiate :premises (@p53) :args ((@list @t40 @t26))) % 33.87/34.13 (step @p55 :rule symm :premises (@p54)) % 33.87/34.13 (step @p56 :rule cong :premises (@p55 @p50) :args (@t42)) % 33.87/34.13 (step @p57 :rule eq-symm :args (@t4 @t3)) % 33.87/34.13 (step @p58 :rule cong :premises (@p57) :args (@t6)) % 33.87/34.13 (step @p59 :rule eq_resolve :premises (@p3 @p58)) % 33.87/34.13 (step @p60 :rule instantiate :premises (@p59) :args ((@list @t41 @t42))) % 33.87/34.13 (step @p61 :rule symm :premises (@p60)) % 33.87/34.13 (step @p62 :rule instantiate :premises (@p7) :args ((@list @t41 @t26 tptp.x2))) % 33.87/34.13 (step @p63 :rule symm :premises (@p62)) % 33.87/34.13 (step @p64 :rule refl :args (@t41)) % 33.87/34.13 (step @p65 :rule instantiate :premises (@p16) :args ((@list tptp.x0 tptp.x2 @t41))) % 33.87/34.13 (step @p66 :rule symm :premises (@p65)) % 33.87/34.13 (step @p67 :rule cong :premises (@p66 @p64) :args ((tptp.quotient (tptp.product @t37 @t41) @t41))) % 33.87/34.13 (step @p68 :rule eq-symm :args (@t10 @t1)) % 33.87/34.13 (step @p69 :rule cong :premises (@p68) :args (@t11)) % 33.87/34.13 (step @p70 :rule eq_resolve :premises (@p5 @p69)) % 33.87/34.13 (step @p71 :rule instantiate :premises (@p70) :args ((@list @t37 @t41))) % 33.87/34.13 (step @p72 :rule trans :premises (@p71 @p67 @p63)) % 33.87/34.13 (step @p73 :rule cong :premises (@p64 @p72) :args ((tptp.product @t41 @t37))) % 33.87/34.13 (step @p74 :rule instantiate :premises (@p53) :args ((@list @t37 @t26))) % 33.87/34.13 (step @p75 :rule symm :premises (@p74)) % 33.87/34.13 (step @p76 :rule eq-symm :args (@t21 @t20)) % 33.87/34.13 (step @p77 :rule cong :premises (@p76) :args (@t22)) % 33.87/34.13 (step @p78 :rule eq_resolve :premises (@p12 @p77)) % 33.87/34.13 (step @p79 :rule instantiate :premises (@p78) :args (@t43)) % 33.87/34.13 (step @p80 :rule instantiate :premises (@p11) :args (@t43)) % 33.87/34.13 (step @p81 :rule symm :premises (@p80)) % 33.87/34.13 (step @p82 :rule trans :premises (@p81 @p79)) % 33.87/34.13 (step @p83 :rule refl :args (@t38)) % 33.87/34.13 (step @p84 :rule cong :premises (@p83 @p82) :args ((tptp.product @t38 (tptp.product tptp.x0 (tptp.j tptp.x0))))) % 33.87/34.13 (step @p85 :rule symm :premises (@p82)) % 33.87/34.13 (step @p86 :rule cong :premises (@p29 @p85) :args (@t31)) % 33.87/34.13 (step @p87 :rule trans :premises (@p86 @p84 @p75)) % 33.87/34.13 (step @p88 :rule instantiate :premises (@p19) :args ((@list @t26 tptp.x1))) % 33.87/34.13 (step @p89 :rule cong :premises (@p88 @p87) :args (@t32)) % 33.87/34.13 (step @p90 :rule trans :premises (@p89 @p73 @p61 @p56 @p49)) % 33.87/34.13 (step @p91 :rule cong :premises (@p90 @p39) :args (@t33)) % 33.87/34.13 (step @p92 :rule trans :premises (@p91 @p47)) % 33.87/34.13 (step @p93 :rule cong :premises (@p92 @p45) :args (@t36)) % 33.87/34.13 (step @p94 :rule trans :premises (@p93 @p28)) % 33.87/34.13 (step @p95 :rule eq_resolve :premises (@p94 @p27)) % 33.87/34.13 (step @p96 :rule false_elim :premises (@p95)) % 33.87/34.13 (assume-push @p103 @t16) % 33.87/34.13 (step @p98 :rule instantiate :premises (@p7) :args ((@list @t26 @t28 @t27))) % 33.87/34.13 (step-pop @p104 :rule scope :premises (@p98)) % 33.87/34.13 (step @p99 :rule process_scope :premises (@p104) :args (@t35)) % 33.87/34.13 (step @p101 :rule implies_elim :premises (@p99)) % 33.87/34.13 (step @p102 false :rule chain_m_resolution :premises (@p101 @p96 @p7) :args (false (@list true false) (@list @t35 @t16))) % 33.87/34.13 ) % 33.87/34.13 % SZS output end Proof % 33.87/34.14 % cvc5 exiting %------------------------------------------------------------------------------