%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP682-10 : TPTP v9.2.1. Released v8.1.0. % 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 08:21:17 AM UTC 2026 % Result : Unsatisfiable 16.12s 16.34s % Output : Proof 16.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP682-10 : TPTP v9.2.1. Released v8.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.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 01:50:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.48 %----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... % 15.50/15.74 --- Run --no-e-matching --full-saturate-quant at 6... % 16.12/16.34 % SZS status Unsatisfiable % 16.12/16.34 % SZS output start Proof % 16.12/16.35 ( % 16.12/16.35 (declare-sort $$unsorted 0) % 16.12/16.35 (declare-const tptp.x1 $$unsorted) % 16.12/16.35 (declare-const tptp.x0 $$unsorted) % 16.12/16.35 (declare-const tptp.x2 $$unsorted) % 16.12/16.35 (declare-const tptp.rd (-> $$unsorted $$unsorted $$unsorted)) % 16.12/16.35 (declare-const tptp.ld (-> $$unsorted $$unsorted $$unsorted)) % 16.12/16.35 (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted)) % 16.12/16.35 (define @t1 () (@var "A" $$unsorted)) % 16.12/16.35 (define @t2 () (tptp.mult @t1 @t1)) % 16.12/16.35 (define @t3 () (tptp.ld @t1 @t2)) % 16.12/16.35 (define @t4 () (@list @t1)) % 16.12/16.35 (define @t5 () (forall @t4 (= @t3 @t1))) % 16.12/16.35 (define @t6 () (@var "B" $$unsorted)) % 16.12/16.35 (define @t7 () (tptp.mult @t1 @t6)) % 16.12/16.35 (define @t8 () (tptp.ld @t1 @t6)) % 16.12/16.35 (define @t9 () (@list @t1 @t6)) % 16.12/16.35 (define @t10 () (forall @t9 (= (tptp.mult @t1 @t8) (tptp.ld @t1 @t7)))) % 16.12/16.35 (define @t11 () (@var "D" $$unsorted)) % 16.12/16.35 (define @t12 () (@var "C" $$unsorted)) % 16.12/16.35 (define @t13 () (@list @t1 @t6 @t12 @t11)) % 16.12/16.35 (define @t14 () (forall @t13 (= (tptp.ld @t8 (tptp.mult @t8 (tptp.mult @t12 @t11))) (tptp.mult (tptp.ld @t1 (tptp.mult @t1 @t12)) @t11)))) % 16.12/16.35 (define @t15 () (tptp.rd @t12 @t11)) % 16.12/16.35 (define @t16 () (tptp.ld tptp.x0 tptp.x1)) % 16.12/16.35 (define @t17 () (tptp.ld @t16 (tptp.mult @t16 tptp.x2))) % 16.12/16.35 (define @t18 () (= @t17 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x2)))) % 16.12/16.35 (define @t19 () (not @t18)) % 16.12/16.35 (define @t20 () (tptp.ld tptp.x0 tptp.x0)) % 16.12/16.35 (define @t21 () (tptp.mult tptp.x0 @t20)) % 16.12/16.35 (define @t22 () (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) % 16.12/16.35 (define @t23 () (= @t21 @t22)) % 16.12/16.35 (define @t24 () (@list tptp.x0 tptp.x0)) % 16.12/16.35 (define @t25 () (= @t22 @t21)) % 16.12/16.35 (define @t26 () (@list false)) % 16.12/16.35 (define @t27 () (@list @t10)) % 16.12/16.35 (define @t28 () (tptp.ld tptp.x2 tptp.x2)) % 16.12/16.35 (define @t29 () (tptp.mult tptp.x2 @t28)) % 16.12/16.35 (define @t30 () (tptp.ld tptp.x2 (tptp.mult tptp.x2 tptp.x2))) % 16.12/16.35 (define @t31 () (= @t29 @t30)) % 16.12/16.35 (define @t32 () (@list tptp.x2 tptp.x2)) % 16.12/16.35 (define @t33 () (= @t30 @t29)) % 16.12/16.35 (define @t34 () (tptp.mult @t16 @t16)) % 16.12/16.35 (define @t35 () (tptp.ld @t16 @t34)) % 16.12/16.35 (define @t36 () (tptp.mult @t35 @t29)) % 16.12/16.35 (define @t37 () (tptp.ld @t35 @t36)) % 16.12/16.35 (define @t38 () (tptp.mult @t17 @t28)) % 16.12/16.35 (define @t39 () (= @t37 @t38)) % 16.12/16.35 (define @t40 () (= @t38 @t37)) % 16.12/16.35 (define @t41 () (@list @t14)) % 16.12/16.35 (define @t42 () (tptp.mult @t16 tptp.x0)) % 16.12/16.35 (define @t43 () (tptp.ld @t16 @t42)) % 16.12/16.35 (define @t44 () (tptp.mult @t43 @t29)) % 16.12/16.35 (define @t45 () (tptp.ld @t43 @t44)) % 16.12/16.35 (define @t46 () (= @t45 @t38)) % 16.12/16.35 (define @t47 () (= @t38 @t45)) % 16.12/16.35 (define @t48 () (not @t47)) % 16.12/16.35 (define @t49 () (not @t40)) % 16.12/16.35 (define @t50 () (tptp.mult @t22 @t20)) % 16.12/16.35 (define @t51 () (= (tptp.ld @t16 (tptp.mult @t16 @t21)) @t50)) % 16.12/16.35 (define @t52 () (not @t51)) % 16.12/16.35 (define @t53 () (not @t33)) % 16.12/16.35 (define @t54 () (= @t16 @t35)) % 16.12/16.35 (define @t55 () (not @t54)) % 16.12/16.35 (define @t56 () (= tptp.x2 @t30)) % 16.12/16.35 (define @t57 () (not @t56)) % 16.12/16.35 (define @t58 () (not @t25)) % 16.12/16.35 (define @t59 () (= tptp.x0 @t22)) % 16.12/16.35 (define @t60 () (not @t59)) % 16.12/16.35 (define @t61 () (and @t19 @t59 @t25 @t56 @t54 @t33 @t51 @t40)) % 16.12/16.35 (assume @p1 @t5) % 16.12/16.35 (assume @p2 (forall @t4 (= (tptp.rd @t2 @t1) @t1))) % 16.12/16.35 (assume @p3 @t10) % 16.12/16.35 (assume @p4 (forall @t9 (= (tptp.mult (tptp.rd @t1 @t6) @t6) (tptp.rd @t7 @t6)))) % 16.12/16.35 (assume @p5 @t14) % 16.12/16.35 (assume @p6 (forall @t13 (= (tptp.rd (tptp.mult @t7 @t15) @t15) (tptp.mult @t1 (tptp.rd (tptp.mult @t6 @t11) @t11))))) % 16.12/16.35 (assume @p7 (forall @t9 (= (tptp.ld @t1 (tptp.mult @t1 (tptp.ld @t6 @t6))) (tptp.rd (tptp.mult (tptp.rd @t1 @t1) @t6) @t6)))) % 16.12/16.35 (assume @p8 @t19) % 16.12/16.35 (step @p9 :rule eq-symm :args (@t3 @t1)) % 16.12/16.35 (step @p10 :rule cong :premises (@p9) :args (@t5)) % 16.12/16.35 (step @p11 :rule eq_resolve :premises (@p1 @p10)) % 16.12/16.35 (step @p12 :rule instantiate :premises (@p11) :args ((@list tptp.x0))) % 16.12/16.35 (step @p13 :rule eq-symm :args (@t21 @t22)) % 16.12/16.35 (step @p14 :rule refl :args (@t10)) % 16.12/16.35 (step @p15 :rule cong :premises (@p14 @p13) :args ((=> @t10 @t23))) % 16.12/16.35 (assume-push @p106 @t10) % 16.12/16.35 (step @p17 :rule instantiate :premises (@p3) :args (@t24)) % 16.12/16.35 (step-pop @p107 :rule scope :premises (@p17)) % 16.12/16.35 (step @p18 :rule process_scope :premises (@p107) :args (@t23)) % 16.12/16.35 (step @p20 :rule eq_resolve :premises (@p18 @p15)) % 16.12/16.35 (step @p21 :rule implies_elim :premises (@p20)) % 16.12/16.35 (step @p22 :rule chain_m_resolution :premises (@p21 @p3) :args (@t25 @t26 @t27)) % 16.12/16.35 (step @p23 :rule instantiate :premises (@p11) :args ((@list tptp.x2))) % 16.12/16.35 (step @p24 :rule instantiate :premises (@p11) :args ((@list @t16))) % 16.12/16.35 (step @p25 :rule eq-symm :args (@t29 @t30)) % 16.12/16.35 (step @p26 :rule cong :premises (@p14 @p25) :args ((=> @t10 @t31))) % 16.12/16.35 (assume-push @p108 @t10) % 16.12/16.35 (step @p28 :rule instantiate :premises (@p3) :args (@t32)) % 16.12/16.35 (step-pop @p109 :rule scope :premises (@p28)) % 16.12/16.35 (step @p29 :rule process_scope :premises (@p109) :args (@t31)) % 16.12/16.35 (step @p31 :rule eq_resolve :premises (@p29 @p26)) % 16.12/16.35 (step @p32 :rule implies_elim :premises (@p31)) % 16.12/16.35 (step @p33 :rule chain_m_resolution :premises (@p32 @p3) :args (@t33 @t26 @t27)) % 16.12/16.35 (step @p34 :rule instantiate :premises (@p5) :args ((@list tptp.x0 tptp.x1 tptp.x0 @t20))) % 16.12/16.35 (step @p35 :rule eq-symm :args (@t37 @t38)) % 16.12/16.35 (step @p36 :rule refl :args (@t14)) % 16.12/16.35 (step @p37 :rule cong :premises (@p36 @p35) :args ((=> @t14 @t39))) % 16.12/16.35 (assume-push @p110 @t14) % 16.12/16.35 (step @p39 :rule instantiate :premises (@p5) :args ((@list @t16 @t34 tptp.x2 @t28))) % 16.12/16.35 (step-pop @p111 :rule scope :premises (@p39)) % 16.12/16.35 (step @p40 :rule process_scope :premises (@p111) :args (@t39)) % 16.12/16.35 (step @p42 :rule eq_resolve :premises (@p40 @p37)) % 16.12/16.35 (step @p43 :rule implies_elim :premises (@p42)) % 16.12/16.35 (step @p44 :rule chain_m_resolution :premises (@p43 @p5) :args (@t40 @t26 @t41)) % 16.12/16.35 (step @p45 :rule eq-symm :args (@t45 @t38)) % 16.12/16.35 (step @p46 :rule cong :premises (@p36 @p45) :args ((=> @t14 @t46))) % 16.12/16.35 (assume-push @p112 @t14) % 16.12/16.35 (step @p48 :rule instantiate :premises (@p5) :args ((@list @t16 @t42 tptp.x2 @t28))) % 16.12/16.35 (step-pop @p113 :rule scope :premises (@p48)) % 16.12/16.35 (step @p49 :rule process_scope :premises (@p113) :args (@t46)) % 16.12/16.35 (step @p51 :rule eq_resolve :premises (@p49 @p46)) % 16.12/16.35 (step @p52 :rule implies_elim :premises (@p51)) % 16.12/16.35 (step @p53 :rule chain_m_resolution :premises (@p52 @p5) :args (@t47 @t26 @t41)) % 16.12/16.35 (step @p54 :rule refl :args (@t48)) % 16.12/16.35 (step @p55 :rule refl :args (@t49)) % 16.12/16.35 (step @p56 :rule refl :args (@t52)) % 16.12/16.35 (step @p57 :rule refl :args (@t53)) % 16.12/16.35 (step @p58 :rule refl :args (@t55)) % 16.12/16.35 (step @p59 :rule refl :args (@t57)) % 16.12/16.35 (step @p60 :rule refl :args (@t58)) % 16.12/16.35 (step @p61 :rule refl :args (@t60)) % 16.12/16.35 (step @p62 :rule bool-double-not-elim :args (@t18)) % 16.12/16.35 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54) :args ((or (not @t19) @t60 @t58 @t57 @t55 @t53 @t52 @t49 @t48))) % 16.12/16.35 (assume-push @p114 @t19) % 16.12/16.35 (assume-push @p115 @t59) % 16.12/16.35 (assume-push @p116 @t25) % 16.12/16.35 (assume-push @p117 @t56) % 16.12/16.35 (assume-push @p118 @t54) % 16.12/16.35 (assume-push @p119 @t33) % 16.12/16.35 (assume-push @p120 @t51) % 16.12/16.35 (assume-push @p121 @t40) % 16.12/16.35 (step @p72 :rule false_intro :premises (@p8)) % 16.12/16.35 (step @p73 :rule symm :premises (@p23)) % 16.12/16.35 (step @p28 :rule instantiate :premises (@p3) :args (@t32)) % 16.12/16.35 (step @p74 :rule trans :premises (@p28 @p73)) % 16.12/16.35 (step @p75 :rule symm :premises (@p12)) % 16.12/16.35 (step @p17 :rule instantiate :premises (@p3) :args (@t24)) % 16.12/16.35 (step @p76 :rule refl :args (@t20)) % 16.12/16.35 (step @p77 :rule cong :premises (@p75 @p76) :args (@t50)) % 16.12/16.35 (step @p78 :rule trans :premises (@p12 @p22)) % 16.12/16.35 (step @p79 :rule refl :args (@t16)) % 16.12/16.35 (step @p80 :rule cong :premises (@p79 @p78) :args (@t42)) % 16.12/16.35 (step @p81 :rule cong :premises (@p79 @p80) :args (@t43)) % 16.12/16.35 (step @p82 :rule trans :premises (@p81 @p34 @p77 @p17 @p75)) % 16.12/16.35 (step @p83 :rule cong :premises (@p82 @p74) :args (@t44)) % 16.12/16.35 (step @p84 :rule cong :premises (@p82 @p83) :args (@t45)) % 16.12/16.35 (step @p85 :rule symm :premises (@p24)) % 16.12/16.35 (step @p86 :rule cong :premises (@p85 @p74) :args (@t36)) % 16.12/16.35 (step @p87 :rule cong :premises (@p85 @p86) :args (@t37)) % 16.12/16.35 (step @p88 :rule trans :premises (@p44 @p87)) % 16.12/16.35 (step @p89 :rule cong :premises (@p88 @p84) :args (@t47)) % 16.12/16.35 (step @p90 :rule trans :premises (@p89 @p72)) % 16.12/16.35 (step @p91 :rule false_elim :premises (@p90)) % 16.12/16.35 (step-pop @p122 :rule scope :premises (@p91)) % 16.12/16.35 (step-pop @p123 :rule scope :premises (@p122)) % 16.12/16.35 (step-pop @p124 :rule scope :premises (@p123)) % 16.12/16.35 (step-pop @p125 :rule scope :premises (@p124)) % 16.12/16.35 (step-pop @p126 :rule scope :premises (@p125)) % 16.12/16.35 (step-pop @p127 :rule scope :premises (@p126)) % 16.12/16.35 (step-pop @p128 :rule scope :premises (@p127)) % 16.12/16.35 (step-pop @p129 :rule scope :premises (@p128)) % 16.12/16.35 (step @p92 :rule process_scope :premises (@p129) :args (@t48)) % 16.12/16.35 (step @p101 :rule implies_elim :premises (@p92)) % 16.12/16.35 (step @p102 :rule cnf_and_neg :args (@t61)) % 16.12/16.35 (step @p103 :rule resolution :premises (@p102 @p101) :args (true @t61)) % 16.12/16.35 (step @p104 :rule eq_resolve :premises (@p103 @p63)) % 16.12/16.35 (step @p105 false :rule chain_m_resolution :premises (@p104 @p53 @p44 @p34 @p33 @p24 @p23 @p22 @p12 @p8) :args (false (@list false false false false false false false false true) (@list @t47 @t40 @t51 @t33 @t54 @t56 @t25 @t59 @t18))) % 16.12/16.35 ) % 16.12/16.35 % SZS output end Proof % 16.12/16.35 % cvc5 exiting %------------------------------------------------------------------------------