%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO006-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:09:00 AM UTC 2026 % Result : Unsatisfiable 2.32s 2.57s % Output : Proof 2.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : BOO006-1 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 02:34:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.32/2.57 % SZS status Unsatisfiable % 2.32/2.57 % SZS output start Proof % 2.32/2.57 ( % 2.32/2.57 (declare-sort $$unsorted 0) % 2.32/2.57 (declare-const tptp.x $$unsorted) % 2.32/2.57 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 2.32/2.57 (declare-const tptp.multiplicative_identity $$unsorted) % 2.32/2.57 (declare-const tptp.additive_identity $$unsorted) % 2.32/2.57 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.32/2.57 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 2.32/2.57 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.32/2.57 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 2.32/2.57 (define @t1 () (@var "Y" $$unsorted)) % 2.32/2.57 (define @t2 () (@var "X" $$unsorted)) % 2.32/2.57 (define @t3 () (@list @t2 @t1)) % 2.32/2.57 (define @t4 () (@var "Z" $$unsorted)) % 2.32/2.57 (define @t5 () (@list @t2 @t1 @t4)) % 2.32/2.57 (define @t6 () (@list @t2)) % 2.32/2.57 (define @t7 () (@var "V4" $$unsorted)) % 2.32/2.57 (define @t8 () (@var "V2" $$unsorted)) % 2.32/2.57 (define @t9 () (@var "V1" $$unsorted)) % 2.32/2.57 (define @t10 () (tptp.sum @t9 @t8 @t7)) % 2.32/2.57 (define @t11 () (@var "V3" $$unsorted)) % 2.32/2.57 (define @t12 () (tptp.product @t2 @t11 @t7)) % 2.32/2.57 (define @t13 () (not (tptp.sum @t1 @t4 @t11))) % 2.32/2.57 (define @t14 () (not (tptp.product @t2 @t4 @t8))) % 2.32/2.57 (define @t15 () (not (tptp.product @t2 @t1 @t9))) % 2.32/2.57 (define @t16 () (@list @t2 @t1 @t9 @t4 @t8 @t11 @t7)) % 2.32/2.57 (define @t17 () (not @t10)) % 2.32/2.57 (define @t18 () (tptp.product @t11 @t2 @t7)) % 2.32/2.57 (define @t19 () (not (tptp.product @t4 @t2 @t8))) % 2.32/2.57 (define @t20 () (not (tptp.product @t1 @t2 @t9))) % 2.32/2.57 (define @t21 () (@list @t1 @t2 @t9 @t4 @t8 @t11 @t7)) % 2.32/2.57 (define @t22 () (forall @t21 (or @t20 @t19 @t13 (not @t18) @t10))) % 2.32/2.57 (define @t23 () (tptp.product @t9 @t8 @t7)) % 2.32/2.57 (define @t24 () (tptp.sum @t2 @t11 @t7)) % 2.32/2.57 (define @t25 () (not (tptp.product @t1 @t4 @t11))) % 2.32/2.57 (define @t26 () (not (tptp.sum @t2 @t4 @t8))) % 2.32/2.57 (define @t27 () (not (tptp.sum @t2 @t1 @t9))) % 2.32/2.57 (define @t28 () (not @t23)) % 2.32/2.57 (define @t29 () (tptp.sum @t11 @t2 @t7)) % 2.32/2.57 (define @t30 () (not (tptp.sum @t4 @t2 @t8))) % 2.32/2.57 (define @t31 () (not (tptp.sum @t1 @t2 @t9))) % 2.32/2.57 (define @t32 () (tptp.inverse @t2)) % 2.32/2.57 (define @t33 () (@var "V" $$unsorted)) % 2.32/2.57 (define @t34 () (@var "U" $$unsorted)) % 2.32/2.57 (define @t35 () (= @t34 @t33)) % 2.32/2.57 (define @t36 () (@list @t2 @t1 @t34 @t33)) % 2.32/2.57 (define @t37 () (forall @t36 (or (not (tptp.sum @t2 @t1 @t34)) (not (tptp.sum @t2 @t1 @t33)) @t35))) % 2.32/2.57 (define @t38 () (tptp.product tptp.x tptp.additive_identity tptp.additive_identity)) % 2.32/2.57 (define @t39 () (tptp.multiply tptp.additive_identity tptp.x)) % 2.32/2.57 (define @t40 () (tptp.add tptp.additive_identity tptp.additive_identity)) % 2.32/2.57 (define @t41 () (@list tptp.x)) % 2.32/2.57 (define @t42 () (not (tptp.product tptp.additive_identity tptp.x tptp.additive_identity))) % 2.32/2.57 (define @t43 () (or @t42 @t38)) % 2.32/2.57 (define @t44 () (@list true false)) % 2.32/2.57 (define @t45 () (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity)) % 2.32/2.57 (define @t46 () (not @t45)) % 2.32/2.57 (define @t47 () (tptp.sum tptp.additive_identity tptp.additive_identity @t40)) % 2.32/2.57 (define @t48 () (not @t47)) % 2.32/2.57 (define @t49 () (or @t48 @t46 (= @t40 tptp.additive_identity))) % 2.32/2.57 (define @t50 () (= tptp.additive_identity @t40)) % 2.32/2.57 (define @t51 () (or @t48 @t46 @t50)) % 2.32/2.57 (define @t52 () (tptp.product @t40 tptp.x tptp.additive_identity)) % 2.32/2.57 (define @t53 () (tptp.sum tptp.additive_identity @t39 tptp.additive_identity)) % 2.32/2.57 (define @t54 () (not @t53)) % 2.32/2.57 (define @t55 () (tptp.product tptp.additive_identity tptp.x @t39)) % 2.32/2.57 (define @t56 () (not @t55)) % 2.32/2.57 (define @t57 () (tptp.sum tptp.additive_identity tptp.x tptp.x)) % 2.32/2.57 (define @t58 () (not @t57)) % 2.32/2.57 (define @t59 () (or @t48 @t58 @t56 @t54 @t52)) % 2.32/2.57 (define @t60 () (tptp.inverse tptp.x)) % 2.32/2.57 (define @t61 () (tptp.product @t60 tptp.x tptp.additive_identity)) % 2.32/2.57 (define @t62 () (not @t61)) % 2.32/2.57 (define @t63 () (tptp.sum @t60 tptp.additive_identity @t60)) % 2.32/2.57 (define @t64 () (not @t63)) % 2.32/2.57 (define @t65 () (or @t62 @t56 @t64 @t62 @t53)) % 2.32/2.57 (define @t66 () (not @t65)) % 2.32/2.57 (assume @p1 (forall @t3 (tptp.sum @t2 @t1 (tptp.add @t2 @t1)))) % 2.32/2.57 (assume @p2 (forall @t3 (tptp.product @t2 @t1 (tptp.multiply @t2 @t1)))) % 2.32/2.57 (assume @p3 (forall @t5 (or (not (tptp.sum @t2 @t1 @t4)) (tptp.sum @t1 @t2 @t4)))) % 2.32/2.57 (assume @p4 (forall @t5 (or (not (tptp.product @t2 @t1 @t4)) (tptp.product @t1 @t2 @t4)))) % 2.32/2.57 (assume @p5 (forall @t6 (tptp.sum tptp.additive_identity @t2 @t2))) % 2.32/2.57 (assume @p6 (forall @t6 (tptp.sum @t2 tptp.additive_identity @t2))) % 2.32/2.57 (assume @p7 (forall @t6 (tptp.product tptp.multiplicative_identity @t2 @t2))) % 2.32/2.57 (assume @p8 (forall @t6 (tptp.product @t2 tptp.multiplicative_identity @t2))) % 2.32/2.57 (assume @p9 (forall @t16 (or @t15 @t14 @t13 (not @t12) @t10))) % 2.32/2.57 (assume @p10 (forall @t16 (or @t15 @t14 @t13 @t17 @t12))) % 2.32/2.57 (assume @p11 @t22) % 2.32/2.57 (assume @p12 (forall @t21 (or @t20 @t19 @t13 @t17 @t18))) % 2.32/2.57 (assume @p13 (forall @t16 (or @t27 @t26 @t25 (not @t24) @t23))) % 2.32/2.57 (assume @p14 (forall @t16 (or @t27 @t26 @t25 @t28 @t24))) % 2.32/2.57 (assume @p15 (forall @t21 (or @t31 @t30 @t25 (not @t29) @t23))) % 2.32/2.57 (assume @p16 (forall @t21 (or @t31 @t30 @t25 @t28 @t29))) % 2.32/2.57 (assume @p17 (forall @t6 (tptp.sum @t32 @t2 tptp.multiplicative_identity))) % 2.32/2.57 (assume @p18 (forall @t6 (tptp.sum @t2 @t32 tptp.multiplicative_identity))) % 2.32/2.57 (assume @p19 (forall @t6 (tptp.product @t32 @t2 tptp.additive_identity))) % 2.32/2.57 (assume @p20 (forall @t6 (tptp.product @t2 @t32 tptp.additive_identity))) % 2.32/2.57 (assume @p21 @t37) % 2.32/2.57 (assume @p22 (forall @t36 (or (not (tptp.product @t2 @t1 @t34)) (not (tptp.product @t2 @t1 @t33)) @t35))) % 2.32/2.57 (assume @p23 (not @t38)) % 2.32/2.57 (step @p24 :rule instantiate :premises (@p13) :args ((@list tptp.additive_identity tptp.additive_identity @t40 tptp.x tptp.x @t39 tptp.additive_identity))) % 2.32/2.57 (step @p25 :rule instantiate :premises (@p2) :args ((@list tptp.additive_identity tptp.x))) % 2.32/2.57 (step @p26 :rule instantiate :premises (@p5) :args (@t41)) % 2.32/2.57 (step @p27 :rule instantiate :premises (@p4) :args ((@list tptp.additive_identity tptp.x tptp.additive_identity))) % 2.32/2.57 (step @p28 :rule cnf_or_pos :args (@t43)) % 2.32/2.57 (step @p29 :rule reordering :premises (@p28) :args ((or @t38 @t42 (not @t43)))) % 2.32/2.57 (step @p30 :rule chain_m_resolution :premises (@p29 @p23 @p27) :args (@t42 @t44 (@list @t38 @t43))) % 2.32/2.57 (step @p31 :rule false_intro :premises (@p30)) % 2.32/2.57 (step @p32 :rule refl :args (tptp.additive_identity)) % 2.32/2.57 (step @p33 :rule refl :args (tptp.x)) % 2.32/2.57 (step @p34 :rule eq-symm :args (@t40 tptp.additive_identity)) % 2.32/2.57 (step @p35 :rule refl :args (@t46)) % 2.32/2.57 (step @p36 :rule refl :args (@t48)) % 2.32/2.57 (step @p37 :rule nary_cong :premises (@p36 @p35 @p34) :args (@t49)) % 2.32/2.57 (step @p38 :rule refl :args (@t37)) % 2.32/2.57 (step @p39 :rule cong :premises (@p38 @p37) :args ((=> @t37 @t49))) % 2.32/2.57 (assume-push @p71 @t37) % 2.32/2.57 (step @p41 :rule instantiate :premises (@p21) :args ((@list tptp.additive_identity tptp.additive_identity @t40 tptp.additive_identity))) % 2.32/2.57 (step-pop @p72 :rule scope :premises (@p41)) % 2.32/2.57 (step @p42 :rule process_scope :premises (@p72) :args (@t49)) % 2.32/2.57 (step @p44 :rule eq_resolve :premises (@p42 @p39)) % 2.32/2.57 (step @p45 :rule implies_elim :premises (@p44)) % 2.32/2.57 (step @p46 :rule chain_m_resolution :premises (@p45 @p21) :args (@t51 (@list false) (@list @t37))) % 2.32/2.57 (step @p47 :rule instantiate :premises (@p1) :args ((@list tptp.additive_identity tptp.additive_identity))) % 2.32/2.57 (step @p48 :rule instantiate :premises (@p5) :args ((@list tptp.additive_identity))) % 2.32/2.57 (step @p49 :rule cnf_or_pos :args (@t51)) % 2.32/2.57 (step @p50 :rule reordering :premises (@p49) :args ((or @t46 @t48 @t50 (not @t51)))) % 2.32/2.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p47 @p46) :args (@t50 (@list false false false) (@list @t45 @t47 @t51))) % 2.32/2.57 (step @p52 :rule symm :premises (@p51)) % 2.32/2.57 (step @p53 :rule cong :premises (@p52 @p33 @p32) :args (@t52)) % 2.32/2.57 (step @p54 :rule trans :premises (@p53 @p31)) % 2.32/2.57 (step @p55 :rule false_elim :premises (@p54)) % 2.32/2.57 (step @p56 :rule cnf_or_pos :args (@t59)) % 2.32/2.57 (step @p57 :rule reordering :premises (@p56) :args ((or @t48 @t52 @t58 @t56 @t54 (not @t59)))) % 2.32/2.57 (step @p58 :rule chain_m_resolution :premises (@p57 @p47 @p55 @p26 @p25 @p24) :args (@t54 (@list false true false false false) (@list @t47 @t52 @t57 @t55 @t59))) % 2.32/2.57 (step @p59 :rule instantiate :premises (@p6) :args ((@list @t60))) % 2.32/2.57 (step @p60 :rule instantiate :premises (@p19) :args (@t41)) % 2.32/2.57 (step @p61 :rule cnf_or_pos :args (@t65)) % 2.32/2.57 (step @p62 :rule factoring :premises (@p61)) % 2.32/2.57 (step @p63 :rule reordering :premises (@p62) :args ((or @t62 @t64 @t56 @t53 @t66))) % 2.32/2.57 (step @p64 :rule chain_m_resolution :premises (@p63 @p60 @p59 @p25 @p58) :args (@t66 (@list false false false true) (@list @t61 @t63 @t55 @t53))) % 2.32/2.57 (assume-push @p73 @t22) % 2.32/2.57 (step @p66 :rule instantiate :premises (@p11) :args ((@list @t60 tptp.x tptp.additive_identity tptp.additive_identity @t39 @t60 tptp.additive_identity))) % 2.32/2.57 (step-pop @p74 :rule scope :premises (@p66)) % 2.32/2.57 (step @p67 :rule process_scope :premises (@p74) :args (@t65)) % 2.32/2.57 (step @p69 :rule implies_elim :premises (@p67)) % 2.32/2.57 (step @p70 false :rule chain_m_resolution :premises (@p69 @p64 @p11) :args (false @t44 (@list @t65 @t22))) % 2.32/2.57 ) % 2.32/2.57 % SZS output end Proof % 2.32/2.57 % cvc5 exiting %------------------------------------------------------------------------------