%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO003-1 : 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 : 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 08:08:59 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.65s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : BOO003-1 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n028.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 02:34:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.65 % SZS status Unsatisfiable % 0.37/0.65 % SZS output start Proof % 0.37/0.65 ( % 0.37/0.65 (declare-sort $$unsorted 0) % 0.37/0.65 (declare-const tptp.x $$unsorted) % 0.37/0.65 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.multiplicative_identity $$unsorted) % 0.37/0.65 (declare-const tptp.additive_identity $$unsorted) % 0.37/0.65 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.65 (define @t1 () (@var "Y" $$unsorted)) % 0.37/0.65 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.65 (define @t3 () (@list @t2 @t1)) % 0.37/0.65 (define @t4 () (@var "Z" $$unsorted)) % 0.37/0.65 (define @t5 () (@list @t2 @t1 @t4)) % 0.37/0.65 (define @t6 () (@list @t2)) % 0.37/0.65 (define @t7 () (@var "V4" $$unsorted)) % 0.37/0.65 (define @t8 () (@var "V2" $$unsorted)) % 0.37/0.65 (define @t9 () (@var "V1" $$unsorted)) % 0.37/0.65 (define @t10 () (tptp.sum @t9 @t8 @t7)) % 0.37/0.65 (define @t11 () (@var "V3" $$unsorted)) % 0.37/0.65 (define @t12 () (tptp.product @t2 @t11 @t7)) % 0.37/0.65 (define @t13 () (not (tptp.sum @t1 @t4 @t11))) % 0.37/0.65 (define @t14 () (not (tptp.product @t2 @t4 @t8))) % 0.37/0.65 (define @t15 () (not (tptp.product @t2 @t1 @t9))) % 0.37/0.65 (define @t16 () (@list @t2 @t1 @t9 @t4 @t8 @t11 @t7)) % 0.37/0.65 (define @t17 () (not @t10)) % 0.37/0.65 (define @t18 () (tptp.product @t11 @t2 @t7)) % 0.37/0.65 (define @t19 () (not (tptp.product @t4 @t2 @t8))) % 0.37/0.65 (define @t20 () (not (tptp.product @t1 @t2 @t9))) % 0.37/0.65 (define @t21 () (@list @t1 @t2 @t9 @t4 @t8 @t11 @t7)) % 0.37/0.65 (define @t22 () (tptp.product @t9 @t8 @t7)) % 0.37/0.65 (define @t23 () (tptp.sum @t2 @t11 @t7)) % 0.37/0.65 (define @t24 () (not (tptp.product @t1 @t4 @t11))) % 0.37/0.65 (define @t25 () (not (tptp.sum @t2 @t4 @t8))) % 0.37/0.65 (define @t26 () (not (tptp.sum @t2 @t1 @t9))) % 0.37/0.65 (define @t27 () (not @t22)) % 0.37/0.65 (define @t28 () (tptp.sum @t11 @t2 @t7)) % 0.37/0.65 (define @t29 () (not (tptp.sum @t4 @t2 @t8))) % 0.37/0.65 (define @t30 () (not (tptp.sum @t1 @t2 @t9))) % 0.37/0.65 (define @t31 () (tptp.inverse @t2)) % 0.37/0.65 (define @t32 () (@var "V" $$unsorted)) % 0.37/0.65 (define @t33 () (@var "U" $$unsorted)) % 0.37/0.65 (define @t34 () (= @t33 @t32)) % 0.37/0.65 (define @t35 () (@list @t2 @t1 @t33 @t32)) % 0.37/0.65 (define @t36 () (tptp.product tptp.x tptp.x tptp.x)) % 0.37/0.65 (define @t37 () (tptp.multiply tptp.additive_identity tptp.additive_identity)) % 0.37/0.65 (define @t38 () (not (tptp.sum tptp.x @t37 tptp.x))) % 0.37/0.65 (define @t39 () (tptp.product tptp.additive_identity tptp.additive_identity @t37)) % 0.37/0.65 (define @t40 () (not @t39)) % 0.37/0.65 (define @t41 () (tptp.sum tptp.x tptp.additive_identity tptp.x)) % 0.37/0.65 (define @t42 () (not @t41)) % 0.37/0.65 (define @t43 () (or @t42 @t42 @t40 @t38 @t36)) % 0.37/0.65 (define @t44 () (tptp.inverse tptp.additive_identity)) % 0.37/0.65 (define @t45 () (@list tptp.additive_identity)) % 0.37/0.65 (define @t46 () (tptp.sum tptp.additive_identity @t37 @t37)) % 0.37/0.65 (define @t47 () (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity)) % 0.37/0.65 (define @t48 () (not @t47)) % 0.37/0.65 (define @t49 () (or @t48 @t48 @t40 @t40 @t46)) % 0.37/0.65 (define @t50 () (@list false false false)) % 0.37/0.65 (define @t51 () (tptp.product tptp.multiplicative_identity tptp.additive_identity @t37)) % 0.37/0.65 (define @t52 () (not @t46)) % 0.37/0.65 (define @t53 () (tptp.sum @t44 tptp.additive_identity tptp.multiplicative_identity)) % 0.37/0.65 (define @t54 () (not @t53)) % 0.37/0.65 (define @t55 () (tptp.product @t44 tptp.additive_identity tptp.additive_identity)) % 0.37/0.65 (define @t56 () (not @t55)) % 0.37/0.65 (define @t57 () (or @t56 @t40 @t54 @t52 @t51)) % 0.37/0.65 (define @t58 () (= tptp.additive_identity @t37)) % 0.37/0.65 (define @t59 () (not @t51)) % 0.37/0.65 (define @t60 () (tptp.product tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity)) % 0.37/0.65 (define @t61 () (not @t60)) % 0.37/0.65 (define @t62 () (or @t61 @t59 @t58)) % 0.37/0.65 (assume @p1 (forall @t3 (tptp.sum @t2 @t1 (tptp.add @t2 @t1)))) % 0.37/0.65 (assume @p2 (forall @t3 (tptp.product @t2 @t1 (tptp.multiply @t2 @t1)))) % 0.37/0.65 (assume @p3 (forall @t5 (or (not (tptp.sum @t2 @t1 @t4)) (tptp.sum @t1 @t2 @t4)))) % 0.37/0.65 (assume @p4 (forall @t5 (or (not (tptp.product @t2 @t1 @t4)) (tptp.product @t1 @t2 @t4)))) % 0.37/0.65 (assume @p5 (forall @t6 (tptp.sum tptp.additive_identity @t2 @t2))) % 0.37/0.65 (assume @p6 (forall @t6 (tptp.sum @t2 tptp.additive_identity @t2))) % 0.37/0.65 (assume @p7 (forall @t6 (tptp.product tptp.multiplicative_identity @t2 @t2))) % 0.37/0.65 (assume @p8 (forall @t6 (tptp.product @t2 tptp.multiplicative_identity @t2))) % 0.37/0.65 (assume @p9 (forall @t16 (or @t15 @t14 @t13 (not @t12) @t10))) % 0.37/0.65 (assume @p10 (forall @t16 (or @t15 @t14 @t13 @t17 @t12))) % 0.37/0.65 (assume @p11 (forall @t21 (or @t20 @t19 @t13 (not @t18) @t10))) % 0.37/0.65 (assume @p12 (forall @t21 (or @t20 @t19 @t13 @t17 @t18))) % 0.37/0.65 (assume @p13 (forall @t16 (or @t26 @t25 @t24 (not @t23) @t22))) % 0.37/0.65 (assume @p14 (forall @t16 (or @t26 @t25 @t24 @t27 @t23))) % 0.37/0.65 (assume @p15 (forall @t21 (or @t30 @t29 @t24 (not @t28) @t22))) % 0.37/0.65 (assume @p16 (forall @t21 (or @t30 @t29 @t24 @t27 @t28))) % 0.37/0.65 (assume @p17 (forall @t6 (tptp.sum @t31 @t2 tptp.multiplicative_identity))) % 0.37/0.65 (assume @p18 (forall @t6 (tptp.sum @t2 @t31 tptp.multiplicative_identity))) % 0.37/0.65 (assume @p19 (forall @t6 (tptp.product @t31 @t2 tptp.additive_identity))) % 0.37/0.65 (assume @p20 (forall @t6 (tptp.product @t2 @t31 tptp.additive_identity))) % 0.37/0.65 (assume @p21 (forall @t35 (or (not (tptp.sum @t2 @t1 @t33)) (not (tptp.sum @t2 @t1 @t32)) @t34))) % 0.37/0.65 (assume @p22 (forall @t35 (or (not (tptp.product @t2 @t1 @t33)) (not (tptp.product @t2 @t1 @t32)) @t34))) % 0.37/0.65 (assume @p23 (not @t36)) % 0.37/0.65 (step @p24 :rule evaluate :args ((= true false))) % 0.37/0.65 (step @p25 :rule instantiate :premises (@p13) :args ((@list tptp.x tptp.additive_identity tptp.x tptp.additive_identity tptp.x @t37 tptp.x))) % 0.37/0.65 (step @p26 :rule instantiate :premises (@p6) :args ((@list tptp.x))) % 0.37/0.65 (step @p27 :rule instantiate :premises (@p2) :args ((@list tptp.additive_identity tptp.additive_identity))) % 0.37/0.65 (step @p28 :rule cnf_or_pos :args (@t43)) % 0.37/0.65 (step @p29 :rule factoring :premises (@p28)) % 0.37/0.65 (step @p30 :rule reordering :premises (@p29) :args ((or @t36 @t40 @t42 @t38 (not @t43)))) % 0.37/0.65 (step @p31 :rule chain_m_resolution :premises (@p30 @p23 @p27 @p26 @p25) :args (@t38 (@list true false false false) (@list @t36 @t39 @t41 @t43))) % 0.37/0.65 (step @p32 :rule false_intro :premises (@p31)) % 0.37/0.65 (step @p33 :rule refl :args (tptp.x)) % 0.37/0.65 (step @p34 :rule instantiate :premises (@p22) :args ((@list tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity @t37))) % 0.37/0.65 (step @p35 :rule instantiate :premises (@p12) :args ((@list @t44 tptp.additive_identity tptp.additive_identity tptp.additive_identity @t37 tptp.multiplicative_identity @t37))) % 0.37/0.65 (step @p36 :rule instantiate :premises (@p14) :args ((@list tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.additive_identity @t37 @t37))) % 0.37/0.65 (step @p37 :rule instantiate :premises (@p5) :args (@t45)) % 0.37/0.65 (step @p38 :rule cnf_or_pos :args (@t49)) % 0.37/0.65 (step @p39 :rule factoring :premises (@p38)) % 0.37/0.65 (step @p40 :rule reordering :premises (@p39) :args ((or @t48 @t40 @t46 (not @t49)))) % 0.37/0.65 (step @p41 :rule chain_m_resolution :premises (@p40 @p37 @p27 @p36) :args (@t46 @t50 (@list @t47 @t39 @t49))) % 0.37/0.65 (step @p42 :rule instantiate :premises (@p19) :args (@t45)) % 0.37/0.65 (step @p43 :rule instantiate :premises (@p17) :args (@t45)) % 0.37/0.65 (step @p44 :rule cnf_or_pos :args (@t57)) % 0.37/0.65 (step @p45 :rule reordering :premises (@p44) :args ((or @t40 @t54 @t56 @t52 @t51 (not @t57)))) % 0.37/0.65 (step @p46 :rule chain_m_resolution :premises (@p45 @p27 @p43 @p42 @p41 @p35) :args (@t51 (@list false false false false false) (@list @t39 @t53 @t55 @t46 @t57))) % 0.37/0.65 (step @p47 :rule instantiate :premises (@p7) :args (@t45)) % 0.37/0.65 (step @p48 :rule cnf_or_pos :args (@t62)) % 0.37/0.65 (step @p49 :rule reordering :premises (@p48) :args ((or @t61 @t59 @t58 (not @t62)))) % 0.37/0.65 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p46 @p34) :args (@t58 @t50 (@list @t60 @t51 @t62))) % 0.37/0.65 (step @p51 :rule cong :premises (@p33 @p50 @p33) :args (@t41)) % 0.37/0.65 (step @p52 :rule true_intro :premises (@p26)) % 0.37/0.65 (step @p53 :rule symm :premises (@p52)) % 0.37/0.65 (step @p54 :rule trans :premises (@p53 @p51 @p32)) % 0.37/0.65 (step @p55 false :rule eq_resolve :premises (@p54 @p24)) % 0.37/0.65 ) % 0.37/0.66 % SZS output end Proof % 0.37/0.66 % cvc5 exiting %------------------------------------------------------------------------------