%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO013-3 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:09:03 AM UTC 2026 % Result : Unsatisfiable 32.24s 32.44s % Output : Proof 32.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : BOO013-3 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n017.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 02:36:46 EDT 2026 % 0.18/0.35 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.32/15.55 --- Run --no-e-matching --full-saturate-quant at 6... % 21.33/21.58 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.43/27.61 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 32.24/32.44 % SZS status Unsatisfiable % 32.24/32.44 % SZS output start Proof % 32.24/32.44 ( % 32.24/32.44 (declare-sort $$unsorted 0) % 32.24/32.44 (declare-const tptp.x $$unsorted) % 32.24/32.44 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 32.24/32.44 (declare-const tptp.multiplicative_identity $$unsorted) % 32.24/32.44 (declare-const tptp.additive_identity $$unsorted) % 32.24/32.44 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 32.24/32.44 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 32.24/32.44 (declare-const tptp.z $$unsorted) % 32.24/32.44 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 32.24/32.44 (declare-const tptp.y $$unsorted) % 32.24/32.44 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 32.24/32.44 (define @t1 () (@var "Y" $$unsorted)) % 32.24/32.44 (define @t2 () (@var "X" $$unsorted)) % 32.24/32.44 (define @t3 () (@list @t2 @t1)) % 32.24/32.44 (define @t4 () (@var "Z" $$unsorted)) % 32.24/32.44 (define @t5 () (@list @t2 @t1 @t4)) % 32.24/32.44 (define @t6 () (@list @t2)) % 32.24/32.44 (define @t7 () (@var "V4" $$unsorted)) % 32.24/32.44 (define @t8 () (@var "V2" $$unsorted)) % 32.24/32.44 (define @t9 () (@var "V1" $$unsorted)) % 32.24/32.44 (define @t10 () (tptp.sum @t9 @t8 @t7)) % 32.24/32.44 (define @t11 () (@var "V3" $$unsorted)) % 32.24/32.44 (define @t12 () (tptp.product @t2 @t11 @t7)) % 32.24/32.44 (define @t13 () (not (tptp.sum @t1 @t4 @t11))) % 32.24/32.44 (define @t14 () (not (tptp.product @t2 @t4 @t8))) % 32.24/32.44 (define @t15 () (not (tptp.product @t2 @t1 @t9))) % 32.24/32.44 (define @t16 () (@list @t2 @t1 @t9 @t4 @t8 @t11 @t7)) % 32.24/32.44 (define @t17 () (not @t10)) % 32.24/32.44 (define @t18 () (tptp.product @t11 @t2 @t7)) % 32.24/32.44 (define @t19 () (not (tptp.product @t4 @t2 @t8))) % 32.24/32.44 (define @t20 () (not (tptp.product @t1 @t2 @t9))) % 32.24/32.44 (define @t21 () (@list @t1 @t2 @t9 @t4 @t8 @t11 @t7)) % 32.24/32.44 (define @t22 () (tptp.product @t9 @t8 @t7)) % 32.24/32.44 (define @t23 () (tptp.sum @t2 @t11 @t7)) % 32.24/32.44 (define @t24 () (not (tptp.product @t1 @t4 @t11))) % 32.24/32.44 (define @t25 () (not (tptp.sum @t2 @t4 @t8))) % 32.24/32.44 (define @t26 () (not (tptp.sum @t2 @t1 @t9))) % 32.24/32.44 (define @t27 () (not @t22)) % 32.24/32.44 (define @t28 () (tptp.sum @t11 @t2 @t7)) % 32.24/32.44 (define @t29 () (not (tptp.sum @t4 @t2 @t8))) % 32.24/32.44 (define @t30 () (not (tptp.sum @t1 @t2 @t9))) % 32.24/32.44 (define @t31 () (forall @t21 (or @t30 @t29 @t24 (not @t28) @t22))) % 32.24/32.44 (define @t32 () (tptp.inverse @t2)) % 32.24/32.44 (define @t33 () (@var "V" $$unsorted)) % 32.24/32.44 (define @t34 () (@var "U" $$unsorted)) % 32.24/32.44 (define @t35 () (= @t34 @t33)) % 32.24/32.44 (define @t36 () (@list @t2 @t1 @t34 @t33)) % 32.24/32.44 (define @t37 () (forall @t36 (or (not (tptp.product @t2 @t1 @t34)) (not (tptp.product @t2 @t1 @t33)) @t35))) % 32.24/32.44 (define @t38 () (tptp.sum tptp.x tptp.y tptp.multiplicative_identity)) % 32.24/32.44 (define @t39 () (tptp.sum tptp.x tptp.z tptp.multiplicative_identity)) % 32.24/32.44 (define @t40 () (tptp.product tptp.x tptp.y tptp.additive_identity)) % 32.24/32.44 (define @t41 () (tptp.product tptp.x tptp.z tptp.additive_identity)) % 32.24/32.44 (define @t42 () (= tptp.y tptp.z)) % 32.24/32.44 (define @t43 () (tptp.product tptp.multiplicative_identity tptp.z tptp.y)) % 32.24/32.44 (define @t44 () (not @t43)) % 32.24/32.44 (define @t45 () (tptp.product tptp.multiplicative_identity tptp.z tptp.z)) % 32.24/32.44 (define @t46 () (not @t45)) % 32.24/32.44 (define @t47 () (or @t46 @t44 (= tptp.z tptp.y))) % 32.24/32.44 (define @t48 () (or @t46 @t44 @t42)) % 32.24/32.44 (define @t49 () (@list tptp.z)) % 32.24/32.44 (define @t50 () (tptp.add tptp.z tptp.y)) % 32.24/32.44 (define @t51 () (tptp.sum tptp.z tptp.additive_identity tptp.z)) % 32.24/32.44 (define @t52 () (tptp.sum tptp.additive_identity tptp.z tptp.z)) % 32.24/32.44 (define @t53 () (not @t52)) % 32.24/32.44 (define @t54 () (or @t53 @t51)) % 32.24/32.44 (define @t55 () (@list false false)) % 32.24/32.44 (define @t56 () (tptp.sum tptp.z tptp.x tptp.multiplicative_identity)) % 32.24/32.44 (define @t57 () (not @t39)) % 32.24/32.44 (define @t58 () (or @t57 @t56)) % 32.24/32.44 (define @t59 () (tptp.product tptp.multiplicative_identity @t50 tptp.z)) % 32.24/32.44 (define @t60 () (not @t51)) % 32.24/32.44 (define @t61 () (not @t40)) % 32.24/32.44 (define @t62 () (tptp.sum tptp.z tptp.y @t50)) % 32.24/32.44 (define @t63 () (not @t62)) % 32.24/32.44 (define @t64 () (not @t56)) % 32.24/32.44 (define @t65 () (or @t64 @t63 @t61 @t60 @t59)) % 32.24/32.44 (define @t66 () (@list false false false false false)) % 32.24/32.44 (define @t67 () (@list tptp.y)) % 32.24/32.44 (define @t68 () (tptp.sum tptp.z tptp.y tptp.z)) % 32.24/32.44 (define @t69 () (not @t59)) % 32.24/32.44 (define @t70 () (tptp.product tptp.multiplicative_identity tptp.y tptp.y)) % 32.24/32.44 (define @t71 () (not @t70)) % 32.24/32.44 (define @t72 () (or @t46 @t71 @t63 @t69 @t68)) % 32.24/32.44 (define @t73 () (tptp.sum tptp.additive_identity tptp.y tptp.y)) % 32.24/32.44 (define @t74 () (not @t73)) % 32.24/32.44 (define @t75 () (not @t41)) % 32.24/32.44 (define @t76 () (not @t68)) % 32.24/32.44 (define @t77 () (not @t38)) % 32.24/32.44 (define @t78 () (or @t77 @t76 @t75 @t74 @t43)) % 32.24/32.44 (define @t79 () (not @t78)) % 32.24/32.44 (assume @p1 (forall @t3 (tptp.sum @t2 @t1 (tptp.add @t2 @t1)))) % 32.24/32.44 (assume @p2 (forall @t3 (tptp.product @t2 @t1 (tptp.multiply @t2 @t1)))) % 32.24/32.44 (assume @p3 (forall @t5 (or (not (tptp.sum @t2 @t1 @t4)) (tptp.sum @t1 @t2 @t4)))) % 32.24/32.44 (assume @p4 (forall @t5 (or (not (tptp.product @t2 @t1 @t4)) (tptp.product @t1 @t2 @t4)))) % 32.24/32.44 (assume @p5 (forall @t6 (tptp.sum tptp.additive_identity @t2 @t2))) % 32.24/32.44 (assume @p6 (forall @t6 (tptp.sum @t2 tptp.additive_identity @t2))) % 32.24/32.44 (assume @p7 (forall @t6 (tptp.product tptp.multiplicative_identity @t2 @t2))) % 32.24/32.44 (assume @p8 (forall @t6 (tptp.product @t2 tptp.multiplicative_identity @t2))) % 32.24/32.44 (assume @p9 (forall @t16 (or @t15 @t14 @t13 (not @t12) @t10))) % 32.24/32.44 (assume @p10 (forall @t16 (or @t15 @t14 @t13 @t17 @t12))) % 32.24/32.44 (assume @p11 (forall @t21 (or @t20 @t19 @t13 (not @t18) @t10))) % 32.24/32.44 (assume @p12 (forall @t21 (or @t20 @t19 @t13 @t17 @t18))) % 32.24/32.44 (assume @p13 (forall @t16 (or @t26 @t25 @t24 (not @t23) @t22))) % 32.24/32.44 (assume @p14 (forall @t16 (or @t26 @t25 @t24 @t27 @t23))) % 32.24/32.44 (assume @p15 @t31) % 32.24/32.44 (assume @p16 (forall @t21 (or @t30 @t29 @t24 @t27 @t28))) % 32.24/32.44 (assume @p17 (forall @t6 (tptp.sum @t32 @t2 tptp.multiplicative_identity))) % 32.24/32.44 (assume @p18 (forall @t6 (tptp.sum @t2 @t32 tptp.multiplicative_identity))) % 32.24/32.44 (assume @p19 (forall @t6 (tptp.product @t32 @t2 tptp.additive_identity))) % 32.24/32.44 (assume @p20 (forall @t6 (tptp.product @t2 @t32 tptp.additive_identity))) % 32.24/32.44 (assume @p21 (forall @t36 (or (not (tptp.sum @t2 @t1 @t34)) (not (tptp.sum @t2 @t1 @t33)) @t35))) % 32.24/32.44 (assume @p22 @t37) % 32.24/32.44 (assume @p23 (forall @t6 (= (tptp.inverse @t32) @t2))) % 32.24/32.44 (assume @p24 @t38) % 32.24/32.44 (assume @p25 @t39) % 32.24/32.44 (assume @p26 @t40) % 32.24/32.44 (assume @p27 @t41) % 32.24/32.44 (assume @p28 (not @t42)) % 32.24/32.44 (step @p29 :rule eq-symm :args (tptp.z tptp.y)) % 32.24/32.44 (step @p30 :rule refl :args (@t44)) % 32.24/32.44 (step @p31 :rule refl :args (@t46)) % 32.24/32.44 (step @p32 :rule nary_cong :premises (@p31 @p30 @p29) :args (@t47)) % 32.24/32.44 (step @p33 :rule refl :args (@t37)) % 32.24/32.44 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t37 @t47))) % 32.24/32.44 (assume-push @p75 @t37) % 32.24/32.44 (step @p36 :rule instantiate :premises (@p22) :args ((@list tptp.multiplicative_identity tptp.z tptp.z tptp.y))) % 32.24/32.44 (step-pop @p76 :rule scope :premises (@p36)) % 32.24/32.44 (step @p37 :rule process_scope :premises (@p76) :args (@t47)) % 32.24/32.44 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 32.24/32.44 (step @p40 :rule implies_elim :premises (@p39)) % 32.24/32.44 (step @p41 :rule chain_m_resolution :premises (@p40 @p22) :args (@t48 (@list false) (@list @t37))) % 32.24/32.44 (step @p42 :rule instantiate :premises (@p7) :args (@t49)) % 32.24/32.44 (step @p43 :rule cnf_or_pos :args (@t48)) % 32.24/32.44 (step @p44 :rule reordering :premises (@p43) :args ((or @t42 @t46 @t44 (not @t48)))) % 32.24/32.44 (step @p45 :rule chain_m_resolution :premises (@p44 @p28 @p42 @p41) :args (@t44 (@list true false false) (@list @t42 @t45 @t48))) % 32.24/32.44 (step @p46 :rule instantiate :premises (@p9) :args ((@list tptp.multiplicative_identity tptp.z tptp.z tptp.y tptp.y @t50 tptp.z))) % 32.24/32.44 (step @p47 :rule instantiate :premises (@p13) :args ((@list tptp.z tptp.x tptp.multiplicative_identity tptp.y @t50 tptp.additive_identity tptp.z))) % 32.24/32.44 (step @p48 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity tptp.z tptp.z))) % 32.24/32.44 (step @p49 :rule instantiate :premises (@p5) :args (@t49)) % 32.24/32.44 (step @p50 :rule cnf_or_pos :args (@t54)) % 32.24/32.44 (step @p51 :rule reordering :premises (@p50) :args ((or @t53 @t51 (not @t54)))) % 32.24/32.44 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p48) :args (@t51 @t55 (@list @t52 @t54))) % 32.24/32.44 (step @p53 :rule instantiate :premises (@p3) :args ((@list tptp.x tptp.z tptp.multiplicative_identity))) % 32.24/32.44 (step @p54 :rule cnf_or_pos :args (@t58)) % 32.24/32.44 (step @p55 :rule reordering :premises (@p54) :args ((or @t57 @t56 (not @t58)))) % 32.24/32.44 (step @p56 :rule chain_m_resolution :premises (@p55 @p25 @p53) :args (@t56 @t55 (@list @t39 @t58))) % 32.24/32.44 (step @p57 :rule instantiate :premises (@p1) :args ((@list tptp.z tptp.y))) % 32.24/32.44 (step @p58 :rule cnf_or_pos :args (@t65)) % 32.24/32.44 (step @p59 :rule reordering :premises (@p58) :args ((or @t61 @t63 @t64 @t60 @t59 (not @t65)))) % 32.24/32.44 (step @p60 :rule chain_m_resolution :premises (@p59 @p26 @p57 @p56 @p52 @p47) :args (@t59 @t66 (@list @t40 @t62 @t56 @t51 @t65))) % 32.24/32.44 (step @p61 :rule instantiate :premises (@p7) :args (@t67)) % 32.24/32.44 (step @p62 :rule cnf_or_pos :args (@t72)) % 32.24/32.44 (step @p63 :rule reordering :premises (@p62) :args ((or @t46 @t71 @t63 @t68 @t69 (not @t72)))) % 32.24/32.44 (step @p64 :rule chain_m_resolution :premises (@p63 @p42 @p61 @p57 @p60 @p46) :args (@t68 @t66 (@list @t45 @t70 @t62 @t59 @t72))) % 32.24/32.44 (step @p65 :rule instantiate :premises (@p5) :args (@t67)) % 32.24/32.44 (step @p66 :rule cnf_or_pos :args (@t78)) % 32.24/32.44 (step @p67 :rule reordering :premises (@p66) :args ((or @t77 @t75 @t74 @t76 @t43 @t79))) % 32.24/32.44 (step @p68 :rule chain_m_resolution :premises (@p67 @p24 @p27 @p65 @p64 @p45) :args (@t79 (@list false false false false true) (@list @t38 @t41 @t73 @t68 @t43))) % 32.24/32.44 (assume-push @p77 @t31) % 32.24/32.44 (step @p70 :rule instantiate :premises (@p15) :args ((@list tptp.x tptp.y tptp.multiplicative_identity tptp.z tptp.z tptp.additive_identity tptp.y))) % 32.24/32.44 (step-pop @p78 :rule scope :premises (@p70)) % 32.24/32.44 (step @p71 :rule process_scope :premises (@p78) :args (@t78)) % 32.24/32.44 (step @p73 :rule implies_elim :premises (@p71)) % 32.24/32.44 (step @p74 false :rule chain_m_resolution :premises (@p73 @p68 @p15) :args (false (@list true false) (@list @t78 @t31))) % 32.24/32.44 ) % 32.24/32.47 % SZS output end Proof % 32.24/32.47 % cvc5 exiting %------------------------------------------------------------------------------