%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO009-1 : 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 : n004.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 08:09:01 AM UTC 2026 % Result : Unsatisfiable 24.24s 24.48s % Output : Proof 24.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : BOO009-1 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n004.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 02:36:07 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.32/15.56 --- Run --no-e-matching --full-saturate-quant at 6... % 21.33/21.59 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 24.24/24.48 % SZS status Unsatisfiable % 24.24/24.48 % SZS output start Proof % 24.24/24.48 ( % 24.24/24.48 (declare-sort $$unsorted 0) % 24.24/24.48 (declare-const tptp.y $$unsorted) % 24.24/24.48 (declare-const tptp.x $$unsorted) % 24.24/24.48 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 24.24/24.48 (declare-const tptp.multiplicative_identity $$unsorted) % 24.24/24.48 (declare-const tptp.additive_identity $$unsorted) % 24.24/24.48 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 24.24/24.48 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 24.24/24.48 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 24.24/24.48 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 24.24/24.48 (define @t1 () (@var "Y" $$unsorted)) % 24.24/24.48 (define @t2 () (@var "X" $$unsorted)) % 24.24/24.48 (define @t3 () (@list @t2 @t1)) % 24.24/24.48 (define @t4 () (@var "Z" $$unsorted)) % 24.24/24.48 (define @t5 () (@list @t2 @t1 @t4)) % 24.24/24.48 (define @t6 () (@list @t2)) % 24.24/24.48 (define @t7 () (@var "V4" $$unsorted)) % 24.24/24.48 (define @t8 () (@var "V2" $$unsorted)) % 24.24/24.48 (define @t9 () (@var "V1" $$unsorted)) % 24.24/24.48 (define @t10 () (tptp.sum @t9 @t8 @t7)) % 24.24/24.48 (define @t11 () (@var "V3" $$unsorted)) % 24.24/24.48 (define @t12 () (tptp.product @t2 @t11 @t7)) % 24.24/24.48 (define @t13 () (not (tptp.sum @t1 @t4 @t11))) % 24.24/24.48 (define @t14 () (not (tptp.product @t2 @t4 @t8))) % 24.24/24.48 (define @t15 () (not (tptp.product @t2 @t1 @t9))) % 24.24/24.48 (define @t16 () (@list @t2 @t1 @t9 @t4 @t8 @t11 @t7)) % 24.24/24.48 (define @t17 () (not @t10)) % 24.24/24.48 (define @t18 () (tptp.product @t11 @t2 @t7)) % 24.24/24.48 (define @t19 () (not (tptp.product @t4 @t2 @t8))) % 24.24/24.48 (define @t20 () (not (tptp.product @t1 @t2 @t9))) % 24.24/24.48 (define @t21 () (@list @t1 @t2 @t9 @t4 @t8 @t11 @t7)) % 24.24/24.48 (define @t22 () (tptp.product @t9 @t8 @t7)) % 24.24/24.48 (define @t23 () (tptp.sum @t2 @t11 @t7)) % 24.24/24.48 (define @t24 () (not (tptp.product @t1 @t4 @t11))) % 24.24/24.48 (define @t25 () (not (tptp.sum @t2 @t4 @t8))) % 24.24/24.48 (define @t26 () (not (tptp.sum @t2 @t1 @t9))) % 24.24/24.48 (define @t27 () (forall @t16 (or @t26 @t25 @t24 (not @t23) @t22))) % 24.24/24.48 (define @t28 () (not @t22)) % 24.24/24.48 (define @t29 () (tptp.sum @t11 @t2 @t7)) % 24.24/24.48 (define @t30 () (not (tptp.sum @t4 @t2 @t8))) % 24.24/24.48 (define @t31 () (not (tptp.sum @t1 @t2 @t9))) % 24.24/24.48 (define @t32 () (tptp.inverse @t2)) % 24.24/24.48 (define @t33 () (@var "V" $$unsorted)) % 24.24/24.48 (define @t34 () (@var "U" $$unsorted)) % 24.24/24.48 (define @t35 () (= @t34 @t33)) % 24.24/24.48 (define @t36 () (@list @t2 @t1 @t34 @t33)) % 24.24/24.48 (define @t37 () (tptp.add tptp.x tptp.y)) % 24.24/24.48 (define @t38 () (tptp.product tptp.x @t37 tptp.x)) % 24.24/24.48 (define @t39 () (tptp.multiply tptp.additive_identity tptp.y)) % 24.24/24.48 (define @t40 () (tptp.multiply tptp.additive_identity tptp.additive_identity)) % 24.24/24.48 (define @t41 () (tptp.inverse tptp.y)) % 24.24/24.48 (define @t42 () (@list tptp.y)) % 24.24/24.48 (define @t43 () (tptp.sum tptp.additive_identity @t39 tptp.additive_identity)) % 24.24/24.48 (define @t44 () (tptp.product @t41 tptp.y tptp.additive_identity)) % 24.24/24.48 (define @t45 () (not @t44)) % 24.24/24.48 (define @t46 () (tptp.sum @t41 tptp.additive_identity @t41)) % 24.24/24.48 (define @t47 () (not @t46)) % 24.24/24.48 (define @t48 () (tptp.product tptp.additive_identity tptp.y @t39)) % 24.24/24.48 (define @t49 () (not @t48)) % 24.24/24.48 (define @t50 () (or @t45 @t49 @t47 @t45 @t43)) % 24.24/24.48 (define @t51 () (@list false false false false)) % 24.24/24.48 (define @t52 () (tptp.sum @t40 tptp.additive_identity tptp.additive_identity)) % 24.24/24.48 (define @t53 () (tptp.product tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity)) % 24.24/24.48 (define @t54 () (not @t53)) % 24.24/24.48 (define @t55 () (tptp.sum tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity)) % 24.24/24.48 (define @t56 () (not @t55)) % 24.24/24.48 (define @t57 () (tptp.product tptp.additive_identity tptp.additive_identity @t40)) % 24.24/24.48 (define @t58 () (not @t57)) % 24.24/24.48 (define @t59 () (or @t58 @t54 @t56 @t54 @t52)) % 24.24/24.48 (define @t60 () (= tptp.additive_identity @t40)) % 24.24/24.48 (define @t61 () (tptp.sum @t40 tptp.additive_identity @t40)) % 24.24/24.48 (define @t62 () (not @t61)) % 24.24/24.48 (define @t63 () (not @t52)) % 24.24/24.48 (define @t64 () (or @t63 @t62 @t60)) % 24.24/24.48 (define @t65 () (tptp.sum @t40 @t39 tptp.additive_identity)) % 24.24/24.48 (define @t66 () (tptp.product tptp.additive_identity tptp.y tptp.additive_identity)) % 24.24/24.48 (define @t67 () (not @t65)) % 24.24/24.48 (define @t68 () (tptp.sum tptp.additive_identity tptp.y tptp.y)) % 24.24/24.48 (define @t69 () (not @t68)) % 24.24/24.48 (define @t70 () (or @t58 @t49 @t69 @t67 @t66)) % 24.24/24.48 (define @t71 () (tptp.sum tptp.x tptp.additive_identity tptp.x)) % 24.24/24.48 (define @t72 () (not @t71)) % 24.24/24.48 (define @t73 () (not @t66)) % 24.24/24.48 (define @t74 () (tptp.sum tptp.x tptp.y @t37)) % 24.24/24.48 (define @t75 () (not @t74)) % 24.24/24.48 (define @t76 () (or @t72 @t75 @t73 @t72 @t38)) % 24.24/24.48 (define @t77 () (not @t76)) % 24.24/24.48 (assume @p1 (forall @t3 (tptp.sum @t2 @t1 (tptp.add @t2 @t1)))) % 24.24/24.48 (assume @p2 (forall @t3 (tptp.product @t2 @t1 (tptp.multiply @t2 @t1)))) % 24.24/24.48 (assume @p3 (forall @t5 (or (not (tptp.sum @t2 @t1 @t4)) (tptp.sum @t1 @t2 @t4)))) % 24.24/24.48 (assume @p4 (forall @t5 (or (not (tptp.product @t2 @t1 @t4)) (tptp.product @t1 @t2 @t4)))) % 24.24/24.48 (assume @p5 (forall @t6 (tptp.sum tptp.additive_identity @t2 @t2))) % 24.24/24.48 (assume @p6 (forall @t6 (tptp.sum @t2 tptp.additive_identity @t2))) % 24.24/24.48 (assume @p7 (forall @t6 (tptp.product tptp.multiplicative_identity @t2 @t2))) % 24.24/24.48 (assume @p8 (forall @t6 (tptp.product @t2 tptp.multiplicative_identity @t2))) % 24.24/24.48 (assume @p9 (forall @t16 (or @t15 @t14 @t13 (not @t12) @t10))) % 24.24/24.48 (assume @p10 (forall @t16 (or @t15 @t14 @t13 @t17 @t12))) % 24.24/24.48 (assume @p11 (forall @t21 (or @t20 @t19 @t13 (not @t18) @t10))) % 24.24/24.48 (assume @p12 (forall @t21 (or @t20 @t19 @t13 @t17 @t18))) % 24.24/24.48 (assume @p13 @t27) % 24.24/24.48 (assume @p14 (forall @t16 (or @t26 @t25 @t24 @t28 @t23))) % 24.24/24.48 (assume @p15 (forall @t21 (or @t31 @t30 @t24 (not @t29) @t22))) % 24.24/24.48 (assume @p16 (forall @t21 (or @t31 @t30 @t24 @t28 @t29))) % 24.24/24.48 (assume @p17 (forall @t6 (tptp.sum @t32 @t2 tptp.multiplicative_identity))) % 24.24/24.48 (assume @p18 (forall @t6 (tptp.sum @t2 @t32 tptp.multiplicative_identity))) % 24.24/24.48 (assume @p19 (forall @t6 (tptp.product @t32 @t2 tptp.additive_identity))) % 24.24/24.48 (assume @p20 (forall @t6 (tptp.product @t2 @t32 tptp.additive_identity))) % 24.24/24.48 (assume @p21 (forall @t36 (or (not (tptp.sum @t2 @t1 @t34)) (not (tptp.sum @t2 @t1 @t33)) @t35))) % 24.24/24.48 (assume @p22 (forall @t36 (or (not (tptp.product @t2 @t1 @t34)) (not (tptp.product @t2 @t1 @t33)) @t35))) % 24.24/24.48 (assume @p23 (not @t38)) % 24.24/24.48 (step @p24 :rule instantiate :premises (@p1) :args ((@list tptp.x tptp.y))) % 24.24/24.48 (step @p25 :rule instantiate :premises (@p10) :args ((@list tptp.additive_identity tptp.additive_identity @t40 tptp.y @t39 tptp.y tptp.additive_identity))) % 24.24/24.48 (step @p26 :rule instantiate :premises (@p11) :args ((@list @t41 tptp.y tptp.additive_identity tptp.additive_identity @t39 @t41 tptp.additive_identity))) % 24.24/24.48 (step @p27 :rule instantiate :premises (@p6) :args ((@list @t41))) % 24.24/24.48 (step @p28 :rule instantiate :premises (@p2) :args ((@list tptp.additive_identity tptp.y))) % 24.24/24.48 (step @p29 :rule instantiate :premises (@p19) :args (@t42)) % 24.24/24.48 (step @p30 :rule cnf_or_pos :args (@t50)) % 24.24/24.48 (step @p31 :rule factoring :premises (@p30)) % 24.24/24.48 (step @p32 :rule reordering :premises (@p31) :args ((or @t45 @t49 @t47 @t43 (not @t50)))) % 24.24/24.48 (step @p33 :rule chain_m_resolution :premises (@p32 @p29 @p28 @p27 @p26) :args (@t43 @t51 (@list @t44 @t48 @t46 @t50))) % 24.24/24.48 (step @p34 :rule true_intro :premises (@p33)) % 24.24/24.48 (step @p35 :rule refl :args (tptp.additive_identity)) % 24.24/24.48 (step @p36 :rule refl :args (@t39)) % 24.24/24.48 (step @p37 :rule instantiate :premises (@p21) :args ((@list @t40 tptp.additive_identity tptp.additive_identity @t40))) % 24.24/24.48 (step @p38 :rule instantiate :premises (@p9) :args ((@list tptp.additive_identity tptp.additive_identity @t40 tptp.multiplicative_identity tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) % 24.24/24.48 (step @p39 :rule instantiate :premises (@p5) :args ((@list tptp.multiplicative_identity))) % 24.24/24.48 (step @p40 :rule instantiate :premises (@p8) :args ((@list tptp.additive_identity))) % 24.24/24.48 (step @p41 :rule instantiate :premises (@p2) :args ((@list tptp.additive_identity tptp.additive_identity))) % 24.24/24.48 (step @p42 :rule cnf_or_pos :args (@t59)) % 24.24/24.48 (step @p43 :rule factoring :premises (@p42)) % 24.24/24.48 (step @p44 :rule reordering :premises (@p43) :args ((or @t58 @t54 @t56 @t52 (not @t59)))) % 24.24/24.48 (step @p45 :rule chain_m_resolution :premises (@p44 @p41 @p40 @p39 @p38) :args (@t52 @t51 (@list @t57 @t53 @t55 @t59))) % 24.24/24.48 (step @p46 :rule instantiate :premises (@p6) :args ((@list @t40))) % 24.24/24.48 (step @p47 :rule cnf_or_pos :args (@t64)) % 24.24/24.48 (step @p48 :rule reordering :premises (@p47) :args ((or @t62 @t60 @t63 (not @t64)))) % 24.24/24.48 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p45 @p37) :args (@t60 (@list false false false) (@list @t61 @t52 @t64))) % 24.24/24.48 (step @p50 :rule symm :premises (@p49)) % 24.24/24.48 (step @p51 :rule cong :premises (@p50 @p36 @p35) :args (@t65)) % 24.24/24.48 (step @p52 :rule trans :premises (@p51 @p34)) % 24.24/24.48 (step @p53 :rule true_elim :premises (@p52)) % 24.24/24.48 (step @p54 :rule instantiate :premises (@p5) :args (@t42)) % 24.24/24.48 (step @p55 :rule cnf_or_pos :args (@t70)) % 24.24/24.48 (step @p56 :rule reordering :premises (@p55) :args ((or @t58 @t69 @t66 @t49 @t67 (not @t70)))) % 24.24/24.48 (step @p57 :rule chain_m_resolution :premises (@p56 @p41 @p54 @p28 @p53 @p25) :args (@t66 (@list false false false false false) (@list @t57 @t68 @t48 @t65 @t70))) % 24.24/24.48 (step @p58 :rule instantiate :premises (@p6) :args ((@list tptp.x))) % 24.24/24.48 (step @p59 :rule cnf_or_pos :args (@t76)) % 24.24/24.48 (step @p60 :rule factoring :premises (@p59)) % 24.24/24.48 (step @p61 :rule reordering :premises (@p60) :args ((or @t38 @t72 @t73 @t75 @t77))) % 24.24/24.48 (step @p62 :rule chain_m_resolution :premises (@p61 @p23 @p58 @p57 @p24) :args (@t77 (@list true false false false) (@list @t38 @t71 @t66 @t74))) % 24.24/24.48 (assume-push @p69 @t27) % 24.24/24.48 (step @p64 :rule instantiate :premises (@p13) :args ((@list tptp.x tptp.additive_identity tptp.x tptp.y @t37 tptp.additive_identity tptp.x))) % 24.24/24.48 (step-pop @p70 :rule scope :premises (@p64)) % 24.24/24.48 (step @p65 :rule process_scope :premises (@p70) :args (@t76)) % 24.24/24.48 (step @p67 :rule implies_elim :premises (@p65)) % 24.24/24.48 (step @p68 false :rule chain_m_resolution :premises (@p67 @p62 @p13) :args (false (@list true false) (@list @t76 @t27))) % 24.24/24.48 ) % 24.24/24.48 % SZS output end Proof % 24.24/24.48 % cvc5 exiting %------------------------------------------------------------------------------