%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO012-1 : 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 : n012.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 08:09:02 AM UTC 2026 % Result : Unsatisfiable 205.39s 205.64s % Output : Proof 205.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : BOO012-1 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Wed Jun 3 02:38:03 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.09/15.37 --- Run --no-e-matching --full-saturate-quant at 6... % 21.20/21.40 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.19/27.42 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.23/33.61 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.40/63.64 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.40/78.68 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.49/111.73 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 111.54/126.91 --- Run --prenex-quant=none --full-saturate-quant at 30... % 156.69/156.96 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 171.69/172.01 --- Run --relevant-triggers --full-saturate-quant at 30... % 201.80/202.06 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 205.39/205.64 % SZS status Unsatisfiable % 205.39/205.64 % SZS output start Proof % 205.39/205.65 ( % 205.39/205.65 (declare-sort $$unsorted 0) % 205.39/205.65 (declare-const tptp.x $$unsorted) % 205.39/205.65 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 205.39/205.65 (declare-const tptp.multiplicative_identity $$unsorted) % 205.39/205.65 (declare-const tptp.additive_identity $$unsorted) % 205.39/205.65 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 205.39/205.65 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 205.39/205.65 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 205.39/205.65 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 205.39/205.65 (define @t1 () (@var "Y" $$unsorted)) % 205.39/205.65 (define @t2 () (@var "X" $$unsorted)) % 205.39/205.65 (define @t3 () (@list @t2 @t1)) % 205.39/205.65 (define @t4 () (@var "Z" $$unsorted)) % 205.39/205.65 (define @t5 () (@list @t2 @t1 @t4)) % 205.39/205.65 (define @t6 () (@list @t2)) % 205.39/205.65 (define @t7 () (@var "V4" $$unsorted)) % 205.39/205.65 (define @t8 () (@var "V2" $$unsorted)) % 205.39/205.65 (define @t9 () (@var "V1" $$unsorted)) % 205.39/205.65 (define @t10 () (tptp.sum @t9 @t8 @t7)) % 205.39/205.65 (define @t11 () (@var "V3" $$unsorted)) % 205.39/205.65 (define @t12 () (tptp.product @t2 @t11 @t7)) % 205.39/205.65 (define @t13 () (not (tptp.sum @t1 @t4 @t11))) % 205.39/205.65 (define @t14 () (not (tptp.product @t2 @t4 @t8))) % 205.39/205.65 (define @t15 () (not (tptp.product @t2 @t1 @t9))) % 205.39/205.65 (define @t16 () (@list @t2 @t1 @t9 @t4 @t8 @t11 @t7)) % 205.39/205.65 (define @t17 () (not @t10)) % 205.39/205.65 (define @t18 () (tptp.product @t11 @t2 @t7)) % 205.39/205.65 (define @t19 () (not (tptp.product @t4 @t2 @t8))) % 205.39/205.65 (define @t20 () (not (tptp.product @t1 @t2 @t9))) % 205.39/205.65 (define @t21 () (@list @t1 @t2 @t9 @t4 @t8 @t11 @t7)) % 205.39/205.65 (define @t22 () (tptp.product @t9 @t8 @t7)) % 205.39/205.65 (define @t23 () (tptp.sum @t2 @t11 @t7)) % 205.39/205.65 (define @t24 () (not (tptp.product @t1 @t4 @t11))) % 205.39/205.65 (define @t25 () (not (tptp.sum @t2 @t4 @t8))) % 205.39/205.65 (define @t26 () (not (tptp.sum @t2 @t1 @t9))) % 205.39/205.65 (define @t27 () (not @t22)) % 205.39/205.65 (define @t28 () (forall @t16 (or @t26 @t25 @t24 @t27 @t23))) % 205.39/205.65 (define @t29 () (tptp.sum @t11 @t2 @t7)) % 205.39/205.65 (define @t30 () (not (tptp.sum @t4 @t2 @t8))) % 205.39/205.65 (define @t31 () (not (tptp.sum @t1 @t2 @t9))) % 205.39/205.65 (define @t32 () (tptp.inverse @t2)) % 205.39/205.65 (define @t33 () (@var "V" $$unsorted)) % 205.39/205.65 (define @t34 () (@var "U" $$unsorted)) % 205.39/205.65 (define @t35 () (= @t34 @t33)) % 205.39/205.65 (define @t36 () (@list @t2 @t1 @t34 @t33)) % 205.39/205.65 (define @t37 () (tptp.inverse tptp.x)) % 205.39/205.65 (define @t38 () (tptp.inverse @t37)) % 205.39/205.65 (define @t39 () (tptp.add tptp.x @t38)) % 205.39/205.65 (define @t40 () (@list tptp.x)) % 205.39/205.65 (define @t41 () (@list @t37)) % 205.39/205.65 (define @t42 () (tptp.product tptp.multiplicative_identity @t39 @t38)) % 205.39/205.65 (define @t43 () (tptp.sum tptp.additive_identity @t38 @t38)) % 205.39/205.65 (define @t44 () (not @t43)) % 205.39/205.65 (define @t45 () (tptp.product @t37 tptp.x tptp.additive_identity)) % 205.39/205.65 (define @t46 () (not @t45)) % 205.39/205.65 (define @t47 () (tptp.sum tptp.x @t38 @t39)) % 205.39/205.65 (define @t48 () (not @t47)) % 205.39/205.65 (define @t49 () (tptp.sum @t37 @t38 tptp.multiplicative_identity)) % 205.39/205.65 (define @t50 () (not @t49)) % 205.39/205.65 (define @t51 () (or @t50 @t48 @t46 @t44 @t42)) % 205.39/205.65 (define @t52 () (= tptp.x @t38)) % 205.39/205.65 (define @t53 () (tptp.sum tptp.additive_identity tptp.x @t38)) % 205.39/205.65 (define @t54 () (not @t53)) % 205.39/205.65 (define @t55 () (tptp.sum tptp.additive_identity tptp.x tptp.x)) % 205.39/205.65 (define @t56 () (not @t55)) % 205.39/205.65 (define @t57 () (or @t56 @t54 @t52)) % 205.39/205.65 (define @t58 () (tptp.sum tptp.x tptp.additive_identity @t38)) % 205.39/205.65 (define @t59 () (not @t58)) % 205.39/205.65 (define @t60 () (or @t59 @t53)) % 205.39/205.65 (define @t61 () (@list true false)) % 205.39/205.65 (define @t62 () (not @t42)) % 205.39/205.65 (define @t63 () (tptp.product @t37 @t38 tptp.additive_identity)) % 205.39/205.65 (define @t64 () (not @t63)) % 205.39/205.65 (define @t65 () (tptp.sum tptp.x @t37 tptp.multiplicative_identity)) % 205.39/205.65 (define @t66 () (not @t65)) % 205.39/205.65 (define @t67 () (or @t66 @t48 @t64 @t62 @t58)) % 205.39/205.65 (define @t68 () (not @t67)) % 205.39/205.65 (assume @p1 (forall @t3 (tptp.sum @t2 @t1 (tptp.add @t2 @t1)))) % 205.39/205.65 (assume @p2 (forall @t3 (tptp.product @t2 @t1 (tptp.multiply @t2 @t1)))) % 205.39/205.65 (assume @p3 (forall @t5 (or (not (tptp.sum @t2 @t1 @t4)) (tptp.sum @t1 @t2 @t4)))) % 205.39/205.65 (assume @p4 (forall @t5 (or (not (tptp.product @t2 @t1 @t4)) (tptp.product @t1 @t2 @t4)))) % 205.39/205.65 (assume @p5 (forall @t6 (tptp.sum tptp.additive_identity @t2 @t2))) % 205.39/205.65 (assume @p6 (forall @t6 (tptp.sum @t2 tptp.additive_identity @t2))) % 205.39/205.65 (assume @p7 (forall @t6 (tptp.product tptp.multiplicative_identity @t2 @t2))) % 205.39/205.65 (assume @p8 (forall @t6 (tptp.product @t2 tptp.multiplicative_identity @t2))) % 205.39/205.65 (assume @p9 (forall @t16 (or @t15 @t14 @t13 (not @t12) @t10))) % 205.39/205.65 (assume @p10 (forall @t16 (or @t15 @t14 @t13 @t17 @t12))) % 205.39/205.65 (assume @p11 (forall @t21 (or @t20 @t19 @t13 (not @t18) @t10))) % 205.39/205.65 (assume @p12 (forall @t21 (or @t20 @t19 @t13 @t17 @t18))) % 205.39/205.65 (assume @p13 (forall @t16 (or @t26 @t25 @t24 (not @t23) @t22))) % 205.39/205.65 (assume @p14 @t28) % 205.39/205.65 (assume @p15 (forall @t21 (or @t31 @t30 @t24 (not @t29) @t22))) % 205.39/205.65 (assume @p16 (forall @t21 (or @t31 @t30 @t24 @t27 @t29))) % 205.39/205.65 (assume @p17 (forall @t6 (tptp.sum @t32 @t2 tptp.multiplicative_identity))) % 205.39/205.65 (assume @p18 (forall @t6 (tptp.sum @t2 @t32 tptp.multiplicative_identity))) % 205.39/205.65 (assume @p19 (forall @t6 (tptp.product @t32 @t2 tptp.additive_identity))) % 205.39/205.65 (assume @p20 (forall @t6 (tptp.product @t2 @t32 tptp.additive_identity))) % 205.39/205.65 (assume @p21 (forall @t36 (or (not (tptp.sum @t2 @t1 @t34)) (not (tptp.sum @t2 @t1 @t33)) @t35))) % 205.39/205.65 (assume @p22 (forall @t36 (or (not (tptp.product @t2 @t1 @t34)) (not (tptp.product @t2 @t1 @t33)) @t35))) % 205.39/205.65 (assume @p23 (not (= @t38 tptp.x))) % 205.39/205.65 (step @p24 :rule instantiate :premises (@p15) :args ((@list @t37 @t38 tptp.multiplicative_identity tptp.x @t39 tptp.additive_identity @t38))) % 205.39/205.65 (step @p25 :rule instantiate :premises (@p1) :args ((@list tptp.x @t38))) % 205.39/205.65 (step @p26 :rule instantiate :premises (@p5) :args ((@list @t38))) % 205.39/205.65 (step @p27 :rule instantiate :premises (@p19) :args (@t40)) % 205.39/205.65 (step @p28 :rule instantiate :premises (@p18) :args (@t41)) % 205.39/205.65 (step @p29 :rule cnf_or_pos :args (@t51)) % 205.39/205.65 (step @p30 :rule reordering :premises (@p29) :args ((or @t50 @t46 @t44 @t48 @t42 (not @t51)))) % 205.39/205.65 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p27 @p26 @p25 @p24) :args (@t42 (@list false false false false false) (@list @t49 @t45 @t43 @t47 @t51))) % 205.39/205.65 (step @p32 :rule instantiate :premises (@p3) :args ((@list tptp.x tptp.additive_identity @t38))) % 205.39/205.65 (step @p33 :rule instantiate :premises (@p21) :args ((@list tptp.additive_identity tptp.x tptp.x @t38))) % 205.39/205.65 (step @p34 :rule instantiate :premises (@p5) :args (@t40)) % 205.39/205.65 (step @p35 :rule symm :premises (@p23)) % 205.39/205.65 (step @p36 :rule cnf_or_pos :args (@t57)) % 205.39/205.65 (step @p37 :rule reordering :premises (@p36) :args ((or @t52 @t56 @t54 (not @t57)))) % 205.39/205.65 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p34 @p33) :args (@t54 (@list true false false) (@list @t52 @t55 @t57))) % 205.39/205.65 (step @p39 :rule cnf_or_pos :args (@t60)) % 205.39/205.65 (step @p40 :rule reordering :premises (@p39) :args ((or @t59 @t53 (not @t60)))) % 205.39/205.65 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p32) :args (@t59 @t61 (@list @t53 @t60))) % 205.39/205.65 (step @p42 :rule instantiate :premises (@p20) :args (@t41)) % 205.39/205.65 (step @p43 :rule instantiate :premises (@p18) :args (@t40)) % 205.39/205.65 (step @p44 :rule cnf_or_pos :args (@t67)) % 205.39/205.65 (step @p45 :rule reordering :premises (@p44) :args ((or @t66 @t64 @t58 @t48 @t62 @t68))) % 205.39/205.65 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p42 @p41 @p25 @p31) :args (@t68 (@list false false true false false) (@list @t65 @t63 @t58 @t47 @t42))) % 205.39/205.65 (assume-push @p53 @t28) % 205.39/205.65 (step @p48 :rule instantiate :premises (@p14) :args ((@list tptp.x @t37 tptp.multiplicative_identity @t38 @t39 tptp.additive_identity @t38))) % 205.39/205.65 (step-pop @p54 :rule scope :premises (@p48)) % 205.39/205.65 (step @p49 :rule process_scope :premises (@p54) :args (@t67)) % 205.39/205.65 (step @p51 :rule implies_elim :premises (@p49)) % 205.39/205.65 (step @p52 false :rule chain_m_resolution :premises (@p51 @p46 @p14) :args (false @t61 (@list @t67 @t28))) % 205.39/205.65 ) % 205.39/205.65 % SZS output end Proof % 205.39/205.65 % cvc5 exiting %------------------------------------------------------------------------------