%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP012-3 : 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 : n010.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 08:19:35 AM UTC 2026 % Result : Unsatisfiable 9.94s 10.18s % Output : Proof 9.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP012-3 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n010.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 00:39:55 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 9.94/10.18 % SZS status Unsatisfiable % 9.94/10.18 % SZS output start Proof % 9.94/10.18 ( % 9.94/10.18 (declare-sort $$unsorted 0) % 9.94/10.18 (declare-const tptp.a $$unsorted) % 9.94/10.18 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 9.94/10.18 (declare-const tptp.b $$unsorted) % 9.94/10.18 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 9.94/10.18 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 9.94/10.18 (declare-const tptp.identity $$unsorted) % 9.94/10.18 (define @t1 () (@var "X" $$unsorted)) % 9.94/10.18 (define @t2 () (@list @t1)) % 9.94/10.18 (define @t3 () (tptp.inverse @t1)) % 9.94/10.18 (define @t4 () (@var "Y" $$unsorted)) % 9.94/10.18 (define @t5 () (@var "W" $$unsorted)) % 9.94/10.18 (define @t6 () (@var "Z" $$unsorted)) % 9.94/10.18 (define @t7 () (forall (@list @t1 @t4 @t6 @t5) (or (not (tptp.product @t1 @t4 @t6)) (not (tptp.product @t1 @t4 @t5)) (= @t6 @t5)))) % 9.94/10.18 (define @t8 () (@var "V" $$unsorted)) % 9.94/10.18 (define @t9 () (tptp.product @t1 @t8 @t5)) % 9.94/10.18 (define @t10 () (@var "U" $$unsorted)) % 9.94/10.18 (define @t11 () (tptp.product @t10 @t6 @t5)) % 9.94/10.18 (define @t12 () (not (tptp.product @t4 @t6 @t8))) % 9.94/10.18 (define @t13 () (not (tptp.product @t1 @t4 @t10))) % 9.94/10.18 (define @t14 () (@list @t1 @t4 @t10 @t6 @t8 @t5)) % 9.94/10.18 (define @t15 () (tptp.inverse tptp.a)) % 9.94/10.18 (define @t16 () (tptp.inverse tptp.b)) % 9.94/10.18 (define @t17 () (tptp.multiply @t16 @t15)) % 9.94/10.18 (define @t18 () (tptp.multiply tptp.a tptp.b)) % 9.94/10.18 (define @t19 () (tptp.inverse @t18)) % 9.94/10.18 (define @t20 () (= @t19 @t17)) % 9.94/10.18 (define @t21 () (@list tptp.a)) % 9.94/10.18 (define @t22 () (tptp.product @t18 @t16 tptp.a)) % 9.94/10.18 (define @t23 () (tptp.product tptp.a tptp.identity tptp.a)) % 9.94/10.18 (define @t24 () (not @t23)) % 9.94/10.18 (define @t25 () (tptp.product tptp.b @t16 tptp.identity)) % 9.94/10.18 (define @t26 () (not @t25)) % 9.94/10.18 (define @t27 () (tptp.product tptp.a tptp.b @t18)) % 9.94/10.18 (define @t28 () (not @t27)) % 9.94/10.18 (define @t29 () (or @t28 @t26 @t24 @t22)) % 9.94/10.18 (define @t30 () (@list false false false false)) % 9.94/10.18 (define @t31 () (tptp.product @t18 @t17 tptp.identity)) % 9.94/10.18 (define @t32 () (tptp.product tptp.a @t15 tptp.identity)) % 9.94/10.18 (define @t33 () (not @t32)) % 9.94/10.18 (define @t34 () (tptp.product @t16 @t15 @t17)) % 9.94/10.18 (define @t35 () (not @t34)) % 9.94/10.18 (define @t36 () (not @t22)) % 9.94/10.18 (define @t37 () (or @t36 @t35 @t33 @t31)) % 9.94/10.18 (define @t38 () (tptp.product tptp.identity @t17 @t19)) % 9.94/10.18 (define @t39 () (tptp.product @t19 tptp.identity @t19)) % 9.94/10.18 (define @t40 () (not @t39)) % 9.94/10.18 (define @t41 () (not @t31)) % 9.94/10.18 (define @t42 () (tptp.product @t19 @t18 tptp.identity)) % 9.94/10.18 (define @t43 () (not @t42)) % 9.94/10.18 (define @t44 () (or @t43 @t41 @t40 @t38)) % 9.94/10.18 (define @t45 () (tptp.product @t16 @t15 @t19)) % 9.94/10.18 (define @t46 () (not @t38)) % 9.94/10.18 (define @t47 () (tptp.product tptp.identity @t16 @t16)) % 9.94/10.18 (define @t48 () (not @t47)) % 9.94/10.18 (define @t49 () (or @t48 @t35 @t46 @t45)) % 9.94/10.18 (define @t50 () (not @t45)) % 9.94/10.18 (define @t51 () (or @t35 @t50 @t20)) % 9.94/10.18 (define @t52 () (not @t51)) % 9.94/10.18 (define @t53 () (or @t35 @t50 (= @t17 @t19))) % 9.94/10.18 (assume @p1 (forall @t2 (tptp.product tptp.identity @t1 @t1))) % 9.94/10.18 (assume @p2 (forall @t2 (tptp.product @t1 tptp.identity @t1))) % 9.94/10.18 (assume @p3 (forall @t2 (tptp.product @t3 @t1 tptp.identity))) % 9.94/10.18 (assume @p4 (forall @t2 (tptp.product @t1 @t3 tptp.identity))) % 9.94/10.18 (assume @p5 (forall (@list @t1 @t4) (tptp.product @t1 @t4 (tptp.multiply @t1 @t4)))) % 9.94/10.18 (assume @p6 @t7) % 9.94/10.18 (assume @p7 (forall @t14 (or @t13 @t12 (not @t11) @t9))) % 9.94/10.18 (assume @p8 (forall @t14 (or @t13 @t12 (not @t9) @t11))) % 9.94/10.18 (assume @p9 (not @t20)) % 9.94/10.18 (step @p10 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t16 @t16 @t15 @t17 @t19))) % 9.94/10.18 (step @p11 :rule instantiate :premises (@p1) :args ((@list @t16))) % 9.94/10.18 (step @p12 :rule instantiate :premises (@p8) :args ((@list @t19 @t18 tptp.identity @t17 tptp.identity @t19))) % 9.94/10.18 (step @p13 :rule instantiate :premises (@p2) :args ((@list @t19))) % 9.94/10.18 (step @p14 :rule instantiate :premises (@p7) :args ((@list @t18 @t16 tptp.a @t15 @t17 tptp.identity))) % 9.94/10.18 (step @p15 :rule instantiate :premises (@p8) :args ((@list tptp.a tptp.b @t18 @t16 tptp.identity tptp.a))) % 9.94/10.18 (step @p16 :rule instantiate :premises (@p2) :args (@t21)) % 9.94/10.18 (step @p17 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.b))) % 9.94/10.18 (step @p18 :rule instantiate :premises (@p4) :args ((@list tptp.b))) % 9.94/10.18 (step @p19 :rule cnf_or_pos :args (@t29)) % 9.94/10.18 (step @p20 :rule reordering :premises (@p19) :args ((or @t26 @t28 @t24 @t22 (not @t29)))) % 9.94/10.18 (step @p21 :rule chain_m_resolution :premises (@p20 @p18 @p17 @p16 @p15) :args (@t22 @t30 (@list @t25 @t27 @t23 @t29))) % 9.94/10.18 (step @p22 :rule instantiate :premises (@p5) :args ((@list @t16 @t15))) % 9.94/10.18 (step @p23 :rule instantiate :premises (@p4) :args (@t21)) % 9.94/10.18 (step @p24 :rule cnf_or_pos :args (@t37)) % 9.94/10.18 (step @p25 :rule reordering :premises (@p24) :args ((or @t33 @t35 @t36 @t31 (not @t37)))) % 9.94/10.18 (step @p26 :rule chain_m_resolution :premises (@p25 @p23 @p22 @p21 @p14) :args (@t31 @t30 (@list @t32 @t34 @t22 @t37))) % 9.94/10.18 (step @p27 :rule instantiate :premises (@p3) :args ((@list @t18))) % 9.94/10.18 (step @p28 :rule cnf_or_pos :args (@t44)) % 9.94/10.18 (step @p29 :rule reordering :premises (@p28) :args ((or @t43 @t41 @t40 @t38 (not @t44)))) % 9.94/10.18 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p26 @p13 @p12) :args (@t38 @t30 (@list @t42 @t31 @t39 @t44))) % 9.94/10.18 (step @p31 :rule cnf_or_pos :args (@t49)) % 9.94/10.18 (step @p32 :rule reordering :premises (@p31) :args ((or @t35 @t46 @t48 @t45 (not @t49)))) % 9.94/10.18 (step @p33 :rule chain_m_resolution :premises (@p32 @p22 @p30 @p11 @p10) :args (@t45 @t30 (@list @t34 @t38 @t47 @t49))) % 9.94/10.18 (step @p34 :rule cnf_or_pos :args (@t51)) % 9.94/10.18 (step @p35 :rule reordering :premises (@p34) :args ((or @t20 @t35 @t50 @t52))) % 9.94/10.18 (step @p36 :rule chain_m_resolution :premises (@p35 @p9 @p22 @p33) :args (@t52 (@list true false false) (@list @t20 @t34 @t45))) % 9.94/10.18 (step @p37 :rule eq-symm :args (@t17 @t19)) % 9.94/10.18 (step @p38 :rule refl :args (@t50)) % 9.94/10.18 (step @p39 :rule refl :args (@t35)) % 9.94/10.18 (step @p40 :rule nary_cong :premises (@p39 @p38 @p37) :args (@t53)) % 9.94/10.18 (step @p41 :rule refl :args (@t7)) % 9.94/10.18 (step @p42 :rule cong :premises (@p41 @p40) :args ((=> @t7 @t53))) % 9.94/10.18 (assume-push @p50 @t7) % 9.94/10.18 (step @p44 :rule instantiate :premises (@p6) :args ((@list @t16 @t15 @t17 @t19))) % 9.94/10.18 (step-pop @p51 :rule scope :premises (@p44)) % 9.94/10.18 (step @p45 :rule process_scope :premises (@p51) :args (@t53)) % 9.94/10.18 (step @p47 :rule eq_resolve :premises (@p45 @p42)) % 9.94/10.18 (step @p48 :rule implies_elim :premises (@p47)) % 9.94/10.18 (step @p49 false :rule chain_m_resolution :premises (@p48 @p36 @p6) :args (false (@list true false) (@list @t51 @t7))) % 9.94/10.18 ) % 9.94/10.18 % SZS output end Proof % 9.94/10.18 % cvc5 exiting %------------------------------------------------------------------------------