%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP047-2 : 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 : n022.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 08:19:42 AM UTC 2026 % Result : Unsatisfiable 157.04s 157.97s % Output : Proof 157.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP047-2 : 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 % 0.17/0.34 % Computer : n022.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 00:41:53 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.30/15.53 --- Run --no-e-matching --full-saturate-quant at 6... % 21.31/21.55 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.32/27.57 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.41/33.91 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.72/63.94 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.74/78.96 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.73/112.00 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 111.85/127.15 --- Run --prenex-quant=none --full-saturate-quant at 30... % 156.96/157.18 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 157.04/157.97 % SZS status Unsatisfiable % 157.04/157.97 % SZS output start Proof % 157.04/157.97 ( % 157.04/157.97 (declare-sort $$unsorted 0) % 157.04/157.97 (declare-const tptp.a $$unsorted) % 157.04/157.97 (declare-const tptp.b $$unsorted) % 157.04/157.97 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 157.04/157.97 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 157.04/157.97 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 157.04/157.97 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 157.04/157.97 (declare-const tptp.c $$unsorted) % 157.04/157.97 (declare-const tptp.identity $$unsorted) % 157.04/157.97 (define @t1 () (@var "X" $$unsorted)) % 157.04/157.97 (define @t2 () (@list @t1)) % 157.04/157.97 (define @t3 () (@var "Y" $$unsorted)) % 157.04/157.97 (define @t4 () (@var "W" $$unsorted)) % 157.04/157.97 (define @t5 () (@var "Z" $$unsorted)) % 157.04/157.97 (define @t6 () (@var "V" $$unsorted)) % 157.04/157.97 (define @t7 () (tptp.product @t1 @t6 @t4)) % 157.04/157.97 (define @t8 () (@var "U" $$unsorted)) % 157.04/157.97 (define @t9 () (tptp.product @t8 @t5 @t4)) % 157.04/157.97 (define @t10 () (not (tptp.product @t3 @t5 @t6))) % 157.04/157.97 (define @t11 () (not (tptp.product @t1 @t3 @t8))) % 157.04/157.97 (define @t12 () (@list @t1 @t3 @t8 @t5 @t6 @t4)) % 157.04/157.97 (define @t13 () (tptp.equalish tptp.a tptp.b)) % 157.04/157.97 (define @t14 () (tptp.multiply tptp.c tptp.b)) % 157.04/157.97 (define @t15 () (tptp.multiply tptp.c tptp.a)) % 157.04/157.97 (define @t16 () (tptp.equalish @t15 @t14)) % 157.04/157.97 (define @t17 () (tptp.product tptp.c tptp.a @t14)) % 157.04/157.97 (define @t18 () (not @t17)) % 157.04/157.97 (define @t19 () (tptp.product tptp.c tptp.a @t15)) % 157.04/157.97 (define @t20 () (not @t19)) % 157.04/157.97 (define @t21 () (or @t20 @t18 @t16)) % 157.04/157.97 (define @t22 () (@list tptp.a)) % 157.04/157.97 (define @t23 () (tptp.product tptp.identity tptp.a tptp.b)) % 157.04/157.97 (define @t24 () (tptp.product tptp.identity tptp.a tptp.a)) % 157.04/157.97 (define @t25 () (not @t24)) % 157.04/157.97 (define @t26 () (not @t13)) % 157.04/157.97 (define @t27 () (or @t26 @t25 @t23)) % 157.04/157.97 (define @t28 () (@list false false false)) % 157.04/157.97 (define @t29 () (tptp.inverse tptp.a)) % 157.04/157.97 (define @t30 () (tptp.inverse @t29)) % 157.04/157.97 (define @t31 () (@list @t29)) % 157.04/157.97 (define @t32 () (tptp.product @t30 tptp.identity tptp.a)) % 157.04/157.97 (define @t33 () (tptp.product @t29 tptp.a tptp.identity)) % 157.04/157.97 (define @t34 () (not @t33)) % 157.04/157.97 (define @t35 () (tptp.product @t30 @t29 tptp.identity)) % 157.04/157.97 (define @t36 () (not @t35)) % 157.04/157.97 (define @t37 () (or @t36 @t34 @t25 @t32)) % 157.04/157.97 (define @t38 () (@list false false false false)) % 157.04/157.97 (define @t39 () (tptp.product tptp.a @t29 tptp.identity)) % 157.04/157.97 (define @t40 () (tptp.product tptp.identity @t29 @t29)) % 157.04/157.97 (define @t41 () (not @t40)) % 157.04/157.97 (define @t42 () (not @t32)) % 157.04/157.97 (define @t43 () (or @t42 @t41 @t36 @t39)) % 157.04/157.97 (define @t44 () (tptp.product tptp.a tptp.identity tptp.a)) % 157.04/157.97 (define @t45 () (not @t39)) % 157.04/157.97 (define @t46 () (or @t45 @t34 @t25 @t44)) % 157.04/157.97 (define @t47 () (tptp.product tptp.b tptp.identity tptp.a)) % 157.04/157.97 (define @t48 () (not @t44)) % 157.04/157.97 (define @t49 () (not @t23)) % 157.04/157.97 (define @t50 () (or @t49 @t48 @t25 @t47)) % 157.04/157.97 (define @t51 () (tptp.product tptp.b tptp.identity tptp.b)) % 157.04/157.97 (define @t52 () (or @t49 @t48 @t49 @t51)) % 157.04/157.97 (define @t53 () (tptp.product @t14 tptp.identity @t14)) % 157.04/157.97 (define @t54 () (tptp.product tptp.c tptp.b @t14)) % 157.04/157.97 (define @t55 () (not @t54)) % 157.04/157.97 (define @t56 () (not @t51)) % 157.04/157.97 (define @t57 () (or @t55 @t56 @t55 @t53)) % 157.04/157.97 (define @t58 () (not @t53)) % 157.04/157.97 (define @t59 () (not @t47)) % 157.04/157.97 (define @t60 () (or @t55 @t59 @t58 @t17)) % 157.04/157.97 (assume @p1 (forall @t2 (tptp.product tptp.identity @t1 @t1))) % 157.04/157.97 (assume @p2 (forall @t2 (tptp.product (tptp.inverse @t1) @t1 tptp.identity))) % 157.04/157.97 (assume @p3 (forall (@list @t1 @t3) (tptp.product @t1 @t3 (tptp.multiply @t1 @t3)))) % 157.04/157.97 (assume @p4 (forall (@list @t1 @t3 @t5 @t4) (or (not (tptp.product @t1 @t3 @t5)) (not (tptp.product @t1 @t3 @t4)) (tptp.equalish @t5 @t4)))) % 157.04/157.97 (assume @p5 (forall @t12 (or @t11 @t10 (not @t9) @t7))) % 157.04/157.97 (assume @p6 (forall @t12 (or @t11 @t10 (not @t7) @t9))) % 157.04/157.97 (assume @p7 (forall (@list @t1 @t3 @t4 @t5) (or (not (tptp.equalish @t1 @t3)) (not (tptp.product @t4 @t5 @t1)) (tptp.product @t4 @t5 @t3)))) % 157.04/157.97 (assume @p8 @t13) % 157.04/157.97 (assume @p9 (not @t16)) % 157.04/157.97 (step @p10 :rule instantiate :premises (@p3) :args ((@list tptp.c tptp.b))) % 157.04/157.97 (step @p11 :rule instantiate :premises (@p4) :args ((@list tptp.c tptp.a @t15 @t14))) % 157.04/157.97 (step @p12 :rule instantiate :premises (@p3) :args ((@list tptp.c tptp.a))) % 157.04/157.97 (step @p13 :rule cnf_or_pos :args (@t21)) % 157.04/157.97 (step @p14 :rule reordering :premises (@p13) :args ((or @t16 @t20 @t18 (not @t21)))) % 157.04/157.97 (step @p15 :rule chain_m_resolution :premises (@p14 @p9 @p12 @p11) :args (@t18 (@list true false false) (@list @t16 @t19 @t21))) % 157.04/157.97 (step @p16 :rule instantiate :premises (@p6) :args ((@list tptp.identity tptp.a tptp.b tptp.identity tptp.a tptp.a))) % 157.04/157.97 (step @p17 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b tptp.identity tptp.a))) % 157.04/157.97 (step @p18 :rule instantiate :premises (@p1) :args (@t22)) % 157.04/157.97 (step @p19 :rule cnf_or_pos :args (@t27)) % 157.04/157.97 (step @p20 :rule reordering :premises (@p19) :args ((or @t26 @t25 @t23 (not @t27)))) % 157.04/157.97 (step @p21 :rule chain_m_resolution :premises (@p20 @p8 @p18 @p17) :args (@t23 @t28 (@list @t13 @t24 @t27))) % 157.04/157.97 (step @p22 :rule instantiate :premises (@p5) :args ((@list tptp.a @t29 tptp.identity tptp.a tptp.identity tptp.a))) % 157.04/157.97 (step @p23 :rule instantiate :premises (@p6) :args ((@list @t30 tptp.identity tptp.a @t29 @t29 tptp.identity))) % 157.04/157.97 (step @p24 :rule instantiate :premises (@p5) :args ((@list @t30 @t29 tptp.identity tptp.a tptp.identity tptp.a))) % 157.04/157.97 (step @p25 :rule instantiate :premises (@p2) :args (@t31)) % 157.04/157.97 (step @p26 :rule instantiate :premises (@p2) :args (@t22)) % 157.04/157.97 (step @p27 :rule cnf_or_pos :args (@t37)) % 157.04/157.97 (step @p28 :rule reordering :premises (@p27) :args ((or @t25 @t34 @t36 @t32 (not @t37)))) % 157.04/157.97 (step @p29 :rule chain_m_resolution :premises (@p28 @p18 @p26 @p25 @p24) :args (@t32 @t38 (@list @t24 @t33 @t35 @t37))) % 157.04/157.97 (step @p30 :rule instantiate :premises (@p1) :args (@t31)) % 157.04/157.97 (step @p31 :rule cnf_or_pos :args (@t43)) % 157.04/157.97 (step @p32 :rule reordering :premises (@p31) :args ((or @t39 @t41 @t36 @t42 (not @t43)))) % 157.04/157.97 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p25 @p29 @p23) :args (@t39 @t38 (@list @t40 @t35 @t32 @t43))) % 157.04/157.97 (step @p34 :rule cnf_or_pos :args (@t46)) % 157.04/157.97 (step @p35 :rule reordering :premises (@p34) :args ((or @t25 @t34 @t44 @t45 (not @t46)))) % 157.04/157.97 (step @p36 :rule chain_m_resolution :premises (@p35 @p18 @p26 @p33 @p22) :args (@t44 @t38 (@list @t24 @t33 @t39 @t46))) % 157.04/157.97 (step @p37 :rule cnf_or_pos :args (@t50)) % 157.04/157.97 (step @p38 :rule reordering :premises (@p37) :args ((or @t25 @t48 @t49 @t47 (not @t50)))) % 157.04/157.97 (step @p39 :rule chain_m_resolution :premises (@p38 @p18 @p36 @p21 @p16) :args (@t47 @t38 (@list @t24 @t44 @t23 @t50))) % 157.04/157.97 (step @p40 :rule instantiate :premises (@p5) :args ((@list tptp.c tptp.b @t14 tptp.identity tptp.a @t14))) % 157.04/157.97 (step @p41 :rule instantiate :premises (@p6) :args ((@list tptp.c tptp.b @t14 tptp.identity tptp.b @t14))) % 157.04/157.97 (step @p42 :rule instantiate :premises (@p6) :args ((@list tptp.identity tptp.a tptp.b tptp.identity tptp.a tptp.b))) % 157.04/157.97 (step @p43 :rule cnf_or_pos :args (@t52)) % 157.04/157.97 (step @p44 :rule factoring :premises (@p43)) % 157.04/157.97 (step @p45 :rule reordering :premises (@p44) :args ((or @t48 @t49 @t51 (not @t52)))) % 157.04/157.97 (step @p46 :rule chain_m_resolution :premises (@p45 @p36 @p21 @p42) :args (@t51 @t28 (@list @t44 @t23 @t52))) % 157.04/157.97 (step @p47 :rule cnf_or_pos :args (@t57)) % 157.04/157.97 (step @p48 :rule factoring :premises (@p47)) % 157.04/157.97 (step @p49 :rule reordering :premises (@p48) :args ((or @t55 @t56 @t53 (not @t57)))) % 157.04/157.97 (step @p50 :rule chain_m_resolution :premises (@p49 @p10 @p46 @p41) :args (@t53 @t28 (@list @t54 @t51 @t57))) % 157.04/157.97 (step @p51 :rule cnf_or_pos :args (@t60)) % 157.04/157.97 (step @p52 :rule reordering :premises (@p51) :args ((or @t55 @t17 @t59 @t58 (not @t60)))) % 157.04/157.97 (step @p53 false :rule chain_m_resolution :premises (@p52 @p50 @p40 @p39 @p15 @p10) :args (false (@list false false false true false) (@list @t53 @t60 @t47 @t17 @t54))) % 157.04/157.97 ) % 157.04/157.98 % SZS output end Proof % 157.04/157.98 % cvc5 exiting %------------------------------------------------------------------------------