%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP045-2 : 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 : n024.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 08:19:41 AM UTC 2026 % Result : Unsatisfiable 157.54s 157.85s % Output : Proof 157.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GRP045-2 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Mon Jun 1 19:41:45 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.11/15.36 --- Run --no-e-matching --full-saturate-quant at 6... % 21.09/21.38 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.20/27.41 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.19/33.46 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.27/63.51 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.27/78.53 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.27/111.58 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 126.56/126.85 --- Run --prenex-quant=none --full-saturate-quant at 30... % 156.54/156.89 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 157.54/157.85 % SZS status Unsatisfiable % 157.54/157.85 % SZS output start Proof % 157.54/157.85 ( % 157.54/157.85 (declare-sort $$unsorted 0) % 157.54/157.85 (declare-const tptp.result $$unsorted) % 157.54/157.85 (declare-const tptp.a $$unsorted) % 157.54/157.85 (declare-const tptp.b $$unsorted) % 157.54/157.85 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 157.54/157.85 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 157.54/157.85 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 157.54/157.85 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 157.54/157.85 (declare-const tptp.c $$unsorted) % 157.54/157.85 (declare-const tptp.identity $$unsorted) % 157.54/157.85 (define @t1 () (@var "X" $$unsorted)) % 157.54/157.85 (define @t2 () (@list @t1)) % 157.54/157.85 (define @t3 () (@var "Y" $$unsorted)) % 157.54/157.85 (define @t4 () (@var "W" $$unsorted)) % 157.54/157.85 (define @t5 () (@var "Z" $$unsorted)) % 157.54/157.85 (define @t6 () (@var "V" $$unsorted)) % 157.54/157.85 (define @t7 () (tptp.product @t1 @t6 @t4)) % 157.54/157.85 (define @t8 () (@var "U" $$unsorted)) % 157.54/157.85 (define @t9 () (tptp.product @t8 @t5 @t4)) % 157.54/157.85 (define @t10 () (not (tptp.product @t3 @t5 @t6))) % 157.54/157.85 (define @t11 () (not (tptp.product @t1 @t3 @t8))) % 157.54/157.85 (define @t12 () (@list @t1 @t3 @t8 @t5 @t6 @t4)) % 157.54/157.85 (define @t13 () (tptp.equalish tptp.a tptp.b)) % 157.54/157.85 (define @t14 () (tptp.product tptp.c tptp.a tptp.result)) % 157.54/157.85 (define @t15 () (tptp.product tptp.c tptp.b tptp.result)) % 157.54/157.85 (define @t16 () (tptp.inverse tptp.a)) % 157.54/157.85 (define @t17 () (tptp.inverse @t16)) % 157.54/157.85 (define @t18 () (@list @t16)) % 157.54/157.85 (define @t19 () (@list tptp.a)) % 157.54/157.85 (define @t20 () (tptp.product @t17 tptp.identity tptp.a)) % 157.54/157.85 (define @t21 () (tptp.product tptp.identity tptp.a tptp.a)) % 157.54/157.85 (define @t22 () (not @t21)) % 157.54/157.85 (define @t23 () (tptp.product @t16 tptp.a tptp.identity)) % 157.54/157.85 (define @t24 () (not @t23)) % 157.54/157.85 (define @t25 () (tptp.product @t17 @t16 tptp.identity)) % 157.54/157.85 (define @t26 () (not @t25)) % 157.54/157.85 (define @t27 () (or @t26 @t24 @t22 @t20)) % 157.54/157.85 (define @t28 () (@list false false false false)) % 157.54/157.85 (define @t29 () (tptp.product tptp.a @t16 tptp.identity)) % 157.54/157.85 (define @t30 () (tptp.product tptp.identity @t16 @t16)) % 157.54/157.85 (define @t31 () (not @t30)) % 157.54/157.85 (define @t32 () (not @t20)) % 157.54/157.85 (define @t33 () (or @t32 @t31 @t26 @t29)) % 157.54/157.85 (define @t34 () (tptp.product tptp.identity tptp.a tptp.b)) % 157.54/157.85 (define @t35 () (not @t13)) % 157.54/157.85 (define @t36 () (or @t35 @t22 @t34)) % 157.54/157.85 (define @t37 () (@list false false false)) % 157.54/157.85 (define @t38 () (tptp.product tptp.a tptp.identity tptp.b)) % 157.54/157.85 (define @t39 () (not @t34)) % 157.54/157.85 (define @t40 () (not @t29)) % 157.54/157.85 (define @t41 () (or @t40 @t24 @t39 @t38)) % 157.54/157.85 (define @t42 () (tptp.product tptp.a tptp.identity tptp.a)) % 157.54/157.85 (define @t43 () (or @t40 @t24 @t22 @t42)) % 157.54/157.85 (define @t44 () (tptp.product tptp.result tptp.identity tptp.result)) % 157.54/157.85 (define @t45 () (not @t14)) % 157.54/157.85 (define @t46 () (not @t42)) % 157.54/157.85 (define @t47 () (or @t45 @t46 @t45 @t44)) % 157.54/157.85 (define @t48 () (not @t44)) % 157.54/157.85 (define @t49 () (not @t38)) % 157.54/157.85 (define @t50 () (or @t45 @t49 @t48 @t15)) % 157.54/157.85 (assume @p1 (forall @t2 (tptp.product tptp.identity @t1 @t1))) % 157.54/157.85 (assume @p2 (forall @t2 (tptp.product (tptp.inverse @t1) @t1 tptp.identity))) % 157.54/157.85 (assume @p3 (forall (@list @t1 @t3) (tptp.product @t1 @t3 (tptp.multiply @t1 @t3)))) % 157.54/157.85 (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)))) % 157.54/157.85 (assume @p5 (forall @t12 (or @t11 @t10 (not @t9) @t7))) % 157.54/157.85 (assume @p6 (forall @t12 (or @t11 @t10 (not @t7) @t9))) % 157.54/157.85 (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)))) % 157.54/157.85 (assume @p8 @t13) % 157.54/157.85 (assume @p9 @t14) % 157.54/157.85 (assume @p10 (not @t15)) % 157.54/157.85 (step @p11 :rule instantiate :premises (@p5) :args ((@list tptp.a @t16 tptp.identity tptp.a tptp.identity tptp.b))) % 157.54/157.85 (step @p12 :rule instantiate :premises (@p6) :args ((@list @t17 tptp.identity tptp.a @t16 @t16 tptp.identity))) % 157.54/157.85 (step @p13 :rule instantiate :premises (@p5) :args ((@list @t17 @t16 tptp.identity tptp.a tptp.identity tptp.a))) % 157.54/157.85 (step @p14 :rule instantiate :premises (@p2) :args (@t18)) % 157.54/157.85 (step @p15 :rule instantiate :premises (@p2) :args (@t19)) % 157.54/157.85 (step @p16 :rule instantiate :premises (@p1) :args (@t19)) % 157.54/157.85 (step @p17 :rule cnf_or_pos :args (@t27)) % 157.54/157.85 (step @p18 :rule reordering :premises (@p17) :args ((or @t22 @t24 @t26 @t20 (not @t27)))) % 157.54/157.85 (step @p19 :rule chain_m_resolution :premises (@p18 @p16 @p15 @p14 @p13) :args (@t20 @t28 (@list @t21 @t23 @t25 @t27))) % 157.54/157.85 (step @p20 :rule instantiate :premises (@p1) :args (@t18)) % 157.54/157.85 (step @p21 :rule cnf_or_pos :args (@t33)) % 157.54/157.85 (step @p22 :rule reordering :premises (@p21) :args ((or @t31 @t29 @t26 @t32 (not @t33)))) % 157.54/157.85 (step @p23 :rule chain_m_resolution :premises (@p22 @p20 @p14 @p19 @p12) :args (@t29 @t28 (@list @t30 @t25 @t20 @t33))) % 157.54/157.85 (step @p24 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b tptp.identity tptp.a))) % 157.54/157.85 (step @p25 :rule cnf_or_pos :args (@t36)) % 157.54/157.85 (step @p26 :rule reordering :premises (@p25) :args ((or @t35 @t22 @t34 (not @t36)))) % 157.54/157.85 (step @p27 :rule chain_m_resolution :premises (@p26 @p8 @p16 @p24) :args (@t34 @t37 (@list @t13 @t21 @t36))) % 157.54/157.85 (step @p28 :rule cnf_or_pos :args (@t41)) % 157.54/157.85 (step @p29 :rule reordering :premises (@p28) :args ((or @t24 @t39 @t38 @t40 (not @t41)))) % 157.54/157.85 (step @p30 :rule chain_m_resolution :premises (@p29 @p15 @p27 @p23 @p11) :args (@t38 @t28 (@list @t23 @t34 @t29 @t41))) % 157.54/157.85 (step @p31 :rule instantiate :premises (@p5) :args ((@list tptp.c tptp.a tptp.result tptp.identity tptp.b tptp.result))) % 157.54/157.85 (step @p32 :rule instantiate :premises (@p6) :args ((@list tptp.c tptp.a tptp.result tptp.identity tptp.a tptp.result))) % 157.54/157.85 (step @p33 :rule instantiate :premises (@p5) :args ((@list tptp.a @t16 tptp.identity tptp.a tptp.identity tptp.a))) % 157.54/157.85 (step @p34 :rule cnf_or_pos :args (@t43)) % 157.54/157.85 (step @p35 :rule reordering :premises (@p34) :args ((or @t22 @t24 @t42 @t40 (not @t43)))) % 157.54/157.85 (step @p36 :rule chain_m_resolution :premises (@p35 @p16 @p15 @p23 @p33) :args (@t42 @t28 (@list @t21 @t23 @t29 @t43))) % 157.54/157.85 (step @p37 :rule cnf_or_pos :args (@t47)) % 157.54/157.85 (step @p38 :rule factoring :premises (@p37)) % 157.54/157.85 (step @p39 :rule reordering :premises (@p38) :args ((or @t45 @t46 @t44 (not @t47)))) % 157.54/157.85 (step @p40 :rule chain_m_resolution :premises (@p39 @p9 @p36 @p32) :args (@t44 @t37 (@list @t14 @t42 @t47))) % 157.54/157.85 (step @p41 :rule cnf_or_pos :args (@t50)) % 157.54/157.85 (step @p42 :rule reordering :premises (@p41) :args ((or @t15 @t45 @t49 @t48 (not @t50)))) % 157.54/157.85 (step @p43 false :rule chain_m_resolution :premises (@p42 @p40 @p31 @p30 @p10 @p9) :args (false (@list false false false true false) (@list @t44 @t50 @t38 @t15 @t14))) % 157.54/157.85 ) % 157.54/157.85 % SZS output end Proof % 157.54/157.86 % cvc5 exiting %------------------------------------------------------------------------------