%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP048-2 : 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 : n020.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 30.23s 30.43s % Output : Proof 30.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP048-2 : TPTP v9.2.1. Released v1.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 00:42:25 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.31/15.53 --- 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... % 30.23/30.43 % SZS status Unsatisfiable % 30.23/30.43 % SZS output start Proof % 30.23/30.44 ( % 30.23/30.44 (declare-sort $$unsorted 0) % 30.23/30.44 (declare-const tptp.a $$unsorted) % 30.23/30.44 (declare-const tptp.b $$unsorted) % 30.23/30.44 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 30.23/30.44 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 30.23/30.44 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 30.23/30.44 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 30.23/30.44 (declare-const tptp.identity $$unsorted) % 30.23/30.44 (define @t1 () (@var "X" $$unsorted)) % 30.23/30.44 (define @t2 () (@list @t1)) % 30.23/30.44 (define @t3 () (@var "Y" $$unsorted)) % 30.23/30.44 (define @t4 () (@var "W" $$unsorted)) % 30.23/30.44 (define @t5 () (@var "Z" $$unsorted)) % 30.23/30.44 (define @t6 () (@var "V" $$unsorted)) % 30.23/30.44 (define @t7 () (tptp.product @t1 @t6 @t4)) % 30.23/30.44 (define @t8 () (@var "U" $$unsorted)) % 30.23/30.44 (define @t9 () (tptp.product @t8 @t5 @t4)) % 30.23/30.44 (define @t10 () (not (tptp.product @t3 @t5 @t6))) % 30.23/30.44 (define @t11 () (not (tptp.product @t1 @t3 @t8))) % 30.23/30.44 (define @t12 () (@list @t1 @t3 @t8 @t5 @t6 @t4)) % 30.23/30.44 (define @t13 () (forall @t12 (or @t11 @t10 (not @t7) @t9))) % 30.23/30.44 (define @t14 () (tptp.equalish tptp.a tptp.b)) % 30.23/30.44 (define @t15 () (tptp.inverse tptp.b)) % 30.23/30.44 (define @t16 () (tptp.inverse tptp.a)) % 30.23/30.44 (define @t17 () (tptp.equalish @t16 @t15)) % 30.23/30.44 (define @t18 () (tptp.inverse @t16)) % 30.23/30.44 (define @t19 () (@list @t16)) % 30.23/30.44 (define @t20 () (@list tptp.a)) % 30.23/30.44 (define @t21 () (tptp.product @t18 tptp.identity tptp.a)) % 30.23/30.44 (define @t22 () (tptp.product tptp.identity tptp.a tptp.a)) % 30.23/30.44 (define @t23 () (not @t22)) % 30.23/30.44 (define @t24 () (tptp.product @t16 tptp.a tptp.identity)) % 30.23/30.44 (define @t25 () (not @t24)) % 30.23/30.44 (define @t26 () (tptp.product @t18 @t16 tptp.identity)) % 30.23/30.44 (define @t27 () (not @t26)) % 30.23/30.44 (define @t28 () (or @t27 @t25 @t23 @t21)) % 30.23/30.44 (define @t29 () (@list false false false false)) % 30.23/30.44 (define @t30 () (tptp.multiply tptp.a @t15)) % 30.23/30.44 (define @t31 () (@list @t15)) % 30.23/30.44 (define @t32 () (tptp.product @t16 @t30 @t15)) % 30.23/30.44 (define @t33 () (tptp.product tptp.identity @t15 @t15)) % 30.23/30.44 (define @t34 () (not @t33)) % 30.23/30.44 (define @t35 () (tptp.product tptp.a @t15 @t30)) % 30.23/30.44 (define @t36 () (not @t35)) % 30.23/30.44 (define @t37 () (or @t25 @t36 @t34 @t32)) % 30.23/30.44 (define @t38 () (tptp.product tptp.identity @t15 @t16)) % 30.23/30.44 (define @t39 () (not @t38)) % 30.23/30.44 (define @t40 () (or @t39 @t34 @t17)) % 30.23/30.44 (define @t41 () (tptp.product @t16 @t30 @t16)) % 30.23/30.44 (define @t42 () (not @t41)) % 30.23/30.44 (define @t43 () (not @t32)) % 30.23/30.44 (define @t44 () (tptp.product tptp.identity @t16 @t16)) % 30.23/30.44 (define @t45 () (not @t44)) % 30.23/30.44 (define @t46 () (or @t45 @t43 @t42 @t38)) % 30.23/30.44 (define @t47 () (tptp.inverse @t15)) % 30.23/30.44 (define @t48 () (tptp.product tptp.identity tptp.identity tptp.identity)) % 30.23/30.44 (define @t49 () (or @t45 @t25 @t25 @t48)) % 30.23/30.44 (define @t50 () (@list false false false)) % 30.23/30.44 (define @t51 () (tptp.product tptp.identity tptp.a tptp.b)) % 30.23/30.44 (define @t52 () (not @t14)) % 30.23/30.44 (define @t53 () (or @t52 @t23 @t51)) % 30.23/30.44 (define @t54 () (tptp.product tptp.identity tptp.b tptp.a)) % 30.23/30.44 (define @t55 () (not @t51)) % 30.23/30.44 (define @t56 () (not @t48)) % 30.23/30.44 (define @t57 () (or @t56 @t55 @t23 @t54)) % 30.23/30.44 (define @t58 () (tptp.product @t47 tptp.identity tptp.a)) % 30.23/30.44 (define @t59 () (not @t54)) % 30.23/30.44 (define @t60 () (tptp.product @t15 tptp.b tptp.identity)) % 30.23/30.44 (define @t61 () (not @t60)) % 30.23/30.44 (define @t62 () (tptp.product @t47 @t15 tptp.identity)) % 30.23/30.44 (define @t63 () (not @t62)) % 30.23/30.44 (define @t64 () (or @t63 @t61 @t59 @t58)) % 30.23/30.44 (define @t65 () (tptp.product tptp.a @t15 tptp.identity)) % 30.23/30.44 (define @t66 () (not @t58)) % 30.23/30.44 (define @t67 () (or @t66 @t34 @t63 @t65)) % 30.23/30.44 (define @t68 () (tptp.product tptp.identity tptp.identity @t30)) % 30.23/30.44 (define @t69 () (not @t65)) % 30.23/30.44 (define @t70 () (or @t23 @t69 @t36 @t68)) % 30.23/30.44 (define @t71 () (tptp.product @t16 tptp.identity @t16)) % 30.23/30.44 (define @t72 () (not @t71)) % 30.23/30.44 (define @t73 () (not @t68)) % 30.23/30.44 (define @t74 () (or @t72 @t73 @t72 @t41)) % 30.23/30.44 (define @t75 () (tptp.product tptp.a @t16 tptp.identity)) % 30.23/30.44 (define @t76 () (not @t75)) % 30.23/30.44 (define @t77 () (or @t25 @t76 @t45 @t71)) % 30.23/30.44 (define @t78 () (@list false false true false)) % 30.23/30.44 (define @t79 () (not @t21)) % 30.23/30.44 (define @t80 () (or @t79 @t45 @t27 @t75)) % 30.23/30.44 (define @t81 () (not @t80)) % 30.23/30.44 (assume @p1 (forall @t2 (tptp.product tptp.identity @t1 @t1))) % 30.23/30.44 (assume @p2 (forall @t2 (tptp.product (tptp.inverse @t1) @t1 tptp.identity))) % 30.23/30.44 (assume @p3 (forall (@list @t1 @t3) (tptp.product @t1 @t3 (tptp.multiply @t1 @t3)))) % 30.23/30.44 (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)))) % 30.23/30.44 (assume @p5 (forall @t12 (or @t11 @t10 (not @t9) @t7))) % 30.23/30.44 (assume @p6 @t13) % 30.23/30.44 (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)))) % 30.23/30.44 (assume @p8 @t14) % 30.23/30.44 (assume @p9 (not @t17)) % 30.23/30.44 (step @p10 :rule instantiate :premises (@p5) :args ((@list @t18 @t16 tptp.identity tptp.a tptp.identity tptp.a))) % 30.23/30.44 (step @p11 :rule instantiate :premises (@p2) :args (@t19)) % 30.23/30.44 (step @p12 :rule instantiate :premises (@p2) :args (@t20)) % 30.23/30.44 (step @p13 :rule instantiate :premises (@p1) :args (@t20)) % 30.23/30.44 (step @p14 :rule cnf_or_pos :args (@t28)) % 30.23/30.44 (step @p15 :rule reordering :premises (@p14) :args ((or @t23 @t25 @t27 @t21 (not @t28)))) % 30.23/30.44 (step @p16 :rule chain_m_resolution :premises (@p15 @p13 @p12 @p11 @p10) :args (@t21 @t29 (@list @t22 @t24 @t26 @t28))) % 30.23/30.44 (step @p17 :rule instantiate :premises (@p5) :args ((@list @t16 tptp.a tptp.identity @t16 tptp.identity @t16))) % 30.23/30.44 (step @p18 :rule instantiate :premises (@p5) :args ((@list @t16 tptp.identity @t16 tptp.identity @t30 @t16))) % 30.23/30.44 (step @p19 :rule instantiate :premises (@p5) :args ((@list tptp.identity @t16 @t16 @t30 @t15 @t16))) % 30.23/30.44 (step @p20 :rule instantiate :premises (@p5) :args ((@list @t16 tptp.a tptp.identity @t15 @t30 @t15))) % 30.23/30.44 (step @p21 :rule instantiate :premises (@p3) :args ((@list tptp.a @t15))) % 30.23/30.44 (step @p22 :rule instantiate :premises (@p1) :args (@t31)) % 30.23/30.44 (step @p23 :rule cnf_or_pos :args (@t37)) % 30.23/30.44 (step @p24 :rule reordering :premises (@p23) :args ((or @t25 @t34 @t36 @t32 (not @t37)))) % 30.23/30.44 (step @p25 :rule chain_m_resolution :premises (@p24 @p12 @p22 @p21 @p20) :args (@t32 @t29 (@list @t24 @t33 @t35 @t37))) % 30.23/30.44 (step @p26 :rule instantiate :premises (@p1) :args (@t19)) % 30.23/30.44 (step @p27 :rule instantiate :premises (@p4) :args ((@list tptp.identity @t15 @t16 @t15))) % 30.23/30.44 (step @p28 :rule cnf_or_pos :args (@t40)) % 30.23/30.44 (step @p29 :rule reordering :premises (@p28) :args ((or @t17 @t34 @t39 (not @t40)))) % 30.23/30.44 (step @p30 :rule chain_m_resolution :premises (@p29 @p9 @p22 @p27) :args (@t39 (@list true false false) (@list @t17 @t33 @t40))) % 30.23/30.44 (step @p31 :rule cnf_or_pos :args (@t46)) % 30.23/30.44 (step @p32 :rule reordering :premises (@p31) :args ((or @t38 @t45 @t43 @t42 (not @t46)))) % 30.23/30.44 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p26 @p25 @p19) :args (@t42 (@list true false false false) (@list @t38 @t44 @t32 @t46))) % 30.23/30.44 (step @p34 :rule instantiate :premises (@p5) :args ((@list tptp.identity tptp.a tptp.a @t15 tptp.identity @t30))) % 30.23/30.44 (step @p35 :rule instantiate :premises (@p6) :args ((@list @t47 tptp.identity tptp.a @t15 @t15 tptp.identity))) % 30.23/30.44 (step @p36 :rule instantiate :premises (@p5) :args ((@list @t47 @t15 tptp.identity tptp.b tptp.identity tptp.a))) % 30.23/30.44 (step @p37 :rule instantiate :premises (@p2) :args (@t31)) % 30.23/30.44 (step @p38 :rule instantiate :premises (@p5) :args ((@list tptp.identity tptp.identity tptp.identity tptp.a tptp.b tptp.a))) % 30.23/30.44 (step @p39 :rule instantiate :premises (@p5) :args ((@list tptp.identity @t16 @t16 tptp.a tptp.identity tptp.identity))) % 30.23/30.44 (step @p40 :rule cnf_or_pos :args (@t49)) % 30.23/30.44 (step @p41 :rule factoring :premises (@p40)) % 30.23/30.44 (step @p42 :rule reordering :premises (@p41) :args ((or @t25 @t45 @t48 (not @t49)))) % 30.23/30.44 (step @p43 :rule chain_m_resolution :premises (@p42 @p12 @p26 @p39) :args (@t48 @t50 (@list @t24 @t44 @t49))) % 30.23/30.44 (step @p44 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b tptp.identity tptp.a))) % 30.23/30.44 (step @p45 :rule cnf_or_pos :args (@t53)) % 30.23/30.44 (step @p46 :rule reordering :premises (@p45) :args ((or @t52 @t23 @t51 (not @t53)))) % 30.23/30.44 (step @p47 :rule chain_m_resolution :premises (@p46 @p8 @p13 @p44) :args (@t51 @t50 (@list @t14 @t22 @t53))) % 30.23/30.44 (step @p48 :rule cnf_or_pos :args (@t57)) % 30.23/30.44 (step @p49 :rule reordering :premises (@p48) :args ((or @t23 @t55 @t56 @t54 (not @t57)))) % 30.23/30.44 (step @p50 :rule chain_m_resolution :premises (@p49 @p13 @p47 @p43 @p38) :args (@t54 @t29 (@list @t22 @t51 @t48 @t57))) % 30.23/30.44 (step @p51 :rule instantiate :premises (@p2) :args ((@list tptp.b))) % 30.23/30.44 (step @p52 :rule cnf_or_pos :args (@t64)) % 30.23/30.44 (step @p53 :rule reordering :premises (@p52) :args ((or @t61 @t59 @t63 @t58 (not @t64)))) % 30.23/30.44 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p50 @p37 @p36) :args (@t58 @t29 (@list @t60 @t54 @t62 @t64))) % 30.23/30.44 (step @p55 :rule cnf_or_pos :args (@t67)) % 30.23/30.44 (step @p56 :rule reordering :premises (@p55) :args ((or @t34 @t63 @t65 @t66 (not @t67)))) % 30.23/30.44 (step @p57 :rule chain_m_resolution :premises (@p56 @p22 @p37 @p54 @p35) :args (@t65 @t29 (@list @t33 @t62 @t58 @t67))) % 30.23/30.44 (step @p58 :rule cnf_or_pos :args (@t70)) % 30.23/30.44 (step @p59 :rule reordering :premises (@p58) :args ((or @t23 @t36 @t69 @t68 (not @t70)))) % 30.23/30.44 (step @p60 :rule chain_m_resolution :premises (@p59 @p13 @p21 @p57 @p34) :args (@t68 @t29 (@list @t22 @t35 @t65 @t70))) % 30.23/30.44 (step @p61 :rule cnf_or_pos :args (@t74)) % 30.23/30.44 (step @p62 :rule factoring :premises (@p61)) % 30.23/30.44 (step @p63 :rule reordering :premises (@p62) :args ((or @t72 @t73 @t41 (not @t74)))) % 30.23/30.44 (step @p64 :rule chain_m_resolution :premises (@p63 @p60 @p33 @p18) :args (@t72 (@list false true false) (@list @t68 @t41 @t74))) % 30.23/30.44 (step @p65 :rule cnf_or_pos :args (@t77)) % 30.23/30.44 (step @p66 :rule reordering :premises (@p65) :args ((or @t25 @t45 @t76 @t71 (not @t77)))) % 30.23/30.44 (step @p67 :rule chain_m_resolution :premises (@p66 @p12 @p26 @p64 @p17) :args (@t76 @t78 (@list @t24 @t44 @t71 @t77))) % 30.23/30.44 (step @p68 :rule cnf_or_pos :args (@t80)) % 30.23/30.44 (step @p69 :rule reordering :premises (@p68) :args ((or @t45 @t27 @t75 @t79 @t81))) % 30.23/30.44 (step @p70 :rule chain_m_resolution :premises (@p69 @p26 @p11 @p67 @p16) :args (@t81 @t78 (@list @t44 @t26 @t75 @t21))) % 30.23/30.44 (assume-push @p77 @t13) % 30.23/30.44 (step @p72 :rule instantiate :premises (@p6) :args ((@list @t18 tptp.identity tptp.a @t16 @t16 tptp.identity))) % 30.23/30.44 (step-pop @p78 :rule scope :premises (@p72)) % 30.23/30.44 (step @p73 :rule process_scope :premises (@p78) :args (@t80)) % 30.23/30.44 (step @p75 :rule implies_elim :premises (@p73)) % 30.23/30.44 (step @p76 false :rule chain_m_resolution :premises (@p75 @p70 @p6) :args (false (@list true false) (@list @t80 @t13))) % 30.23/30.44 ) % 30.23/30.45 % SZS output end Proof % 30.23/30.45 % cvc5 exiting %------------------------------------------------------------------------------