%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP039-6 : 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 : 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 08:19:41 AM UTC 2026 % Result : Unsatisfiable 28.11s 28.32s % Output : Proof 28.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP039-6 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.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 00:41:25 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.30/15.57 --- Run --no-e-matching --full-saturate-quant at 6... % 21.31/21.59 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.41/27.62 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.11/28.32 % SZS status Unsatisfiable % 28.11/28.32 % SZS output start Proof % 28.11/28.33 ( % 28.11/28.33 (declare-sort $$unsorted 0) % 28.11/28.33 (declare-const tptp.d $$unsorted) % 28.11/28.33 (declare-const tptp.a $$unsorted) % 28.11/28.33 (declare-const tptp.b $$unsorted) % 28.11/28.33 (declare-const tptp.identity $$unsorted) % 28.11/28.33 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 28.11/28.33 (declare-const tptp.element_in_O2 (-> $$unsorted $$unsorted $$unsorted)) % 28.11/28.33 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 28.11/28.33 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 28.11/28.33 (declare-const tptp.c $$unsorted) % 28.11/28.33 (declare-const tptp.subgroup_member (-> $$unsorted Bool)) % 28.11/28.33 (define @t1 () (@var "B" $$unsorted)) % 28.11/28.33 (define @t2 () (tptp.subgroup_member @t1)) % 28.11/28.33 (define @t3 () (@var "A" $$unsorted)) % 28.11/28.33 (define @t4 () (tptp.subgroup_member @t3)) % 28.11/28.33 (define @t5 () (not @t4)) % 28.11/28.33 (define @t6 () (not (tptp.equalish @t3 @t1))) % 28.11/28.33 (define @t7 () (@list @t3 @t1)) % 28.11/28.33 (define @t8 () (@var "Y" $$unsorted)) % 28.11/28.33 (define @t9 () (@var "Z" $$unsorted)) % 28.11/28.33 (define @t10 () (@var "W" $$unsorted)) % 28.11/28.33 (define @t11 () (@var "X" $$unsorted)) % 28.11/28.33 (define @t12 () (@var "C" $$unsorted)) % 28.11/28.33 (define @t13 () (@list @t3 @t1 @t12)) % 28.11/28.33 (define @t14 () (tptp.inverse @t11)) % 28.11/28.33 (define @t15 () (@list @t11)) % 28.11/28.33 (define @t16 () (not (tptp.product @t3 @t1 @t12))) % 28.11/28.33 (define @t17 () (forall @t13 (or @t5 (not @t2) @t16 (tptp.subgroup_member @t12)))) % 28.11/28.33 (define @t18 () (@var "V" $$unsorted)) % 28.11/28.33 (define @t19 () (tptp.product @t11 @t18 @t10)) % 28.11/28.33 (define @t20 () (@var "U" $$unsorted)) % 28.11/28.33 (define @t21 () (tptp.product @t20 @t9 @t10)) % 28.11/28.33 (define @t22 () (not (tptp.product @t8 @t9 @t18))) % 28.11/28.33 (define @t23 () (not (tptp.product @t11 @t8 @t20))) % 28.11/28.33 (define @t24 () (@list @t11 @t8 @t20 @t9 @t18 @t10)) % 28.11/28.33 (define @t25 () (tptp.subgroup_member tptp.identity)) % 28.11/28.33 (define @t26 () (@var "D" $$unsorted)) % 28.11/28.33 (define @t27 () (@list @t3 @t1 @t12 @t26)) % 28.11/28.33 (define @t28 () (tptp.element_in_O2 @t3 @t1)) % 28.11/28.33 (define @t29 () (tptp.subgroup_member tptp.b)) % 28.11/28.33 (define @t30 () (tptp.inverse tptp.a)) % 28.11/28.33 (define @t31 () (tptp.product tptp.b @t30 tptp.c)) % 28.11/28.33 (define @t32 () (tptp.product tptp.a tptp.c tptp.d)) % 28.11/28.33 (define @t33 () (tptp.subgroup_member tptp.d)) % 28.11/28.33 (define @t34 () (@list tptp.c)) % 28.11/28.33 (define @t35 () (tptp.subgroup_member tptp.c)) % 28.11/28.33 (define @t36 () (not @t31)) % 28.11/28.33 (define @t37 () (tptp.subgroup_member @t30)) % 28.11/28.33 (define @t38 () (not @t37)) % 28.11/28.33 (define @t39 () (not @t29)) % 28.11/28.33 (define @t40 () (or @t39 @t38 @t36 @t35)) % 28.11/28.33 (define @t41 () (@list tptp.a)) % 28.11/28.33 (define @t42 () (tptp.subgroup_member tptp.a)) % 28.11/28.33 (define @t43 () (not @t42)) % 28.11/28.33 (define @t44 () (or @t43 @t37)) % 28.11/28.33 (define @t45 () (@list tptp.a tptp.d)) % 28.11/28.33 (define @t46 () (tptp.element_in_O2 tptp.a tptp.d)) % 28.11/28.33 (define @t47 () (tptp.product tptp.a @t46 tptp.d)) % 28.11/28.33 (define @t48 () (or @t47 @t33 @t42)) % 28.11/28.33 (define @t49 () (tptp.subgroup_member @t46)) % 28.11/28.33 (define @t50 () (or @t49 @t33 @t42)) % 28.11/28.33 (define @t51 () (tptp.product @t30 tptp.d tptp.c)) % 28.11/28.33 (define @t52 () (tptp.product tptp.identity tptp.c tptp.c)) % 28.11/28.33 (define @t53 () (not @t52)) % 28.11/28.33 (define @t54 () (not @t32)) % 28.11/28.33 (define @t55 () (tptp.product @t30 tptp.a tptp.identity)) % 28.11/28.33 (define @t56 () (not @t55)) % 28.11/28.33 (define @t57 () (or @t56 @t54 @t53 @t51)) % 28.11/28.33 (define @t58 () (@list false false false false)) % 28.11/28.33 (define @t59 () (tptp.product tptp.identity @t46 tptp.c)) % 28.11/28.33 (define @t60 () (not @t51)) % 28.11/28.33 (define @t61 () (not @t47)) % 28.11/28.33 (define @t62 () (or @t56 @t61 @t60 @t59)) % 28.11/28.33 (define @t63 () (not @t59)) % 28.11/28.33 (define @t64 () (not @t49)) % 28.11/28.33 (define @t65 () (not @t25)) % 28.11/28.33 (define @t66 () (or @t65 @t64 @t63 @t35)) % 28.11/28.33 (define @t67 () (tptp.inverse tptp.c)) % 28.11/28.33 (define @t68 () (tptp.subgroup_member @t67)) % 28.11/28.33 (define @t69 () (not @t35)) % 28.11/28.33 (define @t70 () (or @t69 @t68)) % 28.11/28.33 (define @t71 () (tptp.product tptp.c tptp.a tptp.b)) % 28.11/28.33 (define @t72 () (tptp.product tptp.b tptp.identity tptp.b)) % 28.11/28.33 (define @t73 () (not @t72)) % 28.11/28.33 (define @t74 () (or @t36 @t56 @t73 @t71)) % 28.11/28.33 (define @t75 () (tptp.product @t67 tptp.b tptp.a)) % 28.11/28.33 (define @t76 () (tptp.product tptp.identity tptp.a tptp.a)) % 28.11/28.33 (define @t77 () (not @t76)) % 28.11/28.33 (define @t78 () (not @t71)) % 28.11/28.33 (define @t79 () (tptp.product @t67 tptp.c tptp.identity)) % 28.11/28.33 (define @t80 () (not @t79)) % 28.11/28.33 (define @t81 () (or @t80 @t78 @t77 @t75)) % 28.11/28.33 (define @t82 () (or @t43 @t69 @t54 @t33)) % 28.11/28.33 (define @t83 () (not @t75)) % 28.11/28.33 (define @t84 () (not @t68)) % 28.11/28.33 (define @t85 () (or @t84 @t39 @t83 @t42)) % 28.11/28.33 (define @t86 () (not @t85)) % 28.11/28.33 (assume @p1 (forall @t7 (or @t6 @t5 @t2))) % 28.11/28.33 (assume @p2 (forall (@list @t11 @t8 @t10 @t9) (or (not (tptp.equalish @t11 @t8)) (not (tptp.product @t10 @t9 @t11)) (tptp.product @t10 @t9 @t8)))) % 28.11/28.33 (assume @p3 (forall @t13 (or @t6 (tptp.equalish (tptp.element_in_O2 @t12 @t3) (tptp.element_in_O2 @t12 @t1))))) % 28.11/28.33 (assume @p4 (forall @t13 (or @t6 (tptp.equalish (tptp.element_in_O2 @t3 @t12) (tptp.element_in_O2 @t1 @t12))))) % 28.11/28.33 (assume @p5 (forall @t15 (or (not (tptp.subgroup_member @t11)) (tptp.subgroup_member @t14)))) % 28.11/28.33 (assume @p6 @t17) % 28.11/28.33 (assume @p7 (forall @t15 (tptp.product tptp.identity @t11 @t11))) % 28.11/28.33 (assume @p8 (forall @t15 (tptp.product @t11 tptp.identity @t11))) % 28.11/28.33 (assume @p9 (forall @t15 (tptp.product @t14 @t11 tptp.identity))) % 28.11/28.33 (assume @p10 (forall @t15 (tptp.product @t11 @t14 tptp.identity))) % 28.11/28.33 (assume @p11 (forall @t24 (or @t23 @t22 (not @t21) @t19))) % 28.11/28.33 (assume @p12 (forall @t24 (or @t23 @t22 (not @t19) @t21))) % 28.11/28.33 (assume @p13 (forall (@list @t11 @t8 @t9 @t10) (or (not (tptp.product @t11 @t8 @t9)) (not (tptp.product @t11 @t8 @t10)) (tptp.equalish @t9 @t10)))) % 28.11/28.33 (assume @p14 @t25) % 28.11/28.33 (assume @p15 (forall @t27 (or @t16 (not (tptp.product @t3 @t26 @t12)) (tptp.equalish @t26 @t1)))) % 28.11/28.33 (assume @p16 (forall @t27 (or @t16 (not (tptp.product @t26 @t1 @t12)) (tptp.equalish @t26 @t3)))) % 28.11/28.33 (assume @p17 (forall @t7 (or (tptp.subgroup_member @t28) @t2 @t4))) % 28.11/28.33 (assume @p18 (forall @t7 (or (tptp.product @t3 @t28 @t1) @t2 @t4))) % 28.11/28.33 (assume @p19 @t29) % 28.11/28.33 (assume @p20 @t31) % 28.11/28.33 (assume @p21 @t32) % 28.11/28.33 (assume @p22 (not @t33)) % 28.11/28.33 (step @p23 :rule instantiate :premises (@p5) :args (@t34)) % 28.11/28.33 (step @p24 :rule instantiate :premises (@p6) :args ((@list tptp.b @t30 tptp.c))) % 28.11/28.33 (step @p25 :rule cnf_or_pos :args (@t40)) % 28.11/28.33 (step @p26 :rule reordering :premises (@p25) :args ((or @t39 @t36 @t35 @t38 (not @t40)))) % 28.11/28.33 (step @p27 :rule instantiate :premises (@p5) :args (@t41)) % 28.11/28.33 (step @p28 :rule cnf_or_pos :args (@t44)) % 28.11/28.33 (step @p29 :rule reordering :premises (@p28) :args ((or @t43 @t37 (not @t44)))) % 28.11/28.33 (step @p30 :rule instantiate :premises (@p18) :args (@t45)) % 28.11/28.33 (step @p31 :rule cnf_or_pos :args (@t48)) % 28.11/28.33 (step @p32 :rule reordering :premises (@p31) :args ((or @t33 @t42 @t47 (not @t48)))) % 28.11/28.33 (step @p33 :rule instantiate :premises (@p17) :args (@t45)) % 28.11/28.33 (step @p34 :rule cnf_or_pos :args (@t50)) % 28.11/28.33 (step @p35 :rule reordering :premises (@p34) :args ((or @t33 @t42 @t49 (not @t50)))) % 28.11/28.33 (step @p36 :rule instantiate :premises (@p9) :args (@t41)) % 28.11/28.33 (step @p37 :rule instantiate :premises (@p11) :args ((@list @t30 tptp.a tptp.identity tptp.c tptp.d tptp.c))) % 28.11/28.33 (step @p38 :rule instantiate :premises (@p7) :args (@t34)) % 28.11/28.33 (step @p39 :rule cnf_or_pos :args (@t57)) % 28.11/28.33 (step @p40 :rule reordering :premises (@p39) :args ((or @t54 @t56 @t53 @t51 (not @t57)))) % 28.11/28.33 (step @p41 :rule chain_m_resolution :premises (@p40 @p21 @p36 @p38 @p37) :args (@t51 @t58 (@list @t32 @t55 @t52 @t57))) % 28.11/28.33 (step @p42 :rule instantiate :premises (@p12) :args ((@list @t30 tptp.a tptp.identity @t46 tptp.d tptp.c))) % 28.11/28.33 (step @p43 :rule cnf_or_pos :args (@t62)) % 28.11/28.33 (step @p44 :rule reordering :premises (@p43) :args ((or @t56 @t61 @t60 @t59 (not @t62)))) % 28.11/28.33 (step @p45 :rule instantiate :premises (@p6) :args ((@list tptp.identity @t46 tptp.c))) % 28.11/28.33 (step @p46 :rule cnf_or_pos :args (@t66)) % 28.11/28.33 (step @p47 :rule reordering :premises (@p46) :args ((or @t65 @t35 @t64 @t63 (not @t66)))) % 28.11/28.33 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p14 @p44 @p42 @p41 @p36 @p35 @p33 @p22 @p32 @p30 @p22 @p29 @p27 @p26 @p24 @p20 @p19) :args (@t35 (@list false false false false false false false false true false false true true false true false false false) (@list @t66 @t25 @t59 @t62 @t51 @t55 @t49 @t50 @t33 @t47 @t48 @t33 @t42 @t44 @t37 @t40 @t31 @t29))) % 28.11/28.33 (step @p49 :rule cnf_or_pos :args (@t70)) % 28.11/28.33 (step @p50 :rule reordering :premises (@p49) :args ((or @t69 @t68 (not @t70)))) % 28.11/28.33 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p23) :args (@t68 (@list false false) (@list @t35 @t70))) % 28.11/28.33 (step @p52 :rule instantiate :premises (@p11) :args ((@list @t67 tptp.c tptp.identity tptp.a tptp.b tptp.a))) % 28.11/28.33 (step @p53 :rule instantiate :premises (@p12) :args ((@list tptp.b @t30 tptp.c tptp.a tptp.identity tptp.b))) % 28.11/28.33 (step @p54 :rule instantiate :premises (@p8) :args ((@list tptp.b))) % 28.11/28.33 (step @p55 :rule cnf_or_pos :args (@t74)) % 28.11/28.33 (step @p56 :rule reordering :premises (@p55) :args ((or @t36 @t56 @t73 @t71 (not @t74)))) % 28.11/28.33 (step @p57 :rule chain_m_resolution :premises (@p56 @p20 @p36 @p54 @p53) :args (@t71 @t58 (@list @t31 @t55 @t72 @t74))) % 28.11/28.33 (step @p58 :rule instantiate :premises (@p9) :args (@t34)) % 28.11/28.33 (step @p59 :rule instantiate :premises (@p7) :args (@t41)) % 28.11/28.33 (step @p60 :rule cnf_or_pos :args (@t81)) % 28.11/28.33 (step @p61 :rule reordering :premises (@p60) :args ((or @t77 @t80 @t78 @t75 (not @t81)))) % 28.11/28.33 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p58 @p57 @p52) :args (@t75 @t58 (@list @t76 @t79 @t71 @t81))) % 28.11/28.33 (step @p63 :rule instantiate :premises (@p6) :args ((@list tptp.a tptp.c tptp.d))) % 28.11/28.33 (step @p64 :rule cnf_or_pos :args (@t82)) % 28.11/28.33 (step @p65 :rule reordering :premises (@p64) :args ((or @t33 @t54 @t43 @t69 (not @t82)))) % 28.11/28.33 (step @p66 :rule chain_m_resolution :premises (@p65 @p22 @p21 @p48 @p63) :args (@t43 (@list true false false false) (@list @t33 @t32 @t35 @t82))) % 28.11/28.33 (step @p67 :rule cnf_or_pos :args (@t85)) % 28.11/28.33 (step @p68 :rule reordering :premises (@p67) :args ((or @t39 @t42 @t83 @t84 @t86))) % 28.11/28.33 (step @p69 :rule chain_m_resolution :premises (@p68 @p19 @p66 @p62 @p51) :args (@t86 (@list false true false false) (@list @t29 @t42 @t75 @t68))) % 28.11/28.33 (assume-push @p76 @t17) % 28.11/28.33 (step @p71 :rule instantiate :premises (@p6) :args ((@list @t67 tptp.b tptp.a))) % 28.11/28.33 (step-pop @p77 :rule scope :premises (@p71)) % 28.11/28.33 (step @p72 :rule process_scope :premises (@p77) :args (@t85)) % 28.11/28.33 (step @p74 :rule implies_elim :premises (@p72)) % 28.11/28.33 (step @p75 false :rule chain_m_resolution :premises (@p74 @p69 @p6) :args (false (@list true false) (@list @t85 @t17))) % 28.11/28.33 ) % 28.11/28.33 % SZS output end Proof % 28.11/28.33 % cvc5 exiting %------------------------------------------------------------------------------