%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP039-1 : 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 : n018.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 08:19:40 AM UTC 2026 % Result : Unsatisfiable 158.23s 158.48s % Output : Proof 158.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP039-1 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.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 00:41:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.32/15.54 --- Run --no-e-matching --full-saturate-quant at 6... % 21.33/21.57 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.34/27.59 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.54/33.72 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.52/63.78 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.61/78.82 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.62/111.88 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 127.42/127.70 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.54/157.75 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 158.23/158.48 % SZS status Unsatisfiable % 158.23/158.48 % SZS output start Proof % 158.23/158.48 ( % 158.23/158.48 (declare-sort $$unsorted 0) % 158.23/158.48 (declare-const tptp.a $$unsorted) % 158.23/158.48 (declare-const tptp.c $$unsorted) % 158.23/158.48 (declare-const tptp.b $$unsorted) % 158.23/158.48 (declare-const tptp.element_in_O2 (-> $$unsorted $$unsorted $$unsorted)) % 158.23/158.48 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 158.23/158.48 (declare-const tptp.subgroup_member (-> $$unsorted Bool)) % 158.23/158.48 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 158.23/158.48 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 158.23/158.48 (declare-const tptp.d $$unsorted) % 158.23/158.48 (declare-const tptp.identity $$unsorted) % 158.23/158.48 (define @t1 () (@var "X" $$unsorted)) % 158.23/158.48 (define @t2 () (@list @t1)) % 158.23/158.48 (define @t3 () (tptp.inverse @t1)) % 158.23/158.48 (define @t4 () (@var "Y" $$unsorted)) % 158.23/158.48 (define @t5 () (@var "W" $$unsorted)) % 158.23/158.48 (define @t6 () (@var "Z" $$unsorted)) % 158.23/158.48 (define @t7 () (@var "V" $$unsorted)) % 158.23/158.48 (define @t8 () (tptp.product @t1 @t7 @t5)) % 158.23/158.48 (define @t9 () (@var "U" $$unsorted)) % 158.23/158.48 (define @t10 () (tptp.product @t9 @t6 @t5)) % 158.23/158.48 (define @t11 () (not (tptp.product @t4 @t6 @t7))) % 158.23/158.48 (define @t12 () (not (tptp.product @t1 @t4 @t9))) % 158.23/158.48 (define @t13 () (@list @t1 @t4 @t9 @t6 @t7 @t5)) % 158.23/158.48 (define @t14 () (@var "C" $$unsorted)) % 158.23/158.48 (define @t15 () (@var "B" $$unsorted)) % 158.23/158.48 (define @t16 () (@var "A" $$unsorted)) % 158.23/158.48 (define @t17 () (tptp.subgroup_member @t15)) % 158.23/158.48 (define @t18 () (tptp.subgroup_member @t16)) % 158.23/158.48 (define @t19 () (forall (@list @t16 @t15 @t14) (or (not @t18) (not @t17) (not (tptp.product @t16 @t15 @t14)) (tptp.subgroup_member @t14)))) % 158.23/158.48 (define @t20 () (tptp.element_in_O2 @t16 @t15)) % 158.23/158.48 (define @t21 () (@list @t16 @t15)) % 158.23/158.48 (define @t22 () (tptp.subgroup_member tptp.b)) % 158.23/158.48 (define @t23 () (tptp.inverse tptp.a)) % 158.23/158.48 (define @t24 () (tptp.product tptp.b @t23 tptp.c)) % 158.23/158.48 (define @t25 () (tptp.product tptp.a tptp.c tptp.d)) % 158.23/158.48 (define @t26 () (tptp.subgroup_member tptp.d)) % 158.23/158.48 (define @t27 () (tptp.inverse tptp.b)) % 158.23/158.48 (define @t28 () (@list @t23)) % 158.23/158.48 (define @t29 () (@list tptp.b)) % 158.23/158.48 (define @t30 () (tptp.product @t27 tptp.c @t23)) % 158.23/158.48 (define @t31 () (tptp.product tptp.identity @t23 @t23)) % 158.23/158.48 (define @t32 () (not @t31)) % 158.23/158.48 (define @t33 () (not @t24)) % 158.23/158.48 (define @t34 () (tptp.product @t27 tptp.b tptp.identity)) % 158.23/158.48 (define @t35 () (not @t34)) % 158.23/158.48 (define @t36 () (or @t35 @t33 @t32 @t30)) % 158.23/158.48 (define @t37 () (@list false false false false)) % 158.23/158.48 (define @t38 () (tptp.subgroup_member @t27)) % 158.23/158.48 (define @t39 () (not @t22)) % 158.23/158.48 (define @t40 () (or @t39 @t38)) % 158.23/158.48 (define @t41 () (tptp.inverse @t23)) % 158.23/158.48 (define @t42 () (@list tptp.a)) % 158.23/158.48 (define @t43 () (tptp.product tptp.identity @t41 tptp.a)) % 158.23/158.48 (define @t44 () (tptp.product tptp.a tptp.identity tptp.a)) % 158.23/158.48 (define @t45 () (not @t44)) % 158.23/158.48 (define @t46 () (tptp.product @t23 @t41 tptp.identity)) % 158.23/158.48 (define @t47 () (not @t46)) % 158.23/158.48 (define @t48 () (tptp.product tptp.a @t23 tptp.identity)) % 158.23/158.48 (define @t49 () (not @t48)) % 158.23/158.48 (define @t50 () (or @t49 @t47 @t45 @t43)) % 158.23/158.48 (define @t51 () (tptp.subgroup_member tptp.identity)) % 158.23/158.48 (define @t52 () (tptp.product tptp.b @t27 tptp.identity)) % 158.23/158.48 (define @t53 () (not @t52)) % 158.23/158.48 (define @t54 () (not @t38)) % 158.23/158.48 (define @t55 () (or @t39 @t54 @t53 @t51)) % 158.23/158.48 (define @t56 () (tptp.subgroup_member @t23)) % 158.23/158.48 (define @t57 () (tptp.subgroup_member tptp.a)) % 158.23/158.48 (define @t58 () (not @t57)) % 158.23/158.48 (define @t59 () (or @t58 @t56)) % 158.23/158.48 (define @t60 () (not @t25)) % 158.23/158.48 (define @t61 () (tptp.subgroup_member tptp.c)) % 158.23/158.48 (define @t62 () (not @t61)) % 158.23/158.48 (define @t63 () (or @t58 @t62 @t60 @t26)) % 158.23/158.48 (define @t64 () (not @t56)) % 158.23/158.48 (define @t65 () (or @t39 @t64 @t33 @t61)) % 158.23/158.48 (define @t66 () (not @t43)) % 158.23/158.48 (define @t67 () (tptp.subgroup_member @t41)) % 158.23/158.48 (define @t68 () (not @t67)) % 158.23/158.48 (define @t69 () (not @t51)) % 158.23/158.48 (define @t70 () (or @t69 @t68 @t66 @t57)) % 158.23/158.48 (define @t71 () (@list true false false false)) % 158.23/158.48 (define @t72 () (or @t64 @t67)) % 158.23/158.48 (define @t73 () (@list true false)) % 158.23/158.48 (define @t74 () (@list @t23 tptp.c)) % 158.23/158.48 (define @t75 () (tptp.element_in_O2 @t23 tptp.c)) % 158.23/158.48 (define @t76 () (tptp.product @t23 @t75 tptp.c)) % 158.23/158.48 (define @t77 () (or @t76 @t61 @t56)) % 158.23/158.48 (define @t78 () (tptp.subgroup_member @t75)) % 158.23/158.48 (define @t79 () (or @t78 @t61 @t56)) % 158.23/158.48 (define @t80 () (tptp.product tptp.identity @t75 tptp.d)) % 158.23/158.48 (define @t81 () (not @t76)) % 158.23/158.48 (define @t82 () (or @t49 @t81 @t60 @t80)) % 158.23/158.48 (define @t83 () (not @t80)) % 158.23/158.48 (define @t84 () (not @t78)) % 158.23/158.48 (define @t85 () (or @t69 @t84 @t83 @t26)) % 158.23/158.48 (define @t86 () (not @t30)) % 158.23/158.48 (define @t87 () (or @t54 @t62 @t86 @t56)) % 158.23/158.48 (define @t88 () (not @t87)) % 158.23/158.48 (assume @p1 (forall @t2 (tptp.product tptp.identity @t1 @t1))) % 158.23/158.48 (assume @p2 (forall @t2 (tptp.product @t1 tptp.identity @t1))) % 158.23/158.48 (assume @p3 (forall @t2 (tptp.product @t3 @t1 tptp.identity))) % 158.23/158.48 (assume @p4 (forall @t2 (tptp.product @t1 @t3 tptp.identity))) % 158.23/158.48 (assume @p5 (forall (@list @t1 @t4) (tptp.product @t1 @t4 (tptp.multiply @t1 @t4)))) % 158.23/158.48 (assume @p6 (forall (@list @t1 @t4 @t6 @t5) (or (not (tptp.product @t1 @t4 @t6)) (not (tptp.product @t1 @t4 @t5)) (= @t6 @t5)))) % 158.23/158.48 (assume @p7 (forall @t13 (or @t12 @t11 (not @t10) @t8))) % 158.23/158.48 (assume @p8 (forall @t13 (or @t12 @t11 (not @t8) @t10))) % 158.23/158.48 (assume @p9 (forall @t2 (or (not (tptp.subgroup_member @t1)) (tptp.subgroup_member @t3)))) % 158.23/158.48 (assume @p10 @t19) % 158.23/158.48 (assume @p11 (forall @t21 (or (tptp.subgroup_member @t20) @t17 @t18))) % 158.23/158.48 (assume @p12 (forall @t21 (or (tptp.product @t16 @t20 @t15) @t17 @t18))) % 158.23/158.48 (assume @p13 @t22) % 158.23/158.48 (assume @p14 @t24) % 158.23/158.48 (assume @p15 @t25) % 158.23/158.48 (assume @p16 (not @t26)) % 158.23/158.48 (step @p17 :rule instantiate :premises (@p7) :args ((@list @t27 tptp.b tptp.identity @t23 tptp.c @t23))) % 158.23/158.48 (step @p18 :rule instantiate :premises (@p1) :args (@t28)) % 158.23/158.48 (step @p19 :rule instantiate :premises (@p3) :args (@t29)) % 158.23/158.48 (step @p20 :rule cnf_or_pos :args (@t36)) % 158.23/158.48 (step @p21 :rule reordering :premises (@p20) :args ((or @t33 @t35 @t32 @t30 (not @t36)))) % 158.23/158.48 (step @p22 :rule chain_m_resolution :premises (@p21 @p14 @p19 @p18 @p17) :args (@t30 @t37 (@list @t24 @t34 @t31 @t36))) % 158.23/158.48 (step @p23 :rule instantiate :premises (@p9) :args (@t29)) % 158.23/158.48 (step @p24 :rule cnf_or_pos :args (@t40)) % 158.23/158.48 (step @p25 :rule reordering :premises (@p24) :args ((or @t39 @t38 (not @t40)))) % 158.23/158.48 (step @p26 :rule chain_m_resolution :premises (@p25 @p13 @p23) :args (@t38 (@list false false) (@list @t22 @t40))) % 158.23/158.48 (step @p27 :rule instantiate :premises (@p9) :args (@t28)) % 158.23/158.48 (step @p28 :rule instantiate :premises (@p10) :args ((@list tptp.identity @t41 tptp.a))) % 158.23/158.48 (step @p29 :rule instantiate :premises (@p8) :args ((@list tptp.a @t23 tptp.identity @t41 tptp.identity tptp.a))) % 158.23/158.48 (step @p30 :rule instantiate :premises (@p4) :args (@t28)) % 158.23/158.48 (step @p31 :rule instantiate :premises (@p2) :args (@t42)) % 158.23/158.48 (step @p32 :rule instantiate :premises (@p4) :args (@t42)) % 158.23/158.48 (step @p33 :rule cnf_or_pos :args (@t50)) % 158.23/158.48 (step @p34 :rule reordering :premises (@p33) :args ((or @t49 @t45 @t47 @t43 (not @t50)))) % 158.23/158.48 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p31 @p30 @p29) :args (@t43 @t37 (@list @t48 @t44 @t46 @t50))) % 158.23/158.48 (step @p36 :rule instantiate :premises (@p10) :args ((@list tptp.b @t27 tptp.identity))) % 158.23/158.48 (step @p37 :rule instantiate :premises (@p4) :args (@t29)) % 158.23/158.48 (step @p38 :rule cnf_or_pos :args (@t55)) % 158.23/158.48 (step @p39 :rule reordering :premises (@p38) :args ((or @t39 @t51 @t53 @t54 (not @t55)))) % 158.23/158.48 (step @p40 :rule chain_m_resolution :premises (@p39 @p13 @p37 @p26 @p36) :args (@t51 @t37 (@list @t22 @t52 @t38 @t55))) % 158.23/158.48 (step @p41 :rule instantiate :premises (@p9) :args (@t42)) % 158.23/158.48 (step @p42 :rule cnf_or_pos :args (@t59)) % 158.23/158.48 (step @p43 :rule reordering :premises (@p42) :args ((or @t58 @t56 (not @t59)))) % 158.23/158.48 (step @p44 :rule instantiate :premises (@p10) :args ((@list tptp.a tptp.c tptp.d))) % 158.23/158.48 (step @p45 :rule cnf_or_pos :args (@t63)) % 158.23/158.48 (step @p46 :rule reordering :premises (@p45) :args ((or @t26 @t60 @t58 @t62 (not @t63)))) % 158.23/158.48 (step @p47 :rule instantiate :premises (@p10) :args ((@list tptp.b @t23 tptp.c))) % 158.23/158.48 (step @p48 :rule cnf_or_pos :args (@t65)) % 158.23/158.48 (step @p49 :rule reordering :premises (@p48) :args ((or @t39 @t33 @t64 @t61 (not @t65)))) % 158.23/158.48 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p14 @p13 @p46 @p44 @p16 @p15 @p43 @p41) :args (@t58 (@list false false false true false true false false false) (@list @t65 @t24 @t22 @t61 @t63 @t26 @t25 @t56 @t59))) % 158.23/158.48 (step @p51 :rule cnf_or_pos :args (@t70)) % 158.23/158.48 (step @p52 :rule reordering :premises (@p51) :args ((or @t57 @t69 @t68 @t66 (not @t70)))) % 158.23/158.48 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p40 @p35 @p28) :args (@t68 @t71 (@list @t57 @t51 @t43 @t70))) % 158.23/158.48 (step @p54 :rule cnf_or_pos :args (@t72)) % 158.23/158.48 (step @p55 :rule reordering :premises (@p54) :args ((or @t64 @t67 (not @t72)))) % 158.23/158.48 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p27) :args (@t64 @t73 (@list @t67 @t72))) % 158.23/158.48 (step @p57 :rule instantiate :premises (@p12) :args (@t74)) % 158.23/158.48 (step @p58 :rule cnf_or_pos :args (@t77)) % 158.23/158.48 (step @p59 :rule reordering :premises (@p58) :args ((or @t56 @t61 @t76 (not @t77)))) % 158.23/158.48 (step @p60 :rule instantiate :premises (@p11) :args (@t74)) % 158.23/158.48 (step @p61 :rule cnf_or_pos :args (@t79)) % 158.23/158.48 (step @p62 :rule reordering :premises (@p61) :args ((or @t56 @t61 @t78 (not @t79)))) % 158.23/158.48 (step @p63 :rule instantiate :premises (@p8) :args ((@list tptp.a @t23 tptp.identity @t75 tptp.c tptp.d))) % 158.23/158.48 (step @p64 :rule cnf_or_pos :args (@t82)) % 158.23/158.48 (step @p65 :rule reordering :premises (@p64) :args ((or @t60 @t49 @t81 @t80 (not @t82)))) % 158.23/158.48 (step @p66 :rule instantiate :premises (@p10) :args ((@list tptp.identity @t75 tptp.d))) % 158.23/158.48 (step @p67 :rule cnf_or_pos :args (@t85)) % 158.23/158.48 (step @p68 :rule reordering :premises (@p67) :args ((or @t26 @t69 @t84 @t83 (not @t85)))) % 158.23/158.48 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p40 @p16 @p65 @p63 @p32 @p15 @p62 @p60 @p56 @p59 @p57 @p56) :args (@t61 (@list false false true false false false false false false true false false true) (@list @t85 @t51 @t26 @t80 @t82 @t48 @t25 @t78 @t79 @t56 @t76 @t77 @t56))) % 158.23/158.48 (step @p70 :rule cnf_or_pos :args (@t87)) % 158.23/158.48 (step @p71 :rule reordering :premises (@p70) :args ((or @t56 @t62 @t54 @t86 @t88))) % 158.23/158.48 (step @p72 :rule chain_m_resolution :premises (@p71 @p56 @p69 @p26 @p22) :args (@t88 @t71 (@list @t56 @t61 @t38 @t30))) % 158.23/158.48 (assume-push @p79 @t19) % 158.23/158.48 (step @p74 :rule instantiate :premises (@p10) :args ((@list @t27 tptp.c @t23))) % 158.23/158.48 (step-pop @p80 :rule scope :premises (@p74)) % 158.23/158.48 (step @p75 :rule process_scope :premises (@p80) :args (@t87)) % 158.23/158.48 (step @p77 :rule implies_elim :premises (@p75)) % 158.23/158.48 (step @p78 false :rule chain_m_resolution :premises (@p77 @p72 @p10) :args (false @t73 (@list @t87 @t19))) % 158.23/158.48 ) % 158.23/158.48 % SZS output end Proof % 158.23/158.48 % cvc5 exiting %------------------------------------------------------------------------------