%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP040-3 : 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 : n013.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 157.83s 158.12s % Output : Proof 157.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP040-3 : 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 % 0.17/0.34 % Computer : n013.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 00:41:30 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.32/15.56 --- 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... % 27.43/27.61 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.42/33.67 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.52/63.72 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.52/78.75 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.52/111.79 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 126.93/127.18 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.02/157.24 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 157.83/158.12 % SZS status Unsatisfiable % 157.83/158.12 % SZS output start Proof % 157.93/158.12 ( % 157.93/158.12 (declare-sort $$unsorted 0) % 157.93/158.12 (declare-const tptp.c $$unsorted) % 157.93/158.12 (declare-const tptp.d $$unsorted) % 157.93/158.12 (declare-const tptp.b $$unsorted) % 157.93/158.12 (declare-const tptp.a $$unsorted) % 157.93/158.12 (declare-const tptp.element_in_O2 (-> $$unsorted $$unsorted $$unsorted)) % 157.93/158.12 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 157.93/158.12 (declare-const tptp.subgroup_member (-> $$unsorted Bool)) % 157.93/158.12 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 157.93/158.12 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 157.93/158.12 (declare-const tptp.identity $$unsorted) % 157.93/158.12 (define @t1 () (@var "X" $$unsorted)) % 157.93/158.12 (define @t2 () (@list @t1)) % 157.93/158.12 (define @t3 () (tptp.inverse @t1)) % 157.93/158.12 (define @t4 () (@var "Y" $$unsorted)) % 157.93/158.12 (define @t5 () (@var "W" $$unsorted)) % 157.93/158.12 (define @t6 () (@var "Z" $$unsorted)) % 157.93/158.12 (define @t7 () (@var "V" $$unsorted)) % 157.93/158.12 (define @t8 () (tptp.product @t1 @t7 @t5)) % 157.93/158.12 (define @t9 () (@var "U" $$unsorted)) % 157.93/158.12 (define @t10 () (tptp.product @t9 @t6 @t5)) % 157.93/158.12 (define @t11 () (not (tptp.product @t4 @t6 @t7))) % 157.93/158.12 (define @t12 () (not (tptp.product @t1 @t4 @t9))) % 157.93/158.12 (define @t13 () (@list @t1 @t4 @t9 @t6 @t7 @t5)) % 157.93/158.12 (define @t14 () (@var "C" $$unsorted)) % 157.93/158.12 (define @t15 () (@var "B" $$unsorted)) % 157.93/158.12 (define @t16 () (@var "A" $$unsorted)) % 157.93/158.12 (define @t17 () (tptp.subgroup_member @t15)) % 157.93/158.12 (define @t18 () (tptp.subgroup_member @t16)) % 157.93/158.12 (define @t19 () (tptp.element_in_O2 @t16 @t15)) % 157.93/158.12 (define @t20 () (@list @t16 @t15)) % 157.93/158.12 (define @t21 () (tptp.subgroup_member tptp.a)) % 157.93/158.12 (define @t22 () (tptp.subgroup_member tptp.b)) % 157.93/158.12 (define @t23 () (tptp.subgroup_member tptp.d)) % 157.93/158.12 (define @t24 () (tptp.inverse tptp.a)) % 157.93/158.12 (define @t25 () (tptp.product tptp.b @t24 tptp.c)) % 157.93/158.12 (define @t26 () (tptp.product tptp.a tptp.c tptp.d)) % 157.93/158.12 (define @t27 () (tptp.inverse (tptp.inverse @t16))) % 157.93/158.12 (define @t28 () (forall (@list @t16) (= @t27 @t16))) % 157.93/158.12 (define @t29 () (tptp.inverse tptp.c)) % 157.93/158.12 (define @t30 () (tptp.inverse tptp.b)) % 157.93/158.12 (define @t31 () (@list tptp.b)) % 157.93/158.12 (define @t32 () (tptp.product @t30 tptp.c @t24)) % 157.93/158.12 (define @t33 () (tptp.product tptp.identity @t24 @t24)) % 157.93/158.12 (define @t34 () (not @t33)) % 157.93/158.12 (define @t35 () (not @t25)) % 157.93/158.12 (define @t36 () (tptp.product @t30 tptp.b tptp.identity)) % 157.93/158.12 (define @t37 () (not @t36)) % 157.93/158.12 (define @t38 () (or @t37 @t35 @t34 @t32)) % 157.93/158.12 (define @t39 () (@list false false false false)) % 157.93/158.12 (define @t40 () (@list tptp.c)) % 157.93/158.12 (define @t41 () (tptp.product @t30 (tptp.inverse @t29) @t24)) % 157.93/158.12 (define @t42 () (tptp.subgroup_member tptp.identity)) % 157.93/158.12 (define @t43 () (tptp.product tptp.b @t30 tptp.identity)) % 157.93/158.12 (define @t44 () (not @t43)) % 157.93/158.12 (define @t45 () (not @t22)) % 157.93/158.12 (define @t46 () (or @t45 @t45 @t44 @t42)) % 157.93/158.12 (define @t47 () (@list false false false)) % 157.93/158.12 (define @t48 () (tptp.subgroup_member @t30)) % 157.93/158.12 (define @t49 () (tptp.product tptp.identity @t30 @t30)) % 157.93/158.12 (define @t50 () (not @t49)) % 157.93/158.12 (define @t51 () (not @t42)) % 157.93/158.12 (define @t52 () (or @t51 @t45 @t50 @t48)) % 157.93/158.12 (define @t53 () (tptp.multiply tptp.identity tptp.a)) % 157.93/158.12 (define @t54 () (@list tptp.a)) % 157.93/158.12 (define @t55 () (= tptp.a @t53)) % 157.93/158.12 (define @t56 () (tptp.product tptp.identity tptp.a @t53)) % 157.93/158.12 (define @t57 () (not @t56)) % 157.93/158.12 (define @t58 () (tptp.product tptp.identity tptp.a tptp.a)) % 157.93/158.12 (define @t59 () (not @t58)) % 157.93/158.12 (define @t60 () (or @t59 @t57 @t55)) % 157.93/158.12 (define @t61 () (tptp.subgroup_member @t53)) % 157.93/158.12 (define @t62 () (tptp.product tptp.identity (tptp.inverse @t24) @t53)) % 157.93/158.12 (define @t63 () (not @t62)) % 157.93/158.12 (define @t64 () (tptp.subgroup_member @t24)) % 157.93/158.12 (define @t65 () (not @t64)) % 157.93/158.12 (define @t66 () (or @t51 @t65 @t63 @t61)) % 157.93/158.12 (define @t67 () (not @t41)) % 157.93/158.12 (define @t68 () (tptp.subgroup_member @t29)) % 157.93/158.12 (define @t69 () (not @t68)) % 157.93/158.12 (define @t70 () (not @t48)) % 157.93/158.12 (define @t71 () (or @t70 @t69 @t67 @t64)) % 157.93/158.12 (define @t72 () (tptp.product tptp.identity @t29 @t29)) % 157.93/158.12 (define @t73 () (not @t72)) % 157.93/158.12 (define @t74 () (not (tptp.subgroup_member tptp.c))) % 157.93/158.12 (define @t75 () (or @t51 @t74 @t73 @t68)) % 157.93/158.12 (define @t76 () (tptp.element_in_O2 tptp.a tptp.d)) % 157.93/158.12 (define @t77 () (tptp.product @t24 tptp.d tptp.c)) % 157.93/158.12 (define @t78 () (tptp.product tptp.identity tptp.c tptp.c)) % 157.93/158.12 (define @t79 () (not @t78)) % 157.93/158.12 (define @t80 () (not @t26)) % 157.93/158.12 (define @t81 () (tptp.product @t24 tptp.a tptp.identity)) % 157.93/158.12 (define @t82 () (not @t81)) % 157.93/158.12 (define @t83 () (or @t82 @t80 @t79 @t77)) % 157.93/158.12 (define @t84 () (@list tptp.a tptp.d)) % 157.93/158.12 (define @t85 () (tptp.product tptp.a @t76 tptp.d)) % 157.93/158.12 (define @t86 () (or @t85 @t23 @t21)) % 157.93/158.12 (define @t87 () (@list true true false)) % 157.93/158.12 (define @t88 () (tptp.product tptp.identity @t76 tptp.c)) % 157.93/158.12 (define @t89 () (not @t77)) % 157.93/158.12 (define @t90 () (not @t85)) % 157.93/158.12 (define @t91 () (or @t82 @t90 @t89 @t88)) % 157.93/158.12 (define @t92 () (= tptp.c @t76)) % 157.93/158.12 (define @t93 () (tptp.product tptp.identity @t76 @t76)) % 157.93/158.12 (define @t94 () (not @t93)) % 157.93/158.12 (define @t95 () (not @t88)) % 157.93/158.12 (define @t96 () (or @t95 @t94 @t92)) % 157.93/158.12 (define @t97 () (tptp.subgroup_member @t76)) % 157.93/158.12 (define @t98 () (or @t97 @t23 @t21)) % 157.93/158.12 (assume @p1 (forall @t2 (tptp.product tptp.identity @t1 @t1))) % 157.93/158.12 (assume @p2 (forall @t2 (tptp.product @t1 tptp.identity @t1))) % 157.93/158.12 (assume @p3 (forall @t2 (tptp.product @t3 @t1 tptp.identity))) % 157.93/158.12 (assume @p4 (forall @t2 (tptp.product @t1 @t3 tptp.identity))) % 157.93/158.12 (assume @p5 (forall (@list @t1 @t4) (tptp.product @t1 @t4 (tptp.multiply @t1 @t4)))) % 157.93/158.12 (assume @p6 (forall (@list @t1 @t4 @t6 @t5) (or (not (tptp.product @t1 @t4 @t6)) (not (tptp.product @t1 @t4 @t5)) (= @t6 @t5)))) % 157.93/158.12 (assume @p7 (forall @t13 (or @t12 @t11 (not @t10) @t8))) % 157.93/158.12 (assume @p8 (forall @t13 (or @t12 @t11 (not @t8) @t10))) % 157.93/158.12 (assume @p9 (forall (@list @t16 @t15 @t14) (or (not @t18) (not @t17) (not (tptp.product @t16 (tptp.inverse @t15) @t14)) (tptp.subgroup_member @t14)))) % 157.93/158.12 (assume @p10 (forall @t20 (or (tptp.subgroup_member @t19) @t17 @t18))) % 157.93/158.12 (assume @p11 (forall @t20 (or (tptp.product @t16 @t19 @t15) @t17 @t18))) % 157.93/158.12 (assume @p12 (not @t21)) % 157.93/158.12 (assume @p13 @t22) % 157.93/158.12 (assume @p14 (not @t23)) % 157.93/158.12 (assume @p15 @t25) % 157.93/158.12 (assume @p16 @t26) % 157.93/158.12 (assume @p17 @t28) % 157.93/158.12 (step @p18 :rule evaluate :args ((= true false))) % 157.93/158.12 (step @p19 :rule instantiate :premises (@p9) :args ((@list tptp.identity tptp.c @t29))) % 157.93/158.12 (step @p20 :rule instantiate :premises (@p1) :args ((@list @t29))) % 157.93/158.12 (step @p21 :rule instantiate :premises (@p9) :args ((@list @t30 @t29 @t24))) % 157.93/158.12 (step @p22 :rule instantiate :premises (@p7) :args ((@list @t30 tptp.b tptp.identity @t24 tptp.c @t24))) % 157.93/158.12 (step @p23 :rule instantiate :premises (@p1) :args ((@list @t24))) % 157.93/158.12 (step @p24 :rule instantiate :premises (@p3) :args (@t31)) % 157.93/158.12 (step @p25 :rule cnf_or_pos :args (@t38)) % 157.93/158.12 (step @p26 :rule reordering :premises (@p25) :args ((or @t35 @t37 @t34 @t32 (not @t38)))) % 157.93/158.12 (step @p27 :rule chain_m_resolution :premises (@p26 @p15 @p24 @p23 @p22) :args (@t32 @t39 (@list @t25 @t36 @t33 @t38))) % 157.93/158.12 (step @p28 :rule true_intro :premises (@p27)) % 157.93/158.12 (step @p29 :rule refl :args (@t24)) % 157.93/158.12 (step @p30 :rule eq-symm :args (@t27 @t16)) % 157.93/158.12 (step @p31 :rule cong :premises (@p30) :args (@t28)) % 157.93/158.12 (step @p32 :rule eq_resolve :premises (@p17 @p31)) % 157.93/158.12 (step @p33 :rule instantiate :premises (@p32) :args (@t40)) % 157.93/158.12 (step @p34 :rule symm :premises (@p33)) % 157.93/158.12 (step @p35 :rule refl :args (@t30)) % 157.93/158.12 (step @p36 :rule cong :premises (@p35 @p34 @p29) :args (@t41)) % 157.93/158.12 (step @p37 :rule trans :premises (@p36 @p28)) % 157.93/158.12 (step @p38 :rule true_elim :premises (@p37)) % 157.93/158.12 (step @p39 :rule instantiate :premises (@p9) :args ((@list tptp.identity tptp.b @t30))) % 157.93/158.12 (step @p40 :rule instantiate :premises (@p1) :args ((@list @t30))) % 157.93/158.12 (step @p41 :rule instantiate :premises (@p9) :args ((@list tptp.b tptp.b tptp.identity))) % 157.93/158.12 (step @p42 :rule instantiate :premises (@p4) :args (@t31)) % 157.93/158.12 (step @p43 :rule cnf_or_pos :args (@t46)) % 157.93/158.12 (step @p44 :rule factoring :premises (@p43)) % 157.93/158.12 (step @p45 :rule reordering :premises (@p44) :args ((or @t45 @t42 @t44 (not @t46)))) % 157.93/158.12 (step @p46 :rule chain_m_resolution :premises (@p45 @p13 @p42 @p41) :args (@t42 @t47 (@list @t22 @t43 @t46))) % 157.93/158.12 (step @p47 :rule cnf_or_pos :args (@t52)) % 157.93/158.12 (step @p48 :rule reordering :premises (@p47) :args ((or @t45 @t51 @t48 @t50 (not @t52)))) % 157.93/158.12 (step @p49 :rule chain_m_resolution :premises (@p48 @p13 @p46 @p40 @p39) :args (@t48 @t39 (@list @t22 @t42 @t49 @t52))) % 157.93/158.12 (step @p50 :rule instantiate :premises (@p9) :args ((@list tptp.identity @t24 @t53))) % 157.93/158.12 (step @p51 :rule false_intro :premises (@p12)) % 157.93/158.12 (step @p52 :rule instantiate :premises (@p6) :args ((@list tptp.identity tptp.a tptp.a @t53))) % 157.93/158.12 (step @p53 :rule instantiate :premises (@p5) :args ((@list tptp.identity tptp.a))) % 157.93/158.12 (step @p54 :rule instantiate :premises (@p1) :args (@t54)) % 157.93/158.12 (step @p55 :rule cnf_or_pos :args (@t60)) % 157.93/158.12 (step @p56 :rule reordering :premises (@p55) :args ((or @t59 @t57 @t55 (not @t60)))) % 157.93/158.12 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p53 @p52) :args (@t55 @t47 (@list @t58 @t56 @t60))) % 157.93/158.12 (step @p58 :rule symm :premises (@p57)) % 157.93/158.12 (step @p59 :rule cong :premises (@p58) :args (@t61)) % 157.93/158.12 (step @p60 :rule trans :premises (@p59 @p51)) % 157.93/158.12 (step @p61 :rule false_elim :premises (@p60)) % 157.93/158.12 (step @p62 :rule true_intro :premises (@p54)) % 157.93/158.12 (step @p63 :rule instantiate :premises (@p32) :args (@t54)) % 157.93/158.12 (step @p64 :rule symm :premises (@p63)) % 157.93/158.12 (step @p65 :rule refl :args (tptp.identity)) % 157.93/158.12 (step @p66 :rule cong :premises (@p65 @p64 @p58) :args (@t62)) % 157.93/158.12 (step @p67 :rule trans :premises (@p66 @p62)) % 157.93/158.12 (step @p68 :rule true_elim :premises (@p67)) % 157.93/158.12 (step @p69 :rule cnf_or_pos :args (@t66)) % 157.93/158.12 (step @p70 :rule reordering :premises (@p69) :args ((or @t51 @t65 @t63 @t61 (not @t66)))) % 157.93/158.12 (step @p71 :rule chain_m_resolution :premises (@p70 @p46 @p68 @p61 @p50) :args (@t65 (@list false false true false) (@list @t42 @t62 @t61 @t66))) % 157.93/158.12 (step @p72 :rule cnf_or_pos :args (@t71)) % 157.93/158.12 (step @p73 :rule reordering :premises (@p72) :args ((or @t64 @t70 @t69 @t67 (not @t71)))) % 157.93/158.12 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p49 @p38 @p21) :args (@t69 (@list true false false false) (@list @t64 @t48 @t41 @t71))) % 157.93/158.12 (step @p75 :rule cnf_or_pos :args (@t75)) % 157.93/158.12 (step @p76 :rule reordering :premises (@p75) :args ((or @t51 @t74 @t68 @t73 (not @t75)))) % 157.93/158.12 (step @p77 :rule chain_m_resolution :premises (@p76 @p46 @p74 @p20 @p19) :args (@t74 (@list false true false false) (@list @t42 @t68 @t72 @t75))) % 157.93/158.12 (step @p78 :rule false_intro :premises (@p77)) % 157.93/158.12 (step @p79 :rule instantiate :premises (@p6) :args ((@list tptp.identity @t76 tptp.c @t76))) % 157.93/158.12 (step @p80 :rule instantiate :premises (@p8) :args ((@list @t24 tptp.a tptp.identity @t76 tptp.d tptp.c))) % 157.93/158.12 (step @p81 :rule instantiate :premises (@p7) :args ((@list @t24 tptp.a tptp.identity tptp.c tptp.d tptp.c))) % 157.93/158.12 (step @p82 :rule instantiate :premises (@p1) :args (@t40)) % 157.93/158.12 (step @p83 :rule instantiate :premises (@p3) :args (@t54)) % 157.93/158.12 (step @p84 :rule cnf_or_pos :args (@t83)) % 157.93/158.12 (step @p85 :rule reordering :premises (@p84) :args ((or @t80 @t82 @t79 @t77 (not @t83)))) % 157.93/158.12 (step @p86 :rule chain_m_resolution :premises (@p85 @p16 @p83 @p82 @p81) :args (@t77 @t39 (@list @t26 @t81 @t78 @t83))) % 157.93/158.12 (step @p87 :rule instantiate :premises (@p11) :args (@t84)) % 157.93/158.12 (step @p88 :rule cnf_or_pos :args (@t86)) % 157.93/158.12 (step @p89 :rule reordering :premises (@p88) :args ((or @t21 @t23 @t85 (not @t86)))) % 157.93/158.12 (step @p90 :rule chain_m_resolution :premises (@p89 @p12 @p14 @p87) :args (@t85 @t87 (@list @t21 @t23 @t86))) % 157.93/158.12 (step @p91 :rule cnf_or_pos :args (@t91)) % 157.93/158.12 (step @p92 :rule reordering :premises (@p91) :args ((or @t82 @t90 @t89 @t88 (not @t91)))) % 157.93/158.12 (step @p93 :rule chain_m_resolution :premises (@p92 @p83 @p90 @p86 @p80) :args (@t88 @t39 (@list @t81 @t85 @t77 @t91))) % 157.93/158.12 (step @p94 :rule instantiate :premises (@p1) :args ((@list @t76))) % 157.93/158.12 (step @p95 :rule cnf_or_pos :args (@t96)) % 157.93/158.12 (step @p96 :rule reordering :premises (@p95) :args ((or @t94 @t95 @t92 (not @t96)))) % 157.93/158.12 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p93 @p79) :args (@t92 @t47 (@list @t93 @t88 @t96))) % 157.93/158.12 (step @p98 :rule symm :premises (@p97)) % 157.93/158.12 (step @p99 :rule cong :premises (@p98) :args (@t97)) % 157.93/158.12 (step @p100 :rule instantiate :premises (@p10) :args (@t84)) % 157.93/158.12 (step @p101 :rule cnf_or_pos :args (@t98)) % 157.93/158.12 (step @p102 :rule reordering :premises (@p101) :args ((or @t21 @t23 @t97 (not @t98)))) % 157.93/158.12 (step @p103 :rule chain_m_resolution :premises (@p102 @p12 @p14 @p100) :args (@t97 @t87 (@list @t21 @t23 @t98))) % 157.93/158.12 (step @p104 :rule true_intro :premises (@p103)) % 157.93/158.12 (step @p105 :rule symm :premises (@p104)) % 157.93/158.12 (step @p106 :rule trans :premises (@p105 @p99 @p78)) % 157.93/158.12 (step @p107 false :rule eq_resolve :premises (@p106 @p18)) % 157.93/158.12 ) % 157.93/158.13 % SZS output end Proof % 157.93/158.13 % cvc5 exiting %------------------------------------------------------------------------------