%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP013-1 : 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 : n025.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 08:19:35 AM UTC 2026 % Result : Unsatisfiable 0.52s 0.71s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP013-1 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.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 00:40:16 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.71 % SZS status Unsatisfiable % 0.52/0.71 % SZS output start Proof % 0.52/0.71 ( % 0.52/0.71 (declare-sort $$unsorted 0) % 0.52/0.71 (declare-const tptp.a $$unsorted) % 0.52/0.71 (declare-const tptp.b $$unsorted) % 0.52/0.71 (declare-const tptp.c $$unsorted) % 0.52/0.71 (declare-const tptp.d $$unsorted) % 0.52/0.71 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.identity $$unsorted) % 0.52/0.71 (define @t1 () (@var "X" $$unsorted)) % 0.52/0.71 (define @t2 () (@list @t1)) % 0.52/0.71 (define @t3 () (forall @t2 (tptp.product tptp.identity @t1 @t1))) % 0.52/0.71 (define @t4 () (tptp.inverse @t1)) % 0.52/0.71 (define @t5 () (@var "Y" $$unsorted)) % 0.52/0.71 (define @t6 () (@var "W" $$unsorted)) % 0.52/0.71 (define @t7 () (@var "Z" $$unsorted)) % 0.52/0.71 (define @t8 () (@var "V" $$unsorted)) % 0.52/0.71 (define @t9 () (tptp.product @t1 @t8 @t6)) % 0.52/0.71 (define @t10 () (@var "U" $$unsorted)) % 0.52/0.71 (define @t11 () (tptp.product @t10 @t7 @t6)) % 0.52/0.71 (define @t12 () (not (tptp.product @t5 @t7 @t8))) % 0.52/0.71 (define @t13 () (not (tptp.product @t1 @t5 @t10))) % 0.52/0.71 (define @t14 () (@list @t1 @t5 @t10 @t7 @t8 @t6)) % 0.52/0.71 (define @t15 () (@var "A" $$unsorted)) % 0.52/0.71 (define @t16 () (tptp.product tptp.a tptp.b tptp.c)) % 0.52/0.71 (define @t17 () (tptp.inverse tptp.b)) % 0.52/0.71 (define @t18 () (tptp.inverse tptp.a)) % 0.52/0.71 (define @t19 () (tptp.product @t18 @t17 tptp.d)) % 0.52/0.71 (define @t20 () (@var "B" $$unsorted)) % 0.52/0.71 (define @t21 () (@var "C" $$unsorted)) % 0.52/0.71 (define @t22 () (tptp.product tptp.c tptp.d tptp.identity)) % 0.52/0.71 (define @t23 () (tptp.inverse tptp.d)) % 0.52/0.71 (define @t24 () (tptp.inverse @t23)) % 0.52/0.71 (define @t25 () (tptp.product @t18 tptp.identity tptp.a)) % 0.52/0.71 (define @t26 () (tptp.product (tptp.inverse @t18) @t18 tptp.identity)) % 0.52/0.71 (define @t27 () (not @t26)) % 0.52/0.71 (define @t28 () (or @t27 @t25)) % 0.52/0.71 (define @t29 () (@list false false)) % 0.52/0.71 (define @t30 () (tptp.inverse tptp.identity)) % 0.52/0.71 (define @t31 () (tptp.product @t23 tptp.identity tptp.d)) % 0.52/0.71 (define @t32 () (tptp.product @t24 @t23 tptp.identity)) % 0.52/0.71 (define @t33 () (not @t32)) % 0.52/0.71 (define @t34 () (or @t33 @t31)) % 0.52/0.71 (define @t35 () (tptp.inverse tptp.c)) % 0.52/0.71 (define @t36 () (tptp.product tptp.identity tptp.identity @t30)) % 0.52/0.71 (define @t37 () (tptp.product @t30 (tptp.inverse @t30) tptp.identity)) % 0.52/0.71 (define @t38 () (not @t37)) % 0.52/0.71 (define @t39 () (or @t38 @t36)) % 0.52/0.71 (define @t40 () (tptp.product @t35 tptp.identity tptp.c)) % 0.52/0.71 (define @t41 () (tptp.product (tptp.inverse @t35) @t35 tptp.identity)) % 0.52/0.71 (define @t42 () (not @t41)) % 0.52/0.71 (define @t43 () (or @t42 @t40)) % 0.52/0.71 (define @t44 () (tptp.product @t35 @t30 tptp.d)) % 0.52/0.71 (define @t45 () (not @t44)) % 0.52/0.71 (define @t46 () (or @t45 @t22)) % 0.52/0.71 (define @t47 () (@list true false)) % 0.52/0.71 (define @t48 () (tptp.product tptp.c tptp.identity tptp.d)) % 0.52/0.71 (define @t49 () (not @t48)) % 0.52/0.71 (define @t50 () (not @t36)) % 0.52/0.71 (define @t51 () (not @t40)) % 0.52/0.71 (define @t52 () (or @t51 @t50 @t49 @t44)) % 0.52/0.71 (define @t53 () (@list tptp.identity)) % 0.52/0.71 (define @t54 () (not @t31)) % 0.52/0.71 (define @t55 () (tptp.product @t30 tptp.identity tptp.identity)) % 0.52/0.71 (define @t56 () (not @t55)) % 0.52/0.71 (define @t57 () (tptp.product tptp.c @t30 @t23)) % 0.52/0.71 (define @t58 () (not @t57)) % 0.52/0.71 (define @t59 () (or @t58 @t56 @t54 @t48)) % 0.52/0.71 (define @t60 () (@list false true false false)) % 0.52/0.71 (define @t61 () (tptp.product tptp.a tptp.d tptp.b)) % 0.52/0.71 (define @t62 () (not @t19)) % 0.52/0.71 (define @t63 () (or @t62 @t61)) % 0.52/0.71 (define @t64 () (tptp.product tptp.identity @t17 tptp.b)) % 0.52/0.71 (define @t65 () (not @t61)) % 0.52/0.71 (define @t66 () (tptp.product tptp.a @t18 tptp.identity)) % 0.52/0.71 (define @t67 () (not @t66)) % 0.52/0.71 (define @t68 () (or @t67 @t62 @t65 @t64)) % 0.52/0.71 (define @t69 () (@list false false false false)) % 0.52/0.71 (define @t70 () (@list tptp.b)) % 0.52/0.71 (define @t71 () (tptp.product @t17 tptp.identity tptp.b)) % 0.52/0.71 (define @t72 () (not @t64)) % 0.52/0.71 (define @t73 () (tptp.product tptp.b @t17 tptp.identity)) % 0.52/0.71 (define @t74 () (not @t73)) % 0.52/0.71 (define @t75 () (tptp.product @t17 tptp.b tptp.identity)) % 0.52/0.71 (define @t76 () (not @t75)) % 0.52/0.71 (define @t77 () (or @t76 @t74 @t72 @t71)) % 0.52/0.71 (define @t78 () (tptp.product tptp.b @t30 tptp.b)) % 0.52/0.71 (define @t79 () (not @t71)) % 0.52/0.71 (define @t80 () (tptp.product tptp.identity @t30 tptp.identity)) % 0.52/0.71 (define @t81 () (not @t80)) % 0.52/0.71 (define @t82 () (or @t79 @t81 @t79 @t78)) % 0.52/0.71 (define @t83 () (@list false false false)) % 0.52/0.71 (define @t84 () (tptp.product tptp.a tptp.b @t23)) % 0.52/0.71 (define @t85 () (not @t84)) % 0.52/0.71 (define @t86 () (not @t78)) % 0.52/0.71 (define @t87 () (not @t16)) % 0.52/0.71 (define @t88 () (or @t87 @t86 @t85 @t57)) % 0.52/0.71 (define @t89 () (tptp.product @t18 @t24 tptp.b)) % 0.52/0.71 (define @t90 () (not @t89)) % 0.52/0.71 (define @t91 () (or @t90 @t84)) % 0.52/0.71 (define @t92 () (not (tptp.product tptp.identity tptp.d @t24))) % 0.52/0.71 (define @t93 () (not @t25)) % 0.52/0.71 (define @t94 () (or @t93 @t92 @t65 @t89)) % 0.52/0.71 (define @t95 () (@list @t24)) % 0.52/0.71 (define @t96 () (tptp.product @t23 tptp.identity @t24)) % 0.52/0.71 (define @t97 () (tptp.product @t24 (tptp.inverse @t24) tptp.identity)) % 0.52/0.71 (define @t98 () (not @t97)) % 0.52/0.71 (define @t99 () (or @t98 @t96)) % 0.52/0.71 (define @t100 () (= tptp.d @t24)) % 0.52/0.71 (define @t101 () (not @t96)) % 0.52/0.71 (define @t102 () (or @t54 @t101 @t100)) % 0.52/0.71 (define @t103 () (tptp.product tptp.identity @t24 @t24)) % 0.52/0.71 (assume @p1 @t3) % 0.52/0.71 (assume @p2 (forall @t2 (tptp.product @t1 tptp.identity @t1))) % 0.52/0.71 (assume @p3 (forall @t2 (tptp.product @t4 @t1 tptp.identity))) % 0.52/0.71 (assume @p4 (forall @t2 (tptp.product @t1 @t4 tptp.identity))) % 0.52/0.71 (assume @p5 (forall (@list @t1 @t5) (tptp.product @t1 @t5 (tptp.multiply @t1 @t5)))) % 0.52/0.71 (assume @p6 (forall (@list @t1 @t5 @t7 @t6) (or (not (tptp.product @t1 @t5 @t7)) (not (tptp.product @t1 @t5 @t6)) (= @t7 @t6)))) % 0.52/0.71 (assume @p7 (forall @t14 (or @t13 @t12 (not @t11) @t9))) % 0.52/0.71 (assume @p8 (forall @t14 (or @t13 @t12 (not @t9) @t11))) % 0.52/0.71 (assume @p9 (forall (@list @t15) (tptp.product @t15 @t15 tptp.identity))) % 0.52/0.71 (assume @p10 @t16) % 0.52/0.71 (assume @p11 @t19) % 0.52/0.71 (assume @p12 (forall (@list @t15 @t20 @t21) (or (not (tptp.product (tptp.inverse @t15) (tptp.inverse @t20) @t21)) (tptp.product @t15 @t21 @t20)))) % 0.52/0.71 (assume @p13 (not @t22)) % 0.52/0.71 (step @p14 :rule instantiate :premises (@p7) :args ((@list @t18 tptp.identity tptp.a tptp.d @t24 tptp.b))) % 0.52/0.71 (step @p15 :rule instantiate :premises (@p12) :args ((@list @t18 tptp.a tptp.identity))) % 0.52/0.71 (step @p16 :rule instantiate :premises (@p3) :args ((@list @t18))) % 0.52/0.71 (step @p17 :rule cnf_or_pos :args (@t28)) % 0.52/0.71 (step @p18 :rule reordering :premises (@p17) :args ((or @t27 @t25 (not @t28)))) % 0.52/0.71 (step @p19 :rule chain_m_resolution :premises (@p18 @p16 @p15) :args (@t25 @t29 (@list @t26 @t28))) % 0.52/0.71 (step @p20 :rule instantiate :premises (@p12) :args ((@list tptp.a @t23 tptp.b))) % 0.52/0.71 (step @p21 :rule instantiate :premises (@p8) :args ((@list tptp.a tptp.b tptp.c @t30 tptp.b @t23))) % 0.52/0.71 (step @p22 :rule instantiate :premises (@p7) :args ((@list tptp.c @t30 @t23 tptp.identity tptp.identity tptp.d))) % 0.52/0.71 (step @p23 :rule instantiate :premises (@p12) :args ((@list @t23 tptp.d tptp.identity))) % 0.52/0.71 (step @p24 :rule instantiate :premises (@p3) :args ((@list @t23))) % 0.52/0.71 (step @p25 :rule cnf_or_pos :args (@t34)) % 0.52/0.71 (step @p26 :rule reordering :premises (@p25) :args ((or @t33 @t31 (not @t34)))) % 0.52/0.71 (step @p27 :rule chain_m_resolution :premises (@p26 @p24 @p23) :args (@t31 @t29 (@list @t32 @t34))) % 0.52/0.71 (step @p28 :rule instantiate :premises (@p7) :args ((@list @t35 tptp.identity tptp.c tptp.identity @t30 tptp.d))) % 0.52/0.71 (step @p29 :rule instantiate :premises (@p12) :args ((@list tptp.identity @t30 tptp.identity))) % 0.52/0.71 (step @p30 :rule instantiate :premises (@p4) :args ((@list @t30))) % 0.52/0.71 (step @p31 :rule cnf_or_pos :args (@t39)) % 0.52/0.71 (step @p32 :rule reordering :premises (@p31) :args ((or @t38 @t36 (not @t39)))) % 0.52/0.71 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p29) :args (@t36 @t29 (@list @t37 @t39))) % 0.52/0.71 (step @p34 :rule instantiate :premises (@p12) :args ((@list @t35 tptp.c tptp.identity))) % 0.52/0.71 (step @p35 :rule instantiate :premises (@p3) :args ((@list @t35))) % 0.52/0.71 (step @p36 :rule cnf_or_pos :args (@t43)) % 0.52/0.71 (step @p37 :rule reordering :premises (@p36) :args ((or @t42 @t40 (not @t43)))) % 0.52/0.71 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p34) :args (@t40 @t29 (@list @t41 @t43))) % 0.52/0.71 (step @p39 :rule instantiate :premises (@p12) :args ((@list tptp.c tptp.identity tptp.d))) % 0.52/0.71 (step @p40 :rule cnf_or_pos :args (@t46)) % 0.52/0.71 (step @p41 :rule reordering :premises (@p40) :args ((or @t22 @t45 (not @t46)))) % 0.52/0.71 (step @p42 :rule chain_m_resolution :premises (@p41 @p13 @p39) :args (@t45 @t47 (@list @t22 @t46))) % 0.52/0.71 (step @p43 :rule cnf_or_pos :args (@t52)) % 0.52/0.71 (step @p44 :rule reordering :premises (@p43) :args ((or @t44 @t51 @t50 @t49 (not @t52)))) % 0.52/0.71 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p38 @p33 @p28) :args (@t49 (@list true false false false) (@list @t44 @t40 @t36 @t52))) % 0.52/0.71 (step @p46 :rule instantiate :premises (@p3) :args (@t53)) % 0.52/0.71 (step @p47 :rule cnf_or_pos :args (@t59)) % 0.52/0.71 (step @p48 :rule reordering :premises (@p47) :args ((or @t56 @t48 @t54 @t58 (not @t59)))) % 0.52/0.71 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p45 @p27 @p22) :args (@t58 @t60 (@list @t55 @t48 @t31 @t59))) % 0.52/0.71 (step @p50 :rule instantiate :premises (@p8) :args ((@list @t17 tptp.identity tptp.b @t30 tptp.identity tptp.b))) % 0.52/0.71 (step @p51 :rule instantiate :premises (@p7) :args ((@list @t17 tptp.b tptp.identity @t17 tptp.identity tptp.b))) % 0.52/0.71 (step @p52 :rule instantiate :premises (@p8) :args ((@list tptp.a @t18 tptp.identity @t17 tptp.d tptp.b))) % 0.52/0.71 (step @p53 :rule instantiate :premises (@p12) :args ((@list tptp.a tptp.b tptp.d))) % 0.52/0.71 (step @p54 :rule cnf_or_pos :args (@t63)) % 0.52/0.71 (step @p55 :rule reordering :premises (@p54) :args ((or @t62 @t61 (not @t63)))) % 0.52/0.71 (step @p56 :rule chain_m_resolution :premises (@p55 @p11 @p53) :args (@t61 @t29 (@list @t19 @t63))) % 0.52/0.71 (step @p57 :rule instantiate :premises (@p4) :args ((@list tptp.a))) % 0.52/0.71 (step @p58 :rule cnf_or_pos :args (@t68)) % 0.52/0.71 (step @p59 :rule reordering :premises (@p58) :args ((or @t62 @t67 @t65 @t64 (not @t68)))) % 0.52/0.71 (step @p60 :rule chain_m_resolution :premises (@p59 @p11 @p57 @p56 @p52) :args (@t64 @t69 (@list @t19 @t66 @t61 @t68))) % 0.52/0.71 (step @p61 :rule instantiate :premises (@p4) :args (@t70)) % 0.52/0.71 (step @p62 :rule instantiate :premises (@p3) :args (@t70)) % 0.52/0.71 (step @p63 :rule cnf_or_pos :args (@t77)) % 0.52/0.71 (step @p64 :rule reordering :premises (@p63) :args ((or @t76 @t74 @t72 @t71 (not @t77)))) % 0.52/0.71 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p61 @p60 @p51) :args (@t71 @t69 (@list @t75 @t73 @t64 @t77))) % 0.52/0.71 (step @p66 :rule instantiate :premises (@p4) :args (@t53)) % 0.52/0.71 (step @p67 :rule cnf_or_pos :args (@t82)) % 0.52/0.71 (step @p68 :rule factoring :premises (@p67)) % 0.52/0.71 (step @p69 :rule reordering :premises (@p68) :args ((or @t81 @t79 @t78 (not @t82)))) % 0.52/0.71 (step @p70 :rule chain_m_resolution :premises (@p69 @p66 @p65 @p50) :args (@t78 @t83 (@list @t80 @t71 @t82))) % 0.52/0.71 (step @p71 :rule cnf_or_pos :args (@t88)) % 0.52/0.71 (step @p72 :rule reordering :premises (@p71) :args ((or @t87 @t86 @t57 @t85 (not @t88)))) % 0.52/0.71 (step @p73 :rule chain_m_resolution :premises (@p72 @p10 @p70 @p49 @p21) :args (@t85 (@list false false true false) (@list @t16 @t78 @t57 @t88))) % 0.52/0.71 (step @p74 :rule cnf_or_pos :args (@t91)) % 0.52/0.71 (step @p75 :rule reordering :premises (@p74) :args ((or @t84 @t90 (not @t91)))) % 0.52/0.71 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p20) :args (@t90 @t47 (@list @t84 @t91))) % 0.52/0.71 (step @p77 :rule cnf_or_pos :args (@t94)) % 0.52/0.71 (step @p78 :rule reordering :premises (@p77) :args ((or @t65 @t89 @t93 @t92 (not @t94)))) % 0.52/0.71 (step @p79 :rule chain_m_resolution :premises (@p78 @p56 @p76 @p19 @p14) :args (@t92 @t60 (@list @t61 @t89 @t25 @t94))) % 0.52/0.71 (step @p80 :rule false_intro :premises (@p79)) % 0.52/0.71 (step @p81 :rule refl :args (@t24)) % 0.52/0.71 (step @p82 :rule instantiate :premises (@p6) :args ((@list @t23 tptp.identity tptp.d @t24))) % 0.52/0.71 (step @p83 :rule instantiate :premises (@p12) :args ((@list @t23 @t24 tptp.identity))) % 0.52/0.71 (step @p84 :rule instantiate :premises (@p4) :args (@t95)) % 0.52/0.71 (step @p85 :rule cnf_or_pos :args (@t99)) % 0.52/0.71 (step @p86 :rule reordering :premises (@p85) :args ((or @t98 @t96 (not @t99)))) % 0.52/0.71 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p83) :args (@t96 @t29 (@list @t97 @t99))) % 0.52/0.71 (step @p88 :rule cnf_or_pos :args (@t102)) % 0.52/0.71 (step @p89 :rule reordering :premises (@p88) :args ((or @t54 @t101 @t100 (not @t102)))) % 0.52/0.71 (step @p90 :rule chain_m_resolution :premises (@p89 @p27 @p87 @p82) :args (@t100 @t83 (@list @t31 @t96 @t102))) % 0.52/0.71 (step @p91 :rule symm :premises (@p90)) % 0.52/0.71 (step @p92 :rule refl :args (tptp.identity)) % 0.52/0.71 (step @p93 :rule cong :premises (@p92 @p91 @p81) :args (@t103)) % 0.52/0.71 (step @p94 :rule trans :premises (@p93 @p80)) % 0.52/0.71 (step @p95 :rule false_elim :premises (@p94)) % 0.52/0.71 (assume-push @p102 @t3) % 0.52/0.71 (step @p97 :rule instantiate :premises (@p1) :args (@t95)) % 0.52/0.71 (step-pop @p103 :rule scope :premises (@p97)) % 0.52/0.71 (step @p98 :rule process_scope :premises (@p103) :args (@t103)) % 0.52/0.71 (step @p100 :rule implies_elim :premises (@p98)) % 0.52/0.71 (step @p101 false :rule chain_m_resolution :premises (@p100 @p95 @p1) :args (false @t47 (@list @t103 @t3))) % 0.52/0.71 ) % 0.52/0.71 % SZS output end Proof % 0.52/0.72 % cvc5 exiting %------------------------------------------------------------------------------