%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL667+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:54:51 AM UTC 2026
% Result : CounterSatisfiable 1.79s 1.71s
% Output : Saturation 5.70s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u302,negated_conjecture,
( p105(X7)
| ~ r1(sK77,X7) ) ).
cnf(u312,negated_conjecture,
( p203(X6)
| ~ r1(sK77,X6) ) ).
cnf(u372,negated_conjecture,
~ p301(sK77) ).
cnf(u384,negated_conjecture,
~ p302(sK77) ).
cnf(u331,negated_conjecture,
( p304(X3)
| ~ r1(sK77,X3) ) ).
cnf(u338,negated_conjecture,
p501(sK77) ).
cnf(u387,negated_conjecture,
~ p502(sK77) ).
cnf(u393,negated_conjecture,
~ p503(sK77) ).
cnf(u381,negated_conjecture,
~ p601(sK77) ).
cnf(u357,negated_conjecture,
p602(sK77) ).
cnf(u396,negated_conjecture,
~ p603(sK77) ).
cnf(u505,negated_conjecture,
~ p604(sK77) ).
cnf(u528,negated_conjecture,
~ p605(sK77) ).
cnf(u481,negated_conjecture,
r1(sK77,sK55(sK77)) ).
cnf(u451,negated_conjecture,
~ r1(sK77,sK60(sK77)) ).
cnf(u509,negated_conjecture,
r1(sK77,sK48(sK77)) ).
cnf(u513,negated_conjecture,
r1(sK77,sK50(sK77)) ).
cnf(u517,negated_conjecture,
r1(sK77,sK52(sK77)) ).
cnf(u556,negated_conjecture,
r1(sK77,sK59(sK77)) ).
cnf(u659,negated_conjecture,
r1(sK77,sK63(sK77)) ).
cnf(u645,negated_conjecture,
~ r1(sK77,sK64(sK77)) ).
cnf(u735,negated_conjecture,
~ r1(sK77,sK75(sK77)) ).
cnf(u228,axiom,
( ~ sP19(X0)
| ~ p204(sK50(X0))
| ~ p504(X0) ) ).
cnf(u240,axiom,
( ~ sP13(X0)
| ~ p103(sK56(X0))
| ~ p603(X0) ) ).
cnf(u181,axiom,
( sP17(X0)
| ~ sP32(X0) ) ).
cnf(u232,axiom,
( ~ sP17(X0)
| ~ p104(sK52(X0))
| ~ p504(X0) ) ).
cnf(u521,axiom,
( ~ sP32(X0)
| r1(X0,sK45(X0))
| r1(X0,sK46(X0)) ) ).
cnf(u476,axiom,
( ~ p204(sK70(X0))
| r1(X0,sK69(X0))
| ~ sP32(X0) ) ).
cnf(u411,axiom,
( ~ p203(sK54(X0))
| ~ p503(X0)
| ~ sP32(X0) ) ).
cnf(u406,axiom,
( ~ p204(sK49(X0))
| ~ p604(X0)
| ~ sP32(X0) ) ).
cnf(u471,axiom,
( ~ p305(sK65(X0))
| r1(X0,sK66(X0))
| ~ sP32(X0) ) ).
cnf(u430,axiom,
( ~ p604(X0)
| r1(X0,sK51(X0))
| ~ sP32(X0) ) ).
cnf(u442,axiom,
( ~ p303(X0)
| r1(X0,sK55(X0))
| ~ sP32(X0) ) ).
cnf(u257,axiom,
( ~ sP6(X0)
| r1(X0,sK64(X0))
| r1(X0,sK63(X0)) ) ).
cnf(u198,axiom,
( sP29(X0)
| ~ sP32(X0) ) ).
cnf(u653,negated_conjecture,
( r1(X0,sK42(X0))
| r1(X0,sK41(X0))
| ~ r1(sK77,X0) ) ).
cnf(u153,axiom,
( ~ p201(X0)
| ~ p301(X0)
| ~ sP32(X0) ) ).
cnf(u760,negated_conjecture,
( r1(X0,sK45(X0))
| ~ r1(sK77,sK46(X0))
| ~ r1(sK77,X0) ) ).
cnf(u213,axiom,
( ~ sP27(X0)
| r1(X0,sK40(X0))
| ~ p505(X0) ) ).
cnf(u276,axiom,
( ~ sP1(X0)
| ~ p104(sK74(X0))
| r1(X0,sK73(X0)) ) ).
cnf(u172,axiom,
( sP13(X0)
| ~ sP32(X0) ) ).
cnf(u156,axiom,
( ~ p301(X0)
| ~ p501(X0)
| ~ sP32(X0) ) ).
cnf(u216,axiom,
( ~ sP25(X0)
| ~ p105(sK43(X0))
| ~ p605(X0) ) ).
cnf(u415,axiom,
( ~ p103(sK58(X0))
| ~ p303(X0)
| ~ sP32(X0) ) ).
cnf(u239,axiom,
( ~ sP14(X0)
| r1(X0,sK55(X0))
| ~ p303(X0) ) ).
cnf(u251,axiom,
( ~ sP8(X0)
| r1(X0,sK61(X0))
| ~ p302(X0) ) ).
cnf(u746,negated_conjecture,
( r1(X0,sK74(X0))
| r1(X0,sK73(X0))
| ~ r1(sK77,X0) ) ).
cnf(u754,negated_conjecture,
( ~ p505(X0)
| ~ r1(sK77,sK44(X0))
| ~ sP32(X0) ) ).
cnf(u761,negated_conjecture,
( r1(X0,sK65(X0))
| ~ r1(sK77,sK66(X0))
| ~ r1(sK77,X0) ) ).
cnf(u242,axiom,
( ~ sP12(X0)
| ~ p103(sK57(X0))
| ~ p503(X0) ) ).
cnf(u418,axiom,
( ~ p102(sK61(X0))
| ~ p302(X0)
| ~ sP32(X0) ) ).
cnf(u478,axiom,
( ~ p104(sK72(X0))
| r1(X0,sK71(X0))
| ~ sP32(X0) ) ).
cnf(u421,axiom,
( ~ p505(X0)
| r1(X0,sK36(X0))
| ~ sP32(X0) ) ).
cnf(u157,axiom,
( ~ p301(X0)
| ~ p601(X0)
| ~ sP32(X0) ) ).
cnf(u399,axiom,
( ~ p305(sK36(X0))
| ~ p505(X0)
| ~ sP32(X0) ) ).
cnf(u264,axiom,
( ~ sP4(X0)
| ~ p105(sK68(X0))
| r1(X0,sK67(X0)) ) ).
cnf(u148,axiom,
r1(X0,X0) ).
cnf(u160,axiom,
( sP8(X0)
| ~ sP32(X0) ) ).
cnf(u259,axiom,
( ~ sP5(X0)
| r1(X0,sK66(X0))
| ~ p305(sK65(X0)) ) ).
cnf(u287,negated_conjecture,
( sP32(X1)
| ~ r1(sK77,X1) ) ).
cnf(u220,axiom,
( ~ sP23(X0)
| ~ p105(sK46(X0))
| r1(X0,sK45(X0)) ) ).
cnf(u281,axiom,
( ~ sP0(X0)
| r1(X0,sK76(X0))
| r1(X0,sK75(X0)) ) ).
cnf(u744,negated_conjecture,
( r1(X0,sK70(X0))
| r1(X0,sK69(X0))
| ~ r1(sK77,X0) ) ).
cnf(u183,axiom,
( sP3(X0)
| ~ sP32(X0) ) ).
cnf(u227,axiom,
( ~ sP20(X0)
| r1(X0,sK49(X0))
| ~ p604(X0) ) ).
cnf(u686,negated_conjecture,
( ~ p603(X0)
| ~ r1(sK77,sK53(X0))
| ~ sP32(X0) ) ).
cnf(u496,axiom,
( ~ sP32(X0)
| r1(X0,sK41(X0))
| r1(X0,sK42(X0)) ) ).
cnf(u758,negated_conjecture,
( ~ sP32(X0)
| r1(X0,sK67(X0))
| ~ r1(sK77,sK68(X0)) ) ).
cnf(u186,axiom,
( sP21(X0)
| ~ sP32(X0) ) ).
cnf(u158,axiom,
( ~ p501(X0)
| ~ p601(X0)
| ~ sP32(X0) ) ).
cnf(u688,negated_conjecture,
( ~ p303(X0)
| ~ r1(sK77,sK55(X0))
| ~ sP32(X0) ) ).
cnf(u246,axiom,
( ~ sP10(X0)
| ~ p102(sK59(X0))
| ~ p602(X0) ) ).
cnf(u422,axiom,
( ~ p605(X0)
| r1(X0,sK39(X0))
| ~ sP32(X0) ) ).
cnf(u466,axiom,
( ~ p305(sK38(X0))
| r1(X0,sK37(X0))
| ~ sP32(X0) ) ).
cnf(u409,axiom,
( ~ p104(sK52(X0))
| ~ p504(X0)
| ~ sP32(X0) ) ).
cnf(u404,axiom,
( ~ p304(sK47(X0))
| ~ p604(X0)
| ~ sP32(X0) ) ).
cnf(u205,axiom,
( ~ sP31(X0)
| r1(X0,sK35(X0))
| ~ p605(X0) ) ).
cnf(u268,axiom,
( ~ sP3(X0)
| ~ p204(sK70(X0))
| r1(X0,sK69(X0)) ) ).
cnf(u263,axiom,
( ~ sP4(X0)
| r1(X0,sK68(X0))
| ~ p205(sK67(X0)) ) ).
cnf(u196,axiom,
( sP27(X0)
| ~ sP32(X0) ) ).
cnf(u208,axiom,
( ~ sP29(X0)
| ~ p305(sK38(X0))
| r1(X0,sK37(X0)) ) ).
cnf(u495,axiom,
( ~ sP32(X0)
| r1(X0,sK37(X0))
| r1(X0,sK38(X0)) ) ).
cnf(u159,axiom,
( sP7(X0)
| ~ sP32(X0) ) ).
cnf(u171,axiom,
( sP12(X0)
| ~ sP32(X0) ) ).
cnf(u203,axiom,
( ~ p505(X0)
| ~ p605(X0)
| ~ sP32(X0) ) ).
cnf(u231,axiom,
( ~ sP18(X0)
| r1(X0,sK51(X0))
| ~ p604(X0) ) ).
cnf(u191,axiom,
( sP23(X0)
| ~ sP32(X0) ) ).
cnf(u162,axiom,
( sP10(X0)
| ~ sP32(X0) ) ).
cnf(u190,axiom,
( sP5(X0)
| ~ sP32(X0) ) ).
cnf(u398,axiom,
( ~ p305(sK35(X0))
| ~ p605(X0)
| ~ sP32(X0) ) ).
cnf(u470,axiom,
( ~ p205(sK64(X0))
| r1(X0,sK63(X0))
| ~ sP32(X0) ) ).
cnf(u413,axiom,
( ~ p103(sK56(X0))
| ~ p603(X0)
| ~ sP32(X0) ) ).
cnf(u457,axiom,
( ~ p302(X0)
| r1(X0,sK61(X0))
| ~ sP32(X0) ) ).
cnf(u249,axiom,
( ~ sP9(X0)
| r1(X0,sK60(X0))
| ~ p502(X0) ) ).
cnf(u459,axiom,
( ~ p205(sK64(X0))
| ~ p305(sK63(X0))
| ~ sP32(X0) ) ).
cnf(u256,axiom,
( ~ sP6(X0)
| ~ p205(sK64(X0))
| r1(X0,sK63(X0)) ) ).
cnf(u416,axiom,
( ~ p102(sK59(X0))
| ~ p602(X0)
| ~ sP32(X0) ) ).
cnf(u444,axiom,
( ~ p503(X0)
| r1(X0,sK57(X0))
| ~ sP32(X0) ) ).
cnf(u620,axiom,
( ~ sP32(X0)
| r1(X0,sK71(X0))
| r1(X0,sK72(X0)) ) ).
cnf(u652,negated_conjecture,
( r1(X0,sK38(X0))
| r1(X0,sK37(X0))
| ~ r1(sK77,X0) ) ).
cnf(u207,axiom,
( ~ sP30(X0)
| r1(X0,sK36(X0))
| ~ p505(X0) ) ).
cnf(u687,negated_conjecture,
( ~ p503(X0)
| ~ r1(sK77,sK54(X0))
| ~ sP32(X0) ) ).
cnf(u270,axiom,
( ~ sP2(X0)
| ~ p104(sK72(X0))
| ~ p304(sK71(X0)) ) ).
cnf(u166,axiom,
( ~ p302(X0)
| ~ p502(X0)
| ~ sP32(X0) ) ).
cnf(u621,axiom,
( ~ sP32(X0)
| r1(X0,sK73(X0))
| r1(X0,sK74(X0)) ) ).
cnf(u210,axiom,
( ~ sP28(X0)
| ~ p205(sK39(X0))
| ~ p605(X0) ) ).
cnf(u238,axiom,
( ~ sP14(X0)
| ~ p203(sK55(X0))
| ~ p303(X0) ) ).
cnf(u458,axiom,
( ~ p202(X0)
| r1(X0,sK62(X0))
| ~ sP32(X0) ) ).
cnf(u401,axiom,
( ~ p205(sK40(X0))
| ~ p505(X0)
| ~ sP32(X0) ) ).
cnf(u225,axiom,
( ~ sP21(X0)
| r1(X0,sK48(X0))
| ~ p504(X0) ) ).
cnf(u253,axiom,
( ~ sP7(X0)
| r1(X0,sK62(X0))
| ~ p202(X0) ) ).
cnf(u184,axiom,
( sP19(X0)
| ~ sP32(X0) ) ).
cnf(u244,axiom,
( ~ sP11(X0)
| ~ p103(sK58(X0))
| ~ p303(X0) ) ).
cnf(u420,axiom,
( ~ p605(X0)
| r1(X0,sK35(X0))
| ~ sP32(X0) ) ).
cnf(u464,axiom,
( ~ p104(sK74(X0))
| ~ p204(sK73(X0))
| ~ sP32(X0) ) ).
cnf(u427,axiom,
( ~ p504(X0)
| r1(X0,sK48(X0))
| ~ sP32(X0) ) ).
cnf(u487,axiom,
( ~ p103(sK76(X0))
| r1(X0,sK75(X0))
| ~ sP32(X0) ) ).
cnf(u151,axiom,
( ~ p101(X0)
| ~ p501(X0)
| ~ sP32(X0) ) ).
cnf(u195,axiom,
( sP26(X0)
| ~ sP32(X0) ) ).
cnf(u654,negated_conjecture,
( r1(X0,sK46(X0))
| r1(X0,sK45(X0))
| ~ r1(sK77,X0) ) ).
cnf(u258,axiom,
( ~ sP5(X0)
| ~ p105(sK66(X0))
| ~ p305(sK65(X0)) ) ).
cnf(u618,axiom,
( ~ sP32(X0)
| r1(X0,sK67(X0))
| r1(X0,sK68(X0)) ) ).
cnf(u726,negated_conjecture,
( r1(X0,sK76(X0))
| ~ r1(sK77,sK75(X0))
| ~ r1(sK77,X0) ) ).
cnf(u154,axiom,
( ~ p201(X0)
| ~ p501(X0)
| ~ sP32(X0) ) ).
cnf(u261,axiom,
( ~ sP5(X0)
| r1(X0,sK66(X0))
| r1(X0,sK65(X0)) ) ).
cnf(u273,axiom,
( ~ sP2(X0)
| r1(X0,sK72(X0))
| r1(X0,sK71(X0)) ) ).
cnf(u214,axiom,
( ~ sP26(X0)
| ~ p205(sK42(X0))
| r1(X0,sK41(X0)) ) ).
cnf(u252,axiom,
( ~ sP7(X0)
| ~ p102(sK62(X0))
| ~ p202(X0) ) ).
cnf(u169,axiom,
( sP0(X0)
| ~ sP32(X0) ) ).
cnf(u229,axiom,
( ~ sP19(X0)
| r1(X0,sK50(X0))
| ~ p504(X0) ) ).
cnf(u727,negated_conjecture,
( r1(X0,sK70(X0))
| ~ r1(sK77,sK69(X0))
| ~ r1(sK77,X0) ) ).
cnf(u614,axiom,
( ~ sP32(X0)
| r1(X0,sK65(X0))
| r1(X0,sK66(X0)) ) ).
cnf(u188,axiom,
( ~ p504(X0)
| ~ p604(X0)
| ~ sP32(X0) ) ).
cnf(u461,axiom,
( ~ p105(sK68(X0))
| ~ p205(sK67(X0))
| ~ sP32(X0) ) ).
cnf(u408,axiom,
( ~ p104(sK51(X0))
| ~ p604(X0)
| ~ sP32(X0) ) ).
cnf(u410,axiom,
( ~ p203(sK53(X0))
| ~ p603(X0)
| ~ sP32(X0) ) ).
cnf(u468,axiom,
( ~ p105(sK46(X0))
| r1(X0,sK45(X0))
| ~ sP32(X0) ) ).
cnf(u403,axiom,
( ~ p105(sK44(X0))
| ~ p505(X0)
| ~ sP32(X0) ) ).
cnf(u463,axiom,
( ~ p104(sK72(X0))
| ~ p304(sK71(X0))
| ~ sP32(X0) ) ).
cnf(u255,axiom,
( ~ sP6(X0)
| r1(X0,sK64(X0))
| ~ p305(sK63(X0)) ) ).
cnf(u199,axiom,
( sP30(X0)
| ~ sP32(X0) ) ).
cnf(u262,axiom,
( ~ sP4(X0)
| ~ p105(sK68(X0))
| ~ p205(sK67(X0)) ) ).
cnf(u434,axiom,
( ~ p603(X0)
| r1(X0,sK53(X0))
| ~ sP32(X0) ) ).
cnf(u613,axiom,
( ~ sP32(X0)
| r1(X0,sK63(X0))
| r1(X0,sK64(X0)) ) ).
cnf(u202,axiom,
( ~ p605(X0)
| r1(X0,sK33(X0))
| ~ sP32(X0) ) ).
cnf(u173,axiom,
( sP14(X0)
| ~ sP32(X0) ) ).
cnf(u217,axiom,
( ~ sP25(X0)
| r1(X0,sK43(X0))
| ~ p605(X0) ) ).
cnf(u280,axiom,
( ~ sP0(X0)
| ~ p103(sK76(X0))
| r1(X0,sK75(X0)) ) ).
cnf(u164,axiom,
( ~ p202(X0)
| ~ p502(X0)
| ~ sP32(X0) ) ).
cnf(u176,axiom,
( ~ p303(X0)
| ~ p503(X0)
| ~ sP32(X0) ) ).
cnf(u275,axiom,
( ~ sP1(X0)
| r1(X0,sK74(X0))
| ~ p204(sK73(X0)) ) ).
cnf(u236,axiom,
( ~ sP15(X0)
| ~ p203(sK54(X0))
| ~ p503(X0) ) ).
cnf(u412,axiom,
( ~ p203(sK55(X0))
| ~ p303(X0)
| ~ sP32(X0) ) ).
cnf(u446,axiom,
( ~ p303(X0)
| r1(X0,sK58(X0))
| ~ sP32(X0) ) ).
cnf(u475,axiom,
( ~ p304(sK69(X0))
| r1(X0,sK70(X0))
| ~ sP32(X0) ) ).
cnf(u407,axiom,
( ~ p204(sK50(X0))
| ~ p504(X0)
| ~ sP32(X0) ) ).
cnf(u243,axiom,
( ~ sP12(X0)
| r1(X0,sK57(X0))
| ~ p503(X0) ) ).
cnf(u689,negated_conjecture,
( ~ sP32(X0)
| r1(X0,sK76(X0))
| ~ r1(sK77,sK75(X0)) ) ).
cnf(u655,negated_conjecture,
( r1(X0,sK64(X0))
| r1(X0,sK63(X0))
| ~ r1(sK77,X0) ) ).
cnf(u206,axiom,
( ~ sP30(X0)
| ~ p305(sK36(X0))
| ~ p505(X0) ) ).
cnf(u425,axiom,
( ~ p505(X0)
| r1(X0,sK44(X0))
| ~ sP32(X0) ) ).
cnf(u485,axiom,
( ~ p104(sK74(X0))
| r1(X0,sK73(X0))
| ~ sP32(X0) ) ).
cnf(u149,axiom,
( ~ p101(X0)
| ~ p201(X0)
| ~ sP32(X0) ) ).
cnf(u193,axiom,
( sP25(X0)
| ~ sP32(X0) ) ).
cnf(u221,axiom,
( ~ sP23(X0)
| r1(X0,sK46(X0))
| r1(X0,sK45(X0)) ) ).
cnf(u756,negated_conjecture,
( ~ sP32(X0)
| r1(X0,sK65(X0))
| ~ r1(sK77,sK66(X0)) ) ).
cnf(u152,axiom,
( ~ p101(X0)
| ~ p601(X0)
| ~ sP32(X0) ) ).
cnf(u279,axiom,
( ~ sP0(X0)
| r1(X0,sK76(X0))
| ~ p203(sK75(X0)) ) ).
cnf(u212,axiom,
( ~ sP27(X0)
| ~ p205(sK40(X0))
| ~ p505(X0) ) ).
cnf(u224,axiom,
( ~ sP21(X0)
| ~ p304(sK48(X0))
| ~ p504(X0) ) ).
cnf(u692,negated_conjecture,
( ~ p504(X0)
| ~ r1(sK77,sK48(X0))
| ~ sP32(X0) ) ).
cnf(u460,axiom,
( ~ p105(sK66(X0))
| ~ p305(sK65(X0))
| ~ sP32(X0) ) ).
cnf(u175,axiom,
( sP16(X0)
| ~ sP32(X0) ) ).
cnf(u187,axiom,
( sP22(X0)
| ~ sP32(X0) ) ).
cnf(u219,axiom,
( ~ sP24(X0)
| r1(X0,sK44(X0))
| ~ p505(X0) ) ).
cnf(u247,axiom,
( ~ sP10(X0)
| r1(X0,sK59(X0))
| ~ p602(X0) ) ).
cnf(u690,negated_conjecture,
( r1(X0,sK66(X0))
| r1(X0,sK65(X0))
| ~ r1(sK77,X0) ) ).
cnf(u759,negated_conjecture,
( ~ p205(sK67(X0))
| ~ r1(sK77,sK68(X0))
| ~ sP32(X0) ) ).
cnf(u178,axiom,
( ~ p503(X0)
| ~ p603(X0)
| ~ sP32(X0) ) ).
cnf(u250,axiom,
( ~ sP8(X0)
| ~ p102(sK61(X0))
| ~ p302(X0) ) ).
cnf(u426,axiom,
( ~ p604(X0)
| r1(X0,sK47(X0))
| ~ sP32(X0) ) ).
cnf(u429,axiom,
( ~ p504(X0)
| r1(X0,sK50(X0))
| ~ sP32(X0) ) ).
cnf(u473,axiom,
( ~ p205(sK67(X0))
| r1(X0,sK68(X0))
| ~ sP32(X0) ) ).
cnf(u197,axiom,
( sP28(X0)
| ~ sP32(X0) ) ).
cnf(u469,axiom,
( ~ p305(sK63(X0))
| r1(X0,sK64(X0))
| ~ sP32(X0) ) ).
cnf(u260,axiom,
( ~ sP5(X0)
| ~ p105(sK66(X0))
| r1(X0,sK65(X0)) ) ).
cnf(u272,axiom,
( ~ sP2(X0)
| ~ p104(sK72(X0))
| r1(X0,sK71(X0)) ) ).
cnf(u432,axiom,
( ~ p504(X0)
| r1(X0,sK52(X0))
| ~ sP32(X0) ) ).
cnf(u267,axiom,
( ~ sP3(X0)
| r1(X0,sK70(X0))
| ~ p304(sK69(X0)) ) ).
cnf(u200,axiom,
( sP31(X0)
| ~ sP32(X0) ) ).
cnf(u163,axiom,
( ~ p202(X0)
| ~ p302(X0)
| ~ sP32(X0) ) ).
cnf(u622,axiom,
( ~ sP32(X0)
| r1(X0,sK75(X0))
| r1(X0,sK76(X0)) ) ).
cnf(u223,axiom,
( ~ sP22(X0)
| r1(X0,sK47(X0))
| ~ p604(X0) ) ).
cnf(u235,axiom,
( ~ sP16(X0)
| r1(X0,sK53(X0))
| ~ p603(X0) ) ).
cnf(u694,negated_conjecture,
( ~ sP32(X0)
| r1(X0,sK72(X0))
| ~ r1(sK77,sK71(X0)) ) ).
cnf(u747,negated_conjecture,
( r1(X0,sK76(X0))
| r1(X0,sK75(X0))
| ~ r1(sK77,X0) ) ).
cnf(u182,axiom,
( sP18(X0)
| ~ sP32(X0) ) ).
cnf(u226,axiom,
( ~ sP20(X0)
| ~ p204(sK49(X0))
| ~ p604(X0) ) ).
cnf(u402,axiom,
( ~ p105(sK43(X0))
| ~ p605(X0)
| ~ sP32(X0) ) ).
cnf(u254,axiom,
( ~ sP6(X0)
| ~ p205(sK64(X0))
| ~ p305(sK63(X0)) ) ).
cnf(u745,negated_conjecture,
( r1(X0,sK72(X0))
| r1(X0,sK71(X0))
| ~ r1(sK77,X0) ) ).
cnf(u179,axiom,
( sP1(X0)
| ~ sP32(X0) ) ).
cnf(u405,axiom,
( ~ p304(sK48(X0))
| ~ p504(X0)
| ~ sP32(X0) ) ).
cnf(u417,axiom,
( ~ p102(sK60(X0))
| ~ p502(X0)
| ~ sP32(X0) ) ).
cnf(u201,axiom,
( ~ p505(X0)
| r1(X0,sK34(X0))
| ~ sP32(X0) ) ).
cnf(u241,axiom,
( ~ sP13(X0)
| r1(X0,sK56(X0))
| ~ p603(X0) ) ).
cnf(u486,axiom,
( ~ p203(sK75(X0))
| r1(X0,sK76(X0))
| ~ sP32(X0) ) ).
cnf(u271,axiom,
( ~ sP2(X0)
| r1(X0,sK72(X0))
| ~ p304(sK71(X0)) ) ).
cnf(u204,axiom,
( ~ sP31(X0)
| ~ p305(sK35(X0))
| ~ p605(X0) ) ).
cnf(u443,axiom,
( ~ p603(X0)
| r1(X0,sK56(X0))
| ~ sP32(X0) ) ).
cnf(u755,negated_conjecture,
( ~ sP32(X0)
| r1(X0,sK45(X0))
| ~ r1(sK77,sK46(X0)) ) ).
cnf(u753,negated_conjecture,
( ~ p605(X0)
| ~ r1(sK77,sK43(X0))
| ~ sP32(X0) ) ).
cnf(u728,negated_conjecture,
( r1(X0,sK72(X0))
| ~ r1(sK77,sK71(X0))
| ~ r1(sK77,X0) ) ).
cnf(u167,axiom,
( ~ p302(X0)
| ~ p602(X0)
| ~ sP32(X0) ) ).
cnf(u619,axiom,
( ~ sP32(X0)
| r1(X0,sK69(X0))
| r1(X0,sK70(X0)) ) ).
cnf(u211,axiom,
( ~ sP28(X0)
| r1(X0,sK39(X0))
| ~ p605(X0) ) ).
cnf(u691,negated_conjecture,
( ~ p604(X0)
| ~ r1(sK77,sK47(X0))
| ~ sP32(X0) ) ).
cnf(u274,axiom,
( ~ sP1(X0)
| ~ p104(sK74(X0))
| ~ p204(sK73(X0)) ) ).
cnf(u743,negated_conjecture,
( r1(X0,sK68(X0))
| r1(X0,sK67(X0))
| ~ r1(sK77,X0) ) ).
cnf(u170,axiom,
( sP11(X0)
| ~ sP32(X0) ) ).
cnf(u277,axiom,
( ~ sP1(X0)
| r1(X0,sK74(X0))
| r1(X0,sK73(X0)) ) ).
cnf(u230,axiom,
( ~ sP18(X0)
| ~ p104(sK51(X0))
| ~ p604(X0) ) ).
cnf(u234,axiom,
( ~ sP16(X0)
| ~ p203(sK53(X0))
| ~ p603(X0) ) ).
cnf(u185,axiom,
( sP20(X0)
| ~ sP32(X0) ) ).
cnf(u453,axiom,
( ~ p602(X0)
| r1(X0,sK59(X0))
| ~ sP32(X0) ) ).
cnf(u245,axiom,
( ~ sP11(X0)
| r1(X0,sK58(X0))
| ~ p303(X0) ) ).
cnf(u462,axiom,
( ~ p204(sK70(X0))
| ~ p304(sK69(X0))
| ~ sP32(X0) ) ).
cnf(u414,axiom,
( ~ p103(sK57(X0))
| ~ p503(X0)
| ~ sP32(X0) ) ).
cnf(u248,axiom,
( ~ sP9(X0)
| ~ p102(sK60(X0))
| ~ p502(X0) ) ).
cnf(u424,axiom,
( ~ p605(X0)
| r1(X0,sK43(X0))
| ~ sP32(X0) ) ).
cnf(u192,axiom,
( sP24(X0)
| ~ sP32(X0) ) ).
cnf(u419,axiom,
( ~ p102(sK62(X0))
| ~ p202(X0)
| ~ sP32(X0) ) ).
cnf(u479,axiom,
( ~ p204(sK73(X0))
| r1(X0,sK74(X0))
| ~ sP32(X0) ) ).
cnf(u155,axiom,
( ~ p201(X0)
| ~ p601(X0)
| ~ sP32(X0) ) ).
cnf(u215,axiom,
( ~ sP26(X0)
| r1(X0,sK42(X0))
| r1(X0,sK41(X0)) ) ).
cnf(u477,axiom,
( ~ p304(sK71(X0))
| r1(X0,sK72(X0))
| ~ sP32(X0) ) ).
cnf(u278,axiom,
( ~ sP0(X0)
| ~ p103(sK76(X0))
| ~ p203(sK75(X0)) ) ).
cnf(u474,axiom,
( ~ p105(sK68(X0))
| r1(X0,sK67(X0))
| ~ sP32(X0) ) ).
cnf(u174,axiom,
( sP15(X0)
| ~ sP32(X0) ) ).
cnf(u265,axiom,
( ~ sP4(X0)
| r1(X0,sK68(X0))
| r1(X0,sK67(X0)) ) ).
cnf(u218,axiom,
( ~ sP24(X0)
| ~ p105(sK44(X0))
| ~ p505(X0) ) ).
cnf(u177,axiom,
( ~ p303(X0)
| ~ p603(X0)
| ~ sP32(X0) ) ).
cnf(u161,axiom,
( sP9(X0)
| ~ sP32(X0) ) ).
cnf(u189,axiom,
( sP4(X0)
| ~ sP32(X0) ) ).
cnf(u233,axiom,
( ~ sP17(X0)
| r1(X0,sK52(X0))
| ~ p504(X0) ) ).
cnf(u465,axiom,
( ~ p103(sK76(X0))
| ~ p203(sK75(X0))
| ~ sP32(X0) ) ).
cnf(u180,axiom,
( sP2(X0)
| ~ sP32(X0) ) ).
cnf(u757,negated_conjecture,
( ~ p305(sK65(X0))
| ~ r1(sK77,sK66(X0))
| ~ sP32(X0) ) ).
cnf(u400,axiom,
( ~ p205(sK39(X0))
| ~ p605(X0)
| ~ sP32(X0) ) ).
cnf(u428,axiom,
( ~ p604(X0)
| r1(X0,sK49(X0))
| ~ sP32(X0) ) ).
cnf(u472,axiom,
( ~ p105(sK66(X0))
| r1(X0,sK65(X0))
| ~ sP32(X0) ) ).
cnf(u423,axiom,
( ~ p505(X0)
| r1(X0,sK40(X0))
| ~ sP32(X0) ) ).
cnf(u467,axiom,
( ~ p205(sK42(X0))
| r1(X0,sK41(X0))
| ~ sP32(X0) ) ).
cnf(u762,negated_conjecture,
( r1(X0,sK67(X0))
| ~ r1(sK77,sK68(X0))
| ~ r1(sK77,X0) ) ).
cnf(u455,axiom,
( ~ p502(X0)
| r1(X0,sK60(X0))
| ~ sP32(X0) ) ).
cnf(u266,axiom,
( ~ sP3(X0)
| ~ p204(sK70(X0))
| ~ p304(sK69(X0)) ) ).
cnf(u150,axiom,
( ~ p101(X0)
| ~ p301(X0)
| ~ sP32(X0) ) ).
cnf(u269,axiom,
( ~ sP3(X0)
| r1(X0,sK70(X0))
| r1(X0,sK69(X0)) ) ).
cnf(u194,axiom,
( sP6(X0)
| ~ sP32(X0) ) ).
cnf(u222,axiom,
( ~ sP22(X0)
| ~ p304(sK47(X0))
| ~ p604(X0) ) ).
cnf(u441,axiom,
( ~ p503(X0)
| r1(X0,sK54(X0))
| ~ sP32(X0) ) ).
cnf(u165,axiom,
( ~ p202(X0)
| ~ p602(X0)
| ~ sP32(X0) ) ).
cnf(u209,axiom,
( ~ sP29(X0)
| r1(X0,sK38(X0))
| r1(X0,sK37(X0)) ) ).
cnf(u237,axiom,
( ~ sP15(X0)
| r1(X0,sK54(X0))
| ~ p503(X0) ) ).
cnf(u693,negated_conjecture,
( ~ sP32(X0)
| r1(X0,sK70(X0))
| ~ r1(sK77,sK69(X0)) ) ).
cnf(u168,axiom,
( ~ p502(X0)
| ~ p602(X0)
| ~ sP32(X0) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL667+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 % Computer : n014.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Sun Sep 27 16:27:16 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.49 Running first-order theorem proving
% 0.20/0.49 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.79/1.71 % (986906)Detected formulas, will run a generic FOF schedule.
% 1.79/1.71 % (986911)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=772984152:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.79/1.71 % (986912)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2508461882:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.79/1.71 % (986914)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1626501948:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.79/1.71 % (986917)dis-21_1_sil=8000:lcm=predicate:random_seed=2041463590:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.79/1.71 % (986916)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2452765001:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.79/1.71 % (986915)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2652682380:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.79/1.71 % (986913)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3138603830:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.79/1.71 % (986916)Refutation not found, incomplete strategy
% 1.79/1.71 % (986916)------------------------------
% 1.79/1.71 % (986916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.79/1.71 % (986916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/1.71 % (986916)CaDiCaL version: 2.1.3
% 1.79/1.71 % (986916)Termination reason: Refutation not found, incomplete strategy
% 1.79/1.71 % (986916)Time elapsed: 0.017 s
% 1.79/1.71 % (986916)Peak memory usage: 89 MB
% 1.79/1.71 % (986916)Instructions burned: 15 (million)
% 1.79/1.71 % (986917)First to succeed.
% 1.79/1.71 % (986917)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-986906"
% 1.79/1.71 % (986914)Refutation not found, incomplete strategy
% 1.79/1.71 % (986914)------------------------------
% 1.79/1.71 % (986914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.79/1.71 % (986914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/1.71 % (986914)CaDiCaL version: 2.1.3
% 1.79/1.71 % (986914)Termination reason: Refutation not found, incomplete strategy
% 1.79/1.71 % (986914)Time elapsed: 0.047 s
% 1.79/1.71 % (986914)Peak memory usage: 90 MB
% 1.79/1.71 % (986914)Instructions burned: 53 (million)
% 1.79/1.71 % (986915)Instruction limit reached!
% 1.79/1.71 % (986915)------------------------------
% 1.79/1.71 % (986915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.79/1.71 % (986915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/1.71 % (986915)CaDiCaL version: 2.1.3
% 1.79/1.71 % (986915)Termination reason: Instruction limit
% 1.79/1.71 % (986915)Termination phase: Saturation
% 1.79/1.71 % (986915)Time elapsed: 0.097 s
% 1.79/1.71 % (986915)Peak memory usage: 88 MB
% 1.79/1.71 % (986915)Instructions burned: 119 (million)
% 1.79/1.71 % (986925)lrs+10_1_sil=8000:sp=occurrence:random_seed=3280833210:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 1.79/1.71 % (986925)Also succeeded, but the first one will report.
% 1.79/1.71 % (986916)------------------------------
% 1.79/1.71 % (986916)------------------------------
% 1.79/1.71 % SZS status CounterSatisfiable for theBenchmark
% 1.79/1.71 % SZS output start Saturation.
% See solution above
% 5.70/2.00 % SZS output start Definitions and Model Updates.
% 5.70/2.00 for all inputs,
% 5.70/2.00 define p401(X0) := $false
% 5.70/2.00 for all inputs,
% 5.70/2.00 define p402(X0) := $false
% 5.70/2.00 for all inputs,
% 5.70/2.00 define p403(X0) := $false
% 5.70/2.00 for all inputs,
% 5.70/2.00 define p405(X0) := $false
% 5.70/2.00 for all inputs,
% 5.70/2.00 define p404(X0) := $true
% 5.70/2.00 % SZS output end Definitions and Model Updates.
% 5.70/2.00 % (986917)------------------------------
% 5.70/2.00 % (986917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/2.00 % (986917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/2.00 % (986917)CaDiCaL version: 2.1.3
% 5.70/2.00 % (986917)Termination reason: Satisfiable
% 5.70/2.00 % (986917)Time elapsed: 0.021 s
% 5.70/2.00 % (986917)Peak memory usage: 89 MB
% 5.70/2.00 % (986917)Instructions burned: 18 (million)
% 5.70/2.00 % (986917)------------------------------
% 5.70/2.00 % (986917)------------------------------
% 5.70/2.00 % (986906)Success in time 0.704 s
% 5.70/2.00 % Vampire exiting
%------------------------------------------------------------------------------