%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ039-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:31:20 PM UTC 2026
% Result : Unsatisfiable 8.73s 2.12s
% Output : Refutation 9.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 32
% Syntax : Number of formulae : 140 ( 58 unt; 18 def)
% Number of atoms : 233 ( 93 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 177 ( 84 ~; 78 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 5 con; 0-12 aty)
% Number of variables : 324 ( 0 sgn 324 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f10,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : ifeq(state(X0,X1,X2,X3,X4,X5,X6,s2(X7,X8),X9,X10,e1(X7,s(X8)),X11),true,state(X0,X1,X2,X3,X4,X5,X6,s2(X7,s(X8)),X9,X10,e1(X7,X8),X11),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_right) ).
fof(f11,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(state(X0,X1,X2,X3,X4,X5,X6,s2(X7,X8),X9,X10,e1(X7,s(X8)),X11),true,state(X0,X1,X2,X3,X4,X5,X6,s2(X7,s(X8)),X9,X10,e1(X7,X8),X11),true),
inference(reorient_equations,[],[f10]) ).
fof(f14,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : ifeq(state(X0,X1,X2,X3,X4,X5,X6,s2(X7,X8),X9,X10,e1(s(X7),X8),X11),true,state(X0,X1,X2,X3,X4,X5,X6,s2(s(X7),X8),X9,X10,e1(X7,X8),X11),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_down) ).
fof(f15,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(state(X0,X1,X2,X3,X4,X5,X6,s2(X7,X8),X9,X10,e1(s(X7),X8),X11),true,state(X0,X1,X2,X3,X4,X5,X6,s2(s(X7),X8),X9,X10,e1(X7,X8),X11),true),
inference(reorient_equations,[],[f14]) ).
fof(f16,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : ifeq(state(X0,X1,X2,X3,X4,X5,X6,s2(s(X7),X8),X9,X10,e1(X7,X8),X11),true,state(X0,X1,X2,X3,X4,X5,X6,s2(X7,X8),X9,X10,e1(s(X7),X8),X11),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_up) ).
fof(f17,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(state(X0,X1,X2,X3,X4,X5,X6,s2(s(X7),X8),X9,X10,e1(X7,X8),X11),true,state(X0,X1,X2,X3,X4,X5,X6,s2(X7,X8),X9,X10,e1(s(X7),X8),X11),true),
inference(reorient_equations,[],[f16]) ).
fof(f26,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : ifeq(state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(X9,X10),e1(X9,s(X10)),X11),true,state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(X9,s(X10)),e1(X9,X10),X11),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_right) ).
fof(f27,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(X9,X10),e1(X9,s(X10)),X11),true,state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(X9,s(X10)),e1(X9,X10),X11),true),
inference(reorient_equations,[],[f26]) ).
fof(f32,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : ifeq(state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(s(X9),X10),e1(X9,X10),X11),true,state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(X9,X10),e1(s(X9),X10),X11),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_up) ).
fof(f33,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(s(X9),X10),e1(X9,X10),X11),true,state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(X9,X10),e1(s(X9),X10),X11),true),
inference(reorient_equations,[],[f32]) ).
fof(f54,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : ifeq(state(X0,X1,X2,v3(X3,X4),X5,X6,X7,X8,X9,X10,e1(s(s(X3)),X4),X11),true,state(X0,X1,X2,v3(s(X3),X4),X5,X6,X7,X8,X9,X10,e1(X3,X4),X11),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v3_down) ).
fof(f55,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(state(X0,X1,X2,v3(X3,X4),X5,X6,X7,X8,X9,X10,e1(s(s(X3)),X4),X11),true,state(X0,X1,X2,v3(s(X3),X4),X5,X6,X7,X8,X9,X10,e1(X3,X4),X11),true),
inference(reorient_equations,[],[f54]) ).
fof(f60,axiom,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : ifeq(state(X0,X1,X2,X3,v4(X4,s(X5)),X6,X7,X8,X9,X10,e1(X4,X5),e2(s(X4),X5)),true,state(X0,X1,X2,X3,v4(X4,X5),X6,X7,X8,X9,X10,e1(X4,s(X5)),e2(s(X4),s(X5))),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v4_left) ).
fof(f61,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(state(X0,X1,X2,X3,v4(X4,s(X5)),X6,X7,X8,X9,X10,e1(X4,X5),e2(s(X4),X5)),true,state(X0,X1,X2,X3,v4(X4,X5),X6,X7,X8,X9,X10,e1(X4,s(X5)),e2(s(X4),s(X5))),true),
inference(reorient_equations,[],[f60]) ).
fof(f62,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : ifeq(state(X0,X1,X2,X3,v4(X4,X5),X6,X7,X8,X9,X10,e1(s(s(X4)),X5),X11),true,state(X0,X1,X2,X3,v4(s(X4),X5),X6,X7,X8,X9,X10,e1(X4,X5),X11),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v4_down) ).
fof(f63,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(state(X0,X1,X2,X3,v4(X4,X5),X6,X7,X8,X9,X10,e1(s(s(X4)),X5),X11),true,state(X0,X1,X2,X3,v4(s(X4),X5),X6,X7,X8,X9,X10,e1(X4,X5),X11),true),
inference(reorient_equations,[],[f62]) ).
fof(f64,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : ifeq(state(X0,X1,X2,X3,v4(s(X4),X5),X6,X7,X8,X9,X10,e1(X4,X5),X11),true,state(X0,X1,X2,X3,v4(X4,X5),X6,X7,X8,X9,X10,e1(s(s(X4)),X5),X11),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v4_up) ).
fof(f65,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(state(X0,X1,X2,X3,v4(s(X4),X5),X6,X7,X8,X9,X10,e1(X4,X5),X11),true,state(X0,X1,X2,X3,v4(X4,X5),X6,X7,X8,X9,X10,e1(s(s(X4)),X5),X11),true),
inference(reorient_equations,[],[f64]) ).
fof(f68,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : ifeq(state(X0,X1,X2,X3,X4,h(X5,s(X6)),X7,X8,X9,X10,e1(X5,X6),X11),true,state(X0,X1,X2,X3,X4,h(X5,X6),X7,X8,X9,X10,e1(X5,s(s(X6))),X11),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_left) ).
fof(f69,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(state(X0,X1,X2,X3,X4,h(X5,s(X6)),X7,X8,X9,X10,e1(X5,X6),X11),true,state(X0,X1,X2,X3,X4,h(X5,X6),X7,X8,X9,X10,e1(X5,s(s(X6))),X11),true),
inference(reorient_equations,[],[f68]) ).
fof(f82,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : ifeq(state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,e1(X10,X11),e2(X12,X13)),true,state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,e1(X12,X13),e2(X10,X11)),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',swap_blanks) ).
fof(f83,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,e1(X10,X11),e2(X12,X13)),true,state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,e1(X12,X13),e2(X10,X11)),true),
inference(reorient_equations,[],[f82]) ).
fof(f84,axiom,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state) ).
fof(f85,plain,
true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),
inference(reorient_equations,[],[f84]) ).
fof(f86,negated_conjecture,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : state(X0,X1,X2,X3,v4(s(s(o)),s(s(o))),X4,X5,X6,X7,X8,X9,X10) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_state) ).
fof(f87,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true != state(X0,X1,X2,X3,v4(s(s(o)),s(s(o))),X4,X5,X6,X7,X8,X9,X10),
inference(reorient_equations,[],[f86]) ).
fof(f88,definition,
sF0 = s(o),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f89,plain,
s(o) = sF0,
inference(reorient_equations,[],[f88]) ).
fof(f90,definition,
sF1 = s(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f91,plain,
s(sF0) = sF1,
inference(reorient_equations,[],[f90]) ).
fof(f92,definition,
sF2 = v4(sF1,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f93,plain,
v4(sF1,sF1) = sF2,
inference(reorient_equations,[],[f92]) ).
fof(f94,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true != state(X0,X1,X2,X3,sF2,X4,X5,X6,X7,X8,X9,X10),
inference(definition_folding,[],[f87,f93,f91,f89,f91,f89]) ).
fof(f95,plain,
true = state(bb(o,sF0),v1(o,o),v2(o,s(s(sF0))),v3(s(sF0),o),v4(s(sF0),s(s(sF0))),h(s(sF0),sF0),s1(s(s(sF0)),sF0),s2(s(s(sF0)),s(sF0)),s3(s(s(s(sF0))),sF0),s4(s(s(s(sF0))),s(sF0)),e1(s(s(s(sF0))),o),e2(s(s(s(sF0))),s(s(sF0)))),
inference(backward_demodulation,[],[f85,f89]) ).
fof(f96,plain,
true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(sF1,o),v4(sF1,s(sF1)),h(sF1,sF0),s1(s(sF1),sF0),s2(s(sF1),sF1),s3(s(s(sF1)),sF0),s4(s(s(sF1)),sF1),e1(s(s(sF1)),o),e2(s(s(sF1)),s(sF1))),
inference(forward_demodulation,[],[f95,f91]) ).
fof(f98,definition,
( spl3_1
<=> v4(sF1,sF1) = sF2 ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f100,plain,
( v4(sF1,sF1) = sF2
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
spl3_1,
inference(avatar_split_clause,[],[f93,f98]) ).
fof(f103,definition,
( spl3_2
<=> s(o) = sF0 ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f105,plain,
( s(o) = sF0
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f106,plain,
spl3_2,
inference(avatar_split_clause,[],[f89,f103]) ).
fof(f108,definition,
( spl3_3
<=> s(sF0) = sF1 ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f110,plain,
( s(sF0) = sF1
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f111,plain,
spl3_3,
inference(avatar_split_clause,[],[f91,f108]) ).
fof(f113,definition,
( spl3_4
<=> true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(sF1,o),v4(sF1,s(sF1)),h(sF1,sF0),s1(s(sF1),sF0),s2(s(sF1),sF1),s3(s(s(sF1)),sF0),s4(s(s(sF1)),sF1),e1(s(s(sF1)),o),e2(s(s(sF1)),s(sF1))) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f115,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(sF1,o),v4(sF1,s(sF1)),h(sF1,sF0),s1(s(sF1),sF0),s2(s(sF1),sF1),s3(s(s(sF1)),sF0),s4(s(s(sF1)),sF1),e1(s(s(sF1)),o),e2(s(s(sF1)),s(sF1)))
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f116,plain,
spl3_4,
inference(avatar_split_clause,[],[f96,f113]) ).
fof(f193,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(state(X0,X1,X2,X3,X4,h(X5,sF0),X6,X7,X8,X9,e1(X5,o),X10),true,state(X0,X1,X2,X3,X4,h(X5,o),X6,X7,X8,X9,e1(X5,s(sF0)),X10),true)
| ~ spl3_2 ),
inference(superposition,[],[f69,f105]) ).
fof(f195,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(state(X0,X1,X2,X3,X4,h(X5,sF0),X6,X7,X8,X9,e1(X5,o),X10),true,state(X0,X1,X2,X3,X4,h(X5,o),X6,X7,X8,X9,e1(X5,sF1),X10),true)
| ~ spl3_2
| ~ spl3_3 ),
inference(forward_demodulation,[],[f193,f110]) ).
fof(f202,plain,
( true = ifeq(true,true,state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(sF1,s(sF1)),h(sF1,sF0),s1(s(sF1),sF0),s2(s(sF1),sF1),s3(s(s(sF1)),sF0),s4(s(s(sF1)),sF1),e1(sF1,o),e2(s(s(sF1)),s(sF1))),true)
| ~ spl3_4 ),
inference(superposition,[],[f55,f115]) ).
fof(f206,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(sF1,s(sF1)),h(sF1,sF0),s1(s(sF1),sF0),s2(s(sF1),sF1),s3(s(s(sF1)),sF0),s4(s(s(sF1)),sF1),e1(sF1,o),e2(s(s(sF1)),s(sF1)))
| ~ spl3_4 ),
inference(forward_demodulation,[],[f202,f1]) ).
fof(f208,definition,
( spl3_6
<=> true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(sF1,s(sF1)),h(sF1,sF0),s1(s(sF1),sF0),s2(s(sF1),sF1),s3(s(s(sF1)),sF0),s4(s(s(sF1)),sF1),e1(sF1,o),e2(s(s(sF1)),s(sF1))) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f210,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(sF1,s(sF1)),h(sF1,sF0),s1(s(sF1),sF0),s2(s(sF1),sF1),s3(s(s(sF1)),sF0),s4(s(s(sF1)),sF1),e1(sF1,o),e2(s(s(sF1)),s(sF1)))
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f211,plain,
( spl3_6
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f206,f113,f208]) ).
fof(f287,plain,
( true = ifeq(true,true,state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(sF1,s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(s(sF1),sF1),s3(s(s(sF1)),sF0),s4(s(s(sF1)),sF1),e1(sF1,sF1),e2(s(s(sF1)),s(sF1))),true)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6 ),
inference(superposition,[],[f195,f210]) ).
fof(f288,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(sF1,s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(s(sF1),sF1),s3(s(s(sF1)),sF0),s4(s(s(sF1)),sF1),e1(sF1,sF1),e2(s(s(sF1)),s(sF1)))
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6 ),
inference(forward_demodulation,[],[f287,f1]) ).
fof(f425,definition,
( spl3_16
<=> true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(sF1,s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(s(sF1),sF1),s3(s(s(sF1)),sF0),s4(s(s(sF1)),sF1),e1(sF1,sF1),e2(s(s(sF1)),s(sF1))) ),
introduced(definition,[new_symbols(definition,[spl3_16])],[avatar_definition]) ).
fof(f427,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(sF1,s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(s(sF1),sF1),s3(s(s(sF1)),sF0),s4(s(s(sF1)),sF1),e1(sF1,sF1),e2(s(s(sF1)),s(sF1)))
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f428,plain,
( spl3_16
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f288,f208,f108,f103,f425]) ).
fof(f439,plain,
( true = ifeq(true,true,state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(sF1,s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,sF1),s3(s(s(sF1)),sF0),s4(s(s(sF1)),sF1),e1(s(sF1),sF1),e2(s(s(sF1)),s(sF1))),true)
| ~ spl3_16 ),
inference(superposition,[],[f17,f427]) ).
fof(f444,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(sF1,s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,sF1),s3(s(s(sF1)),sF0),s4(s(s(sF1)),sF1),e1(s(sF1),sF1),e2(s(s(sF1)),s(sF1)))
| ~ spl3_16 ),
inference(forward_demodulation,[],[f439,f1]) ).
fof(f501,definition,
( spl3_22
<=> true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(sF1,s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,sF1),s3(s(s(sF1)),sF0),s4(s(s(sF1)),sF1),e1(s(sF1),sF1),e2(s(s(sF1)),s(sF1))) ),
introduced(definition,[new_symbols(definition,[spl3_22])],[avatar_definition]) ).
fof(f503,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(sF1,s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,sF1),s3(s(s(sF1)),sF0),s4(s(s(sF1)),sF1),e1(s(sF1),sF1),e2(s(s(sF1)),s(sF1)))
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f504,plain,
( spl3_22
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f444,f425,f501]) ).
fof(f507,plain,
( true = ifeq(true,true,state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(sF1,s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,sF1),s3(s(s(sF1)),sF0),s4(s(sF1),sF1),e1(s(s(sF1)),sF1),e2(s(s(sF1)),s(sF1))),true)
| ~ spl3_22 ),
inference(superposition,[],[f33,f503]) ).
fof(f512,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(sF1,s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,sF1),s3(s(s(sF1)),sF0),s4(s(sF1),sF1),e1(s(s(sF1)),sF1),e2(s(s(sF1)),s(sF1)))
| ~ spl3_22 ),
inference(forward_demodulation,[],[f507,f1]) ).
fof(f583,definition,
( spl3_28
<=> true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(sF1,s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,sF1),s3(s(s(sF1)),sF0),s4(s(sF1),sF1),e1(s(s(sF1)),sF1),e2(s(s(sF1)),s(sF1))) ),
introduced(definition,[new_symbols(definition,[spl3_28])],[avatar_definition]) ).
fof(f585,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(sF1,s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,sF1),s3(s(s(sF1)),sF0),s4(s(sF1),sF1),e1(s(s(sF1)),sF1),e2(s(s(sF1)),s(sF1)))
| ~ spl3_28 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f586,plain,
( spl3_28
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f512,f501,f583]) ).
fof(f631,plain,
( true = ifeq(true,true,state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(sF1,s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,sF1),s3(s(s(sF1)),sF0),s4(s(sF1),sF1),e1(s(s(sF1)),s(sF1)),e2(s(s(sF1)),sF1)),true)
| ~ spl3_28 ),
inference(superposition,[],[f83,f585]) ).
fof(f632,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(sF1,s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,sF1),s3(s(s(sF1)),sF0),s4(s(sF1),sF1),e1(s(s(sF1)),s(sF1)),e2(s(s(sF1)),sF1))
| ~ spl3_28 ),
inference(forward_demodulation,[],[f631,f1]) ).
fof(f690,definition,
( spl3_31
<=> true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(sF1,s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,sF1),s3(s(s(sF1)),sF0),s4(s(sF1),sF1),e1(s(s(sF1)),s(sF1)),e2(s(s(sF1)),sF1)) ),
introduced(definition,[new_symbols(definition,[spl3_31])],[avatar_definition]) ).
fof(f692,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(sF1,s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,sF1),s3(s(s(sF1)),sF0),s4(s(sF1),sF1),e1(s(s(sF1)),s(sF1)),e2(s(s(sF1)),sF1))
| ~ spl3_31 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f693,plain,
( spl3_31
| ~ spl3_28 ),
inference(avatar_split_clause,[],[f632,f583,f690]) ).
fof(f720,plain,
( true = ifeq(true,true,state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,sF1),s3(s(s(sF1)),sF0),s4(s(sF1),sF1),e1(sF1,s(sF1)),e2(s(s(sF1)),sF1)),true)
| ~ spl3_31 ),
inference(superposition,[],[f63,f692]) ).
fof(f725,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,sF1),s3(s(s(sF1)),sF0),s4(s(sF1),sF1),e1(sF1,s(sF1)),e2(s(s(sF1)),sF1))
| ~ spl3_31 ),
inference(forward_demodulation,[],[f720,f1]) ).
fof(f827,definition,
( spl3_40
<=> true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,sF1),s3(s(s(sF1)),sF0),s4(s(sF1),sF1),e1(sF1,s(sF1)),e2(s(s(sF1)),sF1)) ),
introduced(definition,[new_symbols(definition,[spl3_40])],[avatar_definition]) ).
fof(f829,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,sF1),s3(s(s(sF1)),sF0),s4(s(sF1),sF1),e1(sF1,s(sF1)),e2(s(s(sF1)),sF1))
| ~ spl3_40 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f830,plain,
( spl3_40
| ~ spl3_31 ),
inference(avatar_split_clause,[],[f725,f690,f827]) ).
fof(f835,plain,
( true = ifeq(true,true,state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,s(sF1)),s3(s(s(sF1)),sF0),s4(s(sF1),sF1),e1(sF1,sF1),e2(s(s(sF1)),sF1)),true)
| ~ spl3_40 ),
inference(superposition,[],[f11,f829]) ).
fof(f841,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,s(sF1)),s3(s(s(sF1)),sF0),s4(s(sF1),sF1),e1(sF1,sF1),e2(s(s(sF1)),sF1))
| ~ spl3_40 ),
inference(forward_demodulation,[],[f835,f1]) ).
fof(f887,definition,
( spl3_44
<=> true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,s(sF1)),s3(s(s(sF1)),sF0),s4(s(sF1),sF1),e1(sF1,sF1),e2(s(s(sF1)),sF1)) ),
introduced(definition,[new_symbols(definition,[spl3_44])],[avatar_definition]) ).
fof(f889,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,s(sF1)),s3(s(s(sF1)),sF0),s4(s(sF1),sF1),e1(sF1,sF1),e2(s(s(sF1)),sF1))
| ~ spl3_44 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f890,plain,
( spl3_44
| ~ spl3_40 ),
inference(avatar_split_clause,[],[f841,f827,f887]) ).
fof(f895,plain,
( true = ifeq(true,true,state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,s(sF1)),s3(s(s(sF1)),sF0),s4(sF1,sF1),e1(s(sF1),sF1),e2(s(s(sF1)),sF1)),true)
| ~ spl3_44 ),
inference(superposition,[],[f33,f889]) ).
fof(f901,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,s(sF1)),s3(s(s(sF1)),sF0),s4(sF1,sF1),e1(s(sF1),sF1),e2(s(s(sF1)),sF1))
| ~ spl3_44 ),
inference(forward_demodulation,[],[f895,f1]) ).
fof(f921,definition,
( spl3_46
<=> true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,s(sF1)),s3(s(s(sF1)),sF0),s4(sF1,sF1),e1(s(sF1),sF1),e2(s(s(sF1)),sF1)) ),
introduced(definition,[new_symbols(definition,[spl3_46])],[avatar_definition]) ).
fof(f923,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),s(sF1)),h(sF1,o),s1(s(sF1),sF0),s2(sF1,s(sF1)),s3(s(s(sF1)),sF0),s4(sF1,sF1),e1(s(sF1),sF1),e2(s(s(sF1)),sF1))
| ~ spl3_46 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f924,plain,
( spl3_46
| ~ spl3_44 ),
inference(avatar_split_clause,[],[f901,f887,f921]) ).
fof(f925,plain,
( true = ifeq(true,true,state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),sF1),h(sF1,o),s1(s(sF1),sF0),s2(sF1,s(sF1)),s3(s(s(sF1)),sF0),s4(sF1,sF1),e1(s(sF1),s(sF1)),e2(s(s(sF1)),s(sF1))),true)
| ~ spl3_46 ),
inference(superposition,[],[f61,f923]) ).
fof(f934,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),sF1),h(sF1,o),s1(s(sF1),sF0),s2(sF1,s(sF1)),s3(s(s(sF1)),sF0),s4(sF1,sF1),e1(s(sF1),s(sF1)),e2(s(s(sF1)),s(sF1)))
| ~ spl3_46 ),
inference(forward_demodulation,[],[f925,f1]) ).
fof(f994,definition,
( spl3_51
<=> true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),sF1),h(sF1,o),s1(s(sF1),sF0),s2(sF1,s(sF1)),s3(s(s(sF1)),sF0),s4(sF1,sF1),e1(s(sF1),s(sF1)),e2(s(s(sF1)),s(sF1))) ),
introduced(definition,[new_symbols(definition,[spl3_51])],[avatar_definition]) ).
fof(f996,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),sF1),h(sF1,o),s1(s(sF1),sF0),s2(sF1,s(sF1)),s3(s(s(sF1)),sF0),s4(sF1,sF1),e1(s(sF1),s(sF1)),e2(s(s(sF1)),s(sF1)))
| ~ spl3_51 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f997,plain,
( spl3_51
| ~ spl3_46 ),
inference(avatar_split_clause,[],[f934,f921,f994]) ).
fof(f1001,plain,
( true = ifeq(true,true,state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),sF1),h(sF1,o),s1(s(sF1),sF0),s2(s(sF1),s(sF1)),s3(s(s(sF1)),sF0),s4(sF1,sF1),e1(sF1,s(sF1)),e2(s(s(sF1)),s(sF1))),true)
| ~ spl3_51 ),
inference(superposition,[],[f15,f996]) ).
fof(f1005,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),sF1),h(sF1,o),s1(s(sF1),sF0),s2(s(sF1),s(sF1)),s3(s(s(sF1)),sF0),s4(sF1,sF1),e1(sF1,s(sF1)),e2(s(s(sF1)),s(sF1)))
| ~ spl3_51 ),
inference(forward_demodulation,[],[f1001,f1]) ).
fof(f1020,definition,
( spl3_53
<=> true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),sF1),h(sF1,o),s1(s(sF1),sF0),s2(s(sF1),s(sF1)),s3(s(s(sF1)),sF0),s4(sF1,sF1),e1(sF1,s(sF1)),e2(s(s(sF1)),s(sF1))) ),
introduced(definition,[new_symbols(definition,[spl3_53])],[avatar_definition]) ).
fof(f1022,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),sF1),h(sF1,o),s1(s(sF1),sF0),s2(s(sF1),s(sF1)),s3(s(s(sF1)),sF0),s4(sF1,sF1),e1(sF1,s(sF1)),e2(s(s(sF1)),s(sF1)))
| ~ spl3_53 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f1023,plain,
( spl3_53
| ~ spl3_51 ),
inference(avatar_split_clause,[],[f1005,f994,f1020]) ).
fof(f1028,plain,
( true = ifeq(true,true,state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),sF1),h(sF1,o),s1(s(sF1),sF0),s2(s(sF1),s(sF1)),s3(s(s(sF1)),sF0),s4(sF1,s(sF1)),e1(sF1,sF1),e2(s(s(sF1)),s(sF1))),true)
| ~ spl3_53 ),
inference(superposition,[],[f27,f1022]) ).
fof(f1033,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),sF1),h(sF1,o),s1(s(sF1),sF0),s2(s(sF1),s(sF1)),s3(s(s(sF1)),sF0),s4(sF1,s(sF1)),e1(sF1,sF1),e2(s(s(sF1)),s(sF1)))
| ~ spl3_53 ),
inference(forward_demodulation,[],[f1028,f1]) ).
fof(f1054,definition,
( spl3_55
<=> true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),sF1),h(sF1,o),s1(s(sF1),sF0),s2(s(sF1),s(sF1)),s3(s(s(sF1)),sF0),s4(sF1,s(sF1)),e1(sF1,sF1),e2(s(s(sF1)),s(sF1))) ),
introduced(definition,[new_symbols(definition,[spl3_55])],[avatar_definition]) ).
fof(f1056,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(s(sF1),sF1),h(sF1,o),s1(s(sF1),sF0),s2(s(sF1),s(sF1)),s3(s(s(sF1)),sF0),s4(sF1,s(sF1)),e1(sF1,sF1),e2(s(s(sF1)),s(sF1)))
| ~ spl3_55 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1057,plain,
( spl3_55
| ~ spl3_53 ),
inference(avatar_split_clause,[],[f1033,f1020,f1054]) ).
fof(f1058,plain,
( true = ifeq(true,true,state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(sF1,sF1),h(sF1,o),s1(s(sF1),sF0),s2(s(sF1),s(sF1)),s3(s(s(sF1)),sF0),s4(sF1,s(sF1)),e1(s(s(sF1)),sF1),e2(s(s(sF1)),s(sF1))),true)
| ~ spl3_55 ),
inference(superposition,[],[f65,f1056]) ).
fof(f1074,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),v4(sF1,sF1),h(sF1,o),s1(s(sF1),sF0),s2(s(sF1),s(sF1)),s3(s(s(sF1)),sF0),s4(sF1,s(sF1)),e1(s(s(sF1)),sF1),e2(s(s(sF1)),s(sF1)))
| ~ spl3_55 ),
inference(forward_demodulation,[],[f1058,f1]) ).
fof(f1079,plain,
( true = state(bb(o,sF0),v1(o,o),v2(o,s(sF1)),v3(s(sF1),o),sF2,h(sF1,o),s1(s(sF1),sF0),s2(s(sF1),s(sF1)),s3(s(s(sF1)),sF0),s4(sF1,s(sF1)),e1(s(s(sF1)),sF1),e2(s(s(sF1)),s(sF1)))
| ~ spl3_1
| ~ spl3_55 ),
inference(forward_demodulation,[],[f1074,f100]) ).
fof(f1080,plain,
( $false
| ~ spl3_1
| ~ spl3_55 ),
inference(forward_subsumption_resolution,[],[f1079,f94]) ).
fof(f1081,plain,
( ~ spl3_1
| ~ spl3_55 ),
inference(avatar_contradiction_clause,[],[f1080]) ).
cnf(s1,plain,
spl3_1,
inference(sat_conversion,[],[f101]) ).
cnf(s2,plain,
spl3_2,
inference(sat_conversion,[],[f106]) ).
cnf(s3,plain,
spl3_3,
inference(sat_conversion,[],[f111]) ).
cnf(s4,plain,
spl3_4,
inference(sat_conversion,[],[f116]) ).
cnf(s6,plain,
( ~ spl3_4
| spl3_6 ),
inference(sat_conversion,[],[f211]) ).
cnf(s16,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| spl3_16 ),
inference(sat_conversion,[],[f428]) ).
cnf(s22,plain,
( ~ spl3_16
| spl3_22 ),
inference(sat_conversion,[],[f504]) ).
cnf(s28,plain,
( ~ spl3_22
| spl3_28 ),
inference(sat_conversion,[],[f586]) ).
cnf(s31,plain,
( ~ spl3_28
| spl3_31 ),
inference(sat_conversion,[],[f693]) ).
cnf(s40,plain,
( ~ spl3_31
| spl3_40 ),
inference(sat_conversion,[],[f830]) ).
cnf(s44,plain,
( ~ spl3_40
| spl3_44 ),
inference(sat_conversion,[],[f890]) ).
cnf(s46,plain,
( ~ spl3_44
| spl3_46 ),
inference(sat_conversion,[],[f924]) ).
cnf(s51,plain,
( ~ spl3_46
| spl3_51 ),
inference(sat_conversion,[],[f997]) ).
cnf(s53,plain,
( ~ spl3_51
| spl3_53 ),
inference(sat_conversion,[],[f1023]) ).
cnf(s55,plain,
( ~ spl3_53
| spl3_55 ),
inference(sat_conversion,[],[f1057]) ).
cnf(s57,plain,
( ~ spl3_1
| ~ spl3_55 ),
inference(sat_conversion,[],[f1081]) ).
cnf(s58,plain,
spl3_6,
inference(rat,[],[s6,s4]) ).
cnf(s74,plain,
spl3_16,
inference(rat,[],[s16,s3,s58,s2]) ).
cnf(s77,plain,
spl3_22,
inference(rat,[],[s22,s74]) ).
cnf(s81,plain,
spl3_28,
inference(rat,[],[s28,s77]) ).
cnf(s87,plain,
spl3_31,
inference(rat,[],[s31,s81]) ).
cnf(s94,plain,
spl3_40,
inference(rat,[],[s40,s87]) ).
cnf(s98,plain,
spl3_44,
inference(rat,[],[s44,s94]) ).
cnf(s101,plain,
spl3_46,
inference(rat,[],[s46,s98]) ).
cnf(s103,plain,
spl3_51,
inference(rat,[],[s51,s101]) ).
cnf(s105,plain,
spl3_53,
inference(rat,[],[s53,s103]) ).
cnf(s107,plain,
spl3_55,
inference(rat,[],[s55,s105]) ).
cnf(s109,plain,
~ spl3_1,
inference(rat,[],[s57,s107]) ).
cnf(s110,plain,
$false,
inference(rat,[],[s1,s109]) ).
fof(f1082,plain,
$false,
inference(avatar_sat_refutation,[],[s110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ039-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 22:39:01 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 8.73/2.12 % (2084320)Detected a unit-equality problem, will run specialized UEQ schedule.
% 8.73/2.12 % (2084327)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2145411932:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 8.73/2.12 % (2084329)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3207283648:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 8.73/2.12 % (2084325)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=4029373136:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 8.73/2.12 % (2084328)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3341609498:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 8.73/2.12 % (2084326)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3402744156:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 8.73/2.12 % (2084331)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2770773127:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 8.73/2.12 % (2084330)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=242557395:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 8.73/2.12 % (2084328)Instruction limit reached!
% 8.73/2.12 % (2084328)------------------------------
% 8.73/2.12 % (2084328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.12 % (2084328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.12 % (2084328)CaDiCaL version: 2.1.3
% 8.73/2.12 % (2084328)Termination reason: Instruction limit
% 8.73/2.12 % (2084328)Termination phase: Saturation
% 8.73/2.12 % (2084328)Time elapsed: 0.074 s
% 8.73/2.12 % (2084328)Peak memory usage: 87 MB
% 8.73/2.12 % (2084328)Instructions burned: 138 (million)
% 8.73/2.12 % (2084329)Instruction limit reached!
% 8.73/2.12 % (2084329)------------------------------
% 8.73/2.12 % (2084329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.12 % (2084329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.12 % (2084329)CaDiCaL version: 2.1.3
% 8.73/2.12 % (2084329)Termination reason: Instruction limit
% 8.73/2.12 % (2084329)Termination phase: Saturation
% 8.73/2.12 % (2084329)Time elapsed: 0.099 s
% 8.73/2.12 % (2084329)Peak memory usage: 90 MB
% 8.73/2.12 % (2084329)Instructions burned: 181 (million)
% 8.73/2.12 % (2084330)Instruction limit reached!
% 8.73/2.12 % (2084330)------------------------------
% 8.73/2.12 % (2084330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.12 % (2084330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.12 % (2084330)CaDiCaL version: 2.1.3
% 8.73/2.12 % (2084330)Termination reason: Instruction limit
% 8.73/2.12 % (2084330)Termination phase: Saturation
% 8.73/2.12 % (2084330)Time elapsed: 0.155 s
% 8.73/2.12 % (2084330)Peak memory usage: 90 MB
% 8.73/2.12 % (2084330)Instructions burned: 258 (million)
% 8.73/2.12 % (2084339)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1496789742:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 8.73/2.12 % (2084340)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3400909535:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 8.73/2.12 % (2084341)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2303802842:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 8.73/2.12 % (2084341)Instruction limit reached!
% 8.73/2.12 % (2084341)------------------------------
% 8.73/2.12 % (2084341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.12 % (2084341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.12 % (2084341)CaDiCaL version: 2.1.3
% 8.73/2.12 % (2084341)Termination reason: Instruction limit
% 8.73/2.12 % (2084341)Termination phase: Saturation
% 8.73/2.12 % (2084341)Time elapsed: 0.113 s
% 8.73/2.12 % (2084341)Peak memory usage: 89 MB
% 8.73/2.12 % (2084341)Instructions burned: 216 (million)
% 8.73/2.12 % (2084345)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2099352506:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 8.73/2.12 % (2084331)Instruction limit reached!
% 8.73/2.12 % (2084331)------------------------------
% 8.73/2.12 % (2084331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.12 % (2084331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.12 % (2084331)CaDiCaL version: 2.1.3
% 8.73/2.12 % (2084331)Termination reason: Instruction limit
% 8.73/2.12 % (2084331)Termination phase: Saturation
% 8.73/2.12 % (2084331)Time elapsed: 0.601 s
% 8.73/2.12 % (2084331)Peak memory usage: 91 MB
% 8.73/2.12 % (2084331)Instructions burned: 1187 (million)
% 8.73/2.12 % (2084345)Instruction limit reached!
% 8.73/2.12 % (2084345)------------------------------
% 8.73/2.12 % (2084345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.12 % (2084345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.12 % (2084345)CaDiCaL version: 2.1.3
% 8.73/2.12 % (2084345)Termination reason: Instruction limit
% 8.73/2.12 % (2084345)Termination phase: Saturation
% 8.73/2.12 % (2084345)Time elapsed: 0.191 s
% 8.73/2.12 % (2084345)Peak memory usage: 90 MB
% 8.73/2.12 % (2084345)Instructions burned: 318 (million)
% 8.73/2.12 % (2084347)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2295322362:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 8.73/2.12 % (2084348)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=580263970:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 8.73/2.12 % (2084325)First to succeed.
% 8.73/2.12 % (2084325)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2084320"
% 8.73/2.12 % (2084326)Also succeeded, but the first one will report.
% 8.73/2.12 % (2084325)Refutation found. Thanks to Tanya!
% 8.73/2.12 % SZS status Unsatisfiable for theBenchmark
% 8.73/2.12 % SZS output start Proof for theBenchmark
% See solution above
% 9.58/2.34 % (2084325)------------------------------
% 9.58/2.34 % (2084325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.58/2.34 % (2084325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.58/2.34 % (2084325)CaDiCaL version: 2.1.3
% 9.58/2.34 % (2084325)Termination reason: Refutation
% 9.58/2.34 % (2084325)Time elapsed: 0.864 s
% 9.58/2.34 % (2084325)Peak memory usage: 131 MB
% 9.58/2.34 % (2084325)Instructions burned: 1304 (million)
% 9.58/2.34 % (2084325)------------------------------
% 9.58/2.34 % (2084325)------------------------------
% 9.58/2.34 % (2084320)Success in time 1.271 s
% 9.58/2.34 % Vampire exiting
%------------------------------------------------------------------------------