%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC164-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 01:04:55 PM UTC 2026
% Result : Unsatisfiable 36.34s 5.67s
% Output : Refutation 36.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 42
% Syntax : Number of formulae : 186 ( 67 unt; 6 def)
% Number of atoms : 477 ( 192 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 568 ( 277 ~; 291 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 14 con; 0-2 aty)
% Number of variables : 103 ( 103 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause12) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause13) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f77,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause77) ).
fof(f84,axiom,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause84) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
fof(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).
fof(f99,plain,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(reorient_equations,[],[f98]) ).
fof(f104,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause102) ).
fof(f105,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f104]) ).
fof(f112,axiom,
! [X0] :
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).
fof(f121,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
inference(reorient_equations,[],[f121]) ).
fof(f123,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause119) ).
fof(f124,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
inference(reorient_equations,[],[f123]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).
fof(f126,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
fof(f138,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause129) ).
fof(f139,plain,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
inference(reorient_equations,[],[f138]) ).
fof(f143,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).
fof(f148,axiom,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause137) ).
fof(f155,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).
fof(f162,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause150) ).
fof(f163,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X2,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause151) ).
fof(f183,axiom,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause170) ).
fof(f184,axiom,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| X3 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause171) ).
fof(f185,plain,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| X1 = X3 ),
inference(reorient_equations,[],[f184]) ).
fof(f188,axiom,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X1),cons(X2,X3))
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| frontsegP(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause174) ).
fof(f190,axiom,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X1),cons(X2,X3))
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause176) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
sk1 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
~ neq(sk5,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,negated_conjecture,
( ssItem(sk9)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f219,negated_conjecture,
( cons(sk9,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f220,plain,
( sk3 = cons(sk9,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f219]) ).
fof(f225,plain,
sk3 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(definition_unfolding,[],[f211,f205]) ).
fof(f237,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1) ),
inference(equality_resolution,[],[f155]) ).
fof(f250,definition,
sF0 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f251,plain,
cons(sk5,nil) = sF0,
inference(reorient_equations,[],[f250]) ).
fof(f252,definition,
sF1 = app(sk7,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f253,plain,
app(sk7,sF0) = sF1,
inference(reorient_equations,[],[f252]) ).
fof(f254,definition,
sF2 = cons(sk6,nil),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f255,plain,
cons(sk6,nil) = sF2,
inference(reorient_equations,[],[f254]) ).
fof(f256,definition,
sF3 = app(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f257,plain,
app(sF1,sF2) = sF3,
inference(reorient_equations,[],[f256]) ).
fof(f258,definition,
sF4 = app(sF3,sk8),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f259,plain,
app(sF3,sk8) = sF4,
inference(reorient_equations,[],[f258]) ).
fof(f260,plain,
sk3 = sF4,
inference(definition_folding,[],[f225,f259,f257,f255,f253,f251]) ).
fof(f261,definition,
sF5 = cons(sk9,nil),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f262,plain,
cons(sk9,nil) = sF5,
inference(reorient_equations,[],[f261]) ).
fof(f264,plain,
( sk3 = sF5
| nil = sk3 ),
inference(definition_folding,[],[f220,f262]) ).
fof(f271,plain,
sk3 = app(sF3,sk8),
inference(forward_demodulation,[],[f259,f260]) ).
fof(f375,plain,
sk7 = app(sk7,nil),
inference(resolution,[],[f73,f208]) ).
fof(f435,plain,
( ssList(sF1)
| ~ ssList(sk7)
| ~ ssList(sF0) ),
inference(superposition,[],[f85,f253]) ).
fof(f437,plain,
( ~ ssList(sF0)
| ssList(sF1) ),
inference(forward_subsumption_resolution,[],[f435,f208]) ).
fof(f441,plain,
( ssList(sF0)
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(superposition,[],[f86,f251]) ).
fof(f446,plain,
( ssList(sF0)
| ~ ssItem(sk5) ),
inference(forward_subsumption_resolution,[],[f441,f8]) ).
fof(f448,plain,
ssList(sF0),
inference(forward_subsumption_resolution,[],[f446,f206]) ).
fof(f461,plain,
ssList(sF1),
inference(resolution,[],[f437,f448]) ).
fof(f471,plain,
( nil != sF0
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[],[f99,f251]) ).
fof(f476,plain,
( nil != sF0
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f471,f206]) ).
fof(f478,plain,
nil != sF0,
inference(forward_subsumption_resolution,[],[f476,f8]) ).
fof(f513,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(sk5,X0)) = X0 ),
inference(resolution,[],[f96,f206]) ).
fof(f552,plain,
( ~ ssItem(sk5)
| ~ ssItem(sk6)
| sk5 = sk6 ),
inference(resolution,[],[f105,f212]) ).
fof(f557,plain,
( ~ ssItem(sk6)
| sk5 = sk6 ),
inference(forward_subsumption_resolution,[],[f552,f206]) ).
fof(f558,plain,
sk5 = sk6,
inference(forward_subsumption_resolution,[],[f557,f207]) ).
fof(f560,plain,
cons(sk5,nil) = sF2,
inference(superposition,[],[f255,f558]) ).
fof(f563,plain,
sF0 = sF2,
inference(forward_demodulation,[],[f560,f251]) ).
fof(f568,plain,
sF3 = app(sF1,sF0),
inference(superposition,[],[f257,f563]) ).
fof(f684,plain,
! [X0] :
( ~ ssList(X0)
| nil = tl(X0)
| tl(X0) = cons(skaf83(tl(X0)),skaf82(tl(X0)))
| nil = X0 ),
inference(resolution,[],[f112,f77]) ).
fof(f685,plain,
( sk3 = cons(skaf83(sk3),skaf82(sk3))
| nil = sk3 ),
inference(resolution,[],[f112,f202]) ).
fof(f696,plain,
( ssList(sF3)
| ~ ssList(sF1)
| ~ ssList(sF0) ),
inference(superposition,[],[f85,f568]) ).
fof(f697,plain,
( ssList(sF3)
| ~ ssList(sF0) ),
inference(forward_subsumption_resolution,[],[f696,f461]) ).
fof(f698,plain,
ssList(sF3),
inference(forward_subsumption_resolution,[],[f697,f448]) ).
fof(f730,plain,
( nil != sF1
| ~ ssList(sF0)
| ~ ssList(sk7)
| nil = sF0 ),
inference(superposition,[],[f124,f253]) ).
fof(f737,plain,
( nil != sF1
| ~ ssList(sk7)
| nil = sF0 ),
inference(forward_subsumption_resolution,[],[f730,f448]) ).
fof(f741,plain,
( nil != sF1
| nil = sF0 ),
inference(forward_subsumption_resolution,[],[f737,f208]) ).
fof(f744,plain,
nil != sF1,
inference(forward_subsumption_resolution,[],[f741,f478]) ).
fof(f768,plain,
! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) ),
inference(resolution,[],[f126,f206]) ).
fof(f775,plain,
! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(sF0,X0) ),
inference(forward_demodulation,[],[f768,f251]) ).
fof(f919,plain,
( frontsegP(sF3,sF1)
| ~ ssList(sF1)
| ~ ssList(sF3)
| ~ ssList(sF0) ),
inference(superposition,[],[f237,f568]) ).
fof(f921,plain,
( frontsegP(sk3,sF3)
| ~ ssList(sF3)
| ~ ssList(sk3)
| ~ ssList(sk8) ),
inference(superposition,[],[f237,f271]) ).
fof(f940,plain,
( frontsegP(sk3,sF3)
| ~ ssList(sk3)
| ~ ssList(sk8) ),
inference(forward_subsumption_resolution,[],[f921,f698]) ).
fof(f941,plain,
( frontsegP(sF3,sF1)
| ~ ssList(sF3)
| ~ ssList(sF0) ),
inference(forward_subsumption_resolution,[],[f919,f461]) ).
fof(f945,plain,
( frontsegP(sk3,sF3)
| ~ ssList(sk8) ),
inference(forward_subsumption_resolution,[],[f940,f202]) ).
fof(f946,plain,
( frontsegP(sF3,sF1)
| ~ ssList(sF0) ),
inference(forward_subsumption_resolution,[],[f941,f698]) ).
fof(f949,plain,
frontsegP(sk3,sF3),
inference(forward_subsumption_resolution,[],[f945,f209]) ).
fof(f950,plain,
frontsegP(sF3,sF1),
inference(forward_subsumption_resolution,[],[f946,f448]) ).
fof(f1104,plain,
( ~ frontsegP(sF1,sF3)
| ~ ssList(sF1)
| ~ ssList(sF3)
| sF1 = sF3 ),
inference(resolution,[],[f950,f139]) ).
fof(f1105,plain,
( ~ frontsegP(sF1,sF3)
| ~ ssList(sF3)
| sF1 = sF3 ),
inference(forward_subsumption_resolution,[],[f1104,f461]) ).
fof(f1107,plain,
( ~ frontsegP(sF1,sF3)
| sF1 = sF3 ),
inference(forward_subsumption_resolution,[],[f1105,f698]) ).
fof(f1129,plain,
! [X0] :
( frontsegP(sk3,X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(sF3)
| ~ frontsegP(sF3,X0) ),
inference(superposition,[],[f148,f271]) ).
fof(f1133,plain,
! [X0] :
( frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(sF3)
| ~ frontsegP(sF3,X0) ),
inference(forward_subsumption_resolution,[],[f1129,f209]) ).
fof(f1147,plain,
! [X0] :
( ~ frontsegP(sF3,X0)
| ~ ssList(X0)
| frontsegP(sk3,X0) ),
inference(forward_subsumption_resolution,[],[f1133,f698]) ).
fof(f1449,plain,
! [X0] :
( sF1 != app(sk7,X0)
| ~ ssList(X0)
| ~ ssList(sk7)
| ~ ssList(sF0)
| sF0 = X0 ),
inference(superposition,[],[f162,f253]) ).
fof(f1470,plain,
! [X0] :
( sF1 != app(sk7,X0)
| ~ ssList(X0)
| ~ ssList(sF0)
| sF0 = X0 ),
inference(forward_subsumption_resolution,[],[f1449,f208]) ).
fof(f1514,plain,
! [X0] :
( sF1 != app(sk7,X0)
| ~ ssList(X0)
| sF0 = X0 ),
inference(forward_subsumption_resolution,[],[f1470,f448]) ).
fof(f1600,plain,
! [X0] :
( sF1 != app(X0,sF0)
| ~ ssList(X0)
| ~ ssList(sF0)
| ~ ssList(sk7)
| sk7 = X0 ),
inference(superposition,[],[f163,f253]) ).
fof(f1621,plain,
! [X0] :
( sF1 != app(X0,sF0)
| ~ ssList(X0)
| ~ ssList(sk7)
| sk7 = X0 ),
inference(forward_subsumption_resolution,[],[f1600,f448]) ).
fof(f1665,plain,
! [X0] :
( sF1 != app(X0,sF0)
| ~ ssList(X0)
| sk7 = X0 ),
inference(forward_subsumption_resolution,[],[f1621,f208]) ).
fof(f2151,plain,
! [X0,X1] :
( cons(X0,X1) != sF5
| ~ ssItem(sk9)
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| sk9 = X0 ),
inference(superposition,[],[f183,f262]) ).
fof(f2157,plain,
! [X0,X1] :
( cons(X0,X1) != sF5
| ~ ssItem(sk9)
| ~ ssItem(X0)
| ~ ssList(X1)
| sk9 = X0 ),
inference(forward_subsumption_resolution,[],[f2151,f8]) ).
fof(f2196,plain,
! [X0,X1] :
( cons(X0,X1) != sF5
| ~ ssItem(sk9)
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| nil = X1 ),
inference(superposition,[],[f185,f262]) ).
fof(f2202,plain,
! [X0,X1] :
( cons(X0,X1) != sF5
| ~ ssItem(sk9)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1 ),
inference(forward_subsumption_resolution,[],[f2196,f8]) ).
fof(f2257,plain,
sF1 = tl(cons(sk5,sF1)),
inference(resolution,[],[f513,f461]) ).
fof(f2357,plain,
! [X0,X1] :
( ~ frontsegP(sF5,cons(X0,X1))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssItem(sk9)
| frontsegP(nil,X1) ),
inference(superposition,[],[f188,f262]) ).
fof(f2372,plain,
! [X0,X1] :
( ~ frontsegP(sF5,cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sk9)
| frontsegP(nil,X1) ),
inference(forward_subsumption_resolution,[],[f2357,f8]) ).
fof(f2393,plain,
! [X0,X1] :
( ~ frontsegP(sF5,cons(X0,X1))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssItem(sk9)
| sk9 = X0 ),
inference(superposition,[],[f190,f262]) ).
fof(f2412,plain,
! [X0,X1] :
( ~ frontsegP(sF5,cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sk9)
| sk9 = X0 ),
inference(forward_subsumption_resolution,[],[f2393,f8]) ).
fof(f3499,plain,
( ~ ssList(sF1)
| frontsegP(sk3,sF1) ),
inference(resolution,[],[f1147,f950]) ).
fof(f3506,plain,
frontsegP(sk3,sF1),
inference(forward_subsumption_resolution,[],[f3499,f461]) ).
fof(f3526,plain,
( ~ ssList(sF1)
| ~ ssList(sk3)
| sk3 = app(sF1,skaf45(sk3,sF1)) ),
inference(resolution,[],[f3506,f143]) ).
fof(f3529,plain,
( ~ ssList(sk3)
| sk3 = app(sF1,skaf45(sk3,sF1)) ),
inference(forward_subsumption_resolution,[],[f3526,f461]) ).
fof(f3532,plain,
sk3 = app(sF1,skaf45(sk3,sF1)),
inference(forward_subsumption_resolution,[],[f3529,f202]) ).
fof(f3597,plain,
cons(sk5,sF1) = app(sF0,sF1),
inference(resolution,[],[f775,f461]) ).
fof(f4212,plain,
( sk7 != sF1
| ~ ssList(nil)
| nil = sF0 ),
inference(superposition,[],[f1514,f375]) ).
fof(f4216,plain,
( sk7 != sF1
| nil = sF0 ),
inference(forward_subsumption_resolution,[],[f4212,f8]) ).
fof(f4217,plain,
sk7 != sF1,
inference(forward_subsumption_resolution,[],[f4216,f478]) ).
fof(f4227,plain,
( sF1 != sF3
| ~ ssList(sF1)
| sk7 = sF1 ),
inference(superposition,[],[f1665,f568]) ).
fof(f4229,plain,
( sF1 != sF3
| sk7 = sF1 ),
inference(forward_subsumption_resolution,[],[f4227,f461]) ).
fof(f4233,plain,
sF1 != sF3,
inference(forward_subsumption_resolution,[],[f4229,f4217]) ).
fof(f6317,plain,
( ssList(cons(sk5,sF1))
| ~ ssList(sF0)
| ~ ssList(sF1) ),
inference(superposition,[],[f85,f3597]) ).
fof(f6319,plain,
( nil != cons(sk5,sF1)
| ~ ssList(sF1)
| ~ ssList(sF0)
| nil = sF1 ),
inference(superposition,[],[f124,f3597]) ).
fof(f6345,plain,
( nil != cons(sk5,sF1)
| ~ ssList(sF0)
| nil = sF1 ),
inference(forward_subsumption_resolution,[],[f6319,f461]) ).
fof(f6347,plain,
( ssList(cons(sk5,sF1))
| ~ ssList(sF1) ),
inference(forward_subsumption_resolution,[],[f6317,f448]) ).
fof(f6360,plain,
( nil != cons(sk5,sF1)
| nil = sF1 ),
inference(forward_subsumption_resolution,[],[f6345,f448]) ).
fof(f6362,plain,
ssList(cons(sk5,sF1)),
inference(forward_subsumption_resolution,[],[f6347,f461]) ).
fof(f6364,plain,
nil != cons(sk5,sF1),
inference(forward_subsumption_resolution,[],[f6360,f744]) ).
fof(f7373,plain,
( nil != sk3
| ~ ssList(skaf45(sk3,sF1))
| ~ ssList(sF1)
| nil = sF1 ),
inference(superposition,[],[f122,f3532]) ).
fof(f7401,plain,
( nil != sk3
| ~ ssList(sF1)
| nil = sF1 ),
inference(forward_subsumption_resolution,[],[f7373,f51]) ).
fof(f7417,plain,
( nil != sk3
| nil = sF1 ),
inference(forward_subsumption_resolution,[],[f7401,f461]) ).
fof(f7420,plain,
nil != sk3,
inference(forward_subsumption_resolution,[],[f7417,f744]) ).
fof(f18282,plain,
( sk3 != sF5
| ~ ssItem(sk9)
| ~ ssItem(skaf83(sk3))
| ~ ssList(skaf82(sk3))
| sk9 = skaf83(sk3)
| nil = sk3 ),
inference(superposition,[],[f2157,f685]) ).
fof(f18292,plain,
( ~ ssItem(sk9)
| ~ ssItem(skaf83(sk3))
| ~ ssList(skaf82(sk3))
| sk9 = skaf83(sk3)
| nil = sk3 ),
inference(forward_subsumption_resolution,[],[f18282,f264]) ).
fof(f18323,plain,
( ~ ssItem(skaf83(sk3))
| ~ ssList(skaf82(sk3))
| sk9 = skaf83(sk3)
| nil = sk3 ),
inference(forward_subsumption_resolution,[],[f18292,f214]) ).
fof(f18351,plain,
( ~ ssList(skaf82(sk3))
| sk9 = skaf83(sk3)
| nil = sk3 ),
inference(forward_subsumption_resolution,[],[f18323,f12]) ).
fof(f18356,plain,
( sk9 = skaf83(sk3)
| nil = sk3 ),
inference(forward_subsumption_resolution,[],[f18351,f13]) ).
fof(f18360,plain,
sk9 = skaf83(sk3),
inference(forward_subsumption_resolution,[],[f18356,f7420]) ).
fof(f18369,plain,
ssItem(sk9),
inference(superposition,[],[f12,f18360]) ).
fof(f18418,plain,
( sk3 != sF5
| ~ ssItem(sk9)
| ~ ssItem(skaf83(sk3))
| ~ ssList(skaf82(sk3))
| nil = skaf82(sk3)
| nil = sk3 ),
inference(superposition,[],[f2202,f685]) ).
fof(f18427,plain,
( ~ ssItem(sk9)
| ~ ssItem(skaf83(sk3))
| ~ ssList(skaf82(sk3))
| nil = skaf82(sk3)
| nil = sk3 ),
inference(forward_subsumption_resolution,[],[f18418,f264]) ).
fof(f18476,plain,
( ~ ssItem(skaf83(sk3))
| ~ ssList(skaf82(sk3))
| nil = skaf82(sk3)
| nil = sk3 ),
inference(forward_subsumption_resolution,[],[f18427,f214]) ).
fof(f18501,plain,
( ~ ssList(skaf82(sk3))
| nil = skaf82(sk3)
| nil = sk3 ),
inference(forward_subsumption_resolution,[],[f18476,f12]) ).
fof(f18523,plain,
( nil = skaf82(sk3)
| nil = sk3 ),
inference(forward_subsumption_resolution,[],[f18501,f13]) ).
fof(f18524,plain,
nil = skaf82(sk3),
inference(forward_subsumption_resolution,[],[f18523,f7420]) ).
fof(f19441,plain,
( sk3 = cons(skaf83(sk3),nil)
| nil = sk3 ),
inference(superposition,[],[f685,f18524]) ).
fof(f19450,plain,
sk3 = cons(skaf83(sk3),nil),
inference(forward_subsumption_resolution,[],[f19441,f7420]) ).
fof(f19451,plain,
sk3 = cons(sk9,nil),
inference(forward_demodulation,[],[f19450,f18360]) ).
fof(f19562,plain,
sk3 = sF5,
inference(superposition,[],[f262,f19451]) ).
fof(f27561,plain,
( nil = tl(cons(sk5,sF1))
| tl(cons(sk5,sF1)) = cons(skaf83(tl(cons(sk5,sF1))),skaf82(tl(cons(sk5,sF1))))
| nil = cons(sk5,sF1) ),
inference(resolution,[],[f684,f6362]) ).
fof(f27581,plain,
( nil = tl(cons(sk5,sF1))
| tl(cons(sk5,sF1)) = cons(skaf83(tl(cons(sk5,sF1))),skaf82(tl(cons(sk5,sF1)))) ),
inference(forward_subsumption_resolution,[],[f27561,f6364]) ).
fof(f27591,plain,
( nil = sF1
| tl(cons(sk5,sF1)) = cons(skaf83(tl(cons(sk5,sF1))),skaf82(tl(cons(sk5,sF1)))) ),
inference(forward_demodulation,[],[f27581,f2257]) ).
fof(f27599,plain,
tl(cons(sk5,sF1)) = cons(skaf83(tl(cons(sk5,sF1))),skaf82(tl(cons(sk5,sF1)))),
inference(forward_subsumption_resolution,[],[f27591,f744]) ).
fof(f27606,plain,
sF1 = cons(skaf83(sF1),skaf82(sF1)),
inference(forward_demodulation,[],[f27599,f2257]) ).
fof(f29907,plain,
( ~ frontsegP(sF5,sF1)
| ~ ssList(skaf82(sF1))
| ~ ssItem(skaf83(sF1))
| ~ ssItem(sk9)
| frontsegP(nil,skaf82(sF1)) ),
inference(superposition,[],[f2372,f27606]) ).
fof(f29910,plain,
( ~ frontsegP(sF5,sF1)
| ~ ssList(skaf82(sF1))
| ~ ssItem(skaf83(sF1))
| ~ ssItem(sk9)
| sk9 = skaf83(sF1) ),
inference(superposition,[],[f2412,f27606]) ).
fof(f29935,plain,
( ~ frontsegP(sF5,sF1)
| ~ ssItem(skaf83(sF1))
| ~ ssItem(sk9)
| sk9 = skaf83(sF1) ),
inference(forward_subsumption_resolution,[],[f29910,f13]) ).
fof(f29938,plain,
( ~ frontsegP(sF5,sF1)
| ~ ssItem(skaf83(sF1))
| ~ ssItem(sk9)
| frontsegP(nil,skaf82(sF1)) ),
inference(forward_subsumption_resolution,[],[f29907,f13]) ).
fof(f29987,plain,
( ~ frontsegP(sF5,sF1)
| ~ ssItem(sk9)
| sk9 = skaf83(sF1) ),
inference(forward_subsumption_resolution,[],[f29935,f12]) ).
fof(f29990,plain,
( ~ frontsegP(sF5,sF1)
| ~ ssItem(sk9)
| frontsegP(nil,skaf82(sF1)) ),
inference(forward_subsumption_resolution,[],[f29938,f12]) ).
fof(f30027,plain,
( ~ frontsegP(sF5,sF1)
| sk9 = skaf83(sF1) ),
inference(forward_subsumption_resolution,[],[f29987,f18369]) ).
fof(f30029,plain,
( ~ frontsegP(sF5,sF1)
| frontsegP(nil,skaf82(sF1)) ),
inference(forward_subsumption_resolution,[],[f29990,f18369]) ).
fof(f30032,plain,
( ~ frontsegP(sk3,sF1)
| sk9 = skaf83(sF1) ),
inference(forward_demodulation,[],[f30027,f19562]) ).
fof(f30034,plain,
( ~ frontsegP(sk3,sF1)
| frontsegP(nil,skaf82(sF1)) ),
inference(forward_demodulation,[],[f30029,f19562]) ).
fof(f30037,plain,
sk9 = skaf83(sF1),
inference(forward_subsumption_resolution,[],[f30032,f3506]) ).
fof(f30038,plain,
frontsegP(nil,skaf82(sF1)),
inference(forward_subsumption_resolution,[],[f30034,f3506]) ).
fof(f30494,plain,
( ~ ssList(skaf82(sF1))
| nil = skaf82(sF1) ),
inference(resolution,[],[f30038,f84]) ).
fof(f30503,plain,
nil = skaf82(sF1),
inference(forward_subsumption_resolution,[],[f30494,f13]) ).
fof(f30526,plain,
sF1 = cons(skaf83(sF1),nil),
inference(superposition,[],[f27606,f30503]) ).
fof(f30536,plain,
cons(sk9,nil) = sF1,
inference(forward_demodulation,[],[f30526,f30037]) ).
fof(f30537,plain,
sF1 = sF5,
inference(forward_demodulation,[],[f30536,f262]) ).
fof(f30538,plain,
sk3 = sF1,
inference(forward_demodulation,[],[f30537,f19562]) ).
fof(f30554,plain,
( ~ frontsegP(sk3,sF3)
| sk3 = sF3 ),
inference(superposition,[],[f1107,f30538]) ).
fof(f30631,plain,
sk3 = sF3,
inference(forward_subsumption_resolution,[],[f30554,f949]) ).
fof(f30684,plain,
sk3 != sF1,
inference(superposition,[],[f4233,f30631]) ).
fof(f30729,plain,
$false,
inference(forward_subsumption_resolution,[],[f30684,f30538]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC164-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 08:21:03 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.67/4.12 % (205474)Will run a generic schedule for satisfiability detection.
% 25.67/4.12 % (205484)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=860741848:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 25.67/4.12 % (205479)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1718691444_2999 on theBenchmark for (2999ds/0Mi)
% 25.67/4.12 % (205481)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=663818843:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 25.67/4.12 % (205482)dis+10_1_sil=32000:sp=arity:random_seed=3906841600:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 25.67/4.12 % (205483)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1996639151:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 25.67/4.12 % (205485)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1749188184:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 25.67/4.12 % (205480)% WARNING: option uhcvi not known.
% 25.67/4.12 % (205480)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=642260627:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 25.67/4.12 % TRYING [1]
% 25.67/4.12 % TRYING [2]
% 25.67/4.12 % TRYING [3]
% 25.67/4.12 % (205484)Instruction limit reached!
% 25.67/4.12 % (205484)------------------------------
% 25.67/4.12 % (205484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.67/4.12 % (205484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.67/4.12 % (205484)CaDiCaL version: 2.1.3
% 25.67/4.12 % (205484)Termination reason: Instruction limit
% 25.67/4.12 % (205484)Termination phase: Saturation
% 25.67/4.12 % (205484)Time elapsed: 0.036 s
% 25.67/4.12 % (205484)Peak memory usage: 14 MB
% 25.67/4.12 % (205484)Instructions burned: 134 (million)
% 25.67/4.12 % TRYING [4]
% 25.67/4.12 % (205493)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2317643387:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 25.67/4.12 % (205482)Instruction limit reached!
% 25.67/4.12 % (205482)------------------------------
% 25.67/4.12 % (205482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.67/4.12 % (205482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.67/4.12 % (205482)CaDiCaL version: 2.1.3
% 25.67/4.12 % (205482)Termination reason: Instruction limit
% 25.67/4.12 % (205482)Termination phase: Saturation
% 25.67/4.12 % (205482)Time elapsed: 0.058 s
% 25.67/4.12 % (205482)Peak memory usage: 13 MB
% 25.67/4.12 % (205482)Instructions burned: 104 (million)
% 25.67/4.12 % (205483)Instruction limit reached!
% 25.67/4.12 % (205483)------------------------------
% 25.67/4.12 % (205483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.67/4.12 % (205483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.67/4.12 % (205483)CaDiCaL version: 2.1.3
% 25.67/4.12 % (205483)Termination reason: Instruction limit
% 25.67/4.12 % (205483)Termination phase: Saturation
% 25.67/4.12 % (205483)Time elapsed: 0.061 s
% 25.67/4.12 % (205483)Peak memory usage: 13 MB
% 25.67/4.12 % (205483)Instructions burned: 117 (million)
% 25.67/4.12 % TRYING [1]
% 25.67/4.12 % TRYING [2]
% 25.67/4.12 % TRYING [3]
% 25.67/4.12 % (205495)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2444412132:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 25.67/4.12 % (205496)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=4294920464:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 25.67/4.13 % (205485)Instruction limit reached!
% 25.67/4.13 % (205485)------------------------------
% 25.67/4.13 % (205485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.67/4.13 % (205485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.67/4.13 % (205485)CaDiCaL version: 2.1.3
% 25.67/4.13 % (205485)Termination reason: Instruction limit
% 25.67/4.13 % (205485)Termination phase: Saturation
% 25.67/4.13 % (205485)Time elapsed: 0.086 s
% 25.67/4.13 % (205485)Peak memory usage: 14 MB
% 25.67/4.13 % (205485)Instructions burned: 160 (million)
% 25.67/4.13 % TRYING [4]
% 25.67/4.13 % TRYING [5]
% 25.67/4.13 % (205499)ott-21_1_sil=16000:fs=off:random_seed=3363885821:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 25.67/4.13 % TRYING [5]
% 25.67/4.13 % (205495)Instruction limit reached!
% 25.67/4.13 % (205495)------------------------------
% 25.67/4.13 % (205495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.67/4.13 % (205495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.67 % (205495)CaDiCaL version: 2.1.3
% 36.34/5.67 % (205495)Termination reason: Instruction limit
% 36.34/5.67 % (205495)Termination phase: Saturation
% 36.34/5.67 % (205495)Time elapsed: 0.067 s
% 36.34/5.67 % (205495)Peak memory usage: 13 MB
% 36.34/5.67 % (205495)Instructions burned: 132 (million)
% 36.34/5.67 % (205501)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=790090673:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 36.34/5.67 % (205499)Instruction limit reached!
% 36.34/5.67 % (205499)------------------------------
% 36.34/5.67 % (205499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.67 % (205499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.67 % (205499)CaDiCaL version: 2.1.3
% 36.34/5.67 % (205499)Termination reason: Instruction limit
% 36.34/5.67 % (205499)Termination phase: Saturation
% 36.34/5.67 % (205499)Time elapsed: 0.087 s
% 36.34/5.67 % (205499)Peak memory usage: 13 MB
% 36.34/5.67 % (205499)Instructions burned: 180 (million)
% 36.34/5.67 % (205503)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3339629744:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 36.34/5.67 % TRYING [1]
% 36.34/5.67 % TRYING [6]
% 36.34/5.67 % TRYING [2]
% 36.34/5.67 % (205493)Instruction limit reached!
% 36.34/5.67 % (205493)------------------------------
% 36.34/5.67 % (205493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.67 % (205493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.67 % (205493)CaDiCaL version: 2.1.3
% 36.34/5.67 % (205493)Termination reason: Instruction limit
% 36.34/5.67 % (205493)Termination phase: Finite model building constraint generation
% 36.34/5.67 % (205493)Time elapsed: 0.176 s
% 36.34/5.67 % (205493)Peak memory usage: 34 MB
% 36.34/5.67 % (205493)Instructions burned: 717 (million)
% 36.34/5.67 % TRYING [3]
% 36.34/5.67 % (205505)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2755351584:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 36.34/5.67 % TRYING [6]
% 36.34/5.67 % TRYING [4]
% 36.34/5.67 % TRYING [5]
% 36.34/5.67 % (205496)Instruction limit reached!
% 36.34/5.67 % (205496)------------------------------
% 36.34/5.67 % (205496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.67 % (205496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.67 % (205496)CaDiCaL version: 2.1.3
% 36.34/5.67 % (205496)Termination reason: Instruction limit
% 36.34/5.67 % (205496)Termination phase: Saturation
% 36.34/5.67 % (205496)Time elapsed: 0.387 s
% 36.34/5.67 % (205496)Peak memory usage: 20 MB
% 36.34/5.67 % (205496)Instructions burned: 685 (million)
% 36.34/5.67 % (205507)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1758050135:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 36.34/5.67 % (205501)Instruction limit reached!
% 36.34/5.67 % (205501)------------------------------
% 36.34/5.67 % (205501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.67 % (205501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.67 % (205501)CaDiCaL version: 2.1.3
% 36.34/5.67 % (205501)Termination reason: Instruction limit
% 36.34/5.67 % (205501)Termination phase: Saturation
% 36.34/5.67 % (205501)Time elapsed: 0.325 s
% 36.34/5.67 % (205501)Peak memory usage: 15 MB
% 36.34/5.67 % (205501)Instructions burned: 477 (million)
% 36.34/5.67 % (205509)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1982696201:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 36.34/5.67 % (205503)Instruction limit reached!
% 36.34/5.67 % (205503)------------------------------
% 36.34/5.67 % (205503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.67 % (205503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.67 % (205503)CaDiCaL version: 2.1.3
% 36.34/5.67 % (205503)Termination reason: Instruction limit
% 36.34/5.67 % (205503)Termination phase: Finite model building SAT solving
% 36.34/5.67 % (205503)Time elapsed: 0.333 s
% 36.34/5.67 % (205503)Peak memory usage: 22 MB
% 36.34/5.67 % (205503)Instructions burned: 867 (million)
% 36.34/5.67 % (205511)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3276144883:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 36.34/5.67 % TRYING [14]
% 36.34/5.67 % (205505)Instruction limit reached!
% 36.34/5.67 % (205505)------------------------------
% 36.34/5.67 % (205505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.67 % (205505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.67 % (205505)CaDiCaL version: 2.1.3
% 36.34/5.67 % (205505)Termination reason: Instruction limit
% 36.34/5.67 % (205505)Termination phase: Saturation
% 36.34/5.67 % (205505)Time elapsed: 0.362 s
% 36.34/5.67 % (205505)Peak memory usage: 27 MB
% 36.34/5.67 % (205505)Instructions burned: 1180 (million)
% 36.34/5.67 % (205513)fmb+10_1_sil=64000:random_seed=3059034614:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 36.34/5.67 % TRYING [1]
% 36.34/5.67 % TRYING [2]
% 36.34/5.67 % TRYING [3]
% 36.34/5.67 % TRYING [4]
% 36.34/5.67 % TRYING [7]
% 36.34/5.67 % TRYING [5]
% 36.34/5.67 % (205507)Instruction limit reached!
% 36.34/5.67 % (205507)------------------------------
% 36.34/5.67 % (205507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.67 % (205507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.67 % (205507)CaDiCaL version: 2.1.3
% 36.34/5.67 % (205507)Termination reason: Instruction limit
% 36.34/5.67 % (205507)Termination phase: Finite model building constraint generation
% 36.34/5.67 % (205507)Time elapsed: 0.330 s
% 36.34/5.67 % (205507)Peak memory usage: 73 MB
% 36.34/5.67 % (205507)Instructions burned: 890 (million)
% 36.34/5.67 % (205515)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=775962990:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 36.34/5.67 % (205509)Instruction limit reached!
% 36.34/5.67 % (205509)------------------------------
% 36.34/5.67 % (205509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.67 % (205509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.67 % (205509)CaDiCaL version: 2.1.3
% 36.34/5.67 % (205509)Termination reason: Instruction limit
% 36.34/5.67 % (205509)Termination phase: Saturation
% 36.34/5.67 % (205509)Time elapsed: 0.338 s
% 36.34/5.67 % (205509)Peak memory usage: 18 MB
% 36.34/5.67 % (205509)Instructions burned: 692 (million)
% 36.34/5.67 % TRYING [20]
% 36.34/5.67 % (205517)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=579737957:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 36.34/5.67 % TRYING [8]
% 36.34/5.67 % TRYING [6]
% 36.34/5.67 % (205511)Instruction limit reached!
% 36.34/5.67 % (205511)------------------------------
% 36.34/5.67 % (205511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.67 % (205511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.67 % (205511)CaDiCaL version: 2.1.3
% 36.34/5.67 % (205511)Termination reason: Instruction limit
% 36.34/5.67 % (205511)Termination phase: Saturation
% 36.34/5.67 % (205511)Time elapsed: 0.463 s
% 36.34/5.67 % (205511)Peak memory usage: 20 MB
% 36.34/5.67 % (205511)Instructions burned: 879 (million)
% 36.34/5.67 % (205519)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=168913004:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 36.34/5.67 % (205517)Instruction limit reached!
% 36.34/5.67 % (205517)------------------------------
% 36.34/5.67 % (205517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.67 % (205517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.67 % (205517)CaDiCaL version: 2.1.3
% 36.34/5.67 % (205517)Termination reason: Instruction limit
% 36.34/5.67 % (205517)Termination phase: Finite model building constraint generation
% 36.34/5.67 % (205517)Time elapsed: 0.333 s
% 36.34/5.67 % (205517)Peak memory usage: 79 MB
% 36.34/5.67 % (205517)Instructions burned: 921 (million)
% 36.34/5.67 % (205521)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=971452618:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 36.34/5.67 % TRYING [7]
% 36.34/5.67 % TRYING [8]
% 36.34/5.67 % (205521)Instruction limit reached!
% 36.34/5.67 % (205521)------------------------------
% 36.34/5.67 % (205521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.67 % (205521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.67 % (205521)CaDiCaL version: 2.1.3
% 36.34/5.67 % (205521)Termination reason: Instruction limit
% 36.34/5.67 % (205521)Termination phase: Saturation
% 36.34/5.67 % (205521)Time elapsed: 0.670 s
% 36.34/5.67 % (205521)Peak memory usage: 16 MB
% 36.34/5.67 % (205521)Instructions burned: 1472 (million)
% 36.34/5.67 % (205523)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=986220376:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 36.34/5.67 % TRYING [77]
% 36.34/5.67 % TRYING [8]
% 36.34/5.67 % (205519)Instruction limit reached!
% 36.34/5.67 % (205519)------------------------------
% 36.34/5.67 % (205519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.67 % (205519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.67 % (205519)CaDiCaL version: 2.1.3
% 36.34/5.67 % (205519)Termination reason: Instruction limit
% 36.34/5.67 % (205519)Termination phase: Saturation
% 36.34/5.67 % (205519)Time elapsed: 2.630 s
% 36.34/5.67 % (205519)Peak memory usage: 54 MB
% 36.34/5.67 % (205519)Instructions burned: 5132 (million)
% 36.34/5.67 % (205525)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=96105675:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 36.34/5.67 % TRYING [16]
% 36.34/5.67 % (205515)Instruction limit reached!
% 36.34/5.67 % (205515)------------------------------
% 36.34/5.67 % (205515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.67 % (205515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.67 % (205515)CaDiCaL version: 2.1.3
% 36.34/5.67 % (205515)Termination reason: Instruction limit
% 36.34/5.67 % (205515)Termination phase: Finite model building constraint generation
% 36.34/5.67 % (205515)Time elapsed: 3.320 s
% 36.34/5.67 % (205515)Peak memory usage: 588 MB
% 36.34/5.67 % (205515)Instructions burned: 9516 (million)
% 36.34/5.67 % (205523)Instruction limit reached!
% 36.34/5.67 % (205523)------------------------------
% 36.34/5.67 % (205523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.67 % (205523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.67 % (205523)CaDiCaL version: 2.1.3
% 36.34/5.67 % (205523)Termination reason: Instruction limit
% 36.34/5.67 % (205523)Termination phase: Finite model building constraint generation
% 36.34/5.67 % (205523)Time elapsed: 2.260 s
% 36.34/5.67 % (205523)Peak memory usage: 428 MB
% 36.34/5.67 % (205523)Instructions burned: 6324 (million)
% 36.34/5.67 % (205527)ott-2_1_sil=16000:newcnf=on:random_seed=2234954610:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2957 on theBenchmark for (2957ds/869Mi)
% 36.34/5.67 % (205528)ott+10_1_sil=32000:tgt=ground:random_seed=3639417168:i=5114:av=off_2957 on theBenchmark for (2957ds/5114Mi)
% 36.34/5.67 % TRYING [9]
% 36.34/5.67 % (205525)Instruction limit reached!
% 36.34/5.67 % (205525)------------------------------
% 36.34/5.67 % (205525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.67 % (205525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.67 % (205525)CaDiCaL version: 2.1.3
% 36.34/5.67 % (205525)Termination reason: Instruction limit
% 36.34/5.67 % (205525)Termination phase: Finite model building constraint generation
% 36.34/5.67 % (205525)Time elapsed: 0.754 s
% 36.34/5.67 % (205525)Peak memory usage: 138 MB
% 36.34/5.67 % (205525)Instructions burned: 2175 (million)
% 36.34/5.67 % (205531)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4289280640:i=54282_2954 on theBenchmark for (2954ds/54282Mi)
% 36.34/5.67 % TRYING [1]
% 36.34/5.67 % TRYING [2]
% 36.34/5.67 % TRYING [3]
% 36.34/5.67 % TRYING [4]
% 36.34/5.67 % TRYING [5]
% 36.34/5.67 % TRYING [9]
% 36.34/5.67 % (205527)Instruction limit reached!
% 36.34/5.67 % (205527)------------------------------
% 36.34/5.67 % (205527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.67 % (205527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.67 % (205527)CaDiCaL version: 2.1.3
% 36.34/5.67 % (205527)Termination reason: Instruction limit
% 36.34/5.67 % (205527)Termination phase: Saturation
% 36.34/5.67 % (205527)Time elapsed: 0.454 s
% 36.34/5.67 % (205527)Peak memory usage: 23 MB
% 36.34/5.67 % (205527)Instructions burned: 870 (million)
% 36.34/5.67 % (205533)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3930316268:i=3512:aac=none_2952 on theBenchmark for (2952ds/3512Mi)
% 36.34/5.67 % TRYING [6]
% 36.34/5.67 % (205528) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-205474-205528"...
% 36.34/5.67 % (205528)...printing done.
% 36.34/5.67 % (205528)Refutation found. Thanks to Tanya!
% 36.34/5.67 % SZS status Unsatisfiable for theBenchmark
% 36.34/5.67 % SZS output start Proof for theBenchmark
% See solution above
% 36.34/5.67 % (205528)------------------------------
% 36.34/5.67 % (205528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.67 % (205528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.67 % (205528)CaDiCaL version: 2.1.3
% 36.34/5.67 % (205528)Termination reason: Refutation
% 36.34/5.67 % (205528)Time elapsed: 0.915 s
% 36.34/5.67 % (205528)Peak memory usage: 31 MB
% 36.34/5.67 % (205528)Instructions burned: 1751 (million)
% 36.34/5.67 % (205474)Success in time 5.261 s
% 36.34/5.67 % Vampire exiting
%------------------------------------------------------------------------------