%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC122-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 01:02:33 PM UTC 2026
% Result : Unsatisfiable 2.10s 0.89s
% Output : Refutation 2.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of formulae : 62 ( 18 unt; 6 def)
% Number of atoms : 144 ( 8 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 161 ( 79 ~; 76 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f142,axiom,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
( ~ neq(sk1,nil)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( ~ neq(sk4,nil)
| rearsegP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f225,plain,
! [X2,X0,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f187]) ).
fof(f242,definition,
( spl0_1
<=> rearsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f244,plain,
( rearsegP(sk4,sk3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f246,definition,
( spl0_2
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f249,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f210,f246,f242]) ).
fof(f251,definition,
( spl0_3
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f253,plain,
( neq(sk3,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f254,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f209,f246,f251]) ).
fof(f256,definition,
( spl0_4
<=> segmentP(sk2,sk1) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f258,plain,
( ~ segmentP(sk2,sk1)
| spl0_4 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f260,definition,
( spl0_5
<=> neq(sk1,nil) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f262,plain,
( ~ neq(sk1,nil)
| spl0_5 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f263,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f208,f260,f256]) ).
fof(f278,definition,
( spl0_9
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f279,plain,
( ssList(nil)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f314,plain,
spl0_9,
inference(avatar_split_clause,[],[f8,f278]) ).
fof(f317,plain,
neq(sk4,nil),
inference(forward_demodulation,[],[f206,f204]) ).
fof(f318,plain,
spl0_2,
inference(avatar_split_clause,[],[f317,f246]) ).
fof(f319,plain,
( ~ neq(sk3,nil)
| spl0_5 ),
inference(forward_demodulation,[],[f262,f205]) ).
fof(f320,plain,
( $false
| ~ spl0_3
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f319,f253]) ).
fof(f321,plain,
( ~ spl0_3
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f322,plain,
( ~ segmentP(sk2,sk3)
| spl0_4 ),
inference(forward_demodulation,[],[f258,f205]) ).
fof(f324,plain,
( ~ segmentP(sk4,sk3)
| spl0_4 ),
inference(forward_demodulation,[],[f322,f204]) ).
fof(f422,plain,
( ~ ssList(sk3)
| ~ ssList(sk4)
| sk4 = app(skaf46(sk4,sk3),sk3)
| ~ spl0_1 ),
inference(resolution,[],[f142,f244]) ).
fof(f431,plain,
( ~ ssList(sk4)
| sk4 = app(skaf46(sk4,sk3),sk3)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f422,f202]) ).
fof(f432,plain,
( sk4 = app(skaf46(sk4,sk3),sk3)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f431,f203]) ).
fof(f639,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| segmentP(app(X0,X1),X1)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[],[f225,f73]) ).
fof(f640,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| segmentP(app(X0,X1),X1) ),
inference(duplicate_literal_removal,[],[f639]) ).
fof(f646,plain,
( ! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f640,f279]) ).
fof(f650,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f646,f85]) ).
fof(f941,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk3)
| ~ ssList(skaf46(sk4,sk3))
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f650,f432]) ).
fof(f950,plain,
( ~ ssList(sk3)
| ~ ssList(skaf46(sk4,sk3))
| ~ spl0_1
| spl0_4
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f941,f324]) ).
fof(f956,plain,
( ~ ssList(skaf46(sk4,sk3))
| ~ spl0_1
| spl0_4
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f950,f202]) ).
fof(f958,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f956,f50]) ).
fof(f959,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f958]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f249]) ).
cnf(s2,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f254]) ).
cnf(s3,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f263]) ).
cnf(s14,plain,
spl0_9,
inference(sat_conversion,[],[f314]) ).
cnf(s15,plain,
spl0_2,
inference(sat_conversion,[],[f318]) ).
cnf(s16,plain,
( ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f321]) ).
cnf(s34,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_9 ),
inference(sat_conversion,[],[f959]) ).
cnf(s40,plain,
spl0_3,
inference(rat,[],[s2,s15]) ).
cnf(s41,plain,
spl0_5,
inference(rat,[],[s16,s40]) ).
cnf(s42,plain,
~ spl0_4,
inference(rat,[],[s3,s41]) ).
cnf(s43,plain,
~ spl0_1,
inference(rat,[],[s34,s14,s42]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s1,s15,s43]) ).
fof(f960,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC122-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 28 08:01:24 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.10/0.89 % (3225451)Input is clausal, will run a generic CNF schedule.
% 2.10/0.89 % (3225458)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1721004815:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.10/0.89 % (3225456)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=617331444:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.10/0.89 % (3225460)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3867252267:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.10/0.89 % (3225457)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2187289654:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.10/0.89 % (3225459)lrs+10_1_sil=8000:sp=occurrence:random_seed=3957867372:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.10/0.89 % (3225461)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2543933932:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.10/0.89 % (3225462)dis-21_1_sil=8000:lcm=predicate:random_seed=1992561745:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.10/0.89 % (3225461)First to succeed.
% 2.10/0.89 % (3225461)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3225451"
% 2.10/0.89 % (3225460)Instruction limit reached!
% 2.10/0.89 % (3225460)------------------------------
% 2.10/0.89 % (3225460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.10/0.89 % (3225460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.89 % (3225460)CaDiCaL version: 2.1.3
% 2.10/0.89 % (3225460)Termination reason: Instruction limit
% 2.10/0.89 % (3225460)Termination phase: Saturation
% 2.10/0.89 % (3225460)Time elapsed: 0.031 s
% 2.10/0.89 % (3225460)Peak memory usage: 88 MB
% 2.10/0.89 % (3225460)Instructions burned: 116 (million)
% 2.10/0.89 % (3225459)Instruction limit reached!
% 2.10/0.89 % (3225459)------------------------------
% 2.10/0.89 % (3225459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.10/0.89 % (3225459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.89 % (3225459)CaDiCaL version: 2.1.3
% 2.10/0.89 % (3225459)Termination reason: Instruction limit
% 2.10/0.89 % (3225459)Termination phase: Saturation
% 2.10/0.89 % (3225459)Time elapsed: 0.035 s
% 2.10/0.89 % (3225459)Peak memory usage: 89 MB
% 2.10/0.89 % (3225459)Instructions burned: 108 (million)
% 2.10/0.89 % (3225462)Instruction limit reached!
% 2.10/0.89 % (3225462)------------------------------
% 2.10/0.89 % (3225462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.10/0.89 % (3225462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.89 % (3225462)CaDiCaL version: 2.1.3
% 2.10/0.89 % (3225462)Termination reason: Instruction limit
% 2.10/0.89 % (3225462)Termination phase: Saturation
% 2.10/0.89 % (3225462)Time elapsed: 0.027 s
% 2.10/0.89 % (3225462)Peak memory usage: 88 MB
% 2.10/0.89 % (3225462)Instructions burned: 121 (million)
% 2.10/0.89 % (3225470)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2913921889:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.10/0.89 % (3225472)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1031600911:st=4:i=219:sd=3:ss=axioms_2998 on theBenchmark for (2998ds/219Mi)
% 2.10/0.89 % (3225471)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=81203607:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 2.10/0.89 % (3225471)Also succeeded, but the first one will report.
% 2.10/0.89 % (3225461)Refutation found. Thanks to Tanya!
% 2.10/0.89 % SZS status Unsatisfiable for theBenchmark
% 2.10/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 2.10/0.89 % (3225461)------------------------------
% 2.10/0.89 % (3225461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.10/0.89 % (3225461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.89 % (3225461)CaDiCaL version: 2.1.3
% 2.10/0.89 % (3225461)Termination reason: Refutation
% 2.10/0.89 % (3225461)Time elapsed: 0.011 s
% 2.10/0.89 % (3225461)Peak memory usage: 90 MB
% 2.10/0.89 % (3225461)Instructions burned: 27 (million)
% 2.10/0.89 % (3225461)------------------------------
% 2.10/0.89 % (3225461)------------------------------
% 2.10/0.89 % (3225451)Success in time 0.276 s
% 2.10/0.89 % Vampire exiting
%------------------------------------------------------------------------------