%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC007-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:02:00 PM UTC 2026
% Result : Unsatisfiable 2.69s 1.35s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 58 ( 25 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 85 ( 48 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
nil = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) != sk2
| app(X0,X2) != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f210,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) != sk4
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| app(X0,X2) != sk3 ),
inference(definition_unfolding,[],[f207,f205,f206]) ).
fof(f214,plain,
! [X0] :
( app(sk3,X0) = X0
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f74,f204]) ).
fof(f215,plain,
! [X0] :
( app(X0,sk3) = X0
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f73,f204]) ).
fof(f234,plain,
! [X0,X1] :
( app(X0,X1) != sk4
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk3)
| sk3 != app(sk3,X1)
| ~ ssList(X0) ),
inference(superposition,[],[f210,f214]) ).
fof(f238,plain,
! [X0,X1] :
( app(X0,X1) != sk4
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk3)
| sk3 != app(sk3,X1) ),
inference(duplicate_literal_removal,[],[f234]) ).
fof(f242,plain,
! [X0,X1] :
( app(X0,X1) != sk4
| ~ ssList(X0)
| ~ ssList(X1)
| sk3 != app(sk3,X1) ),
inference(forward_subsumption_resolution,[],[f238,f202]) ).
fof(f245,plain,
! [X0,X1] :
( app(X0,X1) != sk4
| ~ ssList(X0)
| ~ ssList(X1)
| sk3 != X1 ),
inference(forward_subsumption_demodulation,[],[f242,f214]) ).
fof(f297,plain,
! [X0] :
( sk4 != X0
| ~ ssList(X0)
| ~ ssList(sk3)
| sk3 != sk3
| ~ ssList(X0) ),
inference(superposition,[],[f245,f215]) ).
fof(f298,plain,
! [X0] :
( sk4 != X0
| ~ ssList(X0)
| ~ ssList(sk3)
| sk3 != sk3 ),
inference(duplicate_literal_removal,[],[f297]) ).
fof(f299,plain,
! [X0] :
( sk4 != X0
| ~ ssList(X0)
| ~ ssList(sk3) ),
inference(trivial_inequality_removal,[],[f298]) ).
fof(f301,plain,
! [X0] :
( sk4 != X0
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f299,f202]) ).
fof(f353,plain,
~ ssList(sk4),
inference(equality_resolution,[],[f301]) ).
fof(f354,plain,
$false,
inference(forward_subsumption_resolution,[],[f353,f203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC007-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n006.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 07:24:57 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
% 2.69/1.35 % (3792688)Input is clausal, will run a generic CNF schedule.
% 2.69/1.35 % (3792697)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=381042655:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.69/1.35 % (3792697)First to succeed.
% 2.69/1.35 % (3792697)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3792688"
% 2.69/1.35 % (3792698)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=938333342:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.69/1.35 % (3792695)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1572261550:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.69/1.35 % (3792696)lrs+10_1_sil=8000:sp=occurrence:random_seed=3662544155:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.69/1.35 % (3792693)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=3541730500:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.69/1.35 % (3792694)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1781682615:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.69/1.35 % (3792699)dis-21_1_sil=8000:lcm=predicate:random_seed=3001281485: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)
% 2.69/1.35 % (3792698)Also succeeded, but the first one will report.
% 2.69/1.35 % (3792696)Also succeeded, but the first one will report.
% 2.69/1.35 % (3792699)Instruction limit reached!
% 2.69/1.35 % (3792699)------------------------------
% 2.69/1.35 % (3792699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.35 % (3792699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.35 % (3792699)CaDiCaL version: 2.1.3
% 2.69/1.35 % (3792699)Termination reason: Instruction limit
% 2.69/1.35 % (3792699)Termination phase: Saturation
% 2.69/1.35 % (3792699)Time elapsed: 0.070 s
% 2.69/1.35 % (3792699)Peak memory usage: 90 MB
% 2.69/1.35 % (3792699)Instructions burned: 117 (million)
% 2.69/1.35 % (3792697)Refutation found. Thanks to Tanya!
% 2.69/1.35 % SZS status Unsatisfiable for theBenchmark
% 2.69/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 2.69/1.35 % (3792697)------------------------------
% 2.69/1.35 % (3792697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.35 % (3792697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.35 % (3792697)CaDiCaL version: 2.1.3
% 2.69/1.35 % (3792697)Termination reason: Refutation
% 2.69/1.35 % (3792697)Time elapsed: 0.003 s
% 2.69/1.35 % (3792697)Peak memory usage: 89 MB
% 2.69/1.35 % (3792697)Instructions burned: 7 (million)
% 2.69/1.35 % (3792697)------------------------------
% 2.69/1.35 % (3792697)------------------------------
% 2.69/1.35 % (3792688)Success in time 0.296 s
% 2.69/1.35 % Vampire exiting
%------------------------------------------------------------------------------