%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC009-1 : 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 : n009.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 01:02:01 PM UTC 2026
% Result : Unsatisfiable 3.40s 1.38s
% Output : Refutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 41 ( 21 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 50 ( 29 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
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,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) != sk2
| app(X0,X2) != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
sk4 = app(sk3,sk5),
inference(reorient_equations,[],[f208]) ).
fof(f216,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) != sk4
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| app(X0,X2) != sk3 ),
inference(definition_unfolding,[],[f206,f204,f205]) ).
fof(f233,plain,
! [X0] :
( sk4 != app(sk4,X0)
| ~ ssList(sk5)
| ~ ssList(X0)
| ~ ssList(sk3)
| sk3 != app(sk3,X0) ),
inference(superposition,[],[f216,f209]) ).
fof(f234,plain,
! [X0] :
( sk4 != app(sk4,X0)
| ~ ssList(X0)
| ~ ssList(sk3)
| sk3 != app(sk3,X0) ),
inference(forward_subsumption_resolution,[],[f233,f207]) ).
fof(f235,plain,
! [X0] :
( sk4 != app(sk4,X0)
| ~ ssList(X0)
| sk3 != app(sk3,X0) ),
inference(forward_subsumption_resolution,[],[f234,f202]) ).
fof(f237,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f73,f202]) ).
fof(f238,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f203]) ).
fof(f247,plain,
( sk4 != sk4
| ~ ssList(nil)
| sk3 != app(sk3,nil) ),
inference(superposition,[],[f235,f238]) ).
fof(f249,plain,
( ~ ssList(nil)
| sk3 != app(sk3,nil) ),
inference(trivial_inequality_removal,[],[f247]) ).
fof(f251,plain,
sk3 != app(sk3,nil),
inference(forward_subsumption_resolution,[],[f249,f8]) ).
fof(f253,plain,
$false,
inference(forward_subsumption_resolution,[],[f251,f237]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC009-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n009.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 07:25:31 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 3.40/1.38 % (2859005)Input is clausal, will run a generic CNF schedule.
% 3.40/1.38 % (2859016)dis-21_1_sil=8000:lcm=predicate:random_seed=839313685: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)
% 3.40/1.38 % (2859016)Instruction limit reached!
% 3.40/1.38 % (2859016)------------------------------
% 3.40/1.38 % (2859016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.38 % (2859016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.38 % (2859016)CaDiCaL version: 2.1.3
% 3.40/1.38 % (2859016)Termination reason: Instruction limit
% 3.40/1.38 % (2859016)Termination phase: Saturation
% 3.40/1.38 % (2859016)Time elapsed: 0.028 s
% 3.40/1.38 % (2859016)Peak memory usage: 89 MB
% 3.40/1.38 % (2859016)Instructions burned: 119 (million)
% 3.40/1.38 % (2859013)lrs+10_1_sil=8000:sp=occurrence:random_seed=2238920709:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.40/1.38 % (2859011)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2432092699:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.40/1.38 % (2859014)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1936004582:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.40/1.38 % (2859012)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1531038055:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.40/1.38 % (2859010)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=1930664788:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.40/1.38 % (2859015)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1449715603:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.40/1.38 % (2859013)First to succeed.
% 3.40/1.38 % (2859014)Also succeeded, but the first one will report.
% 3.40/1.38 % (2859013)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2859005"
% 3.40/1.38 % (2859015)Also succeeded, but the first one will report.
% 3.40/1.38 % (2859018)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=2009640953:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.40/1.38 % (2859018)Also succeeded, but the first one will report.
% 3.40/1.38 % (2859013)Refutation found. Thanks to Tanya!
% 3.40/1.38 % SZS status Unsatisfiable for theBenchmark
% 3.40/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 3.40/1.38 % (2859013)------------------------------
% 3.40/1.38 % (2859013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.38 % (2859013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.38 % (2859013)CaDiCaL version: 2.1.3
% 3.40/1.38 % (2859013)Termination reason: Refutation
% 3.40/1.38 % (2859013)Time elapsed: 0.004 s
% 3.40/1.38 % (2859013)Peak memory usage: 89 MB
% 3.40/1.38 % (2859013)Instructions burned: 4 (million)
% 3.40/1.38 % (2859013)------------------------------
% 3.40/1.38 % (2859013)------------------------------
% 3.40/1.38 % (2859005)Success in time 0.413 s
% 3.40/1.38 % Vampire exiting
%------------------------------------------------------------------------------