%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC408-1 : 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 : n017.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 01:03:51 PM UTC 2026
% Result : Unsatisfiable 2.89s 1.17s
% Output : Refutation 2.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 13 unt; 0 def)
% Number of atoms : 27 ( 4 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 27 ( 17 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
app(sk4,sk4) = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,plain,
sk3 = app(sk4,sk4),
inference(reorient_equations,[],[f204]) ).
fof(f206,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f207,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
memberP(sk2,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f210,negated_conjecture,
~ memberP(sk1,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f213,plain,
memberP(sk4,sk5),
inference(definition_unfolding,[],[f209,f206]) ).
fof(f214,plain,
~ memberP(sk3,sk5),
inference(definition_unfolding,[],[f210,f207]) ).
fof(f228,plain,
~ memberP(app(sk4,sk4),sk5),
inference(superposition,[],[f214,f205]) ).
fof(f264,plain,
( ~ ssList(sk4)
| ~ ssList(sk4)
| ~ ssItem(sk5)
| ~ memberP(sk4,sk5) ),
inference(resolution,[],[f151,f228]) ).
fof(f273,plain,
( ~ ssList(sk4)
| ~ ssItem(sk5)
| ~ memberP(sk4,sk5) ),
inference(duplicate_literal_removal,[],[f264]) ).
fof(f274,plain,
( ~ ssItem(sk5)
| ~ memberP(sk4,sk5) ),
inference(forward_subsumption_resolution,[],[f273,f203]) ).
fof(f275,plain,
~ memberP(sk4,sk5),
inference(forward_subsumption_resolution,[],[f274,f208]) ).
fof(f276,plain,
$false,
inference(forward_subsumption_resolution,[],[f275,f213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC408-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n017.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 09:26:50 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 2.89/1.17 % (3425519)Input is clausal, will run a generic CNF schedule.
% 2.89/1.17 % (3425611)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=925891854:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.89/1.17 % (3425611)First to succeed.
% 2.89/1.17 % (3425611)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3425519"
% 2.89/1.17 % (3425609)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=693029372:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.89/1.17 % (3425607)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=1294611020:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.89/1.17 % (3425608)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=855282582:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.89/1.17 % (3425612)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=414015421:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.89/1.17 % (3425613)dis-21_1_sil=8000:lcm=predicate:random_seed=1169321783: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)
% 2.89/1.17 % (3425612)Also succeeded, but the first one will report.
% 2.89/1.17 % (3425610)lrs+10_1_sil=8000:sp=occurrence:random_seed=1617556237:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.89/1.17 % (3425610)Also succeeded, but the first one will report.
% 2.89/1.17 % (3425613)Instruction limit reached!
% 2.89/1.17 % (3425613)------------------------------
% 2.89/1.17 % (3425613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.17 % (3425613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.17 % (3425613)CaDiCaL version: 2.1.3
% 2.89/1.17 % (3425613)Termination reason: Instruction limit
% 2.89/1.17 % (3425613)Termination phase: Saturation
% 2.89/1.17 % (3425613)Time elapsed: 0.055 s
% 2.89/1.17 % (3425613)Peak memory usage: 89 MB
% 2.89/1.17 % (3425613)Instructions burned: 117 (million)
% 2.89/1.17 % (3425611)Refutation found. Thanks to Tanya!
% 2.89/1.17 % SZS status Unsatisfiable for theBenchmark
% 2.89/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.89/1.18 % (3425611)------------------------------
% 2.89/1.18 % (3425611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.18 % (3425611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.18 % (3425611)CaDiCaL version: 2.1.3
% 2.89/1.18 % (3425611)Termination reason: Refutation
% 2.89/1.18 % (3425611)Time elapsed: 0.003 s
% 2.89/1.18 % (3425611)Peak memory usage: 89 MB
% 2.89/1.18 % (3425611)Instructions burned: 4 (million)
% 2.89/1.18 % (3425611)------------------------------
% 2.89/1.18 % (3425611)------------------------------
% 2.89/1.18 % (3425519)Success in time 0.325 s
% 2.89/1.18 % Vampire exiting
%------------------------------------------------------------------------------