%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC044-1 : 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 : 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 01:02:10 PM UTC 2026
% Result : Unsatisfiable 2.87s 1.37s
% Output : Refutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 10 unt; 0 def)
% Number of atoms : 18 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f82,axiom,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f204,negated_conjecture,
nil = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
rearsegP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
nil = sk4,
inference(definition_unfolding,[],[f204,f205]) ).
fof(f212,plain,
sk3 != sk4,
inference(definition_unfolding,[],[f208,f209,f206]) ).
fof(f219,plain,
! [X0] :
( ~ rearsegP(sk4,X0)
| ~ ssList(X0)
| sk4 = X0 ),
inference(definition_unfolding,[],[f82,f209,f209]) ).
fof(f240,plain,
( ~ ssList(sk3)
| sk3 = sk4 ),
inference(resolution,[],[f219,f207]) ).
fof(f244,plain,
sk3 = sk4,
inference(forward_subsumption_resolution,[],[f240,f202]) ).
fof(f245,plain,
$false,
inference(forward_subsumption_resolution,[],[f244,f212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC044-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 07:41:17 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 2.87/1.37 % (190732)Input is clausal, will run a generic CNF schedule.
% 2.87/1.37 % (190741)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3408522864:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.87/1.37 % (190741)First to succeed.
% 2.87/1.37 % (190741)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-190732"
% 2.87/1.37 % (190740)lrs+10_1_sil=8000:sp=occurrence:random_seed=1778886423:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.87/1.37 % (190737)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=359959613:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.87/1.37 % (190738)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2734928075:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.87/1.37 % (190739)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4052408359:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.87/1.37 % (190743)dis-21_1_sil=8000:lcm=predicate:random_seed=2055454250: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)
% 2.87/1.37 % (190742)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1555494037:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.87/1.37 % (190740)Also succeeded, but the first one will report.
% 2.87/1.37 % (190743)Also succeeded, but the first one will report.
% 2.87/1.37 % (190742)Also succeeded, but the first one will report.
% 2.87/1.37 % (190741)Refutation found. Thanks to Tanya!
% 2.87/1.37 % SZS status Unsatisfiable for theBenchmark
% 2.87/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 2.87/1.37 % (190741)------------------------------
% 2.87/1.37 % (190741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.37 % (190741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.37 % (190741)CaDiCaL version: 2.1.3
% 2.87/1.37 % (190741)Termination reason: Refutation
% 2.87/1.37 % (190741)Time elapsed: 0.002 s
% 2.87/1.37 % (190741)Peak memory usage: 89 MB
% 2.87/1.37 % (190741)Instructions burned: 2 (million)
% 2.87/1.37 % (190741)------------------------------
% 2.87/1.37 % (190741)------------------------------
% 2.87/1.37 % (190732)Success in time 0.325 s
% 2.87/1.37 % Vampire exiting
%------------------------------------------------------------------------------