%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC041-1 : 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 : n013.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 3.64s 1.48s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 33 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 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 : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f121,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
inference(reorient_equations,[],[f121]) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f204,negated_conjecture,
nil = sk2,
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,
nil != sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
sk4 = app(sk3,sk5),
inference(reorient_equations,[],[f209]) ).
fof(f215,plain,
nil = sk4,
inference(definition_unfolding,[],[f204,f205]) ).
fof(f218,plain,
sk3 != sk4,
inference(definition_unfolding,[],[f207,f215,f206]) ).
fof(f222,plain,
! [X0,X1] :
( app(X0,X1) != sk4
| ~ ssList(X1)
| ~ ssList(X0)
| sk4 = X0 ),
inference(definition_unfolding,[],[f122,f215,f215]) ).
fof(f244,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk3)
| sk3 = sk4 ),
inference(superposition,[],[f222,f210]) ).
fof(f247,plain,
( ~ ssList(sk5)
| ~ ssList(sk3)
| sk3 = sk4 ),
inference(trivial_inequality_removal,[],[f244]) ).
fof(f248,plain,
( ~ ssList(sk3)
| sk3 = sk4 ),
inference(forward_subsumption_resolution,[],[f247,f208]) ).
fof(f249,plain,
sk3 = sk4,
inference(forward_subsumption_resolution,[],[f248,f202]) ).
fof(f250,plain,
$false,
inference(forward_subsumption_resolution,[],[f249,f218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC041-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n013.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 07:34:21 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 3.64/1.48 % (1005004)Input is clausal, will run a generic CNF schedule.
% 3.64/1.48 % (1005010)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1746643953:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.64/1.48 % (1005013)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=253277819:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.64/1.48 % (1005009)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=2953938361:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.64/1.48 % (1005012)lrs+10_1_sil=8000:sp=occurrence:random_seed=2565224211:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.64/1.48 % (1005014)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2245968687:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.64/1.48 % (1005015)dis-21_1_sil=8000:lcm=predicate:random_seed=2506375634: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)
% 3.64/1.48 % (1005011)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1588509109:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.64/1.48 % (1005012)Also succeeded, but the first one will report.
% 3.64/1.48 % (1005013)First to succeed.
% 3.64/1.48 % (1005013)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1005004"
% 3.64/1.48 % (1005015)Also succeeded, but the first one will report.
% 3.64/1.48 % (1005014)Also succeeded, but the first one will report.
% 3.64/1.48 % (1005013)Refutation found. Thanks to Tanya!
% 3.64/1.48 % SZS status Unsatisfiable for theBenchmark
% 3.64/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.48 % (1005013)------------------------------
% 3.64/1.48 % (1005013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.48 % (1005013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.48 % (1005013)CaDiCaL version: 2.1.3
% 3.64/1.48 % (1005013)Termination reason: Refutation
% 3.64/1.48 % (1005013)Time elapsed: 0.003 s
% 3.64/1.48 % (1005013)Peak memory usage: 89 MB
% 3.64/1.48 % (1005013)Instructions burned: 2 (million)
% 3.64/1.48 % (1005013)------------------------------
% 3.64/1.48 % (1005013)------------------------------
% 3.64/1.48 % (1005004)Success in time 0.437 s
% 3.64/1.48 % Vampire exiting
%------------------------------------------------------------------------------