%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC019-1 : 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 : n012.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 01:02:04 PM UTC 2026
% Result : Unsatisfiable 2.32s 0.91s
% Output : Refutation 2.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 23 ( 10 unt; 0 def)
% Number of atoms : 52 ( 17 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 63 ( 34 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f61,axiom,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
sk4 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,plain,
sk3 = sk4,
inference(reorient_equations,[],[f206]) ).
fof(f208,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ frontsegP(sk2,X0)
| ~ frontsegP(sk1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f210,plain,
sk1 = sk4,
inference(definition_unfolding,[],[f205,f207]) ).
fof(f214,plain,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ frontsegP(sk4,X0)
| ~ frontsegP(sk4,X0) ),
inference(definition_unfolding,[],[f208,f204,f210]) ).
fof(f215,plain,
( nil != sk4
| nil != sk4 ),
inference(definition_unfolding,[],[f209,f204,f210]) ).
fof(f223,plain,
nil != sk4,
inference(duplicate_literal_removal,[],[f215]) ).
fof(f224,plain,
! [X0] :
( ~ neq(X0,nil)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0) ),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f244,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| ~ ssList(X0)
| ~ frontsegP(sk4,X0) ),
inference(resolution,[],[f102,f224]) ).
fof(f247,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| ~ frontsegP(sk4,X0) ),
inference(duplicate_literal_removal,[],[f244]) ).
fof(f248,plain,
! [X0] :
( ~ frontsegP(sk4,X0)
| nil = X0
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f247,f8]) ).
fof(f250,plain,
( nil = sk4
| ~ ssList(sk4)
| ~ ssList(sk4) ),
inference(resolution,[],[f248,f61]) ).
fof(f251,plain,
( nil = sk4
| ~ ssList(sk4) ),
inference(duplicate_literal_removal,[],[f250]) ).
fof(f252,plain,
~ ssList(sk4),
inference(forward_subsumption_resolution,[],[f251,f223]) ).
fof(f253,plain,
$false,
inference(forward_subsumption_resolution,[],[f252,f203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC019-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 28 07:26:49 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.32 Running first-order theorem proving
% 0.07/0.32 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
% 2.32/0.91 % (3213433)Input is clausal, will run a generic CNF schedule.
% 2.32/0.91 % (3213440)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=994591520:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.32/0.91 % (3213444)dis-21_1_sil=8000:lcm=predicate:random_seed=2812002970: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)
% 2.32/0.91 % (3213438)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=297175554:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.32/0.91 % (3213443)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=565603214:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.32/0.91 % (3213439)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=894385739:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.32/0.91 % (3213442)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3167099124:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.32/0.91 % (3213441)lrs+10_1_sil=8000:sp=occurrence:random_seed=4147576563:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.32/0.91 % (3213441)First to succeed.
% 2.32/0.91 % (3213442)Also succeeded, but the first one will report.
% 2.32/0.91 % (3213441)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3213433"
% 2.32/0.91 % (3213443)Also succeeded, but the first one will report.
% 2.32/0.91 % (3213444)Instruction limit reached!
% 2.32/0.91 % (3213444)------------------------------
% 2.32/0.91 % (3213444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/0.91 % (3213444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.91 % (3213444)CaDiCaL version: 2.1.3
% 2.32/0.91 % (3213444)Termination reason: Instruction limit
% 2.32/0.91 % (3213444)Termination phase: Saturation
% 2.32/0.91 % (3213444)Time elapsed: 0.027 s
% 2.32/0.91 % (3213444)Peak memory usage: 88 MB
% 2.32/0.91 % (3213444)Instructions burned: 117 (million)
% 2.32/0.91 % (3213441)Refutation found. Thanks to Tanya!
% 2.32/0.91 % SZS status Unsatisfiable for theBenchmark
% 2.32/0.91 % SZS output start Proof for theBenchmark
% See solution above
% 2.32/0.91 % (3213441)------------------------------
% 2.32/0.91 % (3213441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/0.91 % (3213441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.91 % (3213441)CaDiCaL version: 2.1.3
% 2.32/0.91 % (3213441)Termination reason: Refutation
% 2.32/0.91 % (3213441)Time elapsed: 0.002 s
% 2.32/0.91 % (3213441)Peak memory usage: 88 MB
% 2.32/0.91 % (3213441)Instructions burned: 2 (million)
% 2.32/0.91 % (3213441)------------------------------
% 2.32/0.91 % (3213441)------------------------------
% 2.32/0.91 % (3213433)Success in time 0.295 s
% 2.32/0.91 % Vampire exiting
%------------------------------------------------------------------------------