%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC094-1 : 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 : 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 01:02:25 PM UTC 2026
% Result : Unsatisfiable 3.57s 1.49s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 38 ( 17 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 48 ( 28 ~; 20 |; 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
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,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) != sk1
| app(X0,X2) != sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f209,plain,
sk1 = sk4,
inference(definition_unfolding,[],[f205,f207]) ).
fof(f213,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) != sk4
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| app(X0,X2) != sk4 ),
inference(definition_unfolding,[],[f208,f209,f204]) ).
fof(f217,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f203]) ).
fof(f219,plain,
! [X0] :
( sk4 != app(sk4,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk4)
| sk4 != app(sk4,X0) ),
inference(superposition,[],[f213,f217]) ).
fof(f220,plain,
! [X0] :
( sk4 != app(sk4,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk4) ),
inference(duplicate_literal_removal,[],[f219]) ).
fof(f221,plain,
! [X0] :
( sk4 != app(sk4,X0)
| ~ ssList(X0)
| ~ ssList(sk4) ),
inference(forward_subsumption_resolution,[],[f220,f8]) ).
fof(f222,plain,
! [X0] :
( sk4 != app(sk4,X0)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f221,f203]) ).
fof(f230,plain,
( sk4 != sk4
| ~ ssList(nil) ),
inference(superposition,[],[f222,f217]) ).
fof(f231,plain,
~ ssList(nil),
inference(trivial_inequality_removal,[],[f230]) ).
fof(f232,plain,
$false,
inference(forward_subsumption_resolution,[],[f231,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC094-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 07:45:21 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 3.57/1.49 % (3382089)Input is clausal, will run a generic CNF schedule.
% 3.57/1.49 % (3382094)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=2939876060:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.57/1.49 % (3382097)lrs+10_1_sil=8000:sp=occurrence:random_seed=1071629760:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.57/1.49 % (3382096)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1217684365:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.57/1.49 % (3382095)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3099768488:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.57/1.49 % (3382098)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1023118908:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.57/1.49 % (3382097)First to succeed.
% 3.57/1.49 % (3382098)Also succeeded, but the first one will report.
% 3.57/1.49 % (3382097)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3382089"
% 3.57/1.49 % (3382100)dis-21_1_sil=8000:lcm=predicate:random_seed=1330331341: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)
% 3.57/1.49 % (3382099)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=769447584:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.57/1.49 % (3382099)Also succeeded, but the first one will report.
% 3.57/1.49 % (3382100)Instruction limit reached!
% 3.57/1.49 % (3382100)------------------------------
% 3.57/1.49 % (3382100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.49 % (3382100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.49 % (3382100)CaDiCaL version: 2.1.3
% 3.57/1.49 % (3382100)Termination reason: Instruction limit
% 3.57/1.49 % (3382100)Termination phase: Saturation
% 3.57/1.49 % (3382100)Time elapsed: 0.050 s
% 3.57/1.49 % (3382100)Peak memory usage: 89 MB
% 3.57/1.49 % (3382100)Instructions burned: 118 (million)
% 3.57/1.49 % (3382108)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=4275567287:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.57/1.49 % (3382108)Also succeeded, but the first one will report.
% 3.57/1.49 % (3382097)Refutation found. Thanks to Tanya!
% 3.57/1.49 % SZS status Unsatisfiable for theBenchmark
% 3.57/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.57/1.49 % (3382097)------------------------------
% 3.57/1.49 % (3382097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.49 % (3382097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.49 % (3382097)CaDiCaL version: 2.1.3
% 3.57/1.49 % (3382097)Termination reason: Refutation
% 3.57/1.49 % (3382097)Time elapsed: 0.003 s
% 3.57/1.49 % (3382097)Peak memory usage: 88 MB
% 3.57/1.49 % (3382097)Instructions burned: 2 (million)
% 3.57/1.49 % (3382097)------------------------------
% 3.57/1.49 % (3382097)------------------------------
% 3.57/1.49 % (3382089)Success in time 0.432 s
% 3.57/1.49 % Vampire exiting
%------------------------------------------------------------------------------