%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC331-1 : 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 : n011.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 01:03:30 PM UTC 2026
% Result : Unsatisfiable 3.77s 1.23s
% Output : Refutation 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 38 ( 15 unt; 2 def)
% Number of atoms : 86 ( 7 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 96 ( 48 ~; 46 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f161,axiom,
! [X2,X0,X1] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
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,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,plain,
sk4 = app(sk3,sk5),
inference(reorient_equations,[],[f207]) ).
fof(f209,negated_conjecture,
equalelemsP(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f213,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ equalelemsP(sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f216,plain,
( ~ segmentP(sk4,sk3)
| ~ equalelemsP(sk3) ),
inference(definition_unfolding,[],[f213,f204,f205,f205]) ).
fof(f219,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f187]) ).
fof(f234,definition,
( spl0_4
<=> equalelemsP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f235,plain,
( ~ equalelemsP(sk3)
| spl0_4 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,definition,
( spl0_5
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f238,plain,
( ~ segmentP(sk4,sk3)
| spl0_5 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f239,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f216,f237,f234]) ).
fof(f442,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X0,app(X1,X2)))
| segmentP(app(app(X0,X1),X2),X1) ),
inference(forward_subsumption_demodulation,[],[f219,f161]) ).
fof(f443,plain,
! [X2,X0,X1] :
( segmentP(app(X0,app(X1,X2)),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X0,app(X1,X2)))
| ~ ssList(X2) ),
inference(forward_subsumption_demodulation,[],[f442,f161]) ).
fof(f449,plain,
! [X0] :
( segmentP(app(X0,sk4),sk3)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(app(X0,sk4))
| ~ ssList(sk5) ),
inference(superposition,[],[f443,f208]) ).
fof(f460,plain,
! [X0] :
( segmentP(app(X0,sk4),sk3)
| ~ ssList(X0)
| ~ ssList(app(X0,sk4))
| ~ ssList(sk5) ),
inference(forward_subsumption_resolution,[],[f449,f202]) ).
fof(f465,plain,
! [X0] :
( segmentP(app(X0,sk4),sk3)
| ~ ssList(X0)
| ~ ssList(app(X0,sk4)) ),
inference(forward_subsumption_resolution,[],[f460,f206]) ).
fof(f540,plain,
( segmentP(sk4,sk3)
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(sk4) ),
inference(superposition,[],[f465,f74]) ).
fof(f542,plain,
( segmentP(sk4,sk3)
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(duplicate_literal_removal,[],[f540]) ).
fof(f545,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f542,f238]) ).
fof(f548,plain,
( ~ ssList(sk4)
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f545,f8]) ).
fof(f549,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f548,f203]) ).
fof(f550,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f549]) ).
fof(f551,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f235,f209]) ).
fof(f552,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f551]) ).
cnf(s3,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f239]) ).
cnf(s10,plain,
spl0_5,
inference(sat_conversion,[],[f550]) ).
cnf(s11,plain,
spl0_4,
inference(sat_conversion,[],[f552]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s3,s10,s11]) ).
fof(f555,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC331-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n011.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 09:08:43 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.77/1.23 % (3262702)Input is clausal, will run a generic CNF schedule.
% 3.77/1.23 % (3262713)dis-21_1_sil=8000:lcm=predicate:random_seed=446764958: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)
% 3.77/1.23 % (3262713)Instruction limit reached!
% 3.77/1.23 % (3262713)------------------------------
% 3.77/1.23 % (3262713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.23 % (3262713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.23 % (3262713)CaDiCaL version: 2.1.3
% 3.77/1.23 % (3262713)Termination reason: Instruction limit
% 3.77/1.23 % (3262713)Termination phase: Saturation
% 3.77/1.23 % (3262713)Time elapsed: 0.029 s
% 3.77/1.23 % (3262713)Peak memory usage: 89 MB
% 3.77/1.23 % (3262713)Instructions burned: 120 (million)
% 3.77/1.23 % (3262712)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3157868082:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.77/1.23 % (3262707)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=3551164420:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.77/1.23 % (3262709)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2249426275:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.77/1.23 % (3262708)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4015631207:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.77/1.23 % (3262711)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3617451264:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.77/1.23 % (3262710)lrs+10_1_sil=8000:sp=occurrence:random_seed=4034387282:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.77/1.23 % (3262711)First to succeed.
% 3.77/1.23 % (3262711)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3262702"
% 3.77/1.23 % (3262710)Also succeeded, but the first one will report.
% 3.77/1.23 % (3262712)Also succeeded, but the first one will report.
% 3.77/1.23 % (3262715)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=1406081533:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.77/1.23 % (3262715)Also succeeded, but the first one will report.
% 3.77/1.23 % (3262711)Refutation found. Thanks to Tanya!
% 3.77/1.23 % SZS status Unsatisfiable for theBenchmark
% 3.77/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 3.77/1.23 % (3262711)------------------------------
% 3.77/1.23 % (3262711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.23 % (3262711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.23 % (3262711)CaDiCaL version: 2.1.3
% 3.77/1.23 % (3262711)Termination reason: Refutation
% 3.77/1.23 % (3262711)Time elapsed: 0.012 s
% 3.77/1.23 % (3262711)Peak memory usage: 89 MB
% 3.77/1.23 % (3262711)Instructions burned: 16 (million)
% 3.77/1.23 % (3262711)------------------------------
% 3.77/1.23 % (3262711)------------------------------
% 3.77/1.23 % (3262702)Success in time 0.457 s
% 3.77/1.23 % Vampire exiting
%------------------------------------------------------------------------------