%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC373-1 : 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 : n018.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 01:03:41 PM UTC 2026
% Result : Unsatisfiable 4.06s 1.35s
% Output : Refutation 4.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 34 ( 18 unt; 1 def)
% Number of atoms : 81 ( 6 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 97 ( 50 ~; 46 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f85,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f142,axiom,
! [X0,X1] :
( app(skaf46(X0,X1),X1) = X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
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/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f200,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f201,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
rearsegP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
~ segmentP(sk2,sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f187]) ).
fof(f243,definition,
( spl0_2
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f244,plain,
( ssList(nil)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f279,plain,
spl0_2,
inference(avatar_split_clause,[],[f8,f243]) ).
fof(f282,plain,
rearsegP(sk4,sk1),
inference(forward_demodulation,[],[f206,f205]) ).
fof(f283,plain,
rearsegP(sk2,sk1),
inference(forward_demodulation,[],[f282,f204]) ).
fof(f380,plain,
! [X2,X0,X1] :
( ~ ssList(app(X0,X2))
| ~ ssList(skaf46(X0,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(app(X0,X2),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[],[f222,f142]) ).
fof(f384,plain,
! [X2,X0,X1] :
( ~ ssList(app(X0,X2))
| ~ ssList(skaf46(X0,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(duplicate_literal_removal,[],[f380]) ).
fof(f520,plain,
sk2 = app(sk2,nil),
inference(resolution,[],[f73,f201]) ).
fof(f1385,plain,
! [X2,X0,X1] :
( ~ ssList(skaf46(X0,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[],[f384,f85]) ).
fof(f1386,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X2)
| segmentP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f1385,f50]) ).
fof(f1401,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(app(sk2,X0),sk1)
| ~ ssList(sk2)
| ~ ssList(sk1) ),
inference(resolution,[],[f1386,f283]) ).
fof(f1410,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(app(sk2,X0),sk1)
| ~ ssList(sk1) ),
inference(forward_subsumption_resolution,[],[f1401,f201]) ).
fof(f1418,plain,
! [X0] :
( segmentP(app(sk2,X0),sk1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f1410,f200]) ).
fof(f1441,plain,
( segmentP(sk2,sk1)
| ~ ssList(nil) ),
inference(superposition,[],[f1418,f520]) ).
fof(f1442,plain,
~ ssList(nil),
inference(forward_subsumption_resolution,[],[f1441,f207]) ).
fof(f1446,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1442,f244]) ).
fof(f1447,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1446]) ).
cnf(s10,plain,
spl0_2,
inference(sat_conversion,[],[f279]) ).
cnf(s29,plain,
~ spl0_2,
inference(sat_conversion,[],[f1447]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s10,s29]) ).
fof(f1448,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC373-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n018.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 09:22:39 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 4.06/1.35 % (3247857)Input is clausal, will run a generic CNF schedule.
% 4.06/1.35 % (3247868)dis-21_1_sil=8000:lcm=predicate:random_seed=244882741: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)
% 4.06/1.35 % (3247868)Instruction limit reached!
% 4.06/1.35 % (3247868)------------------------------
% 4.06/1.35 % (3247868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.35 % (3247868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.35 % (3247868)CaDiCaL version: 2.1.3
% 4.06/1.35 % (3247868)Termination reason: Instruction limit
% 4.06/1.35 % (3247868)Termination phase: Saturation
% 4.06/1.35 % (3247868)Time elapsed: 0.028 s
% 4.06/1.35 % (3247868)Peak memory usage: 89 MB
% 4.06/1.35 % (3247868)Instructions burned: 122 (million)
% 4.06/1.35 % (3247867)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1023955002:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.06/1.35 % (3247864)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2455045125:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.06/1.35 % (3247862)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=403678911:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.06/1.35 % (3247866)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=214352139:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.06/1.35 % (3247865)lrs+10_1_sil=8000:sp=occurrence:random_seed=3380742096:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.06/1.35 % (3247863)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=590485250:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.06/1.35 % (3247867)First to succeed.
% 4.06/1.35 % (3247867)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3247857"
% 4.06/1.35 % (3247866)Instruction limit reached!
% 4.06/1.35 % (3247866)------------------------------
% 4.06/1.35 % (3247866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.35 % (3247866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.35 % (3247866)CaDiCaL version: 2.1.3
% 4.06/1.35 % (3247866)Termination reason: Instruction limit
% 4.06/1.35 % (3247866)Termination phase: Saturation
% 4.06/1.35 % (3247866)Time elapsed: 0.057 s
% 4.06/1.35 % (3247866)Peak memory usage: 88 MB
% 4.06/1.35 % (3247866)Instructions burned: 115 (million)
% 4.06/1.35 % (3247865)Instruction limit reached!
% 4.06/1.35 % (3247865)------------------------------
% 4.06/1.35 % (3247865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.35 % (3247865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.35 % (3247865)CaDiCaL version: 2.1.3
% 4.06/1.35 % (3247865)Termination reason: Instruction limit
% 4.06/1.35 % (3247865)Termination phase: Saturation
% 4.06/1.35 % (3247865)Time elapsed: 0.067 s
% 4.06/1.35 % (3247865)Peak memory usage: 90 MB
% 4.06/1.35 % (3247865)Instructions burned: 108 (million)
% 4.06/1.35 % (3247876)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=3754135308:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.06/1.35 % (3247876)Instruction limit reached!
% 4.06/1.35 % (3247876)------------------------------
% 4.06/1.35 % (3247876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.35 % (3247876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.35 % (3247876)CaDiCaL version: 2.1.3
% 4.06/1.35 % (3247876)Termination reason: Instruction limit
% 4.06/1.35 % (3247876)Termination phase: Saturation
% 4.06/1.35 % (3247876)Time elapsed: 0.047 s
% 4.06/1.35 % (3247876)Peak memory usage: 89 MB
% 4.06/1.35 % (3247876)Instructions burned: 146 (million)
% 4.06/1.35 % (3247877)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=934564160:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.06/1.35 % (3247878)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4113812526:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.06/1.35 % (3247880)lrs+10_64_to=lpo:sil=8000:random_seed=2316831483:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 4.06/1.35 % (3247867)Refutation found. Thanks to Tanya!
% 4.06/1.35 % SZS status Unsatisfiable for theBenchmark
% 4.06/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 4.06/1.35 % (3247867)------------------------------
% 4.06/1.35 % (3247867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.35 % (3247867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.35 % (3247867)CaDiCaL version: 2.1.3
% 4.06/1.35 % (3247867)Termination reason: Refutation
% 4.06/1.35 % (3247867)Time elapsed: 0.031 s
% 4.06/1.35 % (3247867)Peak memory usage: 90 MB
% 4.06/1.35 % (3247867)Instructions burned: 43 (million)
% 4.06/1.35 % (3247867)------------------------------
% 4.06/1.35 % (3247867)------------------------------
% 4.06/1.35 % (3247857)Success in time 0.484 s
% 4.06/1.35 % Vampire exiting
%------------------------------------------------------------------------------