%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC008-1 : 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 : n026.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 01:02:01 PM UTC 2026
% Result : Unsatisfiable 3.74s 1.41s
% Output : Refutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 38 ( 15 unt; 2 def)
% Number of atoms : 91 ( 23 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 118 ( 65 ~; 51 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f143,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
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,
frontsegP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) != sk2
| app(X0,X2) != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f245,definition,
( spl0_2
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f246,plain,
( ssList(nil)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f281,plain,
spl0_2,
inference(avatar_split_clause,[],[f8,f245]) ).
fof(f284,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) != sk4
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X0,X2) != sk1 ),
inference(forward_demodulation,[],[f208,f204]) ).
fof(f285,plain,
! [X2,X0,X1] :
( app(X0,X2) != sk3
| app(app(X0,X1),X2) != sk4
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(forward_demodulation,[],[f284,f205]) ).
fof(f299,plain,
! [X0,X1] :
( sk3 != X0
| sk4 != app(app(X0,X1),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f285,f73]) ).
fof(f300,plain,
! [X0,X1] :
( sk3 != X0
| sk4 != app(app(X0,X1),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f299]) ).
fof(f301,plain,
( ! [X0,X1] :
( sk3 != X0
| sk4 != app(app(X0,X1),nil)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f300,f246]) ).
fof(f302,plain,
( ! [X0] :
( sk4 != app(app(sk3,X0),nil)
| ~ ssList(sk3)
| ~ ssList(X0) )
| ~ spl0_2 ),
inference(equality_resolution,[],[f301]) ).
fof(f303,plain,
( ! [X0] :
( sk4 != app(app(sk3,X0),nil)
| ~ ssList(X0) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f302,f202]) ).
fof(f349,plain,
( ! [X0] :
( sk4 != app(sk3,X0)
| ~ ssList(X0)
| ~ ssList(app(sk3,X0)) )
| ~ spl0_2 ),
inference(superposition,[],[f303,f73]) ).
fof(f469,plain,
( ~ ssList(sk3)
| ~ ssList(sk4)
| sk4 = app(sk3,skaf45(sk4,sk3)) ),
inference(resolution,[],[f143,f206]) ).
fof(f474,plain,
( ~ ssList(sk4)
| sk4 = app(sk3,skaf45(sk4,sk3)) ),
inference(forward_subsumption_resolution,[],[f469,f202]) ).
fof(f478,plain,
sk4 = app(sk3,skaf45(sk4,sk3)),
inference(forward_subsumption_resolution,[],[f474,f203]) ).
fof(f486,plain,
( sk4 != sk4
| ~ ssList(skaf45(sk4,sk3))
| ~ ssList(sk4)
| ~ spl0_2 ),
inference(superposition,[],[f349,f478]) ).
fof(f495,plain,
( ~ ssList(skaf45(sk4,sk3))
| ~ ssList(sk4)
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f486]) ).
fof(f501,definition,
( spl0_19
<=> ssList(skaf45(sk4,sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f503,plain,
( ~ ssList(skaf45(sk4,sk3))
| spl0_19 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f509,plain,
( ~ ssList(skaf45(sk4,sk3))
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f495,f203]) ).
fof(f526,plain,
( ~ spl0_19
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f509,f245,f501]) ).
fof(f1849,plain,
( $false
| spl0_19 ),
inference(resolution,[],[f51,f503]) ).
fof(f1864,plain,
spl0_19,
inference(avatar_contradiction_clause,[],[f1849]) ).
cnf(s10,plain,
spl0_2,
inference(sat_conversion,[],[f281]) ).
cnf(s20,plain,
( ~ spl0_2
| ~ spl0_19 ),
inference(sat_conversion,[],[f526]) ).
cnf(s82,plain,
spl0_19,
inference(sat_conversion,[],[f1864]) ).
cnf(s105,plain,
~ spl0_2,
inference(rat,[],[s20,s82]) ).
cnf(s108,plain,
$false,
inference(rat,[],[s10,s105]) ).
fof(f1865,plain,
$false,
inference(avatar_sat_refutation,[],[s108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC008-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n026.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 07:28:12 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 3.74/1.41 % (3676136)Input is clausal, will run a generic CNF schedule.
% 3.74/1.41 % (3676147)dis-21_1_sil=8000:lcm=predicate:random_seed=2530434557: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)
% 3.74/1.41 % (3676144)lrs+10_1_sil=8000:sp=occurrence:random_seed=8111891:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.74/1.41 % (3676141)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=354455024:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.74/1.41 % (3676145)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3086467208:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.74/1.41 % (3676142)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4196409156:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.74/1.41 % (3676143)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=705428907:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.74/1.41 % (3676146)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1261136008:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.74/1.41 % (3676147)Instruction limit reached!
% 3.74/1.41 % (3676147)------------------------------
% 3.74/1.41 % (3676147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.41 % (3676147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.41 % (3676147)CaDiCaL version: 2.1.3
% 3.74/1.41 % (3676147)Termination reason: Instruction limit
% 3.74/1.41 % (3676147)Termination phase: Saturation
% 3.74/1.41 % (3676147)Time elapsed: 0.032 s
% 3.74/1.41 % (3676147)Peak memory usage: 89 MB
% 3.74/1.41 % (3676147)Instructions burned: 120 (million)
% 3.74/1.41 % (3676146)First to succeed.
% 3.74/1.41 % (3676146)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3676136"
% 3.74/1.41 % (3676145)Instruction limit reached!
% 3.74/1.41 % (3676145)------------------------------
% 3.74/1.41 % (3676145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.41 % (3676145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.41 % (3676145)CaDiCaL version: 2.1.3
% 3.74/1.41 % (3676145)Termination reason: Instruction limit
% 3.74/1.41 % (3676145)Termination phase: Saturation
% 3.74/1.41 % (3676145)Time elapsed: 0.062 s
% 3.74/1.41 % (3676145)Peak memory usage: 88 MB
% 3.74/1.41 % (3676145)Instructions burned: 116 (million)
% 3.74/1.41 % (3676144)Instruction limit reached!
% 3.74/1.41 % (3676144)------------------------------
% 3.74/1.41 % (3676144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.41 % (3676144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.41 % (3676144)CaDiCaL version: 2.1.3
% 3.74/1.41 % (3676144)Termination reason: Instruction limit
% 3.74/1.41 % (3676144)Termination phase: Saturation
% 3.74/1.41 % (3676144)Time elapsed: 0.070 s
% 3.74/1.41 % (3676144)Peak memory usage: 90 MB
% 3.74/1.41 % (3676144)Instructions burned: 108 (million)
% 3.74/1.41 % (3676155)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=22668338:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.74/1.41 % (3676155)Also succeeded, but the first one will report.
% 3.74/1.41 % (3676156)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3476145774: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)
% 3.74/1.41 % (3676157)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2917365427:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.74/1.41 % (3676146)Refutation found. Thanks to Tanya!
% 3.74/1.41 % SZS status Unsatisfiable for theBenchmark
% 3.74/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 3.74/1.41 % (3676146)------------------------------
% 3.74/1.41 % (3676146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.41 % (3676146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.41 % (3676146)CaDiCaL version: 2.1.3
% 3.74/1.41 % (3676146)Termination reason: Refutation
% 3.74/1.41 % (3676146)Time elapsed: 0.044 s
% 3.74/1.41 % (3676146)Peak memory usage: 90 MB
% 3.74/1.41 % (3676146)Instructions burned: 62 (million)
% 3.74/1.41 % (3676146)------------------------------
% 3.74/1.41 % (3676146)------------------------------
% 3.74/1.41 % (3676136)Success in time 0.457 s
% 3.74/1.41 % Vampire exiting
%------------------------------------------------------------------------------