%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC403-1 : 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 : n004.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 01:03:50 PM UTC 2026
% Result : Unsatisfiable 5.57s 1.49s
% Output : Refutation 5.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 43 ( 19 unt; 2 def)
% Number of atoms : 102 ( 6 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 119 ( 60 ~; 57 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f152,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f181,axiom,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
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,
segmentP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f209,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
memberP(sk1,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
~ memberP(sk2,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
memberP(sk3,sk5),
inference(definition_unfolding,[],[f210,f205]) ).
fof(f215,plain,
~ memberP(sk4,sk5),
inference(definition_unfolding,[],[f211,f204]) ).
fof(f291,plain,
( ~ ssList(sk3)
| ~ ssList(sk4)
| sk4 = app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4)) ),
inference(resolution,[],[f181,f206]) ).
fof(f292,plain,
( ~ ssList(sk4)
| sk4 = app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4)) ),
inference(forward_subsumption_resolution,[],[f291,f202]) ).
fof(f293,plain,
sk4 = app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4)),
inference(forward_subsumption_resolution,[],[f292,f203]) ).
fof(f296,plain,
! [X0] :
( memberP(sk4,X0)
| ~ ssList(skaf48(sk3,sk4))
| ~ ssList(app(skaf47(sk4,sk3),sk3))
| ~ ssItem(X0)
| ~ memberP(app(skaf47(sk4,sk3),sk3),X0) ),
inference(superposition,[],[f151,f293]) ).
fof(f297,plain,
! [X0] :
( memberP(sk4,X0)
| ~ ssList(app(skaf47(sk4,sk3),sk3))
| ~ ssItem(X0)
| ~ memberP(app(skaf47(sk4,sk3),sk3),X0) ),
inference(forward_subsumption_resolution,[],[f296,f48]) ).
fof(f300,definition,
( spl0_10
<=> ssList(app(skaf47(sk4,sk3),sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f302,plain,
( ~ ssList(app(skaf47(sk4,sk3),sk3))
| spl0_10 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f304,definition,
( spl0_11
<=> ! [X0] :
( memberP(sk4,X0)
| ~ memberP(app(skaf47(sk4,sk3),sk3),X0)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f305,plain,
( ! [X0] :
( ~ memberP(app(skaf47(sk4,sk3),sk3),X0)
| memberP(sk4,X0)
| ~ ssItem(X0) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f306,plain,
( ~ spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f297,f304,f300]) ).
fof(f311,plain,
( ~ ssList(skaf47(sk4,sk3))
| ~ ssList(sk3)
| spl0_10 ),
inference(resolution,[],[f302,f85]) ).
fof(f312,plain,
( ~ ssList(sk3)
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f311,f49]) ).
fof(f313,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f312,f202]) ).
fof(f314,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f313]) ).
fof(f315,plain,
( ! [X0] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssList(sk3)
| ~ ssList(skaf47(sk4,sk3))
| ~ ssItem(X0)
| ~ memberP(sk3,X0) )
| ~ spl0_11 ),
inference(resolution,[],[f305,f152]) ).
fof(f318,plain,
( ! [X0] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssList(sk3)
| ~ ssList(skaf47(sk4,sk3))
| ~ memberP(sk3,X0) )
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f315]) ).
fof(f320,plain,
( ! [X0] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssList(skaf47(sk4,sk3))
| ~ memberP(sk3,X0) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f318,f202]) ).
fof(f322,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(sk4,X0) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f320,f49]) ).
fof(f323,plain,
( ~ ssItem(sk5)
| memberP(sk4,sk5)
| ~ spl0_11 ),
inference(resolution,[],[f322,f214]) ).
fof(f324,plain,
( memberP(sk4,sk5)
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f323,f209]) ).
fof(f325,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f324,f215]) ).
fof(f326,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f325]) ).
cnf(s11,plain,
( ~ spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f306]) ).
cnf(s13,plain,
spl0_10,
inference(sat_conversion,[],[f314]) ).
cnf(s14,plain,
~ spl0_11,
inference(sat_conversion,[],[f326]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s11,s14,s13]) ).
fof(f327,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC403-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n004.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 09:30:52 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 4.43/1.39 % (230506)Input is clausal, will run a generic CNF schedule.
% 4.43/1.39 % (230600)dis-21_1_sil=8000:lcm=predicate:random_seed=1036358605: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)
% 4.43/1.39 % (230592)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2613699181:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.43/1.39 % (230597)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3702364422:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.43/1.39 % (230593)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2955448789:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.43/1.39 % (230590)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=975634912:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.43/1.39 % (230594)lrs+10_1_sil=8000:sp=occurrence:random_seed=510123437:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.43/1.39 % (230600)Instruction limit reached!
% 4.43/1.39 % (230600)------------------------------
% 4.43/1.39 % (230600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.39 % (230600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.39 % (230600)CaDiCaL version: 2.1.3
% 4.43/1.39 % (230600)Termination reason: Instruction limit
% 4.43/1.39 % (230600)Termination phase: Saturation
% 4.43/1.39 % (230600)Time elapsed: 0.030 s
% 4.43/1.39 % (230600)Peak memory usage: 89 MB
% 4.43/1.39 % (230600)Instructions burned: 118 (million)
% 4.43/1.39 % (230598)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2555555859:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.43/1.39 % (230597)Instruction limit reached!
% 4.43/1.39 % (230597)------------------------------
% 4.43/1.39 % (230597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.39 % (230597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.39 % (230597)CaDiCaL version: 2.1.3
% 4.43/1.39 % (230597)Termination reason: Instruction limit
% 4.43/1.39 % (230597)Termination phase: Saturation
% 4.43/1.39 % (230597)Time elapsed: 0.074 s
% 4.43/1.39 % (230597)Peak memory usage: 89 MB
% 4.43/1.39 % (230597)Instructions burned: 115 (million)
% 4.43/1.39 % (230594)Instruction limit reached!
% 4.43/1.39 % (230594)------------------------------
% 4.43/1.39 % (230594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.39 % (230594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.39 % (230594)CaDiCaL version: 2.1.3
% 4.43/1.39 % (230594)Termination reason: Instruction limit
% 4.43/1.39 % (230594)Termination phase: Saturation
% 4.43/1.39 % (230594)Time elapsed: 0.088 s
% 4.43/1.39 % (230594)Peak memory usage: 90 MB
% 4.43/1.39 % (230594)Instructions burned: 108 (million)
% 4.43/1.39 % (230598)Instruction limit reached!
% 4.43/1.39 % (230598)------------------------------
% 4.43/1.39 % (230598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.39 % (230598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.39 % (230598)CaDiCaL version: 2.1.3
% 4.43/1.39 % (230598)Termination reason: Instruction limit
% 4.43/1.39 % (230598)Termination phase: Saturation
% 4.43/1.39 % (230598)Time elapsed: 0.135 s
% 4.43/1.39 % (230598)Peak memory usage: 90 MB
% 4.43/1.39 % (230598)Instructions burned: 181 (million)
% 4.43/1.39 % (230640)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=2851600469:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.43/1.39 % (230655)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3980014590: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)
% 4.43/1.39 % (230667)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=550687930:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.43/1.39 % (230640)Instruction limit reached!
% 4.43/1.39 % (230640)------------------------------
% 4.43/1.39 % (230640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.39 % (230640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.49 % (230640)CaDiCaL version: 2.1.3
% 5.57/1.49 % (230640)Termination reason: Instruction limit
% 5.57/1.49 % (230640)Termination phase: Saturation
% 5.57/1.49 % (230640)Time elapsed: 0.101 s
% 5.57/1.49 % (230640)Peak memory usage: 89 MB
% 5.57/1.49 % (230640)Instructions burned: 144 (million)
% 5.57/1.49 % (230668)lrs+10_64_to=lpo:sil=8000:random_seed=2009265827:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.57/1.49 % (230655)Instruction limit reached!
% 5.57/1.49 % (230655)------------------------------
% 5.57/1.49 % (230655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.49 % (230655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.49 % (230655)CaDiCaL version: 2.1.3
% 5.57/1.49 % (230655)Termination reason: Instruction limit
% 5.57/1.49 % (230655)Termination phase: Saturation
% 5.57/1.49 % (230655)Time elapsed: 0.098 s
% 5.57/1.49 % (230655)Peak memory usage: 91 MB
% 5.57/1.49 % (230655)Instructions burned: 189 (million)
% 5.57/1.49 % (230667)Instruction limit reached!
% 5.57/1.49 % (230667)------------------------------
% 5.57/1.49 % (230667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.49 % (230667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.49 % (230667)CaDiCaL version: 2.1.3
% 5.57/1.49 % (230667)Termination reason: Instruction limit
% 5.57/1.49 % (230667)Termination phase: Saturation
% 5.57/1.49 % (230667)Time elapsed: 0.089 s
% 5.57/1.49 % (230667)Peak memory usage: 88 MB
% 5.57/1.49 % (230667)Instructions burned: 221 (million)
% 5.57/1.49 % (230668)Instruction limit reached!
% 5.57/1.49 % (230668)------------------------------
% 5.57/1.49 % (230668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.49 % (230668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.49 % (230668)CaDiCaL version: 2.1.3
% 5.57/1.49 % (230668)Termination reason: Instruction limit
% 5.57/1.49 % (230668)Termination phase: Saturation
% 5.57/1.49 % (230668)Time elapsed: 0.068 s
% 5.57/1.49 % (230668)Peak memory usage: 90 MB
% 5.57/1.49 % (230668)Instructions burned: 126 (million)
% 5.57/1.49 % (230590)First to succeed.
% 5.57/1.49 % (230590)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-230506"
% 5.57/1.49 % (230715)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2901595512:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.57/1.49 % (230736)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2865466921:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.57/1.49 % (230748)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1624670211:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 5.57/1.49 % (230754)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2446126460:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 5.57/1.49 % (230590)Refutation found. Thanks to Tanya!
% 5.57/1.49 % SZS status Unsatisfiable for theBenchmark
% 5.57/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 5.57/1.49 % (230590)------------------------------
% 5.57/1.49 % (230590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.49 % (230590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.49 % (230590)CaDiCaL version: 2.1.3
% 5.57/1.49 % (230590)Termination reason: Refutation
% 5.57/1.49 % (230590)Time elapsed: 0.397 s
% 5.57/1.49 % (230590)Peak memory usage: 132 MB
% 5.57/1.49 % (230590)Instructions burned: 968 (million)
% 5.57/1.49 % (230590)------------------------------
% 5.57/1.49 % (230590)------------------------------
% 5.57/1.49 % (230506)Success in time 0.731 s
% 5.57/1.49 % Vampire exiting
%------------------------------------------------------------------------------