%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC394-1 : 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 : n001.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 01:03:47 PM UTC 2026
% Result : Unsatisfiable 3.82s 1.25s
% Output : Refutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of formulae : 47 ( 17 unt; 2 def)
% Number of atoms : 106 ( 9 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 123 ( 64 ~; 57 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| memberP(app(X2,X0),X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clause168) ).
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,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
memberP(sk1,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
~ memberP(sk2,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f212,negated_conjecture,
( nil = sk3
| segmentP(sk4,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f244,definition,
( spl0_1
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f246,plain,
( segmentP(sk4,sk3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f248,definition,
( spl0_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f250,plain,
( nil = sk3
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f251,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f212,f248,f244]) ).
fof(f307,plain,
memberP(sk3,sk5),
inference(forward_demodulation,[],[f207,f205]) ).
fof(f308,plain,
~ memberP(sk4,sk5),
inference(forward_demodulation,[],[f208,f204]) ).
fof(f313,plain,
( memberP(nil,sk5)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f307,f250]) ).
fof(f322,plain,
( ~ ssItem(sk5)
| ~ spl0_2 ),
inference(resolution,[],[f71,f313]) ).
fof(f323,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f322,f206]) ).
fof(f324,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f323]) ).
fof(f401,plain,
! [X0] :
( ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssItem(sk5)
| memberP(app(X0,sk3),sk5) ),
inference(resolution,[],[f152,f307]) ).
fof(f408,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssItem(sk5)
| memberP(app(X0,sk3),sk5) ),
inference(forward_subsumption_resolution,[],[f401,f202]) ).
fof(f409,plain,
! [X0] :
( memberP(app(X0,sk3),sk5)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f408,f206]) ).
fof(f411,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X0,sk3))
| ~ ssItem(sk5)
| memberP(app(app(X0,sk3),X1),sk5) ),
inference(resolution,[],[f409,f151]) ).
fof(f415,plain,
! [X0,X1] :
( ~ ssList(app(X0,sk3))
| ~ ssList(X1)
| ~ ssList(X0)
| memberP(app(app(X0,sk3),X1),sk5) ),
inference(forward_subsumption_resolution,[],[f411,f206]) ).
fof(f509,plain,
( ~ ssList(sk3)
| ~ ssList(sk4)
| sk4 = app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4))
| ~ spl0_1 ),
inference(resolution,[],[f181,f246]) ).
fof(f514,plain,
( ~ ssList(sk4)
| sk4 = app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f509,f202]) ).
fof(f517,plain,
( sk4 = app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f514,f203]) ).
fof(f653,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ ssList(X0)
| memberP(app(app(X0,sk3),X1),sk5) ),
inference(resolution,[],[f85,f415]) ).
fof(f679,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| memberP(app(app(X0,sk3),X1),sk5) ),
inference(duplicate_literal_removal,[],[f653]) ).
fof(f689,plain,
! [X0,X1] :
( memberP(app(app(X0,sk3),X1),sk5)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f679,f202]) ).
fof(f2025,plain,
( memberP(sk4,sk5)
| ~ ssList(skaf48(sk3,sk4))
| ~ ssList(skaf47(sk4,sk3))
| ~ spl0_1 ),
inference(superposition,[],[f689,f517]) ).
fof(f2027,plain,
( ~ ssList(skaf48(sk3,sk4))
| ~ ssList(skaf47(sk4,sk3))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f2025,f308]) ).
fof(f2031,plain,
( ~ ssList(skaf47(sk4,sk3))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f2027,f48]) ).
fof(f2032,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f2031,f49]) ).
fof(f2033,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f2032]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f251]) ).
cnf(s19,plain,
~ spl0_2,
inference(sat_conversion,[],[f324]) ).
cnf(s73,plain,
~ spl0_1,
inference(sat_conversion,[],[f2033]) ).
cnf(s92,plain,
$false,
inference(rat,[],[s1,s19,s73]) ).
fof(f2034,plain,
$false,
inference(avatar_sat_refutation,[],[s92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC394-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n001.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 09:33:03 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 3.82/1.25 % (243705)Input is clausal, will run a generic CNF schedule.
% 3.82/1.25 % (243713)lrs+10_1_sil=8000:sp=occurrence:random_seed=270920329:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.82/1.25 % (243713)Instruction limit reached!
% 3.82/1.25 % (243713)------------------------------
% 3.82/1.25 % (243713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.25 % (243713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.25 % (243713)CaDiCaL version: 2.1.3
% 3.82/1.25 % (243713)Termination reason: Instruction limit
% 3.82/1.25 % (243713)Termination phase: Saturation
% 3.82/1.25 % (243713)Time elapsed: 0.038 s
% 3.82/1.25 % (243713)Peak memory usage: 90 MB
% 3.82/1.25 % (243713)Instructions burned: 110 (million)
% 3.82/1.25 % (243714)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1181163879:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.82/1.25 % (243711)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=883805068:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.82/1.25 % (243710)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=3909877560:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.82/1.25 % (243716)dis-21_1_sil=8000:lcm=predicate:random_seed=370466262: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)
% 3.82/1.25 % (243712)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3092856118:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.82/1.25 % (243715)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4256564914:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.82/1.25 % (243715)First to succeed.
% 3.82/1.25 % (243715)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-243705"
% 3.82/1.25 % (243716)Instruction limit reached!
% 3.82/1.25 % (243716)------------------------------
% 3.82/1.25 % (243716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.25 % (243716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.25 % (243716)CaDiCaL version: 2.1.3
% 3.82/1.25 % (243716)Termination reason: Instruction limit
% 3.82/1.25 % (243716)Termination phase: Saturation
% 3.82/1.25 % (243716)Time elapsed: 0.051 s
% 3.82/1.25 % (243716)Peak memory usage: 89 MB
% 3.82/1.25 % (243716)Instructions burned: 117 (million)
% 3.82/1.25 % (243714)Instruction limit reached!
% 3.82/1.25 % (243714)------------------------------
% 3.82/1.25 % (243714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.25 % (243714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.25 % (243714)CaDiCaL version: 2.1.3
% 3.82/1.25 % (243714)Termination reason: Instruction limit
% 3.82/1.25 % (243714)Termination phase: Saturation
% 3.82/1.25 % (243714)Time elapsed: 0.053 s
% 3.82/1.25 % (243714)Peak memory usage: 88 MB
% 3.82/1.25 % (243714)Instructions burned: 116 (million)
% 3.82/1.25 % (243718)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=2914679842:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.82/1.25 % (243718)Instruction limit reached!
% 3.82/1.25 % (243718)------------------------------
% 3.82/1.25 % (243718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.25 % (243718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.25 % (243718)CaDiCaL version: 2.1.3
% 3.82/1.25 % (243718)Termination reason: Instruction limit
% 3.82/1.25 % (243718)Termination phase: Saturation
% 3.82/1.25 % (243718)Time elapsed: 0.052 s
% 3.82/1.25 % (243718)Peak memory usage: 89 MB
% 3.82/1.25 % (243718)Instructions burned: 144 (million)
% 3.82/1.25 % (243726)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=946707922:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.82/1.25 % (243725)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1230463279: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)
% 3.82/1.25 % (243728)lrs+10_64_to=lpo:sil=8000:random_seed=2269216638:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 3.82/1.25 % (243725)Also succeeded, but the first one will report.
% 3.82/1.25 % (243728)Instruction limit reached!
% 3.82/1.25 % (243728)------------------------------
% 3.82/1.25 % (243728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.25 % (243728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.25 % (243728)CaDiCaL version: 2.1.3
% 3.82/1.25 % (243728)Termination reason: Instruction limit
% 3.82/1.25 % (243728)Termination phase: Saturation
% 3.82/1.25 % (243728)Time elapsed: 0.036 s
% 3.82/1.25 % (243728)Peak memory usage: 90 MB
% 3.82/1.25 % (243728)Instructions burned: 127 (million)
% 3.82/1.25 % (243726)Instruction limit reached!
% 3.82/1.25 % (243726)------------------------------
% 3.82/1.25 % (243726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.25 % (243726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.25 % (243726)CaDiCaL version: 2.1.3
% 3.82/1.25 % (243726)Termination reason: Instruction limit
% 3.82/1.25 % (243726)Termination phase: Saturation
% 3.82/1.25 % (243726)Time elapsed: 0.083 s
% 3.82/1.25 % (243726)Peak memory usage: 88 MB
% 3.82/1.25 % (243726)Instructions burned: 221 (million)
% 3.82/1.25 % (243715)Refutation found. Thanks to Tanya!
% 3.82/1.25 % SZS status Unsatisfiable for theBenchmark
% 3.82/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.82/1.25 % (243715)------------------------------
% 3.82/1.25 % (243715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.25 % (243715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.25 % (243715)CaDiCaL version: 2.1.3
% 3.82/1.25 % (243715)Termination reason: Refutation
% 3.82/1.25 % (243715)Time elapsed: 0.048 s
% 3.82/1.25 % (243715)Peak memory usage: 90 MB
% 3.82/1.25 % (243715)Instructions burned: 64 (million)
% 3.82/1.25 % (243715)------------------------------
% 3.82/1.25 % (243715)------------------------------
% 3.82/1.25 % (243705)Success in time 0.462 s
% 3.82/1.25 % Vampire exiting
%------------------------------------------------------------------------------