%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC404-1 : 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 : n017.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 0.21s 1.30s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 39 ( 18 unt; 2 def)
% Number of atoms : 92 ( 4 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 107 ( 54 ~; 51 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clause141) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
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,
ssList(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
app(app(sk5,sk3),sk6) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
sk4 = app(app(sk5,sk3),sk6),
inference(reorient_equations,[],[f208]) ).
fof(f215,negated_conjecture,
ssItem(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f216,negated_conjecture,
memberP(sk1,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f217,negated_conjecture,
~ memberP(sk2,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f221,plain,
memberP(sk3,sk7),
inference(definition_unfolding,[],[f216,f205]) ).
fof(f222,plain,
~ memberP(sk4,sk7),
inference(definition_unfolding,[],[f217,f204]) ).
fof(f286,definition,
( spl0_4
<=> ssList(app(sk5,sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f288,plain,
( ~ ssList(app(sk5,sk3))
| spl0_4 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f360,plain,
! [X0] :
( memberP(sk4,X0)
| ~ ssList(sk6)
| ~ ssList(app(sk5,sk3))
| ~ ssItem(X0)
| ~ memberP(app(sk5,sk3),X0) ),
inference(superposition,[],[f151,f209]) ).
fof(f365,plain,
! [X0] :
( memberP(sk4,X0)
| ~ ssList(app(sk5,sk3))
| ~ ssItem(X0)
| ~ memberP(app(sk5,sk3),X0) ),
inference(forward_subsumption_resolution,[],[f360,f207]) ).
fof(f411,definition,
( spl0_9
<=> ! [X0] :
( memberP(sk4,X0)
| ~ memberP(app(sk5,sk3),X0)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f412,plain,
( ! [X0] :
( ~ memberP(app(sk5,sk3),X0)
| memberP(sk4,X0)
| ~ ssItem(X0) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f413,plain,
( ~ spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f365,f411,f286]) ).
fof(f420,plain,
( ~ ssList(sk5)
| ~ ssList(sk3)
| spl0_4 ),
inference(resolution,[],[f288,f85]) ).
fof(f421,plain,
( ~ ssList(sk3)
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f420,f206]) ).
fof(f422,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f421,f202]) ).
fof(f423,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f422]) ).
fof(f804,plain,
( ! [X0] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssList(sk3)
| ~ ssList(sk5)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) )
| ~ spl0_9 ),
inference(resolution,[],[f412,f152]) ).
fof(f807,plain,
( ! [X0] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssList(sk3)
| ~ ssList(sk5)
| ~ memberP(sk3,X0) )
| ~ spl0_9 ),
inference(duplicate_literal_removal,[],[f804]) ).
fof(f809,plain,
( ! [X0] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssList(sk5)
| ~ memberP(sk3,X0) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f807,f202]) ).
fof(f811,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(sk4,X0) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f809,f206]) ).
fof(f1743,plain,
( ~ ssItem(sk7)
| memberP(sk4,sk7)
| ~ spl0_9 ),
inference(resolution,[],[f811,f221]) ).
fof(f1744,plain,
( memberP(sk4,sk7)
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1743,f215]) ).
fof(f1745,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1744,f222]) ).
fof(f1746,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f1745]) ).
cnf(s7,plain,
( ~ spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f413]) ).
cnf(s9,plain,
spl0_4,
inference(sat_conversion,[],[f423]) ).
cnf(s75,plain,
~ spl0_9,
inference(sat_conversion,[],[f1746]) ).
cnf(s90,plain,
$false,
inference(rat,[],[s7,s75,s9]) ).
fof(f1747,plain,
$false,
inference(avatar_sat_refutation,[],[s90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC404-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 09:26:36 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 0.21/1.30 % (3424908)Input is clausal, will run a generic CNF schedule.
% 0.21/1.30 % (3424960)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=3057011317:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.21/1.30 % (3424964)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=148887730:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.21/1.30 % (3424963)lrs+10_1_sil=8000:sp=occurrence:random_seed=2456694989:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.21/1.30 % (3424965)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=978656805:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.21/1.30 % (3424961)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2306874543:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.21/1.30 % (3424962)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3194764356:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.21/1.30 % (3424966)dis-21_1_sil=8000:lcm=predicate:random_seed=1985942145: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)
% 0.21/1.30 % (3424963)First to succeed.
% 0.21/1.30 % (3424963)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3424908"
% 0.21/1.30 % (3424966)Instruction limit reached!
% 0.21/1.30 % (3424966)------------------------------
% 0.21/1.30 % (3424966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.30 % (3424966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.30 % (3424966)CaDiCaL version: 2.1.3
% 0.21/1.30 % (3424966)Termination reason: Instruction limit
% 0.21/1.30 % (3424966)Termination phase: Saturation
% 0.21/1.30 % (3424966)Time elapsed: 0.054 s
% 0.21/1.30 % (3424966)Peak memory usage: 89 MB
% 0.21/1.30 % (3424966)Instructions burned: 119 (million)
% 0.21/1.30 % (3424964)Instruction limit reached!
% 0.21/1.30 % (3424964)------------------------------
% 0.21/1.30 % (3424964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.30 % (3424964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.30 % (3424964)CaDiCaL version: 2.1.3
% 0.21/1.30 % (3424964)Termination reason: Instruction limit
% 0.21/1.30 % (3424964)Termination phase: Saturation
% 0.21/1.30 % (3424964)Time elapsed: 0.071 s
% 0.21/1.30 % (3424964)Peak memory usage: 89 MB
% 0.21/1.30 % (3424964)Instructions burned: 121 (million)
% 0.21/1.30 % (3424965)Instruction limit reached!
% 0.21/1.30 % (3424965)------------------------------
% 0.21/1.30 % (3424965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.30 % (3424965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.30 % (3424965)CaDiCaL version: 2.1.3
% 0.21/1.30 % (3424965)Termination reason: Instruction limit
% 0.21/1.30 % (3424965)Termination phase: Saturation
% 0.21/1.30 % (3424965)Time elapsed: 0.123 s
% 0.21/1.30 % (3424965)Peak memory usage: 90 MB
% 0.21/1.30 % (3424965)Instructions burned: 181 (million)
% 0.21/1.30 % (3424974)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=3010952076:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.21/1.30 % (3424975)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2011031861: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)
% 0.21/1.30 % (3424974)Also succeeded, but the first one will report.
% 0.21/1.30 % (3424976)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=468766918:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.21/1.30 % (3424976)Also succeeded, but the first one will report.
% 0.21/1.30 % (3424963)Refutation found. Thanks to Tanya!
% 0.21/1.30 % SZS status Unsatisfiable for theBenchmark
% 0.21/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.30 % (3424963)------------------------------
% 0.21/1.30 % (3424963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.30 % (3424963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.30 % (3424963)CaDiCaL version: 2.1.3
% 0.21/1.30 % (3424963)Termination reason: Refutation
% 0.21/1.30 % (3424963)Time elapsed: 0.034 s
% 0.21/1.30 % (3424963)Peak memory usage: 90 MB
% 0.21/1.30 % (3424963)Instructions burned: 49 (million)
% 0.21/1.30 % (3424963)------------------------------
% 0.21/1.30 % (3424963)------------------------------
% 0.21/1.30 % (3424908)Success in time 0.438 s
% 0.21/1.30 % Vampire exiting
%------------------------------------------------------------------------------