%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC352-1 : 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 : n005.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 01:03:35 PM UTC 2026
% Result : Unsatisfiable 2.73s 1.17s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 14 unt; 4 def)
% Number of atoms : 76 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 31 ~; 31 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f60,axiom,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
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,
~ frontsegP(sk2,sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
( ~ neq(sk4,nil)
| frontsegP(sk4,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f212,plain,
~ frontsegP(sk4,sk3),
inference(definition_unfolding,[],[f206,f204,f205]) ).
fof(f232,definition,
( spl0_4
<=> frontsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f233,plain,
( frontsegP(sk4,sk3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f235,definition,
( spl0_5
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f236,plain,
( ~ neq(sk4,nil)
| spl0_5 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f237,plain,
( spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f209,f235,f232]) ).
fof(f243,definition,
( spl0_7
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f244,plain,
( nil != sk4
| spl0_7 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f246,definition,
( spl0_8
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f247,plain,
( nil = sk3
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f248,plain,
( ~ spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f207,f246,f243]) ).
fof(f262,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_5 ),
inference(resolution,[],[f102,f236]) ).
fof(f265,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f262,f203]) ).
fof(f266,plain,
( nil = sk4
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f265,f8]) ).
fof(f267,plain,
( $false
| spl0_5
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f266,f244]) ).
fof(f268,plain,
( spl0_5
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f267]) ).
fof(f269,plain,
( ~ frontsegP(sk4,nil)
| ~ spl0_8 ),
inference(superposition,[],[f212,f247]) ).
fof(f276,plain,
( ~ ssList(sk4)
| ~ spl0_8 ),
inference(resolution,[],[f269,f60]) ).
fof(f280,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f276,f203]) ).
fof(f281,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f280]) ).
fof(f282,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f233,f212]) ).
fof(f283,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f282]) ).
cnf(s3,plain,
( spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f237]) ).
cnf(s5,plain,
( ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f248]) ).
cnf(s7,plain,
( spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f268]) ).
cnf(s9,plain,
~ spl0_8,
inference(sat_conversion,[],[f281]) ).
cnf(s10,plain,
~ spl0_4,
inference(sat_conversion,[],[f283]) ).
cnf(s11,plain,
~ spl0_7,
inference(rat,[],[s5,s9]) ).
cnf(s12,plain,
spl0_5,
inference(rat,[],[s7,s11]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s3,s12,s10]) ).
fof(f284,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC352-1 : 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 : n005.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 09:14:17 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
% 2.73/1.17 % (660610)Input is clausal, will run a generic CNF schedule.
% 2.73/1.17 % (660619)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=527581934:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.73/1.17 % (660619)First to succeed.
% 2.73/1.17 % (660619)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-660610"
% 2.73/1.17 % (660615)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=1046489844:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.73/1.17 % (660617)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2508754550:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.73/1.17 % (660620)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3732063823:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.73/1.17 % (660616)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3402655891:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.73/1.17 % (660618)lrs+10_1_sil=8000:sp=occurrence:random_seed=483902519:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.73/1.17 % (660621)dis-21_1_sil=8000:lcm=predicate:random_seed=1442478305: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)
% 2.73/1.17 % (660618)Also succeeded, but the first one will report.
% 2.73/1.17 % (660620)Also succeeded, but the first one will report.
% 2.73/1.17 % (660621)Instruction limit reached!
% 2.73/1.17 % (660621)------------------------------
% 2.73/1.17 % (660621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.17 % (660621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.17 % (660621)CaDiCaL version: 2.1.3
% 2.73/1.17 % (660621)Termination reason: Instruction limit
% 2.73/1.17 % (660621)Termination phase: Saturation
% 2.73/1.17 % (660621)Time elapsed: 0.049 s
% 2.73/1.17 % (660621)Peak memory usage: 88 MB
% 2.73/1.17 % (660621)Instructions burned: 117 (million)
% 2.73/1.17 % (660619)Refutation found. Thanks to Tanya!
% 2.73/1.17 % SZS status Unsatisfiable for theBenchmark
% 2.73/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.73/1.17 % (660619)------------------------------
% 2.73/1.17 % (660619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.17 % (660619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.17 % (660619)CaDiCaL version: 2.1.3
% 2.73/1.17 % (660619)Termination reason: Refutation
% 2.73/1.17 % (660619)Time elapsed: 0.003 s
% 2.73/1.17 % (660619)Peak memory usage: 90 MB
% 2.73/1.17 % (660619)Instructions burned: 3 (million)
% 2.73/1.17 % (660619)------------------------------
% 2.73/1.17 % (660619)------------------------------
% 2.73/1.17 % (660610)Success in time 0.293 s
% 2.73/1.17 % Vampire exiting
%------------------------------------------------------------------------------