%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC339-1 : 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 : n003.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 01:03:31 PM UTC 2026
% Result : Unsatisfiable 0.21s 1.03s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 30 ( 15 unt; 2 def)
% Number of atoms : 61 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 63 ( 32 ~; 29 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
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,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
app(app(sk5,sk3),sk6) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
sk4 = app(app(sk5,sk3),sk6),
inference(reorient_equations,[],[f208]) ).
fof(f210,negated_conjecture,
totalorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f216,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f219,plain,
( ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3) ),
inference(definition_unfolding,[],[f216,f204,f205,f205]) ).
fof(f222,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
fof(f226,definition,
( spl0_1
<=> totalorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f230,definition,
( spl0_2
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f232,plain,
( ~ segmentP(sk4,sk3)
| spl0_2 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f233,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f219,f230,f226]) ).
fof(f243,plain,
spl0_1,
inference(avatar_split_clause,[],[f210,f226]) ).
fof(f471,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk5)
| ~ ssList(sk3)
| ~ ssList(sk4)
| ~ ssList(sk6) ),
inference(superposition,[],[f222,f209]) ).
fof(f474,plain,
( ~ ssList(sk5)
| ~ ssList(sk3)
| ~ ssList(sk4)
| ~ ssList(sk6)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f471,f232]) ).
fof(f480,plain,
( ~ ssList(sk3)
| ~ ssList(sk4)
| ~ ssList(sk6)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f474,f206]) ).
fof(f486,plain,
( ~ ssList(sk4)
| ~ ssList(sk6)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f480,f202]) ).
fof(f491,plain,
( ~ ssList(sk6)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f486,f203]) ).
fof(f492,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f491,f207]) ).
fof(f493,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f492]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f233]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f243]) ).
cnf(s8,plain,
spl0_2,
inference(sat_conversion,[],[f493]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s1,s8,s3]) ).
fof(f494,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC339-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n003.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 09:12:57 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 0.21/1.03 % (1453033)Input is clausal, will run a generic CNF schedule.
% 0.21/1.03 % (1453044)dis-21_1_sil=8000:lcm=predicate:random_seed=3327484502: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)
% 0.21/1.03 % (1453044)Instruction limit reached!
% 0.21/1.03 % (1453044)------------------------------
% 0.21/1.03 % (1453044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.03 % (1453044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.03 % (1453044)CaDiCaL version: 2.1.3
% 0.21/1.03 % (1453044)Termination reason: Instruction limit
% 0.21/1.03 % (1453044)Termination phase: Saturation
% 0.21/1.03 % (1453044)Time elapsed: 0.028 s
% 0.21/1.03 % (1453044)Peak memory usage: 89 MB
% 0.21/1.03 % (1453044)Instructions burned: 118 (million)
% 0.21/1.03 % (1453039)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=860835569:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.21/1.03 % (1453043)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=849079495:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.21/1.03 % (1453041)lrs+10_1_sil=8000:sp=occurrence:random_seed=1433018264:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.21/1.03 % (1453038)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=661986811:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.21/1.03 % (1453042)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1079756988:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.21/1.03 % (1453040)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1032899103:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.21/1.03 % (1453041)First to succeed.
% 0.21/1.03 % (1453041)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1453033"
% 0.21/1.03 % (1453042)Also succeeded, but the first one will report.
% 0.21/1.03 % (1453043)Also succeeded, but the first one will report.
% 0.21/1.03 % (1453046)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=738894090:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.21/1.03 % (1453046)Also succeeded, but the first one will report.
% 0.21/1.03 % (1453041)Refutation found. Thanks to Tanya!
% 0.21/1.03 % SZS status Unsatisfiable for theBenchmark
% 0.21/1.03 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.03 % (1453041)------------------------------
% 0.21/1.03 % (1453041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.03 % (1453041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.03 % (1453041)CaDiCaL version: 2.1.3
% 0.21/1.03 % (1453041)Termination reason: Refutation
% 0.21/1.03 % (1453041)Time elapsed: 0.008 s
% 0.21/1.03 % (1453041)Peak memory usage: 89 MB
% 0.21/1.03 % (1453041)Instructions burned: 10 (million)
% 0.21/1.03 % (1453041)------------------------------
% 0.21/1.03 % (1453041)------------------------------
% 0.21/1.03 % (1453033)Success in time 0.409 s
% 0.21/1.03 % Vampire exiting
%------------------------------------------------------------------------------