%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC104-1 : 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 : 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 01:02:28 PM UTC 2026
% Result : Unsatisfiable 2.56s 1.24s
% Output : Refutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 52 ( 17 unt; 4 def)
% Number of atoms : 106 ( 16 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 107 ( 53 ~; 50 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f118,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f155,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
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,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
sk4 = app(sk3,sk5),
inference(reorient_equations,[],[f208]) ).
fof(f213,negated_conjecture,
( nil = sk4
| nil != sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,negated_conjecture,
( ~ neq(sk1,nil)
| ~ frontsegP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f217,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f218,plain,
( ~ neq(sk3,nil)
| ~ frontsegP(sk4,sk3) ),
inference(definition_unfolding,[],[f214,f205,f204,f205]) ).
fof(f222,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f226,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f155]) ).
fof(f233,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f222]) ).
fof(f256,definition,
( spl0_6
<=> frontsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f257,plain,
( ~ frontsegP(sk4,sk3)
| spl0_6 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f259,definition,
( spl0_7
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f260,plain,
( ~ neq(sk3,nil)
| spl0_7 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f261,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f218,f259,f256]) ).
fof(f263,definition,
( spl0_8
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f266,definition,
( spl0_9
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f267,plain,
( nil = sk4
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f268,plain,
( ~ spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f213,f266,f263]) ).
fof(f346,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f226,f85]) ).
fof(f352,plain,
( frontsegP(sk4,sk3)
| ~ ssList(sk3)
| ~ ssList(sk5) ),
inference(superposition,[],[f346,f209]) ).
fof(f358,plain,
( ~ ssList(sk3)
| ~ ssList(sk5)
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f352,f257]) ).
fof(f360,plain,
( ~ ssList(sk5)
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f358,f202]) ).
fof(f361,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f360,f207]) ).
fof(f362,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f361]) ).
fof(f375,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3
| spl0_7 ),
inference(resolution,[],[f260,f102]) ).
fof(f376,plain,
( ~ ssList(nil)
| nil = sk3
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f375,f202]) ).
fof(f384,plain,
( nil = sk3
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f376,f8]) ).
fof(f385,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f384,f259,f263]) ).
fof(f386,plain,
( neq(nil,nil)
| ~ spl0_9 ),
inference(superposition,[],[f217,f267]) ).
fof(f477,plain,
( ~ ssList(nil)
| ~ spl0_9 ),
inference(resolution,[],[f386,f233]) ).
fof(f478,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f477,f8]) ).
fof(f479,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f478]) ).
cnf(s5,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f261]) ).
cnf(s6,plain,
( ~ spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f268]) ).
cnf(s11,plain,
spl0_6,
inference(sat_conversion,[],[f362]) ).
cnf(s15,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f385]) ).
cnf(s20,plain,
~ spl0_9,
inference(sat_conversion,[],[f479]) ).
cnf(s22,plain,
~ spl0_8,
inference(rat,[],[s6,s20]) ).
cnf(s24,plain,
spl0_7,
inference(rat,[],[s15,s22]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s5,s24,s11]) ).
fof(f481,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC104-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 07:59:48 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.40 Running first-order theorem proving
% 0.04/0.40 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
% 2.56/1.24 % (197524)Input is clausal, will run a generic CNF schedule.
% 2.56/1.24 % (197533)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3227396160:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.56/1.24 % (197533)First to succeed.
% 2.56/1.24 % (197533)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-197524"
% 2.56/1.24 % (197531)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2089049623:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.56/1.24 % (197534)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1544783900:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.56/1.24 % (197529)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=886256180:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.56/1.24 % (197535)dis-21_1_sil=8000:lcm=predicate:random_seed=610956531: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)
% 2.56/1.24 % (197530)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=691465546:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.56/1.24 % (197532)lrs+10_1_sil=8000:sp=occurrence:random_seed=4051839926:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.56/1.24 % (197532)Also succeeded, but the first one will report.
% 2.56/1.24 % (197534)Also succeeded, but the first one will report.
% 2.56/1.24 % (197535)Instruction limit reached!
% 2.56/1.24 % (197535)------------------------------
% 2.56/1.24 % (197535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.24 % (197535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.24 % (197535)CaDiCaL version: 2.1.3
% 2.56/1.24 % (197535)Termination reason: Instruction limit
% 2.56/1.24 % (197535)Termination phase: Saturation
% 2.56/1.24 % (197535)Time elapsed: 0.060 s
% 2.56/1.24 % (197535)Peak memory usage: 89 MB
% 2.56/1.24 % (197535)Instructions burned: 118 (million)
% 2.56/1.24 % (197533)Refutation found. Thanks to Tanya!
% 2.56/1.24 % SZS status Unsatisfiable for theBenchmark
% 2.56/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 2.56/1.24 % (197533)------------------------------
% 2.56/1.24 % (197533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.24 % (197533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.24 % (197533)CaDiCaL version: 2.1.3
% 2.56/1.24 % (197533)Termination reason: Refutation
% 2.56/1.24 % (197533)Time elapsed: 0.006 s
% 2.56/1.24 % (197533)Peak memory usage: 90 MB
% 2.56/1.24 % (197533)Instructions burned: 12 (million)
% 2.56/1.24 % (197533)------------------------------
% 2.56/1.24 % (197533)------------------------------
% 2.56/1.24 % (197524)Success in time 0.292 s
% 2.56/1.24 % Vampire exiting
%------------------------------------------------------------------------------