%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC116-1 : 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 : 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 01:02:31 PM UTC 2026
% Result : Unsatisfiable 3.70s 1.49s
% Output : Refutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 42 ( 10 unt; 5 def)
% Number of atoms : 82 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 75 ( 35 ~; 35 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
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(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,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ~ neq(sk1,nil)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( ~ neq(sk4,nil)
| segmentP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f213,plain,
( nil != sk4
| nil != sk3 ),
inference(definition_unfolding,[],[f207,f204,f205]) ).
fof(f214,plain,
( ~ neq(sk3,nil)
| ~ segmentP(sk4,sk3) ),
inference(definition_unfolding,[],[f208,f205,f204,f205]) ).
fof(f234,definition,
( spl0_4
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f237,definition,
( spl0_5
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f238,plain,
( ~ neq(sk4,nil)
| spl0_5 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f239,plain,
( spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f210,f237,f234]) ).
fof(f241,definition,
( spl0_6
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f243,plain,
( spl0_6
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f209,f237,f241]) ).
fof(f246,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f214,f241,f234]) ).
fof(f248,definition,
( spl0_7
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f251,definition,
( spl0_8
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f252,plain,
( nil != sk4
| spl0_8 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f253,plain,
( ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f213,f251,f248]) ).
fof(f255,plain,
( ~ spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f206,f248,f251]) ).
fof(f269,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_5 ),
inference(resolution,[],[f102,f238]) ).
fof(f274,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f269,f203]) ).
fof(f276,plain,
( nil = sk4
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f274,f8]) ).
fof(f278,plain,
( $false
| spl0_5
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f276,f252]) ).
fof(f279,plain,
( spl0_5
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f278]) ).
cnf(s3,plain,
( spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f239]) ).
cnf(s4,plain,
( ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f243]) ).
cnf(s5,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f246]) ).
cnf(s6,plain,
( ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f253]) ).
cnf(s7,plain,
( spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f255]) ).
cnf(s10,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f279]) ).
cnf(s13,plain,
~ spl0_8,
inference(rat,[],[s6,s7]) ).
cnf(s14,plain,
spl0_5,
inference(rat,[],[s10,s13]) ).
cnf(s15,plain,
spl0_6,
inference(rat,[],[s4,s14]) ).
cnf(s16,plain,
spl0_4,
inference(rat,[],[s3,s14]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s5,s15,s16]) ).
fof(f280,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC116-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 07:59:16 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 3.70/1.49 % (630070)Input is clausal, will run a generic CNF schedule.
% 3.70/1.49 % (630081)dis-21_1_sil=8000:lcm=predicate:random_seed=1051546038: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)
% 3.70/1.49 % (630081)Instruction limit reached!
% 3.70/1.49 % (630081)------------------------------
% 3.70/1.49 % (630081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.49 % (630081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.49 % (630081)CaDiCaL version: 2.1.3
% 3.70/1.49 % (630081)Termination reason: Instruction limit
% 3.70/1.49 % (630081)Termination phase: Saturation
% 3.70/1.49 % (630081)Time elapsed: 0.028 s
% 3.70/1.49 % (630081)Peak memory usage: 89 MB
% 3.70/1.49 % (630081)Instructions burned: 117 (million)
% 3.70/1.49 % (630078)lrs+10_1_sil=8000:sp=occurrence:random_seed=2598909967:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.70/1.49 % (630079)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1912958176:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.70/1.49 % (630075)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=1141845026:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.70/1.49 % (630080)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2958540284:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.70/1.49 % (630076)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1498275002:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.70/1.49 % (630077)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=570197450:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.70/1.49 % (630078)Also succeeded, but the first one will report.
% 3.70/1.49 % (630079)First to succeed.
% 3.70/1.49 % (630079)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-630070"
% 3.70/1.49 % (630080)Also succeeded, but the first one will report.
% 3.70/1.49 % (630089)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=2557543229:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.70/1.49 % (630089)Also succeeded, but the first one will report.
% 3.70/1.49 % (630079)Refutation found. Thanks to Tanya!
% 3.70/1.49 % SZS status Unsatisfiable for theBenchmark
% 3.70/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.70/1.49 % (630079)------------------------------
% 3.70/1.49 % (630079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.49 % (630079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.49 % (630079)CaDiCaL version: 2.1.3
% 3.70/1.49 % (630079)Termination reason: Refutation
% 3.70/1.49 % (630079)Time elapsed: 0.004 s
% 3.70/1.49 % (630079)Peak memory usage: 89 MB
% 3.70/1.49 % (630079)Instructions burned: 3 (million)
% 3.70/1.49 % (630079)------------------------------
% 3.70/1.49 % (630079)------------------------------
% 3.70/1.49 % (630070)Success in time 0.446 s
% 3.70/1.49 % Vampire exiting
%------------------------------------------------------------------------------