%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC179-1 : 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 : n004.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 01:02:49 PM UTC 2026
% Result : Unsatisfiable 2.75s 1.38s
% Output : Refutation 2.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 13 unt; 4 def)
% Number of atoms : 68 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 29 ~; 26 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f65,axiom,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
~ duplicatefreeP(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f219,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f220,plain,
( sk3 = cons(sk5,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f219]) ).
fof(f227,plain,
~ duplicatefreeP(sk3),
inference(definition_unfolding,[],[f206,f205]) ).
fof(f245,definition,
( spl0_3
<=> ! [X1] : ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f246,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f248,definition,
( spl0_4
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f249,plain,
( ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f250,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f72,f248,f245]) ).
fof(f252,definition,
( spl0_5
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f253,plain,
( nil = sk3
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f267,definition,
( spl0_9
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f268,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f269,plain,
( spl0_5
| spl0_9 ),
inference(avatar_split_clause,[],[f220,f267,f252]) ).
fof(f292,plain,
( ~ duplicatefreeP(nil)
| ~ spl0_5 ),
inference(superposition,[],[f227,f253]) ).
fof(f295,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f2,f292]) ).
fof(f296,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f295]) ).
fof(f304,plain,
( ! [X0] : duplicatefreeP(cons(X0,nil))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f65,f246]) ).
fof(f305,plain,
( duplicatefreeP(sk3)
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f304,f268]) ).
fof(f306,plain,
( $false
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f305,f227]) ).
fof(f307,plain,
( ~ spl0_3
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f306]) ).
fof(f309,plain,
( duplicatefreeP(sk3)
| ~ spl0_4 ),
inference(resolution,[],[f249,f202]) ).
fof(f313,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f309,f227]) ).
fof(f314,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f313]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f250]) ).
cnf(s6,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f269]) ).
cnf(s17,plain,
~ spl0_5,
inference(sat_conversion,[],[f296]) ).
cnf(s20,plain,
( ~ spl0_3
| ~ spl0_9 ),
inference(sat_conversion,[],[f307]) ).
cnf(s21,plain,
~ spl0_4,
inference(sat_conversion,[],[f314]) ).
cnf(s25,plain,
spl0_9,
inference(rat,[],[s6,s17]) ).
cnf(s26,plain,
~ spl0_3,
inference(rat,[],[s20,s25]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s2,s21,s26]) ).
fof(f315,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC179-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n004.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Mon Sep 28 08:19:07 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 2.75/1.38 % (203305)Input is clausal, will run a generic CNF schedule.
% 2.75/1.38 % (203314)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=338842683:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.75/1.38 % (203314)First to succeed.
% 2.75/1.38 % (203314)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-203305"
% 2.75/1.38 % (203312)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3172271327:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.75/1.38 % (203313)lrs+10_1_sil=8000:sp=occurrence:random_seed=550480824:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.75/1.38 % (203310)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=3732955780:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.75/1.38 % (203315)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3584346145:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.75/1.38 % (203316)dis-21_1_sil=8000:lcm=predicate:random_seed=3992455290: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)
% 2.75/1.38 % (203311)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3979459080:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.75/1.38 % (203313)Also succeeded, but the first one will report.
% 2.75/1.38 % (203315)Also succeeded, but the first one will report.
% 2.75/1.38 % (203316)Instruction limit reached!
% 2.75/1.38 % (203316)------------------------------
% 2.75/1.38 % (203316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.38 % (203316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.38 % (203316)CaDiCaL version: 2.1.3
% 2.75/1.38 % (203316)Termination reason: Instruction limit
% 2.75/1.38 % (203316)Termination phase: Saturation
% 2.75/1.38 % (203316)Time elapsed: 0.070 s
% 2.75/1.38 % (203316)Peak memory usage: 90 MB
% 2.75/1.38 % (203316)Instructions burned: 118 (million)
% 2.75/1.38 % (203314)Refutation found. Thanks to Tanya!
% 2.75/1.38 % SZS status Unsatisfiable for theBenchmark
% 2.75/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 2.75/1.38 % (203314)------------------------------
% 2.75/1.38 % (203314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.38 % (203314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.38 % (203314)CaDiCaL version: 2.1.3
% 2.75/1.38 % (203314)Termination reason: Refutation
% 2.75/1.38 % (203314)Time elapsed: 0.003 s
% 2.75/1.38 % (203314)Peak memory usage: 90 MB
% 2.75/1.38 % (203314)Instructions burned: 4 (million)
% 2.75/1.38 % (203314)------------------------------
% 2.75/1.38 % (203314)------------------------------
% 2.75/1.38 % (203305)Success in time 0.309 s
% 2.75/1.38 % Vampire exiting
%------------------------------------------------------------------------------