%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC129-1 : 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 : n007.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 01:02:35 PM UTC 2026
% Result : Unsatisfiable 4.31s 1.76s
% Output : Refutation 4.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 13 unt; 1 def)
% Number of atoms : 36 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 13 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
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(f201,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f206,negated_conjecture,
~ neq(sk4,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
~ cyclefreeP(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f243,definition,
( spl0_2
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f244,plain,
( ssList(nil)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f279,plain,
spl0_2,
inference(avatar_split_clause,[],[f8,f243]) ).
fof(f282,plain,
~ neq(sk2,nil),
inference(forward_demodulation,[],[f206,f204]) ).
fof(f292,plain,
( ~ ssList(sk2)
| ~ ssList(nil)
| nil = sk2 ),
inference(resolution,[],[f102,f282]) ).
fof(f297,plain,
( ~ ssList(nil)
| nil = sk2 ),
inference(forward_subsumption_resolution,[],[f292,f201]) ).
fof(f298,plain,
( nil = sk2
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f297,f244]) ).
fof(f300,plain,
( ~ cyclefreeP(nil)
| ~ spl0_2 ),
inference(superposition,[],[f207,f298]) ).
fof(f302,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f300,f7]) ).
fof(f303,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f302]) ).
cnf(s10,plain,
spl0_2,
inference(sat_conversion,[],[f279]) ).
cnf(s11,plain,
~ spl0_2,
inference(sat_conversion,[],[f303]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s10,s11]) ).
fof(f304,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC129-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n007.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 28 08:00:55 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.46 Running first-order theorem proving
% 0.15/0.46 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
% 4.31/1.76 % (2235038)Input is clausal, will run a generic CNF schedule.
% 4.31/1.76 % (2235049)dis-21_1_sil=8000:lcm=predicate:random_seed=3581932883: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)
% 4.31/1.76 % (2235048)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1249929349:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.31/1.76 % (2235048)First to succeed.
% 4.31/1.76 % (2235048)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2235038"
% 4.31/1.76 % (2235045)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2849452150:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.31/1.76 % (2235043)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=4159820630:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.31/1.76 % (2235044)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4178713834:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.31/1.76 % (2235046)lrs+10_1_sil=8000:sp=occurrence:random_seed=2617553245:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.31/1.76 % (2235047)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1417063910:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.31/1.76 % (2235047)Also succeeded, but the first one will report.
% 4.31/1.76 % (2235046)Also succeeded, but the first one will report.
% 4.31/1.76 % (2235049)Instruction limit reached!
% 4.31/1.76 % (2235049)------------------------------
% 4.31/1.76 % (2235049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.31/1.76 % (2235049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.31/1.76 % (2235049)CaDiCaL version: 2.1.3
% 4.31/1.76 % (2235049)Termination reason: Instruction limit
% 4.31/1.76 % (2235049)Termination phase: Saturation
% 4.31/1.76 % (2235049)Time elapsed: 0.043 s
% 4.31/1.76 % (2235049)Peak memory usage: 89 MB
% 4.31/1.76 % (2235049)Instructions burned: 119 (million)
% 4.31/1.76 % (2235057)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=105742204:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.31/1.76 % (2235057)Also succeeded, but the first one will report.
% 4.31/1.76 % (2235048)Refutation found. Thanks to Tanya!
% 4.31/1.76 % SZS status Unsatisfiable for theBenchmark
% 4.31/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 4.31/1.76 % (2235048)------------------------------
% 4.31/1.76 % (2235048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.31/1.76 % (2235048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.31/1.76 % (2235048)CaDiCaL version: 2.1.3
% 4.31/1.76 % (2235048)Termination reason: Refutation
% 4.31/1.76 % (2235048)Time elapsed: 0.007 s
% 4.31/1.76 % (2235048)Peak memory usage: 90 MB
% 4.31/1.76 % (2235048)Instructions burned: 8 (million)
% 4.31/1.76 % (2235048)------------------------------
% 4.31/1.76 % (2235048)------------------------------
% 4.31/1.76 % (2235038)Success in time 0.496 s
% 4.31/1.76 % Vampire exiting
%------------------------------------------------------------------------------