%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN089-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 01:49:38 PM UTC 2026
% Result : Unsatisfiable 0.16s 1.03s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 12 unt; 3 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 7 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 7 ( 6 usr; 7 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ p_1_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_goal_1) ).
fof(f3,axiom,
( p_1_2
| ~ q_2_2
| ~ q_1_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_type11_2) ).
fof(f11,axiom,
q_1_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_2) ).
fof(f13,axiom,
q_2_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_4) ).
fof(f18,definition,
( spl0_2
<=> q_1_1 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f21,plain,
spl0_2,
inference(avatar_split_clause,[],[f11,f18]) ).
fof(f23,definition,
( spl0_3
<=> q_2_2 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f26,plain,
spl0_3,
inference(avatar_split_clause,[],[f13,f23]) ).
fof(f39,definition,
( spl0_6
<=> p_1_2 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f42,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f3,f39,f23,f18]) ).
fof(f48,plain,
~ spl0_6,
inference(avatar_split_clause,[],[f1,f39]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f21]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f26]) ).
cnf(s8,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f42]) ).
cnf(s11,plain,
~ spl0_6,
inference(sat_conversion,[],[f48]) ).
cnf(s12,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(rat,[],[s8,s11]) ).
cnf(s14,plain,
~ spl0_2,
inference(rat,[],[s12,s4]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s2,s14]) ).
fof(f49,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN089-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n005.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 15:33:31 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running first-order theorem proving
% 0.08/0.20 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
% 0.16/1.03 % (871319)Input is clausal, will run a generic CNF schedule.
% 0.16/1.03 % (871328)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2622917121:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.16/1.03 % (871328)First to succeed.
% 0.16/1.03 % (871328)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-871319"
% 0.16/1.03 % (871327)lrs+10_1_sil=8000:sp=occurrence:random_seed=491383832:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.16/1.03 % (871324)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=4132437795:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.16/1.03 % (871330)dis-21_1_sil=8000:lcm=predicate:random_seed=1370339161: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)
% 0.16/1.03 % (871326)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=70313298:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.16/1.03 % (871325)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=254625332:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.16/1.03 % (871329)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2668915722:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.16/1.03 % (871327)Also succeeded, but the first one will report.
% 0.16/1.03 % (871330)Also succeeded, but the first one will report.
% 0.16/1.03 % (871329)Also succeeded, but the first one will report.
% 0.16/1.03 % (871328)Refutation found. Thanks to Tanya!
% 0.16/1.03 % SZS status Unsatisfiable for theBenchmark
% 0.16/1.03 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.03 % (871328)------------------------------
% 0.16/1.03 % (871328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.03 % (871328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.03 % (871328)CaDiCaL version: 2.1.3
% 0.16/1.03 % (871328)Termination reason: Refutation
% 0.16/1.03 % (871328)Time elapsed: 0.001 s
% 0.16/1.03 % (871328)Peak memory usage: 88 MB
% 0.16/1.03 % (871328)------------------------------
% 0.16/1.03 % (871328)------------------------------
% 0.16/1.03 % (871319)Success in time 0.299 s
% 0.16/1.03 % Vampire exiting
%------------------------------------------------------------------------------