%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL441-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 11:52:26 AM UTC 2026
% Result : Unsatisfiable 5.56s 1.76s
% Output : Refutation 5.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 8 unt; 3 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 30 ( 14 ~; 13 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X2,X0,X1] :
( c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,X1,tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).
fof(f239,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f1453,negated_conjecture,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_in(v_a,v_tt,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1454,negated_conjecture,
( ~ c_in(v_a,v_tt,t_a)
| ~ c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1457,definition,
( spl0_1
<=> c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1459,plain,
( ~ c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| spl0_1 ),
inference(avatar_component_clause,[],[f1457]) ).
fof(f1461,definition,
( spl0_2
<=> c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1463,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| spl0_2 ),
inference(avatar_component_clause,[],[f1461]) ).
fof(f1466,definition,
( spl0_3
<=> c_in(v_a,v_tt,t_a) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1469,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1454,f1466,f1457]) ).
fof(f1470,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1453,f1461,f1466]) ).
fof(f1488,plain,
( ~ c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a))
| spl0_1 ),
inference(resolution,[],[f12,f1459]) ).
fof(f1489,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a))
| spl0_2 ),
inference(resolution,[],[f12,f1463]) ).
fof(f1490,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f1489,f239]) ).
fof(f1491,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f1490]) ).
fof(f1492,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f1488,f239]) ).
fof(f1493,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f1492]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f1469]) ).
cnf(s3,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f1470]) ).
cnf(s4,plain,
spl0_2,
inference(sat_conversion,[],[f1491]) ).
cnf(s5,plain,
spl0_1,
inference(sat_conversion,[],[f1493]) ).
cnf(s6,plain,
spl0_3,
inference(rat,[],[s3,s4]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s2,s6,s5]) ).
fof(f1494,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL441-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.35 % Computer : n009.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 27 15:43:30 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 5.56/1.76 % (2198589)Input is clausal, will run a generic CNF schedule.
% 5.56/1.76 % (2198596)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1955417758:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.56/1.76 % (2198599)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1672752462:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.56/1.76 % (2198598)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1677147529:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.56/1.76 % (2198594)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=1655128658:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.56/1.76 % (2198600)dis-21_1_sil=8000:lcm=predicate:random_seed=2860445648: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)
% 5.56/1.76 % (2198597)lrs+10_1_sil=8000:sp=occurrence:random_seed=345998109:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.56/1.76 % (2198595)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=242344331:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.56/1.76 % (2198597)First to succeed.
% 5.56/1.76 % (2198597)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2198589"
% 5.56/1.76 % (2198600)Also succeeded, but the first one will report.
% 5.56/1.76 % (2198598)Also succeeded, but the first one will report.
% 5.56/1.76 % (2198599)Also succeeded, but the first one will report.
% 5.56/1.76 % (2198597)Refutation found. Thanks to Tanya!
% 5.56/1.76 % SZS status Unsatisfiable for theBenchmark
% 5.56/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 5.56/1.76 % (2198597)------------------------------
% 5.56/1.76 % (2198597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.76 % (2198597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.76 % (2198597)CaDiCaL version: 2.1.3
% 5.56/1.76 % (2198597)Termination reason: Refutation
% 5.56/1.76 % (2198597)Time elapsed: 0.009 s
% 5.56/1.76 % (2198597)Peak memory usage: 90 MB
% 5.56/1.76 % (2198597)Instructions burned: 6 (million)
% 5.56/1.76 % (2198597)------------------------------
% 5.56/1.76 % (2198597)------------------------------
% 5.56/1.76 % (2198589)Success in time 0.725 s
% 5.56/1.76 % Vampire exiting
%------------------------------------------------------------------------------