%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL441-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 11:58:41 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.51s
% Output : Refutation 0.18s
% 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/sandbox2/benchmark/Axioms/LCL005-0.ax',cls_PropLog_Othms_OH_0) ).
fof(f239,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',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/sandbox2/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/sandbox2/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(f1891,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(f1892,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(f1893,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f1892,f239]) ).
fof(f1894,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f1893]) ).
fof(f1895,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f1891,f239]) ).
fof(f1896,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f1895]) ).
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,[],[f1894]) ).
cnf(s5,plain,
spl0_1,
inference(sat_conversion,[],[f1896]) ).
cnf(s6,plain,
spl0_3,
inference(rat,[],[s3,s4]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s2,s6,s5]) ).
fof(f1897,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.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n010.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:43:48 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51 % (1120998)Will run a generic schedule for satisfiability detection.
% 0.18/0.51 % (1121008)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3805006394:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.51 % (1121004)% WARNING: option uhcvi not known.
% 0.18/0.51 % (1121006)dis+10_1_sil=32000:sp=arity:random_seed=2457850954:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.51 % (1121003)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1400545883_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.51 % (1121004)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2042684213:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.51 % (1121005)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3632507531:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.51 % (1121007)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1305372030:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.51 % (1121009)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2278885519:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.51 % (1121006) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1120998-1121006"...
% 0.18/0.51 % (1121006)...printing done.
% 0.18/0.51 % (1121004) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1120998-1121004"...
% 0.18/0.51 % (1121006)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (1121006)------------------------------
% 0.18/0.51 % (1121006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.51 % (1121006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.51 % (1121006)CaDiCaL version: 2.1.3
% 0.18/0.51 % (1121006)Termination reason: Refutation
% 0.18/0.51 % (1121006)Time elapsed: 0.016 s
% 0.18/0.51 % (1121006)Peak memory usage: 13 MB
% 0.18/0.51 % (1121006)Instructions burned: 23 (million)
% 0.18/0.51 % (1120998)Success in time 0.086 s
% 0.18/0.51 % Vampire exiting
%------------------------------------------------------------------------------