%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL441-2 : 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 : n001.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 0.16s 0.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 8 unt; 2 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 12 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(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_3) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,X1,tc_PropLog_Opl(X2))
| c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).
fof(f3,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f4,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))
| 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)) ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f5,plain,
! [X2,X0,X1] :
( ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| c_in(X0,X1,tc_PropLog_Opl(X2)) ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f6,plain,
! [X2,X0,X1] : ~ c_in(X0,c_insert(X0,X1,X2),X2),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f8,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(f10,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,[],[f8]) ).
fof(f12,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(f14,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,[],[f12]) ).
fof(f15,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f12,f8]) ).
fof(f16,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,[],[f5,f14]) ).
fof(f17,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f16,f6]) ).
fof(f18,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f17]) ).
fof(f19,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,[],[f10,f5]) ).
fof(f20,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f19,f6]) ).
fof(f21,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f20]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f15]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f18]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f21]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f22,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL441-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n001.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 15:49:16 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 0.16/0.48 % (3741356)Will run a generic schedule for satisfiability detection.
% 0.16/0.48 % (3741361)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2512285263_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.48 % TRYING [1]
% 0.16/0.48 % TRYING [2]
% 0.16/0.48 % TRYING [3]
% 0.16/0.48 % TRYING [4]
% 0.16/0.48 % TRYING [5]
% 0.16/0.48 % (3741362)% WARNING: option uhcvi not known.
% 0.16/0.48 % TRYING [6]
% 0.16/0.48 % (3741362)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4135624823:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.48 % (3741363)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3701894136:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.48 % (3741364)dis+10_1_sil=32000:sp=arity:random_seed=3916265819:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.48 % (3741365)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3857647299:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.48 % TRYING [7]
% 0.16/0.48 % (3741366)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2356221751:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.48 % (3741367)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=145808879:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.48 % (3741364) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3741356-3741364"...
% 0.16/0.48 % (3741362) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3741356-3741362"...
% 0.16/0.48 % (3741363) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3741356-3741363"...
% 0.16/0.48 % (3741365) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3741356-3741365"...
% 0.16/0.48 % (3741366) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3741356-3741366"...
% 0.16/0.48 % (3741367) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3741356-3741367"...
% 0.16/0.48 % (3741362)...printing done.
% 0.16/0.48 % (3741364)...printing done.
% 0.16/0.48 % (3741363)...printing done.
% 0.16/0.48 % (3741365)...printing done.
% 0.16/0.48 % (3741366)...printing done.
% 0.16/0.48 % (3741367)...printing done.
% 0.16/0.48 % (3741362)Refutation found. Thanks to Tanya!
% 0.16/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (3741362)------------------------------
% 0.16/0.48 % (3741362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48 % (3741362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48 % (3741362)CaDiCaL version: 2.1.3
% 0.16/0.48 % (3741362)Termination reason: Refutation
% 0.16/0.48 % (3741362)Time elapsed: 0.002 s
% 0.16/0.48 % (3741362)Peak memory usage: 12 MB
% 0.16/0.48 % (3741356)Success in time 0.048 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------