%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT272-2 : 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 : n004.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 11:48:09 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.44s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-4 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f2,negated_conjecture,
c_in(v_x,v_S,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f3,negated_conjecture,
~ c_in(c_Pair(v_x,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ c_Tarski_OisLub(X0,v_cl,X1,t_a)
| ~ c_in(X2,X0,t_a)
| c_in(c_Pair(X2,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Ay1_A_58_AS1_A_124_93_A_61_61_62_A_Iy1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f5,plain,
~ c_in(v_x,v_S,t_a),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f6,plain,
c_in(c_Pair(v_x,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f7,plain,
! [X2,X0,X1] :
( c_in(X2,X0,t_a)
| ~ c_Tarski_OisLub(X0,v_cl,X1,t_a)
| ~ c_in(c_Pair(X2,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f8,plain,
! [X0] :
( ~ c_Tarski_OisLub(v_S,v_cl,X0,t_a)
| ~ c_in(c_Pair(v_x,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f7,f5]) ).
fof(f9,plain,
~ c_in(c_Pair(v_x,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(resolution,[],[f8,f1]) ).
fof(f10,plain,
$false,
inference(resolution,[],[f9,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT272-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 14:09:07 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.10/0.44 % (3557455)Will run a generic schedule for satisfiability detection.
% 0.10/0.44 % (3557466)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3672265691:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.44 % (3557466) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3557455-3557466"...
% 0.10/0.44 % (3557466)...printing done.
% 0.10/0.44 % (3557466)Refutation found. Thanks to Tanya!
% 0.10/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.44 % (3557466)------------------------------
% 0.10/0.44 % (3557466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (3557466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (3557466)CaDiCaL version: 2.1.3
% 0.10/0.44 % (3557466)Termination reason: Refutation
% 0.10/0.44 % (3557466)Time elapsed: 0.0000 s
% 0.10/0.44 % (3557466)Peak memory usage: 11 MB
% 0.10/0.44 % (3557455)Success in time 0.023 s
% 0.10/0.44 % Vampire exiting
%------------------------------------------------------------------------------