%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT269-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 11:48:08 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 26 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-5 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,axiom,
c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OTop_Acl_A_58_AA_A_61_61_ATrue_0) ).
fof(f3,axiom,
! [X0,X1] :
( c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,X1,X0,t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,X1,X0,t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(X1,v_A,t_a)
| ~ c_in(X0,v_A,t_a)
| c_Tarski_Ointerval(v_r,X1,X0,t_a) = c_emptyset ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_Aa2_A_58_AA_59_Ab2_A_58_AA_59_Ainterval_Ar_Aa2_Ab2_A_126_61_A_123_125_A_124_93_A_61_61_62_A_I_124_Apset_A_61_Ainterval_Ar_Aa2_Ab2_M_Aorder_A_61_Ainduced_A_Iinterval_Ar_Aa2_Ab2_J_Ar_A_124_J_A_58_ACompleteLattice_A_61_61_ATrue_0) ).
fof(f4,axiom,
v_intY1 = c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OintY1_A_61_61_Ainterval_Ar_A_Ilub_AY_Acl_J_A_ITop_Acl_J_0) ).
fof(f5,axiom,
c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Olub_AY_Acl_A_58_AA_A_61_61_ATrue_0) ).
fof(f6,axiom,
! [X0] :
( ~ c_in(X0,v_A,t_a)
| c_Tarski_Ointerval(v_r,X0,c_Tarski_OTop(v_cl,t_a),t_a) != c_emptyset ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Ox1_A_58_AA_A_61_61_62_Ainterval_Ar_Ax1_A_ITop_Acl_J_A_61_A_123_125_A_61_61_AFalse_0) ).
fof(f7,plain,
! [X0] :
( c_emptyset != c_Tarski_Ointerval(v_r,X0,c_Tarski_OTop(v_cl,t_a),t_a)
| ~ c_in(X0,v_A,t_a) ),
inference(reorient_equations,[],[f6]) ).
fof(f17,plain,
( v_intY1 != c_emptyset
| ~ c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a) ),
inference(superposition,[],[f7,f4]) ).
fof(f18,plain,
v_intY1 != c_emptyset,
inference(forward_subsumption_resolution,[],[f17,f5]) ).
fof(f25,plain,
( c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a)
| ~ c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a)
| v_intY1 = c_emptyset ),
inference(superposition,[],[f3,f4]) ).
fof(f26,plain,
( ~ c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a)
| ~ c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a)
| v_intY1 = c_emptyset ),
inference(forward_subsumption_resolution,[],[f25,f1]) ).
fof(f27,plain,
( ~ c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a)
| v_intY1 = c_emptyset ),
inference(forward_subsumption_resolution,[],[f26,f5]) ).
fof(f28,plain,
v_intY1 = c_emptyset,
inference(forward_subsumption_resolution,[],[f27,f2]) ).
fof(f31,plain,
$false,
inference(global_subsumption,[],[f28,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT269-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n006.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 14:09:10 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.46 % (3008894)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (3008901)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1378931707:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (3008901) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3008894-3008901"...
% 0.10/0.46 % (3008901)...printing done.
% 0.10/0.46 % (3008901)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (3008901)------------------------------
% 0.10/0.46 % (3008901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (3008901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (3008901)CaDiCaL version: 2.1.3
% 0.10/0.46 % (3008901)Termination reason: Refutation
% 0.10/0.46 % (3008901)Time elapsed: 0.001 s
% 0.10/0.46 % (3008901)Peak memory usage: 11 MB
% 0.10/0.46 % (3008901)Instructions burned: 1 (million)
% 0.10/0.46 % (3008894)Success in time 0.028 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------