%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT269-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 11:46:27 AM UTC 2026
% Result : Unsatisfiable 0.25s 1.41s
% Output : Refutation 0.25s
% 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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(f8,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(f9,plain,
v_intY1 != c_emptyset,
inference(forward_subsumption_resolution,[],[f8,f5]) ).
fof(f10,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(f11,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,[],[f10,f1]) ).
fof(f12,plain,
( ~ c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a)
| v_intY1 = c_emptyset ),
inference(forward_subsumption_resolution,[],[f11,f5]) ).
fof(f13,plain,
v_intY1 = c_emptyset,
inference(forward_subsumption_resolution,[],[f12,f2]) ).
fof(f15,plain,
$false,
inference(forward_subsumption_resolution,[],[f9,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT269-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n017.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sun Sep 27 14:04:50 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.48 Running first-order theorem proving
% 0.24/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/1.41 % (2586992)Input is clausal, will run a generic CNF schedule.
% 0.25/1.41 % (2587001)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3356046052:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.25/1.41 % (2587001)First to succeed.
% 0.25/1.41 % (2587001)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2586992"
% 0.25/1.41 % (2587000)lrs+10_1_sil=8000:sp=occurrence:random_seed=4030745791:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.25/1.41 % (2586999)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4107803071:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.25/1.41 % (2586997)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=3344237377:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.25/1.41 % (2586998)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1105346204:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.25/1.41 % (2587000)Also succeeded, but the first one will report.
% 0.25/1.41 % (2587003)dis-21_1_sil=8000:lcm=predicate:random_seed=2797732422: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)
% 0.25/1.41 % (2587002)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=139107015:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.25/1.41 % (2587003)Refutation not found, incomplete strategy
% 0.25/1.41 % (2587003)------------------------------
% 0.25/1.41 % (2587003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.25/1.41 % (2587003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/1.41 % (2587003)CaDiCaL version: 2.1.3
% 0.25/1.41 % (2587003)Termination reason: Refutation not found, incomplete strategy
% 0.25/1.41 % (2587003)Time elapsed: 0.002 s
% 0.25/1.41 % (2587003)Peak memory usage: 88 MB
% 0.25/1.41 % (2587002)Also succeeded, but the first one will report.
% 0.25/1.41 % (2587001)Refutation found. Thanks to Tanya!
% 0.25/1.41 % SZS status Unsatisfiable for theBenchmark
% 0.25/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/1.41 % (2587001)------------------------------
% 0.25/1.41 % (2587001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.25/1.41 % (2587001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/1.41 % (2587001)CaDiCaL version: 2.1.3
% 0.25/1.41 % (2587001)Termination reason: Refutation
% 0.25/1.41 % (2587001)Time elapsed: 0.001 s
% 0.25/1.41 % (2587001)Peak memory usage: 88 MB
% 0.25/1.41 % (2587001)Instructions burned: 1 (million)
% 0.25/1.41 % (2587001)------------------------------
% 0.25/1.41 % (2587001)------------------------------
% 0.25/1.41 % (2586992)Success in time 0.289 s
% 0.25/1.41 % Vampire exiting
%------------------------------------------------------------------------------