%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT269-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 3.53s 1.21s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 30 ( 11 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 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 : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3318,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(f3319,axiom,
! [X0,X1] :
( ~ c_in(X0,v_A,t_a)
| ~ c_in(X1,v_A,t_a)
| 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_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(f3320,plain,
! [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_emptyset = c_Tarski_Ointerval(v_r,X1,X0,t_a) ),
inference(reorient_equations,[],[f3319]) ).
fof(f3325,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(f3326,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(f3327,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(f3328,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,[],[f3327]) ).
fof(f3329,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(f3679,plain,
( c_emptyset != v_intY1
| ~ c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a) ),
inference(superposition,[],[f3328,f3325]) ).
fof(f3680,plain,
c_emptyset != v_intY1,
inference(forward_subsumption_resolution,[],[f3679,f3326]) ).
fof(f4016,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)
| c_emptyset = v_intY1 ),
inference(superposition,[],[f3320,f3325]) ).
fof(f4017,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)
| c_emptyset = v_intY1 ),
inference(forward_subsumption_resolution,[],[f4016,f3329]) ).
fof(f4019,plain,
( ~ c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a)
| c_emptyset = v_intY1 ),
inference(forward_subsumption_resolution,[],[f4017,f3326]) ).
fof(f4020,plain,
c_emptyset = v_intY1,
inference(forward_subsumption_resolution,[],[f4019,f3318]) ).
fof(f4021,plain,
$false,
inference(forward_subsumption_resolution,[],[f4020,f3680]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT269-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n015.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 14:12:45 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.53/1.21 % (1705149)Input is clausal, will run a generic CNF schedule.
% 3.53/1.21 % (1705170)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1673311598:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.53/1.21 % (1705167)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1319239740:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.53/1.21 % (1705168)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2475531760:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.53/1.21 % (1705166)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=2715672798:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.53/1.21 % (1705173)dis-21_1_sil=8000:lcm=predicate:random_seed=2971792045: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)
% 3.53/1.21 % (1705171)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=682759637:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.53/1.21 % (1705169)lrs+10_1_sil=8000:sp=occurrence:random_seed=2357000592:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.53/1.21 % (1705169)First to succeed.
% 3.53/1.21 % (1705169)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1705149"
% 3.53/1.21 % (1705171)Also succeeded, but the first one will report.
% 3.53/1.21 % (1705173)Instruction limit reached!
% 3.53/1.21 % (1705173)------------------------------
% 3.53/1.21 % (1705173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.21 % (1705173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.21 % (1705173)CaDiCaL version: 2.1.3
% 3.53/1.21 % (1705173)Termination reason: Instruction limit
% 3.53/1.21 % (1705173)Termination phase: Saturation
% 3.53/1.21 % (1705173)Time elapsed: 0.067 s
% 3.53/1.21 % (1705173)Peak memory usage: 90 MB
% 3.53/1.21 % (1705173)Instructions burned: 118 (million)
% 3.53/1.21 % (1705170)Instruction limit reached!
% 3.53/1.21 % (1705170)------------------------------
% 3.53/1.21 % (1705170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.21 % (1705170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.21 % (1705170)CaDiCaL version: 2.1.3
% 3.53/1.21 % (1705170)Termination reason: Instruction limit
% 3.53/1.21 % (1705170)Termination phase: Saturation
% 3.53/1.21 % (1705170)Time elapsed: 0.070 s
% 3.53/1.21 % (1705170)Peak memory usage: 90 MB
% 3.53/1.21 % (1705170)Instructions burned: 115 (million)
% 3.53/1.21 % (1705233)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=38545056:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.53/1.21 % (1705231)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4212012376:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.53/1.21 % (1705231)Refutation not found, incomplete strategy
% 3.53/1.21 % (1705231)------------------------------
% 3.53/1.21 % (1705231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.21 % (1705231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.21 % (1705231)CaDiCaL version: 2.1.3
% 3.53/1.21 % (1705231)Termination reason: Refutation not found, incomplete strategy
% 3.53/1.21 % (1705231)Time elapsed: 0.007 s
% 3.53/1.21 % (1705231)Peak memory usage: 89 MB
% 3.53/1.21 % (1705231)Instructions burned: 9 (million)
% 3.53/1.21 % (1705169)Refutation found. Thanks to Tanya!
% 3.53/1.21 % SZS status Unsatisfiable for theBenchmark
% 3.53/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 3.53/1.21 % (1705169)------------------------------
% 3.53/1.21 % (1705169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.21 % (1705169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.21 % (1705169)CaDiCaL version: 2.1.3
% 3.53/1.21 % (1705169)Termination reason: Refutation
% 3.53/1.21 % (1705169)Time elapsed: 0.026 s
% 3.53/1.21 % (1705169)Peak memory usage: 90 MB
% 3.53/1.21 % (1705169)Instructions burned: 36 (million)
% 3.53/1.21 % (1705169)------------------------------
% 3.53/1.21 % (1705169)------------------------------
% 3.53/1.21 % (1705149)Success in time 0.479 s
% 3.53/1.21 % Vampire exiting
%------------------------------------------------------------------------------