%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT278-2 : 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 11:46:29 AM UTC 2026
% Result : Unsatisfiable 2.62s 1.38s
% Output : Refutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 7 unt; 0 def)
% Number of atoms : 11 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ c_Relation_Orefl(v_A,v_r,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
fof(f3,axiom,
! [X0,X1] :
( c_Relation_Orefl(c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
| ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_0) ).
fof(f4,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).
fof(f5,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
fof(f7,plain,
( c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),v_r,t_a)
| ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
inference(superposition,[],[f3,f5]) ).
fof(f8,plain,
c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),v_r,t_a),
inference(forward_subsumption_resolution,[],[f7,f4]) ).
fof(f10,plain,
c_Relation_Orefl(v_A,v_r,t_a),
inference(forward_demodulation,[],[f8,f2]) ).
fof(f12,plain,
$false,
inference(forward_subsumption_resolution,[],[f10,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT278-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 % Computer : n015.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sun Sep 27 14:13:31 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 2.62/1.38 % (1707671)Input is clausal, will run a generic CNF schedule.
% 2.62/1.38 % (1707698)lrs+10_1_sil=8000:sp=occurrence:random_seed=914566158:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.62/1.38 % (1707698)First to succeed.
% 2.62/1.38 % (1707698)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1707671"
% 2.62/1.38 % (1707701)dis-21_1_sil=8000:lcm=predicate:random_seed=3624831353: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)
% 2.62/1.38 % (1707695)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=1226102897:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.62/1.38 % (1707696)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1042187625:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.62/1.38 % (1707700)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1374768514:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.62/1.38 % (1707697)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1990833710:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.62/1.38 % (1707701)Refutation not found, incomplete strategy
% 2.62/1.38 % (1707701)------------------------------
% 2.62/1.38 % (1707701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.38 % (1707701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.38 % (1707701)CaDiCaL version: 2.1.3
% 2.62/1.38 % (1707701)Termination reason: Refutation not found, incomplete strategy
% 2.62/1.38 % (1707701)Time elapsed: 0.001 s
% 2.62/1.38 % (1707701)Peak memory usage: 87 MB
% 2.62/1.38 % (1707700)Also succeeded, but the first one will report.
% 2.62/1.38 % (1707699)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=927905236:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.62/1.38 % (1707699)Also succeeded, but the first one will report.
% 2.62/1.38 % (1707698)Refutation found. Thanks to Tanya!
% 2.62/1.38 % SZS status Unsatisfiable for theBenchmark
% 2.62/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 2.62/1.38 % (1707698)------------------------------
% 2.62/1.38 % (1707698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.38 % (1707698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.38 % (1707698)CaDiCaL version: 2.1.3
% 2.62/1.38 % (1707698)Termination reason: Refutation
% 2.62/1.38 % (1707698)Time elapsed: 0.001 s
% 2.62/1.38 % (1707698)Peak memory usage: 88 MB
% 2.62/1.38 % (1707698)------------------------------
% 2.62/1.38 % (1707698)------------------------------
% 2.62/1.38 % (1707671)Success in time 0.292 s
% 2.62/1.38 % Vampire exiting
%------------------------------------------------------------------------------