%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL851-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 12:00:50 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.53s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1083,axiom,
! [X2,X3,X0,X1,X4] :
( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)
| ~ c_Type_Otyping(X0,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lift__type_0) ).
fof(f1087,axiom,
c_Type_Otyping(v_ea____,v_ta____,v_Ta____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_App_I3_J_0) ).
fof(f1088,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1425,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)
| c_Type_Otyping(X0,X3,X4) ),
inference(consistent_polarity_flipping,[],[f1083]) ).
fof(f1426,plain,
~ c_Type_Otyping(v_ea____,v_ta____,v_Ta____),
inference(consistent_polarity_flipping,[],[f1087]) ).
fof(f1427,plain,
c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____),
inference(consistent_polarity_flipping,[],[f1088]) ).
fof(f5361,plain,
c_Type_Otyping(v_ea____,v_ta____,v_Ta____),
inference(resolution,[],[f1425,f1427]) ).
fof(f5390,plain,
$false,
inference(forward_subsumption_resolution,[],[f5361,f1426]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL851-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 17:06:31 UTC 2026
% 0.14/0.37 % CPUTime :
% 0.14/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.39 Running first-order model finding
% 0.14/0.39 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
% 0.17/0.53 % (3799772)Will run a generic schedule for satisfiability detection.
% 0.17/0.53 % (3799779)% WARNING: option uhcvi not known.
% 0.17/0.53 % (3799779)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3391267999:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.53 % (3799778)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4238594988_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.53 % (3799780)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2083958947:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.53 % (3799781)dis+10_1_sil=32000:sp=arity:random_seed=2333328288:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.53 % (3799782)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=240162835:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.53 % (3799784)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2692673507:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.53 % (3799783)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4063851097:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.53 % (3799779) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3799772-3799779"...
% 0.17/0.53 % (3799779)...printing done.
% 0.17/0.53 % (3799779)Refutation found. Thanks to Tanya!
% 0.17/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.53 % (3799779)------------------------------
% 0.17/0.53 % (3799779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.53 % (3799779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.53 % (3799779)CaDiCaL version: 2.1.3
% 0.17/0.53 % (3799779)Termination reason: Refutation
% 0.17/0.53 % (3799779)Time elapsed: 0.068 s
% 0.17/0.53 % (3799779)Peak memory usage: 14 MB
% 0.17/0.53 % (3799779)Instructions burned: 194 (million)
% 0.17/0.53 % (3799772)Success in time 0.127 s
% 0.17/0.53 % Vampire exiting
%------------------------------------------------------------------------------