%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL806-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 12:00:40 PM UTC 2026
% Result : Unsatisfiable 0.68s 0.58s
% Output : Refutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f425,axiom,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),X0),X1)))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X2),X0),v_T____))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X2),X1),v_T____)),v_b____),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons_I1_J_0) ).
fof(f460,negated_conjecture,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_b____),v_xa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f461,negated_conjecture,
hBOOL(hAPP(c_InductTermi_OIT,v_xb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f462,negated_conjecture,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f463,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_xb),v_xc))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f658,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),X0),X1)))
| hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X2),X0),v_T____))
| hBOOL(hAPP(c_InductTermi_OIT,X0))
| hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X2),X1),v_T____)),v_b____),X3)) ),
inference(consistent_polarity_flipping,[],[f425]) ).
fof(f682,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_b____),v_xa)),
inference(consistent_polarity_flipping,[],[f460]) ).
fof(f683,plain,
~ hBOOL(hAPP(c_InductTermi_OIT,v_xb)),
inference(consistent_polarity_flipping,[],[f461]) ).
fof(f684,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____)),
inference(consistent_polarity_flipping,[],[f462]) ).
fof(f685,plain,
hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_xb),v_xc))),
inference(consistent_polarity_flipping,[],[f463]) ).
fof(f4623,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),v_xb),v_T____))
| hBOOL(hAPP(c_InductTermi_OIT,v_xb))
| hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),v_xc),v_T____)),v_b____),X1)) ),
inference(resolution,[],[f658,f685]) ).
fof(f4624,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),v_xc),v_T____)),v_b____),X1))
| hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),v_xb),v_T____)) ),
inference(forward_subsumption_resolution,[],[f4623,f683]) ).
fof(f4631,plain,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____)),
inference(resolution,[],[f4624,f682]) ).
fof(f4633,plain,
$false,
inference(forward_subsumption_resolution,[],[f4631,f684]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL806-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.39 % Computer : n005.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 16:53:02 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.43 Running first-order model finding
% 0.14/0.43 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
% 0.68/0.58 % (13835)Will run a generic schedule for satisfiability detection.
% 0.68/0.58 % (13848)% WARNING: option uhcvi not known.
% 0.68/0.58 % (13848)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1334547272:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.68/0.58 % (13847)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=921822579_2999 on theBenchmark for (2999ds/0Mi)
% 0.68/0.58 % (13849)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=104181888:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.68/0.58 % (13851)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3871653334:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.68/0.58 % (13850)dis+10_1_sil=32000:sp=arity:random_seed=2398022958:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.68/0.58 % (13852)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3688058237:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.68/0.58 % (13853)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2892186526:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.68/0.58 % (13850)Instruction limit reached!
% 0.68/0.58 % (13850)------------------------------
% 0.68/0.58 % (13850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.58 % (13850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.58 % (13850)CaDiCaL version: 2.1.3
% 0.68/0.58 % (13850)Termination reason: Instruction limit
% 0.68/0.58 % (13850)Termination phase: Saturation
% 0.68/0.58 % (13850)Time elapsed: 0.062 s
% 0.68/0.58 % (13850)Peak memory usage: 12 MB
% 0.68/0.58 % (13850)Instructions burned: 104 (million)
% 0.68/0.58 % (13851)Instruction limit reached!
% 0.68/0.58 % (13851)------------------------------
% 0.68/0.58 % (13851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.58 % (13851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.58 % (13851)CaDiCaL version: 2.1.3
% 0.68/0.58 % (13851)Termination reason: Instruction limit
% 0.68/0.58 % (13851)Termination phase: Saturation
% 0.68/0.58 % (13851)Time elapsed: 0.069 s
% 0.68/0.58 % (13851)Peak memory usage: 13 MB
% 0.68/0.58 % (13851)Instructions burned: 117 (million)
% 0.68/0.58 % (13882)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2574781437:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.68/0.58 % (13852)Instruction limit reached!
% 0.68/0.58 % (13852)------------------------------
% 0.68/0.58 % (13852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.58 % (13852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.58 % (13852)CaDiCaL version: 2.1.3
% 0.68/0.58 % (13852)Termination reason: Instruction limit
% 0.68/0.58 % (13852)Termination phase: Saturation
% 0.68/0.58 % (13852)Time elapsed: 0.085 s
% 0.68/0.58 % (13852)Peak memory usage: 13 MB
% 0.68/0.58 % (13852)Instructions burned: 132 (million)
% 0.68/0.58 % (13848) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-13835-13848"...
% 0.68/0.58 % (13885)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=375339975:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.68/0.58 % (13848)...printing done.
% 0.68/0.58 % (13848)Refutation found. Thanks to Tanya!
% 0.68/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.68/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.68/0.58 % (13848)------------------------------
% 0.68/0.58 % (13848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.58 % (13848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.58 % (13848)CaDiCaL version: 2.1.3
% 0.68/0.58 % (13848)Termination reason: Refutation
% 0.68/0.58 % (13848)Time elapsed: 0.096 s
% 0.68/0.58 % (13848)Peak memory usage: 14 MB
% 0.68/0.58 % (13848)Instructions burned: 300 (million)
% 0.68/0.58 % (13835)Success in time 0.139 s
% 0.68/0.58 % Vampire exiting
%------------------------------------------------------------------------------