%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL798-1 : 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 : n019.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 12:00:38 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-4 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f81,axiom,
c_InductTermi_OIT(v_u____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_uIT_0) ).
fof(f84,axiom,
! [X2,X3,X0,X1] :
( ~ c_Type_Otyping(c_Type_Oshift(X2,X1,v_T____,tc_Type_Otype),v_a____,X3)
| ~ c_Type_Otyping(X2,X0,v_T____)
| ~ c_InductTermi_OIT(X0)
| c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f85,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f87,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).
fof(f88,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f331,plain,
! [X0] :
( c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X0,v_i____))
| ~ c_InductTermi_OIT(X0)
| ~ c_Type_Otyping(v_e____,X0,v_T____) ),
inference(resolution,[],[f84,f87]) ).
fof(f362,plain,
( ~ c_InductTermi_OIT(v_u____)
| ~ c_Type_Otyping(v_e____,v_u____,v_T____) ),
inference(resolution,[],[f331,f88]) ).
fof(f363,plain,
~ c_Type_Otyping(v_e____,v_u____,v_T____),
inference(forward_subsumption_resolution,[],[f362,f81]) ).
fof(f364,plain,
$false,
inference(forward_subsumption_resolution,[],[f363,f85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL798-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.37 % Computer : n019.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sun Sep 27 16:51:19 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.45 % (3259793)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (3259801)dis+10_1_sil=32000:sp=arity:random_seed=3149784099:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.45 % (3259799)% WARNING: option uhcvi not known.
% 0.12/0.45 % (3259801) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3259793-3259801"...
% 0.12/0.45 % (3259798)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=254145026_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.45 % (3259801)...printing done.
% 0.12/0.45 % (3259804)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2140106597:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.45 % (3259799)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1246204243:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.45 % (3259800)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3601899398:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.45 % (3259802)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3298574727:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.45 % (3259801)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.45 % (3259801)------------------------------
% 0.12/0.45 % (3259801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45 % (3259801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45 % (3259801)CaDiCaL version: 2.1.3
% 0.12/0.45 % (3259801)Termination reason: Refutation
% 0.12/0.45 % (3259801)Time elapsed: 0.006 s
% 0.12/0.45 % (3259801)Peak memory usage: 11 MB
% 0.12/0.45 % (3259801)Instructions burned: 14 (million)
% 0.12/0.45 % (3259793)Success in time 0.036 s
% 0.12/0.45 % Vampire exiting
%------------------------------------------------------------------------------