%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL799-1 : 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 : n018.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 0.15s 0.49s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 14 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f318,axiom,
v_n____ = v_i____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_True_0) ).
fof(f319,plain,
v_i____ = v_n____,
inference(reorient_equations,[],[f318]) ).
fof(f325,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
| ~ c_Type_Otyping(X0,X1,X2)
| c_Type_Otyping(X0,c_Lambda_Osubst(X4,X1,X3),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__lemma_0) ).
fof(f326,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f327,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/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f328,negated_conjecture,
~ c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f356,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
inference(definition_unfolding,[],[f327,f319]) ).
fof(f357,plain,
~ c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_n____),v_T_H_H____),
inference(definition_unfolding,[],[f328,f319]) ).
fof(f1164,plain,
! [X0] :
( ~ c_Type_Otyping(v_e____,X0,v_T____)
| c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,X0,v_n____),v_T_H_H____) ),
inference(resolution,[],[f325,f356]) ).
fof(f1954,plain,
c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_n____),v_T_H_H____),
inference(resolution,[],[f1164,f326]) ).
fof(f1955,plain,
$false,
inference(forward_subsumption_resolution,[],[f1954,f357]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL799-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 16:54:39 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.15/0.49 % (2587673)Will run a generic schedule for satisfiability detection.
% 0.15/0.49 % (2587704)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1239171321:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.49 % (2587700)% WARNING: option uhcvi not known.
% 0.15/0.49 % (2587699)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2520334321_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.49 % (2587700)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2372983115:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.49 % (2587701)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2117298311:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.49 % (2587702)dis+10_1_sil=32000:sp=arity:random_seed=1846882235:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.49 % (2587703)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2650129250:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.49 % (2587705)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1543085074:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.49 % (2587700) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2587673-2587700"...
% 0.15/0.49 % (2587704) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2587673-2587704"...
% 0.15/0.49 % (2587704)...printing done.
% 0.15/0.49 % (2587700)...printing done.
% 0.15/0.49 % (2587704)Refutation found. Thanks to Tanya!
% 0.15/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.50 % (2587704)------------------------------
% 0.15/0.50 % (2587704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.50 % (2587704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.50 % (2587704)CaDiCaL version: 2.1.3
% 0.15/0.50 % (2587704)Termination reason: Refutation
% 0.15/0.50 % (2587704)Time elapsed: 0.038 s
% 0.15/0.50 % (2587704)Peak memory usage: 13 MB
% 0.15/0.50 % (2587704)Instructions burned: 107 (million)
% 0.15/0.50 % (2587673)Success in time 0.085 s
% 0.15/0.50 % Vampire exiting
%------------------------------------------------------------------------------