%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL856-1 : 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 12:00:51 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-3 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f162,axiom,
! [X0] :
( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X0,tc_Lambda_OdB)
| ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IT__implies__termi_0) ).
fof(f194,axiom,
! [X2,X0,X1] :
( hBOOL(hAPP(c_InductTermi_OIT,X0))
| ~ c_Type_Otyping(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_type__implies__IT_0) ).
fof(f196,negated_conjecture,
c_Type_Otyping(v_e,v_t,v_T),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f197,negated_conjecture,
~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f320,plain,
! [X0] :
( ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X0,tc_Lambda_OdB)
| hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
inference(consistent_polarity_flipping,[],[f162]) ).
fof(f349,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
| c_Type_Otyping(X1,X0,X2) ),
inference(consistent_polarity_flipping,[],[f194]) ).
fof(f351,plain,
~ c_Type_Otyping(v_e,v_t,v_T),
inference(consistent_polarity_flipping,[],[f196]) ).
fof(f352,plain,
c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB),
inference(consistent_polarity_flipping,[],[f197]) ).
fof(f396,plain,
hBOOL(hAPP(c_InductTermi_OIT,v_t)),
inference(resolution,[],[f320,f352]) ).
fof(f405,plain,
! [X0,X1] : c_Type_Otyping(X0,v_t,X1),
inference(resolution,[],[f396,f349]) ).
fof(f406,plain,
$false,
inference(backward_subsumption_resolution,[],[f351,f405]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL856-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n019.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 17:02:27 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.18/0.46 % (3270034)Will run a generic schedule for satisfiability detection.
% 0.18/0.46 % (3270040)% WARNING: option uhcvi not known.
% 0.18/0.46 % (3270040)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=47394538:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.46 % (3270040) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3270034-3270040"...
% 0.18/0.46 % (3270040)...printing done.
% 0.18/0.46 % (3270040)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46 % (3270040)------------------------------
% 0.18/0.46 % (3270040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.46 % (3270040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.46 % (3270040)CaDiCaL version: 2.1.3
% 0.18/0.46 % (3270040)Termination reason: Refutation
% 0.18/0.46 % (3270040)Time elapsed: 0.005 s
% 0.18/0.46 % (3270040)Peak memory usage: 12 MB
% 0.18/0.46 % (3270040)Instructions burned: 11 (million)
% 0.18/0.46 % (3270034)Success in time 0.035 s
% 0.18/0.46 % Vampire exiting
%------------------------------------------------------------------------------