%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL773-1 : 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 : n009.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 12:00:32 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.56s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 4 unt; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1281,axiom,
! [X2,X0,X1] :
( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
| ~ c_InductTermi_OIT(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__Var__IT_0) ).
fof(f1287,negated_conjecture,
c_InductTermi_OIT(v_r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1289,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Osubst(v_r,c_Lambda_OdB_OVar(v_i),c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1367,plain,
~ c_InductTermi_OIT(v_r),
inference(resolution,[],[f1281,f1289]) ).
fof(f1370,plain,
$false,
inference(forward_subsumption_resolution,[],[f1367,f1287]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL773-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.43 % Computer : n009.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 27 16:46:30 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.48 Running first-order model finding
% 0.24/0.48 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
% 0.24/0.56 % (2242522)Will run a generic schedule for satisfiability detection.
% 0.24/0.56 % (2242531)dis+10_1_sil=32000:sp=arity:random_seed=4227697685:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.24/0.56 % (2242530)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2614776650:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/0.56 % (2242531) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2242522-2242531"...
% 0.24/0.56 % (2242529)% WARNING: option uhcvi not known.
% 0.24/0.56 % (2242531)...printing done.
% 0.24/0.56 % (2242531)Refutation found. Thanks to Tanya!
% 0.24/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.56 % (2242531)------------------------------
% 0.24/0.56 % (2242531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.56 % (2242531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.56 % (2242531)CaDiCaL version: 2.1.3
% 0.24/0.56 % (2242531)Termination reason: Refutation
% 0.24/0.56 % (2242531)Time elapsed: 0.010 s
% 0.24/0.56 % (2242531)Peak memory usage: 13 MB
% 0.24/0.56 % (2242531)Instructions burned: 20 (million)
% 0.24/0.56 % (2242522)Success in time 0.068 s
% 0.24/0.56 % Vampire exiting
%------------------------------------------------------------------------------