%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI739_1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 09:35:10 AM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 12 ( 0 atm; 0 fun; 10 num; 2 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 2 ( 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
exp: $real > $real ).
tff(func_def_5,type,
log: $real > $real ).
tff(func_def_6,type,
log2: $real > $real ).
tff(func_def_9,type,
log10: $real > $real ).
tff(f5,axiom,
! [X0: $real] : ( log(exp(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',log_exp) ).
tff(f9,conjecture,
log(exp(1/1)) = 1/1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',log_e) ).
tff(f10,negated_conjecture,
( ( ~ log(exp(1/1)) ) = 1/1 ),
inference(negated_conjecture,[status(cth)],[f9]) ).
tff(f30,plain,
1/1 != log(exp(1/1)),
inference(flattening,[],[f10]) ).
tff(f38,plain,
! [X0: $real] : ( log(exp(X0)) = X0 ),
inference(cnf_transformation,[],[f5]) ).
tff(f42,plain,
1/1 != log(exp(1/1)),
inference(cnf_transformation,[],[f30]) ).
tff(f45,plain,
1/1 != 1/1,
inference(superposition,[],[f42,f38]) ).
tff(f46,plain,
$false,
inference(trivial_inequality_removal,[],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI739_1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n020.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 21:02:49 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.26 % (553204)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (553212)dis+10_1_sil=32000:sp=arity:random_seed=2234689442:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.26 % (553212) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-553204-553212"...
% 0.08/0.26 % (553212)...printing done.
% 0.08/0.26 % (553210)% WARNING: option uhcvi not known.
% 0.08/0.26 % (553209)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1579414985_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.26 % (553210)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3021336813:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26 % (553211)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1341839843:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.26 % (553213)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1709398536:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.26 % (553212)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Theorem for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26 % (553212)------------------------------
% 0.08/0.26 % (553212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (553212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (553212)CaDiCaL version: 2.1.3
% 0.08/0.26 % (553212)Termination reason: Refutation
% 0.08/0.26 % (553212)Time elapsed: 0.001 s
% 0.08/0.26 % (553212)Peak memory usage: 12 MB
% 0.08/0.26 % (553212)Instructions burned: 1 (million)
% 0.08/0.26 % (553204)Success in time 0.036 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------