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Vampire-SAT---5.0.1.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NUN021^1 : TPTP v9.3.1. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n010.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 : Wed Sep 30 08:20:01 AM UTC 2026

% Result   : Satisfiable 0.21s 0.28s
% Output   : Saturation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUN021^1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19  % Computer : n010.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Tue Sep 29 13:06:18 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23  Running first-order model finding
% 0.09/0.23  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
% 0.21/0.28  % (2818153)Will run a generic schedule for satisfiability detection.
% 0.21/0.28  % (2818159)% WARNING: option uhcvi not known.
% 0.21/0.28  % (2818159)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2880895868:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.28  % (2818159)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.21/0.28  % (2818159)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.21/0.28  % (2818159)Refutation not found, incomplete strategy
% 0.21/0.28  % (2818159)------------------------------
% 0.21/0.28  % (2818159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28  % (2818159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28  % (2818159)CaDiCaL version: 2.1.3
% 0.21/0.28  % (2818159)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.28  % (2818159)Time elapsed: 0.001 s
% 0.21/0.28  % (2818159)Peak memory usage: 11 MB
% 0.21/0.28  % (2818159)Instructions burned: 2 (million)
% 0.21/0.28  % (2818159)------------------------------
% 0.21/0.28  % (2818159)------------------------------
% 0.21/0.28  % (2818158)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1932286298_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.28  % (2818163)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=521966072:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.28  % (2818160)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1119395239:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.28  % (2818161)dis+10_1_sil=32000:sp=arity:random_seed=1666105149:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.28  % (2818162)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1904246072:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.28  % (2818164)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3137596875:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.28  % (2818158) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2818153-2818158"...
% 0.21/0.28  % (2818162)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.21/0.28  % (2818163)Refutation not found, incomplete strategy
% 0.21/0.28  % (2818163)------------------------------
% 0.21/0.28  % (2818163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28  % (2818163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28  % (2818163)CaDiCaL version: 2.1.3
% 0.21/0.28  % (2818163)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.28  % (2818163)Time elapsed: 0.001 s
% 0.21/0.28  % (2818163)Peak memory usage: 11 MB
% 0.21/0.28  % (2818163)Instructions burned: 2 (million)
% 0.21/0.28  % (2818161)Refutation not found, incomplete strategy
% 0.21/0.28  % (2818161)------------------------------
% 0.21/0.28  % (2818161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28  % (2818161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28  % (2818161)CaDiCaL version: 2.1.3
% 0.21/0.28  % (2818161)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.28  % (2818161)Time elapsed: 0.001 s
% 0.21/0.28  % (2818161)Peak memory usage: 11 MB
% 0.21/0.28  % (2818161)Instructions burned: 2 (million)
% 0.21/0.28  % (2818160)Refutation not found, incomplete strategy
% 0.21/0.28  % (2818160)------------------------------
% 0.21/0.28  % (2818160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28  % (2818160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28  % (2818162) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2818153-2818162"...
% 0.21/0.28  % (2818160)CaDiCaL version: 2.1.3
% 0.21/0.28  % (2818160)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.28  % (2818160)Time elapsed: 0.001 s
% 0.21/0.28  % (2818160)Peak memory usage: 11 MB
% 0.21/0.28  % (2818160)Instructions burned: 2 (million)
% 0.21/0.28  % (2818164)Refutation not found, incomplete strategy
% 0.21/0.28  % (2818164)------------------------------
% 0.21/0.28  % (2818164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28  % (2818164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28  % (2818158)...printing done.
% 0.21/0.28  % (2818164)CaDiCaL version: 2.1.3
% 0.21/0.28  % (2818164)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.28  % (2818164)Time elapsed: 0.001 s
% 0.21/0.28  % (2818164)Peak memory usage: 11 MB
% 0.21/0.28  % (2818164)Instructions burned: 2 (million)
% 0.21/0.28  % (2818163)------------------------------
% 0.21/0.28  % (2818163)------------------------------
% 0.21/0.28  % (2818161)------------------------------
% 0.21/0.28  % (2818161)------------------------------
% 0.21/0.28  % (2818160)------------------------------
% 0.21/0.28  % (2818160)------------------------------
% 0.21/0.28  % (2818164)------------------------------
% 0.21/0.28  % (2818164)------------------------------
% 0.21/0.28  % (2818162)...printing done.
% 0.21/0.28  % SZS status Satisfiable for theBenchmark
% 0.21/0.28  % SZS output start Saturation.
% 0.21/0.28  % SZS output end Saturation.
% 0.21/0.28  % SZS output start Definitions and Model Updates.
% 0.21/0.28  for all inputs,
% 0.21/0.28      define mult := (^[Y0 : ($i > $i) > $i > $i]: ((^[Y1 : ($i > $i) > $i > $i]: ((^[Y2 : $i > $i]: ((^[Y3 : $i]: (Y0 @ (Y1 @ Y2) @ Y3))))))))
% 0.21/0.28  for all inputs,
% 0.21/0.28      define plus := (^[Y0 : ($i > $i) > $i > $i]: ((^[Y1 : ($i > $i) > $i > $i]: ((^[Y2 : $i > $i]: ((^[Y3 : $i]: (Y0 @ Y2 @ (Y1 @ Y2 @ Y3)))))))))
% 0.21/0.28  for all inputs,
% 0.21/0.28      define succ := (^[Y0 : ($i > $i) > $i > $i]: ((^[Y1 : $i > $i]: ((^[Y2 : $i]: (Y1 @ (Y0 @ Y1 @ Y2)))))))
% 0.21/0.28  for all inputs,
% 0.21/0.28      define ten := (^[Y0 : $i > $i]: ((^[Y1 : $i]: (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ Y1)))))))))))))
% 0.21/0.28  for all inputs,
% 0.21/0.28      define nine := (^[Y0 : $i > $i]: ((^[Y1 : $i]: (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ Y1))))))))))))
% 0.21/0.28  for all inputs,
% 0.21/0.28      define eight := (^[Y0 : $i > $i]: ((^[Y1 : $i]: (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ Y1)))))))))))
% 0.21/0.28  for all inputs,
% 0.21/0.28      define seven := (^[Y0 : $i > $i]: ((^[Y1 : $i]: (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ Y1))))))))))
% 0.21/0.28  for all inputs,
% 0.21/0.28      define six := (^[Y0 : $i > $i]: ((^[Y1 : $i]: (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ Y1)))))))))
% 0.21/0.28  for all inputs,
% 0.21/0.28      define five := (^[Y0 : $i > $i]: ((^[Y1 : $i]: (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ Y1))))))))
% 0.21/0.28  for all inputs,
% 0.21/0.28      define four := (^[Y0 : $i > $i]: ((^[Y1 : $i]: (Y0 @ (Y0 @ (Y0 @ (Y0 @ Y1)))))))
% 0.21/0.28  for all inputs,
% 0.21/0.28      define three := (^[Y0 : $i > $i]: ((^[Y1 : $i]: (Y0 @ (Y0 @ (Y0 @ Y1))))))
% 0.21/0.28  for all inputs,
% 0.21/0.28      define two := (^[Y0 : $i > $i]: ((^[Y1 : $i]: (Y0 @ (Y0 @ Y1)))))
% 0.21/0.28  for all inputs,
% 0.21/0.28      define one := (^[Y0 : $i > $i]: ((^[Y1 : $i]: (Y0 @ Y1))))
% 0.21/0.28  for all inputs,
% 0.21/0.28      define zero := (^[Y0 : $i > $i]: ((^[Y1 : $i]: (Y1))))
% 0.21/0.28  % SZS output end Definitions and Model Updates.
% 0.21/0.28  % (2818158)------------------------------
% 0.21/0.28  % (2818158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28  % (2818158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28  % (2818158)CaDiCaL version: 2.1.3
% 0.21/0.28  % (2818158)Termination reason: Satisfiable
% 0.21/0.28  % (2818158)Time elapsed: 0.001 s
% 0.21/0.28  % (2818158)Peak memory usage: 10 MB
% 0.21/0.28  % (2818158)Instructions burned: 2 (million)
% 0.21/0.28  % (2818153)Success in time 0.038 s
% 0.21/0.28  % Vampire exiting
%------------------------------------------------------------------------------