%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO258^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 08:49:37 AM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO258^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n017.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 : Tue Sep 29 16:37:07 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.22 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
% 0.08/0.26 % (571340)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (571347)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3044709016:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.26 % (571347) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-571340-571347"...
% 0.08/0.26 % (571346)% WARNING: option uhcvi not known.
% 0.08/0.26 % (571347)...printing done.
% 0.08/0.26 % (571347)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Theorem for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% 0.08/0.26 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.08/0.26 thf(func_def_1, type, cQ: ($i > ($i > $o) > $o)).
% 0.08/0.26 thf(func_def_2, type, cP: ($i > $i > $o)).
% 0.08/0.26 thf(func_def_7, type, sK0: (($i > $o) > $i)).
% 0.08/0.26 thf(func_def_8, type, vNOT: ($o > $o)).
% 0.08/0.26 thf(func_def_10, type, db0: !>[X0: $tType]:(X0)).
% 0.08/0.26 thf(func_def_11, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.08/0.26 thf(f1,conjecture,(
% 0.08/0.26 (! [X0 : ($i > $o)] : (cQ @ b @ X0) & (cP @ a @ b)) => ? [X1 : ($i > $o)] : ! [X2 : $i] : ((X1 @ X2) => ((X1 @ a) & ? [X3 : $i] : ((cQ @ X3 @ X1) & (cP @ X2 @ X3))))),
% 0.08/0.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBLEDSOE_FENG_6)).
% 0.08/0.26 thf(f2,negated_conjecture,(
% 0.08/0.26 ~((! [X0 : ($i > $o)] : (cQ @ b @ X0) & (cP @ a @ b)) => ? [X1 : ($i > $o)] : ! [X2 : $i] : ((X1 @ X2) => ((X1 @ a) & ? [X3 : $i] : ((cQ @ X3 @ X1) & (cP @ X2 @ X3)))))),
% 0.08/0.26 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.26 thf(f3,plain,(
% 0.08/0.26 ~((! [X0 : ($i > $o)] : (cQ @ b @ X0) & (cP @ a @ b)) => ? [X1 : ($i > $o)] : ! [X2 : $i] : ((X1 @ X2) => ((X1 @ a) & ? [X3 : $i] : ((cQ @ X3 @ X1) & (cP @ X2 @ X3)))))),
% 0.08/0.26 inference(rectify,[],[f2])).
% 0.08/0.26 thf(f4,plain,(
% 0.08/0.26 ~((! [X0 : ($i > $o)] : (((cQ @ b @ X0)) = $true) & (((cP @ a @ b)) = $true)) => ? [X1 : ($i > $o)] : ! [X2 : $i] : ((((X1 @ X2)) = $true) => ((((X1 @ a)) = $true) & ? [X3 : $i] : ((((cQ @ X3 @ X1)) = $true) & (((cP @ X2 @ X3)) = $true)))))),
% 0.08/0.26 inference(fool_elimination,[],[f3])).
% 0.08/0.26 thf(f5,plain,(
% 0.08/0.26 ! [X1 : ($i > $o)] : ? [X2 : $i] : (((((X1 @ a)) != $true) | ! [X3 : $i] : ((((cQ @ X3 @ X1)) != $true) | (((cP @ X2 @ X3)) != $true))) & (((X1 @ X2)) = $true)) & (! [X0 : ($i > $o)] : (((cQ @ b @ X0)) = $true) & (((cP @ a @ b)) = $true))),
% 0.08/0.26 inference(ennf_transformation,[],[f4])).
% 0.08/0.26 thf(f6,plain,(
% 0.08/0.26 ! [X1 : ($i > $o)] : ? [X2 : $i] : (((((X1 @ a)) != $true) | ! [X3 : $i] : ((((cQ @ X3 @ X1)) != $true) | (((cP @ X2 @ X3)) != $true))) & (((X1 @ X2)) = $true)) & ! [X0 : ($i > $o)] : (((cQ @ b @ X0)) = $true) & (((cP @ a @ b)) = $true)),
% 0.08/0.26 inference(flattening,[],[f5])).
% 0.08/0.26 thf(f7,plain,(
% 0.08/0.26 ! [X0 : ($i > $o)] : ? [X1 : $i] : ((($true != ((X0 @ a))) | ! [X2 : $i] : (($true != ((cQ @ X2 @ X0))) | ($true != ((cP @ X1 @ X2))))) & ($true = ((X0 @ X1)))) & ! [X3 : ($i > $o)] : ($true = ((cQ @ b @ X3))) & (((cP @ a @ b)) = $true)),
% 0.08/0.26 inference(rectify,[],[f6])).
% 0.08/0.26 thf(f8,plain,(
% 0.08/0.26 ! [X0 : ($i > $o)] : ((($true != ((X0 @ a))) | ! [X2 : $i] : (($true != ((cQ @ X2 @ X0))) | ($true != ((cP @ (sK0 @ X0) @ X2))))) & ($true = ((X0 @ (sK0 @ X0))))) & ! [X3 : ($i > $o)] : ($true = ((cQ @ b @ X3))) & (((cP @ a @ b)) = $true)),
% 0.08/0.26 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f7])).
% 0.08/0.26 thf(f11,plain,(
% 0.08/0.26 ( ! [X0 : ($i > $o)] : (($true = ((X0 @ (sK0 @ X0))))) )),
% 0.08/0.26 inference(cnf_transformation,[],[f8])).
% 0.08/0.26 thf(f38,plain,(
% 0.08/0.26 ($true = (((^[Y0 : $i]: ($false)) @ (sK0 @ (^[Y0 : $i]: ($false))))))),
% 0.08/0.26 inference(primitive_instantiation,[],[f11])).
% 0.08/0.26 thf(f56,plain,(
% 0.08/0.26 ($true = $false)),
% 0.08/0.26 inference(beta-eta_normalization,[],[f38])).
% 0.08/0.26 thf(f57,plain,(
% 0.08/0.26 $false),
% 0.08/0.26 inference(trivial_inequality_removal,[],[f56])).
% 0.08/0.26 % SZS output end Proof for theBenchmark
% 0.08/0.26 % (571347)------------------------------
% 0.08/0.26 % (571347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (571347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (571347)CaDiCaL version: 2.1.3
% 0.08/0.26 % (571347)Termination reason: Refutation
% 0.08/0.26 % (571347)Time elapsed: 0.002 s
% 0.08/0.26 % (571347)Peak memory usage: 12 MB
% 0.08/0.26 % (571347)Instructions burned: 3 (million)
% 0.08/0.26 % (571340)Success in time 0.033 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------