%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO293^5 : 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 08:49:41 AM UTC 2026
% Result : Theorem 0.07s 0.24s
% Output : Refutation 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO293^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n017.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 16:38:53 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 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
% 0.07/0.24 % (576378)Will run a generic schedule for satisfiability detection.
% 0.07/0.24 % (576385)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=985711257:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.24 % (576385) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-576378-576385"...
% 0.07/0.24 % (576385)...printing done.
% 0.07/0.24 % (576385)Refutation found. Thanks to Tanya!
% 0.07/0.24 % SZS status Theorem for theBenchmark
% 0.07/0.24 % SZS output start Proof for theBenchmark
% 0.07/0.24 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.07/0.24 thf(func_def_0, type, cP: ($i > $i > $o)).
% 0.07/0.24 thf(func_def_4, type, sK0: (($i > $o) > $i)).
% 0.07/0.24 thf(func_def_5, type, sK1: (($i > $o) > $i)).
% 0.07/0.24 thf(func_def_6, type, vNOT: ($o > $o)).
% 0.07/0.24 thf(func_def_7, type, db0: !>[X0: $tType]:(X0)).
% 0.07/0.24 thf(func_def_8, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.07/0.24 thf(f1,conjecture,(
% 0.07/0.24 ? [X0 : ($i > $o)] : ! [X1 : $i,X2 : $i] : (((X0 @ X2) & (X0 @ X1)) => (cP @ X1 @ X2))),
% 0.07/0.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBLEDSOE5A)).
% 0.07/0.24 thf(f2,negated_conjecture,(
% 0.07/0.24 ~ ? [X0 : ($i > $o)] : ! [X1 : $i,X2 : $i] : (((X0 @ X2) & (X0 @ X1)) => (cP @ X1 @ X2))),
% 0.07/0.24 inference(negated_conjecture,[status(cth)],[f1])).
% 0.07/0.24 thf(f3,plain,(
% 0.07/0.24 ~ ? [X0 : ($i > $o)] : ! [X1 : $i,X2 : $i] : (((X0 @ X2) & (X0 @ X1)) => (cP @ X1 @ X2))),
% 0.07/0.24 inference(rectify,[],[f2])).
% 0.07/0.24 thf(f4,plain,(
% 0.07/0.24 ~ ? [X0 : ($i > $o)] : ! [X1 : $i,X2 : $i] : (((((X0 @ X2)) = $true) & (((X0 @ X1)) = $true)) => (((cP @ X1 @ X2)) = $true))),
% 0.07/0.24 inference(fool_elimination,[],[f3])).
% 0.07/0.24 thf(f5,plain,(
% 0.07/0.24 ! [X0 : ($i > $o)] : ? [X1 : $i,X2 : $i] : ((((cP @ X1 @ X2)) != $true) & ((((X0 @ X2)) = $true) & (((X0 @ X1)) = $true)))),
% 0.07/0.24 inference(ennf_transformation,[],[f4])).
% 0.07/0.24 thf(f6,plain,(
% 0.07/0.24 ! [X0 : ($i > $o)] : ? [X1 : $i,X2 : $i] : ((((cP @ X1 @ X2)) != $true) & (((X0 @ X2)) = $true) & (((X0 @ X1)) = $true))),
% 0.07/0.24 inference(flattening,[],[f5])).
% 0.07/0.24 thf(f7,plain,(
% 0.07/0.24 ! [X0 : ($i > $o)] : (($true != ((cP @ (sK0 @ X0) @ (sK1 @ X0)))) & ($true = ((X0 @ (sK1 @ X0)))) & ($true = ((X0 @ (sK0 @ X0)))))),
% 0.07/0.24 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X2,sK1 @ X0),skolemize(X2,sK1 @ X0)],[f6])).
% 0.07/0.24 thf(f8,plain,(
% 0.07/0.24 ( ! [X0 : ($i > $o)] : (($true = ((X0 @ (sK0 @ X0))))) )),
% 0.07/0.24 inference(cnf_transformation,[],[f7])).
% 0.07/0.24 thf(f14,plain,(
% 0.07/0.24 ($true = (((^[Y0 : $i]: ($false)) @ (sK0 @ (^[Y0 : $i]: ($false))))))),
% 0.07/0.24 inference(primitive_instantiation,[],[f8])).
% 0.07/0.24 thf(f20,plain,(
% 0.07/0.24 ($true = $false)),
% 0.07/0.24 inference(beta-eta_normalization,[],[f14])).
% 0.07/0.24 thf(f21,plain,(
% 0.07/0.24 $false),
% 0.07/0.24 inference(trivial_inequality_removal,[],[f20])).
% 0.07/0.24 % SZS output end Proof for theBenchmark
% 0.07/0.24 % (576385)------------------------------
% 0.07/0.24 % (576385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.24 % (576385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.24 % (576385)CaDiCaL version: 2.1.3
% 0.07/0.24 % (576385)Termination reason: Refutation
% 0.07/0.24 % (576385)Time elapsed: 0.001 s
% 0.07/0.24 % (576385)Peak memory usage: 12 MB
% 0.07/0.24 % (576385)Instructions burned: 1 (million)
% 0.07/0.24 % (576378)Success in time 0.033 s
% 0.07/0.24 % Vampire exiting
%------------------------------------------------------------------------------