%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO281^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 08:49:39 AM UTC 2026
% Result : Theorem 0.24s 0.32s
% Output : Refutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO281^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 % Computer : n002.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Tue Sep 29 16:45:38 UTC 2026
% 0.09/0.24 % CPUTime :
% 0.09/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.29 Running first-order model finding
% 0.24/0.29 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
% 0.24/0.32 % (1533512)Will run a generic schedule for satisfiability detection.
% 0.24/0.32 % (1533520)dis+10_1_sil=32000:sp=arity:random_seed=262025998:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.24/0.32 % (1533520) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1533512-1533520"...
% 0.24/0.32 % (1533520)...printing done.
% 0.24/0.32 % (1533520)Refutation found. Thanks to Tanya!
% 0.24/0.32 % SZS status Theorem for theBenchmark
% 0.24/0.32 % SZS output start Proof for theBenchmark
% 0.24/0.32 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.24/0.32 thf(func_def_3, type, sK0: ($i > $o)).
% 0.24/0.32 thf(func_def_4, type, sK1: (($i > $o) > $i)).
% 0.24/0.32 thf(func_def_5, type, vNOT: ($o > $o)).
% 0.24/0.32 thf(func_def_6, type, db0: !>[X0: $tType]:(X0)).
% 0.24/0.32 thf(func_def_7, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.24/0.32 thf(f1,conjecture,(
% 0.24/0.32 ! [X0 : ($i > $o)] : ? [X1 : ($i > $o)] : ! [X2 : $i] : ((X0 @ X2) => (X1 @ X2))),
% 0.24/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTRIV3)).
% 0.24/0.32 thf(f2,negated_conjecture,(
% 0.24/0.32 ~ ! [X0 : ($i > $o)] : ? [X1 : ($i > $o)] : ! [X2 : $i] : ((X0 @ X2) => (X1 @ X2))),
% 0.24/0.32 inference(negated_conjecture,[status(cth)],[f1])).
% 0.24/0.32 thf(f3,plain,(
% 0.24/0.32 ~ ! [X0 : ($i > $o)] : ? [X1 : ($i > $o)] : ! [X2 : $i] : ((X0 @ X2) => (X1 @ X2))),
% 0.24/0.32 inference(rectify,[],[f2])).
% 0.24/0.32 thf(f4,plain,(
% 0.24/0.32 ~ ! [X0 : ($i > $o)] : ? [X1 : ($i > $o)] : ! [X2 : $i] : ((((X0 @ X2)) = $true) => (((X1 @ X2)) = $true))),
% 0.24/0.32 inference(fool_elimination,[],[f3])).
% 0.24/0.32 thf(f5,plain,(
% 0.24/0.32 ? [X0 : ($i > $o)] : ! [X1 : ($i > $o)] : ? [X2 : $i] : ((((X1 @ X2)) != $true) & (((X0 @ X2)) = $true))),
% 0.24/0.32 inference(ennf_transformation,[],[f4])).
% 0.24/0.32 thf(f6,plain,(
% 0.24/0.32 ! [X1 : ($i > $o)] : (($true != ((X1 @ (sK1 @ X1)))) & ($true = ((sK0 @ (sK1 @ X1)))))),
% 0.24/0.32 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,vAPP]),skolemize(X0,sK0),skolemize(X2,sK1 @ X1)],[f5])).
% 0.24/0.32 thf(f8,plain,(
% 0.24/0.32 ( ! [X1 : ($i > $o)] : (($true != ((X1 @ (sK1 @ X1))))) )),
% 0.24/0.32 inference(cnf_transformation,[],[f6])).
% 0.24/0.32 thf(f16,plain,(
% 0.24/0.32 $false),
% 0.24/0.32 inference(equality_resolution,[],[f8])).
% 0.24/0.32 % SZS output end Proof for theBenchmark
% 0.24/0.32 % (1533520)------------------------------
% 0.24/0.32 % (1533520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.32 % (1533520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.32 % (1533520)CaDiCaL version: 2.1.3
% 0.24/0.32 % (1533520)Termination reason: Refutation
% 0.24/0.32 % (1533520)Time elapsed: 0.002 s
% 0.24/0.32 % (1533520)Peak memory usage: 12 MB
% 0.24/0.32 % (1533520)Instructions burned: 1 (million)
% 0.24/0.32 % (1533512)Success in time 0.024 s
% 0.24/0.33 % Vampire exiting
%------------------------------------------------------------------------------