%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN987^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 08:41:45 AM UTC 2026
% Result : Unsatisfiable 0.25s 0.33s
% Output : Refutation 0.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN987^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n015.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Sep 29 16:23:03 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.27 Running higher-order theorem proving
% 0.25/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/0.33 % (3727604)Detected formulas, will run a generic FOF schedule.
% 0.25/0.33 % (3727610)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=1202441817:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_2999 on theBenchmark for (2999ds/261632Mi)
% 0.25/0.33 % (3727610) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3727604-3727610"...
% 0.25/0.33 % (3727610)...printing done.
% 0.25/0.33 % (3727610)Refutation found. Thanks to Tanya!
% 0.25/0.33 % SZS status Unsatisfiable for theBenchmark
% 0.25/0.33 % SZS output start Proof for theBenchmark
% 0.25/0.33 tff(pred_def_1, type, sP0: $o > $o).
% 0.25/0.33 tff(f1,axiom,(
% 0.25/0.33 ! [X0 : $o] : X0),
% 0.25/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)).
% 0.25/0.33 tff(f2,plain,(
% 0.25/0.33 ! [X0 : $o] : X0),
% 0.25/0.33 inference(rectify,[],[f1])).
% 0.25/0.33 tff(f3,plain,(
% 0.25/0.33 ! [X0 : $o] : ($true = X0)),
% 0.25/0.33 inference(fool_elimination,[],[f2])).
% 0.25/0.33 tff(f4,plain,(
% 0.25/0.33 ( ! [X0 : $o] : (($true = X0)) )),
% 0.25/0.33 inference(cnf_transformation,[],[f3])).
% 0.25/0.33 tff(f5,definition,(
% 0.25/0.33 ($true != $false)),
% 0.25/0.33 introduced(theory,[fool_distinctness_axiom])).
% 0.25/0.33 tff(f7,definition,(
% 0.25/0.33 ~sP0($true)),
% 0.25/0.33 introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction])).
% 0.25/0.33 tff(f8,plain,(
% 0.25/0.33 sP0($false)),
% 0.25/0.33 inference(inequality_splitting,[],[f5,f7])).
% 0.25/0.33 tff(f10,plain,(
% 0.25/0.33 ( ! [X0 : $o] : (~sP0(X0)) )),
% 0.25/0.33 inference(superposition,[],[f7,f4])).
% 0.25/0.33 tff(f11,plain,(
% 0.25/0.33 $false),
% 0.25/0.33 inference(resolution,[],[f10,f8])).
% 0.25/0.33 % SZS output end Proof for theBenchmark
% 0.25/0.33 % (3727610)------------------------------
% 0.25/0.33 % (3727610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.33 % (3727610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.33 % (3727610)CaDiCaL version: 2.1.3
% 0.25/0.33 % (3727610)Termination reason: Refutation
% 0.25/0.33 % (3727610)Time elapsed: 0.001 s
% 0.25/0.33 % (3727610)Peak memory usage: 12 MB
% 0.25/0.33 % (3727604)Success in time 0.03 s
% 0.25/0.33 % Vampire exiting
%------------------------------------------------------------------------------