%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO257^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 08:47:18 AM UTC 2026
% Result : Theorem 0.06s 0.25s
% Output : Refutation 0.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO257^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n013.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Sep 29 16:41:06 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running higher-order theorem proving
% 0.06/0.22 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
% 0.06/0.25 % (2354855)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.06/0.25 % (2354860)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3488439211:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.06/0.25 % (2354860) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2354855-2354860"...
% 0.06/0.25 % (2354860)...printing done.
% 0.06/0.25 % (2354860)Refutation found. Thanks to Tanya!
% 0.06/0.25 % SZS status Theorem for theBenchmark
% 0.06/0.25 % SZS output start Proof for theBenchmark
% 0.06/0.25 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.06/0.25 thf(func_def_0, type, h: ($i > $i)).
% 0.06/0.25 thf(func_def_1, type, g: ($i > $i)).
% 0.06/0.25 thf(func_def_2, type, cP: ($i > $i > $o)).
% 0.06/0.25 thf(func_def_6, type, sK0: ($i > $i)).
% 0.06/0.25 thf(f1,conjecture,(
% 0.06/0.25 ? [X0 : $i] : ! [X1 : $i] : (! [X3 : $i,X2 : ($i > $i)] : ((cP @ X3 @ (X2 @ X0)) & (cP @ X0 @ X1)) => (cP @ X1 @ (g @ (h @ X1))))),
% 0.06/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM84)).
% 0.06/0.25 thf(f2,negated_conjecture,(
% 0.06/0.25 ~ ? [X0 : $i] : ! [X1 : $i] : (! [X3 : $i,X2 : ($i > $i)] : ((cP @ X3 @ (X2 @ X0)) & (cP @ X0 @ X1)) => (cP @ X1 @ (g @ (h @ X1))))),
% 0.06/0.25 inference(negated_conjecture,[status(cth)],[f1])).
% 0.06/0.25 thf(f3,plain,(
% 0.06/0.25 ~ ? [X0 : $i] : ! [X1 : $i] : (! [X2 : $i,X3 : ($i > $i)] : ((cP @ X2 @ (X3 @ X0)) & (cP @ X0 @ X1)) => (cP @ X1 @ (g @ (h @ X1))))),
% 0.06/0.25 inference(rectify,[],[f2])).
% 0.06/0.25 thf(f4,plain,(
% 0.06/0.25 ~ ? [X0 : $i] : ! [X1 : $i] : (! [X3 : ($i > $i),X2 : $i] : (($true = ((cP @ X2 @ (X3 @ X0)))) & (((cP @ X0 @ X1)) = $true)) => (((cP @ X1 @ (g @ (h @ X1)))) = $true))),
% 0.06/0.25 inference(fool_elimination,[],[f3])).
% 0.06/0.25 thf(f5,plain,(
% 0.06/0.25 ! [X0 : $i] : ? [X1 : $i] : (! [X3 : ($i > $i),X2 : $i] : (($true = ((cP @ X2 @ (X3 @ X0)))) & (((cP @ X0 @ X1)) = $true)) & (((cP @ X1 @ (g @ (h @ X1)))) != $true))),
% 0.06/0.25 inference(ennf_transformation,[],[f4])).
% 0.06/0.25 thf(f6,plain,(
% 0.06/0.25 ! [X0 : $i] : ? [X1 : $i] : (! [X2 : ($i > $i),X3 : $i] : ((((cP @ X3 @ (X2 @ X0))) = $true) & (((cP @ X0 @ X1)) = $true)) & (((cP @ X1 @ (g @ (h @ X1)))) != $true))),
% 0.06/0.25 inference(rectify,[],[f5])).
% 0.06/0.25 thf(f7,plain,(
% 0.06/0.25 ! [X0 : $i] : (! [X2 : ($i > $i),X3 : $i] : ((((cP @ X3 @ (X2 @ X0))) = $true) & ($true = ((cP @ X0 @ (sK0 @ X0))))) & ($true != ((cP @ (sK0 @ X0) @ (g @ (h @ (sK0 @ X0)))))))),
% 0.06/0.25 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f6])).
% 0.06/0.25 thf(f8,plain,(
% 0.06/0.25 ( ! [X0 : $i] : (($true != ((cP @ (sK0 @ X0) @ (g @ (h @ (sK0 @ X0))))))) )),
% 0.06/0.25 inference(cnf_transformation,[],[f7])).
% 0.06/0.25 thf(f10,plain,(
% 0.06/0.25 ( ! [X2 : ($i > $i),X3 : $i,X0 : $i] : ((((cP @ X3 @ (X2 @ X0))) = $true)) )),
% 0.06/0.25 inference(cnf_transformation,[],[f7])).
% 0.06/0.25 thf(f13,plain,(
% 0.06/0.25 $false),
% 0.06/0.25 inference(forward_subsumption_resolution,[],[f8,f10])).
% 0.06/0.25 % SZS output end Proof for theBenchmark
% 0.06/0.25 % (2354860)------------------------------
% 0.06/0.25 % (2354860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.25 % (2354860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.25 % (2354860)CaDiCaL version: 2.1.3
% 0.06/0.25 % (2354860)Termination reason: Refutation
% 0.06/0.25 % (2354860)Time elapsed: 0.001 s
% 0.06/0.25 % (2354860)Peak memory usage: 12 MB
% 0.06/0.26 % (2354860)Instructions burned: 1 (million)
% 0.06/0.26 % (2354855)Success in time 0.025 s
% 0.06/0.26 % Vampire exiting
%------------------------------------------------------------------------------