%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO143^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 08:46:42 AM UTC 2026
% Result : Theorem 0.21s 0.26s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO143^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n015.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 16:38:33 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.26 % (3757984)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.26 % (3757997)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1263886158:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.26 % (3757997) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3757984-3757997"...
% 0.21/0.26 % (3757997)...printing done.
% 0.21/0.26 % (3757997)Refutation found. Thanks to Tanya!
% 0.21/0.26 % SZS status Theorem for theBenchmark
% 0.21/0.26 % SZS output start Proof for theBenchmark
% 0.21/0.26 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.21/0.26 thf(func_def_0, type, cQ: ($i > $o)).
% 0.21/0.26 thf(func_def_1, type, cP: ($i > $o)).
% 0.21/0.26 thf(func_def_5, type, sK0: ($i > $i)).
% 0.21/0.26 thf(f1,conjecture,(
% 0.21/0.26 (? [X2 : $i] : (cQ @ X2) | ~ ? [X0 : $i] : ! [X1 : $i] : ((cP @ X0) => (cP @ X1))) => ? [X2 : $i] : (cQ @ X2)),
% 0.21/0.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cDUP_BUG_1)).
% 0.21/0.26 thf(f2,negated_conjecture,(
% 0.21/0.26 ~((? [X2 : $i] : (cQ @ X2) | ~ ? [X0 : $i] : ! [X1 : $i] : ((cP @ X0) => (cP @ X1))) => ? [X2 : $i] : (cQ @ X2))),
% 0.21/0.26 inference(negated_conjecture,[status(cth)],[f1])).
% 0.21/0.26 thf(f3,plain,(
% 0.21/0.26 ~((? [X0 : $i] : (cQ @ X0) | ~ ? [X1 : $i] : ! [X2 : $i] : ((cP @ X1) => (cP @ X2))) => ? [X3 : $i] : (cQ @ X3))),
% 0.21/0.26 inference(rectify,[],[f2])).
% 0.21/0.26 thf(f4,plain,(
% 0.21/0.26 ~((? [X0 : $i] : (((cQ @ X0)) = $true) | ~ ? [X1 : $i] : ! [X2 : $i] : ((((cP @ X1)) = $true) => ($true = ((cP @ X2))))) => ? [X3 : $i] : (((cQ @ X3)) = $true))),
% 0.21/0.26 inference(fool_elimination,[],[f3])).
% 0.21/0.26 thf(f5,plain,(
% 0.21/0.26 (! [X1 : $i] : ? [X2 : $i] : ((((cP @ X1)) = $true) & ($true != ((cP @ X2)))) | ? [X0 : $i] : (((cQ @ X0)) = $true)) & ! [X3 : $i] : (((cQ @ X3)) != $true)),
% 0.21/0.26 inference(ennf_transformation,[],[f4])).
% 0.21/0.26 thf(f6,plain,(
% 0.21/0.26 (! [X0 : $i] : ? [X1 : $i] : ((((cP @ X0)) = $true) & (((cP @ X1)) != $true)) | ? [X2 : $i] : (((cQ @ X2)) = $true)) & ! [X3 : $i] : (((cQ @ X3)) != $true)),
% 0.21/0.26 inference(rectify,[],[f5])).
% 0.21/0.26 thf(f7,plain,(
% 0.21/0.26 (! [X0 : $i] : ((((cP @ X0)) = $true) & ($true != ((cP @ (sK0 @ X0))))) | (((cQ @ sK1)) = $true)) & ! [X3 : $i] : (((cQ @ X3)) != $true)),
% 0.21/0.26 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,sK1]),skolemize(X1,sK0 @ X0),skolemize(X2,sK1)],[f6])).
% 0.21/0.26 thf(f8,plain,(
% 0.21/0.26 ( ! [X3 : $i] : ((((cQ @ X3)) != $true)) )),
% 0.21/0.26 inference(cnf_transformation,[],[f7])).
% 0.21/0.26 thf(f9,plain,(
% 0.21/0.26 ( ! [X0 : $i] : (($true != ((cP @ (sK0 @ X0)))) | (((cQ @ sK1)) = $true)) )),
% 0.21/0.26 inference(cnf_transformation,[],[f7])).
% 0.21/0.26 thf(f10,plain,(
% 0.21/0.26 ( ! [X0 : $i] : ((((cP @ X0)) = $true) | (((cQ @ sK1)) = $true)) )),
% 0.21/0.26 inference(cnf_transformation,[],[f7])).
% 0.21/0.26 thf(f12,plain,(
% 0.21/0.26 ( ! [X0 : $i] : ((((cP @ X0)) = $true)) )),
% 0.21/0.26 inference(forward_subsumption_resolution,[],[f10,f8])).
% 0.21/0.26 thf(f13,plain,(
% 0.21/0.26 ( ! [X0 : $i] : (($true != ((cP @ (sK0 @ X0))))) )),
% 0.21/0.26 inference(forward_subsumption_resolution,[],[f9,f8])).
% 0.21/0.26 thf(f14,plain,(
% 0.21/0.26 $false),
% 0.21/0.26 inference(forward_subsumption_resolution,[],[f13,f12])).
% 0.21/0.26 % SZS output end Proof for theBenchmark
% 0.21/0.26 % (3757997)------------------------------
% 0.21/0.26 % (3757997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.26 % (3757997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.26 % (3757997)CaDiCaL version: 2.1.3
% 0.21/0.26 % (3757997)Termination reason: Refutation
% 0.21/0.26 % (3757997)Time elapsed: 0.001 s
% 0.21/0.26 % (3757997)Peak memory usage: 12 MB
% 0.21/0.26 % (3757997)Instructions burned: 1 (million)
% 0.21/0.26 % (3757984)Success in time 0.024 s
% 0.21/0.26 % Vampire exiting
%------------------------------------------------------------------------------