%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ088^5 : 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 : n003.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 08:20:52 AM UTC 2026
% Result : Theorem 0.19s 0.26s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ088^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n003.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 13:23:59 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.07/0.23 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
% 0.19/0.26 % (2488021)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.19/0.26 % (2488029)lrs+10_16_si=on:nwc=1.5:random_seed=680837084:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.19/0.26 % (2488029) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2488021-2488029"...
% 0.19/0.26 % (2488029)...printing done.
% 0.19/0.26 % (2488029)Refutation found. Thanks to Tanya!
% 0.19/0.26 % SZS status Theorem for theBenchmark
% 0.19/0.26 % SZS output start Proof for theBenchmark
% 0.19/0.26 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.19/0.26 thf(func_def_0, type, cLIKES: ($i > $i > $o)).
% 0.19/0.26 thf(func_def_6, type, sK0: ($i > $i)).
% 0.19/0.26 thf(f1,conjecture,(
% 0.19/0.26 (! [X1 : $i] : (? [X2 : $i] : (cLIKES @ X1 @ X2) => (cLIKES @ cLYLE @ X1)) & ! [X0 : $i] : (cLIKES @ X0 @ cBRUCE)) => ? [X3 : $i] : ! [X4 : $i] : (cLIKES @ X3 @ X4)),
% 0.19/0.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM68A)).
% 0.19/0.26 thf(f2,negated_conjecture,(
% 0.19/0.26 ~((! [X1 : $i] : (? [X2 : $i] : (cLIKES @ X1 @ X2) => (cLIKES @ cLYLE @ X1)) & ! [X0 : $i] : (cLIKES @ X0 @ cBRUCE)) => ? [X3 : $i] : ! [X4 : $i] : (cLIKES @ X3 @ X4))),
% 0.19/0.26 inference(negated_conjecture,[status(cth)],[f1])).
% 0.19/0.26 thf(f3,plain,(
% 0.19/0.26 ~((! [X0 : $i] : (? [X1 : $i] : (cLIKES @ X0 @ X1) => (cLIKES @ cLYLE @ X0)) & ! [X2 : $i] : (cLIKES @ X2 @ cBRUCE)) => ? [X3 : $i] : ! [X4 : $i] : (cLIKES @ X3 @ X4))),
% 0.19/0.26 inference(rectify,[],[f2])).
% 0.19/0.26 thf(f4,plain,(
% 0.19/0.26 ~((! [X2 : $i] : (((cLIKES @ X2 @ cBRUCE)) = $true) & ! [X0 : $i] : (? [X1 : $i] : (((cLIKES @ X0 @ X1)) = $true) => ($true = ((cLIKES @ cLYLE @ X0))))) => ? [X3 : $i] : ! [X4 : $i] : (((cLIKES @ X3 @ X4)) = $true))),
% 0.19/0.26 inference(fool_elimination,[],[f3])).
% 0.19/0.26 thf(f5,plain,(
% 0.19/0.26 ! [X3 : $i] : ? [X4 : $i] : (((cLIKES @ X3 @ X4)) != $true) & (! [X2 : $i] : (((cLIKES @ X2 @ cBRUCE)) = $true) & ! [X0 : $i] : (! [X1 : $i] : (((cLIKES @ X0 @ X1)) != $true) | ($true = ((cLIKES @ cLYLE @ X0)))))),
% 0.19/0.26 inference(ennf_transformation,[],[f4])).
% 0.19/0.26 thf(f6,plain,(
% 0.19/0.26 ! [X3 : $i] : ? [X4 : $i] : (((cLIKES @ X3 @ X4)) != $true) & ! [X2 : $i] : (((cLIKES @ X2 @ cBRUCE)) = $true) & ! [X0 : $i] : (! [X1 : $i] : (((cLIKES @ X0 @ X1)) != $true) | ($true = ((cLIKES @ cLYLE @ X0))))),
% 0.19/0.26 inference(flattening,[],[f5])).
% 0.19/0.26 thf(f7,plain,(
% 0.19/0.26 ! [X0 : $i] : ? [X1 : $i] : (((cLIKES @ X0 @ X1)) != $true) & ! [X2 : $i] : (((cLIKES @ X2 @ cBRUCE)) = $true) & ! [X3 : $i] : (! [X4 : $i] : (((cLIKES @ X3 @ X4)) != $true) | (((cLIKES @ cLYLE @ X3)) = $true))),
% 0.19/0.26 inference(rectify,[],[f6])).
% 0.19/0.26 thf(f8,plain,(
% 0.19/0.26 ! [X0 : $i] : (((cLIKES @ X0 @ (sK0 @ X0))) != $true) & ! [X2 : $i] : (((cLIKES @ X2 @ cBRUCE)) = $true) & ! [X3 : $i] : (! [X4 : $i] : (((cLIKES @ X3 @ X4)) != $true) | (((cLIKES @ cLYLE @ X3)) = $true))),
% 0.19/0.26 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f7])).
% 0.19/0.26 thf(f9,plain,(
% 0.19/0.26 ( ! [X3 : $i,X4 : $i] : ((((cLIKES @ X3 @ X4)) != $true) | (((cLIKES @ cLYLE @ X3)) = $true)) )),
% 0.19/0.26 inference(cnf_transformation,[],[f8])).
% 0.19/0.26 thf(f10,plain,(
% 0.19/0.26 ( ! [X2 : $i] : ((((cLIKES @ X2 @ cBRUCE)) = $true)) )),
% 0.19/0.26 inference(cnf_transformation,[],[f8])).
% 0.19/0.26 thf(f11,plain,(
% 0.19/0.26 ( ! [X0 : $i] : ((((cLIKES @ X0 @ (sK0 @ X0))) != $true)) )),
% 0.19/0.26 inference(cnf_transformation,[],[f8])).
% 0.19/0.26 thf(f14,plain,(
% 0.19/0.26 ( ! [X0 : $i] : (($true = ((cLIKES @ cLYLE @ X0))) | ($true != $true)) )),
% 0.19/0.26 inference(constrained_superposition,[],[f9,f10])).
% 0.19/0.26 thf(f15,plain,(
% 0.19/0.26 ( ! [X0 : $i] : (($true = ((cLIKES @ cLYLE @ X0)))) )),
% 0.19/0.26 inference(trivial_inequality_removal,[],[f14])).
% 0.19/0.26 thf(f16,plain,(
% 0.19/0.26 ($true != $true)),
% 0.19/0.26 inference(constrained_superposition,[],[f11,f15])).
% 0.19/0.26 thf(f19,plain,(
% 0.19/0.26 $false),
% 0.19/0.26 inference(trivial_inequality_removal,[],[f16])).
% 0.19/0.26 % SZS output end Proof for theBenchmark
% 0.19/0.26 % (2488029)------------------------------
% 0.19/0.26 % (2488029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.26 % (2488029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.26 % (2488029)CaDiCaL version: 2.1.3
% 0.19/0.26 % (2488029)Termination reason: Refutation
% 0.19/0.26 % (2488029)Time elapsed: 0.001 s
% 0.19/0.26 % (2488029)Peak memory usage: 12 MB
% 0.19/0.26 % (2488029)Instructions burned: 1 (million)
% 0.19/0.26 % (2488021)Success in time 0.018 s
% 0.19/0.26 % Vampire exiting
%------------------------------------------------------------------------------