%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO034^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 08:46:19 AM UTC 2026
% Result : Theorem 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO034^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n005.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 16:23:16 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.23 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
% 0.21/0.29 % (1872566)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.29 % (1872585)lrs+10_16_si=on:nwc=1.5:random_seed=1024165785:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.29 % (1872583)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1418252902:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.29 % (1872585) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1872566-1872585"...
% 0.21/0.29 % (1872583) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1872566-1872583"...
% 0.21/0.29 % (1872585)...printing done.
% 0.21/0.29 % (1872583)...printing done.
% 0.21/0.29 % (1872583)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Theorem for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% 0.21/0.29 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.21/0.29 thf(func_def_1, type, sK0: (($o > $o) > $o)).
% 0.21/0.29 thf(func_def_4, type, vNOT: ($o > $o)).
% 0.21/0.29 thf(func_def_5, type, db0: !>[X0: $tType]:(X0)).
% 0.21/0.29 thf(func_def_6, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.21/0.29 thf(f1,conjecture,(
% 0.21/0.29 ? [X0 : ($o > $o)] : ! [X1 : $o] : (X1 <=> (X0 @ X1))),
% 0.21/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.21/0.29 thf(f2,negated_conjecture,(
% 0.21/0.29 ~ ? [X0 : ($o > $o)] : ! [X1 : $o] : (X1 <=> (X0 @ X1))),
% 0.21/0.29 inference(negated_conjecture,[status(cth)],[f1])).
% 0.21/0.29 thf(f3,plain,(
% 0.21/0.29 ~ ? [X0 : ($o > $o)] : ! [X1 : $o] : (X1 <=> (X0 @ X1))),
% 0.21/0.29 inference(rectify,[],[f2])).
% 0.21/0.29 thf(f4,plain,(
% 0.21/0.29 ~ ? [X0 : ($o > $o)] : ! [X1 : $o] : (((X0 @ X1)) = X1)),
% 0.21/0.29 inference(fool_elimination,[],[f3])).
% 0.21/0.29 thf(f5,plain,(
% 0.21/0.29 ! [X0 : ($o > $o)] : ? [X1 : $o] : (((X0 @ X1)) != X1)),
% 0.21/0.29 inference(ennf_transformation,[],[f4])).
% 0.21/0.29 thf(f6,plain,(
% 0.21/0.29 ! [X0 : ($o > $o)] : (((sK0 @ X0)) != ((X0 @ (sK0 @ X0))))),
% 0.21/0.29 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f5])).
% 0.21/0.29 thf(f7,plain,(
% 0.21/0.29 ( ! [X0 : ($o > $o)] : ((((sK0 @ X0)) != ((X0 @ (sK0 @ X0))))) )),
% 0.21/0.29 inference(cnf_transformation,[],[f6])).
% 0.21/0.29 thf(f10,plain,(
% 0.21/0.29 ( ! [X0 : ($o > $o)] : (($true = ((X0 @ (sK0 @ X0)))) | ($true = ((sK0 @ X0)))) )),
% 0.21/0.29 inference(xor_proxy_clausification,[],[f7])).
% 0.21/0.29 thf(f11,plain,(
% 0.21/0.29 ( ! [X0 : ($o > $o)] : (($false = ((X0 @ (sK0 @ X0)))) | ($false = ((sK0 @ X0)))) )),
% 0.21/0.29 inference(xor_proxy_clausification,[],[f7])).
% 0.21/0.29 thf(f12,plain,(
% 0.21/0.29 ($true = ((sK0 @ (^[Y0 : $o]: (Y0))))) | ($true = (((^[Y0 : $o]: (Y0)) @ (sK0 @ (^[Y0 : $o]: (Y0))))))),
% 0.21/0.29 inference(primitive_instantiation,[],[f10])).
% 0.21/0.29 thf(f18,plain,(
% 0.21/0.29 ($true = ((sK0 @ (^[Y0 : $o]: (Y0))))) | ($true = ((sK0 @ (^[Y0 : $o]: (Y0)))))),
% 0.21/0.29 inference(beta-eta_normalization,[],[f12])).
% 0.21/0.29 thf(f19,plain,(
% 0.21/0.29 ($true = ((sK0 @ (^[Y0 : $o]: (Y0)))))),
% 0.21/0.29 inference(duplicate_literal_removal,[],[f18])).
% 0.21/0.29 thf(f23,plain,(
% 0.21/0.29 ($false = (((^[Y0 : $o]: (Y0)) @ (sK0 @ (^[Y0 : $o]: (Y0)))))) | ($false = ((sK0 @ (^[Y0 : $o]: (Y0)))))),
% 0.21/0.29 inference(primitive_instantiation,[],[f11])).
% 0.21/0.29 thf(f29,plain,(
% 0.21/0.29 ($false = ((sK0 @ (^[Y0 : $o]: (Y0))))) | ($false = ((sK0 @ (^[Y0 : $o]: (Y0)))))),
% 0.21/0.29 inference(beta-eta_normalization,[],[f23])).
% 0.21/0.29 thf(f30,plain,(
% 0.21/0.29 ($false = ((sK0 @ (^[Y0 : $o]: (Y0)))))),
% 0.21/0.29 inference(duplicate_literal_removal,[],[f29])).
% 0.21/0.29 thf(f36,plain,(
% 0.21/0.29 ($false = $true)),
% 0.21/0.29 inference(forward_demodulation,[],[f30,f19])).
% 0.21/0.29 thf(f37,plain,(
% 0.21/0.29 $false),
% 0.21/0.29 inference(trivial_inequality_removal,[],[f36])).
% 0.21/0.29 % SZS output end Proof for theBenchmark
% 0.21/0.29 % (1872583)------------------------------
% 0.21/0.29 % (1872583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (1872583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (1872583)CaDiCaL version: 2.1.3
% 0.21/0.29 % (1872583)Termination reason: Refutation
% 0.21/0.29 % (1872583)Time elapsed: 0.003 s
% 0.21/0.29 % (1872583)Peak memory usage: 12 MB
% 0.21/0.29 % (1872583)Instructions burned: 1 (million)
% 0.21/0.29 % (1872566)Success in time 0.049 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------