%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% 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 08:48:45 AM UTC 2026
% Result : Theorem 0.24s 0.33s
% Output : Refutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO034^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.24 % Computer : n003.cluster.edu
% 0.11/0.24 % Model : x86_64 x86_64
% 0.11/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.24 % Memory : 8046.5625MB
% 0.11/0.24 % OS : Linux 6.8.0-71-generic
% 0.11/0.24 % CPULimit : 300
% 0.11/0.24 % WCLimit : 300
% 0.11/0.24 % DateTime : Tue Sep 29 16:25:14 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.30 Running first-order model finding
% 0.24/0.30 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/0.33 % (2697733)Will run a generic schedule for satisfiability detection.
% 0.24/0.33 % (2697742)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1670273827:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.24/0.33 % (2697742)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.24/0.33 % (2697742) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2697733-2697742"...
% 0.24/0.33 % (2697742)...printing done.
% 0.24/0.33 % (2697742)Refutation found. Thanks to Tanya!
% 0.24/0.33 % SZS status Theorem for theBenchmark
% 0.24/0.33 % SZS output start Proof for theBenchmark
% 0.24/0.33 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.24/0.33 thf(func_def_1, type, sK0: (($o > $o) > $o)).
% 0.24/0.33 thf(func_def_4, type, vNOT: ($o > $o)).
% 0.24/0.33 thf(func_def_5, type, db0: !>[X0: $tType]:(X0)).
% 0.24/0.33 thf(func_def_6, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.24/0.33 thf(func_def_7, type, db1: !>[X0: $tType]:(X0)).
% 0.24/0.33 thf(f1,conjecture,(
% 0.24/0.33 ? [X0 : ($o > $o)] : ! [X1 : $o] : ((X0 @ X1) <=> X1)),
% 0.24/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.24/0.33 thf(f2,negated_conjecture,(
% 0.24/0.33 ~ ? [X0 : ($o > $o)] : ! [X1 : $o] : ((X0 @ X1) <=> X1)),
% 0.24/0.33 inference(negated_conjecture,[status(cth)],[f1])).
% 0.24/0.33 thf(f3,plain,(
% 0.24/0.33 ~ ? [X0 : ($o > $o)] : ! [X1 : $o] : ((X0 @ X1) <=> X1)),
% 0.24/0.33 inference(rectify,[],[f2])).
% 0.24/0.33 thf(f4,plain,(
% 0.24/0.33 ~ ? [X0 : ($o > $o)] : ! [X1 : $o] : (((X0 @ X1)) = X1)),
% 0.24/0.33 inference(fool_elimination,[],[f3])).
% 0.24/0.33 thf(f5,plain,(
% 0.24/0.33 ! [X0 : ($o > $o)] : ? [X1 : $o] : (((X0 @ X1)) != X1)),
% 0.24/0.33 inference(ennf_transformation,[],[f4])).
% 0.24/0.33 thf(f6,plain,(
% 0.24/0.33 ! [X0 : ($o > $o)] : (((sK0 @ X0)) != ((X0 @ (sK0 @ X0))))),
% 0.24/0.33 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f5])).
% 0.24/0.33 thf(f7,plain,(
% 0.24/0.33 ( ! [X0 : ($o > $o)] : ((((sK0 @ X0)) != ((X0 @ (sK0 @ X0))))) )),
% 0.24/0.33 inference(cnf_transformation,[],[f6])).
% 0.24/0.33 thf(f10,plain,(
% 0.24/0.33 ( ! [X0 : ($o > $o)] : ((((X0 @ (sK0 @ X0))) = $true) | (((sK0 @ X0)) = $true)) )),
% 0.24/0.33 inference(xor_proxy_clausification,[],[f7])).
% 0.24/0.33 thf(f11,plain,(
% 0.24/0.33 ( ! [X0 : ($o > $o)] : ((((X0 @ (sK0 @ X0))) = $false) | (((sK0 @ X0)) = $false)) )),
% 0.24/0.33 inference(xor_proxy_clausification,[],[f7])).
% 0.24/0.33 thf(f12,plain,(
% 0.24/0.33 ($true = (((^[Y0 : $o]: (Y0)) @ (sK0 @ (^[Y0 : $o]: (Y0)))))) | ($true = ((sK0 @ (^[Y0 : $o]: (Y0)))))),
% 0.24/0.33 inference(primitive_instantiation,[],[f10])).
% 0.24/0.33 thf(f28,plain,(
% 0.24/0.33 ($true = ((sK0 @ (^[Y0 : $o]: (Y0))))) | ($true = ((sK0 @ (^[Y0 : $o]: (Y0)))))),
% 0.24/0.33 inference(beta-eta_normalization,[],[f12])).
% 0.24/0.33 thf(f29,plain,(
% 0.24/0.33 ($true = ((sK0 @ (^[Y0 : $o]: (Y0)))))),
% 0.24/0.33 inference(duplicate_literal_removal,[],[f28])).
% 0.24/0.33 thf(f45,plain,(
% 0.24/0.33 ($false = (((^[Y0 : $o]: (Y0)) @ $true))) | ($true = $false)),
% 0.24/0.33 inference(constrained_superposition,[],[f11,f29])).
% 0.24/0.33 thf(f95,plain,(
% 0.24/0.33 ($false = (((^[Y0 : $o]: (Y0)) @ $true)))),
% 0.24/0.33 inference(trivial_inequality_removal,[],[f45])).
% 0.24/0.33 thf(f96,plain,(
% 0.24/0.33 ($true = $false)),
% 0.24/0.33 inference(beta-eta_normalization,[],[f95])).
% 0.24/0.33 thf(f97,plain,(
% 0.24/0.33 $false),
% 0.24/0.33 inference(trivial_inequality_removal,[],[f96])).
% 0.24/0.33 % SZS output end Proof for theBenchmark
% 0.24/0.33 % (2697742)------------------------------
% 0.24/0.33 % (2697742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.33 % (2697742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.33 % (2697742)CaDiCaL version: 2.1.3
% 0.24/0.33 % (2697742)Termination reason: Refutation
% 0.24/0.33 % (2697742)Time elapsed: 0.003 s
% 0.24/0.33 % (2697742)Peak memory usage: 12 MB
% 0.24/0.33 % (2697742)Instructions burned: 4 (million)
% 0.24/0.33 % (2697733)Success in time 0.026 s
% 0.24/0.33 % Vampire exiting
%------------------------------------------------------------------------------