%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV081^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 08:38:58 AM UTC 2026
% Result : Theorem 0.12s 0.26s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV081^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.19 % Computer : n010.cluster.edu
% 0.12/0.19 % Model : x86_64 x86_64
% 0.12/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19 % Memory : 8046.5625MB
% 0.12/0.19 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.19 % WCLimit : 300
% 0.12/0.19 % DateTime : Tue Sep 29 15:07:18 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.22 Running first-order model finding
% 0.12/0.22 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
% 0.12/0.26 % (2975176)Will run a generic schedule for satisfiability detection.
% 0.12/0.26 % (2975182)% WARNING: option uhcvi not known.
% 0.12/0.26 % (2975182)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3988284944:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.26 % (2975182)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.12/0.26 % (2975182)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.12/0.26 % (2975182) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2975176-2975182"...
% 0.12/0.26 % (2975182)...printing done.
% 0.12/0.26 % (2975182)Refutation found. Thanks to Tanya!
% 0.12/0.26 % SZS status Theorem for theBenchmark
% 0.12/0.26 % SZS output start Proof for theBenchmark
% 0.12/0.26 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.12/0.26 thf(func_def_3, type, sK0: ((($i > $o) > ($i > $o) > $o) > $i > $o)).
% 0.12/0.26 thf(func_def_4, type, sK1: ((($i > $o) > ($i > $o) > $o) > $i > $o)).
% 0.12/0.26 thf(func_def_5, type, sK2: ((($i > $o) > ($i > $o) > $o) > $i > $o)).
% 0.12/0.26 thf(func_def_6, type, sK3: ((($i > $o) > ($i > $o) > $o) > $i > $o)).
% 0.12/0.26 thf(func_def_7, type, vNOT: ($o > $o)).
% 0.12/0.26 thf(func_def_8, type, db0: !>[X0: $tType]:(X0)).
% 0.12/0.26 thf(func_def_9, type, db1: !>[X0: $tType]:(X0)).
% 0.12/0.26 thf(func_def_10, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.12/0.26 thf(func_def_11, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.12/0.26 thf(f1,conjecture,(
% 0.12/0.26 ? [X0 : (($i > $o) > ($i > $o) > $o)] : (! [X3 : ($i > $o),X4 : ($i > $o),X5 : ($i > $o)] : (((X0 @ X4 @ X5) & (X0 @ X3 @ X4)) => (X0 @ X3 @ X5)) & ! [X3 : ($i > $o)] : (X0 @ X3 @ X3) & ? [X1 : ($i > $o),X2 : ($i > $o)] : (X0 @ X1 @ X2))),
% 0.12/0.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM120_1_pme)).
% 0.12/0.26 thf(f2,negated_conjecture,(
% 0.12/0.26 ~ ? [X0 : (($i > $o) > ($i > $o) > $o)] : (! [X3 : ($i > $o),X4 : ($i > $o),X5 : ($i > $o)] : (((X0 @ X4 @ X5) & (X0 @ X3 @ X4)) => (X0 @ X3 @ X5)) & ! [X3 : ($i > $o)] : (X0 @ X3 @ X3) & ? [X1 : ($i > $o),X2 : ($i > $o)] : (X0 @ X1 @ X2))),
% 0.12/0.26 inference(negated_conjecture,[status(cth)],[f1])).
% 0.12/0.26 thf(f3,plain,(
% 0.12/0.26 ~ ? [X0 : (($i > $o) > ($i > $o) > $o)] : (! [X1 : ($i > $o),X2 : ($i > $o),X3 : ($i > $o)] : (((X0 @ X2 @ X3) & (X0 @ X1 @ X2)) => (X0 @ X1 @ X3)) & ! [X4 : ($i > $o)] : (X0 @ X4 @ X4) & ? [X5 : ($i > $o),X6 : ($i > $o)] : (X0 @ X5 @ X6))),
% 0.12/0.26 inference(rectify,[],[f2])).
% 0.12/0.26 thf(f4,plain,(
% 0.12/0.26 ~ ? [X0 : (($i > $o) > ($i > $o) > $o)] : (! [X1 : ($i > $o),X2 : ($i > $o),X3 : ($i > $o)] : (((((X0 @ X2 @ X3)) = $true) & (((X0 @ X1 @ X2)) = $true)) => (((X0 @ X1 @ X3)) = $true)) & ! [X4 : ($i > $o)] : (((X0 @ X4 @ X4)) = $true) & ? [X5 : ($i > $o),X6 : ($i > $o)] : (((X0 @ X5 @ X6)) = $true))),
% 0.12/0.26 inference(fool_elimination,[],[f3])).
% 0.12/0.26 thf(f5,plain,(
% 0.12/0.26 ! [X0 : (($i > $o) > ($i > $o) > $o)] : (? [X1 : ($i > $o),X2 : ($i > $o),X3 : ($i > $o)] : ((((X0 @ X1 @ X3)) != $true) & ((((X0 @ X2 @ X3)) = $true) & (((X0 @ X1 @ X2)) = $true))) | ? [X4 : ($i > $o)] : (((X0 @ X4 @ X4)) != $true) | ! [X5 : ($i > $o),X6 : ($i > $o)] : (((X0 @ X5 @ X6)) != $true))),
% 0.12/0.26 inference(ennf_transformation,[],[f4])).
% 0.12/0.26 thf(f6,plain,(
% 0.12/0.26 ! [X0 : (($i > $o) > ($i > $o) > $o)] : (? [X1 : ($i > $o),X2 : ($i > $o),X3 : ($i > $o)] : ((((X0 @ X1 @ X3)) != $true) & (((X0 @ X2 @ X3)) = $true) & (((X0 @ X1 @ X2)) = $true)) | ? [X4 : ($i > $o)] : (((X0 @ X4 @ X4)) != $true) | ! [X5 : ($i > $o),X6 : ($i > $o)] : (((X0 @ X5 @ X6)) != $true))),
% 0.12/0.26 inference(flattening,[],[f5])).
% 0.12/0.26 thf(f7,plain,(
% 0.12/0.26 ! [X0 : (($i > $o) > ($i > $o) > $o)] : ((($true != ((X0 @ (sK0 @ X0) @ (sK2 @ X0)))) & ($true = ((X0 @ (sK1 @ X0) @ (sK2 @ X0)))) & ($true = ((X0 @ (sK0 @ X0) @ (sK1 @ X0))))) | ($true != ((X0 @ (sK3 @ X0) @ (sK3 @ X0)))) | ! [X5 : ($i > $o),X6 : ($i > $o)] : (((X0 @ X5 @ X6)) != $true))),
% 0.12/0.26 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,vAPP,vAPP]),skolemize(X4,sK3 @ X0),skolemize(X4,sK3 @ X0),skolemize(X4,sK3 @ X0),skolemize(X4,sK3 @ X0)],[f6])).
% 0.12/0.26 thf(f10,plain,(
% 0.12/0.26 ( ! [X0 : (($i > $o) > ($i > $o) > $o),X6 : ($i > $o),X5 : ($i > $o)] : (($true != ((X0 @ (sK3 @ X0) @ (sK3 @ X0)))) | ($true != ((X0 @ (sK0 @ X0) @ (sK2 @ X0)))) | (((X0 @ X5 @ X6)) != $true)) )),
% 0.12/0.26 inference(cnf_transformation,[],[f7])).
% 0.12/0.26 thf(f104,plain,(
% 0.12/0.26 ( ! [X0 : ($i > $o),X1 : ($i > $o)] : (($true != (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true)))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true)))))))) | ($true != (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true)))) @ X0 @ X1)))) )),
% 0.12/0.26 inference(equality_resolution,[],[f10])).
% 0.12/0.26 thf(f105,plain,(
% 0.12/0.26 ($true != $true) | ($true != $true)),
% 0.12/0.26 inference(beta-eta_normalization,[],[f104])).
% 0.12/0.26 thf(f106,plain,(
% 0.12/0.26 ($true != $true)),
% 0.12/0.26 inference(duplicate_literal_removal,[],[f105])).
% 0.12/0.26 thf(f107,plain,(
% 0.12/0.26 $false),
% 0.12/0.26 inference(trivial_inequality_removal,[],[f106])).
% 0.12/0.26 % SZS output end Proof for theBenchmark
% 0.12/0.26 % (2975182)------------------------------
% 0.12/0.26 % (2975182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.26 % (2975182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.26 % (2975182)CaDiCaL version: 2.1.3
% 0.12/0.26 % (2975182)Termination reason: Refutation
% 0.12/0.26 % (2975182)Time elapsed: 0.003 s
% 0.12/0.26 % (2975182)Peak memory usage: 12 MB
% 0.12/0.26 % (2975182)Instructions burned: 5 (million)
% 0.12/0.26 % (2975176)Success in time 0.026 s
% 0.12/0.26 % Vampire exiting
%------------------------------------------------------------------------------