%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET045^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 08:23:33 AM UTC 2026
% Result : Theorem 0.09s 0.24s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET045^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n014.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
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 13:36:00 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.24 % (2658120)Will run a generic schedule for satisfiability detection.
% 0.09/0.24 % (2658126)% WARNING: option uhcvi not known.
% 0.09/0.24 % (2658126)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1967182400:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.24 % (2658126)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.24 % (2658126)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.09/0.24 % (2658126) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2658120-2658126"...
% 0.09/0.24 % (2658126)...printing done.
% 0.09/0.24 % (2658126)Refutation found. Thanks to Tanya!
% 0.09/0.24 % SZS status Theorem for theBenchmark
% 0.09/0.24 % SZS output start Proof for theBenchmark
% 0.09/0.24 thf(type_def_5, type, b: $tType).
% 0.09/0.24 thf(type_def_6, type, a: $tType).
% 0.09/0.24 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 0.09/0.24 thf(func_def_0, type, cA: b).
% 0.09/0.24 thf(func_def_2, type, sK0: ((a > b) > a)).
% 0.09/0.24 thf(func_def_3, type, db0: !>[X0: $tType]:(X0)).
% 0.09/0.24 thf(func_def_4, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.09/0.24 thf(f1,conjecture,(
% 0.09/0.24 ? [X0 : (a > b)] : ! [X1 : a] : (((X0 @ X1)) = cA)),
% 0.09/0.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTTTP5243)).
% 0.09/0.24 thf(f2,negated_conjecture,(
% 0.09/0.24 ~ ? [X0 : (a > b)] : ! [X1 : a] : (((X0 @ X1)) = cA)),
% 0.09/0.24 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.24 thf(f3,plain,(
% 0.09/0.24 ! [X0 : (a > b)] : ? [X1 : a] : (((X0 @ X1)) != cA)),
% 0.09/0.24 inference(ennf_transformation,[],[f2])).
% 0.09/0.24 thf(f4,plain,(
% 0.09/0.24 ! [X0 : (a > b)] : (cA != ((X0 @ (sK0 @ X0))))),
% 0.09/0.24 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f3])).
% 0.09/0.24 thf(f5,plain,(
% 0.09/0.24 ( ! [X0 : (a > b)] : ((cA != ((X0 @ (sK0 @ X0))))) )),
% 0.09/0.24 inference(cnf_transformation,[],[f4])).
% 0.09/0.24 thf(f6,plain,(
% 0.09/0.24 $false),
% 0.09/0.24 inference(equality_resolution,[],[f5])).
% 0.09/0.24 % SZS output end Proof for theBenchmark
% 0.09/0.24 % (2658126)------------------------------
% 0.09/0.24 % (2658126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (2658126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (2658126)CaDiCaL version: 2.1.3
% 0.09/0.24 % (2658126)Termination reason: Refutation
% 0.09/0.24 % (2658126)Time elapsed: 0.001 s
% 0.09/0.24 % (2658126)Peak memory usage: 12 MB
% 0.09/0.24 % (2658120)Success in time 0.026 s
% 0.09/0.24 % Vampire exiting
%------------------------------------------------------------------------------