%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV430^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 08:39:30 AM UTC 2026
% Result : Theorem 0.07s 0.25s
% Output : Refutation 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV430^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n026.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
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 15:49:37 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.07/0.25 % (769234)Will run a generic schedule for satisfiability detection.
% 0.07/0.25 % (769243)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3946204735:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.25 % (769243)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.07/0.25 % (769243) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-769234-769243"...
% 0.07/0.25 % (769243)...printing done.
% 0.07/0.25 % (769240)% WARNING: option uhcvi not known.
% 0.07/0.25 % (769243)Refutation found. Thanks to Tanya!
% 0.07/0.25 % SZS status Theorem for theBenchmark
% 0.07/0.25 % SZS output start Proof for theBenchmark
% 0.07/0.25 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.07/0.25 thf(func_def_0, type, f: ($i > $i)).
% 0.07/0.25 thf(func_def_2, type, sK0: ($i > $i)).
% 0.07/0.25 thf(func_def_3, type, sK1: (($i > $i) > $i)).
% 0.07/0.25 thf(func_def_4, type, db0: !>[X0: $tType]:(X0)).
% 0.07/0.25 thf(func_def_5, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.07/0.25 thf(func_def_6, type, db1: !>[X0: $tType]:(X0)).
% 0.07/0.25 thf(f1,axiom,(
% 0.07/0.25 ! [X0 : $i] : ? [X1 : $i] : (((f @ X1)) = X0)),
% 0.07/0.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fsurj)).
% 0.07/0.25 thf(f2,conjecture,(
% 0.07/0.25 ? [X0 : ($i > $i)] : ! [X1 : $i] : (((f @ (X0 @ X1))) = X1)),
% 0.07/0.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',invexists)).
% 0.07/0.25 thf(f3,negated_conjecture,(
% 0.07/0.25 ~ ? [X0 : ($i > $i)] : ! [X1 : $i] : (((f @ (X0 @ X1))) = X1)),
% 0.07/0.25 inference(negated_conjecture,[status(cth)],[f2])).
% 0.07/0.25 thf(f4,plain,(
% 0.07/0.25 ! [X0 : ($i > $i)] : ? [X1 : $i] : (((f @ (X0 @ X1))) != X1)),
% 0.07/0.25 inference(ennf_transformation,[],[f3])).
% 0.07/0.25 thf(f5,plain,(
% 0.07/0.25 ! [X0 : $i] : (((f @ (sK0 @ X0))) = X0)),
% 0.07/0.25 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f1])).
% 0.07/0.25 thf(f6,plain,(
% 0.07/0.25 ! [X0 : ($i > $i)] : (((sK1 @ X0)) != ((f @ (X0 @ (sK1 @ X0)))))),
% 0.07/0.25 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f4])).
% 0.07/0.25 thf(f7,plain,(
% 0.07/0.25 ( ! [X0 : $i] : ((((f @ (sK0 @ X0))) = X0)) )),
% 0.07/0.25 inference(cnf_transformation,[],[f5])).
% 0.07/0.25 thf(f8,plain,(
% 0.07/0.25 ( ! [X0 : ($i > $i)] : ((((sK1 @ X0)) != ((f @ (X0 @ (sK1 @ X0)))))) )),
% 0.07/0.25 inference(cnf_transformation,[],[f6])).
% 0.07/0.25 thf(f10,plain,(
% 0.07/0.25 ( ! [X0 : $i,X1 : ($i > $i)] : ((((sK1 @ (^[Y0 : $i]: (sK0 @ (X1 @ Y0))))) != X0) | (((X1 @ (sK1 @ (^[Y0 : $i]: (sK0 @ (X1 @ Y0)))))) != X0)) )),
% 0.07/0.25 inference(constrained_superposition,[],[f8,f7])).
% 0.07/0.25 thf(f12,plain,(
% 0.07/0.25 ( ! [X0 : ($i > $i)] : ((((sK1 @ (^[Y0 : $i]: (sK0 @ (X0 @ Y0))))) != ((X0 @ (sK1 @ (^[Y0 : $i]: (sK0 @ (X0 @ Y0)))))))) )),
% 0.07/0.25 inference(equality_resolution,[],[f10])).
% 0.07/0.25 thf(f15,plain,(
% 0.07/0.25 $false),
% 0.07/0.25 inference(equality_resolution,[],[f12])).
% 0.07/0.25 % SZS output end Proof for theBenchmark
% 0.07/0.25 % (769243)------------------------------
% 0.07/0.25 % (769243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (769243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (769243)CaDiCaL version: 2.1.3
% 0.07/0.25 % (769243)Termination reason: Refutation
% 0.07/0.25 % (769243)Time elapsed: 0.001 s
% 0.07/0.25 % (769243)Peak memory usage: 12 MB
% 0.07/0.25 % (769243)Instructions burned: 2 (million)
% 0.07/0.25 % (769234)Success in time 0.032 s
% 0.07/0.26 % Vampire exiting
%------------------------------------------------------------------------------