%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO550^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 08:50:24 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 : SYO550^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n002.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 17:17:07 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 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 % (1589477)Will run a generic schedule for satisfiability detection.
% 0.09/0.24 % (1589487)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=922509666:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.24 % (1589487) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1589477-1589487"...
% 0.09/0.24 % (1589487)...printing done.
% 0.09/0.24 % (1589487)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, sTfun: ($tType * $tType) > $tType).
% 0.09/0.24 thf(func_def_1, type, sK0: (($i > $i) > $i)).
% 0.09/0.24 thf(func_def_2, type, db0: !>[X0: $tType]:(X0)).
% 0.09/0.24 thf(func_def_3, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.09/0.24 thf(func_def_4, type, db1: !>[X0: $tType]:(X0)).
% 0.09/0.24 thf(func_def_5, type, db2: !>[X0: $tType]:(X0)).
% 0.09/0.24 thf(f1,conjecture,(
% 0.09/0.24 ? [X0 : ($i > $i)] : ! [X1 : $i] : (((X0 @ X1)) = X1)),
% 0.09/0.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',claim)).
% 0.09/0.24 thf(f2,negated_conjecture,(
% 0.09/0.24 ~ ? [X0 : ($i > $i)] : ! [X1 : $i] : (((X0 @ X1)) = X1)),
% 0.09/0.24 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.24 thf(f3,plain,(
% 0.09/0.24 ! [X0 : ($i > $i)] : ? [X1 : $i] : (((X0 @ X1)) != X1)),
% 0.09/0.24 inference(ennf_transformation,[],[f2])).
% 0.09/0.24 thf(f4,plain,(
% 0.09/0.24 ! [X0 : ($i > $i)] : (((sK0 @ X0)) != ((X0 @ (sK0 @ X0))))),
% 0.09/0.24 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f3])).
% 0.09/0.24 thf(f5,plain,(
% 0.09/0.24 ( ! [X0 : ($i > $i)] : ((((sK0 @ X0)) != ((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 % (1589487)------------------------------
% 0.09/0.24 % (1589487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (1589487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (1589487)CaDiCaL version: 2.1.3
% 0.09/0.24 % (1589487)Termination reason: Refutation
% 0.09/0.24 % (1589487)Time elapsed: 0.001 s
% 0.09/0.24 % (1589487)Peak memory usage: 12 MB
% 0.09/0.24 % (1589487)Instructions burned: 1 (million)
% 0.09/0.24 % (1589477)Success in time 0.027 s
% 0.09/0.24 % Vampire exiting
%------------------------------------------------------------------------------