%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV391^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 08:38:33 AM UTC 2026
% Result : Theorem 0.22s 0.28s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV391^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n008.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 15:44:40 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.28 % (3320657)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.28 % (3320662)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3408722317:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.28 % (3320662) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3320657-3320662"...
% 0.22/0.28 % (3320662)...printing done.
% 0.22/0.28 % (3320662)Refutation found. Thanks to Tanya!
% 0.22/0.28 % SZS status Theorem for theBenchmark
% 0.22/0.28 % SZS output start Proof for theBenchmark
% 0.22/0.28 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.22/0.28 thf(func_def_0, type, cP: ($i > $i > $i > $o)).
% 0.22/0.28 thf(func_def_1, type, k: ($i > $i)).
% 0.22/0.28 thf(func_def_2, type, h: ($i > $i)).
% 0.22/0.28 thf(func_def_7, type, sK0: ($i > $i)).
% 0.22/0.28 thf(f1,conjecture,(
% 0.22/0.28 ? [X0 : $i] : ! [X1 : $i] : ? [X2 : $i] : (((cP @ X0 @ (k @ X1) @ X1) | (cP @ a @ (h @ X1) @ X1)) => (cP @ X0 @ X2 @ X1))),
% 0.22/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM87_pme)).
% 0.22/0.28 thf(f2,negated_conjecture,(
% 0.22/0.28 ~ ? [X0 : $i] : ! [X1 : $i] : ? [X2 : $i] : (((cP @ X0 @ (k @ X1) @ X1) | (cP @ a @ (h @ X1) @ X1)) => (cP @ X0 @ X2 @ X1))),
% 0.22/0.28 inference(negated_conjecture,[status(cth)],[f1])).
% 0.22/0.28 thf(f3,plain,(
% 0.22/0.28 ~ ? [X0 : $i] : ! [X1 : $i] : ? [X2 : $i] : (((cP @ X0 @ (k @ X1) @ X1) | (cP @ a @ (h @ X1) @ X1)) => (cP @ X0 @ X2 @ X1))),
% 0.22/0.28 inference(rectify,[],[f2])).
% 0.22/0.28 thf(f4,plain,(
% 0.22/0.28 ~ ? [X0 : $i] : ! [X1 : $i] : ? [X2 : $i] : (((((cP @ X0 @ (k @ X1) @ X1)) = $true) | (((cP @ a @ (h @ X1) @ X1)) = $true)) => (((cP @ X0 @ X2 @ X1)) = $true))),
% 0.22/0.28 inference(fool_elimination,[],[f3])).
% 0.22/0.28 thf(f5,plain,(
% 0.22/0.28 ! [X0 : $i] : ? [X1 : $i] : ! [X2 : $i] : ((((cP @ X0 @ X2 @ X1)) != $true) & ((((cP @ X0 @ (k @ X1) @ X1)) = $true) | (((cP @ a @ (h @ X1) @ X1)) = $true)))),
% 0.22/0.28 inference(ennf_transformation,[],[f4])).
% 0.22/0.28 thf(f6,plain,(
% 0.22/0.28 ! [X0 : $i] : ! [X2 : $i] : ((((cP @ X0 @ X2 @ (sK0 @ X0))) != $true) & ((((cP @ X0 @ (k @ (sK0 @ X0)) @ (sK0 @ X0))) = $true) | (((cP @ a @ (h @ (sK0 @ X0)) @ (sK0 @ X0))) = $true)))),
% 0.22/0.28 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f5])).
% 0.22/0.28 thf(f7,plain,(
% 0.22/0.28 ( ! [X0 : $i] : ((((cP @ X0 @ (k @ (sK0 @ X0)) @ (sK0 @ X0))) = $true) | (((cP @ a @ (h @ (sK0 @ X0)) @ (sK0 @ X0))) = $true)) )),
% 0.22/0.28 inference(cnf_transformation,[],[f6])).
% 0.22/0.28 thf(f8,plain,(
% 0.22/0.28 ( ! [X2 : $i,X0 : $i] : ((((cP @ X0 @ X2 @ (sK0 @ X0))) != $true)) )),
% 0.22/0.28 inference(cnf_transformation,[],[f6])).
% 0.22/0.28 thf(f11,plain,(
% 0.22/0.28 ( ! [X0 : $i] : ((((cP @ a @ (h @ (sK0 @ X0)) @ (sK0 @ X0))) = $true)) )),
% 0.22/0.28 inference(forward_subsumption_resolution,[],[f7,f8])).
% 0.22/0.28 thf(f12,plain,(
% 0.22/0.28 ($true != $true)),
% 0.22/0.28 inference(constrained_superposition,[],[f8,f11])).
% 0.22/0.28 thf(f13,plain,(
% 0.22/0.28 $false),
% 0.22/0.28 inference(trivial_inequality_removal,[],[f12])).
% 0.22/0.28 % SZS output end Proof for theBenchmark
% 0.22/0.28 % (3320662)------------------------------
% 0.22/0.28 % (3320662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28 % (3320662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28 % (3320662)CaDiCaL version: 2.1.3
% 0.22/0.28 % (3320662)Termination reason: Refutation
% 0.22/0.28 % (3320662)Time elapsed: 0.001 s
% 0.22/0.28 % (3320662)Peak memory usage: 12 MB
% 0.22/0.28 % (3320662)Instructions burned: 1 (million)
% 0.22/0.28 % (3320657)Success in time 0.029 s
% 0.22/0.28 % Vampire exiting
%------------------------------------------------------------------------------