%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO366^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 08:47:32 AM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO366^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n008.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 16:49:54 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.07/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.27 % (3412508)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.27 % (3412516)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2966347116:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.20/0.27 % (3412516) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3412508-3412516"...
% 0.20/0.27 % (3412516)...printing done.
% 0.20/0.27 % (3412516)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% 0.20/0.27 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.20/0.27 thf(func_def_0, type, cP: ($o > $o)).
% 0.20/0.27 thf(func_def_1, type, cA: $o).
% 0.20/0.27 thf(func_def_3, type, vIMP: ($o > $o > $o)).
% 0.20/0.27 thf(f1,conjecture,(
% 0.20/0.27 (cP @ cA => cA) => (cP @ $true)),
% 0.20/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTRIVEXT4)).
% 0.20/0.27 thf(f2,negated_conjecture,(
% 0.20/0.27 ~((cP @ cA => cA) => (cP @ $true))),
% 0.20/0.27 inference(negated_conjecture,[status(cth)],[f1])).
% 0.20/0.27 thf(f3,plain,(
% 0.20/0.27 ~((cP @ cA => cA) => (cP @ $true))),
% 0.20/0.27 inference(rectify,[],[f2])).
% 0.20/0.27 thf(f4,plain,(
% 0.20/0.27 ~((((cP @ (cA => cA))) = $true) => (((cP @ $true)) = $true))),
% 0.20/0.27 inference(fool_elimination,[],[f3])).
% 0.20/0.27 thf(f5,plain,(
% 0.20/0.27 (((cP @ $true)) != $true) & (((cP @ (cA => cA))) = $true)),
% 0.20/0.27 inference(ennf_transformation,[],[f4])).
% 0.20/0.27 thf(f6,plain,(
% 0.20/0.27 (((cP @ (cA => cA))) = $true)),
% 0.20/0.27 inference(cnf_transformation,[],[f5])).
% 0.20/0.27 thf(f7,plain,(
% 0.20/0.27 (((cP @ $true)) != $true)),
% 0.20/0.27 inference(cnf_transformation,[],[f5])).
% 0.20/0.27 thf(f9,plain,(
% 0.20/0.27 (((cP @ $true)) = $true)),
% 0.20/0.27 inference(boolean_simplification,[],[f6])).
% 0.20/0.27 thf(f11,definition,(
% 0.20/0.27 spl0_1 <=> (((cP @ $true)) = $true)),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition])).
% 0.20/0.27 thf(f14,plain,(
% 0.20/0.27 ~spl0_1),
% 0.20/0.27 inference(avatar_split_clause,[],[f7,f11])).
% 0.20/0.27 thf(f15,plain,(
% 0.20/0.27 spl0_1),
% 0.20/0.27 inference(avatar_split_clause,[],[f9,f11])).
% 0.20/0.27 cnf(s1, plain, ~spl0_1, inference(sat_conversion,[],[f14])).
% 0.20/0.27 cnf(s2, plain, spl0_1, inference(sat_conversion,[],[f15])).
% 0.20/0.27 cnf(s3, plain, $false, inference(rat,[],[s1,s2])).
% 0.20/0.27 thf(f16,plain,(
% 0.20/0.27 $false),
% 0.20/0.27 inference(avatar_sat_refutation,[],[s3])).
% 0.20/0.27 % SZS output end Proof for theBenchmark
% 0.20/0.27 % (3412516)------------------------------
% 0.20/0.27 % (3412516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (3412516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (3412516)CaDiCaL version: 2.1.3
% 0.20/0.27 % (3412516)Termination reason: Refutation
% 0.20/0.27 % (3412516)Time elapsed: 0.001 s
% 0.20/0.27 % (3412516)Peak memory usage: 12 MB
% 0.20/0.27 % (3412516)Instructions burned: 1 (million)
% 0.20/0.27 % (3412508)Success in time 0.026 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------