%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO013^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 08:46:17 AM UTC 2026
% Result : Theorem 0.09s 0.28s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO013^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n002.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 16:24:08 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 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
% 0.09/0.28 % (1493966)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.09/0.28 % (1493974)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=4236507916: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)
% 0.09/0.28 % (1493974) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1493966-1493974"...
% 0.09/0.28 % (1493974)...printing done.
% 0.09/0.28 % (1493974)Refutation found. Thanks to Tanya!
% 0.09/0.28 % SZS status Theorem for theBenchmark
% 0.09/0.28 % SZS output start Proof for theBenchmark
% 0.09/0.28 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.09/0.28 thf(func_def_0, type, a: $o).
% 0.09/0.28 thf(func_def_1, type, b: $o).
% 0.09/0.28 thf(func_def_2, type, p: ($o > $o)).
% 0.09/0.28 thf(f1,conjecture,(
% 0.09/0.28 (b & a & (p @ a)) => (p @ b)),
% 0.09/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.09/0.28 thf(f2,negated_conjecture,(
% 0.09/0.28 ~((b & a & (p @ a)) => (p @ b))),
% 0.09/0.28 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.28 thf(f3,plain,(
% 0.09/0.28 ~((b & a & (p @ a)) => (p @ b))),
% 0.09/0.28 inference(rectify,[],[f2])).
% 0.09/0.28 thf(f4,plain,(
% 0.09/0.28 ~(((b = $true) & (a = $true) & (((p @ a)) = $true)) => (((p @ b)) = $true))),
% 0.09/0.28 inference(fool_elimination,[],[f3])).
% 0.09/0.28 thf(f5,plain,(
% 0.09/0.28 (((p @ b)) != $true) & ((b = $true) & (a = $true) & (((p @ a)) = $true))),
% 0.09/0.28 inference(ennf_transformation,[],[f4])).
% 0.09/0.28 thf(f6,plain,(
% 0.09/0.28 (b = $true) & (((p @ a)) = $true) & (a = $true) & (((p @ b)) != $true)),
% 0.09/0.28 inference(flattening,[],[f5])).
% 0.09/0.28 thf(f7,plain,(
% 0.09/0.28 (((p @ b)) != $true)),
% 0.09/0.28 inference(cnf_transformation,[],[f6])).
% 0.09/0.28 thf(f8,plain,(
% 0.09/0.28 (a = $true)),
% 0.09/0.28 inference(cnf_transformation,[],[f6])).
% 0.09/0.28 thf(f9,plain,(
% 0.09/0.28 (((p @ a)) = $true)),
% 0.09/0.28 inference(cnf_transformation,[],[f6])).
% 0.09/0.28 thf(f10,plain,(
% 0.09/0.28 (b = $true)),
% 0.09/0.28 inference(cnf_transformation,[],[f6])).
% 0.09/0.28 thf(f13,definition,(
% 0.09/0.28 spl0_1 <=> (a = $true)),
% 0.09/0.28 introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition])).
% 0.09/0.28 thf(f16,plain,(
% 0.09/0.28 spl0_1),
% 0.09/0.28 inference(avatar_split_clause,[],[f8,f13])).
% 0.09/0.28 thf(f18,definition,(
% 0.09/0.28 spl0_2 <=> (((p @ b)) = $true)),
% 0.09/0.28 introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition])).
% 0.09/0.28 thf(f21,plain,(
% 0.09/0.28 ~spl0_2),
% 0.09/0.28 inference(avatar_split_clause,[],[f7,f18])).
% 0.09/0.28 thf(f23,definition,(
% 0.09/0.28 spl0_3 <=> (((p @ a)) = $true)),
% 0.09/0.28 introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition])).
% 0.09/0.28 thf(f26,plain,(
% 0.09/0.28 spl0_3),
% 0.09/0.28 inference(avatar_split_clause,[],[f9,f23])).
% 0.09/0.28 thf(f28,definition,(
% 0.09/0.28 spl0_4 <=> (b = $true)),
% 0.09/0.28 introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition])).
% 0.09/0.28 thf(f31,plain,(
% 0.09/0.28 spl0_4),
% 0.09/0.28 inference(avatar_split_clause,[],[f10,f28])).
% 0.09/0.28 thf(f32,definition,(
% 0.09/0.28 (b != $true) | (a != $true) | (((p @ a)) != $true) | (((p @ b)) = $true)),
% 0.09/0.28 introduced(theory,[theory_tautology_sat_conflict])).
% 0.09/0.28 cnf(s1, plain, spl0_1, inference(sat_conversion,[],[f16])).
% 0.09/0.28 cnf(s2, plain, ~spl0_2, inference(sat_conversion,[],[f21])).
% 0.09/0.28 cnf(s3, plain, spl0_3, inference(sat_conversion,[],[f26])).
% 0.09/0.28 cnf(s4, plain, spl0_4, inference(sat_conversion,[],[f31])).
% 0.09/0.28 cnf(s5, plain, ~spl0_1 | spl0_2 | ~spl0_3 | ~spl0_4, inference(sat_conversion,[],[f32])).
% 0.09/0.29 cnf(s6, plain, ~spl0_1, inference(rat,[],[s5,s4,s3,s2])).
% 0.09/0.29 cnf(s7, plain, $false, inference(rat,[],[s1,s6])).
% 0.09/0.29 thf(f33,plain,(
% 0.09/0.29 $false),
% 0.09/0.29 inference(avatar_sat_refutation,[],[s7])).
% 0.09/0.29 % SZS output end Proof for theBenchmark
% 0.09/0.29 % (1493974)------------------------------
% 0.09/0.29 % (1493974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.29 % (1493974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.29 % (1493974)CaDiCaL version: 2.1.3
% 0.09/0.29 % (1493974)Termination reason: Refutation
% 0.09/0.29 % (1493974)Time elapsed: 0.001 s
% 0.09/0.29 % (1493974)Peak memory usage: 12 MB
% 0.09/0.29 % (1493974)Instructions burned: 1 (million)
% 0.09/0.29 % (1493966)Success in time 0.032 s
% 0.31/0.29 % Vampire exiting
%------------------------------------------------------------------------------