%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO082^5 : 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 : n012.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 08:46:35 AM UTC 2026
% Result : Theorem 0.09s 0.17s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYO082^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 16:32:48 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.13 Running higher-order theorem proving
% 0.09/0.13 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
% 0.09/0.17 % (324165)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.09/0.17 % (324176)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.09/0.17 % (324176)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.09/0.17 % (324176)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=210063484:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.09/0.17 % (324172)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3272226020:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.09/0.17 % (324170)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3159179911:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.09/0.17 % (324174)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3345091506:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.09/0.17 % (324171)lrs+10_16_si=on:nwc=1.5:random_seed=1753115358:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.09/0.17 % (324175)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=136524173:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.09/0.17 % (324173)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=987953738: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)
% 0.09/0.17 % (324175) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-324165-324175"...
% 0.09/0.17 % (324174) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-324165-324174"...
% 0.09/0.17 % (324171) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-324165-324171"...
% 0.09/0.17 % (324170) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-324165-324170"...
% 0.09/0.17 % (324172) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-324165-324172"...
% 0.09/0.17 % (324173) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-324165-324173"...
% 0.09/0.17 % (324176) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-324165-324176"...
% 0.09/0.17 % (324175)...printing done.
% 0.09/0.17 % (324174)...printing done.
% 0.09/0.17 % (324171)...printing done.
% 0.09/0.17 % (324170)...printing done.
% 0.09/0.17 % (324173)...printing done.
% 0.09/0.17 % (324172)...printing done.
% 0.09/0.17 % (324176)...printing done.
% 0.09/0.17 % (324174)Refutation found. Thanks to Tanya!
% 0.09/0.17 % SZS status Theorem for theBenchmark
% 0.09/0.17 % SZS output start Proof for theBenchmark
% 0.09/0.17 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.09/0.17 thf(func_def_0, type, f: ($i > $i > $i)).
% 0.09/0.17 thf(func_def_1, type, cP: ($i > $o)).
% 0.09/0.17 thf(func_def_5, type, sK0: ($i > $i)).
% 0.09/0.17 thf(f1,conjecture,(
% 0.09/0.17 ? [X0 : $i] : ! [X1 : $i] : ((cP @ X0) => (cP @ (f @ X0 @ X1)))),
% 0.09/0.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBAFFLER_VARIANT)).
% 0.09/0.17 thf(f2,negated_conjecture,(
% 0.09/0.17 ~ ? [X0 : $i] : ! [X1 : $i] : ((cP @ X0) => (cP @ (f @ X0 @ X1)))),
% 0.09/0.17 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.17 thf(f3,plain,(
% 0.09/0.17 ~ ? [X0 : $i] : ! [X1 : $i] : ((cP @ X0) => (cP @ (f @ X0 @ X1)))),
% 0.09/0.17 inference(rectify,[],[f2])).
% 0.09/0.17 thf(f4,plain,(
% 0.09/0.17 ~ ? [X0 : $i] : ! [X1 : $i] : ((((cP @ X0)) = $true) => (((cP @ (f @ X0 @ X1))) = $true))),
% 0.09/0.17 inference(fool_elimination,[],[f3])).
% 0.09/0.17 thf(f5,plain,(
% 0.09/0.17 ! [X0 : $i] : ? [X1 : $i] : ((((cP @ (f @ X0 @ X1))) != $true) & (((cP @ X0)) = $true))),
% 0.09/0.17 inference(ennf_transformation,[],[f4])).
% 0.09/0.17 thf(f6,plain,(
% 0.09/0.17 ! [X0 : $i] : (($true != ((cP @ (f @ X0 @ (sK0 @ X0))))) & (((cP @ X0)) = $true))),
% 0.09/0.17 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f5])).
% 0.09/0.17 thf(f7,plain,(
% 0.09/0.17 ( ! [X0 : $i] : ((((cP @ X0)) = $true)) )),
% 0.09/0.17 inference(cnf_transformation,[],[f6])).
% 0.09/0.17 thf(f8,plain,(
% 0.09/0.17 ( ! [X0 : $i] : (($true != ((cP @ (f @ X0 @ (sK0 @ X0)))))) )),
% 0.09/0.17 inference(cnf_transformation,[],[f6])).
% 0.09/0.17 thf(f10,plain,(
% 0.09/0.17 $false),
% 0.09/0.17 inference(forward_subsumption_resolution,[],[f8,f7])).
% 0.09/0.17 % SZS output end Proof for theBenchmark
% 0.09/0.17 % (324174)------------------------------
% 0.09/0.17 % (324174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.17 % (324174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.17 % (324174)CaDiCaL version: 2.1.3
% 0.09/0.17 % (324174)Termination reason: Refutation
% 0.09/0.17 % (324174)Time elapsed: 0.001 s
% 0.09/0.17 % (324174)Peak memory usage: 11 MB
% 0.09/0.17 % (324165)Success in time 0.034 s
% 0.09/0.17 % Vampire exiting
%------------------------------------------------------------------------------