%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ082^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 08:20:51 AM UTC 2026
% Result : Theorem 0.22s 0.30s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ082^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n010.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 13:22:03 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 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
% 0.22/0.30 % (2833575)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.30 % (2833582)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1500340810:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.30 % (2833582)Refutation not found, incomplete strategy
% 0.22/0.30 % (2833582)------------------------------
% 0.22/0.30 % (2833582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.30 % (2833582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.30 % (2833582)CaDiCaL version: 2.1.3
% 0.22/0.30 % (2833582)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.30 % (2833582)Time elapsed: 0.001 s
% 0.22/0.30 % (2833582)Peak memory usage: 12 MB
% 0.22/0.30 % (2833582)------------------------------
% 0.22/0.30 % (2833582)------------------------------
% 0.22/0.30 % (2833586)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.30 % (2833586)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
% 0.22/0.30 % (2833585)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3910423379:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.30 % (2833580)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=729938017:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.30 % (2833581)lrs+10_16_si=on:nwc=1.5:random_seed=193476637:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.30 % (2833583)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=3521230048: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)
% 0.22/0.30 % (2833584)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3309363622:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.30 % (2833586)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=587113787:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.30 % (2833584)Refutation not found, incomplete strategy
% 0.22/0.30 % (2833584)------------------------------
% 0.22/0.30 % (2833584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.30 % (2833584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.30 % (2833581)Refutation not found, incomplete strategy
% 0.22/0.30 % (2833581)------------------------------
% 0.22/0.30 % (2833581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.30 % (2833584)CaDiCaL version: 2.1.3
% 0.22/0.30 % (2833580)Refutation not found, incomplete strategy
% 0.22/0.30 % (2833580)------------------------------
% 0.22/0.30 % (2833580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.30 % (2833584)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.30 % (2833584)Time elapsed: 0.001 s
% 0.22/0.30 % (2833581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.30 % (2833584)Peak memory usage: 11 MB
% 0.22/0.30 % (2833580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.30 % (2833581)CaDiCaL version: 2.1.3
% 0.22/0.30 % (2833581)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.30 % (2833581)Time elapsed: 0.001 s
% 0.22/0.30 % (2833580)CaDiCaL version: 2.1.3
% 0.22/0.30 % (2833581)Peak memory usage: 12 MB
% 0.22/0.30 % (2833580)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.30 % (2833580)Time elapsed: 0.001 s
% 0.22/0.30 % (2833580)Peak memory usage: 12 MB
% 0.22/0.30 % (2833585) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2833575-2833585"...
% 0.22/0.30 % (2833583) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2833575-2833583"...
% 0.22/0.30 % (2833584)------------------------------
% 0.22/0.30 % (2833584)------------------------------
% 0.22/0.30 % (2833581)------------------------------
% 0.22/0.30 % (2833581)------------------------------
% 0.22/0.30 % (2833580)------------------------------
% 0.22/0.30 % (2833580)------------------------------
% 0.22/0.30 % (2833586) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2833575-2833586"...
% 0.22/0.30 % (2833585)...printing done.
% 0.22/0.30 % (2833583)...printing done.
% 0.22/0.30 % (2833585)Refutation found. Thanks to Tanya!
% 0.22/0.30 % SZS status Theorem for theBenchmark
% 0.22/0.30 % SZS output start Proof for theBenchmark
% 0.22/0.30 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.22/0.30 thf(func_def_1, type, says: ($i > $o > $o)).
% 0.22/0.30 thf(func_def_3, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.22/0.30 thf(func_def_4, type, vIMP: ($o > $o > $o)).
% 0.22/0.30 thf(func_def_5, type, db0: !>[X0: $tType]:(X0)).
% 0.22/0.30 thf(func_def_6, type, vNOT: ($o > $o)).
% 0.22/0.30 thf(func_def_7, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.22/0.30 thf(func_def_10, type, sK0: $o).
% 0.22/0.30 thf(f1,axiom,(
% 0.22/0.30 (says @ peter @ ! [X0 : $o] : ((says @ peter @ X0) => ~X0))),
% 0.22/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)).
% 0.22/0.30 thf(f2,conjecture,(
% 0.22/0.30 ~ ! [X0 : $o] : ((says @ peter @ X0) => ~X0)),
% 0.22/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm)).
% 0.22/0.30 thf(f3,negated_conjecture,(
% 0.22/0.30 ~ ~ ! [X0 : $o] : ((says @ peter @ X0) => ~X0)),
% 0.22/0.30 inference(negated_conjecture,[status(cth)],[f2])).
% 0.22/0.30 thf(f4,plain,(
% 0.22/0.30 (says @ peter @ ! [X0 : $o] : ((says @ peter @ X0) => ~X0))),
% 0.22/0.30 inference(rectify,[],[f1])).
% 0.22/0.30 thf(f5,plain,(
% 0.22/0.30 (((says @ peter @ (!! @ $o @ (^[Y0 : $o]: ((says @ peter @ Y0) => (~ Y0)))))) = $true)),
% 0.22/0.30 inference(fool_elimination,[],[f4])).
% 0.22/0.30 thf(f6,plain,(
% 0.22/0.30 ~ ~ ! [X0 : $o] : ((says @ peter @ X0) => ~X0)),
% 0.22/0.30 inference(rectify,[],[f3])).
% 0.22/0.30 thf(f7,plain,(
% 0.22/0.30 ~ ~ ! [X0 : $o] : ((((says @ peter @ X0)) = $true) => ~ ($true = X0))),
% 0.22/0.30 inference(fool_elimination,[],[f6])).
% 0.22/0.30 thf(f8,plain,(
% 0.22/0.30 ! [X0 : $o] : ((((says @ peter @ X0)) = $true) => ($true != X0))),
% 0.22/0.30 inference(flattening,[],[f7])).
% 0.22/0.30 thf(f9,plain,(
% 0.22/0.30 ! [X0 : $o] : ((((says @ peter @ X0)) != $true) | ($true != X0))),
% 0.22/0.30 inference(ennf_transformation,[],[f8])).
% 0.22/0.30 thf(f10,plain,(
% 0.22/0.30 ( ! [X0 : $o] : ((((says @ peter @ X0)) != $true) | ($true != X0)) )),
% 0.22/0.30 inference(cnf_transformation,[],[f9])).
% 0.22/0.30 thf(f11,plain,(
% 0.22/0.30 (((says @ peter @ (!! @ $o @ (^[Y0 : $o]: ((says @ peter @ Y0) => (~ Y0)))))) = $true)),
% 0.22/0.30 inference(cnf_transformation,[],[f5])).
% 0.22/0.30 thf(f13,definition,(
% 0.22/0.30 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.22/0.30 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.22/0.30 thf(f14,plain,(
% 0.22/0.30 (((says @ peter @ $true)) != $true)),
% 0.22/0.30 inference(equality_resolution,[],[f10])).
% 0.22/0.30 thf(f18,plain,(
% 0.22/0.30 ($true != $true) | (((says @ peter @ $true)) = $false)),
% 0.22/0.30 inference(constrained_superposition,[],[f14,f13])).
% 0.22/0.30 thf(f19,plain,(
% 0.22/0.30 (((says @ peter @ $true)) = $true) | ($false = ((!! @ $o @ (^[Y0 : $o]: ((says @ peter @ Y0) => (~ Y0))))))),
% 0.22/0.30 inference(constrained_superposition,[],[f11,f13])).
% 0.22/0.30 thf(f25,plain,(
% 0.22/0.30 (((says @ peter @ $true)) = $false)),
% 0.22/0.30 inference(trivial_inequality_removal,[],[f18])).
% 0.22/0.30 thf(f26,plain,(
% 0.22/0.30 (((says @ peter @ $true)) = $true) | ($false = (((^[Y0 : $o]: ((says @ peter @ Y0) => (~ Y0))) @ sK0)))),
% 0.22/0.30 inference(sigma_proxy_clausification,[],[f19])).
% 0.22/0.30 thf(f27,plain,(
% 0.22/0.30 ((((says @ peter @ sK0) => (~ sK0))) = $false) | (((says @ peter @ $true)) = $true)),
% 0.22/0.30 inference(beta-eta_normalization,[],[f26])).
% 0.22/0.30 thf(f28,plain,(
% 0.22/0.30 (((says @ peter @ $true)) = $true) | (((~ sK0)) = $false)),
% 0.22/0.30 inference(imp_proxy_clausification,[],[f27])).
% 0.22/0.30 thf(f29,plain,(
% 0.22/0.30 (((says @ peter @ $true)) = $true) | (((says @ peter @ sK0)) = $true)),
% 0.22/0.30 inference(imp_proxy_clausification,[],[f27])).
% 0.22/0.30 thf(f30,plain,(
% 0.22/0.30 ($true = sK0) | (((says @ peter @ $true)) = $true)),
% 0.22/0.30 inference(not_proxy_clausification,[],[f28])).
% 0.22/0.30 thf(f35,plain,(
% 0.22/0.30 ($false = $true) | (((says @ peter @ sK0)) = $true)),
% 0.22/0.30 inference(forward_demodulation,[],[f29,f25])).
% 0.22/0.30 thf(f36,plain,(
% 0.22/0.30 (((says @ peter @ sK0)) = $true)),
% 0.22/0.30 inference(trivial_inequality_removal,[],[f35])).
% 0.22/0.30 thf(f37,plain,(
% 0.22/0.30 ($false = $true) | ($true = sK0)),
% 0.22/0.30 inference(forward_demodulation,[],[f30,f25])).
% 0.22/0.30 thf(f38,plain,(
% 0.22/0.30 ($true = sK0)),
% 0.22/0.30 inference(trivial_inequality_removal,[],[f37])).
% 0.22/0.30 thf(f39,plain,(
% 0.22/0.30 (((says @ peter @ $true)) = $true)),
% 0.22/0.30 inference(backward_demodulation,[],[f36,f38])).
% 0.22/0.30 thf(f40,plain,(
% 0.22/0.30 ($false = $true)),
% 0.22/0.30 inference(forward_demodulation,[],[f39,f25])).
% 0.22/0.30 thf(f41,plain,(
% 0.22/0.30 $false),
% 0.22/0.30 inference(trivial_inequality_removal,[],[f40])).
% 0.22/0.30 % SZS output end Proof for theBenchmark
% 0.22/0.30 % (2833585)------------------------------
% 0.22/0.30 % (2833585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.30 % (2833585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.30 % (2833585)CaDiCaL version: 2.1.3
% 0.22/0.30 % (2833585)Termination reason: Refutation
% 0.22/0.30 % (2833585)Time elapsed: 0.002 s
% 0.22/0.30 % (2833585)Peak memory usage: 12 MB
% 0.22/0.30 % (2833585)Instructions burned: 2 (million)
% 0.22/0.30 % (2833575)Success in time 0.044 s
% 0.22/0.30 % Vampire exiting
%------------------------------------------------------------------------------