%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ140^1 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 08:20:57 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
% 0.00/0.02 % Problem : PUZ140^1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n013.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 13:26:36 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.22 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
% 0.20/0.27 % (2098330)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.27 % (2098335)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1220057562:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.27 % (2098335)Refutation not found, incomplete strategy
% 0.20/0.27 % (2098335)------------------------------
% 0.20/0.27 % (2098335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (2098335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (2098335)CaDiCaL version: 2.1.3
% 0.20/0.27 % (2098335)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.27 % (2098335)Time elapsed: 0.001 s
% 0.20/0.27 % (2098335)Peak memory usage: 12 MB
% 0.20/0.27 % (2098335)------------------------------
% 0.20/0.27 % (2098335)------------------------------
% 0.20/0.27 % (2098337)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1089531502:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.27 % (2098336)lrs+10_16_si=on:nwc=1.5:random_seed=1460903361:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.27 % (2098338)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=1068023305: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 % (2098339)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1535380740:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.27 % (2098340)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4161891850:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.27 % (2098337)Refutation not found, incomplete strategy
% 0.20/0.27 % (2098337)------------------------------
% 0.20/0.27 % (2098337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (2098337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (2098337)CaDiCaL version: 2.1.3
% 0.20/0.27 % (2098337)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.27 % (2098337)Time elapsed: 0.001 s
% 0.20/0.27 % (2098337)Peak memory usage: 12 MB
% 0.20/0.27 % (2098340) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2098330-2098340"...
% 0.20/0.27 % (2098336) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2098330-2098336"...
% 0.20/0.27 % (2098337)------------------------------
% 0.20/0.27 % (2098337)------------------------------
% 0.20/0.27 % (2098340)...printing done.
% 0.20/0.27 % (2098339) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2098330-2098339"...
% 0.20/0.27 % (2098338) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2098330-2098338"...
% 0.20/0.27 % (2098340)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, syrup: $tType).
% 0.20/0.27 thf(type_def_6, type, beverage: $tType).
% 0.20/0.27 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 0.20/0.27 thf(func_def_0, type, coffee: beverage).
% 0.20/0.27 thf(func_def_1, type, heat: (beverage > beverage)).
% 0.20/0.27 thf(func_def_2, type, hot: (beverage > $o)).
% 0.20/0.27 thf(func_def_3, type, mix: (beverage > syrup > beverage)).
% 0.20/0.27 thf(func_def_4, type, hot_mixture: (beverage > syrup > beverage)).
% 0.20/0.27 thf(func_def_5, type, cold_mixture: (beverage > syrup > beverage)).
% 0.20/0.27 thf(func_def_7, type, db1: !>[X0: $tType]:(X0)).
% 0.20/0.27 thf(func_def_8, type, db0: !>[X0: $tType]:(X0)).
% 0.20/0.27 thf(func_def_9, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.20/0.27 thf(func_def_12, type, sK0: ((beverage > syrup > beverage) > syrup)).
% 0.20/0.27 thf(func_def_13, type, vNOT: ($o > $o)).
% 0.20/0.27 thf(f1,axiom,(
% 0.20/0.27 ! [X0 : beverage] : (hot @ (heat @ X0))),
% 0.20/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',its_hot)).
% 0.20/0.27 thf(f4,conjecture,(
% 0.20/0.27 ? [X0 : (beverage > syrup > beverage)] : ! [X1 : syrup] : ? [X2 : beverage] : ((((X0 @ coffee @ X1)) = X2) & (hot @ X2))),
% 0.20/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hot_coffee)).
% 0.20/0.27 thf(f5,negated_conjecture,(
% 0.20/0.27 ~ ? [X0 : (beverage > syrup > beverage)] : ! [X1 : syrup] : ? [X2 : beverage] : ((((X0 @ coffee @ X1)) = X2) & (hot @ X2))),
% 0.20/0.27 inference(negated_conjecture,[status(cth)],[f4])).
% 0.20/0.27 thf(f8,plain,(
% 0.20/0.27 ! [X0 : beverage] : (hot @ (heat @ X0))),
% 0.20/0.27 inference(rectify,[],[f1])).
% 0.20/0.27 thf(f9,plain,(
% 0.20/0.27 ! [X0 : beverage] : (((hot @ (heat @ X0))) = $true)),
% 0.20/0.27 inference(fool_elimination,[],[f8])).
% 0.20/0.27 thf(f10,plain,(
% 0.20/0.27 ~ ? [X0 : (beverage > syrup > beverage)] : ! [X1 : syrup] : ? [X2 : beverage] : ((((X0 @ coffee @ X1)) = X2) & (hot @ X2))),
% 0.20/0.27 inference(rectify,[],[f5])).
% 0.20/0.27 thf(f11,plain,(
% 0.20/0.27 ~ ? [X0 : (beverage > syrup > beverage)] : ! [X1 : syrup] : ? [X2 : beverage] : ((((hot @ X2)) = $true) & (((X0 @ coffee @ X1)) = X2))),
% 0.20/0.27 inference(fool_elimination,[],[f10])).
% 0.20/0.27 thf(f12,plain,(
% 0.20/0.27 ! [X0 : (beverage > syrup > beverage)] : ? [X1 : syrup] : ! [X2 : beverage] : ((((hot @ X2)) != $true) | (((X0 @ coffee @ X1)) != X2))),
% 0.20/0.27 inference(ennf_transformation,[],[f11])).
% 0.20/0.27 thf(f13,plain,(
% 0.20/0.27 ! [X0 : (beverage > syrup > beverage)] : ! [X2 : beverage] : ((((hot @ X2)) != $true) | (((X0 @ coffee @ (sK0 @ X0))) != X2))),
% 0.20/0.27 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f12])).
% 0.20/0.27 thf(f14,plain,(
% 0.20/0.27 ( ! [X2 : beverage,X0 : (beverage > syrup > beverage)] : ((((hot @ X2)) != $true) | (((X0 @ coffee @ (sK0 @ X0))) != X2)) )),
% 0.20/0.27 inference(cnf_transformation,[],[f13])).
% 0.20/0.27 thf(f17,plain,(
% 0.20/0.27 ( ! [X0 : beverage] : ((((hot @ (heat @ X0))) = $true)) )),
% 0.20/0.27 inference(cnf_transformation,[],[f9])).
% 0.20/0.27 thf(f20,plain,(
% 0.20/0.27 ( ! [X0 : (beverage > syrup > beverage)] : (($true != ((hot @ (X0 @ coffee @ (sK0 @ X0)))))) )),
% 0.20/0.27 inference(equality_resolution,[],[f14])).
% 0.20/0.27 thf(f21,plain,(
% 0.20/0.27 ( ! [X0 : (beverage > syrup > beverage),X1 : beverage] : (($true != $true) | (((X0 @ coffee @ (sK0 @ (^[Y0 : beverage]: ((^[Y1 : syrup]: (heat @ (X0 @ Y0 @ Y1)))))))) != X1)) )),
% 0.20/0.27 inference(constrained_superposition,[],[f20,f17])).
% 0.20/0.27 thf(f22,plain,(
% 0.20/0.27 ( ! [X0 : (beverage > syrup > beverage),X1 : beverage] : ((((X0 @ coffee @ (sK0 @ (^[Y0 : beverage]: ((^[Y1 : syrup]: (heat @ (X0 @ Y0 @ Y1)))))))) != X1)) )),
% 0.20/0.27 inference(trivial_inequality_removal,[],[f21])).
% 0.20/0.27 thf(f23,plain,(
% 0.20/0.27 $false),
% 0.20/0.27 inference(flex-flex_simplification,[],[f22])).
% 0.20/0.27 % SZS output end Proof for theBenchmark
% 0.20/0.27 % (2098340)------------------------------
% 0.20/0.27 % (2098340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (2098340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (2098340)CaDiCaL version: 2.1.3
% 0.20/0.27 % (2098340)Termination reason: Refutation
% 0.20/0.27 % (2098340)Time elapsed: 0.001 s
% 0.20/0.27 % (2098340)Peak memory usage: 12 MB
% 0.20/0.27 % (2098340)Instructions burned: 1 (million)
% 0.20/0.27 % (2098330)Success in time 0.039 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------