%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ140^2 : TPTP v9.3.1. Released v6.4.0.
% 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 08:20:58 AM UTC 2026
% Result : Theorem 0.09s 0.27s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ140^2 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n013.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 13:26:06 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.22 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
% 0.09/0.27 % (2097477)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.09/0.27 % (2097486)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4222823668:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.09/0.27 % (2097486) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2097477-2097486"...
% 0.09/0.27 % (2097486)...printing done.
% 0.09/0.27 % (2097486)Refutation found. Thanks to Tanya!
% 0.09/0.27 % SZS status Theorem for theBenchmark
% 0.09/0.27 % SZS output start Proof for theBenchmark
% 0.09/0.27 thf(type_def_5, type, syrup: $tType).
% 0.09/0.27 thf(type_def_6, type, beverage: $tType).
% 0.09/0.27 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 0.09/0.27 thf(func_def_0, type, coffee: beverage).
% 0.09/0.27 thf(func_def_1, type, mix: (beverage > syrup > beverage)).
% 0.09/0.27 thf(func_def_2, type, coffee_mixture: (syrup > beverage)).
% 0.09/0.27 thf(func_def_3, type, hot: (beverage > $o)).
% 0.09/0.27 thf(func_def_7, type, sK0: ((syrup > beverage) > syrup)).
% 0.09/0.27 thf(f2,axiom,(
% 0.09/0.27 ! [X0 : syrup] : ((hot @ (coffee_mixture @ X0)) & (((coffee_mixture @ X0)) = coffee))),
% 0.09/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coffee_and_syrup_is_hot_coffee)).
% 0.09/0.27 thf(f3,conjecture,(
% 0.09/0.27 ? [X0 : (syrup > beverage)] : ! [X1 : syrup] : ? [X2 : beverage] : ((hot @ X2) & (X2 = coffee) & (X2 = ((X0 @ X1))))),
% 0.09/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_hot_coffee)).
% 0.09/0.27 thf(f4,negated_conjecture,(
% 0.09/0.27 ~ ? [X0 : (syrup > beverage)] : ! [X1 : syrup] : ? [X2 : beverage] : ((hot @ X2) & (X2 = coffee) & (X2 = ((X0 @ X1))))),
% 0.09/0.27 inference(negated_conjecture,[status(cth)],[f3])).
% 0.09/0.27 thf(f5,plain,(
% 0.09/0.27 ~ ? [X0 : (syrup > beverage)] : ! [X1 : syrup] : ? [X2 : beverage] : ((hot @ X2) & (X2 = coffee) & (X2 = ((X0 @ X1))))),
% 0.09/0.27 inference(rectify,[],[f4])).
% 0.09/0.27 thf(f6,plain,(
% 0.09/0.27 ~ ? [X0 : (syrup > beverage)] : ! [X1 : syrup] : ? [X2 : beverage] : ((coffee = X2) & (((hot @ X2)) = $true) & (((X0 @ X1)) = X2))),
% 0.09/0.27 inference(fool_elimination,[],[f5])).
% 0.09/0.27 thf(f7,plain,(
% 0.09/0.27 ! [X0 : syrup] : ((hot @ (coffee_mixture @ X0)) & (((coffee_mixture @ X0)) = coffee))),
% 0.09/0.27 inference(rectify,[],[f2])).
% 0.09/0.27 thf(f8,plain,(
% 0.09/0.27 ! [X0 : syrup] : ((coffee = ((coffee_mixture @ X0))) & (((hot @ (coffee_mixture @ X0))) = $true))),
% 0.09/0.27 inference(fool_elimination,[],[f7])).
% 0.09/0.27 thf(f9,plain,(
% 0.09/0.27 ! [X0 : (syrup > beverage)] : ? [X1 : syrup] : ! [X2 : beverage] : ((((X0 @ X1)) != X2) | (coffee != X2) | (((hot @ X2)) != $true))),
% 0.09/0.27 inference(ennf_transformation,[],[f6])).
% 0.09/0.27 thf(f10,plain,(
% 0.09/0.27 ! [X0 : (syrup > beverage)] : ! [X2 : beverage] : ((((X0 @ (sK0 @ X0))) != X2) | (coffee != X2) | (((hot @ X2)) != $true))),
% 0.09/0.27 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f9])).
% 0.09/0.27 thf(f11,plain,(
% 0.09/0.27 ( ! [X2 : beverage,X0 : (syrup > beverage)] : ((((X0 @ (sK0 @ X0))) != X2) | (coffee != X2) | (((hot @ X2)) != $true)) )),
% 0.09/0.27 inference(cnf_transformation,[],[f10])).
% 0.09/0.27 thf(f12,plain,(
% 0.09/0.27 ( ! [X0 : syrup] : ((((hot @ (coffee_mixture @ X0))) = $true)) )),
% 0.09/0.27 inference(cnf_transformation,[],[f8])).
% 0.09/0.27 thf(f13,plain,(
% 0.09/0.27 ( ! [X0 : syrup] : ((coffee = ((coffee_mixture @ X0)))) )),
% 0.09/0.27 inference(cnf_transformation,[],[f8])).
% 0.09/0.27 thf(f16,plain,(
% 0.09/0.27 ( ! [X0 : (syrup > beverage)] : (($true != ((hot @ (X0 @ (sK0 @ X0))))) | (coffee != ((X0 @ (sK0 @ X0))))) )),
% 0.22/0.27 inference(equality_resolution,[],[f11])).
% 0.22/0.27 thf(f17,plain,(
% 0.22/0.27 (coffee != coffee) | (((hot @ coffee)) != $true)),
% 0.22/0.27 inference(superposition,[],[f16,f13])).
% 0.22/0.27 thf(f18,plain,(
% 0.22/0.27 (((hot @ coffee)) != $true)),
% 0.22/0.27 inference(trivial_inequality_removal,[],[f17])).
% 0.22/0.27 thf(f19,plain,(
% 0.22/0.27 (((hot @ coffee)) = $true)),
% 0.22/0.27 inference(forward_demodulation,[],[f12,f13])).
% 0.22/0.27 thf(f20,plain,(
% 0.22/0.27 $false),
% 0.22/0.27 inference(forward_subsumption_resolution,[],[f19,f18])).
% 0.22/0.27 % SZS output end Proof for theBenchmark
% 0.22/0.27 % (2097486)------------------------------
% 0.22/0.27 % (2097486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.27 % (2097486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.27 % (2097486)CaDiCaL version: 2.1.3
% 0.22/0.27 % (2097486)Termination reason: Refutation
% 0.22/0.27 % (2097486)Time elapsed: 0.001 s
% 0.22/0.27 % (2097486)Peak memory usage: 12 MB
% 0.22/0.27 % (2097486)Instructions burned: 1 (million)
% 0.22/0.27 % (2097477)Success in time 0.031 s
% 0.22/0.27 % Vampire exiting
%------------------------------------------------------------------------------