%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ140^2 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 08:21:16 AM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% 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/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n005.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 13:26:31 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.27 % (1650241)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (1650247)% WARNING: option uhcvi not known.
% 0.19/0.27 % (1650247)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3490350403:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (1650247)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.27 % (1650247)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.19/0.27 % (1650247) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1650241-1650247"...
% 0.19/0.27 % (1650247)...printing done.
% 0.19/0.27 % (1650247)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% 0.19/0.27 thf(type_def_5, type, syrup: $tType).
% 0.19/0.27 thf(type_def_6, type, beverage: $tType).
% 0.19/0.27 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 0.19/0.27 thf(func_def_0, type, coffee: beverage).
% 0.19/0.27 thf(func_def_1, type, mix: (beverage > syrup > beverage)).
% 0.19/0.27 thf(func_def_2, type, coffee_mixture: (syrup > beverage)).
% 0.19/0.27 thf(func_def_3, type, hot: (beverage > $o)).
% 0.19/0.27 thf(func_def_7, type, sK0: ((syrup > beverage) > syrup)).
% 0.19/0.27 thf(func_def_8, type, vNOT: ($o > $o)).
% 0.19/0.27 thf(func_def_10, type, db0: !>[X0: $tType]:(X0)).
% 0.19/0.27 thf(func_def_11, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.19/0.27 thf(f1,axiom,(
% 0.19/0.27 (coffee_mixture = ((mix @ coffee)))),
% 0.19/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',coffee_mixture_definition)).
% 0.19/0.27 thf(f2,axiom,(
% 0.19/0.27 ! [X0 : syrup] : ((hot @ (coffee_mixture @ X0)) & (((coffee_mixture @ X0)) = coffee))),
% 0.19/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',coffee_and_syrup_is_hot_coffee)).
% 0.19/0.27 thf(f3,conjecture,(
% 0.19/0.27 ? [X0 : (syrup > beverage)] : ! [X1 : syrup] : ? [X2 : beverage] : ((hot @ X2) & (X2 = coffee) & (X2 = ((X0 @ X1))))),
% 0.19/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_is_hot_coffee)).
% 0.19/0.27 thf(f4,negated_conjecture,(
% 0.19/0.27 ~ ? [X0 : (syrup > beverage)] : ! [X1 : syrup] : ? [X2 : beverage] : ((hot @ X2) & (X2 = coffee) & (X2 = ((X0 @ X1))))),
% 0.19/0.27 inference(negated_conjecture,[status(cth)],[f3])).
% 0.19/0.27 thf(f5,plain,(
% 0.19/0.27 ! [X0 : syrup] : ((hot @ (coffee_mixture @ X0)) & (((coffee_mixture @ X0)) = coffee))),
% 0.19/0.27 inference(rectify,[],[f2])).
% 0.19/0.27 thf(f6,plain,(
% 0.19/0.27 ! [X0 : syrup] : ((((hot @ (coffee_mixture @ X0))) = $true) & (coffee = ((coffee_mixture @ X0))))),
% 0.19/0.27 inference(fool_elimination,[],[f5])).
% 0.19/0.27 thf(f7,plain,(
% 0.19/0.27 ~ ? [X0 : (syrup > beverage)] : ! [X1 : syrup] : ? [X2 : beverage] : ((hot @ X2) & (X2 = coffee) & (X2 = ((X0 @ X1))))),
% 0.19/0.27 inference(rectify,[],[f4])).
% 0.19/0.27 thf(f8,plain,(
% 0.19/0.27 ~ ? [X0 : (syrup > beverage)] : ! [X1 : syrup] : ? [X2 : beverage] : ((((hot @ X2)) = $true) & (coffee = X2) & (((X0 @ X1)) = X2))),
% 0.19/0.27 inference(fool_elimination,[],[f7])).
% 0.19/0.27 thf(f9,plain,(
% 0.19/0.27 ! [X0 : (syrup > beverage)] : ? [X1 : syrup] : ! [X2 : beverage] : ((((hot @ X2)) != $true) | (coffee != X2) | (((X0 @ X1)) != X2))),
% 0.19/0.27 inference(ennf_transformation,[],[f8])).
% 0.19/0.27 thf(f10,plain,(
% 0.19/0.27 ! [X0 : (syrup > beverage)] : ! [X2 : beverage] : ((((hot @ X2)) != $true) | (coffee != X2) | (((X0 @ (sK0 @ X0))) != X2))),
% 0.19/0.27 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f9])).
% 0.19/0.28 thf(f11,plain,(
% 0.19/0.28 (coffee_mixture = ((mix @ coffee)))),
% 0.19/0.28 inference(cnf_transformation,[],[f1])).
% 0.19/0.28 thf(f12,plain,(
% 0.19/0.28 ( ! [X0 : syrup] : ((coffee = ((coffee_mixture @ X0)))) )),
% 0.19/0.28 inference(cnf_transformation,[],[f6])).
% 0.19/0.28 thf(f13,plain,(
% 0.19/0.28 ( ! [X0 : syrup] : ((((hot @ (coffee_mixture @ X0))) = $true)) )),
% 0.19/0.28 inference(cnf_transformation,[],[f6])).
% 0.19/0.28 thf(f14,plain,(
% 0.19/0.28 ( ! [X2 : beverage,X0 : (syrup > beverage)] : ((((hot @ X2)) != $true) | (coffee != X2) | (((X0 @ (sK0 @ X0))) != X2)) )),
% 0.19/0.28 inference(cnf_transformation,[],[f10])).
% 0.19/0.28 thf(f17,plain,(
% 0.19/0.28 ( ! [X0 : syrup] : (($true = ((hot @ (mix @ coffee @ X0))))) )),
% 0.19/0.28 inference(definition_unfolding,[],[f13,f11])).
% 0.19/0.28 thf(f18,plain,(
% 0.19/0.28 ( ! [X0 : syrup] : ((coffee = ((mix @ coffee @ X0)))) )),
% 0.19/0.28 inference(definition_unfolding,[],[f12,f11])).
% 0.19/0.28 thf(f19,plain,(
% 0.19/0.28 ( ! [X0 : (syrup > beverage)] : (($true != ((hot @ coffee))) | (coffee != ((X0 @ (sK0 @ X0))))) )),
% 0.19/0.28 inference(equality_resolution,[],[f14])).
% 0.19/0.28 thf(f21,definition,(
% 0.19/0.28 spl1_1 <=> ! [X0 : (syrup > beverage)] : (coffee != ((X0 @ (sK0 @ X0))))),
% 0.19/0.28 introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition])).
% 0.19/0.28 thf(f22,plain,(
% 0.19/0.28 ( ! [X0 : (syrup > beverage)] : ((coffee != ((X0 @ (sK0 @ X0))))) ) | ~spl1_1),
% 0.19/0.28 inference(avatar_component_clause,[],[f21])).
% 0.19/0.28 thf(f24,definition,(
% 0.19/0.28 spl1_2 <=> ($true = ((hot @ coffee)))),
% 0.19/0.28 introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition])).
% 0.19/0.28 thf(f27,plain,(
% 0.19/0.28 spl1_1 | ~spl1_2),
% 0.19/0.28 inference(avatar_split_clause,[],[f19,f24,f21])).
% 0.19/0.28 thf(f37,plain,(
% 0.19/0.28 ($true = ((hot @ coffee)))),
% 0.19/0.28 inference(forward_demodulation,[],[f17,f18])).
% 0.19/0.28 thf(f40,plain,(
% 0.19/0.28 spl1_2),
% 0.19/0.28 inference(avatar_split_clause,[],[f37,f24])).
% 0.19/0.28 thf(f41,plain,(
% 0.19/0.28 ( ! [X0 : (syrup > syrup),X1 : syrup] : ((coffee != coffee) | (((X0 @ (sK0 @ (^[Y0 : syrup]: (mix @ coffee @ (X0 @ Y0)))))) != X1)) ) | ~spl1_1),
% 0.19/0.28 inference(constrained_superposition,[],[f22,f18])).
% 0.19/0.28 thf(f44,plain,(
% 0.19/0.28 ( ! [X0 : (syrup > syrup),X1 : syrup] : ((((X0 @ (sK0 @ (^[Y0 : syrup]: (mix @ coffee @ (X0 @ Y0)))))) != X1)) ) | ~spl1_1),
% 0.19/0.28 inference(trivial_inequality_removal,[],[f41])).
% 0.19/0.28 thf(f45,plain,(
% 0.19/0.28 $false | ~spl1_1),
% 0.19/0.28 inference(flex-flex_simplification,[],[f44])).
% 0.19/0.28 thf(f46,plain,(
% 0.19/0.28 ~spl1_1),
% 0.19/0.28 inference(avatar_contradiction_clause,[],[f45])).
% 0.19/0.28 cnf(s1, plain, spl1_1 | ~spl1_2, inference(sat_conversion,[],[f27])).
% 0.19/0.28 cnf(s3, plain, spl1_2, inference(sat_conversion,[],[f40])).
% 0.19/0.28 cnf(s5, plain, ~spl1_1, inference(sat_conversion,[],[f46])).
% 0.19/0.28 cnf(s6, plain, $false, inference(rat,[],[s1,s3,s5])).
% 0.19/0.28 thf(f47,plain,(
% 0.19/0.28 $false),
% 0.19/0.28 inference(avatar_sat_refutation,[],[s6])).
% 0.19/0.28 % SZS output end Proof for theBenchmark
% 0.19/0.28 % (1650247)------------------------------
% 0.19/0.28 % (1650247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (1650247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (1650247)CaDiCaL version: 2.1.3
% 0.19/0.28 % (1650247)Termination reason: Refutation
% 0.19/0.28 % (1650247)Time elapsed: 0.002 s
% 0.19/0.28 % (1650247)Peak memory usage: 13 MB
% 0.19/0.28 % (1650247)Instructions burned: 2 (million)
% 0.19/0.28 % (1650241)Success in time 0.031 s
% 0.19/0.28 % Vampire exiting
%------------------------------------------------------------------------------