%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR128^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 07:47:05 AM UTC 2026
% Result : Theorem 0.09s 0.28s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR128^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n026.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 17:58:12 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.22 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
% 0.09/0.28 % (948253)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.09/0.28 % (948259)lrs+10_16_si=on:nwc=1.5:random_seed=3090926854:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.09/0.28 % (948259)Refutation not found, incomplete strategy
% 0.09/0.28 % (948259)------------------------------
% 0.09/0.28 % (948259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.28 % (948259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.28 % (948259)CaDiCaL version: 2.1.3
% 0.09/0.28 % (948259)Termination reason: Refutation not found, incomplete strategy
% 0.09/0.28 % (948259)Time elapsed: 0.001 s
% 0.09/0.28 % (948259)Peak memory usage: 12 MB
% 0.09/0.28 % (948259)Instructions burned: 1 (million)
% 0.09/0.28 % (948259)------------------------------
% 0.09/0.28 % (948259)------------------------------
% 0.09/0.28 % (948264)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.09/0.28 % (948264)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
% 0.09/0.28 % (948258)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3192487511:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.09/0.28 % (948260)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1693821857:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.09/0.28 % (948261)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=1567370921: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)
% 0.09/0.28 % (948263)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1138649128:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.09/0.28 % (948262)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2041982530:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.09/0.28 % (948264)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=3150750528:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.09/0.28 % (948258)Refutation not found, incomplete strategy
% 0.09/0.28 % (948258)------------------------------
% 0.09/0.28 % (948258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.28 % (948258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.28 % (948260)Refutation not found, incomplete strategy
% 0.09/0.28 % (948260)------------------------------
% 0.09/0.28 % (948260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.28 % (948258)CaDiCaL version: 2.1.3
% 0.09/0.28 % (948258)Termination reason: Refutation not found, incomplete strategy
% 0.09/0.28 % (948258)Time elapsed: 0.001 s
% 0.09/0.28 % (948258)Peak memory usage: 12 MB
% 0.09/0.28 % (948258)Instructions burned: 1 (million)
% 0.09/0.28 % (948260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.28 % (948260)CaDiCaL version: 2.1.3
% 0.09/0.28 % (948260)Termination reason: Refutation not found, incomplete strategy
% 0.09/0.28 % (948260)Time elapsed: 0.001 s
% 0.09/0.28 % (948260)Peak memory usage: 12 MB
% 0.09/0.28 % (948260)Instructions burned: 1 (million)
% 0.09/0.28 % (948262)Refutation not found, incomplete strategy
% 0.09/0.28 % (948262)------------------------------
% 0.09/0.28 % (948262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.28 % (948262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.28 % (948262)CaDiCaL version: 2.1.3
% 0.09/0.28 % (948262)Termination reason: Refutation not found, incomplete strategy
% 0.09/0.28 % (948262)Time elapsed: 0.001 s
% 0.09/0.28 % (948262)Peak memory usage: 11 MB
% 0.09/0.28 % (948262)Instructions burned: 1 (million)
% 0.09/0.28 % (948258)------------------------------
% 0.09/0.28 % (948258)------------------------------
% 0.09/0.28 % (948260)------------------------------
% 0.09/0.28 % (948260)------------------------------
% 0.09/0.28 % (948262)------------------------------
% 0.09/0.28 % (948262)------------------------------
% 0.09/0.28 % (948263) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-948253-948263"...
% 0.09/0.28 % (948261) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-948253-948261"...
% 0.09/0.28 % (948263)...printing done.
% 0.09/0.28 % (948261)...printing done.
% 0.09/0.28 % (948263)Refutation found. Thanks to Tanya!
% 0.09/0.28 % SZS status Theorem for theBenchmark
% 0.09/0.28 % SZS output start Proof for theBenchmark
% 0.09/0.28 thf(type_def_5, type, num: $tType).
% 0.09/0.28 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.09/0.28 thf(func_def_0, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.09/0.28 thf(func_def_4, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.09/0.28 thf(func_def_5, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.09/0.28 thf(func_def_10, type, vIMP: ($o > $o > $o)).
% 0.09/0.28 thf(f1,axiom,(
% 0.09/0.28 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.09/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax)).
% 0.09/0.28 thf(f2,axiom,(
% 0.09/0.28 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))),
% 0.09/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001)).
% 0.09/0.28 thf(f3,conjecture,(
% 0.09/0.28 ? [X1 : $i,X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1))),
% 0.09/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.09/0.28 thf(f4,negated_conjecture,(
% 0.09/0.28 ~ ? [X1 : $i,X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1))),
% 0.09/0.28 inference(negated_conjecture,[status(cth)],[f3])).
% 0.09/0.28 thf(f5,plain,(
% 0.09/0.28 ~ ? [X0 : $i,X1 : $i] : (holdsDuring_THFTYPE_IiooI @ X1 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))),
% 0.09/0.28 inference(rectify,[],[f4])).
% 0.09/0.28 thf(f6,plain,(
% 0.09/0.28 ~ ? [X1 : $i,X0 : $i] : ($true = ((holdsDuring_THFTYPE_IiooI @ X1 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))))),
% 0.09/0.28 inference(fool_elimination,[],[f5])).
% 0.09/0.28 thf(f7,plain,(
% 0.09/0.28 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.09/0.28 inference(rectify,[],[f1])).
% 0.09/0.28 thf(f8,plain,(
% 0.09/0.28 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.09/0.28 inference(fool_elimination,[],[f7])).
% 0.09/0.28 thf(f9,plain,(
% 0.09/0.28 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))),
% 0.09/0.28 inference(rectify,[],[f2])).
% 0.09/0.28 thf(f10,plain,(
% 0.09/0.28 ! [X0 : $i] : ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)))))),
% 0.09/0.28 inference(fool_elimination,[],[f9])).
% 0.09/0.28 thf(f11,plain,(
% 0.09/0.28 ! [X0 : $i,X1 : $i] : ($true != ((holdsDuring_THFTYPE_IiooI @ X1 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))))),
% 0.09/0.28 inference(ennf_transformation,[],[f6])).
% 0.09/0.28 thf(f12,plain,(
% 0.09/0.28 ( ! [X0 : $i,X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ X1 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))))) )),
% 0.09/0.28 inference(cnf_transformation,[],[f11])).
% 0.09/0.28 thf(f13,plain,(
% 0.09/0.28 ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)))))) )),
% 0.09/0.28 inference(cnf_transformation,[],[f10])).
% 0.09/0.28 thf(f14,plain,(
% 0.09/0.28 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.09/0.28 inference(cnf_transformation,[],[f8])).
% 0.09/0.28 thf(f16,definition,(
% 0.09/0.28 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.09/0.28 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.09/0.28 thf(f20,plain,(
% 0.09/0.28 ( ! [X0 : $i,X1 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ $true)) != $true) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1)) = $false)) )),
% 0.09/0.28 inference(constrained_superposition,[],[f12,f16])).
% 0.09/0.28 thf(f22,plain,(
% 0.09/0.28 ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))))) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0)) = $false)) )),
% 0.09/0.28 inference(constrained_superposition,[],[f13,f16])).
% 0.09/0.28 thf(f23,plain,(
% 0.09/0.28 ( ! [X0 : $i,X1 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1))) = $false) | ($true != $true)) )),
% 0.09/0.28 inference(constrained_superposition,[],[f12,f16])).
% 0.09/0.28 thf(f27,plain,(
% 0.09/0.28 ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)))) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0)) = $false)) )),
% 0.09/0.28 inference(boolean_simplification,[],[f22])).
% 0.09/0.28 thf(f30,plain,(
% 0.09/0.28 ( ! [X0 : $i,X1 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1))) = $false)) )),
% 0.09/0.28 inference(trivial_inequality_removal,[],[f23])).
% 0.09/0.28 thf(f36,definition,(
% 0.09/0.28 spl0_1 <=> ! [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ X0 @ $true)) != $true)),
% 0.09/0.28 introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition])).
% 0.09/0.28 thf(f37,plain,(
% 0.09/0.28 ( ! [X0 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ $true)) != $true)) ) | ~spl0_1),
% 0.09/0.28 inference(avatar_component_clause,[],[f36])).
% 0.09/0.28 thf(f39,definition,(
% 0.09/0.28 spl0_2 <=> ! [X1 : $i] : (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1)) = $false)),
% 0.09/0.28 introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition])).
% 0.09/0.28 thf(f40,plain,(
% 0.09/0.28 ( ! [X1 : $i] : ((((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1)) = $false)) ) | ~spl0_2),
% 0.09/0.28 inference(avatar_component_clause,[],[f39])).
% 0.09/0.28 thf(f41,plain,(
% 0.09/0.28 spl0_1 | spl0_2),
% 0.09/0.28 inference(avatar_split_clause,[],[f20,f39,f36])).
% 0.09/0.28 thf(f43,definition,(
% 0.09/0.28 spl0_3 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) = $true)),
% 0.09/0.28 introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition])).
% 0.09/0.28 thf(f44,plain,(
% 0.09/0.28 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) = $true) | ~spl0_3),
% 0.09/0.28 inference(avatar_component_clause,[],[f43])).
% 0.09/0.28 thf(f46,plain,(
% 0.09/0.28 ( ! [X0 : $i] : ((((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0)) = $false)) )),
% 0.09/0.28 inference(forward_subsumption_resolution,[],[f27,f12])).
% 0.09/0.28 thf(f57,plain,(
% 0.09/0.28 ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)))))) )),
% 0.09/0.28 inference(backward_demodulation,[],[f13,f46])).
% 0.09/0.28 thf(f58,plain,(
% 0.09/0.28 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) = $true)),
% 0.09/0.28 inference(backward_demodulation,[],[f14,f46])).
% 0.09/0.28 thf(f59,plain,(
% 0.09/0.28 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) = $true)),
% 0.09/0.28 inference(boolean_simplification,[],[f57])).
% 0.09/0.28 thf(f60,plain,(
% 0.09/0.28 spl0_3),
% 0.09/0.28 inference(avatar_split_clause,[],[f59,f43])).
% 0.09/0.28 thf(f61,plain,(
% 0.09/0.28 ( ! [X0 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ $false)) = $false)) ) | ~spl0_2),
% 0.09/0.28 inference(backward_demodulation,[],[f30,f40])).
% 0.09/0.28 thf(f62,plain,(
% 0.09/0.28 ($false = $true) | ~spl0_2),
% 0.09/0.28 inference(backward_demodulation,[],[f58,f61])).
% 0.09/0.28 thf(f63,plain,(
% 0.09/0.28 $false | ~spl0_2),
% 0.09/0.28 inference(trivial_inequality_removal,[],[f62])).
% 0.09/0.28 thf(f64,plain,(
% 0.09/0.28 ~spl0_2),
% 0.09/0.28 inference(avatar_contradiction_clause,[],[f63])).
% 0.09/0.28 thf(f66,plain,(
% 0.09/0.28 ( ! [X0 : $i] : (($true != $true) | (((holdsDuring_THFTYPE_IiooI @ X0 @ $true)) = $false)) ) | ~spl0_1),
% 0.09/0.28 inference(constrained_superposition,[],[f37,f16])).
% 0.09/0.28 thf(f70,plain,(
% 0.09/0.28 ( ! [X0 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ $true)) = $false)) ) | ~spl0_1),
% 0.09/0.28 inference(trivial_inequality_removal,[],[f66])).
% 0.09/0.28 thf(f71,plain,(
% 0.09/0.28 ($false = $true) | (~spl0_1 | ~spl0_3)),
% 0.09/0.28 inference(backward_demodulation,[],[f44,f70])).
% 0.09/0.28 thf(f73,plain,(
% 0.09/0.28 $false | (~spl0_1 | ~spl0_3)),
% 0.09/0.28 inference(trivial_inequality_removal,[],[f71])).
% 0.09/0.28 thf(f74,plain,(
% 0.09/0.28 ~spl0_1 | ~spl0_3),
% 0.09/0.28 inference(avatar_contradiction_clause,[],[f73])).
% 0.09/0.28 cnf(s1, plain, spl0_1 | spl0_2, inference(sat_conversion,[],[f41])).
% 0.09/0.28 cnf(s6, plain, spl0_3, inference(sat_conversion,[],[f60])).
% 0.09/0.28 cnf(s7, plain, ~spl0_2, inference(sat_conversion,[],[f64])).
% 0.09/0.28 cnf(s8, plain, ~spl0_1 | ~spl0_3, inference(sat_conversion,[],[f74])).
% 0.09/0.28 cnf(s9, plain, ~spl0_1, inference(rat,[],[s8,s6])).
% 0.09/0.28 cnf(s10, plain, $false, inference(rat,[],[s1,s7,s9])).
% 0.09/0.28 thf(f75,plain,(
% 0.09/0.28 $false),
% 0.09/0.28 inference(avatar_sat_refutation,[],[s10])).
% 0.09/0.28 % SZS output end Proof for theBenchmark
% 0.09/0.28 % (948263)------------------------------
% 0.09/0.28 % (948263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.28 % (948263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.28 % (948263)CaDiCaL version: 2.1.3
% 0.09/0.28 % (948263)Termination reason: Refutation
% 0.09/0.28 % (948263)Time elapsed: 0.004 s
% 0.09/0.28 % (948263)Peak memory usage: 13 MB
% 0.09/0.28 % (948263)Instructions burned: 5 (million)
% 0.09/0.28 % (948253)Success in time 0.048 s
% 0.09/0.28 % Vampire exiting
%------------------------------------------------------------------------------