%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR122^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 07:47:03 AM UTC 2026
% Result : Theorem 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR122^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n020.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 17:55:35 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
% 0.09/0.23 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
% 0.09/0.25 % (1386232)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.09/0.25 % (1386240)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=1690894888: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)
% 0.09/0.25 % (1386240) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1386232-1386240"...
% 0.09/0.25 % (1386240)...printing done.
% 0.09/0.25 % (1386240)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Theorem for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% 0.09/0.25 thf(type_def_5, type, num: $tType).
% 0.09/0.25 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.09/0.25 thf(func_def_0, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.09/0.25 thf(func_def_4, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.09/0.25 thf(func_def_5, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.09/0.25 thf(func_def_10, type, vAND: ($o > $o > $o)).
% 0.09/0.25 thf(f1,axiom,(
% 0.09/0.25 (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.09/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax)).
% 0.09/0.25 thf(f2,axiom,(
% 0.09/0.25 (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.09/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001)).
% 0.09/0.25 thf(f3,axiom,(
% 0.09/0.25 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ $true)),
% 0.09/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002)).
% 0.09/0.25 thf(f4,conjecture,(
% 0.09/0.25 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.09/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.09/0.25 thf(f5,negated_conjecture,(
% 0.09/0.25 ~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.09/0.25 inference(negated_conjecture,[status(cth)],[f4])).
% 0.09/0.25 thf(f6,plain,(
% 0.09/0.25 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ $true)),
% 0.09/0.25 inference(rectify,[],[f3])).
% 0.09/0.25 thf(f7,plain,(
% 0.09/0.25 ! [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ X0 @ $true)) = $true)),
% 0.09/0.25 inference(fool_elimination,[],[f6])).
% 0.09/0.25 thf(f8,plain,(
% 0.09/0.25 (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.09/0.25 inference(rectify,[],[f1])).
% 0.09/0.25 thf(f9,plain,(
% 0.09/0.25 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 0.09/0.25 inference(fool_elimination,[],[f8])).
% 0.09/0.25 thf(f10,plain,(
% 0.09/0.25 ~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.09/0.25 inference(rectify,[],[f5])).
% 0.09/0.25 thf(f11,plain,(
% 0.09/0.25 ~ ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))))),
% 0.09/0.25 inference(fool_elimination,[],[f10])).
% 0.09/0.25 thf(f12,plain,(
% 0.09/0.25 (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.09/0.25 inference(rectify,[],[f2])).
% 0.09/0.25 thf(f13,plain,(
% 0.09/0.25 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 0.09/0.25 inference(fool_elimination,[],[f12])).
% 0.09/0.25 thf(f14,plain,(
% 0.09/0.25 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))))),
% 0.09/0.25 inference(flattening,[],[f11])).
% 0.09/0.25 thf(f15,plain,(
% 0.09/0.25 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))))),
% 0.09/0.25 inference(cnf_transformation,[],[f14])).
% 0.09/0.25 thf(f16,plain,(
% 0.09/0.25 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 0.09/0.25 inference(cnf_transformation,[],[f13])).
% 0.09/0.25 thf(f17,plain,(
% 0.09/0.25 ( ! [X0 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ $true)) = $true)) )),
% 0.09/0.25 inference(cnf_transformation,[],[f7])).
% 0.09/0.25 thf(f18,plain,(
% 0.09/0.25 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 0.09/0.25 inference(cnf_transformation,[],[f9])).
% 0.09/0.25 thf(f21,definition,(
% 0.09/0.25 spl0_1 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))))),
% 0.09/0.25 introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition])).
% 0.09/0.25 thf(f23,plain,(
% 0.09/0.25 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))))) | spl0_1),
% 0.09/0.25 inference(avatar_component_clause,[],[f21])).
% 0.09/0.25 thf(f24,plain,(
% 0.09/0.25 ~spl0_1),
% 0.09/0.25 inference(avatar_split_clause,[],[f15,f21])).
% 0.09/0.25 thf(f26,definition,(
% 0.09/0.25 spl0_2 <=> (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 0.09/0.25 introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition])).
% 0.09/0.25 thf(f28,plain,(
% 0.09/0.25 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true) | ~spl0_2),
% 0.09/0.25 inference(avatar_component_clause,[],[f26])).
% 0.09/0.25 thf(f29,plain,(
% 0.09/0.25 spl0_2),
% 0.09/0.25 inference(avatar_split_clause,[],[f18,f26])).
% 0.09/0.25 thf(f31,definition,(
% 0.09/0.25 spl0_3 <=> (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 0.09/0.25 introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition])).
% 0.09/0.25 thf(f34,plain,(
% 0.09/0.25 spl0_3),
% 0.09/0.25 inference(avatar_split_clause,[],[f16,f31])).
% 0.09/0.25 thf(f37,plain,(
% 0.09/0.25 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | ((((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $false) | spl0_1),
% 0.09/0.25 inference(fool_paramodulation,[],[f23])).
% 0.09/0.25 thf(f38,plain,(
% 0.09/0.25 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | spl0_1),
% 0.09/0.25 inference(and_proxy_clausification,[],[f37])).
% 0.09/0.25 thf(f41,plain,(
% 0.09/0.25 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | spl0_1),
% 0.09/0.25 inference(forward_subsumption_resolution,[],[f38,f17])).
% 0.09/0.25 thf(f47,definition,(
% 0.09/0.25 spl0_5 <=> (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.09/0.25 introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition])).
% 0.09/0.25 thf(f49,plain,(
% 0.09/0.25 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl0_5),
% 0.09/0.25 inference(avatar_component_clause,[],[f47])).
% 0.09/0.25 thf(f52,definition,(
% 0.09/0.25 spl0_6 <=> (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.09/0.25 introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition])).
% 0.09/0.25 thf(f60,plain,(
% 0.09/0.25 spl0_5 | spl0_6 | spl0_1),
% 0.09/0.25 inference(avatar_split_clause,[],[f41,f21,f52,f47])).
% 0.09/0.25 thf(f68,plain,(
% 0.09/0.25 ($true = $false) | (~spl0_2 | ~spl0_5)),
% 0.09/0.25 inference(forward_demodulation,[],[f28,f49])).
% 0.09/0.25 thf(f69,plain,(
% 0.09/0.25 $false | (~spl0_2 | ~spl0_5)),
% 0.09/0.25 inference(trivial_inequality_removal,[],[f68])).
% 0.09/0.25 thf(f70,plain,(
% 0.09/0.25 ~spl0_2 | ~spl0_5),
% 0.09/0.25 inference(avatar_contradiction_clause,[],[f69])).
% 0.09/0.25 thf(f71,definition,(
% 0.09/0.25 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) != $false) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) != $true) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) != $true) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.09/0.25 introduced(theory,[theory_tautology_sat_conflict])).
% 0.09/0.25 cnf(s1, plain, ~spl0_1, inference(sat_conversion,[],[f24])).
% 0.09/0.25 cnf(s2, plain, spl0_2, inference(sat_conversion,[],[f29])).
% 0.09/0.25 cnf(s3, plain, spl0_3, inference(sat_conversion,[],[f34])).
% 0.09/0.25 cnf(s6, plain, spl0_1 | spl0_5 | spl0_6, inference(sat_conversion,[],[f60])).
% 0.09/0.25 cnf(s8, plain, ~spl0_2 | ~spl0_5, inference(sat_conversion,[],[f70])).
% 0.09/0.25 cnf(s9, plain, ~spl0_2 | ~spl0_3 | spl0_5 | ~spl0_6, inference(sat_conversion,[],[f71])).
% 0.09/0.25 cnf(s10, plain, ~spl0_5, inference(rat,[],[s8,s2])).
% 0.09/0.25 cnf(s11, plain, ~spl0_6, inference(rat,[],[s9,s2,s3,s10])).
% 0.09/0.25 cnf(s12, plain, spl0_1, inference(rat,[],[s6,s10,s11])).
% 0.09/0.25 cnf(s13, plain, $false, inference(rat,[],[s1,s12])).
% 0.09/0.25 thf(f72,plain,(
% 0.09/0.25 $false),
% 0.09/0.25 inference(avatar_sat_refutation,[],[s13])).
% 0.09/0.25 % SZS output end Proof for theBenchmark
% 0.09/0.25 % (1386240)------------------------------
% 0.09/0.25 % (1386240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (1386240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (1386240)CaDiCaL version: 2.1.3
% 0.09/0.25 % (1386240)Termination reason: Refutation
% 0.09/0.25 % (1386240)Time elapsed: 0.002 s
% 0.09/0.25 % (1386240)Peak memory usage: 13 MB
% 0.09/0.25 % (1386240)Instructions burned: 3 (million)
% 0.09/0.25 % (1386232)Success in time 0.017 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------