%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR129^1 : 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 : n004.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 0.11s 0.26s
% Output : Refutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR129^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.17 % Computer : n004.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Sep 29 17:55:22 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 Running higher-order theorem proving
% 0.11/0.22 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
% 0.11/0.26 % (1632434)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.11/0.26 % (1632448)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=2759889229: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)
% 0.11/0.26 % (1632448) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1632434-1632448"...
% 0.11/0.26 % (1632452)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.11/0.26 % (1632452)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
% 0.11/0.26 % (1632448)...printing done.
% 0.11/0.26 % (1632448)Refutation found. Thanks to Tanya!
% 0.11/0.26 % SZS status Theorem for theBenchmark
% 0.11/0.26 % SZS output start Proof for theBenchmark
% 0.11/0.26 thf(type_def_5, type, num: $tType).
% 0.11/0.26 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.11/0.26 thf(func_def_0, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.11/0.26 thf(func_def_7, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.11/0.26 thf(func_def_8, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.11/0.26 thf(func_def_10, type, parent_THFTYPE_IiioI: ($i > $i > $o)).
% 0.11/0.26 thf(func_def_12, type, vNOT: ($o > $o)).
% 0.11/0.26 thf(func_def_15, type, vAND: ($o > $o > $o)).
% 0.11/0.26 thf(func_def_17, type, db0: !>[X0: $tType]:(X0)).
% 0.11/0.26 thf(func_def_18, type, db1: !>[X0: $tType]:(X0)).
% 0.11/0.26 thf(func_def_19, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.11/0.26 thf(func_def_20, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.11/0.26 thf(f3,axiom,(
% 0.11/0.26 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.11/0.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002)).
% 0.11/0.26 thf(f9,conjecture,(
% 0.11/0.26 ? [X0 : ($i > $i > $o)] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.11/0.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.11/0.26 thf(f10,negated_conjecture,(
% 0.11/0.26 ~ ? [X0 : ($i > $i > $o)] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.11/0.26 inference(negated_conjecture,[status(cth)],[f9])).
% 0.11/0.26 thf(f13,plain,(
% 0.11/0.26 ~ ? [X0 : ($i > $i > $o)] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.11/0.26 inference(rectify,[],[f10])).
% 0.11/0.26 thf(f14,plain,(
% 0.11/0.26 ~ ? [X0 : ($i > $i > $o)] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) = $true)),
% 0.11/0.26 inference(fool_elimination,[],[f13])).
% 0.11/0.26 thf(f15,plain,(
% 0.11/0.26 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.11/0.26 inference(rectify,[],[f3])).
% 0.11/0.26 thf(f16,plain,(
% 0.11/0.26 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.11/0.26 inference(fool_elimination,[],[f15])).
% 0.11/0.26 thf(f29,plain,(
% 0.11/0.26 ! [X0 : ($i > $i > $o)] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) != $true)),
% 0.11/0.26 inference(ennf_transformation,[],[f14])).
% 0.11/0.26 thf(f37,plain,(
% 0.11/0.26 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.11/0.26 inference(cnf_transformation,[],[f16])).
% 0.11/0.26 thf(f38,plain,(
% 0.11/0.26 ( ! [X0 : ($i > $i > $o)] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) != $true)) )),
% 0.11/0.26 inference(cnf_transformation,[],[f29])).
% 0.11/0.26 thf(f76,definition,(
% 0.11/0.26 spl0_8 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.11/0.26 introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition])).
% 0.11/0.26 thf(f78,plain,(
% 0.11/0.26 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true) | ~spl0_8),
% 0.11/0.26 inference(avatar_component_clause,[],[f76])).
% 0.11/0.26 thf(f79,plain,(
% 0.11/0.26 spl0_8),
% 0.11/0.26 inference(avatar_split_clause,[],[f37,f76])).
% 0.11/0.26 thf(f86,definition,(
% 0.11/0.26 spl0_10 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)))),
% 0.11/0.26 introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition])).
% 0.11/0.26 thf(f87,plain,(
% 0.11/0.26 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | spl0_10),
% 0.11/0.26 inference(avatar_component_clause,[],[f86])).
% 0.11/0.26 thf(f110,plain,(
% 0.11/0.26 ( ! [X0 : ($i > $i > $o)] : (($false = (((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) | ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)))) )),
% 0.11/0.26 inference(fool_paramodulation,[],[f38])).
% 0.11/0.26 thf(f111,plain,(
% 0.11/0.26 ( ! [X0 : ($i > $i > $o)] : ((((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | (((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)) )),
% 0.11/0.26 inference(and_proxy_clausification,[],[f110])).
% 0.11/0.26 thf(f115,definition,(
% 0.11/0.26 spl0_14 <=> ! [X0 : ($i > $i > $o)] : ((((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | (((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false))),
% 0.11/0.26 introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition])).
% 0.11/0.26 thf(f116,plain,(
% 0.11/0.26 ( ! [X0 : ($i > $i > $o)] : ((((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | (((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false)) ) | ~spl0_14),
% 0.11/0.26 inference(avatar_component_clause,[],[f115])).
% 0.11/0.26 thf(f117,plain,(
% 0.11/0.26 ~spl0_10 | spl0_14),
% 0.11/0.26 inference(avatar_split_clause,[],[f111,f115,f86])).
% 0.11/0.26 thf(f120,plain,(
% 0.11/0.26 ((((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ((((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl0_14),
% 0.11/0.26 inference(primitive_instantiation,[],[f116])).
% 0.11/0.26 thf(f132,plain,(
% 0.11/0.26 ($true = $false) | ($true = $false) | ~spl0_14),
% 0.11/0.26 inference(beta-eta_normalization,[],[f120])).
% 0.11/0.26 thf(f133,plain,(
% 0.11/0.26 ($true = $false) | ~spl0_14),
% 0.11/0.26 inference(duplicate_literal_removal,[],[f132])).
% 0.11/0.26 thf(f134,plain,(
% 0.11/0.26 $false | ~spl0_14),
% 0.11/0.26 inference(trivial_inequality_removal,[],[f133])).
% 0.11/0.26 thf(f135,plain,(
% 0.11/0.26 ~spl0_14),
% 0.11/0.26 inference(avatar_contradiction_clause,[],[f134])).
% 0.11/0.26 thf(f153,definition,(
% 0.11/0.26 spl0_17 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)))),
% 0.11/0.26 introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition])).
% 0.11/0.26 thf(f173,definition,(
% 0.11/0.26 spl0_20 <=> (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.11/0.26 introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition])).
% 0.11/0.26 thf(f175,plain,(
% 0.11/0.26 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl0_20),
% 0.11/0.26 inference(avatar_component_clause,[],[f173])).
% 0.11/0.26 thf(f184,plain,(
% 0.11/0.26 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | ~spl0_8),
% 0.11/0.26 inference(fool_paramodulation,[],[f78])).
% 0.11/0.26 thf(f185,plain,(
% 0.11/0.26 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | (~spl0_8 | spl0_10)),
% 0.11/0.26 inference(forward_subsumption_resolution,[],[f184,f87])).
% 0.11/0.26 thf(f186,plain,(
% 0.11/0.26 spl0_20 | ~spl0_8 | spl0_10),
% 0.11/0.26 inference(avatar_split_clause,[],[f185,f86,f76,f173])).
% 0.11/0.26 thf(f202,plain,(
% 0.11/0.26 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | (~spl0_8 | ~spl0_20)),
% 0.11/0.26 inference(superposition,[],[f78,f175])).
% 0.11/0.26 thf(f203,plain,(
% 0.11/0.26 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))))) | ~spl0_20),
% 0.11/0.26 inference(superposition,[],[f38,f175])).
% 0.11/0.26 thf(f204,plain,(
% 0.11/0.26 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | ~spl0_20),
% 0.11/0.26 inference(boolean_simplification,[],[f203])).
% 0.11/0.26 thf(f205,plain,(
% 0.11/0.26 spl0_17 | ~spl0_8 | ~spl0_20),
% 0.11/0.26 inference(avatar_split_clause,[],[f202,f173,f76,f153])).
% 0.11/0.26 thf(f206,plain,(
% 0.11/0.26 ~spl0_17 | ~spl0_20),
% 0.11/0.26 inference(avatar_split_clause,[],[f204,f173,f153])).
% 0.11/0.26 cnf(s8, plain, spl0_8, inference(sat_conversion,[],[f79])).
% 0.11/0.26 cnf(s13, plain, ~spl0_10 | spl0_14, inference(sat_conversion,[],[f117])).
% 0.11/0.26 cnf(s14, plain, ~spl0_14, inference(sat_conversion,[],[f135])).
% 0.11/0.26 cnf(s22, plain, ~spl0_8 | spl0_10 | spl0_20, inference(sat_conversion,[],[f186])).
% 0.11/0.26 cnf(s25, plain, ~spl0_8 | spl0_17 | ~spl0_20, inference(sat_conversion,[],[f205])).
% 0.11/0.26 cnf(s26, plain, ~spl0_17 | ~spl0_20, inference(sat_conversion,[],[f206])).
% 0.11/0.26 cnf(s27, plain, ~spl0_10, inference(rat,[],[s13,s14])).
% 0.11/0.26 cnf(s32, plain, spl0_20, inference(rat,[],[s22,s27,s8])).
% 0.11/0.26 cnf(s33, plain, ~spl0_17, inference(rat,[],[s26,s32])).
% 0.11/0.26 cnf(s34, plain, $false, inference(rat,[],[s25,s8,s32,s33])).
% 0.11/0.26 thf(f207,plain,(
% 0.11/0.26 $false),
% 0.11/0.26 inference(avatar_sat_refutation,[],[s34])).
% 0.11/0.26 % SZS output end Proof for theBenchmark
% 0.11/0.26 % (1632448)------------------------------
% 0.11/0.26 % (1632448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.26 % (1632448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.26 % (1632448)CaDiCaL version: 2.1.3
% 0.11/0.26 % (1632448)Termination reason: Refutation
% 0.11/0.26 % (1632448)Time elapsed: 0.004 s
% 0.11/0.26 % (1632448)Peak memory usage: 13 MB
% 0.11/0.26 % (1632448)Instructions burned: 9 (million)
% 0.11/0.26 % (1632434)Success in time 0.03 s
% 0.11/0.26 % Vampire exiting
%------------------------------------------------------------------------------