%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR129^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 07:47:16 AM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR129^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n019.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 17:55:33 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.27 % (1148455)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (1148465)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2479050818:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.27 % (1148461)% WARNING: option uhcvi not known.
% 0.20/0.27 % (1148460)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2390807953_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.27 % (1148463)dis+10_1_sil=32000:sp=arity:random_seed=707869767:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27 % (1148464)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2310825798:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27 % (1148462)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4206827266:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27 % (1148461)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=623501678:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.27 % (1148464)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.27 % (1148461)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.27 % Exception at run slice level
% 0.20/0.27 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.27 % (1148461)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.20/0.27 % (1148465) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1148455-1148465"...
% 0.20/0.27 % (1148465)...printing done.
% 0.20/0.27 % (1148465)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% 0.20/0.27 thf(type_def_5, type, num: $tType).
% 0.20/0.27 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.20/0.27 thf(func_def_0, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.20/0.27 thf(func_def_7, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.20/0.27 thf(func_def_8, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.27 thf(func_def_10, type, parent_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.27 thf(func_def_12, type, vNOT: ($o > $o)).
% 0.20/0.27 thf(func_def_15, type, vAND: ($o > $o > $o)).
% 0.20/0.27 thf(func_def_16, type, db0: !>[X0: $tType]:(X0)).
% 0.20/0.27 thf(func_def_17, type, db1: !>[X0: $tType]:(X0)).
% 0.20/0.27 thf(func_def_18, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.20/0.27 thf(f1,axiom,(
% 0.20/0.27 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))),
% 0.20/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax)).
% 0.20/0.27 thf(f9,conjecture,(
% 0.20/0.27 ? [X0 : ($i > $i > $o)] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.20/0.27 thf(f10,negated_conjecture,(
% 0.20/0.27 ~ ? [X0 : ($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))),
% 0.20/0.27 inference(negated_conjecture,[status(cth)],[f9])).
% 0.20/0.27 thf(f11,plain,(
% 0.20/0.27 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))),
% 0.20/0.27 inference(rectify,[],[f1])).
% 0.20/0.27 thf(f12,plain,(
% 0.20/0.27 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))) = $true)),
% 0.20/0.27 inference(fool_elimination,[],[f11])).
% 0.20/0.27 thf(f27,plain,(
% 0.20/0.27 ~ ? [X0 : ($i > $i > $o)] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.27 inference(rectify,[],[f10])).
% 0.20/0.27 thf(f28,plain,(
% 0.20/0.27 ~ ? [X0 : ($i > $i > $o)] : ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))))),
% 0.20/0.27 inference(fool_elimination,[],[f27])).
% 0.20/0.27 thf(f29,plain,(
% 0.20/0.27 ! [X0 : ($i > $i > $o)] : ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))))),
% 0.20/0.27 inference(ennf_transformation,[],[f28])).
% 0.20/0.27 thf(f30,plain,(
% 0.20/0.27 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))) = $true)),
% 0.20/0.27 inference(cnf_transformation,[],[f12])).
% 0.20/0.27 thf(f38,plain,(
% 0.20/0.27 ( ! [X0 : ($i > $i > $o)] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))))) )),
% 0.20/0.27 inference(cnf_transformation,[],[f29])).
% 0.20/0.27 thf(f40,definition,(
% 0.20/0.27 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.20/0.27 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.20/0.27 thf(f43,plain,(
% 0.20/0.27 ( ! [X0 : $o] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 & ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ lMary_THFTYPE_i @ lBill_THFTYPE_i))))) | ($false = X0)) )),
% 0.20/0.27 inference(constrained_superposition,[],[f38,f40])).
% 0.20/0.27 thf(f54,plain,(
% 0.20/0.27 ( ! [X0 : $o] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 & $true)))) | ($false = X0)) )),
% 0.20/0.27 inference(beta-eta_normalization,[],[f43])).
% 0.20/0.27 thf(f55,plain,(
% 0.20/0.27 ( ! [X0 : $o] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ X0))) | ($false = X0)) )),
% 0.20/0.27 inference(boolean_simplification,[],[f54])).
% 0.20/0.27 thf(f66,definition,(
% 0.20/0.27 spl0_2 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)))),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition])).
% 0.20/0.27 thf(f67,plain,(
% 0.20/0.27 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | ~spl0_2),
% 0.20/0.27 inference(avatar_component_clause,[],[f66])).
% 0.20/0.27 thf(f68,plain,(
% 0.20/0.27 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | spl0_2),
% 0.20/0.27 inference(avatar_component_clause,[],[f66])).
% 0.20/0.27 thf(f70,plain,(
% 0.20/0.27 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | (((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i)) = $false)),
% 0.20/0.27 inference(constrained_superposition,[],[f30,f40])).
% 0.20/0.27 thf(f77,plain,(
% 0.20/0.27 (((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i)) = $false) | spl0_2),
% 0.20/0.27 inference(forward_subsumption_resolution,[],[f70,f68])).
% 0.20/0.27 thf(f80,plain,(
% 0.20/0.27 ( ! [X0 : ($i > $i > $i)] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false & ((^[Y0 : $i]: ((^[Y1 : $i]: (parent_THFTYPE_IiioI @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (lAnna_THFTYPE_i)))) @ Y0 @ Y1))))) @ lMary_THFTYPE_i @ lBill_THFTYPE_i))))) | (lMary_THFTYPE_i != ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))) ) | spl0_2),
% 0.20/0.27 inference(constrained_superposition,[],[f38,f77])).
% 0.20/0.27 thf(f81,plain,(
% 0.20/0.27 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | spl0_2),
% 0.20/0.27 inference(constrained_superposition,[],[f30,f77])).
% 0.20/0.27 thf(f82,plain,(
% 0.20/0.27 ( ! [X0 : ($i > $i > $i)] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false & (parent_THFTYPE_IiioI @ (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) @ lAnna_THFTYPE_i))))) | (lMary_THFTYPE_i != ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))) ) | spl0_2),
% 0.20/0.27 inference(beta-eta_normalization,[],[f80])).
% 0.20/0.27 thf(f83,plain,(
% 0.20/0.27 ( ! [X0 : ($i > $i > $i)] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | (lMary_THFTYPE_i != ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))) ) | spl0_2),
% 0.20/0.27 inference(boolean_simplification,[],[f82])).
% 0.20/0.27 thf(f87,plain,(
% 0.20/0.27 ( ! [X0 : ($i > $i > $i)] : ((lMary_THFTYPE_i != ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))) ) | spl0_2),
% 0.20/0.27 inference(forward_subsumption_resolution,[],[f83,f81])).
% 0.20/0.27 thf(f262,plain,(
% 0.20/0.27 $false | spl0_2),
% 0.20/0.27 inference(equality_resolution,[],[f87])).
% 0.20/0.27 thf(f263,plain,(
% 0.20/0.27 spl0_2),
% 0.20/0.27 inference(avatar_contradiction_clause,[],[f262])).
% 0.20/0.27 thf(f265,plain,(
% 0.20/0.27 ( ! [X0 : $o] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ X0)) = X0) | ($false = X0)) ) | ~spl0_2),
% 0.20/0.27 inference(constrained_superposition,[],[f67,f40])).
% 0.20/0.27 thf(f272,plain,(
% 0.20/0.27 ( ! [X0 : $o] : (($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ X0))) | ($false = X0) | ($false = X0)) ) | ~spl0_2),
% 0.20/0.27 inference(iff_proxy_clausification,[],[f265])).
% 0.20/0.27 thf(f274,plain,(
% 0.20/0.27 ( ! [X0 : $o] : (($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ X0))) | ($false = X0)) ) | ~spl0_2),
% 0.20/0.27 inference(duplicate_literal_removal,[],[f272])).
% 0.20/0.27 thf(f275,plain,(
% 0.20/0.27 ( ! [X0 : $o] : (($false = X0)) ) | ~spl0_2),
% 0.20/0.27 inference(forward_subsumption_resolution,[],[f274,f55])).
% 0.20/0.27 thf(f291,plain,(
% 0.20/0.27 ($true = $false) | ~spl0_2),
% 0.20/0.27 inference(constrained_superposition,[],[f30,f275])).
% 0.20/0.27 thf(f323,plain,(
% 0.20/0.27 $false | ~spl0_2),
% 0.20/0.27 inference(trivial_inequality_removal,[],[f291])).
% 0.20/0.27 thf(f324,plain,(
% 0.20/0.27 ~spl0_2),
% 0.20/0.27 inference(avatar_contradiction_clause,[],[f323])).
% 0.20/0.27 cnf(s8, plain, spl0_2, inference(sat_conversion,[],[f263])).
% 0.20/0.27 cnf(s18, plain, ~spl0_2, inference(sat_conversion,[],[f324])).
% 0.20/0.27 cnf(s24, plain, $false, inference(rat,[],[s8,s18])).
% 0.20/0.27 thf(f344,plain,(
% 0.20/0.27 $false),
% 0.20/0.27 inference(avatar_sat_refutation,[],[s24])).
% 0.20/0.27 % SZS output end Proof for theBenchmark
% 0.20/0.27 % (1148465)------------------------------
% 0.20/0.27 % (1148465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (1148465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (1148465)CaDiCaL version: 2.1.3
% 0.20/0.27 % (1148465)Termination reason: Refutation
% 0.20/0.27 % (1148465)Time elapsed: 0.009 s
% 0.20/0.27 % (1148465)Peak memory usage: 13 MB
% 0.20/0.27 % (1148465)Instructions burned: 27 (million)
% 0.20/0.27 % (1148455)Success in time 0.038 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------