%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR121^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 07:47:14 AM UTC 2026
% Result : Theorem 0.09s 0.16s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR121^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 17:54:04 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.13 Running first-order model finding
% 0.09/0.13 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
% 0.09/0.16 % (456819)Will run a generic schedule for satisfiability detection.
% 0.09/0.16 % (456825)% WARNING: option uhcvi not known.
% 0.09/0.16 % (456825)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3887975284:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.16 % (456824)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2932785648_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.16 % (456826)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2184630658:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.16 % (456827)dis+10_1_sil=32000:sp=arity:random_seed=2068285424:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.16 % (456828)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=875657409:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.16 % (456829)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1132709697:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.16 % (456825)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.16 % (456830)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2606109038:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.16 % (456828)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.16 % Exception at run slice level% (456825)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.09/0.16
% 0.09/0.16 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.09/0.16 % (456828) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-456819-456828"...
% 0.09/0.16 % (456829) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-456819-456829"...
% 0.09/0.16 % (456829)...printing done.
% 0.09/0.16 % (456828)...printing done.
% 0.09/0.16 % (456825) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-456819-456825"...
% 0.09/0.16 % (456829)Refutation found. Thanks to Tanya!
% 0.09/0.16 % SZS status Theorem for theBenchmark
% 0.09/0.16 % SZS output start Proof for theBenchmark
% 0.09/0.16 thf(type_def_5, type, num: $tType).
% 0.09/0.16 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.09/0.16 thf(func_def_0, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.09/0.16 thf(func_def_4, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.09/0.16 thf(func_def_5, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.09/0.16 thf(func_def_8, type, vNOT: ($o > $o)).
% 0.09/0.16 thf(func_def_9, type, vOR: ($o > $o > $o)).
% 0.09/0.16 thf(func_def_12, type, vAND: ($o > $o > $o)).
% 0.09/0.16 thf(f1,axiom,(
% 0.09/0.16 (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))))),
% 0.09/0.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax)).
% 0.09/0.16 thf(f2,conjecture,(
% 0.09/0.16 ? [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0))),
% 0.09/0.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.09/0.16 thf(f3,negated_conjecture,(
% 0.09/0.16 ~ ? [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0))),
% 0.09/0.16 inference(negated_conjecture,[status(cth)],[f2])).
% 0.09/0.16 thf(f4,plain,(
% 0.09/0.16 (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))))),
% 0.09/0.16 inference(rectify,[],[f1])).
% 0.09/0.16 thf(f5,plain,(
% 0.09/0.16 (((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)))))) = $true)),
% 0.09/0.16 inference(fool_elimination,[],[f4])).
% 0.09/0.16 thf(f6,plain,(
% 0.09/0.16 ~ ? [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0))),
% 0.09/0.16 inference(rectify,[],[f3])).
% 0.09/0.16 thf(f7,plain,(
% 0.09/0.16 ~ ? [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)))))),
% 0.09/0.16 inference(fool_elimination,[],[f6])).
% 0.09/0.16 thf(f8,plain,(
% 0.09/0.16 ! [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)))))),
% 0.09/0.16 inference(ennf_transformation,[],[f7])).
% 0.09/0.16 thf(f9,plain,(
% 0.09/0.16 (((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)))))) = $true)),
% 0.09/0.16 inference(cnf_transformation,[],[f5])).
% 0.09/0.16 thf(f10,plain,(
% 0.09/0.16 ( ! [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)))))) )),
% 0.09/0.16 inference(cnf_transformation,[],[f8])).
% 0.09/0.16 thf(f12,definition,(
% 0.09/0.16 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.09/0.16 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.09/0.16 thf(f16,plain,(
% 0.09/0.16 ( ! [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)) )),
% 0.09/0.16 inference(constrained_superposition,[],[f10,f12])).
% 0.09/0.16 thf(f22,plain,(
% 0.09/0.16 ( ! [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)) = $false)) )),
% 0.09/0.16 inference(boolean_simplification,[],[f16])).
% 0.09/0.16 thf(f38,plain,(
% 0.09/0.16 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ((~ $true) | (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))))))) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.09/0.16 inference(constrained_superposition,[],[f9,f12])).
% 0.09/0.16 thf(f55,plain,(
% 0.09/0.16 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ($false | (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))))))) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.09/0.16 inference(boolean_simplification,[],[f38])).
% 0.09/0.16 thf(f56,plain,(
% 0.09/0.16 ($true = ((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)) = $false)),
% 0.09/0.16 inference(boolean_simplification,[],[f55])).
% 0.09/0.16 thf(f57,plain,(
% 0.09/0.16 ($true = ((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)) = $false)),
% 0.09/0.16 inference(boolean_simplification,[],[f56])).
% 0.09/0.16 thf(f70,definition,(
% 0.09/0.16 spl0_4 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)))),
% 0.09/0.16 introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition])).
% 0.09/0.16 thf(f71,plain,(
% 0.09/0.16 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | spl0_4),
% 0.09/0.16 inference(avatar_component_clause,[],[f70])).
% 0.09/0.16 thf(f72,plain,(
% 0.09/0.16 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | ~spl0_4),
% 0.09/0.16 inference(avatar_component_clause,[],[f70])).
% 0.09/0.16 thf(f80,plain,(
% 0.09/0.16 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.09/0.16 inference(forward_subsumption_resolution,[],[f57,f22])).
% 0.09/0.16 thf(f84,definition,(
% 0.09/0.16 spl0_6 <=> (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.09/0.16 introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition])).
% 0.09/0.16 thf(f86,plain,(
% 0.09/0.16 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl0_6),
% 0.09/0.16 inference(avatar_component_clause,[],[f84])).
% 0.09/0.16 thf(f92,plain,(
% 0.09/0.16 spl0_6),
% 0.09/0.16 inference(avatar_split_clause,[],[f80,f84])).
% 0.09/0.16 thf(f95,plain,(
% 0.09/0.16 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))))) | ~spl0_6),
% 0.09/0.16 inference(constrained_superposition,[],[f10,f86])).
% 0.09/0.16 thf(f96,plain,(
% 0.09/0.16 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ((~ $false) | (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))))))) | ~spl0_6),
% 0.09/0.16 inference(constrained_superposition,[],[f9,f86])).
% 0.09/0.16 thf(f97,plain,(
% 0.09/0.16 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ($true | (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))))))) | ~spl0_6),
% 0.09/0.16 inference(boolean_simplification,[],[f96])).
% 0.09/0.16 thf(f98,plain,(
% 0.09/0.16 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $true)))) | ~spl0_6),
% 0.09/0.16 inference(boolean_simplification,[],[f97])).
% 0.09/0.16 thf(f99,plain,(
% 0.09/0.16 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | ~spl0_6),
% 0.09/0.16 inference(boolean_simplification,[],[f98])).
% 0.09/0.16 thf(f100,plain,(
% 0.09/0.16 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | ~spl0_6),
% 0.09/0.16 inference(boolean_simplification,[],[f95])).
% 0.09/0.16 thf(f102,plain,(
% 0.09/0.16 $false | (~spl0_4 | ~spl0_6)),
% 0.09/0.16 inference(forward_subsumption_resolution,[],[f100,f72])).
% 0.09/0.16 thf(f103,plain,(
% 0.09/0.16 ~spl0_4 | ~spl0_6),
% 0.09/0.16 inference(avatar_contradiction_clause,[],[f102])).
% 0.09/0.16 thf(f110,plain,(
% 0.09/0.16 $false | (spl0_4 | ~spl0_6)),
% 0.09/0.16 inference(forward_subsumption_resolution,[],[f99,f71])).
% 0.09/0.16 thf(f111,plain,(
% 0.09/0.16 spl0_4 | ~spl0_6),
% 0.09/0.16 inference(avatar_contradiction_clause,[],[f110])).
% 0.09/0.16 cnf(s7, plain, spl0_6, inference(sat_conversion,[],[f92])).
% 0.09/0.16 cnf(s9, plain, ~spl0_4 | ~spl0_6, inference(sat_conversion,[],[f103])).
% 0.09/0.16 cnf(s12, plain, spl0_4 | ~spl0_6, inference(sat_conversion,[],[f111])).
% 0.09/0.16 cnf(s14, plain, spl0_4, inference(rat,[],[s12,s7])).
% 0.09/0.16 cnf(s16, plain, $false, inference(rat,[],[s9,s7,s14])).
% 0.09/0.16 thf(f112,plain,(
% 0.09/0.16 $false),
% 0.09/0.16 inference(avatar_sat_refutation,[],[s16])).
% 0.09/0.16 % SZS output end Proof for theBenchmark
% 0.09/0.16 % (456829)------------------------------
% 0.09/0.16 % (456829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.16 % (456829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.16 % (456829)CaDiCaL version: 2.1.3
% 0.09/0.16 % (456829)Termination reason: Refutation
% 0.09/0.16 % (456829)Time elapsed: 0.002 s
% 0.09/0.16 % (456829)Peak memory usage: 12 MB
% 0.09/0.16 % (456829)Instructions burned: 5 (million)
% 0.09/0.16 % (456819)Success in time 0.026 s
% 0.09/0.16 % Vampire exiting
%------------------------------------------------------------------------------