%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR151^1 : 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 : n016.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 07:47:22 AM UTC 2026
% Result : Theorem 0.13s 0.24s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR151^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.16 % Computer : n016.cluster.edu
% 0.13/0.16 % Model : x86_64 x86_64
% 0.13/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.16 % Memory : 8046.5625MB
% 0.13/0.16 % OS : Linux 6.8.0-71-generic
% 0.13/0.16 % CPULimit : 300
% 0.13/0.16 % WCLimit : 300
% 0.13/0.16 % DateTime : Tue Sep 29 18:02:34 UTC 2026
% 0.13/0.16 % CPUTime :
% 0.13/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.19 Running first-order model finding
% 0.13/0.19 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
% 0.13/0.24 % (700037)Will run a generic schedule for satisfiability detection.
% 0.13/0.24 % (700051)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1143951746_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.24 % Exception at run slice level
% 0.13/0.24 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.24 % (700052)% WARNING: option uhcvi not known.
% 0.13/0.24 % (700052)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3049160630:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.24 % (700053)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3673652437:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.24 % (700054)dis+10_1_sil=32000:sp=arity:random_seed=2791200894:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.24 % (700055)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2443355727:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.24 % (700052)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.13/0.24 % (700052)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.13/0.24 % (700055)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.13/0.24 % (700056)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1308770072:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.24 % (700057)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3565166313:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.24 % (700055) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-700037-700055"...
% 0.13/0.24 % (700056) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-700037-700056"...
% 0.13/0.24 % (700052) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-700037-700052"...
% 0.13/0.24 % (700054) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-700037-700054"...
% 0.13/0.24 % (700055)...printing done.
% 0.13/0.24 % (700056)...printing done.
% 0.13/0.24 % (700052)...printing done.
% 0.13/0.24 % (700054)...printing done.
% 0.13/0.24 % (700055)Refutation found. Thanks to Tanya!
% 0.13/0.24 % SZS status Theorem for theBenchmark
% 0.13/0.24 % SZS output start Proof for theBenchmark
% 0.13/0.24 thf(type_def_5, type, num: $tType).
% 0.13/0.24 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.13/0.24 thf(func_def_0, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.13/0.24 thf(func_def_4, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.13/0.24 thf(func_def_5, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.13/0.24 thf(func_def_8, type, vAND: ($o > $o > $o)).
% 0.13/0.24 thf(f1,axiom,(
% 0.13/0.24 (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))),
% 0.13/0.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax)).
% 0.13/0.24 thf(f2,conjecture,(
% 0.13/0.24 (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))),
% 0.13/0.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.13/0.24 thf(f3,negated_conjecture,(
% 0.13/0.24 ~(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))),
% 0.13/0.24 inference(negated_conjecture,[status(cth)],[f2])).
% 0.13/0.24 thf(f4,plain,(
% 0.13/0.24 (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))),
% 0.13/0.24 inference(rectify,[],[f1])).
% 0.13/0.24 thf(f5,plain,(
% 0.13/0.24 (((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)))) = $true)),
% 0.13/0.24 inference(fool_elimination,[],[f4])).
% 0.13/0.24 thf(f6,plain,(
% 0.13/0.24 ~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.13/0.24 inference(rectify,[],[f3])).
% 0.13/0.24 thf(f7,plain,(
% 0.13/0.24 ~ ($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)))))),
% 0.13/0.24 inference(fool_elimination,[],[f6])).
% 0.13/0.24 thf(f8,plain,(
% 0.13/0.24 ($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)))))),
% 0.13/0.24 inference(flattening,[],[f7])).
% 0.13/0.24 thf(f9,plain,(
% 0.13/0.24 (((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)))) = $true)),
% 0.13/0.24 inference(cnf_transformation,[],[f5])).
% 0.13/0.24 thf(f10,plain,(
% 0.13/0.24 ($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)))))),
% 0.13/0.24 inference(cnf_transformation,[],[f8])).
% 0.13/0.24 thf(f12,definition,(
% 0.13/0.24 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.13/0.24 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.13/0.24 thf(f16,plain,(
% 0.13/0.24 ($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)) = $false)),
% 0.13/0.24 inference(constrained_superposition,[],[f10,f12])).
% 0.13/0.24 thf(f22,plain,(
% 0.13/0.24 ($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)) = $false)),
% 0.13/0.24 inference(boolean_simplification,[],[f16])).
% 0.13/0.24 thf(f29,definition,(
% 0.13/0.24 spl0_1 <=> (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.13/0.24 introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition])).
% 0.13/0.24 thf(f31,plain,(
% 0.13/0.24 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl0_1),
% 0.13/0.24 inference(avatar_component_clause,[],[f29])).
% 0.13/0.24 thf(f42,definition,(
% 0.13/0.24 spl0_4 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))))),
% 0.13/0.24 introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition])).
% 0.13/0.24 thf(f44,plain,(
% 0.13/0.24 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) | spl0_4),
% 0.13/0.24 inference(avatar_component_clause,[],[f42])).
% 0.13/0.24 thf(f45,plain,(
% 0.13/0.24 spl0_1 | ~spl0_4),
% 0.13/0.24 inference(avatar_split_clause,[],[f22,f42,f29])).
% 0.13/0.24 thf(f51,plain,(
% 0.13/0.24 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & $true)))) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.13/0.24 inference(constrained_superposition,[],[f9,f12])).
% 0.13/0.24 thf(f56,plain,(
% 0.13/0.24 ($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)) = $false)),
% 0.13/0.24 inference(boolean_simplification,[],[f51])).
% 0.13/0.24 thf(f59,plain,(
% 0.13/0.24 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | spl0_4),
% 0.13/0.24 inference(forward_subsumption_resolution,[],[f56,f44])).
% 0.13/0.24 thf(f62,plain,(
% 0.13/0.24 spl0_1 | spl0_4),
% 0.13/0.24 inference(avatar_split_clause,[],[f59,f42,f29])).
% 0.13/0.24 thf(f64,plain,(
% 0.13/0.24 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & $false)))) | ~spl0_1),
% 0.13/0.24 inference(constrained_superposition,[],[f9,f31])).
% 0.13/0.24 thf(f65,plain,(
% 0.13/0.24 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))))) | ~spl0_1),
% 0.13/0.24 inference(constrained_superposition,[],[f10,f31])).
% 0.13/0.24 thf(f66,plain,(
% 0.13/0.24 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | ~spl0_1),
% 0.13/0.24 inference(boolean_simplification,[],[f65])).
% 0.13/0.24 thf(f67,plain,(
% 0.13/0.24 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | ~spl0_1),
% 0.13/0.24 inference(boolean_simplification,[],[f64])).
% 0.13/0.24 thf(f69,plain,(
% 0.13/0.24 $false | ~spl0_1),
% 0.13/0.24 inference(forward_subsumption_resolution,[],[f67,f66])).
% 0.13/0.24 thf(f70,plain,(
% 0.13/0.24 ~spl0_1),
% 0.13/0.24 inference(avatar_contradiction_clause,[],[f69])).
% 0.13/0.24 cnf(s2, plain, spl0_1 | ~spl0_4, inference(sat_conversion,[],[f45])).
% 0.13/0.24 cnf(s6, plain, spl0_1 | spl0_4, inference(sat_conversion,[],[f62])).
% 0.13/0.24 cnf(s7, plain, ~spl0_1, inference(sat_conversion,[],[f70])).
% 0.13/0.24 cnf(s8, plain, spl0_4, inference(rat,[],[s6,s7])).
% 0.13/0.24 cnf(s10, plain, $false, inference(rat,[],[s2,s8,s7])).
% 0.13/0.24 thf(f71,plain,(
% 0.13/0.24 $false),
% 0.13/0.24 inference(avatar_sat_refutation,[],[s10])).
% 0.13/0.24 % SZS output end Proof for theBenchmark
% 0.13/0.24 % (700055)------------------------------
% 0.13/0.24 % (700055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.24 % (700055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.24 % (700055)CaDiCaL version: 2.1.3
% 0.13/0.24 % (700055)Termination reason: Refutation
% 0.13/0.24 % (700055)Time elapsed: 0.003 s
% 0.13/0.24 % (700055)Peak memory usage: 12 MB
% 0.13/0.24 % (700055)Instructions burned: 4 (million)
% 0.13/0.24 % (700037)Success in time 0.046 s
% 0.13/0.24 % Vampire exiting
%------------------------------------------------------------------------------