%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR125_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 : Tue Sep 29 09:45:58 AM UTC 2026
% Result : Theorem 0.09s 0.24s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR125_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.16 % Computer : n003.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 23:36:58 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 Running first-order model finding
% 0.09/0.19 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
% 0.09/0.24 % (2131949)Will run a generic schedule for satisfiability detection.
% 0.09/0.24 % (2131955)% WARNING: option uhcvi not known.
% 0.09/0.24 % (2131957)dis+10_1_sil=32000:sp=arity:random_seed=1099069448:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.24 % (2131954)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2607969774_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.24 % (2131960)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3086135552:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.24 % (2131955)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2199428223:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.24 % (2131958)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3491043992:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.24 % (2131956)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4175754592:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.24 % (2131959)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=779993287:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.24 % Detected minimum model sizes of [1,1]
% 0.09/0.24 % Detected maximum model sizes of [max,2]
% 0.09/0.24 % TRYING [1,1]
% 0.09/0.24 % (2131958) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2131949-2131958"...
% 0.09/0.24 % TRYING [1,2]
% 0.09/0.24 % (2131957) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2131949-2131957"...
% 0.09/0.24 % TRYING [2,2]
% 0.09/0.24 % (2131960) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2131949-2131960"...
% 0.09/0.24 % (2131954)Cannot enumerate next child to try in an incomplete setup
% 0.09/0.24 % (2131954)Refutation not found, incomplete strategy
% 0.09/0.24 % (2131954)------------------------------
% 0.09/0.24 % (2131954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (2131954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (2131954)CaDiCaL version: 2.1.3
% 0.09/0.24 % (2131954)Termination reason: Refutation not found, incomplete strategy
% 0.09/0.24 % (2131954)Time elapsed: 0.001 s
% 0.09/0.24 % (2131954)Peak memory usage: 11 MB
% 0.09/0.24 % (2131954)Instructions burned: 1 (million)
% 0.09/0.24 % (2131959) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2131949-2131959"...
% 0.09/0.24 % (2131955) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2131949-2131955"...
% 0.09/0.24 % (2131958)...printing done.
% 0.09/0.24 % (2131954)------------------------------
% 0.09/0.24 % (2131954)------------------------------
% 0.09/0.24 % (2131957)...printing done.
% 0.09/0.24 % (2131955)...printing done.
% 0.09/0.24 % (2131956) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2131949-2131956"...
% 0.09/0.24 % (2131960)...printing done.
% 0.09/0.24 % (2131959)...printing done.
% 0.09/0.24 % (2131957)Refutation found. Thanks to Tanya!
% 0.09/0.24 % SZS status Theorem for theBenchmark
% 0.09/0.24 % SZS output start Proof for theBenchmark
% 0.09/0.24 tff(type_def_5, type, num: $tType).
% 0.09/0.24 tff(func_def_5, type, bG0: $i > $o).
% 0.09/0.24 tff(pred_def_1, type, holdsDuring_THFTYPE_IiooI: ($i * $o) > $o).
% 0.09/0.24 tff(f1,axiom,(
% 0.09/0.24 likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)),
% 0.09/0.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax)).
% 0.09/0.24 tff(f3,axiom,(
% 0.09/0.24 ! [X0 : $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),~likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0))),
% 0.09/0.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002)).
% 0.09/0.24 tff(f4,conjecture,(
% 0.09/0.24 holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false)),
% 0.09/0.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.09/0.24 tff(f5,negated_conjecture,(
% 0.09/0.24 ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false)),
% 0.09/0.24 inference(negated_conjecture,[status(cth)],[f4])).
% 0.09/0.24 tff(f6,definition,(
% 0.09/0.24 ! [X0 : $i] : (~likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) <=> (bG0(X0) = $true))),
% 0.09/0.24 introduced(definition,[new_symbols(definition,[bG0])],[fool_formula_definition])).
% 0.09/0.24 tff(f7,plain,(
% 0.09/0.24 ! [X0 : $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0(X0))),
% 0.09/0.24 inference(fool_elimination,[],[f3,f6])).
% 0.09/0.24 tff(f8,plain,(
% 0.09/0.24 ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false)),
% 0.09/0.24 inference(fool_elimination,[],[f5])).
% 0.09/0.24 tff(f9,plain,(
% 0.09/0.24 ~holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false)),
% 0.09/0.24 inference(flattening,[],[f8])).
% 0.09/0.24 tff(f10,plain,(
% 0.09/0.24 ! [X0 : $i] : ((~likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) | (bG0(X0) != $true)) & ((bG0(X0) = $true) | likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)))),
% 0.09/0.24 inference(nnf_transformation,[],[f6])).
% 0.09/0.24 tff(f12,plain,(
% 0.09/0.24 ( ! [X0 : $i] : ((bG0(X0) != $true) | ~likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)) )),
% 0.09/0.24 inference(cnf_transformation,[],[f10])).
% 0.09/0.24 tff(f13,plain,(
% 0.09/0.24 likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)),
% 0.09/0.24 inference(cnf_transformation,[],[f1])).
% 0.09/0.24 tff(f15,plain,(
% 0.09/0.24 ( ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0(X0))) )),
% 0.09/0.24 inference(cnf_transformation,[],[f7])).
% 0.09/0.24 tff(f16,plain,(
% 0.09/0.24 ~holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false)),
% 0.09/0.24 inference(cnf_transformation,[],[f9])).
% 0.09/0.24 tff(f18,definition,(
% 0.09/0.24 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.09/0.24 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.09/0.24 tff(f32,plain,(
% 0.09/0.24 ( ! [X0 : $i] : (($true != $true) | ~likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) | (bG0(X0) = $false)) )),
% 0.09/0.24 inference(superposition,[],[f12,f18])).
% 0.09/0.24 tff(f33,plain,(
% 0.09/0.24 ( ! [X0 : $i] : (~likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) | (bG0(X0) = $false)) )),
% 0.09/0.24 inference(trivial_inequality_removal,[],[f32])).
% 0.09/0.24 tff(f34,plain,(
% 0.09/0.24 ($false = bG0(lBill_THFTYPE_i))),
% 0.09/0.24 inference(resolution,[],[f33,f13])).
% 0.09/0.24 tff(f38,plain,(
% 0.09/0.24 holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false)),
% 0.09/0.24 inference(superposition,[],[f15,f34])).
% 0.09/0.24 tff(f40,plain,(
% 0.09/0.24 $false),
% 0.09/0.24 inference(forward_subsumption_resolution,[],[f38,f16])).
% 0.09/0.24 % SZS output end Proof for theBenchmark
% 0.09/0.24 % (2131957)------------------------------
% 0.09/0.24 % (2131957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (2131957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (2131957)CaDiCaL version: 2.1.3
% 0.09/0.24 % (2131957)Termination reason: Refutation
% 0.09/0.24 % (2131957)Time elapsed: 0.002 s
% 0.09/0.24 % (2131957)Peak memory usage: 11 MB
% 0.09/0.24 % (2131957)Instructions burned: 1 (million)
% 0.09/0.24 % (2131949)Success in time 0.036 s
% 0.09/0.24 % Vampire exiting
%------------------------------------------------------------------------------