%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ088^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 08:21:01 AM UTC 2026
% Result : Theorem 0.23s 0.32s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ088^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21 % Computer : n015.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Tue Sep 29 13:25:33 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.26 Running first-order model finding
% 0.10/0.26 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
% 0.23/0.32 % (3505044)Will run a generic schedule for satisfiability detection.
% 0.23/0.32 % (3505050)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2272552135_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.32 % Exception at run slice level
% 0.23/0.32 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.32 % (3505051)% WARNING: option uhcvi not known.
% 0.23/0.32 % (3505059)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3802963701:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.23/0.32 % Exception at run slice level
% 0.23/0.32 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.32 % (3505053)dis+10_1_sil=32000:sp=arity:random_seed=630056155:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.32 % (3505051)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3701874757:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.32 % (3505052)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3811209579:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.32 % (3505054)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1301892079:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.23/0.32 % (3505056)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3779348739:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.23/0.32 % (3505051)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.23/0.32 % (3505054)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.23/0.32 % (3505051)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.23/0.32 % (3505055)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1294965402:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.32 % (3505053) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3505044-3505053"...
% 0.23/0.32 % (3505051) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3505044-3505051"...
% 0.23/0.32 % (3505056) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3505044-3505056"...
% 0.23/0.32 % (3505054) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3505044-3505054"...
% 0.23/0.32 % (3505055) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3505044-3505055"...
% 0.23/0.32 % (3505052) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3505044-3505052"...
% 0.23/0.32 % (3505051)...printing done.
% 0.23/0.32 % (3505053)...printing done.
% 0.23/0.32 % (3505056)...printing done.
% 0.23/0.32 % (3505054)...printing done.
% 0.23/0.32 % (3505055)...printing done.
% 0.23/0.32 % (3505052)...printing done.
% 0.23/0.32 % (3505051)Refutation found. Thanks to Tanya!
% 0.23/0.32 % SZS status Theorem for theBenchmark
% 0.23/0.32 % SZS output start Proof for theBenchmark
% 0.23/0.32 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.23/0.32 thf(func_def_0, type, cLIKES: ($i > $i > $o)).
% 0.23/0.32 thf(func_def_6, type, sK0: ($i > $i)).
% 0.23/0.32 thf(f1,conjecture,(
% 0.23/0.32 (! [X1 : $i] : (? [X2 : $i] : (cLIKES @ X1 @ X2) => (cLIKES @ cLYLE @ X1)) & ! [X0 : $i] : (cLIKES @ X0 @ cBRUCE)) => ? [X3 : $i] : ! [X4 : $i] : (cLIKES @ X3 @ X4)),
% 0.23/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM68A)).
% 0.23/0.32 thf(f2,negated_conjecture,(
% 0.23/0.32 ~((! [X1 : $i] : (? [X2 : $i] : (cLIKES @ X1 @ X2) => (cLIKES @ cLYLE @ X1)) & ! [X0 : $i] : (cLIKES @ X0 @ cBRUCE)) => ? [X3 : $i] : ! [X4 : $i] : (cLIKES @ X3 @ X4))),
% 0.23/0.32 inference(negated_conjecture,[status(cth)],[f1])).
% 0.23/0.32 thf(f3,plain,(
% 0.23/0.32 ~((! [X0 : $i] : (? [X1 : $i] : (cLIKES @ X0 @ X1) => (cLIKES @ cLYLE @ X0)) & ! [X2 : $i] : (cLIKES @ X2 @ cBRUCE)) => ? [X3 : $i] : ! [X4 : $i] : (cLIKES @ X3 @ X4))),
% 0.23/0.32 inference(rectify,[],[f2])).
% 0.23/0.32 thf(f4,plain,(
% 0.23/0.32 ~((! [X0 : $i] : (? [X1 : $i] : (((cLIKES @ X0 @ X1)) = $true) => (((cLIKES @ cLYLE @ X0)) = $true)) & ! [X2 : $i] : (((cLIKES @ X2 @ cBRUCE)) = $true)) => ? [X3 : $i] : ! [X4 : $i] : (((cLIKES @ X3 @ X4)) = $true))),
% 0.23/0.32 inference(fool_elimination,[],[f3])).
% 0.23/0.32 thf(f5,plain,(
% 0.23/0.32 ! [X3 : $i] : ? [X4 : $i] : (((cLIKES @ X3 @ X4)) != $true) & (! [X0 : $i] : ((((cLIKES @ cLYLE @ X0)) = $true) | ! [X1 : $i] : (((cLIKES @ X0 @ X1)) != $true)) & ! [X2 : $i] : (((cLIKES @ X2 @ cBRUCE)) = $true))),
% 0.23/0.32 inference(ennf_transformation,[],[f4])).
% 0.23/0.32 thf(f6,plain,(
% 0.23/0.32 ! [X3 : $i] : ? [X4 : $i] : (((cLIKES @ X3 @ X4)) != $true) & ! [X0 : $i] : ((((cLIKES @ cLYLE @ X0)) = $true) | ! [X1 : $i] : (((cLIKES @ X0 @ X1)) != $true)) & ! [X2 : $i] : (((cLIKES @ X2 @ cBRUCE)) = $true)),
% 0.23/0.32 inference(flattening,[],[f5])).
% 0.23/0.32 thf(f7,plain,(
% 0.23/0.32 ! [X0 : $i] : ? [X1 : $i] : (((cLIKES @ X0 @ X1)) != $true) & ! [X2 : $i] : (($true = ((cLIKES @ cLYLE @ X2))) | ! [X3 : $i] : ($true != ((cLIKES @ X2 @ X3)))) & ! [X4 : $i] : ($true = ((cLIKES @ X4 @ cBRUCE)))),
% 0.23/0.32 inference(rectify,[],[f6])).
% 0.23/0.32 thf(f8,plain,(
% 0.23/0.32 ! [X0 : $i] : ($true != ((cLIKES @ X0 @ (sK0 @ X0)))) & ! [X2 : $i] : (($true = ((cLIKES @ cLYLE @ X2))) | ! [X3 : $i] : ($true != ((cLIKES @ X2 @ X3)))) & ! [X4 : $i] : ($true = ((cLIKES @ X4 @ cBRUCE)))),
% 0.23/0.32 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f7])).
% 0.23/0.32 thf(f9,plain,(
% 0.23/0.32 ( ! [X4 : $i] : (($true = ((cLIKES @ X4 @ cBRUCE)))) )),
% 0.23/0.32 inference(cnf_transformation,[],[f8])).
% 0.23/0.32 thf(f10,plain,(
% 0.23/0.32 ( ! [X2 : $i,X3 : $i] : (($true != ((cLIKES @ X2 @ X3))) | ($true = ((cLIKES @ cLYLE @ X2)))) )),
% 0.23/0.32 inference(cnf_transformation,[],[f8])).
% 0.23/0.32 thf(f11,plain,(
% 0.23/0.32 ( ! [X0 : $i] : (($true != ((cLIKES @ X0 @ (sK0 @ X0))))) )),
% 0.23/0.32 inference(cnf_transformation,[],[f8])).
% 0.23/0.32 thf(f14,plain,(
% 0.23/0.32 ( ! [X0 : $i] : (($true != $true) | (((cLIKES @ cLYLE @ X0)) = $true)) )),
% 0.23/0.32 inference(constrained_superposition,[],[f10,f9])).
% 0.23/0.32 thf(f15,plain,(
% 0.23/0.32 ( ! [X0 : $i] : ((((cLIKES @ cLYLE @ X0)) = $true)) )),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f14])).
% 0.23/0.32 thf(f16,plain,(
% 0.23/0.32 ($true != $true)),
% 0.23/0.32 inference(constrained_superposition,[],[f11,f15])).
% 0.23/0.32 thf(f19,plain,(
% 0.23/0.32 $false),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f16])).
% 0.23/0.32 % SZS output end Proof for theBenchmark
% 0.23/0.32 % (3505051)------------------------------
% 0.23/0.32 % (3505051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.32 % (3505051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.32 % (3505051)CaDiCaL version: 2.1.3
% 0.23/0.32 % (3505051)Termination reason: Refutation
% 0.23/0.32 % (3505051)Time elapsed: 0.003 s
% 0.23/0.32 % (3505051)Peak memory usage: 12 MB
% 0.23/0.32 % (3505051)Instructions burned: 1 (million)
% 0.23/0.32 % (3505044)Success in time 0.041 s
% 0.23/0.32 % Vampire exiting
%------------------------------------------------------------------------------