%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET062^5 : TPTP v9.3.1. Released v4.0.0.
% 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 08:23:33 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 : SET062^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 13:36:18 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.12 Running first-order model finding
% 0.09/0.12 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 % (107488)Will run a generic schedule for satisfiability detection.
% 0.09/0.16 % (107494)% WARNING: option uhcvi not known.
% 0.09/0.16 % (107497)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=449797983:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.16 % (107499)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3149925312:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.16 % (107495)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3592481508:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.16 % (107493)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2564315833_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.16 % (107498)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2511042530:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.16 % (107494)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3510850546:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.16 % (107496)dis+10_1_sil=32000:sp=arity:random_seed=234659728:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.16 % (107497)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.16 % (107494)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.16 % (107493) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-107488-107493"...
% 0.09/0.16 % (107499) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-107488-107499"...
% 0.09/0.16 % (107498) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-107488-107498"...
% 0.09/0.16 % (107497) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-107488-107497"...
% 0.09/0.16 % (107494) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-107488-107494"...
% 0.09/0.16 % (107495) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-107488-107495"...
% 0.09/0.16 % (107496) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-107488-107496"...
% 0.09/0.16 % (107493)...printing done.
% 0.09/0.16 % (107499)...printing done.
% 0.09/0.16 % (107497)...printing done.
% 0.09/0.16 % (107498)...printing done.
% 0.09/0.16 % (107494)...printing done.
% 0.09/0.16 % (107496)...printing done.
% 0.09/0.16 % (107495)...printing done.
% 0.09/0.16 % (107493)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 tff(type_def_5, type, a: $tType).
% 0.09/0.16 tff(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.09/0.16 fof(f1,conjecture,(
% 0.09/0.16 ! [X0 : (a > $o),X1 : a] : ($false => vAPP(a,$o,X0,X1))),
% 0.09/0.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_27_pme)).
% 0.09/0.16 fof(f2,negated_conjecture,(
% 0.09/0.16 ~ ! [X0 : (a > $o),X1 : a] : ($false => vAPP(a,$o,X0,X1))),
% 0.09/0.16 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.16 fof(f3,plain,(
% 0.09/0.16 ~ ! [X0 : (a > $o),X1 : a] : ($false => vAPP(a,$o,X0,X1))),
% 0.09/0.16 inference(rectify,[],[f2])).
% 0.09/0.16 fof(f4,plain,(
% 0.09/0.16 ~ ! [X0 : (a > $o),X1 : a] : ($false => (vAPP(a,$o,X0,X1) = $true))),
% 0.09/0.16 inference(fool_elimination,[],[f3])).
% 0.09/0.16 fof(f5,plain,(
% 0.09/0.16 $false),
% 0.09/0.16 inference(true_and_false_elimination,[],[f4])).
% 0.09/0.16 fof(f6,plain,(
% 0.09/0.16 $false),
% 0.09/0.16 inference(cnf_transformation,[],[f5])).
% 0.09/0.16 % SZS output end Proof for theBenchmark
% 0.09/0.16 % (107493)------------------------------
% 0.09/0.16 % (107493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.16 % (107493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.16 % (107493)CaDiCaL version: 2.1.3
% 0.09/0.16 % (107493)Termination reason: Refutation
% 0.09/0.16 % (107493)Time elapsed: 0.0000 s
% 0.09/0.16 % (107493)Peak memory usage: 10 MB
% 0.09/0.16 % (107488)Success in time 0.027 s
% 0.09/0.16 % Vampire exiting
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