%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV290^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 08:39:16 AM UTC 2026
% Result : Theorem 0.26s 0.34s
% Output : Refutation 0.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV290^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 % Computer : n011.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % 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 15:31:31 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.27 Running first-order model finding
% 0.10/0.27 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
% 0.26/0.34 % (225627)Will run a generic schedule for satisfiability detection.
% 0.26/0.34 % (225633)% WARNING: option uhcvi not known.
% 0.26/0.34 % (225632)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4290933516_2999 on theBenchmark for (2999ds/0Mi)
% 0.26/0.34 % (225633)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1412835729:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.26/0.34 % (225635)dis+10_1_sil=32000:sp=arity:random_seed=3723783560:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.26/0.34 % (225633)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.26/0.34 % (225636)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=277519952:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.26/0.34 % (225633)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.26/0.34 % Exception at run slice level
% 0.26/0.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.26/0.34 % (225636)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.26/0.34 % (225637)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3440594177:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.26/0.34 % (225636) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-225627-225636"...
% 0.26/0.34 % (225635) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-225627-225635"...
% 0.26/0.34 % (225633) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-225627-225633"...
% 0.26/0.34 % (225636)...printing done.
% 0.26/0.34 % (225636)Refutation found. Thanks to Tanya!
% 0.26/0.34 % SZS status Theorem for theBenchmark
% 0.26/0.34 % SZS output start Proof for theBenchmark
% 0.26/0.34 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.26/0.34 thf(func_def_0, type, c0: (($i > $o) > $o)).
% 0.26/0.34 thf(func_def_1, type, cSUCC: ((($i > $o) > $o) > ($i > $o) > $o)).
% 0.26/0.34 thf(func_def_2, type, c_less__eq_: ((($i > $o) > $o) > (($i > $o) > $o) > $o)).
% 0.26/0.34 thf(func_def_4, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.26/0.34 thf(func_def_5, type, vAND: ($o > $o > $o)).
% 0.26/0.34 thf(func_def_6, type, db1: !>[X0: $tType]:(X0)).
% 0.26/0.34 thf(func_def_7, type, db0: !>[X0: $tType]:(X0)).
% 0.26/0.34 thf(func_def_8, type, db2: !>[X0: $tType]:(X0)).
% 0.26/0.34 thf(func_def_9, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.26/0.34 thf(func_def_10, type, vNOT: ($o > $o)).
% 0.26/0.34 thf(func_def_11, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.26/0.34 thf(func_def_12, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.26/0.34 thf(func_def_13, type, vIMP: ($o > $o > $o)).
% 0.26/0.34 thf(func_def_16, type, sK0: (((($i > $o) > $o) > $o) > ($i > $o) > $o)).
% 0.26/0.34 thf(func_def_17, type, sK1: (((($i > $o) > $o) > $o) > (($i > $o) > $o) > $o)).
% 0.26/0.34 thf(f3,conjecture,(
% 0.26/0.34 ? [X0 : ((($i > $o) > $o) > $o)] : ! [X1 : (($i > $o) > $o)] : ((X0 @ X1) => (c_less__eq_ @ X1 @ c0))),
% 0.26/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBLEDSOE1)).
% 0.26/0.34 thf(f4,negated_conjecture,(
% 0.26/0.34 ~ ? [X0 : ((($i > $o) > $o) > $o)] : ! [X1 : (($i > $o) > $o)] : ((X0 @ X1) => (c_less__eq_ @ X1 @ c0))),
% 0.26/0.34 inference(negated_conjecture,[status(cth)],[f3])).
% 0.26/0.34 thf(f9,plain,(
% 0.26/0.34 ~ ? [X0 : ((($i > $o) > $o) > $o)] : ! [X1 : (($i > $o) > $o)] : ((X0 @ X1) => (c_less__eq_ @ X1 @ c0))),
% 0.26/0.34 inference(rectify,[],[f4])).
% 0.26/0.34 thf(f10,plain,(
% 0.26/0.34 ~ ? [X0 : ((($i > $o) > $o) > $o)] : ! [X1 : (($i > $o) > $o)] : ((((X0 @ X1)) = $true) => (((c_less__eq_ @ X1 @ c0)) = $true))),
% 0.26/0.34 inference(fool_elimination,[],[f9])).
% 0.26/0.34 thf(f11,plain,(
% 0.26/0.34 ! [X0 : ((($i > $o) > $o) > $o)] : ? [X1 : (($i > $o) > $o)] : ((((c_less__eq_ @ X1 @ c0)) != $true) & (((X0 @ X1)) = $true))),
% 0.26/0.34 inference(ennf_transformation,[],[f10])).
% 0.26/0.34 thf(f12,plain,(
% 0.26/0.34 ! [X0 : ((($i > $o) > $o) > $o)] : (($true != ((c_less__eq_ @ (sK0 @ X0) @ c0))) & ($true = ((X0 @ (sK0 @ X0)))))),
% 0.26/0.34 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f11])).
% 0.26/0.34 thf(f15,plain,(
% 0.26/0.34 ( ! [X0 : ((($i > $o) > $o) > $o)] : (($true = ((X0 @ (sK0 @ X0))))) )),
% 0.26/0.34 inference(cnf_transformation,[],[f12])).
% 0.26/0.34 thf(f32,plain,(
% 0.26/0.34 ($true = (((^[Y0 : ($i > $o) > $o]: ($false)) @ (sK0 @ (^[Y0 : ($i > $o) > $o]: ($false))))))),
% 0.26/0.34 inference(primitive_instantiation,[],[f15])).
% 0.26/0.34 thf(f36,plain,(
% 0.26/0.34 ($true = $false)),
% 0.26/0.34 inference(beta-eta_normalization,[],[f32])).
% 0.26/0.34 thf(f37,plain,(
% 0.26/0.34 $false),
% 0.26/0.34 inference(trivial_inequality_removal,[],[f36])).
% 0.26/0.34 % SZS output end Proof for theBenchmark
% 0.26/0.34 % (225636)------------------------------
% 0.26/0.34 % (225636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.34 % (225636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.34 % (225636)CaDiCaL version: 2.1.3
% 0.26/0.34 % (225636)Termination reason: Refutation
% 0.26/0.34 % (225636)Time elapsed: 0.002 s
% 0.26/0.34 % (225636)Peak memory usage: 12 MB
% 0.26/0.34 % (225636)Instructions burned: 2 (million)
% 0.26/0.34 % (225627)Success in time 0.052 s
% 0.26/0.34 % Vampire exiting
%------------------------------------------------------------------------------