%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO298^5 : 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 : 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 : Wed Sep 30 08:49:41 AM UTC 2026
% Result : Theorem 0.22s 0.30s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO298^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n003.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 16:46:02 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 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
% 0.22/0.30 % (2731644)Will run a generic schedule for satisfiability detection.
% 0.22/0.30 % (2731649)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=99025653_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.30 % Exception at run slice level
% 0.22/0.30 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.30 % (2731652)dis+10_1_sil=32000:sp=arity:random_seed=3979666163:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.30 % (2731654)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3552806491:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.30 % (2731653)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3168514176:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.30 % (2731653)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.22/0.30 % (2731652) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2731644-2731652"...
% 0.22/0.30 % (2731654) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2731644-2731654"...
% 0.22/0.30 % (2731653) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2731644-2731653"...
% 0.22/0.30 % (2731652)...printing done.
% 0.22/0.30 % (2731654)...printing done.
% 0.22/0.30 % (2731653)...printing done.
% 0.22/0.30 % (2731652)Refutation found. Thanks to Tanya!
% 0.22/0.30 % SZS status Theorem for theBenchmark
% 0.22/0.30 % SZS output start Proof for theBenchmark
% 0.22/0.30 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.22/0.30 thf(func_def_0, type, q: ($i > $i > $o)).
% 0.22/0.30 thf(func_def_1, type, p: ($i > $i > $o)).
% 0.22/0.30 thf(func_def_5, type, sK0: (($i > $o) > $i)).
% 0.22/0.30 thf(func_def_6, type, sK1: ($i > ($i > $o) > $i)).
% 0.22/0.30 thf(func_def_7, type, vNOT: ($o > $o)).
% 0.22/0.30 thf(func_def_8, type, db0: !>[X0: $tType]:(X0)).
% 0.22/0.30 thf(func_def_9, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.22/0.30 thf(f1,conjecture,(
% 0.22/0.30 ? [X0 : ($i > $o)] : ! [X1 : $i] : ? [X2 : $i] : ! [X3 : $i] : ((X0 @ X3) => ((q @ X1 @ X2) & (p @ X3 @ X2)))),
% 0.22/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBLEDSOE5B)).
% 0.22/0.30 thf(f2,negated_conjecture,(
% 0.22/0.30 ~ ? [X0 : ($i > $o)] : ! [X1 : $i] : ? [X2 : $i] : ! [X3 : $i] : ((X0 @ X3) => ((q @ X1 @ X2) & (p @ X3 @ X2)))),
% 0.22/0.30 inference(negated_conjecture,[status(cth)],[f1])).
% 0.22/0.30 thf(f3,plain,(
% 0.22/0.30 ~ ? [X0 : ($i > $o)] : ! [X1 : $i] : ? [X2 : $i] : ! [X3 : $i] : ((X0 @ X3) => ((q @ X1 @ X2) & (p @ X3 @ X2)))),
% 0.22/0.30 inference(rectify,[],[f2])).
% 0.22/0.30 thf(f4,plain,(
% 0.22/0.30 ~ ? [X0 : ($i > $o)] : ! [X1 : $i] : ? [X2 : $i] : ! [X3 : $i] : ((((X0 @ X3)) = $true) => ((((q @ X1 @ X2)) = $true) & (((p @ X3 @ X2)) = $true)))),
% 0.22/0.30 inference(fool_elimination,[],[f3])).
% 0.22/0.30 thf(f5,plain,(
% 0.22/0.30 ! [X0 : ($i > $o)] : ? [X1 : $i] : ! [X2 : $i] : ? [X3 : $i] : (((((q @ X1 @ X2)) != $true) | (((p @ X3 @ X2)) != $true)) & (((X0 @ X3)) = $true))),
% 0.22/0.30 inference(ennf_transformation,[],[f4])).
% 0.22/0.30 thf(f6,plain,(
% 0.22/0.30 ! [X0 : ($i > $o)] : ! [X2 : $i] : ((($true != ((q @ (sK0 @ X0) @ X2))) | ($true != ((p @ (sK1 @ X2 @ X0) @ X2)))) & ($true = ((X0 @ (sK1 @ X2 @ X0)))))),
% 0.22/0.30 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X3,sK1 @ X2 @ X0),skolemize(X3,sK1 @ X2 @ X0)],[f5])).
% 0.22/0.30 thf(f7,plain,(
% 0.22/0.30 ( ! [X2 : $i,X0 : ($i > $o)] : (($true = ((X0 @ (sK1 @ X2 @ X0))))) )),
% 0.22/0.30 inference(cnf_transformation,[],[f6])).
% 0.22/0.30 thf(f12,plain,(
% 0.22/0.30 ( ! [X2 : $i] : (($true = (((^[Y0 : $i]: ($false)) @ (sK1 @ X2 @ (^[Y0 : $i]: ($false))))))) )),
% 0.22/0.30 inference(primitive_instantiation,[],[f7])).
% 0.22/0.30 thf(f16,plain,(
% 0.22/0.30 ($true = $false)),
% 0.22/0.30 inference(beta-eta_normalization,[],[f12])).
% 0.22/0.30 thf(f17,plain,(
% 0.22/0.30 $false),
% 0.22/0.30 inference(trivial_inequality_removal,[],[f16])).
% 0.22/0.30 % SZS output end Proof for theBenchmark
% 0.22/0.30 % (2731652)------------------------------
% 0.22/0.30 % (2731652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.30 % (2731652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.30 % (2731652)CaDiCaL version: 2.1.3
% 0.22/0.30 % (2731652)Termination reason: Refutation
% 0.22/0.30 % (2731652)Time elapsed: 0.003 s
% 0.22/0.30 % (2731652)Peak memory usage: 11 MB
% 0.22/0.30 % (2731652)Instructions burned: 1 (million)
% 0.22/0.30 % (2731644)Success in time 0.048 s
% 0.22/0.30 % Vampire exiting
%------------------------------------------------------------------------------