%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO226^5 : 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 : n020.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 08:49:34 AM UTC 2026
% Result : Theorem 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO226^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n020.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 16:41:04 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.09/0.25 % (1281117)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (1281126)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1233257817:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.25 % (1281126)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.25 % (1281126) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1281117-1281126"...
% 0.09/0.25 % (1281126)...printing done.
% 0.09/0.25 % (1281126)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Theorem for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% 0.09/0.25 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.09/0.25 thf(func_def_5, type, sK2: (($i > $i > $o) > $i)).
% 0.09/0.25 thf(func_def_6, type, vNOT: ($o > $o)).
% 0.09/0.25 thf(func_def_7, type, db0: !>[X0: $tType]:(X0)).
% 0.09/0.25 thf(func_def_8, type, db1: !>[X0: $tType]:(X0)).
% 0.09/0.25 thf(func_def_9, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.09/0.25 thf(func_def_10, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.09/0.25 thf(f1,conjecture,(
% 0.09/0.25 ! [X0 : $i,X1 : $i] : (! [X2 : ($i > $i > $o)] : (! [X3 : $i] : (X2 @ X3 @ X3) => (X2 @ X0 @ X1)) => (X0 = X1))),
% 0.09/0.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM47B)).
% 0.09/0.25 thf(f2,negated_conjecture,(
% 0.09/0.25 ~ ! [X0 : $i,X1 : $i] : (! [X2 : ($i > $i > $o)] : (! [X3 : $i] : (X2 @ X3 @ X3) => (X2 @ X0 @ X1)) => (X0 = X1))),
% 0.09/0.25 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.25 thf(f3,plain,(
% 0.09/0.25 ~ ! [X0 : $i,X1 : $i] : (! [X2 : ($i > $i > $o)] : (! [X3 : $i] : (X2 @ X3 @ X3) => (X2 @ X0 @ X1)) => (X0 = X1))),
% 0.09/0.25 inference(rectify,[],[f2])).
% 0.09/0.25 thf(f4,plain,(
% 0.09/0.25 ~ ! [X0 : $i,X1 : $i] : (! [X2 : ($i > $i > $o)] : (! [X3 : $i] : (((X2 @ X3 @ X3)) = $true) => (((X2 @ X0 @ X1)) = $true)) => (X0 = X1))),
% 0.09/0.25 inference(fool_elimination,[],[f3])).
% 0.09/0.25 thf(f5,plain,(
% 0.09/0.25 ? [X0 : $i,X1 : $i] : ((X0 != X1) & ! [X2 : ($i > $i > $o)] : ((((X2 @ X0 @ X1)) = $true) | ? [X3 : $i] : (((X2 @ X3 @ X3)) != $true)))),
% 0.09/0.25 inference(ennf_transformation,[],[f4])).
% 0.09/0.25 thf(f6,plain,(
% 0.09/0.25 (sK0 != sK1) & ! [X2 : ($i > $i > $o)] : (($true = ((X2 @ sK0 @ sK1))) | ($true != ((X2 @ (sK2 @ X2) @ (sK2 @ X2)))))),
% 0.09/0.25 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,vAPP]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X3,sK2 @ X2)],[f5])).
% 0.09/0.25 thf(f7,plain,(
% 0.09/0.25 ( ! [X2 : ($i > $i > $o)] : (($true != ((X2 @ (sK2 @ X2) @ (sK2 @ X2)))) | ($true = ((X2 @ sK0 @ sK1)))) )),
% 0.09/0.25 inference(cnf_transformation,[],[f6])).
% 0.09/0.25 thf(f8,plain,(
% 0.09/0.25 (sK0 != sK1)),
% 0.09/0.25 inference(cnf_transformation,[],[f6])).
% 0.09/0.25 thf(f11,plain,(
% 0.09/0.25 ($true != (((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))))))) | ($true = (((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ sK0 @ sK1)))),
% 0.09/0.25 inference(primitive_instantiation,[],[f7])).
% 0.09/0.25 thf(f28,plain,(
% 0.09/0.25 ($true != (((sK2 @ =) = (sK2 @ =)))) | ($true = ((sK0 = sK1)))),
% 0.09/0.25 inference(beta-eta_normalization,[],[f11])).
% 0.09/0.25 thf(f29,plain,(
% 0.09/0.25 (((sK2 @ =)) != ((sK2 @ =))) | ($true = ((sK0 = sK1)))),
% 0.09/0.25 inference(equality_proxy_clausification,[],[f28])).
% 0.09/0.25 thf(f30,plain,(
% 0.09/0.25 (((sK2 @ =)) != ((sK2 @ =))) | (sK0 = sK1)),
% 0.09/0.25 inference(equality_proxy_clausification,[],[f29])).
% 0.09/0.25 thf(f31,plain,(
% 0.09/0.25 (sK0 = sK1)),
% 0.09/0.25 inference(trivial_inequality_removal,[],[f30])).
% 0.09/0.25 thf(f32,plain,(
% 0.09/0.25 $false),
% 0.09/0.25 inference(forward_subsumption_resolution,[],[f31,f8])).
% 0.09/0.25 % SZS output end Proof for theBenchmark
% 0.09/0.25 % (1281126)------------------------------
% 0.09/0.25 % (1281126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (1281126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (1281126)CaDiCaL version: 2.1.3
% 0.09/0.25 % (1281126)Termination reason: Refutation
% 0.09/0.25 % (1281126)Time elapsed: 0.001 s
% 0.09/0.25 % (1281126)Peak memory usage: 12 MB
% 0.09/0.25 % (1281126)Instructions burned: 2 (million)
% 0.09/0.25 % (1281117)Success in time 0.033 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------