%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO306^5 : 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 : n016.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 08:49:42 AM UTC 2026
% Result : Theorem 0.05s 0.23s
% Output : Refutation 0.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO306^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.05/0.16 % Computer : n016.cluster.edu
% 0.05/0.16 % Model : x86_64 x86_64
% 0.05/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.16 % Memory : 8046.5625MB
% 0.05/0.16 % OS : Linux 6.8.0-71-generic
% 0.05/0.16 % CPULimit : 300
% 0.05/0.16 % WCLimit : 300
% 0.05/0.16 % DateTime : Tue Sep 29 16:49:35 UTC 2026
% 0.05/0.16 % CPUTime :
% 0.05/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.05/0.19 Running first-order model finding
% 0.05/0.19 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
% 0.05/0.23 % (600004)Will run a generic schedule for satisfiability detection.
% 0.05/0.23 % (600013)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=47705421:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.05/0.23 % (600013)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.05/0.23 % (600013) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-600004-600013"...
% 0.05/0.23 % (600013)...printing done.
% 0.05/0.23 % (600010)% WARNING: option uhcvi not known.
% 0.05/0.23 % (600013)Refutation found. Thanks to Tanya!
% 0.05/0.23 % SZS status Theorem for theBenchmark
% 0.05/0.23 % SZS output start Proof for theBenchmark
% 0.05/0.23 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.05/0.23 thf(func_def_0, type, cT: ($i > $o)).
% 0.05/0.23 thf(func_def_1, type, cS: ($i > $o)).
% 0.05/0.23 thf(func_def_6, type, sK1: (($i > $o) > $i)).
% 0.05/0.23 thf(func_def_7, type, vNOT: ($o > $o)).
% 0.05/0.23 thf(f1,conjecture,(
% 0.05/0.23 ! [X0 : ($i > $o)] : (! [X1 : $i] : (X0 @ X1) => ! [X1 : $i] : (X0 @ X1)) => (! [X1 : $i] : ((cT @ X1) & (cS @ X1)) => ! [X1 : $i] : ((cT @ X1) & (cS @ X1)))),
% 0.05/0.23 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cDUP_BUG_2)).
% 0.05/0.23 thf(f2,negated_conjecture,(
% 0.05/0.23 ~(! [X0 : ($i > $o)] : (! [X1 : $i] : (X0 @ X1) => ! [X1 : $i] : (X0 @ X1)) => (! [X1 : $i] : ((cT @ X1) & (cS @ X1)) => ! [X1 : $i] : ((cT @ X1) & (cS @ X1))))),
% 0.05/0.23 inference(negated_conjecture,[status(cth)],[f1])).
% 0.05/0.23 thf(f3,plain,(
% 0.05/0.23 ~(! [X0 : ($i > $o)] : (! [X1 : $i] : (X0 @ X1) => ! [X2 : $i] : (X0 @ X2)) => (! [X3 : $i] : ((cT @ X3) & (cS @ X3)) => ! [X4 : $i] : ((cT @ X4) & (cS @ X4))))),
% 0.05/0.23 inference(rectify,[],[f2])).
% 0.05/0.23 thf(f4,plain,(
% 0.05/0.23 ~(! [X0 : ($i > $o)] : (! [X1 : $i] : (((X0 @ X1)) = $true) => ! [X2 : $i] : (((X0 @ X2)) = $true)) => (! [X3 : $i] : ((((cT @ X3)) = $true) & (((cS @ X3)) = $true)) => ! [X4 : $i] : ((((cT @ X4)) = $true) & (((cS @ X4)) = $true))))),
% 0.05/0.23 inference(fool_elimination,[],[f3])).
% 0.05/0.23 thf(f5,plain,(
% 0.05/0.23 (? [X4 : $i] : ((((cT @ X4)) != $true) | (((cS @ X4)) != $true)) & ! [X3 : $i] : ((((cT @ X3)) = $true) & (((cS @ X3)) = $true))) & ! [X0 : ($i > $o)] : (! [X2 : $i] : (((X0 @ X2)) = $true) | ? [X1 : $i] : (((X0 @ X1)) != $true))),
% 0.05/0.23 inference(ennf_transformation,[],[f4])).
% 0.05/0.23 thf(f6,plain,(
% 0.05/0.23 ? [X4 : $i] : ((((cT @ X4)) != $true) | (((cS @ X4)) != $true)) & ! [X3 : $i] : ((((cT @ X3)) = $true) & (((cS @ X3)) = $true)) & ! [X0 : ($i > $o)] : (! [X2 : $i] : (((X0 @ X2)) = $true) | ? [X1 : $i] : (((X0 @ X1)) != $true))),
% 0.05/0.23 inference(flattening,[],[f5])).
% 0.05/0.23 thf(f7,plain,(
% 0.05/0.23 ? [X0 : $i] : (($true != ((cT @ X0))) | ($true != ((cS @ X0)))) & ! [X1 : $i] : ((((cT @ X1)) = $true) & (((cS @ X1)) = $true)) & ! [X2 : ($i > $o)] : (! [X3 : $i] : ($true = ((X2 @ X3))) | ? [X4 : $i] : ($true != ((X2 @ X4))))),
% 0.05/0.23 inference(rectify,[],[f6])).
% 0.05/0.23 thf(f8,plain,(
% 0.05/0.23 (($true != ((cT @ sK0))) | ($true != ((cS @ sK0)))) & ! [X1 : $i] : ((((cT @ X1)) = $true) & (((cS @ X1)) = $true)) & ! [X2 : ($i > $o)] : (! [X3 : $i] : ($true = ((X2 @ X3))) | ($true != ((X2 @ (sK1 @ X2)))))),
% 0.05/0.23 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,vAPP]),skolemize(X0,sK0),skolemize(X4,sK1 @ X2)],[f7])).
% 0.05/0.23 thf(f10,plain,(
% 0.05/0.23 ( ! [X1 : $i] : ((((cS @ X1)) = $true)) )),
% 0.05/0.23 inference(cnf_transformation,[],[f8])).
% 0.05/0.23 thf(f11,plain,(
% 0.05/0.23 ( ! [X1 : $i] : ((((cT @ X1)) = $true)) )),
% 0.05/0.23 inference(cnf_transformation,[],[f8])).
% 0.05/0.23 thf(f12,plain,(
% 0.05/0.23 ($true != ((cT @ sK0))) | ($true != ((cS @ sK0)))),
% 0.05/0.23 inference(cnf_transformation,[],[f8])).
% 0.05/0.23 thf(f15,plain,(
% 0.05/0.23 ($true != ((cS @ sK0)))),
% 0.05/0.23 inference(forward_subsumption_resolution,[],[f12,f11])).
% 0.05/0.23 thf(f16,plain,(
% 0.05/0.23 $false),
% 0.05/0.23 inference(forward_subsumption_resolution,[],[f15,f10])).
% 0.05/0.23 % SZS output end Proof for theBenchmark
% 0.05/0.23 % (600013)------------------------------
% 0.05/0.23 % (600013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.05/0.23 % (600013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.05/0.23 % (600013)CaDiCaL version: 2.1.3
% 0.05/0.23 % (600013)Termination reason: Refutation
% 0.05/0.23 % (600013)Time elapsed: 0.001 s
% 0.05/0.23 % (600013)Peak memory usage: 11 MB
% 0.05/0.23 % (600013)Instructions burned: 1 (million)
% 0.05/0.23 % (600004)Success in time 0.032 s
% 0.05/0.23 % Vampire exiting
%------------------------------------------------------------------------------