%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO094^5 : 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 : n013.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 08:48:57 AM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO094^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n013.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 16:33:06 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.26 % (2338265)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (2338270)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3617868606_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.26 % Exception at run slice level
% 0.08/0.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.08/0.26 % (2338271)% WARNING: option uhcvi not known.
% 0.08/0.26 % (2338272)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3736791212:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.26 % (2338271)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3137061672:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26 % (2338271)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.26 % (2338271)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.08/0.26 % (2338272) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2338265-2338272"...
% 0.08/0.26 % (2338271) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2338265-2338271"...
% 0.08/0.26 % (2338272)...printing done.
% 0.08/0.26 % (2338271)...printing done.
% 0.08/0.26 % (2338272)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Theorem for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% 0.08/0.26 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.08/0.26 thf(func_def_0, type, cR: ($i > $i > $o)).
% 0.08/0.26 thf(func_def_4, type, sK0: ($i > $i)).
% 0.08/0.26 thf(f1,conjecture,(
% 0.08/0.26 (? [X0 : $i] : (cR @ X0 @ X0) => ! [X1 : $i] : (cR @ X1 @ X1)) => ? [X2 : $i] : ! [X3 : $i] : ((cR @ X2 @ X2) => (cR @ X3 @ X3))),
% 0.08/0.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM55A)).
% 0.08/0.26 thf(f2,negated_conjecture,(
% 0.08/0.26 ~((? [X0 : $i] : (cR @ X0 @ X0) => ! [X1 : $i] : (cR @ X1 @ X1)) => ? [X2 : $i] : ! [X3 : $i] : ((cR @ X2 @ X2) => (cR @ X3 @ X3)))),
% 0.08/0.26 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.26 thf(f3,plain,(
% 0.08/0.26 ~((? [X0 : $i] : (cR @ X0 @ X0) => ! [X1 : $i] : (cR @ X1 @ X1)) => ? [X2 : $i] : ! [X3 : $i] : ((cR @ X2 @ X2) => (cR @ X3 @ X3)))),
% 0.08/0.26 inference(rectify,[],[f2])).
% 0.08/0.26 thf(f4,plain,(
% 0.08/0.26 ~((? [X0 : $i] : (((cR @ X0 @ X0)) = $true) => ! [X1 : $i] : (((cR @ X1 @ X1)) = $true)) => ? [X2 : $i] : ! [X3 : $i] : ((((cR @ X2 @ X2)) = $true) => (((cR @ X3 @ X3)) = $true)))),
% 0.08/0.26 inference(fool_elimination,[],[f3])).
% 0.08/0.26 thf(f5,plain,(
% 0.08/0.26 ! [X2 : $i] : ? [X3 : $i] : ((((cR @ X3 @ X3)) != $true) & (((cR @ X2 @ X2)) = $true)) & (! [X1 : $i] : (((cR @ X1 @ X1)) = $true) | ! [X0 : $i] : (((cR @ X0 @ X0)) != $true))),
% 0.08/0.26 inference(ennf_transformation,[],[f4])).
% 0.08/0.26 thf(f6,plain,(
% 0.08/0.26 ! [X0 : $i] : ? [X1 : $i] : ((((cR @ X1 @ X1)) != $true) & (((cR @ X0 @ X0)) = $true)) & (! [X2 : $i] : (((cR @ X2 @ X2)) = $true) | ! [X3 : $i] : (((cR @ X3 @ X3)) != $true))),
% 0.08/0.26 inference(rectify,[],[f5])).
% 0.08/0.26 thf(f7,plain,(
% 0.08/0.26 ! [X0 : $i] : (($true != ((cR @ (sK0 @ X0) @ (sK0 @ X0)))) & (((cR @ X0 @ X0)) = $true)) & (! [X2 : $i] : (((cR @ X2 @ X2)) = $true) | ! [X3 : $i] : (((cR @ X3 @ X3)) != $true))),
% 0.08/0.26 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f6])).
% 0.08/0.26 thf(f9,plain,(
% 0.08/0.26 ( ! [X0 : $i] : ((((cR @ X0 @ X0)) = $true)) )),
% 0.08/0.26 inference(cnf_transformation,[],[f7])).
% 0.08/0.26 thf(f10,plain,(
% 0.08/0.26 ( ! [X0 : $i] : (($true != ((cR @ (sK0 @ X0) @ (sK0 @ X0))))) )),
% 0.08/0.26 inference(cnf_transformation,[],[f7])).
% 0.08/0.26 thf(f13,plain,(
% 0.08/0.26 ($true != $true)),
% 0.08/0.26 inference(constrained_superposition,[],[f10,f9])).
% 0.08/0.26 thf(f14,plain,(
% 0.08/0.26 $false),
% 0.08/0.26 inference(trivial_inequality_removal,[],[f13])).
% 0.08/0.26 % SZS output end Proof for theBenchmark
% 0.08/0.26 % (2338272)------------------------------
% 0.08/0.26 % (2338272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (2338272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (2338272)CaDiCaL version: 2.1.3
% 0.08/0.26 % (2338272)Termination reason: Refutation
% 0.08/0.26 % (2338272)Time elapsed: 0.002 s
% 0.08/0.26 % (2338272)Peak memory usage: 12 MB
% 0.08/0.26 % (2338272)Instructions burned: 1 (million)
% 0.08/0.26 % (2338265)Success in time 0.038 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------