%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO143^5 : 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 08:49:02 AM UTC 2026
% Result : Theorem 0.08s 0.23s
% Output : Refutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO143^5 : 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 16:34:37 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 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
% 0.08/0.23 % (2343058)Will run a generic schedule for satisfiability detection.
% 0.08/0.23 % (2343065)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2651941126:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.08/0.23 % (2343065) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2343058-2343065"...
% 0.08/0.23 % (2343065)...printing done.
% 0.08/0.23 % (2343065)Refutation found. Thanks to Tanya!
% 0.08/0.23 % SZS status Theorem for theBenchmark
% 0.08/0.23 % SZS output start Proof for theBenchmark
% 0.08/0.23 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.08/0.23 thf(func_def_0, type, cQ: ($i > $o)).
% 0.08/0.23 thf(func_def_1, type, cP: ($i > $o)).
% 0.08/0.23 thf(func_def_6, type, sK1: ($i > $i)).
% 0.08/0.23 thf(f1,conjecture,(
% 0.08/0.23 (? [X2 : $i] : (cQ @ X2) | ~ ? [X0 : $i] : ! [X1 : $i] : ((cP @ X0) => (cP @ X1))) => ? [X2 : $i] : (cQ @ X2)),
% 0.08/0.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDUP_BUG_1)).
% 0.08/0.23 thf(f2,negated_conjecture,(
% 0.08/0.23 ~((? [X2 : $i] : (cQ @ X2) | ~ ? [X0 : $i] : ! [X1 : $i] : ((cP @ X0) => (cP @ X1))) => ? [X2 : $i] : (cQ @ X2))),
% 0.08/0.23 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.23 thf(f3,plain,(
% 0.08/0.23 ~((? [X0 : $i] : (cQ @ X0) | ~ ? [X1 : $i] : ! [X2 : $i] : ((cP @ X1) => (cP @ X2))) => ? [X3 : $i] : (cQ @ X3))),
% 0.08/0.23 inference(rectify,[],[f2])).
% 0.08/0.23 thf(f4,plain,(
% 0.08/0.23 ~((? [X0 : $i] : (((cQ @ X0)) = $true) | ~ ? [X1 : $i] : ! [X2 : $i] : ((((cP @ X1)) = $true) => (((cP @ X2)) = $true))) => ? [X3 : $i] : (((cQ @ X3)) = $true))),
% 0.08/0.23 inference(fool_elimination,[],[f3])).
% 0.08/0.23 thf(f5,plain,(
% 0.08/0.23 ! [X3 : $i] : (((cQ @ X3)) != $true) & (? [X0 : $i] : (((cQ @ X0)) = $true) | ! [X1 : $i] : ? [X2 : $i] : ((((cP @ X2)) != $true) & (((cP @ X1)) = $true)))),
% 0.08/0.23 inference(ennf_transformation,[],[f4])).
% 0.08/0.23 thf(f6,plain,(
% 0.08/0.23 ! [X0 : $i] : (((cQ @ X0)) != $true) & (? [X1 : $i] : ($true = ((cQ @ X1))) | ! [X2 : $i] : ? [X3 : $i] : (($true != ((cP @ X3))) & (((cP @ X2)) = $true)))),
% 0.08/0.23 inference(rectify,[],[f5])).
% 0.08/0.23 thf(f7,plain,(
% 0.08/0.23 ! [X0 : $i] : (((cQ @ X0)) != $true) & (($true = ((cQ @ sK0))) | ! [X2 : $i] : (($true != ((cP @ (sK1 @ X2)))) & (((cP @ X2)) = $true)))),
% 0.08/0.23 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,vAPP]),skolemize(X1,sK0),skolemize(X3,sK1 @ X2)],[f6])).
% 0.08/0.23 thf(f8,plain,(
% 0.08/0.23 ( ! [X2 : $i] : (($true = ((cQ @ sK0))) | (((cP @ X2)) = $true)) )),
% 0.08/0.23 inference(cnf_transformation,[],[f7])).
% 0.08/0.23 thf(f9,plain,(
% 0.08/0.23 ( ! [X2 : $i] : (($true = ((cQ @ sK0))) | ($true != ((cP @ (sK1 @ X2))))) )),
% 0.08/0.23 inference(cnf_transformation,[],[f7])).
% 0.08/0.23 thf(f10,plain,(
% 0.08/0.23 ( ! [X0 : $i] : ((((cQ @ X0)) != $true)) )),
% 0.08/0.23 inference(cnf_transformation,[],[f7])).
% 0.08/0.23 thf(f13,plain,(
% 0.08/0.23 ( ! [X2 : $i] : ((((cP @ X2)) = $true)) )),
% 0.08/0.23 inference(forward_subsumption_resolution,[],[f8,f10])).
% 0.08/0.23 thf(f14,plain,(
% 0.08/0.23 ( ! [X2 : $i] : (($true != ((cP @ (sK1 @ X2))))) )),
% 0.08/0.23 inference(forward_subsumption_resolution,[],[f9,f10])).
% 0.08/0.23 thf(f15,plain,(
% 0.08/0.23 $false),
% 0.08/0.23 inference(forward_subsumption_resolution,[],[f14,f13])).
% 0.08/0.23 % SZS output end Proof for theBenchmark
% 0.08/0.23 % (2343065)------------------------------
% 0.08/0.23 % (2343065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.23 % (2343065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.23 % (2343065)CaDiCaL version: 2.1.3
% 0.08/0.23 % (2343065)Termination reason: Refutation
% 0.08/0.23 % (2343065)Time elapsed: 0.001 s
% 0.08/0.23 % (2343065)Peak memory usage: 12 MB
% 0.08/0.23 % (2343065)Instructions burned: 1 (million)
% 0.08/0.23 % (2343058)Success in time 0.015 s
% 0.08/0.23 % Vampire exiting
%------------------------------------------------------------------------------