%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO114^5 : 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 : n011.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 08:48:59 AM UTC 2026
% Result : Theorem 0.10s 0.28s
% Output : Refutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO114^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n011.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 16:34:16 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.24 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
% 0.10/0.28 % (307292)Will run a generic schedule for satisfiability detection.
% 0.10/0.28 % (307301)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1182183851:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.28 % (307300)dis+10_1_sil=32000:sp=arity:random_seed=1305254745:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.28 % (307301)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.10/0.28 % (307301) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-307292-307301"...
% 0.10/0.28 % (307300) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-307292-307300"...
% 0.10/0.28 % (307298)% WARNING: option uhcvi not known.
% 0.10/0.28 % (307301)...printing done.
% 0.10/0.28 % (307300)...printing done.
% 0.10/0.28 % (307301)Refutation found. Thanks to Tanya!
% 0.10/0.28 % SZS status Theorem for theBenchmark
% 0.10/0.28 % SZS output start Proof for theBenchmark
% 0.10/0.28 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.10/0.28 thf(func_def_1, type, cP: ($i > $o)).
% 0.10/0.28 thf(func_def_4, type, cQ: ($i > $o)).
% 0.10/0.28 thf(func_def_6, type, cR: ($i > $o)).
% 0.10/0.28 thf(func_def_10, type, sK0: ($i > $i)).
% 0.10/0.28 thf(f1,conjecture,(
% 0.10/0.28 ~((~(cP @ b) | ~(cP @ a)) & ! [X1 : $i] : ? [X2 : $i] : (~(cQ @ d) | ~(cQ @ c) | ~(cQ @ X2) | ~(cQ @ X1) | (cP @ X1)) & ! [X0 : $i] : ((cQ @ X0) & ((cR @ X0) | (cP @ X0))))),
% 0.10/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM119)).
% 0.10/0.28 thf(f2,negated_conjecture,(
% 0.10/0.28 ~ ~((~(cP @ b) | ~(cP @ a)) & ! [X1 : $i] : ? [X2 : $i] : (~(cQ @ d) | ~(cQ @ c) | ~(cQ @ X2) | ~(cQ @ X1) | (cP @ X1)) & ! [X0 : $i] : ((cQ @ X0) & ((cR @ X0) | (cP @ X0))))),
% 0.10/0.28 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.28 thf(f3,plain,(
% 0.10/0.28 ~ ~((~(cP @ b) | ~(cP @ a)) & ! [X0 : $i] : ? [X1 : $i] : (~(cQ @ d) | ~(cQ @ c) | ~(cQ @ X1) | ~(cQ @ X0) | (cP @ X0)) & ! [X2 : $i] : ((cQ @ X2) & ((cR @ X2) | (cP @ X2))))),
% 0.10/0.28 inference(rectify,[],[f2])).
% 0.10/0.28 thf(f4,plain,(
% 0.10/0.28 ~ ~((~ (((cP @ b)) = $true) | ~ (((cP @ a)) = $true)) & ! [X0 : $i] : ? [X1 : $i] : (~ (((cQ @ d)) = $true) | ~ (((cQ @ c)) = $true) | ~ (((cQ @ X1)) = $true) | ~ (((cQ @ X0)) = $true) | (((cP @ X0)) = $true)) & ! [X2 : $i] : ((((cQ @ X2)) = $true) & ((((cR @ X2)) = $true) | (((cP @ X2)) = $true))))),
% 0.10/0.28 inference(fool_elimination,[],[f3])).
% 0.10/0.28 thf(f5,plain,(
% 0.10/0.28 ((((cP @ b)) != $true) | (((cP @ a)) != $true)) & ! [X0 : $i] : ? [X1 : $i] : ((((cQ @ d)) != $true) | (((cQ @ c)) != $true) | (((cQ @ X1)) != $true) | (((cQ @ X0)) != $true) | (((cP @ X0)) = $true)) & ! [X2 : $i] : ((((cQ @ X2)) = $true) & ((((cR @ X2)) = $true) | (((cP @ X2)) = $true)))),
% 0.10/0.28 inference(flattening,[],[f4])).
% 0.10/0.28 thf(f6,plain,(
% 0.10/0.28 ((((cP @ b)) != $true) | (((cP @ a)) != $true)) & ! [X0 : $i] : ((((cQ @ d)) != $true) | (((cQ @ c)) != $true) | ($true != ((cQ @ (sK0 @ X0)))) | (((cQ @ X0)) != $true) | (((cP @ X0)) = $true)) & ! [X2 : $i] : ((((cQ @ X2)) = $true) & ((((cR @ X2)) = $true) | (((cP @ X2)) = $true)))),
% 0.10/0.28 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f5])).
% 0.10/0.28 thf(f8,plain,(
% 0.10/0.28 ( ! [X2 : $i] : ((((cQ @ X2)) = $true)) )),
% 0.10/0.28 inference(cnf_transformation,[],[f6])).
% 0.10/0.28 thf(f9,plain,(
% 0.10/0.28 ( ! [X0 : $i] : ((((cQ @ d)) != $true) | (((cQ @ c)) != $true) | ($true != ((cQ @ (sK0 @ X0)))) | (((cQ @ X0)) != $true) | (((cP @ X0)) = $true)) )),
% 0.10/0.28 inference(cnf_transformation,[],[f6])).
% 0.10/0.28 thf(f10,plain,(
% 0.10/0.28 (((cP @ b)) != $true) | (((cP @ a)) != $true)),
% 0.10/0.28 inference(cnf_transformation,[],[f6])).
% 0.10/0.28 thf(f13,plain,(
% 0.10/0.28 ( ! [X0 : $i] : ((((cQ @ c)) != $true) | ($true != ((cQ @ (sK0 @ X0)))) | (((cQ @ X0)) != $true) | (((cP @ X0)) = $true)) )),
% 0.10/0.28 inference(forward_subsumption_resolution,[],[f9,f8])).
% 0.10/0.28 thf(f15,definition,(
% 0.10/0.28 spl1_1 <=> (((cP @ a)) = $true)),
% 0.10/0.28 introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition])).
% 0.10/0.28 thf(f17,plain,(
% 0.10/0.28 (((cP @ a)) != $true) | spl1_1),
% 0.10/0.28 inference(avatar_component_clause,[],[f15])).
% 0.10/0.28 thf(f19,definition,(
% 0.10/0.28 spl1_2 <=> (((cP @ b)) = $true)),
% 0.10/0.28 introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition])).
% 0.10/0.28 thf(f21,plain,(
% 0.10/0.28 (((cP @ b)) != $true) | spl1_2),
% 0.10/0.28 inference(avatar_component_clause,[],[f19])).
% 0.10/0.28 thf(f22,plain,(
% 0.10/0.28 ~spl1_1 | ~spl1_2),
% 0.10/0.28 inference(avatar_split_clause,[],[f10,f19,f15])).
% 0.10/0.28 thf(f23,plain,(
% 0.10/0.28 ( ! [X0 : $i] : (($true != ((cQ @ (sK0 @ X0)))) | (((cQ @ X0)) != $true) | (((cP @ X0)) = $true)) )),
% 0.10/0.28 inference(forward_subsumption_resolution,[],[f13,f8])).
% 0.10/0.28 thf(f24,plain,(
% 0.10/0.28 ( ! [X0 : $i] : ((((cQ @ X0)) != $true) | (((cP @ X0)) = $true)) )),
% 0.10/0.28 inference(forward_subsumption_resolution,[],[f23,f8])).
% 0.10/0.28 thf(f25,plain,(
% 0.10/0.28 ( ! [X0 : $i] : ((((cP @ X0)) = $true)) )),
% 0.10/0.28 inference(forward_subsumption_resolution,[],[f24,f8])).
% 0.10/0.28 thf(f26,plain,(
% 0.10/0.28 $false | spl1_1),
% 0.10/0.28 inference(forward_subsumption_resolution,[],[f17,f25])).
% 0.10/0.28 thf(f27,plain,(
% 0.10/0.28 spl1_1),
% 0.10/0.28 inference(avatar_contradiction_clause,[],[f26])).
% 0.10/0.28 thf(f28,plain,(
% 0.10/0.28 $false | spl1_2),
% 0.10/0.28 inference(forward_subsumption_resolution,[],[f21,f25])).
% 0.10/0.28 thf(f29,plain,(
% 0.10/0.28 spl1_2),
% 0.10/0.28 inference(avatar_contradiction_clause,[],[f28])).
% 0.10/0.28 cnf(s1, plain, ~spl1_1 | ~spl1_2, inference(sat_conversion,[],[f22])).
% 0.10/0.28 cnf(s2, plain, spl1_1, inference(sat_conversion,[],[f27])).
% 0.10/0.28 cnf(s3, plain, spl1_2, inference(sat_conversion,[],[f29])).
% 0.10/0.28 cnf(s4, plain, $false, inference(rat,[],[s1,s3,s2])).
% 0.10/0.28 thf(f30,plain,(
% 0.10/0.28 $false),
% 0.10/0.28 inference(avatar_sat_refutation,[],[s4])).
% 0.10/0.28 % SZS output end Proof for theBenchmark
% 0.10/0.28 % (307301)------------------------------
% 0.10/0.28 % (307301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.28 % (307301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.28 % (307301)CaDiCaL version: 2.1.3
% 0.10/0.28 % (307301)Termination reason: Refutation
% 0.10/0.28 % (307301)Time elapsed: 0.002 s
% 0.10/0.28 % (307301)Peak memory usage: 12 MB
% 0.10/0.28 % (307301)Instructions burned: 2 (million)
% 0.10/0.28 % (307292)Success in time 0.037 s
% 0.10/0.28 % Vampire exiting
%------------------------------------------------------------------------------