%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN361^5 : 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 08:41:51 AM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN361^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n020.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 16:16:04 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.19/0.27 % (1239036)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (1239041)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3256796330_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % Exception at run slice level
% 0.19/0.27 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.27 % (1239042)% WARNING: option uhcvi not known.
% 0.19/0.27 % (1239042)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=113286194:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (1239043)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=67782586:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (1239044)dis+10_1_sil=32000:sp=arity:random_seed=3039456541:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (1239045)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1225299647:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (1239042)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.27 % (1239045)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.27 % (1239042)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.19/0.27 % (1239045) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1239036-1239045"...
% 0.19/0.27 % (1239044) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1239036-1239044"...
% 0.19/0.27 % (1239042) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1239036-1239042"...
% 0.19/0.27 % (1239043) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1239036-1239043"...
% 0.19/0.27 % (1239049)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=243871971:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.19/0.27 % Exception at run slice level
% 0.19/0.27 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.27 % (1239042)...printing done.
% 0.19/0.27 % (1239045)...printing done.
% 0.19/0.27 % (1239044)...printing done.
% 0.19/0.27 % (1239043)...printing done.
% 0.19/0.27 % (1239042)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% 0.19/0.27 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.19/0.27 thf(func_def_0, type, cS: ($i > $o)).
% 0.19/0.27 thf(func_def_1, type, cQ: ($i > $i > $o)).
% 0.19/0.27 thf(func_def_2, type, cP: ($i > $i > $o)).
% 0.19/0.27 thf(func_def_6, type, sK0: ($i > $i)).
% 0.19/0.27 thf(f1,conjecture,(
% 0.19/0.27 (! [X1 : $i,X2 : $i] : ((cP @ X1 @ X2) => ~(cQ @ X1 @ X2)) & ! [X1 : $i] : ((cS @ X1) => ? [X2 : $i] : (cQ @ X2 @ X1)) & ? [X0 : $i] : ! [X1 : $i] : (cP @ X1 @ X0)) => ? [X3 : $i] : ~(cS @ X3)),
% 0.19/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX2112)).
% 0.19/0.27 thf(f2,negated_conjecture,(
% 0.19/0.27 ~((! [X1 : $i,X2 : $i] : ((cP @ X1 @ X2) => ~(cQ @ X1 @ X2)) & ! [X1 : $i] : ((cS @ X1) => ? [X2 : $i] : (cQ @ X2 @ X1)) & ? [X0 : $i] : ! [X1 : $i] : (cP @ X1 @ X0)) => ? [X3 : $i] : ~(cS @ X3))),
% 0.19/0.27 inference(negated_conjecture,[status(cth)],[f1])).
% 0.19/0.27 thf(f3,plain,(
% 0.19/0.27 ~((! [X0 : $i,X1 : $i] : ((cP @ X0 @ X1) => ~(cQ @ X0 @ X1)) & ! [X2 : $i] : ((cS @ X2) => ? [X3 : $i] : (cQ @ X3 @ X2)) & ? [X4 : $i] : ! [X5 : $i] : (cP @ X5 @ X4)) => ? [X6 : $i] : ~(cS @ X6))),
% 0.19/0.27 inference(rectify,[],[f2])).
% 0.19/0.27 thf(f4,plain,(
% 0.19/0.27 ~((! [X0 : $i,X1 : $i] : ((((cP @ X0 @ X1)) = $true) => ~ (((cQ @ X0 @ X1)) = $true)) & ! [X2 : $i] : ((((cS @ X2)) = $true) => ? [X3 : $i] : (((cQ @ X3 @ X2)) = $true)) & ? [X4 : $i] : ! [X5 : $i] : (((cP @ X5 @ X4)) = $true)) => ? [X6 : $i] : ~ (((cS @ X6)) = $true))),
% 0.19/0.27 inference(fool_elimination,[],[f3])).
% 0.19/0.27 thf(f5,plain,(
% 0.19/0.27 ~((! [X0 : $i,X1 : $i] : ((((cP @ X0 @ X1)) = $true) => (((cQ @ X0 @ X1)) != $true)) & ! [X2 : $i] : ((((cS @ X2)) = $true) => ? [X3 : $i] : (((cQ @ X3 @ X2)) = $true)) & ? [X4 : $i] : ! [X5 : $i] : (((cP @ X5 @ X4)) = $true)) => ? [X6 : $i] : (((cS @ X6)) != $true))),
% 0.19/0.27 inference(flattening,[],[f4])).
% 0.19/0.27 thf(f6,plain,(
% 0.19/0.27 ! [X6 : $i] : (((cS @ X6)) = $true) & (! [X0 : $i,X1 : $i] : ((((cQ @ X0 @ X1)) != $true) | (((cP @ X0 @ X1)) != $true)) & ! [X2 : $i] : (? [X3 : $i] : (((cQ @ X3 @ X2)) = $true) | (((cS @ X2)) != $true)) & ? [X4 : $i] : ! [X5 : $i] : (((cP @ X5 @ X4)) = $true))),
% 0.19/0.27 inference(ennf_transformation,[],[f5])).
% 0.19/0.27 thf(f7,plain,(
% 0.19/0.27 ! [X6 : $i] : (((cS @ X6)) = $true) & ! [X0 : $i,X1 : $i] : ((((cQ @ X0 @ X1)) != $true) | (((cP @ X0 @ X1)) != $true)) & ! [X2 : $i] : (? [X3 : $i] : (((cQ @ X3 @ X2)) = $true) | (((cS @ X2)) != $true)) & ? [X4 : $i] : ! [X5 : $i] : (((cP @ X5 @ X4)) = $true)),
% 0.19/0.27 inference(flattening,[],[f6])).
% 0.19/0.27 thf(f8,plain,(
% 0.19/0.27 ! [X0 : $i] : ($true = ((cS @ X0))) & ! [X1 : $i,X2 : $i] : ((((cQ @ X1 @ X2)) != $true) | (((cP @ X1 @ X2)) != $true)) & ! [X3 : $i] : (? [X4 : $i] : ($true = ((cQ @ X4 @ X3))) | (((cS @ X3)) != $true)) & ? [X5 : $i] : ! [X6 : $i] : ($true = ((cP @ X6 @ X5)))),
% 0.19/0.27 inference(rectify,[],[f7])).
% 0.19/0.27 thf(f9,plain,(
% 0.19/0.27 ! [X0 : $i] : ($true = ((cS @ X0))) & ! [X1 : $i,X2 : $i] : ((((cQ @ X1 @ X2)) != $true) | (((cP @ X1 @ X2)) != $true)) & ! [X3 : $i] : (($true = ((cQ @ (sK0 @ X3) @ X3))) | (((cS @ X3)) != $true)) & ! [X6 : $i] : ($true = ((cP @ X6 @ sK1)))),
% 0.19/0.27 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,sK1]),skolemize(X4,sK0 @ X3),skolemize(X5,sK1)],[f8])).
% 0.19/0.27 thf(f10,plain,(
% 0.19/0.27 ( ! [X6 : $i] : (($true = ((cP @ X6 @ sK1)))) )),
% 0.19/0.27 inference(cnf_transformation,[],[f9])).
% 0.19/0.27 thf(f11,plain,(
% 0.19/0.27 ( ! [X3 : $i] : (($true = ((cQ @ (sK0 @ X3) @ X3))) | (((cS @ X3)) != $true)) )),
% 0.19/0.27 inference(cnf_transformation,[],[f9])).
% 0.19/0.27 thf(f12,plain,(
% 0.19/0.27 ( ! [X2 : $i,X1 : $i] : ((((cP @ X1 @ X2)) != $true) | (((cQ @ X1 @ X2)) != $true)) )),
% 0.19/0.27 inference(cnf_transformation,[],[f9])).
% 0.19/0.27 thf(f13,plain,(
% 0.19/0.27 ( ! [X0 : $i] : (($true = ((cS @ X0)))) )),
% 0.19/0.27 inference(cnf_transformation,[],[f9])).
% 0.19/0.27 thf(f16,plain,(
% 0.19/0.27 ( ! [X3 : $i] : (($true = ((cQ @ (sK0 @ X3) @ X3)))) )),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f11,f13])).
% 0.19/0.27 thf(f17,plain,(
% 0.19/0.27 ( ! [X0 : $i] : (($true != $true) | ($true != ((cQ @ X0 @ sK1)))) )),
% 0.19/0.27 inference(constrained_superposition,[],[f12,f10])).
% 0.19/0.27 thf(f18,plain,(
% 0.19/0.27 ( ! [X0 : $i] : (($true != ((cQ @ X0 @ sK1)))) )),
% 0.19/0.27 inference(trivial_inequality_removal,[],[f17])).
% 0.19/0.27 thf(f19,plain,(
% 0.19/0.27 ($true != $true)),
% 0.19/0.27 inference(constrained_superposition,[],[f18,f16])).
% 0.19/0.27 thf(f20,plain,(
% 0.19/0.27 $false),
% 0.19/0.27 inference(trivial_inequality_removal,[],[f19])).
% 0.19/0.27 % SZS output end Proof for theBenchmark
% 0.19/0.27 % (1239042)------------------------------
% 0.19/0.27 % (1239042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (1239042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (1239042)CaDiCaL version: 2.1.3
% 0.19/0.27 % (1239042)Termination reason: Refutation
% 0.19/0.27 % (1239042)Time elapsed: 0.002 s
% 0.19/0.27 % (1239042)Peak memory usage: 12 MB
% 0.19/0.27 % (1239042)Instructions burned: 2 (million)
% 0.19/0.27 % (1239036)Success in time 0.035 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------