%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN360^5 : 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 : n006.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 0.33s 0.41s
% Output : Refutation 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN360^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.30 % Computer : n006.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8046.5625MB
% 0.12/0.30 % OS : Linux 6.8.0-71-generic
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Tue Sep 29 16:14:54 UTC 2026
% 0.12/0.30 % CPUTime :
% 0.12/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.30/0.35 Running first-order model finding
% 0.30/0.36 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
% 0.33/0.41 % (924725)Will run a generic schedule for satisfiability detection.
% 0.33/0.41 % (924733)dis+10_1_sil=32000:sp=arity:random_seed=248846834:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.33/0.41 % (924733) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-924725-924733"...
% 0.33/0.41 % (924733)...printing done.
% 0.33/0.41 % (924733)Refutation found. Thanks to Tanya!
% 0.33/0.41 % SZS status Theorem for theBenchmark
% 0.33/0.41 % SZS output start Proof for theBenchmark
% 0.33/0.41 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.33/0.41 thf(func_def_0, type, cQ: ($i > $i > $o)).
% 0.33/0.41 thf(func_def_1, type, c_less_: ($i > $i > $o)).
% 0.33/0.41 thf(func_def_7, type, sK2: ($i > $i)).
% 0.33/0.41 thf(f1,conjecture,(
% 0.33/0.41 (! [X2 : $i] : ? [X1 : $i] : (c_less_ @ X2 @ X1) & ! [X0 : $i] : (? [X1 : $i] : (c_less_ @ X0 @ X1) => ! [X1 : $i] : (cQ @ X0 @ X1))) => ! [X1 : $i,X0 : $i] : (cQ @ X0 @ X1)),
% 0.33/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX2111A_pme)).
% 0.33/0.41 thf(f2,negated_conjecture,(
% 0.33/0.41 ~((! [X2 : $i] : ? [X1 : $i] : (c_less_ @ X2 @ X1) & ! [X0 : $i] : (? [X1 : $i] : (c_less_ @ X0 @ X1) => ! [X1 : $i] : (cQ @ X0 @ X1))) => ! [X1 : $i,X0 : $i] : (cQ @ X0 @ X1))),
% 0.33/0.41 inference(negated_conjecture,[status(cth)],[f1])).
% 0.33/0.41 thf(f3,plain,(
% 0.33/0.41 ~((! [X0 : $i] : ? [X1 : $i] : (c_less_ @ X0 @ X1) & ! [X2 : $i] : (? [X3 : $i] : (c_less_ @ X2 @ X3) => ! [X4 : $i] : (cQ @ X2 @ X4))) => ! [X5 : $i,X6 : $i] : (cQ @ X6 @ X5))),
% 0.33/0.41 inference(rectify,[],[f2])).
% 0.33/0.41 thf(f4,plain,(
% 0.33/0.41 ~((! [X0 : $i] : ? [X1 : $i] : (((c_less_ @ X0 @ X1)) = $true) & ! [X2 : $i] : (? [X3 : $i] : (((c_less_ @ X2 @ X3)) = $true) => ! [X4 : $i] : (((cQ @ X2 @ X4)) = $true))) => ! [X5 : $i,X6 : $i] : (((cQ @ X6 @ X5)) = $true))),
% 0.33/0.41 inference(fool_elimination,[],[f3])).
% 0.33/0.41 thf(f5,plain,(
% 0.33/0.41 ? [X5 : $i,X6 : $i] : (((cQ @ X6 @ X5)) != $true) & (! [X0 : $i] : ? [X1 : $i] : (((c_less_ @ X0 @ X1)) = $true) & ! [X2 : $i] : (! [X4 : $i] : (((cQ @ X2 @ X4)) = $true) | ! [X3 : $i] : (((c_less_ @ X2 @ X3)) != $true)))),
% 0.33/0.41 inference(ennf_transformation,[],[f4])).
% 0.33/0.41 thf(f6,plain,(
% 0.33/0.41 ? [X5 : $i,X6 : $i] : (((cQ @ X6 @ X5)) != $true) & ! [X0 : $i] : ? [X1 : $i] : (((c_less_ @ X0 @ X1)) = $true) & ! [X2 : $i] : (! [X4 : $i] : (((cQ @ X2 @ X4)) = $true) | ! [X3 : $i] : (((c_less_ @ X2 @ X3)) != $true))),
% 0.33/0.41 inference(flattening,[],[f5])).
% 0.33/0.41 thf(f7,plain,(
% 0.33/0.41 ? [X0 : $i,X1 : $i] : ($true != ((cQ @ X1 @ X0))) & ! [X2 : $i] : ? [X3 : $i] : (((c_less_ @ X2 @ X3)) = $true) & ! [X4 : $i] : (! [X5 : $i] : ($true = ((cQ @ X4 @ X5))) | ! [X6 : $i] : ($true != ((c_less_ @ X4 @ X6))))),
% 0.33/0.41 inference(rectify,[],[f6])).
% 0.33/0.41 thf(f8,plain,(
% 0.33/0.41 ($true != ((cQ @ sK1 @ sK0))) & ! [X2 : $i] : ($true = ((c_less_ @ X2 @ (sK2 @ X2)))) & ! [X4 : $i] : (! [X5 : $i] : ($true = ((cQ @ X4 @ X5))) | ! [X6 : $i] : ($true != ((c_less_ @ X4 @ X6))))),
% 0.33/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,vAPP]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X3,sK2 @ X2)],[f7])).
% 0.33/0.41 thf(f9,plain,(
% 0.33/0.41 ( ! [X6 : $i,X4 : $i,X5 : $i] : (($true != ((c_less_ @ X4 @ X6))) | ($true = ((cQ @ X4 @ X5)))) )),
% 0.33/0.41 inference(cnf_transformation,[],[f8])).
% 0.33/0.41 thf(f10,plain,(
% 0.33/0.41 ( ! [X2 : $i] : (($true = ((c_less_ @ X2 @ (sK2 @ X2))))) )),
% 0.33/0.41 inference(cnf_transformation,[],[f8])).
% 0.33/0.41 thf(f11,plain,(
% 0.33/0.41 ($true != ((cQ @ sK1 @ sK0)))),
% 0.33/0.41 inference(cnf_transformation,[],[f8])).
% 0.33/0.41 thf(f14,plain,(
% 0.33/0.41 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (((cQ @ X0 @ X1)) = $true)) )),
% 0.33/0.41 inference(constrained_superposition,[],[f9,f10])).
% 0.33/0.41 thf(f15,plain,(
% 0.33/0.41 ( ! [X0 : $i,X1 : $i] : ((((cQ @ X0 @ X1)) = $true)) )),
% 0.33/0.41 inference(trivial_inequality_removal,[],[f14])).
% 0.33/0.41 thf(f16,plain,(
% 0.33/0.41 ($true != $true)),
% 0.33/0.41 inference(constrained_superposition,[],[f11,f15])).
% 0.33/0.41 thf(f17,plain,(
% 0.33/0.41 $false),
% 0.33/0.41 inference(trivial_inequality_removal,[],[f16])).
% 0.33/0.41 % SZS output end Proof for theBenchmark
% 0.33/0.41 % (924733)------------------------------
% 0.33/0.41 % (924733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.41 % (924733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.41 % (924733)CaDiCaL version: 2.1.3
% 0.33/0.41 % (924733)Termination reason: Refutation
% 0.33/0.41 % (924733)Time elapsed: 0.002 s
% 0.33/0.41 % (924733)Peak memory usage: 12 MB
% 0.33/0.41 % (924733)Instructions burned: 1 (million)
% 0.33/0.41 % (924725)Success in time 0.039 s
% 0.33/0.41 % Vampire exiting
%------------------------------------------------------------------------------