0.00/0.02	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.02	% Command    : run_vampire %s %d THM
0.07/0.34	% Computer   : n002.cluster.edu
0.07/0.34	% Model      : x86_64 x86_64
0.07/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.07/0.34	% Memory     : 8046.5625MB
0.07/0.34	% OS         : Linux 6.8.0-71-generic
0.07/0.34	% CPULimit   : 1440
0.07/0.34	% WCLimit    : 180
0.07/0.34	% DateTime   : Mon Jul 27 09:27:58 UTC 2026
0.07/0.34	% CPUTime    : 
0.12/0.37	This is a THF_ problem
0.12/0.37	Running higher-order theorem proving
0.12/0.39	Running /export/starexec/sandbox/solver/bin/vampire-hol --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --print_def_sorts on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.40bOwsrp7Z/E---3.1_3165088.p -m 16384 -t 180
0.12/0.41	% (3165236)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_3165088 for (1799ds/18Mi)
0.12/0.41	% (3165236)First to succeed.
0.12/0.41	% (3165236)Refutation found. Thanks to Tanya!
0.12/0.41	% SZS status Theorem for E---3.1_3165088
0.12/0.41	% SZS output start Proof for E---3.1_3165088
0.12/0.41	thf(type_def_5, type, rat: $tType).
0.12/0.41	thf(func_def_0, type, rat: $tType).
0.12/0.41	thf(func_def_1, type, x0: rat).
0.12/0.41	thf(func_def_2, type, y0: rat).
0.12/0.41	thf(func_def_3, type, less: rat > rat > $o).
0.12/0.41	thf(func_def_4, type, is: rat > rat > $o).
0.12/0.41	thf(func_def_5, type, more: rat > rat > $o).
0.12/0.41	thf(f33,plain,(
0.12/0.41	  $false),
0.12/0.41	  inference(subsumption_resolution,[status(thm)],[f32,f26])).
0.12/0.41	thf(f26,plain,(
0.12/0.41	  ((is @ x0 @ y0) != $true)),
0.12/0.41	  inference(cnf_transformation,[status(thm)],[f19])).
0.12/0.41	thf(f19,plain,(
0.12/0.41	  ((less @ x0 @ y0) != $true) & ((is @ x0 @ y0) != $true)),
0.12/0.41	  inference(ennf_transformation,[status(thm)],[f15])).
0.12/0.41	thf(f15,plain,(
0.12/0.41	  ~(((less @ x0 @ y0) != $true) => ((is @ x0 @ y0) = $true))),
0.12/0.41	  inference(flattening,[status(thm)],[f8])).
0.12/0.41	thf(f8,plain,(
0.12/0.41	  ~(~((less @ x0 @ y0) = $true) => ((is @ x0 @ y0) = $true))),
0.12/0.41	  inference(fool_elimination,[status(thm)],[f7])).
0.12/0.41	thf(f7,plain,(
0.12/0.41	  ~(~(less @ x0 @ y0) => (is @ x0 @ y0))),
0.12/0.41	  inference(rectify,[status(thm)],[f1])).
0.12/0.41	thf(f1,axiom,(
0.12/0.41	  ~(~(less @ x0 @ y0) => (is @ x0 @ y0))),
0.12/0.41	  file('/export/starexec/sandbox/tmp/tmp.40bOwsrp7Z/E---3.1_3165088.p',n)).
0.12/0.41	thf(f32,plain,(
0.12/0.41	  ((is @ x0 @ y0) = $true)),
0.12/0.41	  inference(subsumption_resolution,[status(thm)],[f31,f27])).
0.12/0.41	thf(f27,plain,(
0.12/0.41	  ((less @ x0 @ y0) != $true)),
0.12/0.41	  inference(cnf_transformation,[status(thm)],[f19])).
0.12/0.41	thf(f31,plain,(
0.12/0.41	  ((less @ x0 @ y0) = $true) | ((is @ x0 @ y0) = $true)),
0.12/0.41	  inference(trivial_inequality_removal,[status(thm)],[f30])).
0.12/0.41	thf(f30,plain,(
0.12/0.41	  ((less @ x0 @ y0) = $true) | ((is @ x0 @ y0) = $true) | ($true != $true)),
0.12/0.41	  inference(superposition,[status(thm)],[f24,f25])).
0.12/0.41	thf(f25,plain,(
0.12/0.41	  ( ! [X0 : rat,X1 : rat] : (($true = (more @ X1 @ X0)) | ((less @ X1 @ X0) = $true) | ($true = (is @ X1 @ X0))) )),
0.12/0.41	  inference(cnf_transformation,[status(thm)],[f23])).
0.12/0.41	thf(f23,plain,(
0.12/0.41	  ! [X0 : rat,X1 : rat] : (($true = (more @ X1 @ X0)) | ((less @ X1 @ X0) = $true) | ($true = (is @ X1 @ X0)))),
0.12/0.41	  inference(rectify,[status(thm)],[f22])).
0.12/0.41	thf(f22,plain,(
0.12/0.41	  ! [X1 : rat,X0 : rat] : (((more @ X0 @ X1) = $true) | ((less @ X0 @ X1) = $true) | ((is @ X0 @ X1) = $true))),
0.12/0.41	  inference(flattening,[status(thm)],[f21])).
0.12/0.41	thf(f21,plain,(
0.12/0.41	  ! [X1 : rat,X0 : rat] : ((((less @ X0 @ X1) = $true) | ((more @ X0 @ X1) = $true)) | ((is @ X0 @ X1) = $true))),
0.12/0.41	  inference(ennf_transformation,[status(thm)],[f18])).
0.12/0.41	thf(f18,plain,(
0.12/0.41	  ! [X1 : rat,X0 : rat] : (((is @ X0 @ X1) != $true) => (((more @ X0 @ X1) != $true) => ((less @ X0 @ X1) = $true)))),
0.12/0.41	  inference(flattening,[status(thm)],[f14])).
0.12/0.41	thf(f14,plain,(
0.12/0.41	  ! [X0 : rat,X1 : rat] : (~((is @ X0 @ X1) = $true) => (~((more @ X0 @ X1) = $true) => ((less @ X0 @ X1) = $true)))),
0.12/0.41	  inference(fool_elimination,[status(thm)],[f13])).
0.12/0.41	thf(f13,plain,(
0.12/0.41	  ! [X0 : rat,X1 : rat] : (~(is @ X0 @ X1) => (~(more @ X0 @ X1) => (less @ X0 @ X1)))),
0.12/0.41	  inference(rectify,[status(thm)],[f2])).
0.12/0.41	thf(f2,axiom,(
0.12/0.41	  ! [X0 : rat,X1 : rat] : (~(is @ X0 @ X1) => (~(more @ X0 @ X1) => (less @ X0 @ X1)))),
0.12/0.41	  file('/export/starexec/sandbox/tmp/tmp.40bOwsrp7Z/E---3.1_3165088.p',satz81a)).
0.12/0.41	thf(f24,plain,(
0.12/0.41	  ((more @ x0 @ y0) != $true)),
0.12/0.41	  inference(cnf_transformation,[status(thm)],[f17])).
0.12/0.41	thf(f17,plain,(
0.12/0.41	  ((more @ x0 @ y0) != $true)),
0.12/0.41	  inference(flattening,[status(thm)],[f12])).
0.12/0.41	thf(f12,plain,(
0.12/0.41	  ~((more @ x0 @ y0) = $true)),
0.12/0.41	  inference(fool_elimination,[status(thm)],[f11])).
0.12/0.41	thf(f11,plain,(
0.12/0.41	  ~(more @ x0 @ y0)),
0.12/0.41	  inference(rectify,[status(thm)],[f5])).
0.12/0.41	thf(f5,negated_conjecture,(
0.12/0.41	  ~(more @ x0 @ y0)),
0.12/0.41	  inference(negated_conjecture,[status(cth)],[f4])).
0.12/0.41	thf(f4,conjecture,(
0.12/0.41	  (more @ x0 @ y0)),
0.12/0.41	  file('/export/starexec/sandbox/tmp/tmp.40bOwsrp7Z/E---3.1_3165088.p',satz81k)).
0.12/0.41	% SZS output end Proof for E---3.1_3165088
0.12/0.41	% (3165236)------------------------------
0.12/0.41	% (3165236)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.12/0.41	% (3165236)Termination reason: Refutation
0.12/0.41	
0.12/0.41	% (3165236)Memory used [KB]: 5500
0.12/0.41	% (3165236)Time elapsed: 0.003 s
0.12/0.41	% (3165236)Instructions burned: 1 (million)
0.12/0.41	% (3165236)------------------------------
0.12/0.41	% (3165236)------------------------------
0.12/0.41	% (3165229)Success in time 0.013 s
0.12/0.42	EOF