0.00/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.03	% Command    : run_vampire %s %d THM
0.08/0.34	% Computer   : n026.cluster.edu
0.08/0.34	% Model      : x86_64 x86_64
0.08/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.08/0.34	% Memory     : 8046.5625MB
0.08/0.34	% OS         : Linux 6.8.0-71-generic
0.08/0.34	% CPULimit   : 1440
0.08/0.34	% WCLimit    : 180
0.08/0.34	% DateTime   : Mon Jul 27 09:21:35 UTC 2026
0.08/0.34	% CPUTime    : 
0.15/0.38	This is a THF_ problem
0.15/0.38	Running higher-order theorem proving
0.15/0.39	Running /export/starexec/sandbox2/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/sandbox2/tmp/tmp.GrvsVE664G/E---3.1_2520289.p -m 16384 -t 180
0.15/0.43	% (2520355)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on E---3.1_2520289 for (1799ds/27Mi)
0.15/0.43	% (2520354)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on E---3.1_2520289 for (1799ds/4Mi)
0.15/0.43	% (2520357)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on E---3.1_2520289 for (1799ds/2Mi)
0.15/0.43	% (2520357)Instruction limit reached!
0.15/0.43	% (2520357)------------------------------
0.15/0.43	% (2520357)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.43	% (2520357)Termination reason: Unknown
0.15/0.43	% (2520357)Termination phase: shuffling
0.15/0.43	
0.15/0.43	% (2520357)Memory used [KB]: 1023
0.15/0.43	% (2520357)Time elapsed: 0.003 s
0.15/0.43	% (2520357)Instructions burned: 2 (million)
0.15/0.44	% (2520357)------------------------------
0.15/0.44	% (2520357)------------------------------
0.15/0.44	% (2520356)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_2520289 for (1799ds/2Mi)
0.15/0.44	% (2520354)Instruction limit reached!
0.15/0.44	% (2520354)------------------------------
0.15/0.44	% (2520354)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.44	% (2520354)Termination reason: Unknown
0.15/0.44	% (2520354)Termination phase: Property scanning
0.15/0.44	
0.15/0.44	% (2520354)Memory used [KB]: 1023
0.15/0.44	% (2520354)Time elapsed: 0.004 s
0.15/0.44	% (2520354)Instructions burned: 4 (million)
0.15/0.44	% (2520354)------------------------------
0.15/0.44	% (2520354)------------------------------
0.15/0.44	% (2520353)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_2520289 for (1799ds/183Mi)
0.15/0.44	% (2520356)Instruction limit reached!
0.15/0.44	% (2520356)------------------------------
0.15/0.44	% (2520356)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.44	% (2520356)Termination reason: Unknown
0.15/0.44	% (2520356)Termination phase: Property scanning
0.15/0.44	
0.15/0.44	% (2520356)Memory used [KB]: 1023
0.15/0.44	% (2520356)Time elapsed: 0.003 s
0.15/0.44	% (2520356)Instructions burned: 2 (million)
0.15/0.44	% (2520356)------------------------------
0.15/0.44	% (2520356)------------------------------
0.15/0.44	% (2520355)First to succeed.
0.15/0.44	% (2520358)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on E---3.1_2520289 for (1799ds/275Mi)
0.15/0.44	% (2520358)Refutation not found, incomplete strategy
0.15/0.44	% (2520358)------------------------------
0.15/0.44	% (2520358)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.44	% (2520358)Termination reason: Refutation not found, incomplete strategy
0.15/0.44	
0.15/0.44	
0.15/0.44	% (2520358)Memory used [KB]: 5500
0.15/0.44	% (2520358)Time elapsed: 0.003 s
0.15/0.44	% (2520358)Instructions burned: 2 (million)
0.15/0.44	% (2520358)------------------------------
0.15/0.44	% (2520358)------------------------------
0.15/0.44	% (2520353)Also succeeded, but the first one will report.
0.15/0.44	% (2520355)Refutation found. Thanks to Tanya!
0.15/0.44	% SZS status Theorem for E---3.1_2520289
0.15/0.44	% SZS output start Proof for E---3.1_2520289
0.15/0.44	thf(func_def_0, type, emptyset: $i > $o).
0.15/0.44	thf(func_def_1, type, union: ($i > $o) > ($i > $o) > $i > $o).
0.15/0.44	thf(func_def_3, type, singleton: $i > $i > $o).
0.15/0.44	thf(func_def_5, type, sup: ($i > $o) > $i).
0.15/0.44	thf(func_def_6, type, supset: (($i > $o) > $o) > $i > $o).
0.15/0.44	thf(func_def_7, type, unionset: (($i > $o) > $o) > $i > $o).
0.15/0.44	thf(func_def_8, type, addition: $i > $i > $i).
0.15/0.44	thf(func_def_9, type, leq: $i > $i > $o).
0.15/0.44	thf(func_def_10, type, multiplication: $i > $i > $i).
0.15/0.44	thf(func_def_11, type, crossmult: ($i > $o) > ($i > $o) > $i > $o).
0.15/0.44	thf(func_def_13, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
0.15/0.44	thf(func_def_28, type, ph2: !>[X0: $tType]:(X0)).
0.15/0.44	thf(f71,plain,(
0.15/0.44	  $false),
0.15/0.44	  inference(trivial_inequality_removal,[status(thm)],[f70])).
0.15/0.44	thf(f70,plain,(
0.15/0.44	  (sK0 != sK0)),
0.15/0.44	  inference(superposition,[status(thm)],[f65,f62])).
0.15/0.44	thf(f62,plain,(
0.15/0.44	  ( ! [X0 : $i] : (((sup @ (= @ X0)) = X0)) )),
0.15/0.44	  inference(beta_eta_normalization,[status(thm)],[f59])).
0.15/0.44	thf(f59,plain,(
0.15/0.44	  ( ! [X0 : $i] : (((sup @ ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ X0)) = X0)) )),
0.15/0.44	  inference(definition_unfolding,[status(thm)],[f50,f41])).
0.15/0.44	thf(f41,plain,(
0.15/0.44	  (singleton = (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))))),
0.15/0.44	  inference(cnf_transformation,[status(thm)],[f27])).
0.15/0.44	thf(f27,plain,(
0.15/0.44	  (singleton = (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))))),
0.15/0.44	  inference(fool_elimination,[status(thm)],[f26])).
0.15/0.44	thf(f26,plain,(
0.15/0.44	  ((^[X0 : $i, X1 : $i] : ((X0 = X1))) = singleton)),
0.15/0.44	  inference(rectify,[status(thm)],[f3])).
0.15/0.44	thf(f3,axiom,(
0.15/0.44	  ((^[X0 : $i, X2 : $i] : ((X0 = X2))) = singleton)),
0.15/0.44	  file('/export/starexec/sandbox2/tmp/tmp.GrvsVE664G/E---3.1_2520289.p',singleton_def)).
0.15/0.44	thf(f50,plain,(
0.15/0.44	  ( ! [X0 : $i] : (((sup @ (singleton @ X0)) = X0)) )),
0.15/0.44	  inference(cnf_transformation,[status(thm)],[f8])).
0.15/0.44	thf(f8,axiom,(
0.15/0.44	  ! [X0 : $i] : ((sup @ (singleton @ X0)) = X0)),
0.15/0.44	  file('/export/starexec/sandbox2/tmp/tmp.GrvsVE664G/E---3.1_2520289.p',sup_singleset)).
0.15/0.44	thf(f65,plain,(
0.15/0.44	  ((sup @ (= @ sK0)) != sK0)),
0.15/0.44	  inference(beta_eta_normalization,[status(thm)],[f64])).
0.15/0.44	thf(f64,plain,(
0.15/0.44	  ((sup @ (^[Y0 : $i]: (sK0 = Y0))) != sK0)),
0.15/0.44	  inference(boolean_simplification,[status(thm)],[f63])).
0.15/0.44	thf(f63,plain,(
0.15/0.44	  ((sup @ (^[Y0 : $i]: ((sK0 = Y0) | (sK0 = Y0)))) != sK0)),
0.15/0.44	  inference(beta_eta_normalization,[status(thm)],[f61])).
0.15/0.44	thf(f61,plain,(
0.15/0.44	  (sK0 != ((^[Y0 : $i]: ((^[Y1 : $i]: (sup @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2 = Y3)))) @ Y0) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2 = Y3)))) @ Y1)))))) @ sK0 @ sK0))),
0.15/0.44	  inference(definition_unfolding,[status(thm)],[f52,f55])).
0.15/0.44	thf(f55,plain,(
0.15/0.44	  (addition = (^[Y0 : $i]: ((^[Y1 : $i]: (sup @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2 = Y3)))) @ Y0) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2 = Y3)))) @ Y1)))))))),
0.15/0.44	  inference(definition_unfolding,[status(thm)],[f46,f42,f41,f41])).
0.15/0.44	thf(f42,plain,(
0.15/0.44	  (union = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
0.15/0.44	  inference(cnf_transformation,[status(thm)],[f23])).
0.15/0.44	thf(f23,plain,(
0.15/0.44	  (union = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
0.15/0.44	  inference(fool_elimination,[status(thm)],[f22])).
0.15/0.44	thf(f22,plain,(
0.15/0.44	  (union = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
0.15/0.44	  inference(rectify,[status(thm)],[f2])).
0.15/0.44	thf(f2,axiom,(
0.15/0.44	  (union = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
0.15/0.44	  file('/export/starexec/sandbox2/tmp/tmp.GrvsVE664G/E---3.1_2520289.p',union_def)).
0.15/0.44	thf(f46,plain,(
0.15/0.44	  (addition = (^[Y0 : $i]: ((^[Y1 : $i]: (sup @ (union @ (singleton @ Y0) @ (singleton @ Y1)))))))),
0.15/0.44	  inference(cnf_transformation,[status(thm)],[f24])).
0.15/0.44	thf(f24,plain,(
0.15/0.44	  (addition = (^[Y0 : $i]: ((^[Y1 : $i]: (sup @ (union @ (singleton @ Y0) @ (singleton @ Y1)))))))),
0.15/0.44	  inference(fool_elimination,[status(thm)],[f6])).
0.15/0.44	thf(f6,axiom,(
0.15/0.44	  ((^[X0 : $i, X1 : $i] : (sup @ (union @ (singleton @ X0) @ (singleton @ X1)))) = addition)),
0.15/0.44	  file('/export/starexec/sandbox2/tmp/tmp.GrvsVE664G/E---3.1_2520289.p',addition_def)).
0.15/0.44	thf(f52,plain,(
0.15/0.44	  ((addition @ sK0 @ sK0) != sK0)),
0.15/0.44	  inference(cnf_transformation,[status(thm)],[f37])).
0.15/0.44	thf(f37,plain,(
0.15/0.44	  ((addition @ sK0 @ sK0) != sK0)),
0.15/0.44	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f34,f36])).
0.15/0.44	thf(f36,plain,(
0.15/0.44	  ? [X0 : $i] : ((addition @ X0 @ X0) != X0) => ((addition @ sK0 @ sK0) != sK0)),
0.15/0.44	  introduced(definition,[],[choice_axiom])).
0.15/0.44	thf(f34,plain,(
0.15/0.44	  ? [X0 : $i] : ((addition @ X0 @ X0) != X0)),
0.15/0.44	  inference(ennf_transformation,[status(thm)],[f32])).
0.15/0.44	thf(f32,plain,(
0.15/0.44	  ~! [X0 : $i] : ((addition @ X0 @ X0) = X0)),
0.15/0.44	  inference(rectify,[status(thm)],[f16])).
0.15/0.44	thf(f16,negated_conjecture,(
0.15/0.44	  ~! [X5 : $i] : ((addition @ X5 @ X5) = X5)),
0.15/0.44	  inference(negated_conjecture,[status(cth)],[f15])).
0.15/0.44	thf(f15,conjecture,(
0.15/0.44	  ! [X5 : $i] : ((addition @ X5 @ X5) = X5)),
0.15/0.44	  file('/export/starexec/sandbox2/tmp/tmp.GrvsVE664G/E---3.1_2520289.p',addition_idemp)).
0.15/0.44	% SZS output end Proof for E---3.1_2520289
0.15/0.44	% (2520355)------------------------------
0.15/0.44	% (2520355)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.44	% (2520355)Termination reason: Refutation
0.15/0.44	
0.15/0.44	% (2520355)Memory used [KB]: 5500
0.15/0.44	% (2520355)Time elapsed: 0.007 s
0.15/0.44	% (2520355)Instructions burned: 5 (million)
0.15/0.44	% (2520355)------------------------------
0.15/0.44	% (2520355)------------------------------
0.15/0.44	% (2520352)Success in time 0.016 s
0.15/0.44	EOF