0.07/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command    : run_vampire %s %d THM
0.13/0.34	% Computer : n021.cluster.edu
0.13/0.34	% Model    : x86_64 x86_64
0.13/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory   : 8042.1875MB
0.13/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 1440
0.13/0.34	% WCLimit    : 180
0.13/0.34	% DateTime   : Thu Jul  4 06:23:54 EDT 2024
0.13/0.34	% CPUTime    : 
0.13/0.36	This is a THF_ problem
0.13/0.36	Running higher-order theorem proving
0.13/0.37	Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.Y1tmnMm5Jh/E---3.1_24455.p -m 16384 -t 180
0.13/0.39	% (24693)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_24455 for (1799ds/275Mi)
0.13/0.39	% (24691)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_24455 for (1799ds/2Mi)
0.13/0.39	% (24692)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_24455 for (1799ds/2Mi)
0.13/0.39	% (24688)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_24455 for (1799ds/183Mi)
0.13/0.39	% (24690)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_24455 for (1799ds/27Mi)
0.13/0.39	% (24694)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_24455 for (1799ds/18Mi)
0.13/0.39	% (24689)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_24455 for (1799ds/4Mi)
0.13/0.39	% (24692)Instruction limit reached!
0.13/0.39	% (24692)------------------------------
0.13/0.39	% (24692)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.13/0.39	% (24692)Termination reason: Unknown
0.13/0.39	% (24692)Termination phase: Saturation
0.13/0.39	
0.13/0.39	% (24692)Memory used [KB]: 895
0.13/0.39	% (24692)Time elapsed: 0.004 s
0.13/0.39	% (24692)Instructions burned: 2 (million)
0.13/0.39	% (24692)------------------------------
0.13/0.39	% (24692)------------------------------
0.13/0.39	% (24693)Refutation not found, incomplete strategy
0.13/0.39	% (24693)------------------------------
0.13/0.39	% (24693)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.13/0.39	% (24693)Termination reason: Refutation not found, incomplete strategy
0.13/0.39	
0.13/0.39	
0.13/0.39	% (24693)Memory used [KB]: 5373
0.13/0.39	% (24693)Time elapsed: 0.004 s
0.13/0.39	% (24693)Instructions burned: 1 (million)
0.13/0.39	% (24693)------------------------------
0.13/0.39	% (24693)------------------------------
0.13/0.39	% (24691)Instruction limit reached!
0.13/0.39	% (24691)------------------------------
0.13/0.39	% (24691)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.13/0.39	% (24691)Termination reason: Unknown
0.13/0.39	% (24691)Termination phase: Saturation
0.13/0.39	
0.13/0.39	% (24691)Memory used [KB]: 5500
0.13/0.39	% (24691)Time elapsed: 0.005 s
0.13/0.39	% (24691)Instructions burned: 2 (million)
0.13/0.39	% (24691)------------------------------
0.13/0.39	% (24691)------------------------------
0.13/0.39	% (24690)Refutation not found, incomplete strategy
0.13/0.39	% (24690)------------------------------
0.13/0.39	% (24690)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.13/0.39	% (24690)Termination reason: Refutation not found, incomplete strategy
0.13/0.39	
0.13/0.39	
0.13/0.39	% (24690)Memory used [KB]: 5500
0.13/0.39	% (24690)Time elapsed: 0.004 s
0.13/0.39	% (24690)Instructions burned: 2 (million)
0.13/0.39	% (24690)------------------------------
0.13/0.39	% (24690)------------------------------
0.13/0.39	% (24689)Instruction limit reached!
0.13/0.39	% (24689)------------------------------
0.13/0.39	% (24689)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.13/0.39	% (24689)Termination reason: Unknown
0.13/0.39	% (24689)Termination phase: Saturation
0.13/0.39	
0.13/0.39	% (24689)Memory used [KB]: 5500
0.13/0.39	% (24689)Time elapsed: 0.005 s
0.13/0.39	% (24689)Instructions burned: 4 (million)
0.13/0.39	% (24689)------------------------------
0.13/0.39	% (24689)------------------------------
0.23/0.40	% (24688)First to succeed.
0.23/0.40	% (24688)Refutation found. Thanks to Tanya!
0.23/0.40	% SZS status Theorem for E---3.1_24455
0.23/0.40	% SZS output start Proof for E---3.1_24455
0.23/0.40	thf(func_def_1, type, cS: $i > $i).
0.23/0.40	thf(func_def_14, type, sK2: ($i > $o) > $i).
0.23/0.40	thf(func_def_16, type, ph3: !>[X0: $tType]:(X0)).
0.23/0.40	thf(f186,plain,(
0.23/0.40	  $false),
0.23/0.40	  inference(trivial_inequality_removal,[],[f181])).
0.23/0.40	thf(f181,plain,(
0.23/0.40	  (c0 != c0) | (sK0 != sK0)),
0.23/0.40	  inference(superposition,[],[f13,f166])).
0.23/0.40	thf(f166,plain,(
0.23/0.40	  ( ! [X0 : $i] : ((c0 = X0) | (sK0 != X0)) )),
0.23/0.40	  inference(superposition,[],[f14,f76])).
0.23/0.40	thf(f76,plain,(
0.23/0.40	  ( ! [X0 : $i] : (((cS @ (sK2 @ (^[Y0 : $i]: (~ (X0 = Y0))))) = X0) | (c0 = X0)) )),
0.23/0.40	  inference(equality_proxy_clausification,[],[f75])).
0.23/0.40	thf(f75,plain,(
0.23/0.40	  ( ! [X0 : $i] : (((cS @ (sK2 @ (^[Y0 : $i]: (~ (X0 = Y0))))) = X0) | ((X0 = c0) = $true)) )),
0.23/0.40	  inference(not_proxy_clausification,[],[f74])).
0.23/0.40	thf(f74,plain,(
0.23/0.40	  ( ! [X0 : $i] : (((cS @ (sK2 @ (^[Y0 : $i]: (~ (X0 = Y0))))) = X0) | ((~ (X0 = c0)) = $false)) )),
0.23/0.40	  inference(beta_eta_normalization,[],[f62])).
0.23/0.40	thf(f62,plain,(
0.23/0.40	  ( ! [X0 : $i] : (((cS @ (sK2 @ (^[Y0 : $i]: (~ (X0 = Y0))))) = X0) | (((^[Y0 : $i]: (~ (X0 = Y0))) @ c0) = $false)) )),
0.23/0.40	  inference(leibniz_equality_elimination,[],[f25])).
0.23/0.40	thf(f25,plain,(
0.23/0.40	  ( ! [X2 : $i,X1 : $i > $o] : (((X1 @ (cS @ (sK2 @ X1))) = $false) | ((X1 @ X2) = $true) | ($false = (X1 @ c0))) )),
0.23/0.40	  inference(binary_proxy_clausification,[],[f24])).
0.23/0.40	thf(f24,plain,(
0.23/0.40	  ( ! [X2 : $i,X1 : $i > $o] : (($false = (X1 @ c0)) | ((X1 @ X2) = $true) | (((X1 @ (sK2 @ X1)) => (X1 @ (cS @ (sK2 @ X1)))) = $false)) )),
0.23/0.40	  inference(beta_eta_normalization,[],[f23])).
0.23/0.40	thf(f23,plain,(
0.23/0.40	  ( ! [X2 : $i,X1 : $i > $o] : ((((^[Y0 : $i]: ((X1 @ Y0) => (X1 @ (cS @ Y0)))) @ (sK2 @ X1)) = $false) | ($false = (X1 @ c0)) | ((X1 @ X2) = $true)) )),
0.23/0.40	  inference(sigma_clausification,[],[f22])).
0.23/0.40	thf(f22,plain,(
0.23/0.40	  ( ! [X2 : $i,X1 : $i > $o] : (((X1 @ X2) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X1 @ (cS @ Y0))))) = $false) | ($false = (X1 @ c0))) )),
0.23/0.40	  inference(binary_proxy_clausification,[],[f21])).
0.23/0.40	thf(f21,plain,(
0.23/0.40	  ( ! [X2 : $i,X1 : $i > $o] : (((X1 @ X2) = $true) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X1 @ (cS @ Y0))))) & (X1 @ c0)))) )),
0.23/0.40	  inference(pi_clausification,[],[f20])).
0.23/0.40	thf(f20,plain,(
0.23/0.40	  ( ! [X1 : $i > $o] : (((!! @ $i @ X1) = $true) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X1 @ (cS @ Y0))))) & (X1 @ c0)))) )),
0.23/0.40	  inference(binary_proxy_clausification,[],[f19])).
0.23/0.40	thf(f19,plain,(
0.23/0.40	  ( ! [X1 : $i > $o] : (((((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X1 @ (cS @ Y0))))) & (X1 @ c0)) => (!! @ $i @ X1)) = $true)) )),
0.23/0.40	  inference(beta_eta_normalization,[],[f18])).
0.23/0.40	thf(f18,plain,(
0.23/0.40	  ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ Y1))))) & (Y0 @ c0)) => (!! @ $i @ Y0))) @ X1) = $true)) )),
0.23/0.40	  inference(pi_clausification,[],[f17])).
0.23/0.40	thf(f17,plain,(
0.23/0.40	  ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ Y1))))) & (Y0 @ c0)) => (!! @ $i @ Y0)))) = $true)),
0.23/0.40	  inference(beta_eta_normalization,[],[f16])).
0.23/0.40	thf(f16,plain,(
0.23/0.40	  ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ Y1))))) & (Y0 @ c0)) => (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))) = $true)),
0.23/0.40	  inference(definition_unfolding,[],[f15,f12])).
0.23/0.40	thf(f12,plain,(
0.23/0.40	  (cIND = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ Y1))))) & (Y0 @ c0)) => (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))))),
0.23/0.40	  inference(cnf_transformation,[],[f6])).
0.23/0.40	thf(f6,plain,(
0.23/0.40	  (cIND = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ Y1))))) & (Y0 @ c0)) => (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))))),
0.23/0.40	  inference(fool_elimination,[],[f5])).
0.23/0.40	thf(f5,plain,(
0.23/0.40	  (! [X0 : $i > $o] : (((X0 @ c0) & ! [X1] : ((X0 @ X1) => (X0 @ (cS @ X1)))) => ! [X2] : (X0 @ X2)) = cIND)),
0.23/0.40	  inference(rectify,[],[f1])).
0.23/0.40	thf(f1,axiom,(
0.23/0.40	  (! [X0 : $i > $o] : (((X0 @ c0) & ! [X1] : ((X0 @ X1) => (X0 @ (cS @ X1)))) => ! [X1] : (X0 @ X1)) = cIND)),
0.23/0.40	  file('/export/starexec/sandbox/tmp/tmp.Y1tmnMm5Jh/E---3.1_24455.p',cIND_def)).
0.23/0.40	thf(f15,plain,(
0.23/0.40	  (cIND = $true)),
0.23/0.40	  inference(cnf_transformation,[],[f11])).
0.23/0.40	thf(f11,plain,(
0.23/0.40	  (cIND = $true) & (! [X1] : ((cS @ X1) != sK0) & (c0 != sK0))),
0.23/0.40	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f9,f10])).
0.23/0.40	thf(f10,plain,(
0.23/0.40	  ? [X0] : (! [X1] : ((cS @ X1) != X0) & (c0 != X0)) => (! [X1] : ((cS @ X1) != sK0) & (c0 != sK0))),
0.23/0.40	  introduced(choice_axiom,[])).
0.23/0.40	thf(f9,plain,(
0.23/0.40	  (cIND = $true) & ? [X0] : (! [X1] : ((cS @ X1) != X0) & (c0 != X0))),
0.23/0.40	  inference(ennf_transformation,[],[f8])).
0.23/0.40	thf(f8,plain,(
0.23/0.40	  ~((cIND = $true) => ! [X0] : ((c0 = X0) | ? [X1] : ((cS @ X1) = X0)))),
0.23/0.40	  inference(fool_elimination,[],[f7])).
0.23/0.40	thf(f7,plain,(
0.23/0.40	  ~(cIND => ! [X0] : ((c0 = X0) | ? [X1] : ((cS @ X1) = X0)))),
0.23/0.40	  inference(rectify,[],[f3])).
0.23/0.40	thf(f3,negated_conjecture,(
0.23/0.40	  ~(cIND => ! [X2] : ((c0 = X2) | ? [X3] : ((cS @ X3) = X2)))),
0.23/0.40	  inference(negated_conjecture,[],[f2])).
0.23/0.40	thf(f2,conjecture,(
0.23/0.40	  cIND => ! [X2] : ((c0 = X2) | ? [X3] : ((cS @ X3) = X2))),
0.23/0.40	  file('/export/starexec/sandbox/tmp/tmp.Y1tmnMm5Jh/E---3.1_24455.p',cTHM578)).
0.23/0.40	thf(f14,plain,(
0.23/0.40	  ( ! [X1 : $i] : (((cS @ X1) != sK0)) )),
0.23/0.40	  inference(cnf_transformation,[],[f11])).
0.23/0.40	thf(f13,plain,(
0.23/0.40	  (c0 != sK0)),
0.23/0.40	  inference(cnf_transformation,[],[f11])).
0.23/0.40	% SZS output end Proof for E---3.1_24455
0.23/0.40	% (24688)------------------------------
0.23/0.40	% (24688)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.40	% (24688)Termination reason: Refutation
0.23/0.40	
0.23/0.40	% (24688)Memory used [KB]: 5500
0.23/0.40	% (24688)Time elapsed: 0.011 s
0.23/0.40	% (24688)Instructions burned: 10 (million)
0.23/0.40	% (24688)------------------------------
0.23/0.40	% (24688)------------------------------
0.23/0.40	% (24687)Success in time 0.025 s
0.23/0.40	EOF