0.01/0.06	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.01/0.06	% Command    : run_vampire %s %d THM
0.07/0.25	% Computer : n015.cluster.edu
0.07/0.25	% Model    : x86_64 x86_64
0.07/0.25	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.07/0.25	% Memory   : 8042.1875MB
0.07/0.25	% OS       : Linux 3.10.0-693.el7.x86_64
0.07/0.25	% CPULimit   : 1920
0.07/0.25	% WCLimit    : 240
0.07/0.25	% DateTime   : Wed Jul 30 02:53:48 EDT 2025
0.07/0.25	% CPUTime    : 
0.11/0.26	This is a THF_ problem
0.11/0.26	Running higher-order theorem proving
0.11/0.26	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.VB2BjV2vSC/E---3.1_11916.p -m 16384 -t 240
0.11/0.28	% (12023)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_11916 for (2400ds/183Mi)
0.11/0.28	% (12025)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_11916 for (2400ds/27Mi)
0.11/0.28	% (12026)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_11916 for (2400ds/2Mi)
0.11/0.28	% (12024)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_11916 for (2400ds/4Mi)
0.11/0.28	% (12028)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_11916 for (2400ds/275Mi)
0.11/0.28	% (12027)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_11916 for (2400ds/2Mi)
0.11/0.28	% (12029)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_11916 for (2400ds/18Mi)
0.11/0.28	% (12026)Instruction limit reached!
0.11/0.28	% (12026)------------------------------
0.11/0.28	% (12026)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.11/0.28	% (12026)Termination reason: Unknown
0.11/0.28	% (12026)Termination phase: Saturation
0.11/0.28	
0.11/0.28	% (12026)Memory used [KB]: 5500
0.11/0.28	% (12026)Time elapsed: 0.003 s
0.11/0.28	% (12026)Instructions burned: 2 (million)
0.11/0.28	% (12026)------------------------------
0.11/0.28	% (12026)------------------------------
0.11/0.28	% (12027)Instruction limit reached!
0.11/0.28	% (12027)------------------------------
0.11/0.28	% (12027)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.11/0.28	% (12027)Termination reason: Unknown
0.11/0.28	% (12027)Termination phase: Saturation
0.11/0.28	
0.11/0.28	% (12027)Memory used [KB]: 5500
0.11/0.28	% (12027)Time elapsed: 0.003 s
0.11/0.28	% (12027)Instructions burned: 2 (million)
0.11/0.28	% (12027)------------------------------
0.11/0.28	% (12027)------------------------------
0.11/0.28	% (12025)Refutation not found, incomplete strategy
0.11/0.28	% (12025)------------------------------
0.11/0.28	% (12025)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.11/0.28	% (12025)Termination reason: Refutation not found, incomplete strategy
0.11/0.28	
0.11/0.28	
0.11/0.28	% (12025)Memory used [KB]: 5500
0.11/0.28	% (12025)Time elapsed: 0.003 s
0.11/0.28	% (12025)Instructions burned: 2 (million)
0.11/0.28	% (12025)------------------------------
0.11/0.28	% (12025)------------------------------
0.11/0.28	% (12024)Instruction limit reached!
0.11/0.28	% (12024)------------------------------
0.11/0.28	% (12024)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.11/0.28	% (12024)Termination reason: Unknown
0.11/0.28	% (12024)Termination phase: Saturation
0.11/0.28	
0.11/0.28	% (12024)Memory used [KB]: 5500
0.11/0.28	% (12024)Time elapsed: 0.003 s
0.11/0.28	% (12024)Instructions burned: 4 (million)
0.11/0.28	% (12024)------------------------------
0.11/0.28	% (12024)------------------------------
0.11/0.28	% (12028)Refutation not found, incomplete strategy
0.11/0.28	% (12028)------------------------------
0.11/0.28	% (12028)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.11/0.28	% (12028)Termination reason: Refutation not found, incomplete strategy
0.11/0.28	
0.11/0.28	
0.11/0.28	% (12028)Memory used [KB]: 5628
0.11/0.28	% (12028)Time elapsed: 0.007 s
0.11/0.28	% (12028)Instructions burned: 12 (million)
0.11/0.28	% (12028)------------------------------
0.11/0.28	% (12028)------------------------------
0.11/0.28	% (12029)Instruction limit reached!
0.11/0.28	% (12029)------------------------------
0.11/0.28	% (12029)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.11/0.28	% (12029)Termination reason: Unknown
0.11/0.28	% (12029)Termination phase: Saturation
0.11/0.28	
0.11/0.28	% (12029)Memory used [KB]: 5500
0.11/0.28	% (12029)Time elapsed: 0.009 s
0.11/0.28	% (12029)Instructions burned: 19 (million)
0.11/0.28	% (12029)------------------------------
0.11/0.28	% (12029)------------------------------
0.11/0.29	% (12030)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on E---3.1_11916 for (2399ds/3Mi)
0.11/0.29	% (12031)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on E---3.1_11916 for (2399ds/37Mi)
0.11/0.29	% (12032)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on E---3.1_11916 for (2399ds/15Mi)
0.11/0.29	% (12033)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on E---3.1_11916 for (2399ds/3Mi)
0.11/0.29	% (12030)Instruction limit reached!
0.11/0.29	% (12030)------------------------------
0.11/0.29	% (12030)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.11/0.29	% (12030)Termination reason: Unknown
0.11/0.29	% (12030)Termination phase: Saturation
0.11/0.29	
0.11/0.29	% (12030)Memory used [KB]: 5500
0.11/0.29	% (12030)Time elapsed: 0.003 s
0.11/0.29	% (12030)Instructions burned: 4 (million)
0.11/0.29	% (12030)------------------------------
0.11/0.29	% (12030)------------------------------
0.11/0.29	% (12033)Instruction limit reached!
0.11/0.29	% (12033)------------------------------
0.11/0.29	% (12033)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.11/0.29	% (12033)Termination reason: Unknown
0.11/0.29	% (12033)Termination phase: Saturation
0.11/0.29	
0.11/0.29	% (12033)Memory used [KB]: 5500
0.11/0.29	% (12033)Time elapsed: 0.003 s
0.11/0.29	% (12033)Instructions burned: 4 (million)
0.11/0.29	% (12033)------------------------------
0.11/0.29	% (12033)------------------------------
0.11/0.29	% (12034)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on E---3.1_11916 for (2399ds/1041Mi)
0.11/0.29	% (12035)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_11916 for (2399ds/7Mi)
0.11/0.29	% (12032)Instruction limit reached!
0.11/0.29	% (12032)------------------------------
0.11/0.29	% (12032)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.11/0.29	% (12032)Termination reason: Unknown
0.11/0.29	% (12032)Termination phase: Saturation
0.11/0.29	
0.11/0.29	% (12032)Memory used [KB]: 5628
0.11/0.29	% (12032)Time elapsed: 0.007 s
0.11/0.29	% (12032)Instructions burned: 15 (million)
0.11/0.29	% (12032)------------------------------
0.11/0.29	% (12032)------------------------------
0.11/0.29	% (12035)Instruction limit reached!
0.11/0.29	% (12035)------------------------------
0.11/0.29	% (12035)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.11/0.29	% (12035)Termination reason: Unknown
0.11/0.29	% (12035)Termination phase: Saturation
0.11/0.29	
0.11/0.29	% (12035)Memory used [KB]: 1023
0.11/0.29	% (12035)Time elapsed: 0.004 s
0.11/0.29	% (12035)Instructions burned: 7 (million)
0.11/0.29	% (12035)------------------------------
0.11/0.29	% (12035)------------------------------
0.11/0.30	% (12036)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_11916 for (2399ds/16Mi)
0.11/0.30	% (12037)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on E---3.1_11916 for (2399ds/3Mi)
0.11/0.30	% (12034)First to succeed.
0.11/0.30	% (12031)Instruction limit reached!
0.11/0.30	% (12031)------------------------------
0.11/0.30	% (12031)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.11/0.30	% (12031)Termination reason: Unknown
0.11/0.30	% (12031)Termination phase: Saturation
0.11/0.30	
0.11/0.30	% (12031)Memory used [KB]: 6140
0.11/0.30	% (12031)Time elapsed: 0.013 s
0.11/0.30	% (12031)Instructions burned: 40 (million)
0.11/0.30	% (12031)------------------------------
0.11/0.30	% (12031)------------------------------
0.11/0.30	% (12037)Instruction limit reached!
0.11/0.30	% (12037)------------------------------
0.11/0.30	% (12037)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.11/0.30	% (12037)Termination reason: Unknown
0.11/0.30	% (12037)Termination phase: Saturation
0.11/0.30	
0.11/0.30	% (12037)Memory used [KB]: 5500
0.11/0.30	% (12037)Time elapsed: 0.003 s
0.11/0.30	% (12037)Instructions burned: 4 (million)
0.11/0.30	% (12037)------------------------------
0.11/0.30	% (12037)------------------------------
0.11/0.30	% (12034)Refutation found. Thanks to Tanya!
0.11/0.30	% SZS status Theorem for E---3.1_11916
0.11/0.30	% SZS output start Proof for E---3.1_11916
0.11/0.30	thf(func_def_14, type, ph1: !>[X0: $tType]:(X0)).
0.11/0.30	thf(func_def_15, type, sK2: $i > $o).
0.11/0.30	thf(func_def_16, type, sK3: (($i > $i) > $o) > $i > $i).
0.11/0.30	thf(func_def_17, type, sK4: (($i > $i) > $o) > $i > $i).
0.11/0.30	thf(f113,plain,(
0.11/0.30	  $false),
0.11/0.30	  inference(trivial_inequality_removal,[],[f112])).
0.11/0.30	thf(f112,plain,(
0.11/0.30	  ($true = $false)),
0.11/0.30	  inference(boolean_simplification,[],[f111])).
0.11/0.30	thf(f111,plain,(
0.11/0.30	  (((sK2 @ sK5) => (sK2 @ sK5)) = $false)),
0.11/0.30	  inference(forward_demodulation,[],[f100,f81])).
0.11/0.30	thf(f81,plain,(
0.11/0.30	  ( ! [X1 : $i] : (((sK3 @ (= @ (^[Y0 : $i]: (Y0))) @ X1) = X1)) )),
0.11/0.30	  inference(beta_eta_normalization,[],[f78])).
0.11/0.30	thf(f78,plain,(
0.11/0.30	  ( ! [X1 : $i] : (((sK3 @ (= @ (^[Y0 : $i]: (Y0))) @ X1) = ((^[Y0 : $i]: (Y0)) @ X1))) )),
0.11/0.30	  inference(argument_congruence,[],[f59])).
0.11/0.30	thf(f59,plain,(
0.11/0.30	  ((^[Y0 : $i]: (Y0)) = (sK3 @ (= @ (^[Y0 : $i]: (Y0)))))),
0.11/0.30	  inference(equality_proxy_clausification,[],[f48])).
0.11/0.30	thf(f48,plain,(
0.11/0.30	  ($true = ((^[Y0 : $i]: (Y0)) = (sK3 @ (= @ (^[Y0 : $i]: (Y0))))))),
0.11/0.30	  inference(boolean_simplification,[],[f47])).
0.11/0.30	thf(f47,plain,(
0.11/0.30	  ((((^[Y0 : $i]: (Y0)) = (sK3 @ (= @ (^[Y0 : $i]: (Y0))))) & $true) = $true)),
0.11/0.30	  inference(boolean_simplification,[],[f46])).
0.11/0.30	thf(f46,plain,(
0.11/0.30	  ((((^[Y0 : $i]: (Y0)) = (sK3 @ (= @ (^[Y0 : $i]: (Y0))))) & ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (Y0)))) = $true)),
0.11/0.30	  inference(trivial_inequality_removal,[],[f45])).
0.11/0.30	thf(f45,plain,(
0.11/0.30	  ((((^[Y0 : $i]: (Y0)) = (sK3 @ (= @ (^[Y0 : $i]: (Y0))))) & ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (Y0)))) = $true) | ($true = $false)),
0.11/0.30	  inference(boolean_simplification,[],[f43])).
0.11/0.30	thf(f43,plain,(
0.11/0.30	  ($false = ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (Y0)))) | ((((^[Y0 : $i]: (Y0)) = (sK3 @ (= @ (^[Y0 : $i]: (Y0))))) & ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (Y0)))) = $true)),
0.11/0.30	  inference(superposition,[],[f22,f28])).
0.11/0.30	thf(f28,plain,(
0.11/0.30	  ((sK4 @ (= @ (^[Y0 : $i]: (Y0)))) = (^[Y0 : $i]: (Y0)))),
0.11/0.30	  inference(leibniz_equality_elimination,[],[f23])).
0.11/0.30	thf(f23,plain,(
0.11/0.30	  ( ! [X1 : ($i > $i) > $o] : (($true = (X1 @ (sK4 @ X1))) | ((X1 @ (^[Y0 : $i]: (Y0))) = $false)) )),
0.11/0.30	  inference(binary_proxy_clausification,[],[f22])).
0.11/0.30	thf(f22,plain,(
0.11/0.30	  ( ! [X1 : ($i > $i) > $o] : ((((X1 @ (sK3 @ X1)) & (X1 @ (sK4 @ X1))) = $true) | ((X1 @ (^[Y0 : $i]: (Y0))) = $false)) )),
0.11/0.30	  inference(binary_proxy_clausification,[],[f20])).
0.11/0.30	thf(f20,plain,(
0.11/0.30	  ( ! [X1 : ($i > $i) > $o] : (($false = (((X1 @ (sK3 @ X1)) & (X1 @ (sK4 @ X1))) => ((X1 @ (^[Y0 : $i]: (sK3 @ X1 @ (sK4 @ X1 @ Y0)))) & (!! @ $i @ (^[Y0 : $i]: ((sK2 @ Y0) => (sK2 @ (sK3 @ X1 @ Y0)))))))) | ((X1 @ (^[Y0 : $i]: (Y0))) = $false)) )),
0.11/0.30	  inference(beta_eta_normalization,[],[f19])).
0.11/0.30	thf(f19,plain,(
0.11/0.30	  ( ! [X1 : ($i > $i) > $o] : (((X1 @ (^[Y0 : $i]: (Y0))) = $false) | (((^[Y0 : $i > $i]: (((X1 @ (sK3 @ X1)) & (X1 @ Y0)) => ((X1 @ (^[Y1 : $i]: (sK3 @ X1 @ (Y0 @ Y1)))) & (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1) => (sK2 @ (sK3 @ X1 @ Y1)))))))) @ (sK4 @ X1)) = $false)) )),
0.11/0.30	  inference(sigma_clausification,[],[f17])).
0.11/0.30	thf(f17,plain,(
0.11/0.30	  ( ! [X1 : ($i > $i) > $o] : (((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (((X1 @ (sK3 @ X1)) & (X1 @ Y0)) => ((X1 @ (^[Y1 : $i]: (sK3 @ X1 @ (Y0 @ Y1)))) & (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1) => (sK2 @ (sK3 @ X1 @ Y1))))))))) = $false) | ((X1 @ (^[Y0 : $i]: (Y0))) = $false)) )),
0.11/0.30	  inference(beta_eta_normalization,[],[f15])).
0.11/0.30	thf(f15,plain,(
0.11/0.30	  ( ! [X1 : ($i > $i) > $o] : (((X1 @ (^[Y0 : $i]: (Y0))) = $false) | (((^[Y0 : $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (((X1 @ Y0) & (X1 @ Y1)) => ((X1 @ (^[Y2 : $i]: (Y0 @ (Y1 @ Y2)))) & (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y2) => (sK2 @ (Y0 @ Y2)))))))))) @ (sK3 @ X1)) = $false)) )),
0.11/0.30	  inference(sigma_clausification,[],[f14])).
0.11/0.30	thf(f14,plain,(
0.11/0.30	  ( ! [X1 : ($i > $i) > $o] : (($false = (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (((X1 @ Y0) & (X1 @ Y1)) => ((X1 @ (^[Y2 : $i]: (Y0 @ (Y1 @ Y2)))) & (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y2) => (sK2 @ (Y0 @ Y2)))))))))))) | ((X1 @ (^[Y0 : $i]: (Y0))) = $false)) )),
0.11/0.30	  inference(binary_proxy_clausification,[],[f13])).
0.11/0.30	thf(f13,plain,(
0.11/0.30	  ( ! [X1 : ($i > $i) > $o] : (($false = ((X1 @ (^[Y0 : $i]: (Y0))) & (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (((X1 @ Y0) & (X1 @ Y1)) => ((X1 @ (^[Y2 : $i]: (Y0 @ (Y1 @ Y2)))) & (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y2) => (sK2 @ (Y0 @ Y2)))))))))))))) )),
0.11/0.30	  inference(beta_eta_normalization,[],[f12])).
0.11/0.30	thf(f12,plain,(
0.11/0.30	  ( ! [X1 : ($i > $i) > $o] : ((((^[Y0 : ($i > $i) > $o]: ((Y0 @ (^[Y1 : $i]: (Y1))) & (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ ($i > $i) @ (^[Y2 : $i > $i]: (((Y0 @ Y1) & (Y0 @ Y2)) => ((Y0 @ (^[Y3 : $i]: (Y1 @ (Y2 @ Y3)))) & (!! @ $i @ (^[Y3 : $i]: ((sK2 @ Y3) => (sK2 @ (Y1 @ Y3))))))))))))) @ X1) = $false)) )),
0.11/0.30	  inference(pi_clausification,[],[f11])).
0.11/0.30	thf(f11,plain,(
0.11/0.30	  ((?? @ (($i > $i) > $o) @ (^[Y0 : ($i > $i) > $o]: ((Y0 @ (^[Y1 : $i]: (Y1))) & (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ ($i > $i) @ (^[Y2 : $i > $i]: (((Y0 @ Y1) & (Y0 @ Y2)) => ((Y0 @ (^[Y3 : $i]: (Y1 @ (Y2 @ Y3)))) & (!! @ $i @ (^[Y3 : $i]: ((sK2 @ Y3) => (sK2 @ (Y1 @ Y3)))))))))))))) = $false)),
0.11/0.30	  inference(beta_eta_normalization,[],[f10])).
0.11/0.30	thf(f10,plain,(
0.11/0.30	  (((^[Y0 : $i > $o]: (?? @ (($i > $i) > $o) @ (^[Y1 : ($i > $i) > $o]: ((Y1 @ (^[Y2 : $i]: (Y2))) & (!! @ ($i > $i) @ (^[Y2 : $i > $i]: (!! @ ($i > $i) @ (^[Y3 : $i > $i]: (((Y1 @ Y2) & (Y1 @ Y3)) => ((Y1 @ (^[Y4 : $i]: (Y2 @ (Y3 @ Y4)))) & (!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y4) => (Y0 @ (Y2 @ Y4))))))))))))))) @ sK2) = $false)),
0.11/0.30	  inference(sigma_clausification,[],[f7])).
0.11/0.30	thf(f7,plain,(
0.11/0.30	  ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (?? @ (($i > $i) > $o) @ (^[Y1 : ($i > $i) > $o]: ((Y1 @ (^[Y2 : $i]: (Y2))) & (!! @ ($i > $i) @ (^[Y2 : $i > $i]: (!! @ ($i > $i) @ (^[Y3 : $i > $i]: (((Y1 @ Y2) & (Y1 @ Y3)) => ((Y1 @ (^[Y4 : $i]: (Y2 @ (Y3 @ Y4)))) & (!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y4) => (Y0 @ (Y2 @ Y4)))))))))))))))) = $false)),
0.11/0.30	  inference(not_proxy_clausification,[],[f6])).
0.11/0.30	thf(f6,plain,(
0.11/0.30	  ((~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (?? @ (($i > $i) > $o) @ (^[Y1 : ($i > $i) > $o]: ((Y1 @ (^[Y2 : $i]: (Y2))) & (!! @ ($i > $i) @ (^[Y2 : $i > $i]: (!! @ ($i > $i) @ (^[Y3 : $i > $i]: (((Y1 @ Y2) & (Y1 @ Y3)) => ((Y1 @ (^[Y4 : $i]: (Y2 @ (Y3 @ Y4)))) & (!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y4) => (Y0 @ (Y2 @ Y4))))))))))))))))) = $true)),
0.11/0.30	  inference(cnf_transformation,[],[f5])).
0.11/0.30	thf(f5,plain,(
0.11/0.30	  ((~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (?? @ (($i > $i) > $o) @ (^[Y1 : ($i > $i) > $o]: ((Y1 @ (^[Y2 : $i]: (Y2))) & (!! @ ($i > $i) @ (^[Y2 : $i > $i]: (!! @ ($i > $i) @ (^[Y3 : $i > $i]: (((Y1 @ Y2) & (Y1 @ Y3)) => ((Y1 @ (^[Y4 : $i]: (Y2 @ (Y3 @ Y4)))) & (!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y4) => (Y0 @ (Y2 @ Y4))))))))))))))))) = $true)),
0.11/0.30	  inference(fool_elimination,[],[f4])).
0.11/0.30	thf(f4,plain,(
0.11/0.30	  ~! [X0 : $i > $o] : ? [X1 : ($i > $i) > $o] : (! [X2 : $i > $i,X3 : $i > $i] : (((X1 @ X2) & (X1 @ X3)) => (! [X4] : ((X0 @ X4) => (X0 @ (X3 @ X4))) & (X1 @ (^[X5 : $i] : (X3 @ (X2 @ X5)))))) & (X1 @ (^[X6 : $i] : (X6))))),
0.11/0.30	  inference(rectify,[],[f2])).
0.11/0.30	thf(f2,negated_conjecture,(
0.11/0.30	  ~! [X0 : $i > $o] : ? [X1 : ($i > $i) > $o] : (! [X4 : $i > $i,X3 : $i > $i] : (((X1 @ X4) & (X1 @ X3)) => (! [X5] : ((X0 @ X5) => (X0 @ (X3 @ X5))) & (X1 @ (^[X2 : $i] : (X3 @ (X4 @ X2)))))) & (X1 @ (^[X2 : $i] : (X2))))),
0.11/0.30	  inference(negated_conjecture,[],[f1])).
0.11/0.30	thf(f1,conjecture,(
0.11/0.30	  ! [X0 : $i > $o] : ? [X1 : ($i > $i) > $o] : (! [X4 : $i > $i,X3 : $i > $i] : (((X1 @ X4) & (X1 @ X3)) => (! [X5] : ((X0 @ X5) => (X0 @ (X3 @ X5))) & (X1 @ (^[X2 : $i] : (X3 @ (X4 @ X2)))))) & (X1 @ (^[X2 : $i] : (X2))))),
0.11/0.30	  file('/export/starexec/sandbox/tmp/tmp.VB2BjV2vSC/E---3.1_11916.p',cTHM112A_pme)).
0.11/0.30	thf(f100,plain,(
0.11/0.30	  (((sK2 @ sK5) => (sK2 @ (sK3 @ (= @ (^[Y0 : $i]: (Y0))) @ sK5))) = $false)),
0.11/0.30	  inference(beta_eta_normalization,[],[f98])).
0.11/0.30	thf(f98,plain,(
0.11/0.30	  (((^[Y0 : $i]: ((sK2 @ Y0) => (sK2 @ (sK3 @ (= @ (^[Y1 : $i]: (Y1))) @ Y0)))) @ sK5) = $false)),
0.11/0.30	  inference(sigma_clausification,[],[f58])).
0.11/0.30	thf(f58,plain,(
0.11/0.30	  ((!! @ $i @ (^[Y0 : $i]: ((sK2 @ Y0) => (sK2 @ (sK3 @ (= @ (^[Y1 : $i]: (Y1))) @ Y0))))) = $false)),
0.11/0.30	  inference(boolean_simplification,[],[f57])).
0.11/0.30	thf(f57,plain,(
0.11/0.30	  ($false = ($true & (!! @ $i @ (^[Y0 : $i]: ((sK2 @ Y0) => (sK2 @ (sK3 @ (= @ (^[Y1 : $i]: (Y1))) @ Y0)))))))),
0.11/0.30	  inference(boolean_simplification,[],[f56])).
0.11/0.30	thf(f56,plain,(
0.11/0.30	  (($true => ($true & (!! @ $i @ (^[Y0 : $i]: ((sK2 @ Y0) => (sK2 @ (sK3 @ (= @ (^[Y1 : $i]: (Y1))) @ Y0))))))) = $false)),
0.11/0.30	  inference(backward_demodulation,[],[f54,f48])).
0.11/0.30	thf(f54,plain,(
0.11/0.30	  ((((^[Y0 : $i]: (Y0)) = (sK3 @ (= @ (^[Y0 : $i]: (Y0))))) => (((^[Y0 : $i]: (Y0)) = (sK3 @ (= @ (^[Y0 : $i]: (Y0))))) & (!! @ $i @ (^[Y0 : $i]: ((sK2 @ Y0) => (sK2 @ (sK3 @ (= @ (^[Y1 : $i]: (Y1))) @ Y0))))))) = $false)),
0.11/0.30	  inference(boolean_simplification,[],[f53])).
0.11/0.30	thf(f53,plain,(
0.11/0.30	  ($false = ((((^[Y0 : $i]: (Y0)) = (sK3 @ (= @ (^[Y0 : $i]: (Y0))))) & $true) => (((^[Y0 : $i]: (Y0)) = (sK3 @ (= @ (^[Y0 : $i]: (Y0))))) & (!! @ $i @ (^[Y0 : $i]: ((sK2 @ Y0) => (sK2 @ (sK3 @ (= @ (^[Y1 : $i]: (Y1))) @ Y0))))))))),
0.11/0.30	  inference(trivial_inequality_removal,[],[f52])).
0.11/0.30	thf(f52,plain,(
0.11/0.30	  ($true = $false) | ($false = ((((^[Y0 : $i]: (Y0)) = (sK3 @ (= @ (^[Y0 : $i]: (Y0))))) & $true) => (((^[Y0 : $i]: (Y0)) = (sK3 @ (= @ (^[Y0 : $i]: (Y0))))) & (!! @ $i @ (^[Y0 : $i]: ((sK2 @ Y0) => (sK2 @ (sK3 @ (= @ (^[Y1 : $i]: (Y1))) @ Y0))))))))),
0.11/0.30	  inference(boolean_simplification,[],[f51])).
0.11/0.30	thf(f51,plain,(
0.11/0.30	  ($false = ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (Y0)))) | ($false = ((((^[Y0 : $i]: (Y0)) = (sK3 @ (= @ (^[Y0 : $i]: (Y0))))) & $true) => (((^[Y0 : $i]: (Y0)) = (sK3 @ (= @ (^[Y0 : $i]: (Y0))))) & (!! @ $i @ (^[Y0 : $i]: ((sK2 @ Y0) => (sK2 @ (sK3 @ (= @ (^[Y1 : $i]: (Y1))) @ Y0))))))))),
0.11/0.30	  inference(boolean_simplification,[],[f50])).
0.11/0.30	thf(f50,plain,(
0.11/0.30	  (((((^[Y0 : $i]: (Y0)) = (sK3 @ (= @ (^[Y0 : $i]: (Y0))))) & ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (Y0)))) => (((^[Y0 : $i]: (Y0)) = (sK3 @ (= @ (^[Y0 : $i]: (Y0))))) & (!! @ $i @ (^[Y0 : $i]: ((sK2 @ Y0) => (sK2 @ (sK3 @ (= @ (^[Y1 : $i]: (Y1))) @ Y0))))))) = $false) | ($false = ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (Y0))))),
0.11/0.30	  inference(beta_eta_normalization,[],[f42])).
0.11/0.30	thf(f42,plain,(
0.11/0.30	  ($false = ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (Y0)))) | (((((^[Y0 : $i]: (Y0)) = (sK3 @ (= @ (^[Y0 : $i]: (Y0))))) & ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (Y0)))) => (((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (sK3 @ (= @ (^[Y1 : $i]: (Y1))) @ ((^[Y1 : $i]: (Y1)) @ Y0)))) & (!! @ $i @ (^[Y0 : $i]: ((sK2 @ Y0) => (sK2 @ (sK3 @ (= @ (^[Y1 : $i]: (Y1))) @ Y0))))))) = $false)),
0.11/0.30	  inference(superposition,[],[f20,f28])).
0.11/0.30	% SZS output end Proof for E---3.1_11916
0.11/0.30	% (12034)------------------------------
0.11/0.30	% (12034)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.11/0.30	% (12034)Termination reason: Refutation
0.11/0.30	
0.11/0.30	% (12034)Memory used [KB]: 5628
0.11/0.30	% (12034)Time elapsed: 0.009 s
0.11/0.30	% (12034)Instructions burned: 15 (million)
0.11/0.30	% (12034)------------------------------
0.11/0.30	% (12034)------------------------------
0.11/0.30	% (12022)Success in time 0.026 s
0.11/0.30	EOF