0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.12	% Command    : run_vampire %s %d THM
0.12/0.34	% Computer : n022.cluster.edu
0.12/0.34	% Model    : x86_64 x86_64
0.12/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory   : 8042.1875MB
0.12/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit   : 1920
0.12/0.34	% WCLimit    : 240
0.12/0.34	% DateTime   : Wed Jul 30 02:39:19 EDT 2025
0.12/0.34	% CPUTime    : 
0.12/0.36	This is a THF_ problem
0.12/0.36	Running higher-order theorem proving
0.12/0.37	Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.O38et99PZt/E---3.1_15762.p -m 16384 -t 240
0.12/0.39	% (15871)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_15762 for (2399ds/27Mi)
0.12/0.39	% (15873)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_15762 for (2399ds/2Mi)
0.12/0.39	% (15869)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_15762 for (2399ds/183Mi)
0.12/0.39	% (15870)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_15762 for (2399ds/4Mi)
0.12/0.39	% (15874)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_15762 for (2399ds/275Mi)
0.12/0.39	% (15872)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_15762 for (2399ds/2Mi)
0.12/0.39	% (15875)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_15762 for (2399ds/18Mi)
0.12/0.39	% (15872)Instruction limit reached!
0.12/0.39	% (15872)------------------------------
0.12/0.39	% (15872)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.12/0.39	% (15873)Instruction limit reached!
0.12/0.39	% (15873)------------------------------
0.12/0.39	% (15873)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.12/0.39	% (15872)Termination reason: Unknown
0.12/0.39	% (15872)Termination phase: Saturation
0.12/0.39	
0.12/0.39	% (15872)Memory used [KB]: 1023
0.12/0.39	% (15872)Time elapsed: 0.004 s
0.12/0.39	% (15872)Instructions burned: 2 (million)
0.12/0.39	% (15872)------------------------------
0.12/0.39	% (15872)------------------------------
0.12/0.39	% (15873)Termination reason: Unknown
0.12/0.39	% (15873)Termination phase: Saturation
0.12/0.39	
0.12/0.39	% (15873)Memory used [KB]: 1023
0.12/0.39	% (15873)Time elapsed: 0.004 s
0.12/0.39	% (15873)Instructions burned: 3 (million)
0.12/0.39	% (15873)------------------------------
0.12/0.39	% (15873)------------------------------
0.22/0.39	% (15874)Refutation not found, incomplete strategy
0.22/0.39	% (15874)------------------------------
0.22/0.39	% (15874)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.22/0.39	% (15874)Termination reason: Refutation not found, incomplete strategy
0.22/0.39	
0.22/0.39	
0.22/0.39	% (15874)Memory used [KB]: 5500
0.22/0.39	% (15874)Time elapsed: 0.005 s
0.22/0.39	% (15874)Instructions burned: 3 (million)
0.22/0.39	% (15874)------------------------------
0.22/0.39	% (15874)------------------------------
0.22/0.39	% (15870)Instruction limit reached!
0.22/0.39	% (15870)------------------------------
0.22/0.39	% (15870)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.22/0.39	% (15870)Termination reason: Unknown
0.22/0.39	% (15870)Termination phase: Saturation
0.22/0.39	
0.22/0.39	% (15870)Memory used [KB]: 5500
0.22/0.39	% (15870)Time elapsed: 0.006 s
0.22/0.39	% (15870)Instructions burned: 4 (million)
0.22/0.39	% (15870)------------------------------
0.22/0.39	% (15870)------------------------------
0.22/0.39	% (15869)First to succeed.
0.22/0.39	% (15871)Also succeeded, but the first one will report.
0.22/0.39	% (15869)Refutation found. Thanks to Tanya!
0.22/0.39	% SZS status Theorem for E---3.1_15762
0.22/0.39	% SZS output start Proof for E---3.1_15762
0.22/0.39	thf(func_def_0, type, in: $i > $i > $o).
0.22/0.39	thf(func_def_1, type, dsetconstr: $i > ($i > $o) > $i).
0.22/0.39	thf(func_def_4, type, binunion: $i > $i > $i).
0.22/0.39	thf(func_def_6, type, symdiff: $i > $i > $i).
0.22/0.39	thf(func_def_22, type, ph4: !>[X0: $tType]:(X0)).
0.22/0.39	thf(f64,plain,(
0.22/0.39	  $false),
0.22/0.39	  inference(trivial_inequality_removal,[],[f62])).
0.22/0.39	thf(f62,plain,(
0.22/0.39	  ($true = $false)),
0.22/0.39	  inference(superposition,[],[f61,f25])).
0.22/0.39	thf(f25,plain,(
0.22/0.39	  ((in @ sK0 @ sK2) = $true)),
0.22/0.39	  inference(cnf_transformation,[],[f19])).
0.22/0.39	thf(f19,plain,(
0.22/0.39	  (((in @ sK0 @ sK1) != $true) & ((in @ sK0 @ sK2) = $true) & ((in @ sK0 @ (symdiff @ sK1 @ sK2)) != $true)) & (binunionIR = $true) & (dsetconstrI = $true)),
0.22/0.39	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f18])).
0.22/0.39	thf(f18,plain,(
0.22/0.39	  ? [X0,X1,X2] : (($true != (in @ X0 @ X1)) & ((in @ X0 @ X2) = $true) & ($true != (in @ X0 @ (symdiff @ X1 @ X2)))) => (((in @ sK0 @ sK1) != $true) & ((in @ sK0 @ sK2) = $true) & ((in @ sK0 @ (symdiff @ sK1 @ sK2)) != $true))),
0.22/0.39	  introduced(choice_axiom,[])).
0.22/0.39	thf(f17,plain,(
0.22/0.39	  ? [X0,X1,X2] : (($true != (in @ X0 @ X1)) & ((in @ X0 @ X2) = $true) & ($true != (in @ X0 @ (symdiff @ X1 @ X2)))) & (binunionIR = $true) & (dsetconstrI = $true)),
0.22/0.39	  inference(flattening,[],[f16])).
0.22/0.39	thf(f16,plain,(
0.22/0.39	  (? [X0,X1,X2] : ((($true != (in @ X0 @ (symdiff @ X1 @ X2))) & ((in @ X0 @ X2) = $true)) & ($true != (in @ X0 @ X1))) & (binunionIR = $true)) & (dsetconstrI = $true)),
0.22/0.39	  inference(ennf_transformation,[],[f15])).
0.22/0.39	thf(f15,plain,(
0.22/0.39	  ~((dsetconstrI = $true) => ((binunionIR = $true) => ! [X0,X1,X2] : (($true != (in @ X0 @ X1)) => (((in @ X0 @ X2) = $true) => ($true = (in @ X0 @ (symdiff @ X1 @ X2)))))))),
0.22/0.39	  inference(flattening,[],[f14])).
0.22/0.39	thf(f14,plain,(
0.22/0.39	  ~((dsetconstrI = $true) => ((binunionIR = $true) => ! [X0,X1,X2] : (~($true = (in @ X0 @ X1)) => (((in @ X0 @ X2) = $true) => ($true = (in @ X0 @ (symdiff @ X1 @ X2)))))))),
0.22/0.39	  inference(fool_elimination,[],[f13])).
0.22/0.39	thf(f13,plain,(
0.22/0.39	  ~(dsetconstrI => (binunionIR => ! [X0,X1,X2] : (~(in @ X0 @ X1) => ((in @ X0 @ X2) => (in @ X0 @ (symdiff @ X1 @ X2))))))),
0.22/0.39	  inference(rectify,[],[f5])).
0.22/0.39	thf(f5,negated_conjecture,(
0.22/0.39	  ~(dsetconstrI => (binunionIR => ! [X2,X0,X4] : (~(in @ X2 @ X0) => ((in @ X2 @ X4) => (in @ X2 @ (symdiff @ X0 @ X4))))))),
0.22/0.39	  inference(negated_conjecture,[],[f4])).
0.22/0.39	thf(f4,conjecture,(
0.22/0.39	  dsetconstrI => (binunionIR => ! [X2,X0,X4] : (~(in @ X2 @ X0) => ((in @ X2 @ X4) => (in @ X2 @ (symdiff @ X0 @ X4)))))),
0.22/0.39	  file('/export/starexec/sandbox2/tmp/tmp.O38et99PZt/E---3.1_15762.p',symdiffI2)).
0.22/0.39	thf(f61,plain,(
0.22/0.39	  ((in @ sK0 @ sK2) = $false)),
0.22/0.39	  inference(trivial_inequality_removal,[],[f59])).
0.22/0.39	thf(f59,plain,(
0.22/0.39	  ($true = $false) | ((in @ sK0 @ sK2) = $false)),
0.22/0.39	  inference(superposition,[],[f38,f57])).
0.22/0.39	thf(f57,plain,(
0.22/0.39	  ((in @ sK0 @ (binunion @ sK1 @ sK2)) = $false)),
0.22/0.39	  inference(subsumption_resolution,[],[f55,f26])).
0.22/0.39	thf(f26,plain,(
0.22/0.39	  ((in @ sK0 @ sK1) != $true)),
0.22/0.39	  inference(cnf_transformation,[],[f19])).
0.22/0.39	thf(f55,plain,(
0.22/0.39	  ((in @ sK0 @ sK1) = $true) | ((in @ sK0 @ (binunion @ sK1 @ sK2)) = $false)),
0.22/0.39	  inference(not_proxy_clausification,[],[f54])).
0.22/0.39	thf(f54,plain,(
0.22/0.39	  ((~ (in @ sK0 @ sK1)) = $false) | ((in @ sK0 @ (binunion @ sK1 @ sK2)) = $false)),
0.22/0.39	  inference(binary_proxy_clausification,[],[f52])).
0.22/0.39	thf(f52,plain,(
0.22/0.39	  ((in @ sK0 @ (binunion @ sK1 @ sK2)) = $false) | (((~ (in @ sK0 @ sK1)) | (~ (in @ sK0 @ sK2))) = $false)),
0.22/0.39	  inference(beta_eta_normalization,[],[f51])).
0.22/0.39	thf(f51,plain,(
0.22/0.39	  (((^[Y0 : $i]: ((~ (in @ Y0 @ sK1)) | (~ (in @ Y0 @ sK2)))) @ sK0) = $false) | ((in @ sK0 @ (binunion @ sK1 @ sK2)) = $false)),
0.22/0.39	  inference(trivial_inequality_removal,[],[f50])).
0.22/0.39	thf(f50,plain,(
0.22/0.39	  ((in @ sK0 @ (binunion @ sK1 @ sK2)) = $false) | ($true != $true) | (((^[Y0 : $i]: ((~ (in @ Y0 @ sK1)) | (~ (in @ Y0 @ sK2)))) @ sK0) = $false)),
0.22/0.39	  inference(superposition,[],[f31,f47])).
0.22/0.39	thf(f47,plain,(
0.22/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (((in @ X3 @ (dsetconstr @ X2 @ X1)) = $true) | ($false = (in @ X3 @ X2)) | ((X1 @ X3) = $false)) )),
0.22/0.39	  inference(binary_proxy_clausification,[],[f46])).
0.22/0.39	thf(f46,plain,(
0.22/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (($true = ((X1 @ X3) => (in @ X3 @ (dsetconstr @ X2 @ X1)))) | ($false = (in @ X3 @ X2))) )),
0.22/0.39	  inference(binary_proxy_clausification,[],[f45])).
0.22/0.39	thf(f45,plain,(
0.22/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (($true = ((in @ X3 @ X2) => ((X1 @ X3) => (in @ X3 @ (dsetconstr @ X2 @ X1)))))) )),
0.22/0.39	  inference(beta_eta_normalization,[],[f44])).
0.22/0.39	thf(f44,plain,(
0.22/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : ((((^[Y0 : $i]: ((in @ Y0 @ X2) => ((X1 @ Y0) => (in @ Y0 @ (dsetconstr @ X2 @ X1))))) @ X3) = $true)) )),
0.22/0.39	  inference(pi_clausification,[],[f43])).
0.22/0.39	thf(f43,plain,(
0.22/0.39	  ( ! [X2 : $i,X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => ((X1 @ Y0) => (in @ Y0 @ (dsetconstr @ X2 @ X1)))))) = $true)) )),
0.22/0.39	  inference(beta_eta_normalization,[],[f42])).
0.22/0.39	thf(f42,plain,(
0.22/0.39	  ( ! [X2 : $i,X1 : $i > $o] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => ((X1 @ Y1) => (in @ Y1 @ (dsetconstr @ Y0 @ X1))))))) @ X2) = $true)) )),
0.22/0.39	  inference(pi_clausification,[],[f41])).
0.22/0.39	thf(f41,plain,(
0.22/0.39	  ( ! [X1 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => ((X1 @ Y1) => (in @ Y1 @ (dsetconstr @ Y0 @ X1)))))))))) )),
0.22/0.39	  inference(beta_eta_normalization,[],[f40])).
0.22/0.39	thf(f40,plain,(
0.22/0.39	  ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => ((Y0 @ Y2) => (in @ Y2 @ (dsetconstr @ Y1 @ Y0))))))))) @ X1) = $true)) )),
0.22/0.39	  inference(pi_clausification,[],[f39])).
0.22/0.39	thf(f39,plain,(
0.22/0.39	  ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => ((Y0 @ Y2) => (in @ Y2 @ (dsetconstr @ Y1 @ Y0)))))))))) = $true)),
0.22/0.39	  inference(beta_eta_normalization,[],[f30])).
0.22/0.39	thf(f30,plain,(
0.22/0.39	  ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => ((Y0 @ Y2) => (in @ Y2 @ (dsetconstr @ Y1 @ (^[Y3 : $i]: (Y0 @ Y3)))))))))))) = $true)),
0.22/0.39	  inference(definition_unfolding,[],[f22,f20])).
0.22/0.39	thf(f20,plain,(
0.22/0.39	  (dsetconstrI = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => ((Y0 @ Y2) => (in @ Y2 @ (dsetconstr @ Y1 @ (^[Y3 : $i]: (Y0 @ Y3)))))))))))))),
0.22/0.39	  inference(cnf_transformation,[],[f10])).
0.22/0.39	thf(f10,plain,(
0.22/0.39	  (dsetconstrI = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => ((Y0 @ Y2) => (in @ Y2 @ (dsetconstr @ Y1 @ (^[Y3 : $i]: (Y0 @ Y3)))))))))))))),
0.22/0.39	  inference(fool_elimination,[],[f9])).
0.22/0.39	thf(f9,plain,(
0.22/0.39	  (! [X0,X1,X2 : $i > $o] : ((in @ X0 @ X1) => ((X2 @ X0) => (in @ X0 @ (dsetconstr @ X1 @ (^[X3 : $i] : (X2 @ X3)))))) = dsetconstrI)),
0.22/0.39	  inference(rectify,[],[f1])).
0.22/0.39	thf(f1,axiom,(
0.22/0.39	  (! [X2,X0,X1 : $i > $o] : ((in @ X2 @ X0) => ((X1 @ X2) => (in @ X2 @ (dsetconstr @ X0 @ (^[X3 : $i] : (X1 @ X3)))))) = dsetconstrI)),
0.22/0.39	  file('/export/starexec/sandbox2/tmp/tmp.O38et99PZt/E---3.1_15762.p',dsetconstrI)).
0.22/0.39	thf(f22,plain,(
0.22/0.39	  (dsetconstrI = $true)),
0.22/0.39	  inference(cnf_transformation,[],[f19])).
0.22/0.39	thf(f31,plain,(
0.22/0.39	  ($true != (in @ sK0 @ (dsetconstr @ (binunion @ sK1 @ sK2) @ (^[Y0 : $i]: ((~ (in @ Y0 @ sK1)) | (~ (in @ Y0 @ sK2)))))))),
0.22/0.39	  inference(beta_eta_normalization,[],[f28])).
0.22/0.39	thf(f28,plain,(
0.22/0.39	  ($true != (in @ sK0 @ ((^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ (binunion @ Y0 @ Y1) @ (^[Y2 : $i]: ((~ (in @ Y2 @ Y0)) | (~ (in @ Y2 @ Y1)))))))) @ sK1 @ sK2)))),
0.22/0.39	  inference(definition_unfolding,[],[f24,f27])).
0.22/0.39	thf(f27,plain,(
0.22/0.39	  (symdiff = (^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ (binunion @ Y0 @ Y1) @ (^[Y2 : $i]: ((~ (in @ Y2 @ Y0)) | (~ (in @ Y2 @ Y1)))))))))),
0.22/0.39	  inference(cnf_transformation,[],[f8])).
0.22/0.39	thf(f8,plain,(
0.22/0.39	  (symdiff = (^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ (binunion @ Y0 @ Y1) @ (^[Y2 : $i]: ((~ (in @ Y2 @ Y0)) | (~ (in @ Y2 @ Y1)))))))))),
0.22/0.39	  inference(fool_elimination,[],[f7])).
0.22/0.39	thf(f7,plain,(
0.22/0.39	  ((^[X0 : $i, X1 : $i] : (dsetconstr @ (binunion @ X0 @ X1) @ (^[X2 : $i] : (~(in @ X2 @ X1) | ~(in @ X2 @ X0))))) = symdiff)),
0.22/0.39	  inference(rectify,[],[f3])).
0.22/0.39	thf(f3,axiom,(
0.22/0.39	  ((^[X0 : $i, X4 : $i] : (dsetconstr @ (binunion @ X0 @ X4) @ (^[X2 : $i] : (~(in @ X2 @ X4) | ~(in @ X2 @ X0))))) = symdiff)),
0.22/0.39	  file('/export/starexec/sandbox2/tmp/tmp.O38et99PZt/E---3.1_15762.p',symdiff)).
0.22/0.39	thf(f24,plain,(
0.22/0.39	  ((in @ sK0 @ (symdiff @ sK1 @ sK2)) != $true)),
0.22/0.39	  inference(cnf_transformation,[],[f19])).
0.22/0.39	thf(f38,plain,(
0.22/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (in @ X1 @ (binunion @ X2 @ X3))) | ((in @ X1 @ X3) = $false)) )),
0.22/0.39	  inference(binary_proxy_clausification,[],[f37])).
0.22/0.39	thf(f37,plain,(
0.22/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((in @ X1 @ X3) => (in @ X1 @ (binunion @ X2 @ X3))) = $true)) )),
0.22/0.39	  inference(beta_eta_normalization,[],[f36])).
0.22/0.39	thf(f36,plain,(
0.22/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ X1 @ Y0) => (in @ X1 @ (binunion @ X2 @ Y0)))) @ X3) = $true)) )),
0.22/0.39	  inference(pi_clausification,[],[f35])).
0.22/0.39	thf(f35,plain,(
0.22/0.39	  ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((in @ X1 @ Y0) => (in @ X1 @ (binunion @ X2 @ Y0))))) = $true)) )),
0.22/0.39	  inference(beta_eta_normalization,[],[f34])).
0.22/0.39	thf(f34,plain,(
0.22/0.39	  ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ X1 @ Y1) => (in @ X1 @ (binunion @ Y0 @ Y1)))))) @ X2))) )),
0.22/0.39	  inference(pi_clausification,[],[f33])).
0.22/0.39	thf(f33,plain,(
0.22/0.39	  ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ X1 @ Y1) => (in @ X1 @ (binunion @ Y0 @ Y1))))))))) )),
0.22/0.39	  inference(beta_eta_normalization,[],[f32])).
0.22/0.39	thf(f32,plain,(
0.22/0.39	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ Y2) => (in @ Y0 @ (binunion @ Y1 @ Y2)))))))) @ X1) = $true)) )),
0.22/0.39	  inference(pi_clausification,[],[f29])).
0.22/0.39	thf(f29,plain,(
0.22/0.39	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ Y2) => (in @ Y0 @ (binunion @ Y1 @ Y2))))))))) = $true)),
0.22/0.39	  inference(definition_unfolding,[],[f23,f21])).
0.22/0.39	thf(f21,plain,(
0.22/0.39	  (binunionIR = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ Y2) => (in @ Y0 @ (binunion @ Y1 @ Y2))))))))))),
0.22/0.39	  inference(cnf_transformation,[],[f12])).
0.22/0.39	thf(f12,plain,(
0.22/0.39	  (binunionIR = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ Y2) => (in @ Y0 @ (binunion @ Y1 @ Y2))))))))))),
0.22/0.39	  inference(fool_elimination,[],[f11])).
0.22/0.39	thf(f11,plain,(
0.22/0.39	  (! [X0,X1,X2] : ((in @ X2 @ X0) => (in @ X2 @ (binunion @ X1 @ X0))) = binunionIR)),
0.22/0.39	  inference(rectify,[],[f2])).
0.22/0.39	thf(f2,axiom,(
0.22/0.39	  (! [X4,X0,X2] : ((in @ X2 @ X4) => (in @ X2 @ (binunion @ X0 @ X4))) = binunionIR)),
0.22/0.39	  file('/export/starexec/sandbox2/tmp/tmp.O38et99PZt/E---3.1_15762.p',binunionIR)).
0.22/0.39	thf(f23,plain,(
0.22/0.39	  (binunionIR = $true)),
0.22/0.39	  inference(cnf_transformation,[],[f19])).
0.22/0.39	% SZS output end Proof for E---3.1_15762
0.22/0.39	% (15869)------------------------------
0.22/0.39	% (15869)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.22/0.39	% (15869)Termination reason: Refutation
0.22/0.39	
0.22/0.39	% (15869)Memory used [KB]: 5500
0.22/0.39	% (15869)Time elapsed: 0.009 s
0.22/0.39	% (15869)Instructions burned: 5 (million)
0.22/0.39	% (15869)------------------------------
0.22/0.39	% (15869)------------------------------
0.22/0.39	% (15868)Success in time 0.011 s
0.22/0.40	EOF