0.07/0.13	% Problem    : Vampire---4.8_15219 : TPTP v0.0.0. Released v0.0.0.
0.07/0.14	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.13/0.35	% Computer : n014.cluster.edu
0.13/0.35	% Model    : x86_64 x86_64
0.13/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.35	% Memory   : 8042.1875MB
0.13/0.35	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.35	% CPULimit   : 1440
0.13/0.35	% WCLimit    : 180
0.13/0.35	% DateTime   : Mon Jul  3 13:00:53 EDT 2023
0.13/0.35	% CPUTime    : 
0.13/0.36	This is a THF_ problem
0.13/0.36	Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.w8uBeTwsJG/Vampire---4.8_15219 -m 12000  -t 180
0.13/0.38	% (15334)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi)
0.13/0.38	% (15331)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi)
0.13/0.38	% (15333)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi)
0.13/0.38	% (15327)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi)
0.13/0.38	% (15328)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi)
0.13/0.38	% (15330)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi)
0.13/0.38	% (15333)Instruction limit reached!
0.13/0.38	% (15333)------------------------------
0.13/0.38	% (15333)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.13/0.38	% (15333)Termination reason: Unknown
0.13/0.38	% (15333)Termination phase: Saturation
0.13/0.38	
0.13/0.38	% (15333)Memory used [KB]: 5500
0.13/0.38	% (15333)Time elapsed: 0.004 s
0.13/0.38	% (15333)Instructions burned: 5 (million)
0.13/0.38	% (15333)------------------------------
0.13/0.38	% (15333)------------------------------
0.13/0.38	% (15334)Refutation not found, incomplete strategy
0.13/0.38	% (15334)------------------------------
0.13/0.38	% (15334)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.13/0.38	% (15334)Termination reason: Refutation not found, incomplete strategy
0.13/0.38	
0.13/0.38	
0.13/0.38	% (15334)Memory used [KB]: 5500
0.13/0.38	% (15334)Time elapsed: 0.004 s
0.13/0.38	% (15334)Instructions burned: 4 (million)
0.13/0.38	% (15334)------------------------------
0.13/0.38	% (15334)------------------------------
0.13/0.38	% (15328)Refutation not found, incomplete strategy
0.13/0.38	% (15328)------------------------------
0.13/0.38	% (15328)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.13/0.38	% (15328)Termination reason: Refutation not found, incomplete strategy
0.13/0.38	
0.13/0.38	
0.13/0.38	% (15328)Memory used [KB]: 5500
0.13/0.38	% (15328)Time elapsed: 0.006 s
0.13/0.38	% (15328)Instructions burned: 5 (million)
0.13/0.38	% (15328)------------------------------
0.13/0.38	% (15328)------------------------------
0.13/0.38	% (15332)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1799ds/74Mi)
0.13/0.39	% (15331)Instruction limit reached!
0.13/0.39	% (15331)------------------------------
0.13/0.39	% (15331)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.13/0.39	% (15331)Termination reason: Unknown
0.13/0.39	% (15331)Termination phase: Saturation
0.13/0.39	
0.13/0.39	% (15331)Memory used [KB]: 5756
0.13/0.39	% (15331)Time elapsed: 0.011 s
0.13/0.39	% (15331)Instructions burned: 17 (million)
0.13/0.39	% (15331)------------------------------
0.13/0.39	% (15331)------------------------------
0.13/0.39	% (15330)First to succeed.
0.13/0.39	% (15329)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi)
0.13/0.39	% (15330)Refutation found. Thanks to Tanya!
0.13/0.39	% SZS status Theorem for Vampire---4
0.13/0.39	% SZS output start Proof for Vampire---4
0.13/0.39	thf(func_def_0, type, in: $i > $i > $o).
0.13/0.39	thf(func_def_1, type, dsetconstr: $i > ($i > $o) > $i).
0.13/0.39	thf(func_def_4, type, kpair: $i > $i > $i).
0.13/0.39	thf(func_def_5, type, cartprod: $i > $i > $i).
0.13/0.39	thf(func_def_8, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
0.13/0.39	thf(func_def_24, type, sK2: $i > $i > $o).
0.13/0.39	thf(func_def_29, type, ph6: !>[X0: $tType]:(X0)).
0.13/0.39	thf(f137,plain,(
0.13/0.39	  $false),
0.13/0.39	  inference(subsumption_resolution,[],[f134,f27])).
0.13/0.39	thf(f27,plain,(
0.13/0.39	  ((sK2 @ sK4 @ sK3) != $true)),
0.13/0.39	  inference(cnf_transformation,[],[f21])).
0.13/0.39	thf(f21,plain,(
0.13/0.39	  (dsetconstrER = $true) & (($true = (in @ (kpair @ sK4 @ sK3) @ (dpsetconstr @ sK1 @ sK0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK2 @ Y0 @ Y1))))))) & ((sK2 @ sK4 @ sK3) != $true)) & (setukpairinjL = $true) & (setukpairinjR = $true)),
0.13/0.39	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f19,f20])).
0.13/0.39	thf(f20,plain,(
0.13/0.39	  ? [X0,X1,X2 : $i > $i > $o,X3,X4] : (((in @ (kpair @ X4 @ X3) @ (dpsetconstr @ X1 @ X0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (X2 @ Y0 @ Y1)))))) = $true) & ((X2 @ X4 @ X3) != $true)) => (($true = (in @ (kpair @ sK4 @ sK3) @ (dpsetconstr @ sK1 @ sK0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK2 @ Y0 @ Y1))))))) & ((sK2 @ sK4 @ sK3) != $true))),
0.13/0.39	  introduced(choice_axiom,[])).
0.13/0.39	thf(f19,plain,(
0.13/0.39	  (dsetconstrER = $true) & ? [X0,X1,X2 : $i > $i > $o,X3,X4] : (((in @ (kpair @ X4 @ X3) @ (dpsetconstr @ X1 @ X0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (X2 @ Y0 @ Y1)))))) = $true) & ((X2 @ X4 @ X3) != $true)) & (setukpairinjL = $true) & (setukpairinjR = $true)),
0.13/0.39	  inference(flattening,[],[f18])).
0.13/0.39	thf(f18,plain,(
0.13/0.39	  ((? [X0,X1,X2 : $i > $i > $o,X3,X4] : (((in @ (kpair @ X4 @ X3) @ (dpsetconstr @ X1 @ X0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (X2 @ Y0 @ Y1)))))) = $true) & ((X2 @ X4 @ X3) != $true)) & (setukpairinjR = $true)) & (setukpairinjL = $true)) & (dsetconstrER = $true)),
0.13/0.39	  inference(ennf_transformation,[],[f9])).
0.13/0.39	thf(f9,plain,(
0.13/0.39	  ~((dsetconstrER = $true) => ((setukpairinjL = $true) => ((setukpairinjR = $true) => ! [X0,X1,X2 : $i > $i > $o,X3,X4] : (((in @ (kpair @ X4 @ X3) @ (dpsetconstr @ X1 @ X0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (X2 @ Y0 @ Y1)))))) = $true) => ((X2 @ X4 @ X3) = $true)))))),
0.13/0.39	  inference(fool_elimination,[],[f8])).
0.13/0.39	thf(f8,plain,(
0.13/0.39	  ~(dsetconstrER => (setukpairinjL => (setukpairinjR => ! [X0,X1,X2 : $i > $i > $o,X3,X4] : ((in @ (kpair @ X4 @ X3) @ (dpsetconstr @ X1 @ X0 @ (^[X5 : $i, X6 : $i] : (X2 @ X5 @ X6)))) => (X2 @ X4 @ X3)))))),
0.13/0.39	  inference(rectify,[],[f6])).
0.13/0.39	thf(f6,negated_conjecture,(
0.13/0.39	  ~(dsetconstrER => (setukpairinjL => (setukpairinjR => ! [X6,X0,X1 : $i > $i > $o,X3,X2] : ((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X0 @ X6 @ (^[X4 : $i, X5 : $i] : (X1 @ X4 @ X5)))) => (X1 @ X2 @ X3)))))),
0.13/0.39	  inference(negated_conjecture,[],[f5])).
0.13/0.39	thf(f5,conjecture,(
0.13/0.39	  dsetconstrER => (setukpairinjL => (setukpairinjR => ! [X6,X0,X1 : $i > $i > $o,X3,X2] : ((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X0 @ X6 @ (^[X4 : $i, X5 : $i] : (X1 @ X4 @ X5)))) => (X1 @ X2 @ X3))))),
0.13/0.39	  file('/export/starexec/sandbox/tmp/tmp.w8uBeTwsJG/Vampire---4.8_15219',dpsetconstrER)).
0.13/0.39	thf(f134,plain,(
0.13/0.39	  ((sK2 @ sK4 @ sK3) = $true)),
0.13/0.39	  inference(backward_demodulation,[],[f111,f127])).
0.13/0.39	thf(f127,plain,(
0.13/0.39	  (sK4 = sK7)),
0.13/0.39	  inference(equality_resolution,[],[f98])).
0.13/0.39	thf(f98,plain,(
0.13/0.39	  ( ! [X0 : $i,X1 : $i] : (((kpair @ X0 @ X1) != (kpair @ sK4 @ sK3)) | (sK7 = X0)) )),
0.13/0.39	  inference(superposition,[],[f53,f82])).
0.13/0.39	thf(f82,plain,(
0.13/0.39	  ((kpair @ sK7 @ sK8) = (kpair @ sK4 @ sK3))),
0.13/0.39	  inference(equality_proxy_clausification,[],[f81])).
0.13/0.39	thf(f81,plain,(
0.13/0.39	  (((kpair @ sK7 @ sK8) = (kpair @ sK4 @ sK3)) = $true)),
0.13/0.39	  inference(binary_proxy_clausification,[],[f79])).
0.13/0.39	thf(f79,plain,(
0.13/0.39	  ((((kpair @ sK7 @ sK8) = (kpair @ sK4 @ sK3)) & (in @ sK8 @ sK0)) = $true)),
0.13/0.39	  inference(binary_proxy_clausification,[],[f77])).
0.13/0.39	thf(f77,plain,(
0.13/0.39	  ($true = ((((kpair @ sK7 @ sK8) = (kpair @ sK4 @ sK3)) & (in @ sK8 @ sK0)) & (sK2 @ sK7 @ sK8)))),
0.13/0.39	  inference(beta_eta_normalization,[],[f76])).
0.13/0.39	thf(f76,plain,(
0.13/0.39	  (((^[Y0 : $i]: ((((kpair @ sK7 @ Y0) = (kpair @ sK4 @ sK3)) & (in @ Y0 @ sK0)) & (sK2 @ sK7 @ Y0))) @ sK8) = $true)),
0.13/0.39	  inference(sigma_clausification,[],[f75])).
0.13/0.39	thf(f75,plain,(
0.13/0.39	  ((?? @ $i @ (^[Y0 : $i]: ((((kpair @ sK7 @ Y0) = (kpair @ sK4 @ sK3)) & (in @ Y0 @ sK0)) & (sK2 @ sK7 @ Y0)))) = $true)),
0.13/0.39	  inference(binary_proxy_clausification,[],[f73])).
0.13/0.39	thf(f73,plain,(
0.13/0.39	  (((?? @ $i @ (^[Y0 : $i]: ((((kpair @ sK7 @ Y0) = (kpair @ sK4 @ sK3)) & (in @ Y0 @ sK0)) & (sK2 @ sK7 @ Y0)))) & (in @ sK7 @ sK1)) = $true)),
0.13/0.39	  inference(beta_eta_normalization,[],[f72])).
0.13/0.39	thf(f72,plain,(
0.13/0.39	  (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((((kpair @ Y0 @ Y1) = (kpair @ sK4 @ sK3)) & (in @ Y1 @ sK0)) & (sK2 @ Y0 @ Y1)))) & (in @ Y0 @ sK1))) @ sK7) = $true)),
0.13/0.39	  inference(sigma_clausification,[],[f71])).
0.13/0.39	thf(f71,plain,(
0.13/0.39	  ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((((kpair @ Y0 @ Y1) = (kpair @ sK4 @ sK3)) & (in @ Y1 @ sK0)) & (sK2 @ Y0 @ Y1)))) & (in @ Y0 @ sK1)))) = $true)),
0.13/0.39	  inference(beta_eta_normalization,[],[f70])).
0.13/0.39	thf(f70,plain,(
0.13/0.39	  (((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((((kpair @ Y1 @ Y2) = Y0) & (in @ Y2 @ sK0)) & (sK2 @ Y1 @ Y2)))) & (in @ Y1 @ sK1))))) @ (kpair @ sK4 @ sK3)) = $true)),
0.13/0.39	  inference(trivial_inequality_removal,[],[f69])).
0.13/0.39	thf(f69,plain,(
0.13/0.39	  (((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((((kpair @ Y1 @ Y2) = Y0) & (in @ Y2 @ sK0)) & (sK2 @ Y1 @ Y2)))) & (in @ Y1 @ sK1))))) @ (kpair @ sK4 @ sK3)) = $true) | ($false = $true)),
0.13/0.39	  inference(superposition,[],[f42,f65])).
0.13/0.39	thf(f65,plain,(
0.13/0.39	  ((in @ (kpair @ sK4 @ sK3) @ (dsetconstr @ (cartprod @ sK1 @ sK0) @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((((kpair @ Y1 @ Y2) = Y0) & (in @ Y2 @ sK0)) & (sK2 @ Y1 @ Y2)))) & (in @ Y1 @ sK1))))))) = $true)),
0.13/0.39	  inference(beta_eta_normalization,[],[f32])).
0.13/0.39	thf(f32,plain,(
0.13/0.39	  ((in @ (kpair @ sK4 @ sK3) @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (dsetconstr @ (cartprod @ Y0 @ Y1) @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((((kpair @ Y4 @ Y5) = Y3) & (in @ Y5 @ Y1)) & (Y2 @ Y4 @ Y5)))) & (in @ Y4 @ Y0))))))))))) @ sK1 @ sK0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK2 @ Y0 @ Y1)))))) = $true)),
0.13/0.39	  inference(definition_unfolding,[],[f28,f24])).
0.13/0.39	thf(f24,plain,(
0.13/0.39	  (dpsetconstr = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (dsetconstr @ (cartprod @ Y0 @ Y1) @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((((kpair @ Y4 @ Y5) = Y3) & (in @ Y5 @ Y1)) & (Y2 @ Y4 @ Y5)))) & (in @ Y4 @ Y0))))))))))))),
0.13/0.39	  inference(cnf_transformation,[],[f13])).
0.13/0.39	thf(f13,plain,(
0.13/0.39	  (dpsetconstr = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (dsetconstr @ (cartprod @ Y0 @ Y1) @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((((kpair @ Y4 @ Y5) = Y3) & (in @ Y5 @ Y1)) & (Y2 @ Y4 @ Y5)))) & (in @ Y4 @ Y0))))))))))))),
0.13/0.39	  inference(fool_elimination,[],[f12])).
0.13/0.39	thf(f12,plain,(
0.13/0.39	  ((^[X0 : $i, X1 : $i, X2 : $i > $i > $o] : (dsetconstr @ (cartprod @ X0 @ X1) @ (^[X3 : $i] : (? [X4] : ((in @ X4 @ X0) & ? [X5] : ((X2 @ X4 @ X5) & (in @ X5 @ X1) & ((kpair @ X4 @ X5) = X3))))))) = dpsetconstr)),
0.13/0.39	  inference(rectify,[],[f4])).
0.13/0.39	thf(f4,axiom,(
0.13/0.39	  ((^[X0 : $i, X6 : $i, X1 : $i > $i > $o] : (dsetconstr @ (cartprod @ X0 @ X6) @ (^[X5 : $i] : (? [X2] : ((in @ X2 @ X0) & ? [X3] : ((X1 @ X2 @ X3) & (in @ X3 @ X6) & ((kpair @ X2 @ X3) = X5))))))) = dpsetconstr)),
0.13/0.39	  file('/export/starexec/sandbox/tmp/tmp.w8uBeTwsJG/Vampire---4.8_15219',dpsetconstr)).
0.13/0.39	thf(f28,plain,(
0.13/0.39	  ($true = (in @ (kpair @ sK4 @ sK3) @ (dpsetconstr @ sK1 @ sK0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK2 @ Y0 @ Y1)))))))),
0.13/0.39	  inference(cnf_transformation,[],[f21])).
0.13/0.39	thf(f42,plain,(
0.13/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (($false = (in @ X2 @ (dsetconstr @ X3 @ X1))) | ((X1 @ X2) = $true)) )),
0.13/0.39	  inference(binary_proxy_clausification,[],[f41])).
0.13/0.39	thf(f41,plain,(
0.13/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : ((((in @ X2 @ (dsetconstr @ X3 @ X1)) => (X1 @ X2)) = $true)) )),
0.13/0.39	  inference(beta_eta_normalization,[],[f40])).
0.13/0.39	thf(f40,plain,(
0.13/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (($true = ((^[Y0 : $i]: ((in @ X2 @ (dsetconstr @ Y0 @ X1)) => (X1 @ X2))) @ X3))) )),
0.13/0.39	  inference(pi_clausification,[],[f39])).
0.13/0.39	thf(f39,plain,(
0.13/0.39	  ( ! [X2 : $i,X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((in @ X2 @ (dsetconstr @ Y0 @ X1)) => (X1 @ X2)))) = $true)) )),
0.13/0.39	  inference(beta_eta_normalization,[],[f38])).
0.13/0.39	thf(f38,plain,(
0.13/0.39	  ( ! [X2 : $i,X1 : $i > $o] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (dsetconstr @ Y1 @ X1)) => (X1 @ Y0))))) @ X2))) )),
0.13/0.39	  inference(pi_clausification,[],[f37])).
0.13/0.39	thf(f37,plain,(
0.13/0.39	  ( ! [X1 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (dsetconstr @ Y1 @ X1)) => (X1 @ Y0)))))))) )),
0.13/0.39	  inference(beta_eta_normalization,[],[f36])).
0.13/0.39	thf(f36,plain,(
0.13/0.39	  ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (dsetconstr @ Y2 @ Y0)) => (Y0 @ Y1))))))) @ X1) = $true)) )),
0.13/0.39	  inference(pi_clausification,[],[f35])).
0.13/0.39	thf(f35,plain,(
0.13/0.39	  ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (dsetconstr @ Y2 @ Y0)) => (Y0 @ Y1)))))))) = $true)),
0.13/0.39	  inference(beta_eta_normalization,[],[f31])).
0.13/0.39	thf(f31,plain,(
0.13/0.39	  ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (dsetconstr @ Y2 @ (^[Y3 : $i]: (Y0 @ Y3)))) => (Y0 @ Y1)))))))))),
0.13/0.39	  inference(definition_unfolding,[],[f29,f22])).
0.13/0.39	thf(f22,plain,(
0.13/0.39	  (dsetconstrER = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (dsetconstr @ Y2 @ (^[Y3 : $i]: (Y0 @ Y3)))) => (Y0 @ Y1)))))))))),
0.13/0.39	  inference(cnf_transformation,[],[f11])).
0.13/0.39	thf(f11,plain,(
0.13/0.39	  (dsetconstrER = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (dsetconstr @ Y2 @ (^[Y3 : $i]: (Y0 @ Y3)))) => (Y0 @ Y1)))))))))),
0.13/0.39	  inference(fool_elimination,[],[f10])).
0.13/0.39	thf(f10,plain,(
0.13/0.39	  (! [X0,X1,X2 : $i > $o] : ((in @ X1 @ (dsetconstr @ X0 @ (^[X3 : $i] : (X2 @ X3)))) => (X2 @ X1)) = dsetconstrER)),
0.13/0.39	  inference(rectify,[],[f1])).
0.13/0.39	thf(f1,axiom,(
0.13/0.39	  (! [X0,X2,X1 : $i > $o] : ((in @ X2 @ (dsetconstr @ X0 @ (^[X3 : $i] : (X1 @ X3)))) => (X1 @ X2)) = dsetconstrER)),
0.13/0.39	  file('/export/starexec/sandbox/tmp/tmp.w8uBeTwsJG/Vampire---4.8_15219',dsetconstrER)).
0.13/0.39	thf(f29,plain,(
0.13/0.39	  (dsetconstrER = $true)),
0.13/0.39	  inference(cnf_transformation,[],[f21])).
0.13/0.39	thf(f53,plain,(
0.13/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((kpair @ X3 @ X1) != (kpair @ X4 @ X2)) | (X3 = X4)) )),
0.13/0.39	  inference(equality_proxy_clausification,[],[f52])).
0.13/0.39	thf(f52,plain,(
0.13/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (X4 = X3)) | ((kpair @ X3 @ X1) != (kpair @ X4 @ X2))) )),
0.13/0.39	  inference(equality_proxy_clausification,[],[f51])).
0.13/0.39	thf(f51,plain,(
0.13/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((kpair @ X4 @ X2) = (kpair @ X3 @ X1))) | ($true = (X4 = X3))) )),
0.13/0.39	  inference(binary_proxy_clausification,[],[f50])).
0.13/0.39	thf(f50,plain,(
0.13/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((((kpair @ X4 @ X2) = (kpair @ X3 @ X1)) => (X4 = X3)) = $true)) )),
0.13/0.39	  inference(beta_eta_normalization,[],[f49])).
0.13/0.39	thf(f49,plain,(
0.13/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: (((kpair @ Y0 @ X2) = (kpair @ X3 @ X1)) => (Y0 = X3))) @ X4) = $true)) )),
0.13/0.39	  inference(pi_clausification,[],[f48])).
0.13/0.39	thf(f48,plain,(
0.13/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((kpair @ Y0 @ X2) = (kpair @ X3 @ X1)) => (Y0 = X3)))))) )),
0.13/0.39	  inference(beta_eta_normalization,[],[f47])).
0.13/0.39	thf(f47,plain,(
0.13/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((kpair @ Y1 @ X2) = (kpair @ Y0 @ X1)) => (Y1 = Y0))))) @ X3) = $true)) )),
0.13/0.39	  inference(pi_clausification,[],[f46])).
0.13/0.39	thf(f46,plain,(
0.13/0.39	  ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((kpair @ Y1 @ X2) = (kpair @ Y0 @ X1)) => (Y1 = Y0)))))) = $true)) )),
0.13/0.39	  inference(beta_eta_normalization,[],[f45])).
0.13/0.39	thf(f45,plain,(
0.13/0.39	  ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((kpair @ Y2 @ Y0) = (kpair @ Y1 @ X1)) => (Y2 = Y1))))))) @ X2))) )),
0.13/0.39	  inference(pi_clausification,[],[f44])).
0.13/0.39	thf(f44,plain,(
0.13/0.39	  ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((kpair @ Y2 @ Y0) = (kpair @ Y1 @ X1)) => (Y2 = Y1)))))))))) )),
0.13/0.39	  inference(beta_eta_normalization,[],[f43])).
0.13/0.39	thf(f43,plain,(
0.13/0.39	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((kpair @ Y3 @ Y1) = (kpair @ Y2 @ Y0)) => (Y3 = Y2))))))))) @ X1) = $true)) )),
0.13/0.39	  inference(pi_clausification,[],[f33])).
0.13/0.39	thf(f33,plain,(
0.13/0.39	  ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((kpair @ Y3 @ Y1) = (kpair @ Y2 @ Y0)) => (Y3 = Y2)))))))))))),
0.13/0.39	  inference(definition_unfolding,[],[f26,f23])).
0.13/0.39	thf(f23,plain,(
0.13/0.39	  (setukpairinjL = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((kpair @ Y3 @ Y1) = (kpair @ Y2 @ Y0)) => (Y3 = Y2)))))))))))),
0.13/0.39	  inference(cnf_transformation,[],[f17])).
0.13/0.39	thf(f17,plain,(
0.13/0.39	  (setukpairinjL = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((kpair @ Y3 @ Y1) = (kpair @ Y2 @ Y0)) => (Y3 = Y2)))))))))))),
0.13/0.39	  inference(fool_elimination,[],[f16])).
0.13/0.39	thf(f16,plain,(
0.13/0.39	  (! [X0,X1,X2,X3] : (((kpair @ X0 @ X2) = (kpair @ X1 @ X3)) => (X0 = X1)) = setukpairinjL)),
0.13/0.39	  inference(rectify,[],[f2])).
0.13/0.39	thf(f2,axiom,(
0.13/0.39	  (! [X4,X2,X5,X3] : (((kpair @ X2 @ X3) = (kpair @ X4 @ X5)) => (X2 = X4)) = setukpairinjL)),
0.13/0.39	  file('/export/starexec/sandbox/tmp/tmp.w8uBeTwsJG/Vampire---4.8_15219',setukpairinjL)).
0.13/0.39	thf(f26,plain,(
0.13/0.39	  (setukpairinjL = $true)),
0.13/0.39	  inference(cnf_transformation,[],[f21])).
0.13/0.39	thf(f111,plain,(
0.13/0.39	  ((sK2 @ sK7 @ sK3) = $true)),
0.13/0.39	  inference(backward_demodulation,[],[f78,f106])).
0.13/0.39	thf(f106,plain,(
0.13/0.39	  (sK3 = sK8)),
0.13/0.39	  inference(equality_resolution,[],[f97])).
0.13/0.39	thf(f97,plain,(
0.13/0.39	  ( ! [X0 : $i,X1 : $i] : (((kpair @ X0 @ X1) != (kpair @ sK4 @ sK3)) | (sK8 = X1)) )),
0.13/0.39	  inference(superposition,[],[f64,f82])).
0.13/0.39	thf(f64,plain,(
0.13/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((kpair @ X2 @ X3) != (kpair @ X1 @ X4)) | (X3 = X4)) )),
0.13/0.39	  inference(equality_proxy_clausification,[],[f63])).
0.13/0.39	thf(f63,plain,(
0.13/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((kpair @ X2 @ X3) = (kpair @ X1 @ X4)) = $false) | (X3 = X4)) )),
0.13/0.39	  inference(equality_proxy_clausification,[],[f62])).
0.13/0.39	thf(f62,plain,(
0.13/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (X4 = X3)) | (((kpair @ X2 @ X3) = (kpair @ X1 @ X4)) = $false)) )),
0.13/0.39	  inference(binary_proxy_clausification,[],[f61])).
0.13/0.39	thf(f61,plain,(
0.13/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((((kpair @ X2 @ X3) = (kpair @ X1 @ X4)) => (X4 = X3)) = $true)) )),
0.13/0.39	  inference(beta_eta_normalization,[],[f60])).
0.13/0.39	thf(f60,plain,(
0.13/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((^[Y0 : $i]: (((kpair @ X2 @ X3) = (kpair @ X1 @ Y0)) => (Y0 = X3))) @ X4))) )),
0.13/0.39	  inference(pi_clausification,[],[f59])).
0.13/0.39	thf(f59,plain,(
0.13/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((kpair @ X2 @ X3) = (kpair @ X1 @ Y0)) => (Y0 = X3)))))) )),
0.13/0.39	  inference(beta_eta_normalization,[],[f58])).
0.13/0.39	thf(f58,plain,(
0.13/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((kpair @ X2 @ Y0) = (kpair @ X1 @ Y1)) => (Y1 = Y0))))) @ X3) = $true)) )),
0.13/0.39	  inference(pi_clausification,[],[f57])).
0.13/0.39	thf(f57,plain,(
0.13/0.39	  ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((kpair @ X2 @ Y0) = (kpair @ X1 @ Y1)) => (Y1 = Y0)))))) = $true)) )),
0.13/0.39	  inference(beta_eta_normalization,[],[f56])).
0.13/0.39	thf(f56,plain,(
0.13/0.39	  ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((kpair @ Y0 @ Y1) = (kpair @ X1 @ Y2)) => (Y2 = Y1))))))) @ X2))) )),
0.13/0.39	  inference(pi_clausification,[],[f55])).
0.13/0.39	thf(f55,plain,(
0.13/0.39	  ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((kpair @ Y0 @ Y1) = (kpair @ X1 @ Y2)) => (Y2 = Y1)))))))))) )),
0.13/0.39	  inference(beta_eta_normalization,[],[f54])).
0.13/0.39	thf(f54,plain,(
0.13/0.39	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((kpair @ Y1 @ Y2) = (kpair @ Y0 @ Y3)) => (Y3 = Y2))))))))) @ X1) = $true)) )),
0.13/0.39	  inference(pi_clausification,[],[f34])).
0.13/0.39	thf(f34,plain,(
0.13/0.39	  ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((kpair @ Y1 @ Y2) = (kpair @ Y0 @ Y3)) => (Y3 = Y2)))))))))))),
0.13/0.39	  inference(definition_unfolding,[],[f30,f25])).
0.13/0.39	thf(f25,plain,(
0.13/0.39	  (setukpairinjR = $true)),
0.13/0.39	  inference(cnf_transformation,[],[f21])).
0.13/0.39	thf(f30,plain,(
0.13/0.39	  (setukpairinjR = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((kpair @ Y1 @ Y2) = (kpair @ Y0 @ Y3)) => (Y3 = Y2)))))))))))),
0.13/0.39	  inference(cnf_transformation,[],[f15])).
0.13/0.39	thf(f15,plain,(
0.13/0.39	  (setukpairinjR = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((kpair @ Y1 @ Y2) = (kpair @ Y0 @ Y3)) => (Y3 = Y2)))))))))))),
0.13/0.39	  inference(fool_elimination,[],[f14])).
0.13/0.39	thf(f14,plain,(
0.13/0.39	  (setukpairinjR = ! [X0,X1,X2,X3] : (((kpair @ X2 @ X1) = (kpair @ X3 @ X0)) => (X0 = X1)))),
0.13/0.39	  inference(rectify,[],[f3])).
0.13/0.39	thf(f3,axiom,(
0.13/0.39	  (setukpairinjR = ! [X3,X5,X4,X2] : (((kpair @ X2 @ X3) = (kpair @ X4 @ X5)) => (X3 = X5)))),
0.13/0.39	  file('/export/starexec/sandbox/tmp/tmp.w8uBeTwsJG/Vampire---4.8_15219',setukpairinjR)).
0.13/0.39	thf(f78,plain,(
0.13/0.39	  ((sK2 @ sK7 @ sK8) = $true)),
0.13/0.39	  inference(binary_proxy_clausification,[],[f77])).
0.13/0.39	% SZS output end Proof for Vampire---4
0.13/0.39	% (15330)------------------------------
0.13/0.39	% (15330)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.13/0.39	% (15330)Termination reason: Refutation
0.13/0.39	
0.13/0.39	% (15330)Memory used [KB]: 5628
0.13/0.39	% (15330)Time elapsed: 0.016 s
0.13/0.39	% (15330)Instructions burned: 15 (million)
0.13/0.39	% (15330)------------------------------
0.13/0.39	% (15330)------------------------------
0.13/0.39	% (15326)Success in time 0.027 s
0.13/0.39	% Vampire---4.8 exiting
0.33/0.40	EOF