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 0.12/0.33 % Computer : n009.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1440 0.12/0.34 % WCLimit : 180 0.12/0.34 % DateTime : Thu Jul 4 06:47:54 EDT 2024 0.12/0.34 % CPUTime : 0.12/0.35 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.NOWJbljWW7/E---3.1_28587.p -m 16384 -t 180 0.22/0.39 % (28698)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_28587 for (1799ds/4Mi) 0.22/0.39 % (28699)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_28587 for (1799ds/27Mi) 0.22/0.39 % (28697)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_28587 for (1799ds/183Mi) 0.22/0.39 % (28700)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_28587 for (1799ds/2Mi) 0.22/0.39 % (28701)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_28587 for (1799ds/2Mi) 0.22/0.39 % (28702)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_28587 for (1799ds/275Mi) 0.22/0.39 % (28703)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_28587 for (1799ds/18Mi) 0.22/0.39 % (28701)Instruction limit reached! 0.22/0.39 % (28701)------------------------------ 0.22/0.39 % (28701)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.39 % (28701)Termination reason: Unknown 0.22/0.39 % (28701)Termination phase: shuffling 0.22/0.39 0.22/0.39 % (28701)Memory used [KB]: 1023 0.22/0.39 % (28701)Time elapsed: 0.003 s 0.22/0.39 % (28701)Instructions burned: 2 (million) 0.22/0.39 % (28701)------------------------------ 0.22/0.39 % (28701)------------------------------ 0.22/0.39 % (28700)Instruction limit reached! 0.22/0.39 % (28700)------------------------------ 0.22/0.39 % (28700)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.39 % (28700)Termination reason: Unknown 0.22/0.39 % (28700)Termination phase: Preprocessing 2 0.22/0.39 0.22/0.39 % (28700)Memory used [KB]: 1023 0.22/0.39 % (28700)Time elapsed: 0.004 s 0.22/0.39 % (28700)Instructions burned: 3 (million) 0.22/0.39 % (28700)------------------------------ 0.22/0.39 % (28700)------------------------------ 0.22/0.39 % (28698)Instruction limit reached! 0.22/0.39 % (28698)------------------------------ 0.22/0.39 % (28698)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.39 % (28698)Termination reason: Unknown 0.22/0.39 % (28698)Termination phase: Property scanning 0.22/0.39 0.22/0.39 % (28698)Memory used [KB]: 1023 0.22/0.39 % (28698)Time elapsed: 0.005 s 0.22/0.39 % (28698)Instructions burned: 5 (million) 0.22/0.39 % (28698)------------------------------ 0.22/0.39 % (28698)------------------------------ 0.22/0.39 % (28702)Refutation not found, incomplete strategy 0.22/0.39 % (28702)------------------------------ 0.22/0.39 % (28702)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.39 % (28702)Termination reason: Refutation not found, incomplete strategy 0.22/0.39 0.22/0.39 0.22/0.39 % (28702)Memory used [KB]: 5500 0.22/0.39 % (28702)Time elapsed: 0.006 s 0.22/0.39 % (28702)Instructions burned: 4 (million) 0.22/0.39 % (28702)------------------------------ 0.22/0.39 % (28702)------------------------------ 0.22/0.40 % (28703)Instruction limit reached! 0.22/0.40 % (28703)------------------------------ 0.22/0.40 % (28703)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.40 % (28703)Termination reason: Unknown 0.22/0.40 % (28703)Termination phase: Saturation 0.22/0.40 0.22/0.40 % (28703)Memory used [KB]: 5628 0.22/0.40 % (28703)Time elapsed: 0.014 s 0.22/0.40 % (28703)Instructions burned: 18 (million) 0.22/0.40 % (28703)------------------------------ 0.22/0.40 % (28703)------------------------------ 0.22/0.40 % (28704)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_28587 for (1799ds/3Mi) 0.22/0.40 % (28705)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_28587 for (1799ds/37Mi) 0.22/0.41 % (28699)Instruction limit reached! 0.22/0.41 % (28699)------------------------------ 0.22/0.41 % (28699)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.41 % (28699)Termination reason: Unknown 0.22/0.41 % (28699)Termination phase: Saturation 0.22/0.41 0.22/0.41 % (28699)Memory used [KB]: 5756 0.22/0.41 % (28699)Time elapsed: 0.020 s 0.22/0.41 % (28699)Instructions burned: 28 (million) 0.22/0.41 % (28699)------------------------------ 0.22/0.41 % (28699)------------------------------ 0.22/0.41 % (28706)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_28587 for (1799ds/15Mi) 0.22/0.41 % (28704)Instruction limit reached! 0.22/0.41 % (28704)------------------------------ 0.22/0.41 % (28704)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.41 % (28704)Termination reason: Unknown 0.22/0.41 % (28704)Termination phase: Property scanning 0.22/0.41 0.22/0.41 % (28704)Memory used [KB]: 1023 0.22/0.41 % (28704)Time elapsed: 0.004 s 0.22/0.41 % (28704)Instructions burned: 4 (million) 0.22/0.41 % (28704)------------------------------ 0.22/0.41 % (28704)------------------------------ 0.22/0.41 % (28707)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_28587 for (1799ds/3Mi) 0.22/0.41 % (28707)Instruction limit reached! 0.22/0.41 % (28707)------------------------------ 0.22/0.41 % (28707)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.41 % (28707)Termination reason: Unknown 0.22/0.41 % (28707)Termination phase: Property scanning 0.22/0.41 0.22/0.41 % (28707)Memory used [KB]: 1023 0.22/0.41 % (28707)Time elapsed: 0.004 s 0.22/0.41 % (28707)Instructions burned: 3 (million) 0.22/0.41 % (28707)------------------------------ 0.22/0.41 % (28707)------------------------------ 0.22/0.41 % (28706)Refutation not found, incomplete strategy 0.22/0.41 % (28706)------------------------------ 0.22/0.41 % (28706)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.41 % (28706)Termination reason: Refutation not found, incomplete strategy 0.22/0.41 0.22/0.41 0.22/0.41 % (28706)Memory used [KB]: 5628 0.22/0.41 % (28706)Time elapsed: 0.010 s 0.22/0.41 % (28706)Instructions burned: 13 (million) 0.22/0.41 % (28706)------------------------------ 0.22/0.41 % (28706)------------------------------ 0.22/0.42 % (28708)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_28587 for (1799ds/1041Mi) 0.22/0.42 % (28709)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_28587 for (1799ds/7Mi) 0.22/0.42 % (28710)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_28587 for (1799ds/16Mi) 0.22/0.42 % (28709)Instruction limit reached! 0.22/0.42 % (28709)------------------------------ 0.22/0.42 % (28709)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.42 % (28709)Termination reason: Unknown 0.22/0.42 % (28709)Termination phase: Saturation 0.22/0.42 0.22/0.43 % (28709)Memory used [KB]: 1023 0.22/0.43 % (28709)Time elapsed: 0.006 s 0.22/0.43 % (28709)Instructions burned: 7 (million) 0.22/0.43 % (28709)------------------------------ 0.22/0.43 % (28709)------------------------------ 0.22/0.43 % (28711)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_28587 for (1799ds/3Mi) 0.22/0.43 % (28705)Instruction limit reached! 0.22/0.43 % (28705)------------------------------ 0.22/0.43 % (28705)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.43 % (28705)Termination reason: Unknown 0.22/0.43 % (28705)Termination phase: Saturation 0.22/0.43 0.22/0.43 % (28705)Memory used [KB]: 5884 0.22/0.43 % (28705)Time elapsed: 0.024 s 0.22/0.43 % (28705)Instructions burned: 38 (million) 0.22/0.43 % (28705)------------------------------ 0.22/0.43 % (28705)------------------------------ 0.22/0.43 % (28711)Instruction limit reached! 0.22/0.43 % (28711)------------------------------ 0.22/0.43 % (28711)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.43 % (28711)Termination reason: Unknown 0.22/0.43 % (28711)Termination phase: Preprocessing 1 0.22/0.43 0.22/0.43 % (28711)Memory used [KB]: 1023 0.22/0.43 % (28711)Time elapsed: 0.004 s 0.22/0.43 % (28711)Instructions burned: 4 (million) 0.22/0.43 % (28711)------------------------------ 0.22/0.43 % (28711)------------------------------ 0.22/0.43 % (28712)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_28587 for (1799ds/3Mi) 0.22/0.43 % (28710)Instruction limit reached! 0.22/0.43 % (28710)------------------------------ 0.22/0.43 % (28710)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.43 % (28710)Termination reason: Unknown 0.22/0.43 % (28710)Termination phase: Saturation 0.22/0.43 0.22/0.43 % (28710)Memory used [KB]: 5628 0.22/0.43 % (28710)Time elapsed: 0.012 s 0.22/0.43 % (28710)Instructions burned: 17 (million) 0.22/0.43 % (28710)------------------------------ 0.22/0.43 % (28710)------------------------------ 0.22/0.43 % (28712)Instruction limit reached! 0.22/0.43 % (28712)------------------------------ 0.22/0.43 % (28712)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.43 % (28712)Termination reason: Unknown 0.22/0.43 % (28712)Termination phase: Unused predicate definition removal 0.22/0.43 0.22/0.43 % (28712)Memory used [KB]: 1023 0.22/0.43 % (28712)Time elapsed: 0.004 s 0.22/0.43 % (28712)Instructions burned: 3 (million) 0.22/0.43 % (28712)------------------------------ 0.22/0.43 % (28712)------------------------------ 0.22/0.44 % (28708)First to succeed. 0.22/0.44 % (28713)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on E---3.1_28587 for (1799ds/7Mi) 0.22/0.44 % (28708)Refutation found. Thanks to Tanya! 0.22/0.44 % SZS status Theorem for E---3.1_28587 0.22/0.44 % SZS output start Proof for E---3.1_28587 0.22/0.44 thf(type_def_6, type, individuals: $tType). 0.22/0.44 thf(func_def_1, type, prop_a: $i > $o). 0.22/0.44 thf(func_def_2, type, prop_b: $i > $o). 0.22/0.44 thf(func_def_3, type, prop_c: $i > $o). 0.22/0.44 thf(func_def_4, type, mfalse: $i > $o). 0.22/0.44 thf(func_def_5, type, mtrue: $i > $o). 0.22/0.44 thf(func_def_6, type, mnot: ($i > $o) > $i > $o). 0.22/0.44 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.22/0.44 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o). 0.22/0.44 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o). 0.22/0.44 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o). 0.22/0.44 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.22/0.44 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 0.22/0.44 thf(func_def_14, type, individuals: $tType). 0.22/0.44 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o). 0.22/0.44 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o). 0.22/0.44 thf(func_def_17, type, mvalid: ($i > $o) > $o). 0.22/0.44 thf(func_def_18, type, msatisfiable: ($i > $o) > $o). 0.22/0.44 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o). 0.22/0.44 thf(func_def_20, type, minvalid: ($i > $o) > $o). 0.22/0.44 thf(func_def_21, type, rel: $i > $i > $o). 0.22/0.44 thf(func_def_22, type, icl_atom: ($i > $o) > $i > $o). 0.22/0.44 thf(func_def_23, type, icl_princ: ($i > $o) > $i > $o). 0.22/0.44 thf(func_def_24, type, icl_and: ($i > $o) > ($i > $o) > $i > $o). 0.22/0.44 thf(func_def_25, type, icl_or: ($i > $o) > ($i > $o) > $i > $o). 0.22/0.44 thf(func_def_26, type, icl_impl: ($i > $o) > ($i > $o) > $i > $o). 0.22/0.44 thf(func_def_27, type, icl_true: $i > $o). 0.22/0.44 thf(func_def_28, type, icl_false: $i > $o). 0.22/0.44 thf(func_def_29, type, icl_says: ($i > $o) > ($i > $o) > $i > $o). 0.22/0.44 thf(func_def_30, type, iclval: ($i > $o) > $o). 0.22/0.44 thf(func_def_31, type, icl_impl_princ: ($i > $o) > ($i > $o) > $i > $o). 0.22/0.44 thf(func_def_32, type, a: $i > $o). 0.22/0.44 thf(func_def_33, type, b: $i > $o). 0.22/0.44 thf(func_def_49, type, ph1: !>[X0: $tType]:(X0)). 0.22/0.44 thf(f291,plain,( 0.22/0.44 $false), 0.22/0.44 inference(trivial_inequality_removal,[],[f290])). 0.22/0.44 thf(f290,plain,( 0.22/0.44 ($true = $false)), 0.22/0.44 inference(beta_eta_normalization,[],[f289])). 0.22/0.44 thf(f289,plain,( 0.22/0.44 (((^[Y0 : $i]: ($true)) @ sK5) = $false)), 0.22/0.44 inference(sigma_clausification,[],[f262])). 0.22/0.44 thf(f262,plain,( 0.22/0.44 ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false)), 0.22/0.44 inference(not_proxy_clausification,[],[f260])). 0.22/0.44 thf(f260,plain,( 0.22/0.44 ((~ (!! @ $i @ (^[Y0 : $i]: ($true)))) = $true)), 0.22/0.44 inference(boolean_simplification,[],[f259])). 0.22/0.44 thf(f259,plain,( 0.22/0.44 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (rel @ sK4 @ Y0))))))), 0.22/0.44 inference(boolean_simplification,[],[f258])). 0.22/0.44 thf(f258,plain,( 0.22/0.44 (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (rel @ sK4 @ Y0)))))) = $true)), 0.22/0.44 inference(superposition,[],[f130,f254])). 0.22/0.44 thf(f254,plain,( 0.22/0.44 ((rel @ sK4 @ sK4) = $false)), 0.22/0.44 inference(not_proxy_clausification,[],[f250])). 0.22/0.44 thf(f250,plain,( 0.22/0.44 ((~ (rel @ sK4 @ sK4)) = $true)), 0.22/0.44 inference(boolean_simplification,[],[f249])). 0.22/0.44 thf(f249,plain,( 0.22/0.44 (((rel @ sK4 @ sK4) => $false) = $true)), 0.22/0.44 inference(forward_demodulation,[],[f248,f175])). 0.22/0.44 thf(f175,plain,( 0.22/0.44 ((b @ sK4) = $false)), 0.22/0.44 inference(binary_proxy_clausification,[],[f161])). 0.22/0.44 thf(f161,plain,( 0.22/0.44 (((b @ sK4) | (~ (a @ sK4))) = $false)), 0.22/0.44 inference(binary_proxy_clausification,[],[f158])). 0.22/0.44 thf(f158,plain,( 0.22/0.44 (((rel @ sK3 @ sK4) => ((b @ sK4) | (~ (a @ sK4)))) = $false)), 0.22/0.44 inference(beta_eta_normalization,[],[f157])). 0.22/0.44 thf(f157,plain,( 0.22/0.44 (((^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (~ (a @ Y0))))) @ sK4) = $false)), 0.22/0.44 inference(sigma_clausification,[],[f149])). 0.22/0.44 thf(f149,plain,( 0.22/0.44 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (~ (a @ Y0)))))) = $false)), 0.22/0.44 inference(binary_proxy_clausification,[],[f147])). 0.22/0.44 thf(f147,plain,( 0.22/0.44 (((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (~ (a @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1)))))) | (b @ Y0))))))) = $false)), 0.22/0.44 inference(boolean_simplification,[],[f146])). 0.22/0.44 thf(f146,plain,( 0.22/0.44 (($true => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (~ (a @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1)))))) | (b @ Y0)))))))) = $false)), 0.22/0.44 inference(backward_demodulation,[],[f143,f145])). 0.22/0.44 thf(f145,plain,( 0.22/0.44 ($true = (rel @ sK2 @ sK3))), 0.22/0.44 inference(binary_proxy_clausification,[],[f143])). 0.22/0.44 thf(f143,plain,( 0.22/0.44 (((rel @ sK2 @ sK3) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (~ (a @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1)))))) | (b @ Y0)))))))) = $false)), 0.22/0.44 inference(beta_eta_normalization,[],[f142])). 0.22/0.44 thf(f142,plain,( 0.22/0.44 (((^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((b @ Y2) | (~ (a @ Y2)))))) | (b @ Y1))))))))) @ sK3) = $false)), 0.22/0.44 inference(sigma_clausification,[],[f141])). 0.22/0.44 thf(f141,plain,( 0.22/0.44 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((b @ Y2) | (~ (a @ Y2)))))) | (b @ Y1)))))))))) = $false)), 0.22/0.44 inference(beta_eta_normalization,[],[f140])). 0.22/0.44 thf(f140,plain,( 0.22/0.44 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((b @ Y2) | (~ (a @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((b @ Y3) | (~ (a @ Y3)))))) | (b @ Y2))))))))))) @ sK2) = $false)), 0.22/0.44 inference(sigma_clausification,[],[f137])). 0.22/0.44 thf(f137,plain,( 0.22/0.44 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((b @ Y2) | (~ (a @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((b @ Y3) | (~ (a @ Y3)))))) | (b @ Y2)))))))))))) = $false)), 0.22/0.44 inference(not_proxy_clausification,[],[f126])). 0.22/0.44 thf(f126,plain,( 0.22/0.44 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((b @ Y2) | (~ (a @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((b @ Y3) | (~ (a @ Y3)))))) | (b @ Y2))))))))))))) = $true)), 0.22/0.44 inference(beta_eta_normalization,[],[f122])). 0.22/0.44 thf(f122,plain,( 0.22/0.44 ((~ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ b) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: (Y0)) @ b))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: (Y0)) @ b))))) = $true)), 0.22/0.44 inference(definition_unfolding,[],[f101,f119,f115,f118,f91,f120,f91,f91,f120,f91,f91])). 0.22/0.44 thf(f120,plain,( 0.22/0.44 (icl_impl_princ = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))))), 0.22/0.44 inference(definition_unfolding,[],[f84,f102,f110])). 0.22/0.44 thf(f110,plain,( 0.22/0.44 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))), 0.22/0.44 inference(definition_unfolding,[],[f86,f90,f82])). 0.22/0.44 thf(f82,plain,( 0.22/0.44 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 0.22/0.44 inference(cnf_transformation,[],[f59])). 0.22/0.44 thf(f59,plain,( 0.22/0.44 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 0.22/0.44 inference(fool_elimination,[],[f58])). 0.22/0.44 thf(f58,plain,( 0.22/0.44 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))), 0.22/0.44 inference(rectify,[],[f3])). 0.22/0.44 thf(f3,axiom,( 0.22/0.44 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))), 0.22/0.44 file('/export/starexec/sandbox2/tmp/tmp.NOWJbljWW7/E---3.1_28587.p',mnot)). 0.22/0.44 thf(f90,plain,( 0.22/0.44 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))), 0.22/0.44 inference(cnf_transformation,[],[f79])). 0.22/0.44 thf(f79,plain,( 0.22/0.44 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))), 0.22/0.44 inference(fool_elimination,[],[f78])). 0.22/0.44 thf(f78,plain,( 0.22/0.44 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)), 0.22/0.44 inference(rectify,[],[f4])). 0.22/0.44 thf(f4,axiom,( 0.22/0.44 ((^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X0 @ X1) | (X2 @ X1))) = mor)), 0.22/0.44 file('/export/starexec/sandbox2/tmp/tmp.NOWJbljWW7/E---3.1_28587.p',mor)). 0.22/0.44 thf(f86,plain,( 0.22/0.44 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 0.22/0.44 inference(cnf_transformation,[],[f38])). 0.22/0.44 thf(f38,plain,( 0.22/0.44 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 0.22/0.44 inference(fool_elimination,[],[f37])). 0.22/0.44 thf(f37,plain,( 0.22/0.44 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimpl)), 0.22/0.44 inference(rectify,[],[f6])). 0.22/0.44 thf(f6,axiom,( 0.22/0.44 ((^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)) = mimpl)), 0.22/0.44 file('/export/starexec/sandbox2/tmp/tmp.NOWJbljWW7/E---3.1_28587.p',mimpl)). 0.22/0.44 thf(f102,plain,( 0.22/0.44 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))), 0.22/0.44 inference(cnf_transformation,[],[f45])). 0.22/0.44 thf(f45,plain,( 0.22/0.44 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))), 0.22/0.44 inference(fool_elimination,[],[f44])). 0.22/0.44 thf(f44,plain,( 0.22/0.44 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))))), 0.22/0.44 inference(rectify,[],[f8])). 0.22/0.44 thf(f8,axiom,( 0.22/0.44 (mbox = (^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))))), 0.22/0.44 file('/export/starexec/sandbox2/tmp/tmp.NOWJbljWW7/E---3.1_28587.p',mbox)). 0.22/0.44 thf(f84,plain,( 0.22/0.44 (icl_impl_princ = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))), 0.22/0.44 inference(cnf_transformation,[],[f69])). 0.22/0.44 thf(f69,plain,( 0.22/0.44 (icl_impl_princ = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))), 0.22/0.44 inference(fool_elimination,[],[f68])). 0.22/0.44 thf(f68,plain,( 0.22/0.44 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mimpl @ X0 @ X1))) = icl_impl_princ)), 0.22/0.44 inference(rectify,[],[f27])). 0.22/0.44 thf(f27,axiom,( 0.22/0.44 ((^[X7 : $i > $o, X8 : $i > $o] : (mbox @ rel @ (mimpl @ X7 @ X8))) = icl_impl_princ)), 0.22/0.44 file('/export/starexec/sandbox2/tmp/tmp.NOWJbljWW7/E---3.1_28587.p',icl_impl_princ)). 0.22/0.44 thf(f91,plain,( 0.22/0.44 (icl_princ = (^[Y0 : $i > $o]: (Y0)))), 0.22/0.44 inference(cnf_transformation,[],[f47])). 0.22/0.44 thf(f47,plain,( 0.22/0.44 (icl_princ = (^[Y0 : $i > $o]: (Y0)))), 0.22/0.44 inference(fool_elimination,[],[f46])). 0.22/0.44 thf(f46,plain,( 0.22/0.44 ((^[X0 : $i > $o] : (X0)) = icl_princ)), 0.22/0.44 inference(rectify,[],[f17])). 0.22/0.44 thf(f17,axiom,( 0.22/0.44 ((^[X5 : $i > $o] : (X5)) = icl_princ)), 0.22/0.44 file('/export/starexec/sandbox2/tmp/tmp.NOWJbljWW7/E---3.1_28587.p',icl_princ)). 0.22/0.44 thf(f118,plain,( 0.22/0.44 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ Y0 @ Y1))))))), 0.22/0.44 inference(definition_unfolding,[],[f109,f102,f90])). 0.22/0.44 thf(f109,plain,( 0.22/0.44 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))), 0.22/0.44 inference(cnf_transformation,[],[f53])). 0.22/0.44 thf(f53,plain,( 0.22/0.44 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))), 0.22/0.44 inference(fool_elimination,[],[f52])). 0.22/0.44 thf(f52,plain,( 0.22/0.44 (icl_says = (^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mor @ X0 @ X1))))), 0.22/0.44 inference(rectify,[],[f23])). 0.22/0.44 thf(f23,axiom,( 0.22/0.44 (icl_says = (^[X7 : $i > $o, X9 : $i > $o] : (mbox @ rel @ (mor @ X7 @ X9))))), 0.22/0.44 file('/export/starexec/sandbox2/tmp/tmp.NOWJbljWW7/E---3.1_28587.p',icl_says)). 0.22/0.44 thf(f115,plain,( 0.22/0.44 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))))), 0.22/0.44 inference(definition_unfolding,[],[f92,f102,f110])). 0.22/0.44 thf(f92,plain,( 0.22/0.44 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))), 0.22/0.44 inference(cnf_transformation,[],[f81])). 0.22/0.44 thf(f81,plain,( 0.22/0.44 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))), 0.22/0.44 inference(fool_elimination,[],[f80])). 0.22/0.44 thf(f80,plain,( 0.22/0.44 (icl_impl = (^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mimpl @ X0 @ X1))))), 0.22/0.44 inference(rectify,[],[f20])). 0.22/0.44 thf(f20,axiom,( 0.22/0.44 (icl_impl = (^[X7 : $i > $o, X8 : $i > $o] : (mbox @ rel @ (mimpl @ X7 @ X8))))), 0.22/0.44 file('/export/starexec/sandbox2/tmp/tmp.NOWJbljWW7/E---3.1_28587.p',icl_impl)). 0.22/0.44 thf(f119,plain,( 0.22/0.44 (iclval = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)))), 0.22/0.44 inference(definition_unfolding,[],[f98,f87])). 0.22/0.44 thf(f87,plain,( 0.22/0.44 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 0.22/0.44 inference(cnf_transformation,[],[f41])). 0.22/0.44 thf(f41,plain,( 0.22/0.44 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 0.22/0.44 inference(fool_elimination,[],[f40])). 0.22/0.44 thf(f40,plain,( 0.22/0.44 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)), 0.22/0.44 inference(rectify,[],[f12])). 0.22/0.44 thf(f12,axiom,( 0.22/0.44 ((^[X5 : $i > $o] : (! [X6] : (X5 @ X6))) = mvalid)), 0.22/0.44 file('/export/starexec/sandbox2/tmp/tmp.NOWJbljWW7/E---3.1_28587.p',mvalid)). 0.22/0.44 thf(f98,plain,( 0.22/0.44 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))), 0.22/0.44 inference(cnf_transformation,[],[f36])). 0.22/0.44 thf(f36,plain,( 0.22/0.44 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))), 0.22/0.44 inference(fool_elimination,[],[f24])). 0.22/0.44 thf(f24,axiom,( 0.22/0.44 (iclval = (^[X0 : $i > $o] : (mvalid @ X0)))), 0.22/0.44 file('/export/starexec/sandbox2/tmp/tmp.NOWJbljWW7/E---3.1_28587.p',icl_s4_valid)). 0.22/0.44 thf(f101,plain,( 0.22/0.44 ((~ (iclval @ (icl_impl @ (icl_says @ (icl_princ @ b) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))))) = $true)), 0.22/0.44 inference(cnf_transformation,[],[f51])). 0.22/0.44 thf(f51,plain,( 0.22/0.44 ((~ (iclval @ (icl_impl @ (icl_says @ (icl_princ @ b) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))))) = $true)), 0.22/0.44 inference(fool_elimination,[],[f50])). 0.22/0.44 thf(f50,plain,( 0.22/0.44 ~(iclval @ (icl_impl @ (icl_says @ (icl_princ @ b) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))))), 0.22/0.44 inference(rectify,[],[f29])). 0.22/0.44 thf(f29,negated_conjecture,( 0.22/0.44 ~(iclval @ (icl_impl @ (icl_says @ (icl_princ @ b) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))))), 0.22/0.44 inference(negated_conjecture,[],[f28])). 0.22/0.44 thf(f28,conjecture,( 0.22/0.44 (iclval @ (icl_impl @ (icl_says @ (icl_princ @ b) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))))), 0.22/0.44 file('/export/starexec/sandbox2/tmp/tmp.NOWJbljWW7/E---3.1_28587.p',handoff)). 0.22/0.44 thf(f248,plain,( 0.22/0.44 ($true = ((rel @ sK4 @ sK4) => (b @ sK4)))), 0.22/0.44 inference(boolean_simplification,[],[f247])). 0.22/0.44 thf(f247,plain,( 0.22/0.44 (((rel @ sK4 @ sK4) => ((b @ sK4) | $false)) = $true)), 0.22/0.44 inference(boolean_simplification,[],[f241])). 0.22/0.44 thf(f241,plain,( 0.22/0.44 (((rel @ sK4 @ sK4) => ((b @ sK4) | (~ $true))) = $true)), 0.22/0.44 inference(superposition,[],[f231,f186])). 0.22/0.44 thf(f186,plain,( 0.22/0.44 ((a @ sK4) = $true)), 0.22/0.44 inference(not_proxy_clausification,[],[f178])). 0.22/0.44 thf(f178,plain,( 0.22/0.44 ((~ (a @ sK4)) = $false)), 0.22/0.44 inference(boolean_simplification,[],[f177])). 0.22/0.44 thf(f177,plain,( 0.22/0.44 (($false | (~ (a @ sK4))) = $false)), 0.22/0.44 inference(backward_demodulation,[],[f161,f175])). 0.22/0.44 thf(f231,plain,( 0.22/0.44 ( ! [X1 : $i] : (($true = ((rel @ sK4 @ X1) => ((b @ X1) | (~ (a @ X1)))))) )), 0.22/0.44 inference(beta_eta_normalization,[],[f227])). 0.22/0.44 thf(f227,plain,( 0.22/0.44 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((b @ Y0) | (~ (a @ Y0))))) @ X1) = $true)) )), 0.22/0.44 inference(pi_clausification,[],[f179])). 0.22/0.44 thf(f179,plain,( 0.22/0.44 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((b @ Y0) | (~ (a @ Y0)))))) = $true)), 0.22/0.44 inference(boolean_simplification,[],[f176])). 0.22/0.44 thf(f176,plain,( 0.22/0.44 ($true = ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((b @ Y0) | (~ (a @ Y0)))))) | $false))), 0.22/0.44 inference(backward_demodulation,[],[f172,f175])). 0.22/0.44 thf(f172,plain,( 0.22/0.44 (((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((b @ Y0) | (~ (a @ Y0)))))) | (b @ sK4)) = $true)), 0.22/0.44 inference(boolean_simplification,[],[f170])). 0.22/0.44 thf(f170,plain,( 0.22/0.44 ($true = ($true => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((b @ Y0) | (~ (a @ Y0)))))) | (b @ sK4))))), 0.22/0.44 inference(superposition,[],[f160,f162])). 0.22/0.44 thf(f162,plain,( 0.22/0.44 ((rel @ sK3 @ sK4) = $true)), 0.22/0.44 inference(binary_proxy_clausification,[],[f158])). 0.22/0.44 thf(f160,plain,( 0.22/0.44 ( ! [X1 : $i] : (($true = ((rel @ sK3 @ X1) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => ((b @ Y0) | (~ (a @ Y0)))))) | (b @ X1))))) )), 0.22/0.44 inference(beta_eta_normalization,[],[f159])). 0.22/0.44 thf(f159,plain,( 0.22/0.44 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1)))))) | (b @ Y0)))) @ X1) = $true)) )), 0.22/0.44 inference(pi_clausification,[],[f154])). 0.22/0.44 thf(f154,plain,( 0.22/0.44 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1)))))) | (b @ Y0))))) = $true)), 0.22/0.44 inference(not_proxy_clausification,[],[f151])). 0.22/0.44 thf(f151,plain,( 0.22/0.44 ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1)))))) | (b @ Y0)))))) = $false)), 0.22/0.44 inference(boolean_simplification,[],[f150])). 0.22/0.44 thf(f150,plain,( 0.22/0.44 (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1)))))) | (b @ Y0))))))) = $false)), 0.22/0.44 inference(backward_demodulation,[],[f147,f149])). 0.22/0.44 thf(f130,plain,( 0.22/0.44 ( ! [X2 : $i,X1 : $i > $o] : ((((X1 @ X2) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (X1 @ Y0)))))) = $true)) )), 0.22/0.44 inference(beta_eta_normalization,[],[f129])). 0.22/0.44 thf(f129,plain,( 0.22/0.44 ( ! [X2 : $i,X1 : $i > $o] : ((((^[Y0 : $i]: ((X1 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X1 @ Y1))))))) @ X2) = $true)) )), 0.22/0.44 inference(pi_clausification,[],[f128])). 0.22/0.44 thf(f128,plain,( 0.22/0.44 ( ! [X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X1 @ Y1)))))))) = $true)) )), 0.22/0.44 inference(beta_eta_normalization,[],[f127])). 0.22/0.44 thf(f127,plain,( 0.22/0.44 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (Y0 @ Y2))))))))) @ X1) = $true)) )), 0.22/0.44 inference(pi_clausification,[],[f125])). 0.22/0.44 thf(f125,plain,( 0.22/0.44 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (Y0 @ Y2)))))))))) = $true)), 0.22/0.44 inference(beta_eta_normalization,[],[f121])). 0.22/0.44 thf(f121,plain,( 0.22/0.44 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0) @ Y0)))))), 0.22/0.44 inference(definition_unfolding,[],[f99,f87,f110,f102])). 0.22/0.44 thf(f99,plain,( 0.22/0.44 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ rel @ Y0) @ Y0)))) = $true)), 0.22/0.44 inference(cnf_transformation,[],[f33])). 0.22/0.44 thf(f33,plain,( 0.22/0.44 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ rel @ Y0) @ Y0)))) = $true)), 0.22/0.44 inference(fool_elimination,[],[f32])). 0.22/0.44 thf(f32,plain,( 0.22/0.44 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X0) @ X0))), 0.22/0.44 inference(rectify,[],[f26])). 0.22/0.44 thf(f26,axiom,( 0.22/0.44 ! [X7 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X7) @ X7))), 0.22/0.44 file('/export/starexec/sandbox2/tmp/tmp.NOWJbljWW7/E---3.1_28587.p',refl_axiom)). 0.22/0.44 % SZS output end Proof for E---3.1_28587 0.22/0.44 % (28708)------------------------------ 0.22/0.44 % (28708)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.44 % (28708)Termination reason: Refutation 0.22/0.44 0.22/0.44 % (28708)Memory used [KB]: 5884 0.22/0.44 % (28708)Time elapsed: 0.048 s 0.22/0.44 % (28708)Instructions burned: 33 (million) 0.22/0.44 % (28708)------------------------------ 0.22/0.44 % (28708)------------------------------ 0.22/0.44 % (28696)Success in time 0.073 s 0.22/0.44 EOF