0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : run_vampire %s %d THM 0.11/0.32 % Computer : n022.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1920 0.11/0.32 % WCLimit : 240 0.11/0.32 % DateTime : Wed Jul 30 02:22:49 EDT 2025 0.11/0.33 % CPUTime : 0.11/0.34 This is a THF_ problem 0.11/0.35 Running higher-order theorem proving 0.11/0.35 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.N4nyj6fQRj/E---3.1_26648.p -m 16384 -t 240 0.11/0.37 % (26755)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_26648 for (2399ds/183Mi) 0.11/0.37 % (26756)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_26648 for (2399ds/4Mi) 0.11/0.37 % (26757)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_26648 for (2399ds/27Mi) 0.11/0.37 % (26759)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_26648 for (2399ds/2Mi) 0.11/0.37 % (26760)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_26648 for (2399ds/275Mi) 0.11/0.37 % (26759)Instruction limit reached! 0.11/0.37 % (26759)------------------------------ 0.11/0.37 % (26759)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.11/0.37 % (26759)Termination reason: Unknown 0.11/0.37 % (26759)Termination phase: Property scanning 0.11/0.37 0.11/0.37 % (26759)Memory used [KB]: 1023 0.11/0.37 % (26759)Time elapsed: 0.003 s 0.11/0.37 % (26759)Instructions burned: 2 (million) 0.11/0.37 % (26759)------------------------------ 0.11/0.37 % (26759)------------------------------ 0.11/0.38 % (26760)Refutation not found, incomplete strategy 0.11/0.38 % (26760)------------------------------ 0.11/0.38 % (26760)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.11/0.38 % (26760)Termination reason: Refutation not found, incomplete strategy 0.11/0.38 0.11/0.38 0.11/0.38 % (26760)Memory used [KB]: 5500 0.11/0.38 % (26760)Time elapsed: 0.004 s 0.11/0.38 % (26760)Instructions burned: 2 (million) 0.11/0.38 % (26760)------------------------------ 0.11/0.38 % (26760)------------------------------ 0.11/0.38 % (26756)Instruction limit reached! 0.11/0.38 % (26756)------------------------------ 0.11/0.38 % (26756)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.11/0.38 % (26756)Termination reason: Unknown 0.11/0.38 % (26756)Termination phase: Saturation 0.11/0.38 0.11/0.38 % (26756)Memory used [KB]: 5500 0.11/0.38 % (26756)Time elapsed: 0.005 s 0.11/0.38 % (26756)Instructions burned: 4 (million) 0.11/0.38 % (26756)------------------------------ 0.11/0.38 % (26756)------------------------------ 0.11/0.38 % (26758)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_26648 for (2399ds/2Mi) 0.11/0.38 % (26758)Instruction limit reached! 0.11/0.38 % (26758)------------------------------ 0.11/0.38 % (26758)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.11/0.38 % (26758)Termination reason: Unknown 0.11/0.38 % (26758)Termination phase: Preprocessing 3 0.11/0.38 0.11/0.38 % (26758)Memory used [KB]: 895 0.11/0.38 % (26758)Time elapsed: 0.003 s 0.11/0.38 % (26758)Instructions burned: 2 (million) 0.11/0.38 % (26758)------------------------------ 0.11/0.38 % (26758)------------------------------ 0.11/0.39 % (26761)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_26648 for (2399ds/18Mi) 0.11/0.39 % (26762)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_26648 for (2399ds/3Mi) 0.11/0.39 % (26764)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_26648 for (2399ds/15Mi) 0.11/0.39 % (26763)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_26648 for (2399ds/37Mi) 0.11/0.39 % (26757)Instruction limit reached! 0.11/0.39 % (26757)------------------------------ 0.11/0.39 % (26757)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.11/0.39 % (26762)Instruction limit reached! 0.11/0.39 % (26762)------------------------------ 0.11/0.39 % (26762)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.11/0.39 % (26762)Termination reason: Unknown 0.11/0.39 % (26762)Termination phase: Saturation 0.11/0.39 0.11/0.39 % (26762)Memory used [KB]: 5500 0.11/0.39 % (26762)Time elapsed: 0.004 s 0.11/0.39 % (26762)Instructions burned: 3 (million) 0.11/0.39 % (26762)------------------------------ 0.11/0.39 % (26762)------------------------------ 0.11/0.39 % (26757)Termination reason: Unknown 0.11/0.39 % (26757)Termination phase: Saturation 0.11/0.39 0.11/0.39 % (26757)Memory used [KB]: 5628 0.11/0.39 % (26757)Time elapsed: 0.021 s 0.11/0.39 % (26757)Instructions burned: 27 (million) 0.11/0.39 % (26757)------------------------------ 0.11/0.39 % (26757)------------------------------ 0.11/0.40 % (26765)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_26648 for (2399ds/3Mi) 0.11/0.40 % (26761)Instruction limit reached! 0.11/0.40 % (26761)------------------------------ 0.11/0.40 % (26761)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.11/0.40 % (26761)Termination reason: Unknown 0.11/0.40 % (26761)Termination phase: Saturation 0.11/0.40 0.11/0.40 % (26761)Memory used [KB]: 5628 0.11/0.40 % (26761)Time elapsed: 0.014 s 0.11/0.40 % (26761)Instructions burned: 18 (million) 0.11/0.40 % (26761)------------------------------ 0.11/0.40 % (26761)------------------------------ 0.11/0.40 % (26765)Instruction limit reached! 0.11/0.40 % (26765)------------------------------ 0.11/0.40 % (26765)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.11/0.40 % (26765)Termination reason: Unknown 0.11/0.40 % (26765)Termination phase: Saturation 0.11/0.40 0.11/0.40 % (26765)Memory used [KB]: 5500 0.11/0.40 % (26764)Instruction limit reached! 0.11/0.40 % (26764)------------------------------ 0.11/0.40 % (26764)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.11/0.40 % (26765)Time elapsed: 0.005 s 0.11/0.40 % (26765)Instructions burned: 4 (million) 0.11/0.40 % (26765)------------------------------ 0.11/0.40 % (26765)------------------------------ 0.11/0.40 % (26764)Termination reason: Unknown 0.11/0.40 % (26764)Termination phase: Saturation 0.11/0.40 0.11/0.40 % (26764)Memory used [KB]: 5628 0.11/0.40 % (26764)Time elapsed: 0.010 s 0.11/0.40 % (26764)Instructions burned: 15 (million) 0.11/0.40 % (26764)------------------------------ 0.11/0.40 % (26764)------------------------------ 0.11/0.40 % (26755)First to succeed. 0.11/0.40 % (26755)Refutation found. Thanks to Tanya! 0.11/0.40 % SZS status Theorem for E---3.1_26648 0.11/0.40 % SZS output start Proof for E---3.1_26648 0.11/0.40 thf(type_def_5, type, frac: $tType). 0.11/0.40 thf(func_def_0, type, frac: $tType). 0.11/0.40 thf(func_def_1, type, x: frac). 0.11/0.40 thf(func_def_2, type, y: frac). 0.11/0.40 thf(func_def_3, type, z: frac). 0.11/0.40 thf(func_def_4, type, u: frac). 0.11/0.40 thf(func_def_5, type, moref: frac > frac > $o). 0.11/0.40 thf(func_def_6, type, pf: frac > frac > frac). 0.11/0.40 thf(func_def_7, type, lessf: frac > frac > $o). 0.11/0.40 thf(func_def_8, type, eq: frac > frac > $o). 0.11/0.40 thf(f221,plain,( 0.11/0.40 $false), 0.11/0.40 inference(subsumption_resolution,[],[f220,f43])). 0.11/0.40 thf(f43,plain,( 0.11/0.40 ((moref @ x @ y) = $true)), 0.11/0.40 inference(cnf_transformation,[],[f27])). 0.11/0.40 thf(f27,plain,( 0.11/0.40 ((moref @ x @ y) = $true)), 0.11/0.40 inference(fool_elimination,[],[f26])). 0.11/0.40 thf(f26,plain,( 0.11/0.40 (moref @ x @ y)), 0.11/0.40 inference(rectify,[],[f10])). 0.11/0.40 thf(f10,axiom,( 0.11/0.40 (moref @ x @ y)), 0.11/0.40 file('/export/starexec/sandbox/tmp/tmp.N4nyj6fQRj/E---3.1_26648.p',m)). 0.11/0.40 thf(f220,plain,( 0.11/0.40 ((moref @ x @ y) != $true)), 0.11/0.40 inference(subsumption_resolution,[],[f217,f44])). 0.11/0.40 thf(f44,plain,( 0.11/0.40 ((moref @ z @ u) = $true)), 0.11/0.40 inference(cnf_transformation,[],[f29])). 0.11/0.40 thf(f29,plain,( 0.11/0.40 ((moref @ z @ u) = $true)), 0.11/0.40 inference(fool_elimination,[],[f28])). 0.11/0.40 thf(f28,plain,( 0.11/0.40 (moref @ z @ u)), 0.11/0.40 inference(rectify,[],[f7])). 0.11/0.40 thf(f7,axiom,( 0.11/0.40 (moref @ z @ u)), 0.11/0.40 file('/export/starexec/sandbox/tmp/tmp.N4nyj6fQRj/E---3.1_26648.p',n)). 0.11/0.40 thf(f217,plain,( 0.11/0.40 ((moref @ z @ u) != $true) | ((moref @ x @ y) != $true)), 0.11/0.40 inference(trivial_inequality_removal,[],[f214])). 0.11/0.40 thf(f214,plain,( 0.11/0.40 ((moref @ x @ y) != $true) | ((moref @ z @ u) != $true) | ($true != $true)), 0.11/0.40 inference(superposition,[],[f213,f45])). 0.11/0.40 thf(f45,plain,( 0.11/0.40 ( ! [X2 : frac,X0 : frac,X1 : frac] : (((moref @ (pf @ X1 @ X2) @ (pf @ X0 @ X2)) = $true) | ((moref @ X1 @ X0) != $true)) )), 0.11/0.40 inference(cnf_transformation,[],[f38])). 0.11/0.40 thf(f38,plain,( 0.11/0.40 ! [X0 : frac,X1 : frac,X2 : frac] : (((moref @ (pf @ X1 @ X2) @ (pf @ X0 @ X2)) = $true) | ((moref @ X1 @ X0) != $true))), 0.11/0.40 inference(rectify,[],[f33])). 0.11/0.40 thf(f33,plain,( 0.11/0.40 ! [X1 : frac,X0 : frac,X2 : frac] : (((moref @ (pf @ X0 @ X2) @ (pf @ X1 @ X2)) = $true) | ((moref @ X0 @ X1) != $true))), 0.11/0.40 inference(ennf_transformation,[],[f15])). 0.11/0.40 thf(f15,plain,( 0.11/0.40 ! [X0 : frac,X2 : frac,X1 : frac] : (((moref @ X0 @ X1) = $true) => ((moref @ (pf @ X0 @ X2) @ (pf @ X1 @ X2)) = $true))), 0.11/0.40 inference(fool_elimination,[],[f14])). 0.11/0.40 thf(f14,plain,( 0.11/0.40 ! [X0 : frac,X1 : frac,X2 : frac] : ((moref @ X0 @ X1) => (moref @ (pf @ X0 @ X2) @ (pf @ X1 @ X2)))), 0.11/0.40 inference(rectify,[],[f1])). 0.11/0.40 thf(f1,axiom,( 0.11/0.40 ! [X0 : frac,X1 : frac,X2 : frac] : ((moref @ X0 @ X1) => (moref @ (pf @ X0 @ X2) @ (pf @ X1 @ X2)))), 0.11/0.40 file('/export/starexec/sandbox/tmp/tmp.N4nyj6fQRj/E---3.1_26648.p',satz61)). 0.11/0.40 thf(f213,plain,( 0.11/0.40 ( ! [X0 : frac] : (((moref @ (pf @ x @ X0) @ (pf @ y @ u)) != $true) | ((moref @ z @ X0) != $true)) )), 0.11/0.40 inference(trivial_inequality_removal,[],[f212])). 0.11/0.40 thf(f212,plain,( 0.11/0.40 ( ! [X0 : frac] : (($true != $true) | ((moref @ z @ X0) != $true) | ((moref @ (pf @ x @ X0) @ (pf @ y @ u)) != $true)) )), 0.11/0.40 inference(superposition,[],[f209,f47])). 0.11/0.40 thf(f47,plain,( 0.11/0.40 ( ! [X0 : frac,X1 : frac] : (((eq @ (pf @ X1 @ X0) @ (pf @ X0 @ X1)) = $true)) )), 0.11/0.40 inference(cnf_transformation,[],[f25])). 0.11/0.40 thf(f25,plain,( 0.11/0.40 ! [X0 : frac,X1 : frac] : ((eq @ (pf @ X1 @ X0) @ (pf @ X0 @ X1)) = $true)), 0.11/0.40 inference(fool_elimination,[],[f24])). 0.11/0.40 thf(f24,plain,( 0.11/0.40 ! [X0 : frac,X1 : frac] : (eq @ (pf @ X1 @ X0) @ (pf @ X0 @ X1))), 0.11/0.40 inference(rectify,[],[f8])). 0.11/0.40 thf(f8,axiom,( 0.11/0.40 ! [X1 : frac,X0 : frac] : (eq @ (pf @ X0 @ X1) @ (pf @ X1 @ X0))), 0.11/0.40 file('/export/starexec/sandbox/tmp/tmp.N4nyj6fQRj/E---3.1_26648.p',satz58)). 0.11/0.40 thf(f209,plain,( 0.11/0.40 ( ! [X0 : frac,X1 : frac] : (($true != (eq @ (pf @ X0 @ x) @ X1)) | ((moref @ z @ X0) != $true) | ((moref @ X1 @ (pf @ y @ u)) != $true)) )), 0.11/0.40 inference(trivial_inequality_removal,[],[f206])). 0.11/0.40 thf(f206,plain,( 0.11/0.40 ( ! [X0 : frac,X1 : frac] : (((moref @ z @ X0) != $true) | ($true != $true) | ((moref @ X1 @ (pf @ y @ u)) != $true) | ($true != (eq @ (pf @ X0 @ x) @ X1))) )), 0.11/0.40 inference(superposition,[],[f205,f45])). 0.11/0.40 thf(f205,plain,( 0.11/0.40 ( ! [X0 : frac,X1 : frac] : (((moref @ (pf @ z @ x) @ X0) != $true) | ((eq @ X0 @ X1) != $true) | ((moref @ X1 @ (pf @ y @ u)) != $true)) )), 0.11/0.40 inference(trivial_inequality_removal,[],[f204])). 0.11/0.40 thf(f204,plain,( 0.11/0.40 ( ! [X0 : frac,X1 : frac] : (($true != $true) | ((eq @ X0 @ X1) != $true) | ((moref @ (pf @ z @ x) @ X0) != $true) | ((moref @ X1 @ (pf @ y @ u)) != $true)) )), 0.11/0.40 inference(superposition,[],[f72,f47])). 0.11/0.40 thf(f72,plain,( 0.11/0.40 ( ! [X2 : frac,X0 : frac,X1 : frac] : (((eq @ X1 @ (pf @ x @ z)) != $true) | ($true != (eq @ X2 @ X0)) | ($true != (moref @ X1 @ X2)) | ((moref @ X0 @ (pf @ y @ u)) != $true)) )), 0.11/0.40 inference(trivial_inequality_removal,[],[f69])). 0.11/0.40 thf(f69,plain,( 0.11/0.40 ( ! [X2 : frac,X0 : frac,X1 : frac] : (($true != $true) | ((eq @ X1 @ (pf @ x @ z)) != $true) | ($true != (eq @ X2 @ X0)) | ($true != (moref @ X1 @ X2)) | ((moref @ X0 @ (pf @ y @ u)) != $true)) )), 0.11/0.40 inference(superposition,[],[f67,f51])). 0.11/0.40 thf(f51,plain,( 0.11/0.40 ( ! [X2 : frac,X3 : frac,X0 : frac,X1 : frac] : (($true = (moref @ X1 @ X2)) | ((eq @ X3 @ X1) != $true) | ((moref @ X3 @ X0) != $true) | ((eq @ X0 @ X2) != $true)) )), 0.11/0.40 inference(cnf_transformation,[],[f42])). 0.11/0.40 thf(f42,plain,( 0.11/0.40 ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (($true = (moref @ X1 @ X2)) | ((eq @ X0 @ X2) != $true) | ((moref @ X3 @ X0) != $true) | ((eq @ X3 @ X1) != $true))), 0.11/0.40 inference(rectify,[],[f37])). 0.11/0.40 thf(f37,plain,( 0.11/0.40 ! [X0 : frac,X3 : frac,X1 : frac,X2 : frac] : (((moref @ X3 @ X1) = $true) | ((eq @ X0 @ X1) != $true) | ((moref @ X2 @ X0) != $true) | ((eq @ X2 @ X3) != $true))), 0.11/0.40 inference(flattening,[],[f36])). 0.11/0.40 thf(f36,plain,( 0.11/0.40 ! [X2 : frac,X3 : frac,X1 : frac,X0 : frac] : (((((moref @ X3 @ X1) = $true) | ((eq @ X0 @ X1) != $true)) | ((eq @ X2 @ X3) != $true)) | ((moref @ X2 @ X0) != $true))), 0.11/0.40 inference(ennf_transformation,[],[f13])). 0.11/0.40 thf(f13,plain,( 0.11/0.40 ! [X2 : frac,X3 : frac,X1 : frac,X0 : frac] : (((moref @ X2 @ X0) = $true) => (((eq @ X2 @ X3) = $true) => (((eq @ X0 @ X1) = $true) => ((moref @ X3 @ X1) = $true))))), 0.11/0.40 inference(fool_elimination,[],[f12])). 0.11/0.40 thf(f12,plain,( 0.11/0.40 ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((moref @ X2 @ X0) => ((eq @ X2 @ X3) => ((eq @ X0 @ X1) => (moref @ X3 @ X1))))), 0.11/0.40 inference(rectify,[],[f9])). 0.11/0.40 thf(f9,axiom,( 0.11/0.40 ! [X1 : frac,X3 : frac,X0 : frac,X2 : frac] : ((moref @ X0 @ X1) => ((eq @ X0 @ X2) => ((eq @ X1 @ X3) => (moref @ X2 @ X3))))), 0.11/0.40 file('/export/starexec/sandbox/tmp/tmp.N4nyj6fQRj/E---3.1_26648.p',satz44)). 0.11/0.40 thf(f67,plain,( 0.11/0.40 ( ! [X0 : frac] : (((moref @ (pf @ x @ z) @ X0) != $true) | ((moref @ X0 @ (pf @ y @ u)) != $true)) )), 0.11/0.40 inference(trivial_inequality_removal,[],[f65])). 0.11/0.40 thf(f65,plain,( 0.11/0.40 ( ! [X0 : frac] : (($true != $true) | ((moref @ (pf @ x @ z) @ X0) != $true) | ((moref @ X0 @ (pf @ y @ u)) != $true)) )), 0.11/0.40 inference(superposition,[],[f62,f48])). 0.11/0.40 thf(f48,plain,( 0.11/0.40 ( ! [X0 : frac,X1 : frac] : (((lessf @ X0 @ X1) = $true) | ((moref @ X1 @ X0) != $true)) )), 0.11/0.40 inference(cnf_transformation,[],[f39])). 0.11/0.40 thf(f39,plain,( 0.11/0.40 ! [X0 : frac,X1 : frac] : (((lessf @ X0 @ X1) = $true) | ((moref @ X1 @ X0) != $true))), 0.11/0.40 inference(rectify,[],[f31])). 0.11/0.40 thf(f31,plain,( 0.11/0.40 ! [X1 : frac,X0 : frac] : (((lessf @ X1 @ X0) = $true) | ((moref @ X0 @ X1) != $true))), 0.11/0.40 inference(ennf_transformation,[],[f23])). 0.11/0.40 thf(f23,plain,( 0.11/0.40 ! [X1 : frac,X0 : frac] : (((moref @ X0 @ X1) = $true) => ((lessf @ X1 @ X0) = $true))), 0.11/0.40 inference(fool_elimination,[],[f22])). 0.11/0.40 thf(f22,plain,( 0.11/0.40 ! [X0 : frac,X1 : frac] : ((moref @ X0 @ X1) => (lessf @ X1 @ X0))), 0.11/0.40 inference(rectify,[],[f6])). 0.11/0.40 thf(f6,axiom,( 0.11/0.40 ! [X0 : frac,X1 : frac] : ((moref @ X0 @ X1) => (lessf @ X1 @ X0))), 0.11/0.40 file('/export/starexec/sandbox/tmp/tmp.N4nyj6fQRj/E---3.1_26648.p',satz42)). 0.11/0.40 thf(f62,plain,( 0.11/0.40 ( ! [X0 : frac] : (((lessf @ (pf @ y @ u) @ X0) != $true) | ((moref @ (pf @ x @ z) @ X0) != $true)) )), 0.11/0.40 inference(trivial_inequality_removal,[],[f61])). 0.11/0.40 thf(f61,plain,( 0.11/0.40 ( ! [X0 : frac] : (($true != $true) | ((lessf @ (pf @ y @ u) @ X0) != $true) | ((moref @ (pf @ x @ z) @ X0) != $true)) )), 0.11/0.40 inference(superposition,[],[f57,f48])). 0.11/0.40 thf(f57,plain,( 0.11/0.40 ( ! [X0 : frac] : (($true != (lessf @ X0 @ (pf @ x @ z))) | ((lessf @ (pf @ y @ u) @ X0) != $true)) )), 0.11/0.40 inference(trivial_inequality_removal,[],[f56])). 0.11/0.40 thf(f56,plain,( 0.11/0.40 ( ! [X0 : frac] : (($true != (lessf @ X0 @ (pf @ x @ z))) | ((lessf @ (pf @ y @ u) @ X0) != $true) | ($true != $true)) )), 0.11/0.40 inference(superposition,[],[f53,f50])). 0.11/0.40 thf(f50,plain,( 0.11/0.40 ( ! [X2 : frac,X0 : frac,X1 : frac] : (((lessf @ X1 @ X0) = $true) | ((lessf @ X2 @ X0) != $true) | ((lessf @ X1 @ X2) != $true)) )), 0.11/0.40 inference(cnf_transformation,[],[f41])). 0.11/0.40 thf(f41,plain,( 0.11/0.40 ! [X0 : frac,X1 : frac,X2 : frac] : (((lessf @ X1 @ X2) != $true) | ((lessf @ X2 @ X0) != $true) | ((lessf @ X1 @ X0) = $true))), 0.11/0.40 inference(rectify,[],[f35])). 0.11/0.40 thf(f35,plain,( 0.11/0.40 ! [X0 : frac,X2 : frac,X1 : frac] : (($true != (lessf @ X2 @ X1)) | ((lessf @ X1 @ X0) != $true) | ((lessf @ X2 @ X0) = $true))), 0.11/0.40 inference(flattening,[],[f34])). 0.11/0.40 thf(f34,plain,( 0.11/0.40 ! [X2 : frac,X0 : frac,X1 : frac] : ((((lessf @ X2 @ X0) = $true) | ((lessf @ X1 @ X0) != $true)) | ($true != (lessf @ X2 @ X1)))), 0.11/0.40 inference(ennf_transformation,[],[f21])). 0.11/0.40 thf(f21,plain,( 0.11/0.40 ! [X2 : frac,X0 : frac,X1 : frac] : (($true = (lessf @ X2 @ X1)) => (((lessf @ X1 @ X0) = $true) => ((lessf @ X2 @ X0) = $true)))), 0.11/0.40 inference(fool_elimination,[],[f20])). 0.11/0.40 thf(f20,plain,( 0.11/0.40 ! [X0 : frac,X1 : frac,X2 : frac] : ((lessf @ X2 @ X1) => ((lessf @ X1 @ X0) => (lessf @ X2 @ X0)))), 0.11/0.40 inference(rectify,[],[f4])). 0.11/0.40 thf(f4,axiom,( 0.11/0.40 ! [X2 : frac,X1 : frac,X0 : frac] : ((lessf @ X0 @ X1) => ((lessf @ X1 @ X2) => (lessf @ X0 @ X2)))), 0.11/0.40 file('/export/starexec/sandbox/tmp/tmp.N4nyj6fQRj/E---3.1_26648.p',satz50)). 0.11/0.40 thf(f53,plain,( 0.11/0.40 ((lessf @ (pf @ y @ u) @ (pf @ x @ z)) != $true)), 0.11/0.40 inference(trivial_inequality_removal,[],[f52])). 0.11/0.40 thf(f52,plain,( 0.11/0.40 ($true != $true) | ((lessf @ (pf @ y @ u) @ (pf @ x @ z)) != $true)), 0.11/0.40 inference(superposition,[],[f46,f49])). 0.11/0.40 thf(f49,plain,( 0.11/0.40 ( ! [X0 : frac,X1 : frac] : (((moref @ X1 @ X0) = $true) | ((lessf @ X0 @ X1) != $true)) )), 0.11/0.40 inference(cnf_transformation,[],[f40])). 0.11/0.40 thf(f40,plain,( 0.11/0.40 ! [X0 : frac,X1 : frac] : (((moref @ X1 @ X0) = $true) | ((lessf @ X0 @ X1) != $true))), 0.11/0.40 inference(rectify,[],[f32])). 0.11/0.40 thf(f32,plain,( 0.11/0.40 ! [X1 : frac,X0 : frac] : (((moref @ X0 @ X1) = $true) | ((lessf @ X1 @ X0) != $true))), 0.11/0.40 inference(ennf_transformation,[],[f19])). 0.11/0.40 thf(f19,plain,( 0.11/0.40 ! [X1 : frac,X0 : frac] : (((lessf @ X1 @ X0) = $true) => ((moref @ X0 @ X1) = $true))), 0.11/0.40 inference(fool_elimination,[],[f18])). 0.11/0.40 thf(f18,plain,( 0.11/0.40 ! [X0 : frac,X1 : frac] : ((lessf @ X1 @ X0) => (moref @ X0 @ X1))), 0.11/0.40 inference(rectify,[],[f5])). 0.11/0.40 thf(f5,axiom,( 0.11/0.40 ! [X1 : frac,X0 : frac] : ((lessf @ X0 @ X1) => (moref @ X1 @ X0))), 0.11/0.40 file('/export/starexec/sandbox/tmp/tmp.N4nyj6fQRj/E---3.1_26648.p',satz43)). 0.11/0.40 thf(f46,plain,( 0.11/0.40 ((moref @ (pf @ x @ z) @ (pf @ y @ u)) != $true)), 0.11/0.40 inference(cnf_transformation,[],[f30])). 0.11/0.40 thf(f30,plain,( 0.11/0.40 ((moref @ (pf @ x @ z) @ (pf @ y @ u)) != $true)), 0.11/0.40 inference(flattening,[],[f17])). 0.11/0.40 thf(f17,plain,( 0.11/0.40 ~((moref @ (pf @ x @ z) @ (pf @ y @ u)) = $true)), 0.11/0.40 inference(fool_elimination,[],[f16])). 0.11/0.40 thf(f16,plain,( 0.11/0.40 ~(moref @ (pf @ x @ z) @ (pf @ y @ u))), 0.11/0.40 inference(rectify,[],[f3])). 0.11/0.40 thf(f3,negated_conjecture,( 0.11/0.40 ~(moref @ (pf @ x @ z) @ (pf @ y @ u))), 0.11/0.40 inference(negated_conjecture,[],[f2])). 0.11/0.40 thf(f2,conjecture,( 0.11/0.40 (moref @ (pf @ x @ z) @ (pf @ y @ u))), 0.11/0.40 file('/export/starexec/sandbox/tmp/tmp.N4nyj6fQRj/E---3.1_26648.p',satz64)). 0.11/0.40 % SZS output end Proof for E---3.1_26648 0.11/0.40 % (26755)------------------------------ 0.11/0.40 % (26755)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.11/0.40 % (26755)Termination reason: Refutation 0.11/0.40 0.11/0.40 % (26755)Memory used [KB]: 5628 0.11/0.40 % (26755)Time elapsed: 0.031 s 0.11/0.40 % (26755)Instructions burned: 40 (million) 0.11/0.40 % (26755)------------------------------ 0.11/0.40 % (26755)------------------------------ 0.11/0.40 % (26754)Success in time 0.03 s 0.11/0.40 EOF