0.08/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s 0.13/0.34 % Computer : n018.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 300 0.13/0.34 % WCLimit : 300 0.13/0.34 % DateTime : Fri Jul 5 04:22:39 EDT 2024 0.13/0.34 % CPUTime : 0.13/0.36 This is a THF_ problem 0.13/0.37 Running vampire_ho --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.38 % (32065)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on theBenchmark for (2999ds/36Mi) 0.13/0.38 % (32064)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2999ds/96Mi) 0.13/0.38 % (32066)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on theBenchmark for (2999ds/34Mi) 0.13/0.38 % (32068)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi) 0.13/0.38 % (32067)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on theBenchmark for (2999ds/385Mi) 0.13/0.38 % (32069)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 theBenchmark for (2999ds/74Mi) 0.13/0.38 % (32070)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi) 0.13/0.39 % (32071)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on theBenchmark for (2999ds/915Mi) 0.13/0.39 % (32070)Instruction limit reached! 0.13/0.39 % (32070)------------------------------ 0.13/0.39 % (32070)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.13/0.39 % (32070)Termination reason: Unknown 0.13/0.39 % (32070)Termination phase: Saturation 0.13/0.39 0.13/0.39 % (32070)Memory used [KB]: 5500 0.13/0.39 % (32070)Time elapsed: 0.005 s 0.13/0.39 % (32070)Instructions burned: 4 (million) 0.13/0.39 % (32070)------------------------------ 0.13/0.39 % (32070)------------------------------ 0.22/0.40 % (32068)Instruction limit reached! 0.22/0.40 % (32068)------------------------------ 0.22/0.40 % (32068)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.40 % (32068)Termination reason: Unknown 0.22/0.40 % (32068)Termination phase: Saturation 0.22/0.40 0.22/0.40 % (32068)Memory used [KB]: 5628 0.22/0.40 % (32068)Time elapsed: 0.014 s 0.22/0.40 % (32068)Instructions burned: 17 (million) 0.22/0.40 % (32068)------------------------------ 0.22/0.40 % (32068)------------------------------ 0.22/0.40 % (32072)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi) 0.22/0.41 % (32066)Instruction limit reached! 0.22/0.41 % (32066)------------------------------ 0.22/0.41 % (32066)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.41 % (32066)Termination reason: Unknown 0.22/0.41 % (32066)Termination phase: Saturation 0.22/0.41 0.22/0.41 % (32066)Memory used [KB]: 5628 0.22/0.41 % (32066)Time elapsed: 0.025 s 0.22/0.41 % (32066)Instructions burned: 34 (million) 0.22/0.41 % (32066)------------------------------ 0.22/0.41 % (32066)------------------------------ 0.22/0.41 % (32065)Instruction limit reached! 0.22/0.41 % (32065)------------------------------ 0.22/0.41 % (32065)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.41 % (32065)Termination reason: Unknown 0.22/0.41 % (32065)Termination phase: Saturation 0.22/0.41 0.22/0.41 % (32065)Memory used [KB]: 5628 0.22/0.41 % (32065)Time elapsed: 0.026 s 0.22/0.41 % (32065)Instructions burned: 36 (million) 0.22/0.41 % (32065)------------------------------ 0.22/0.41 % (32065)------------------------------ 0.22/0.41 % (32075)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi) 0.22/0.42 % (32075)Instruction limit reached! 0.22/0.42 % (32075)------------------------------ 0.22/0.42 % (32075)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.42 % (32075)Termination reason: Unknown 0.22/0.42 % (32075)Termination phase: Saturation 0.22/0.42 0.22/0.42 % (32075)Memory used [KB]: 5500 0.22/0.42 % (32075)Time elapsed: 0.007 s 0.22/0.42 % (32075)Instructions burned: 7 (million) 0.22/0.42 % (32075)------------------------------ 0.22/0.42 % (32075)------------------------------ 0.22/0.42 % (32072)Instruction limit reached! 0.22/0.42 % (32072)------------------------------ 0.22/0.42 % (32072)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.42 % (32072)Termination reason: Unknown 0.22/0.42 % (32072)Termination phase: Saturation 0.22/0.42 0.22/0.42 % (32072)Memory used [KB]: 5628 0.22/0.42 % (32072)Time elapsed: 0.018 s 0.22/0.42 % (32072)Instructions burned: 22 (million) 0.22/0.42 % (32072)------------------------------ 0.22/0.42 % (32072)------------------------------ 0.22/0.42 % (32080)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on theBenchmark for (2999ds/1021Mi) 0.22/0.42 % (32081)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2999ds/71Mi) 0.22/0.43 % (32069)Instruction limit reached! 0.22/0.43 % (32069)------------------------------ 0.22/0.43 % (32069)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.43 % (32069)Termination reason: Unknown 0.22/0.43 % (32069)Termination phase: Saturation 0.22/0.43 0.22/0.43 % (32069)Memory used [KB]: 5884 0.22/0.43 % (32069)Time elapsed: 0.048 s 0.22/0.43 % (32069)Instructions burned: 74 (million) 0.22/0.43 % (32069)------------------------------ 0.22/0.43 % (32069)------------------------------ 0.22/0.43 % (32086)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on theBenchmark for (2999ds/9Mi) 0.22/0.43 % (32088)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on theBenchmark for (2999ds/1044Mi) 0.22/0.44 % (32086)Instruction limit reached! 0.22/0.44 % (32086)------------------------------ 0.22/0.44 % (32086)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.44 % (32086)Termination reason: Unknown 0.22/0.44 % (32086)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (32086)Memory used [KB]: 5500 0.22/0.44 % (32086)Time elapsed: 0.029 s 0.22/0.44 % (32086)Instructions burned: 9 (million) 0.22/0.44 % (32086)------------------------------ 0.22/0.44 % (32086)------------------------------ 0.22/0.44 % (32064)Instruction limit reached! 0.22/0.44 % (32064)------------------------------ 0.22/0.44 % (32064)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.44 % (32064)Termination reason: Unknown 0.22/0.44 % (32064)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (32064)Memory used [KB]: 5756 0.22/0.44 % (32064)Time elapsed: 0.060 s 0.22/0.44 % (32064)Instructions burned: 97 (million) 0.22/0.44 % (32064)------------------------------ 0.22/0.44 % (32064)------------------------------ 0.22/0.45 % (32093)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on theBenchmark for (2999ds/128Mi) 0.22/0.45 % (32071)First to succeed. 0.22/0.45 % (32097)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on theBenchmark for (2999ds/61Mi) 0.22/0.45 % (32071)Refutation found. Thanks to Tanya! 0.22/0.45 % SZS status Theorem for theBenchmark 0.22/0.45 % SZS output start Proof for theBenchmark 0.22/0.45 thf(func_def_0, type, nt: $i > $i). 0.22/0.45 thf(func_def_1, type, imp: $i > $i > $i). 0.22/0.45 thf(func_def_2, type, cT: $i > $o). 0.22/0.45 thf(f478,plain,( 0.22/0.45 $false), 0.22/0.45 inference(avatar_sat_refutation,[],[f61,f477])). 0.22/0.45 thf(f477,plain,( 0.22/0.45 spl1_3), 0.22/0.45 inference(avatar_split_clause,[],[f471,f44])). 0.22/0.45 thf(f44,plain,( 0.22/0.45 spl1_3 <=> ! [X0] : ((cT @ X0) != $true)), 0.22/0.45 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])). 0.22/0.45 thf(f471,plain,( 0.22/0.45 ( ! [X0 : $i] : (((cT @ X0) != $true)) )), 0.22/0.45 inference(trivial_inequality_removal,[],[f468])). 0.22/0.45 thf(f468,plain,( 0.22/0.45 ( ! [X0 : $i] : (((cT @ X0) != $true) | ($true != $true)) )), 0.22/0.45 inference(superposition,[],[f457,f16])). 0.22/0.45 thf(f16,plain,( 0.22/0.45 ( ! [X0 : $i,X1 : $i] : (((cT @ (imp @ X1 @ X0)) = $true) | ((cT @ X0) != $true)) )), 0.22/0.45 inference(trivial_inequality_removal,[],[f15])). 0.22/0.45 thf(f15,plain,( 0.22/0.45 ( ! [X0 : $i,X1 : $i] : (((cT @ X0) != $true) | ((cT @ (imp @ X1 @ X0)) = $true) | ($true != $true)) )), 0.22/0.45 inference(superposition,[],[f10,f12])). 0.22/0.45 thf(f12,plain,( 0.22/0.45 ( ! [X3 : $i,X4 : $i] : (((cT @ (imp @ X4 @ (imp @ X3 @ X4))) = $true)) )), 0.22/0.45 inference(cnf_transformation,[],[f9])). 0.22/0.45 thf(f9,plain,( 0.22/0.45 ! [X0,X1] : ((cT @ (imp @ (imp @ (nt @ X0) @ (nt @ X1)) @ (imp @ X1 @ X0))) = $true) & ((cT @ (imp @ (nt @ (nt @ sK0)) @ sK0)) != $true) & ! [X3,X4] : ((cT @ (imp @ X4 @ (imp @ X3 @ X4))) = $true) & ! [X5,X6,X7] : ((cT @ (imp @ (imp @ X7 @ (imp @ X6 @ X5)) @ (imp @ (imp @ X7 @ X6) @ (imp @ X7 @ X5)))) = $true) & ! [X8,X9] : (((cT @ (imp @ X8 @ X9)) != $true) | ((cT @ X9) = $true) | ($true != (cT @ X8)))), 0.22/0.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8])). 0.22/0.45 thf(f8,plain,( 0.22/0.45 ? [X2] : ((cT @ (imp @ (nt @ (nt @ X2)) @ X2)) != $true) => ((cT @ (imp @ (nt @ (nt @ sK0)) @ sK0)) != $true)), 0.22/0.45 introduced(choice_axiom,[])). 0.22/0.45 thf(f7,plain,( 0.22/0.45 ! [X0,X1] : ((cT @ (imp @ (imp @ (nt @ X0) @ (nt @ X1)) @ (imp @ X1 @ X0))) = $true) & ? [X2] : ((cT @ (imp @ (nt @ (nt @ X2)) @ X2)) != $true) & ! [X3,X4] : ((cT @ (imp @ X4 @ (imp @ X3 @ X4))) = $true) & ! [X5,X6,X7] : ((cT @ (imp @ (imp @ X7 @ (imp @ X6 @ X5)) @ (imp @ (imp @ X7 @ X6) @ (imp @ X7 @ X5)))) = $true) & ! [X8,X9] : (((cT @ (imp @ X8 @ X9)) != $true) | ((cT @ X9) = $true) | ($true != (cT @ X8)))), 0.22/0.45 inference(rectify,[],[f6])). 0.22/0.45 thf(f6,plain,( 0.22/0.45 ! [X4,X3] : ($true = (cT @ (imp @ (imp @ (nt @ X4) @ (nt @ X3)) @ (imp @ X3 @ X4)))) & ? [X9] : ((cT @ (imp @ (nt @ (nt @ X9)) @ X9)) != $true) & ! [X8,X7] : ((cT @ (imp @ X7 @ (imp @ X8 @ X7))) = $true) & ! [X0,X1,X2] : ((cT @ (imp @ (imp @ X2 @ (imp @ X1 @ X0)) @ (imp @ (imp @ X2 @ X1) @ (imp @ X2 @ X0)))) = $true) & ! [X5,X6] : (((cT @ (imp @ X5 @ X6)) != $true) | ((cT @ X6) = $true) | ((cT @ X5) != $true))), 0.22/0.45 inference(flattening,[],[f5])). 0.22/0.45 thf(f5,plain,( 0.22/0.45 ~~(! [X0,X1,X2] : ((cT @ (imp @ (imp @ X2 @ (imp @ X1 @ X0)) @ (imp @ (imp @ X2 @ X1) @ (imp @ X2 @ X0)))) = $true) & ! [X4,X3] : ($true = (cT @ (imp @ (imp @ (nt @ X4) @ (nt @ X3)) @ (imp @ X3 @ X4)))) & ! [X5,X6] : (~((cT @ (imp @ X5 @ X6)) = $true) | ((cT @ X6) = $true) | ~((cT @ X5) = $true)) & ! [X8,X7] : ((cT @ (imp @ X7 @ (imp @ X8 @ X7))) = $true) & ? [X9] : ~((cT @ (imp @ (nt @ (nt @ X9)) @ X9)) = $true))), 0.22/0.45 inference(fool_elimination,[],[f4])). 0.22/0.45 thf(f4,plain,( 0.22/0.45 ~~(! [X0,X1,X2] : (cT @ (imp @ (imp @ X2 @ (imp @ X1 @ X0)) @ (imp @ (imp @ X2 @ X1) @ (imp @ X2 @ X0)))) & ! [X3,X4] : (cT @ (imp @ (imp @ (nt @ X4) @ (nt @ X3)) @ (imp @ X3 @ X4))) & ! [X5,X6] : (~(cT @ (imp @ X5 @ X6)) | (cT @ X6) | ~(cT @ X5)) & ! [X7,X8] : (cT @ (imp @ X7 @ (imp @ X8 @ X7))) & ? [X9] : ~(cT @ (imp @ (nt @ (nt @ X9)) @ X9)))), 0.22/0.45 inference(rectify,[],[f2])). 0.22/0.45 thf(f2,negated_conjecture,( 0.22/0.45 ~~(! [X3,X1,X0] : (cT @ (imp @ (imp @ X0 @ (imp @ X1 @ X3)) @ (imp @ (imp @ X0 @ X1) @ (imp @ X0 @ X3)))) & ! [X1,X0] : (cT @ (imp @ (imp @ (nt @ X0) @ (nt @ X1)) @ (imp @ X1 @ X0))) & ! [X0,X1] : (~(cT @ (imp @ X0 @ X1)) | (cT @ X1) | ~(cT @ X0)) & ! [X0,X1] : (cT @ (imp @ X0 @ (imp @ X1 @ X0))) & ? [X2] : ~(cT @ (imp @ (nt @ (nt @ X2)) @ X2)))), 0.22/0.45 inference(negated_conjecture,[],[f1])). 0.22/0.45 thf(f1,conjecture,( 0.22/0.45 ~(! [X3,X1,X0] : (cT @ (imp @ (imp @ X0 @ (imp @ X1 @ X3)) @ (imp @ (imp @ X0 @ X1) @ (imp @ X0 @ X3)))) & ! [X1,X0] : (cT @ (imp @ (imp @ (nt @ X0) @ (nt @ X1)) @ (imp @ X1 @ X0))) & ! [X0,X1] : (~(cT @ (imp @ X0 @ X1)) | (cT @ X1) | ~(cT @ X0)) & ! [X0,X1] : (cT @ (imp @ X0 @ (imp @ X1 @ X0))) & ? [X2] : ~(cT @ (imp @ (nt @ (nt @ X2)) @ X2)))), 0.22/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cLCL077_1)). 0.22/0.45 thf(f10,plain,( 0.22/0.45 ( ! [X8 : $i,X9 : $i] : (((cT @ (imp @ X8 @ X9)) != $true) | ($true != (cT @ X8)) | ((cT @ X9) = $true)) )), 0.22/0.45 inference(cnf_transformation,[],[f9])). 0.22/0.45 thf(f457,plain,( 0.22/0.45 ( ! [X0 : $i] : (((cT @ (imp @ (imp @ (nt @ sK0) @ (nt @ X0)) @ X0)) != $true)) )), 0.22/0.45 inference(trivial_inequality_removal,[],[f447])). 0.22/0.45 thf(f447,plain,( 0.22/0.45 ( ! [X0 : $i] : (($true != $true) | ((cT @ (imp @ (imp @ (nt @ sK0) @ (nt @ X0)) @ X0)) != $true)) )), 0.22/0.45 inference(superposition,[],[f437,f75])). 0.22/0.45 thf(f75,plain,( 0.22/0.45 ( ! [X0 : $i,X1 : $i] : (((cT @ (imp @ (imp @ (nt @ X0) @ (nt @ X1)) @ X0)) = $true) | ((cT @ (imp @ (imp @ (nt @ X0) @ (nt @ X1)) @ X1)) != $true)) )), 0.22/0.45 inference(trivial_inequality_removal,[],[f70])). 0.22/0.45 thf(f70,plain,( 0.22/0.45 ( ! [X0 : $i,X1 : $i] : (((cT @ (imp @ (imp @ (nt @ X0) @ (nt @ X1)) @ X1)) != $true) | ((cT @ (imp @ (imp @ (nt @ X0) @ (nt @ X1)) @ X0)) = $true) | ($true != $true)) )), 0.22/0.45 inference(superposition,[],[f65,f14])). 0.22/0.45 thf(f14,plain,( 0.22/0.45 ( ! [X0 : $i,X1 : $i] : (((cT @ (imp @ (imp @ (nt @ X0) @ (nt @ X1)) @ (imp @ X1 @ X0))) = $true)) )), 0.22/0.45 inference(cnf_transformation,[],[f9])). 0.22/0.45 thf(f65,plain,( 0.22/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((cT @ (imp @ X0 @ (imp @ X1 @ X2))) != $true) | ((cT @ (imp @ X0 @ X2)) = $true) | ((cT @ (imp @ X0 @ X1)) != $true)) )), 0.22/0.45 inference(trivial_inequality_removal,[],[f64])). 0.22/0.45 thf(f64,plain,( 0.22/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | ((cT @ (imp @ X0 @ (imp @ X1 @ X2))) != $true) | ((cT @ (imp @ X0 @ X2)) = $true) | ((cT @ (imp @ X0 @ X1)) != $true)) )), 0.22/0.45 inference(superposition,[],[f10,f63])). 0.22/0.45 thf(f63,plain,( 0.22/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((cT @ (imp @ (imp @ X0 @ X1) @ (imp @ X0 @ X2))) = $true) | ((cT @ (imp @ X0 @ (imp @ X1 @ X2))) != $true)) )), 0.22/0.45 inference(trivial_inequality_removal,[],[f62])). 0.22/0.45 thf(f62,plain,( 0.22/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((cT @ (imp @ X0 @ (imp @ X1 @ X2))) != $true) | ((cT @ (imp @ (imp @ X0 @ X1) @ (imp @ X0 @ X2))) = $true) | ($true != $true)) )), 0.22/0.45 inference(superposition,[],[f10,f11])). 0.22/0.45 thf(f11,plain,( 0.22/0.45 ( ! [X6 : $i,X7 : $i,X5 : $i] : (((cT @ (imp @ (imp @ X7 @ (imp @ X6 @ X5)) @ (imp @ (imp @ X7 @ X6) @ (imp @ X7 @ X5)))) = $true)) )), 0.22/0.45 inference(cnf_transformation,[],[f9])). 0.22/0.45 thf(f437,plain,( 0.22/0.45 ( ! [X0 : $i] : (($true != (cT @ (imp @ (imp @ (nt @ sK0) @ X0) @ sK0)))) )), 0.22/0.45 inference(trivial_inequality_removal,[],[f423])). 0.22/0.45 thf(f423,plain,( 0.22/0.45 ( ! [X0 : $i] : (($true != (cT @ (imp @ (imp @ (nt @ sK0) @ X0) @ sK0))) | ($true != $true)) )), 0.22/0.45 inference(superposition,[],[f154,f14])). 0.22/0.45 thf(f154,plain,( 0.22/0.45 ( ! [X0 : $i,X1 : $i] : (((cT @ (imp @ (imp @ X0 @ (nt @ (nt @ sK0))) @ X1)) != $true) | ((cT @ (imp @ X1 @ sK0)) != $true)) )), 0.22/0.45 inference(trivial_inequality_removal,[],[f150])). 0.22/0.45 thf(f150,plain,( 0.22/0.45 ( ! [X0 : $i,X1 : $i] : (((cT @ (imp @ X1 @ sK0)) != $true) | ((cT @ (imp @ (imp @ X0 @ (nt @ (nt @ sK0))) @ X1)) != $true) | ($true != $true)) )), 0.22/0.45 inference(superposition,[],[f122,f77])). 0.22/0.45 thf(f77,plain,( 0.22/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((cT @ (imp @ X0 @ X2)) = $true) | ((cT @ (imp @ X0 @ X1)) != $true) | ((cT @ (imp @ X1 @ X2)) != $true)) )), 0.22/0.45 inference(trivial_inequality_removal,[],[f69])). 0.22/0.45 thf(f69,plain,( 0.22/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((cT @ (imp @ X0 @ X2)) = $true) | ($true != $true) | ((cT @ (imp @ X1 @ X2)) != $true) | ((cT @ (imp @ X0 @ X1)) != $true)) )), 0.22/0.45 inference(superposition,[],[f65,f16])). 0.22/0.45 thf(f122,plain,( 0.22/0.45 ( ! [X0 : $i] : (($true != (cT @ (imp @ (imp @ X0 @ (nt @ (nt @ sK0))) @ sK0)))) )), 0.22/0.45 inference(trivial_inequality_removal,[],[f112])). 0.22/0.45 thf(f112,plain,( 0.22/0.45 ( ! [X0 : $i] : (($true != $true) | ($true != (cT @ (imp @ (imp @ X0 @ (nt @ (nt @ sK0))) @ sK0)))) )), 0.22/0.45 inference(superposition,[],[f111,f12])). 0.22/0.45 thf(f111,plain,( 0.22/0.45 ( ! [X0 : $i] : (((cT @ (imp @ (nt @ (nt @ sK0)) @ X0)) != $true) | ((cT @ (imp @ X0 @ sK0)) != $true)) )), 0.22/0.45 inference(trivial_inequality_removal,[],[f102])). 0.22/0.45 thf(f102,plain,( 0.22/0.45 ( ! [X0 : $i] : (((cT @ (imp @ (nt @ (nt @ sK0)) @ X0)) != $true) | ((cT @ (imp @ X0 @ sK0)) != $true) | ($true != $true)) )), 0.22/0.45 inference(superposition,[],[f13,f77])). 0.22/0.45 thf(f13,plain,( 0.22/0.45 ((cT @ (imp @ (nt @ (nt @ sK0)) @ sK0)) != $true)), 0.22/0.45 inference(cnf_transformation,[],[f9])). 0.22/0.45 thf(f61,plain,( 0.22/0.45 ~spl1_3), 0.22/0.45 inference(avatar_contradiction_clause,[],[f60])). 0.22/0.45 thf(f60,plain,( 0.22/0.45 $false | ~spl1_3), 0.22/0.45 inference(trivial_inequality_removal,[],[f54])). 0.22/0.45 thf(f54,plain,( 0.22/0.45 ($true != $true) | ~spl1_3), 0.22/0.45 inference(superposition,[],[f45,f14])). 0.22/0.45 thf(f45,plain,( 0.22/0.45 ( ! [X0 : $i] : (((cT @ X0) != $true)) ) | ~spl1_3), 0.22/0.45 inference(avatar_component_clause,[],[f44])). 0.22/0.45 % SZS output end Proof for theBenchmark 0.22/0.45 % (32071)------------------------------ 0.22/0.45 % (32071)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.45 % (32071)Termination reason: Refutation 0.22/0.45 0.22/0.45 % (32071)Memory used [KB]: 5756 0.22/0.45 % (32071)Time elapsed: 0.069 s 0.22/0.45 % (32071)Instructions burned: 111 (million) 0.22/0.45 % (32071)------------------------------ 0.22/0.45 % (32071)------------------------------ 0.22/0.45 % (32063)Success in time 0.067 s 0.22/0.45 % Vampire---4.8 exiting 0.22/0.45 EOF