TSTP Solution File: SYO272^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO272^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% 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
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:03:44 EDT 2024
% Result : Theorem 0.13s 0.33s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SYO272^5 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.09 % 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
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Mon May 20 09:08:07 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.09/0.28 This is a TH0_THM_NEQ_NAR problem
% 0.09/0.28 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.29 % (9922)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.13/0.29 % (9917)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 theBenchmark for (3000ds/27Mi)
% 0.13/0.29 % (9919)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.29 % (9918)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.29 % (9916)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 theBenchmark for (3000ds/4Mi)
% 0.13/0.29 % (9921)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.13/0.29 % (9918)Instruction limit reached!
% 0.13/0.29 % (9918)------------------------------
% 0.13/0.29 % (9918)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.29 % (9918)Termination reason: Unknown
% 0.13/0.29 % (9918)Termination phase: Saturation
% 0.13/0.29
% 0.13/0.29 % (9919)Instruction limit reached!
% 0.13/0.29 % (9919)------------------------------
% 0.13/0.29 % (9919)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.29 % (9919)Termination reason: Unknown
% 0.13/0.29 % (9919)Termination phase: Saturation
% 0.13/0.29
% 0.13/0.29 % (9919)Memory used [KB]: 5500
% 0.13/0.29 % (9919)Time elapsed: 0.002 s
% 0.13/0.29 % (9919)Instructions burned: 2 (million)
% 0.13/0.29 % (9919)------------------------------
% 0.13/0.29 % (9919)------------------------------
% 0.13/0.29 % (9918)Memory used [KB]: 5500
% 0.13/0.29 % (9918)Time elapsed: 0.002 s
% 0.13/0.29 % (9918)Instructions burned: 3 (million)
% 0.13/0.29 % (9918)------------------------------
% 0.13/0.29 % (9918)------------------------------
% 0.13/0.29 % (9922)Instruction limit reached!
% 0.13/0.29 % (9922)------------------------------
% 0.13/0.29 % (9922)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.29 % (9922)Termination reason: Unknown
% 0.13/0.29 % (9922)Termination phase: Saturation
% 0.13/0.29
% 0.13/0.29 % (9922)Memory used [KB]: 5500
% 0.13/0.29 % (9922)Time elapsed: 0.003 s
% 0.13/0.29 % (9922)Instructions burned: 3 (million)
% 0.13/0.29 % (9922)------------------------------
% 0.13/0.29 % (9922)------------------------------
% 0.13/0.30 % (9916)Instruction limit reached!
% 0.13/0.30 % (9916)------------------------------
% 0.13/0.30 % (9916)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.30 % (9916)Termination reason: Unknown
% 0.13/0.30 % (9916)Termination phase: Saturation
% 0.13/0.30
% 0.13/0.30 % (9916)Memory used [KB]: 5500
% 0.13/0.30 % (9916)Time elapsed: 0.004 s
% 0.13/0.30 % (9916)Instructions burned: 5 (million)
% 0.13/0.30 % (9916)------------------------------
% 0.13/0.30 % (9916)------------------------------
% 0.13/0.30 % (9915)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.13/0.30 % (9920)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.13/0.30 % (9921)Instruction limit reached!
% 0.13/0.30 % (9921)------------------------------
% 0.13/0.30 % (9921)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.30 % (9921)Termination reason: Unknown
% 0.13/0.30 % (9921)Termination phase: Saturation
% 0.13/0.30
% 0.13/0.30 % (9921)Memory used [KB]: 5628
% 0.13/0.30 % (9921)Time elapsed: 0.010 s
% 0.13/0.30 % (9921)Instructions burned: 19 (million)
% 0.13/0.30 % (9921)------------------------------
% 0.13/0.30 % (9921)------------------------------
% 0.13/0.30 % (9934)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 theBenchmark for (2999ds/37Mi)
% 0.13/0.30 % (9936)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.30 % (9935)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 theBenchmark for (2999ds/15Mi)
% 0.13/0.30 % (9939)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 theBenchmark for (2999ds/1041Mi)
% 0.13/0.30 % (9936)Instruction limit reached!
% 0.13/0.30 % (9936)------------------------------
% 0.13/0.30 % (9936)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.30 % (9936)Termination reason: Unknown
% 0.13/0.30 % (9936)Termination phase: Saturation
% 0.13/0.30
% 0.13/0.30 % (9936)Memory used [KB]: 5500
% 0.13/0.30 % (9936)Time elapsed: 0.003 s
% 0.13/0.30 % (9936)Instructions burned: 4 (million)
% 0.13/0.30 % (9936)------------------------------
% 0.13/0.30 % (9936)------------------------------
% 0.13/0.30 % (9917)Instruction limit reached!
% 0.13/0.30 % (9917)------------------------------
% 0.13/0.30 % (9917)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.30 % (9917)Termination reason: Unknown
% 0.13/0.30 % (9917)Termination phase: Saturation
% 0.13/0.30
% 0.13/0.30 % (9917)Memory used [KB]: 5628
% 0.13/0.30 % (9917)Time elapsed: 0.013 s
% 0.13/0.30 % (9917)Instructions burned: 28 (million)
% 0.13/0.30 % (9917)------------------------------
% 0.13/0.30 % (9917)------------------------------
% 0.13/0.31 % (9935)Instruction limit reached!
% 0.13/0.31 % (9935)------------------------------
% 0.13/0.31 % (9935)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.31 % (9935)Termination reason: Unknown
% 0.13/0.31 % (9935)Termination phase: Saturation
% 0.13/0.31
% 0.13/0.31 % (9935)Memory used [KB]: 5628
% 0.13/0.31 % (9935)Time elapsed: 0.008 s
% 0.13/0.31 % (9935)Instructions burned: 16 (million)
% 0.13/0.31 % (9935)------------------------------
% 0.13/0.31 % (9935)------------------------------
% 0.13/0.31 % (9943)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.13/0.31 % (9944)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 theBenchmark for (2999ds/3Mi)
% 0.13/0.31 % (9942)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.32 % (9944)Instruction limit reached!
% 0.13/0.32 % (9944)------------------------------
% 0.13/0.32 % (9944)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.32 % (9944)Termination reason: Unknown
% 0.13/0.32 % (9944)Termination phase: Property scanning
% 0.13/0.32
% 0.13/0.32 % (9944)Memory used [KB]: 1023
% 0.13/0.32 % (9944)Time elapsed: 0.003 s
% 0.13/0.32 % (9944)Instructions burned: 6 (million)
% 0.13/0.32 % (9944)------------------------------
% 0.13/0.32 % (9944)------------------------------
% 0.13/0.32 % (9934)Instruction limit reached!
% 0.13/0.32 % (9934)------------------------------
% 0.13/0.32 % (9934)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.32 % (9934)Termination reason: Unknown
% 0.13/0.32 % (9934)Termination phase: Saturation
% 0.13/0.32
% 0.13/0.32 % (9934)Memory used [KB]: 5884
% 0.13/0.32 % (9934)Time elapsed: 0.014 s
% 0.13/0.32 % (9934)Instructions burned: 38 (million)
% 0.13/0.32 % (9934)------------------------------
% 0.13/0.32 % (9934)------------------------------
% 0.13/0.32 % (9942)Instruction limit reached!
% 0.13/0.32 % (9942)------------------------------
% 0.13/0.32 % (9942)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.32 % (9942)Termination reason: Unknown
% 0.13/0.32 % (9942)Termination phase: Saturation
% 0.13/0.32
% 0.13/0.32 % (9942)Memory used [KB]: 1023
% 0.13/0.32 % (9942)Time elapsed: 0.005 s
% 0.13/0.32 % (9942)Instructions burned: 7 (million)
% 0.13/0.32 % (9942)------------------------------
% 0.13/0.32 % (9942)------------------------------
% 0.13/0.32 % (9946)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 theBenchmark for (2999ds/3Mi)
% 0.13/0.32 % (9946)Instruction limit reached!
% 0.13/0.32 % (9946)------------------------------
% 0.13/0.32 % (9946)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.32 % (9946)Termination reason: Unknown
% 0.13/0.32 % (9946)Termination phase: Property scanning
% 0.13/0.32
% 0.13/0.32 % (9946)Memory used [KB]: 1023
% 0.13/0.32 % (9946)Time elapsed: 0.002 s
% 0.13/0.32 % (9946)Instructions burned: 3 (million)
% 0.13/0.32 % (9946)------------------------------
% 0.13/0.32 % (9946)------------------------------
% 0.13/0.32 % (9943)Instruction limit reached!
% 0.13/0.32 % (9943)------------------------------
% 0.13/0.32 % (9943)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.32 % (9943)Termination reason: Unknown
% 0.13/0.32 % (9943)Termination phase: Saturation
% 0.13/0.32
% 0.13/0.32 % (9943)Memory used [KB]: 5756
% 0.13/0.32 % (9943)Time elapsed: 0.008 s
% 0.13/0.32 % (9943)Instructions burned: 18 (million)
% 0.13/0.32 % (9943)------------------------------
% 0.13/0.32 % (9943)------------------------------
% 0.13/0.32 % (9951)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.32 % (9952)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.32 % (9915)First to succeed.
% 0.13/0.33 % (9952)Instruction limit reached!
% 0.13/0.33 % (9952)------------------------------
% 0.13/0.33 % (9952)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.33 % (9952)Termination reason: Unknown
% 0.13/0.33 % (9952)Termination phase: Saturation
% 0.13/0.33
% 0.13/0.33 % (9952)Memory used [KB]: 5500
% 0.13/0.33 % (9952)Time elapsed: 0.003 s
% 0.13/0.33 % (9952)Instructions burned: 4 (million)
% 0.13/0.33 % (9952)------------------------------
% 0.13/0.33 % (9952)------------------------------
% 0.13/0.33 % (9951)Instruction limit reached!
% 0.13/0.33 % (9951)------------------------------
% 0.13/0.33 % (9951)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.33 % (9951)Termination reason: Unknown
% 0.13/0.33 % (9951)Termination phase: Saturation
% 0.13/0.33
% 0.13/0.33 % (9951)Memory used [KB]: 5500
% 0.13/0.33 % (9951)Time elapsed: 0.004 s
% 0.13/0.33 % (9951)Instructions burned: 8 (million)
% 0.13/0.33 % (9951)------------------------------
% 0.13/0.33 % (9951)------------------------------
% 0.13/0.33 % (9915)Refutation found. Thanks to Tanya!
% 0.13/0.33 % SZS status Theorem for theBenchmark
% 0.13/0.33 % SZS output start Proof for theBenchmark
% 0.13/0.33 thf(func_def_0, type, cHALF: $i > $i > $o).
% 0.13/0.33 thf(func_def_1, type, cDOUBLE: $i > $i > $o).
% 0.13/0.33 thf(func_def_2, type, cS: $i > $i).
% 0.13/0.33 thf(func_def_9, type, sK2: $i > $i > $i > $i > $o).
% 0.13/0.33 thf(func_def_10, type, sK3: ($i > $i > $o) > $i).
% 0.13/0.33 thf(func_def_11, type, sK4: ($i > $i > $o) > $i).
% 0.13/0.33 thf(func_def_14, type, ph6: !>[X0: $tType]:(X0)).
% 0.13/0.33 thf(f271,plain,(
% 0.13/0.33 $false),
% 0.13/0.33 inference(avatar_sat_refutation,[],[f129,f251,f270])).
% 0.13/0.33 thf(f270,plain,(
% 0.13/0.33 ~spl5_3),
% 0.13/0.33 inference(avatar_contradiction_clause,[],[f269])).
% 0.13/0.33 thf(f269,plain,(
% 0.13/0.33 $false | ~spl5_3),
% 0.13/0.33 inference(subsumption_resolution,[],[f258,f23])).
% 0.13/0.33 thf(f23,plain,(
% 0.13/0.33 ((cDOUBLE @ sK0 @ sK1) = $true)),
% 0.13/0.33 inference(cnf_transformation,[],[f13])).
% 0.13/0.33 thf(f13,plain,(
% 0.13/0.33 (((cDOUBLE @ sK0 @ sK1) = $true) & ((cHALF @ sK1 @ sK0) != $true)) & ! [X2,X3] : (((cHALF @ X3 @ X2) != $true) | ((cHALF @ (cS @ (cS @ X3)) @ (cS @ X2)) = $true)) & ((cHALF @ c0 @ c0) = $true) & ((cHALF @ (cS @ c0) @ c0) = $true) & ! [X4,X5] : ((((cDOUBLE @ X4 @ X5) = $true) | (! [X7,X8] : (((sK2 @ X5 @ X4 @ (cS @ X8) @ (cS @ (cS @ X7))) = $true) | ((sK2 @ X5 @ X4 @ X8 @ X7) != $true)) & ((sK2 @ X5 @ X4 @ X4 @ X5) != $true) & ((sK2 @ X5 @ X4 @ c0 @ c0) = $true))) & (! [X9 : $i > $i > $o] : ((((X9 @ (cS @ (sK4 @ X9)) @ (cS @ (cS @ (sK3 @ X9)))) != $true) & ((X9 @ (sK4 @ X9) @ (sK3 @ X9)) = $true)) | ((X9 @ X4 @ X5) = $true) | ((X9 @ c0 @ c0) != $true)) | ((cDOUBLE @ X4 @ X5) != $true)))),
% 0.13/0.33 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f9,f12,f11,f10])).
% 0.13/0.33 thf(f10,plain,(
% 0.13/0.33 ? [X0,X1] : (((cDOUBLE @ X0 @ X1) = $true) & ((cHALF @ X1 @ X0) != $true)) => (((cDOUBLE @ sK0 @ sK1) = $true) & ((cHALF @ sK1 @ sK0) != $true))),
% 0.13/0.33 introduced(choice_axiom,[])).
% 0.13/0.33 thf(f11,plain,(
% 0.13/0.33 ! [X4,X5] : (? [X6 : $i > $i > $o] : (! [X7,X8] : (($true = (X6 @ (cS @ X8) @ (cS @ (cS @ X7)))) | ((X6 @ X8 @ X7) != $true)) & ((X6 @ X4 @ X5) != $true) & ((X6 @ c0 @ c0) = $true)) => (! [X8,X7] : (((sK2 @ X5 @ X4 @ (cS @ X8) @ (cS @ (cS @ X7))) = $true) | ((sK2 @ X5 @ X4 @ X8 @ X7) != $true)) & ((sK2 @ X5 @ X4 @ X4 @ X5) != $true) & ((sK2 @ X5 @ X4 @ c0 @ c0) = $true)))),
% 0.13/0.33 introduced(choice_axiom,[])).
% 0.13/0.33 thf(f12,plain,(
% 0.13/0.33 ! [X9 : $i > $i > $o] : (? [X10,X11] : (((X9 @ (cS @ X11) @ (cS @ (cS @ X10))) != $true) & ((X9 @ X11 @ X10) = $true)) => (((X9 @ (cS @ (sK4 @ X9)) @ (cS @ (cS @ (sK3 @ X9)))) != $true) & ((X9 @ (sK4 @ X9) @ (sK3 @ X9)) = $true)))),
% 0.13/0.33 introduced(choice_axiom,[])).
% 0.13/0.33 thf(f9,plain,(
% 0.13/0.33 ? [X0,X1] : (((cDOUBLE @ X0 @ X1) = $true) & ((cHALF @ X1 @ X0) != $true)) & ! [X2,X3] : (((cHALF @ X3 @ X2) != $true) | ((cHALF @ (cS @ (cS @ X3)) @ (cS @ X2)) = $true)) & ((cHALF @ c0 @ c0) = $true) & ((cHALF @ (cS @ c0) @ c0) = $true) & ! [X4,X5] : ((((cDOUBLE @ X4 @ X5) = $true) | ? [X6 : $i > $i > $o] : (! [X7,X8] : (($true = (X6 @ (cS @ X8) @ (cS @ (cS @ X7)))) | ((X6 @ X8 @ X7) != $true)) & ((X6 @ X4 @ X5) != $true) & ((X6 @ c0 @ c0) = $true))) & (! [X9 : $i > $i > $o] : (? [X10,X11] : (((X9 @ (cS @ X11) @ (cS @ (cS @ X10))) != $true) & ((X9 @ X11 @ X10) = $true)) | ((X9 @ X4 @ X5) = $true) | ((X9 @ c0 @ c0) != $true)) | ((cDOUBLE @ X4 @ X5) != $true)))),
% 0.13/0.33 inference(rectify,[],[f8])).
% 0.13/0.33 thf(f8,plain,(
% 0.13/0.33 ? [X7,X8] : (((cDOUBLE @ X7 @ X8) = $true) & ($true != (cHALF @ X8 @ X7))) & ! [X6,X5] : (($true != (cHALF @ X5 @ X6)) | ($true = (cHALF @ (cS @ (cS @ X5)) @ (cS @ X6)))) & ((cHALF @ c0 @ c0) = $true) & ((cHALF @ (cS @ c0) @ c0) = $true) & ! [X0,X1] : ((((cDOUBLE @ X0 @ X1) = $true) | ? [X2 : $i > $i > $o] : (! [X3,X4] : (($true = (X2 @ (cS @ X4) @ (cS @ (cS @ X3)))) | ((X2 @ X4 @ X3) != $true)) & ((X2 @ X0 @ X1) != $true) & ((X2 @ c0 @ c0) = $true))) & (! [X2 : $i > $i > $o] : (? [X3,X4] : (($true != (X2 @ (cS @ X4) @ (cS @ (cS @ X3)))) & ((X2 @ X4 @ X3) = $true)) | ((X2 @ X0 @ X1) = $true) | ((X2 @ c0 @ c0) != $true)) | ((cDOUBLE @ X0 @ X1) != $true)))),
% 0.13/0.33 inference(nnf_transformation,[],[f7])).
% 0.13/0.33 thf(f7,plain,(
% 0.13/0.33 ? [X7,X8] : (((cDOUBLE @ X7 @ X8) = $true) & ($true != (cHALF @ X8 @ X7))) & ! [X6,X5] : (($true != (cHALF @ X5 @ X6)) | ($true = (cHALF @ (cS @ (cS @ X5)) @ (cS @ X6)))) & ((cHALF @ c0 @ c0) = $true) & ((cHALF @ (cS @ c0) @ c0) = $true) & ! [X0,X1] : (((cDOUBLE @ X0 @ X1) = $true) <=> ! [X2 : $i > $i > $o] : (? [X3,X4] : (($true != (X2 @ (cS @ X4) @ (cS @ (cS @ X3)))) & ((X2 @ X4 @ X3) = $true)) | ((X2 @ X0 @ X1) = $true) | ((X2 @ c0 @ c0) != $true)))),
% 0.13/0.33 inference(flattening,[],[f6])).
% 0.13/0.33 thf(f6,plain,(
% 0.13/0.33 ? [X7,X8] : (((cDOUBLE @ X7 @ X8) = $true) & ($true != (cHALF @ X8 @ X7))) & (! [X6,X5] : (($true != (cHALF @ X5 @ X6)) | ($true = (cHALF @ (cS @ (cS @ X5)) @ (cS @ X6)))) & ((cHALF @ (cS @ c0) @ c0) = $true) & ((cHALF @ c0 @ c0) = $true) & ! [X0,X1] : (((cDOUBLE @ X0 @ X1) = $true) <=> ! [X2 : $i > $i > $o] : (((X2 @ X0 @ X1) = $true) | (? [X3,X4] : (($true != (X2 @ (cS @ X4) @ (cS @ (cS @ X3)))) & ((X2 @ X4 @ X3) = $true)) | ((X2 @ c0 @ c0) != $true)))))),
% 0.13/0.33 inference(ennf_transformation,[],[f5])).
% 0.13/0.33 thf(f5,plain,(
% 0.13/0.33 ~((! [X5,X6] : (($true = (cHALF @ X5 @ X6)) => ($true = (cHALF @ (cS @ (cS @ X5)) @ (cS @ X6)))) & ((cHALF @ (cS @ c0) @ c0) = $true) & ((cHALF @ c0 @ c0) = $true) & ! [X0,X1] : (((cDOUBLE @ X0 @ X1) = $true) <=> ! [X2 : $i > $i > $o] : ((! [X4,X3] : (((X2 @ X4 @ X3) = $true) => ($true = (X2 @ (cS @ X4) @ (cS @ (cS @ X3))))) & ((X2 @ c0 @ c0) = $true)) => ((X2 @ X0 @ X1) = $true)))) => ! [X7,X8] : (((cDOUBLE @ X7 @ X8) = $true) => ($true = (cHALF @ X8 @ X7))))),
% 0.13/0.33 inference(fool_elimination,[],[f4])).
% 0.13/0.33 thf(f4,plain,(
% 0.13/0.33 ~(((cHALF @ c0 @ c0) & (cHALF @ (cS @ c0) @ c0) & ! [X0,X1] : (! [X2 : $i > $i > $o] : ((! [X3,X4] : ((X2 @ X4 @ X3) => (X2 @ (cS @ X4) @ (cS @ (cS @ X3)))) & (X2 @ c0 @ c0)) => (X2 @ X0 @ X1)) <=> (cDOUBLE @ X0 @ X1)) & ! [X5,X6] : ((cHALF @ X5 @ X6) => (cHALF @ (cS @ (cS @ X5)) @ (cS @ X6)))) => ! [X7,X8] : ((cDOUBLE @ X7 @ X8) => (cHALF @ X8 @ X7)))),
% 0.13/0.33 inference(rectify,[],[f2])).
% 0.13/0.33 thf(f2,negated_conjecture,(
% 0.13/0.33 ~(((cHALF @ c0 @ c0) & (cHALF @ (cS @ c0) @ c0) & ! [X0,X1] : (! [X2 : $i > $i > $o] : ((! [X4,X3] : ((X2 @ X3 @ X4) => (X2 @ (cS @ X3) @ (cS @ (cS @ X4)))) & (X2 @ c0 @ c0)) => (X2 @ X0 @ X1)) <=> (cDOUBLE @ X0 @ X1)) & ! [X3,X4] : ((cHALF @ X3 @ X4) => (cHALF @ (cS @ (cS @ X3)) @ (cS @ X4)))) => ! [X0,X1] : ((cDOUBLE @ X0 @ X1) => (cHALF @ X1 @ X0)))),
% 0.13/0.33 inference(negated_conjecture,[],[f1])).
% 0.13/0.33 thf(f1,conjecture,(
% 0.13/0.33 ((cHALF @ c0 @ c0) & (cHALF @ (cS @ c0) @ c0) & ! [X0,X1] : (! [X2 : $i > $i > $o] : ((! [X4,X3] : ((X2 @ X3 @ X4) => (X2 @ (cS @ X3) @ (cS @ (cS @ X4)))) & (X2 @ c0 @ c0)) => (X2 @ X0 @ X1)) <=> (cDOUBLE @ X0 @ X1)) & ! [X3,X4] : ((cHALF @ X3 @ X4) => (cHALF @ (cS @ (cS @ X3)) @ (cS @ X4)))) => ! [X0,X1] : ((cDOUBLE @ X0 @ X1) => (cHALF @ X1 @ X0))),
% 0.13/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM301A)).
% 0.13/0.33 thf(f258,plain,(
% 0.13/0.33 ((cDOUBLE @ sK0 @ sK1) != $true) | ~spl5_3),
% 0.13/0.33 inference(trivial_inequality_removal,[],[f255])).
% 0.13/0.33 thf(f255,plain,(
% 0.13/0.33 ((cDOUBLE @ sK0 @ sK1) != $true) | ($true != $true) | ~spl5_3),
% 0.13/0.33 inference(superposition,[],[f22,f124])).
% 0.13/0.33 thf(f124,plain,(
% 0.13/0.33 ( ! [X0 : $i,X1 : $i] : (((cHALF @ X1 @ X0) = $true) | ((cDOUBLE @ X0 @ X1) != $true)) ) | ~spl5_3),
% 0.13/0.33 inference(avatar_component_clause,[],[f123])).
% 0.13/0.33 thf(f123,plain,(
% 0.13/0.33 spl5_3 <=> ! [X0,X1] : (((cHALF @ X1 @ X0) = $true) | ((cDOUBLE @ X0 @ X1) != $true))),
% 0.13/0.33 introduced(avatar_definition,[new_symbols(naming,[spl5_3])])).
% 0.13/0.33 thf(f22,plain,(
% 0.13/0.33 ((cHALF @ sK1 @ sK0) != $true)),
% 0.13/0.33 inference(cnf_transformation,[],[f13])).
% 0.13/0.33 thf(f251,plain,(
% 0.13/0.33 spl5_3 | spl5_4),
% 0.13/0.33 inference(avatar_split_clause,[],[f250,f126,f123])).
% 0.13/0.33 thf(f126,plain,(
% 0.13/0.33 spl5_4 <=> ((cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))) = $true)),
% 0.13/0.33 introduced(avatar_definition,[new_symbols(naming,[spl5_4])])).
% 0.13/0.33 thf(f250,plain,(
% 0.13/0.33 ( ! [X0 : $i,X1 : $i] : (((cHALF @ X1 @ X0) = $true) | ((cDOUBLE @ X0 @ X1) != $true)) ) | spl5_4),
% 0.13/0.33 inference(subsumption_resolution,[],[f249,f20])).
% 0.13/0.33 thf(f20,plain,(
% 0.13/0.33 ((cHALF @ c0 @ c0) = $true)),
% 0.13/0.33 inference(cnf_transformation,[],[f13])).
% 0.13/0.33 thf(f249,plain,(
% 0.13/0.33 ( ! [X0 : $i,X1 : $i] : (((cDOUBLE @ X0 @ X1) != $true) | ((cHALF @ X1 @ X0) = $true) | ((cHALF @ c0 @ c0) != $true)) ) | spl5_4),
% 0.13/0.33 inference(beta_eta_normalization,[],[f248])).
% 0.13/0.33 thf(f248,plain,(
% 0.13/0.33 ( ! [X0 : $i,X1 : $i] : (((cDOUBLE @ X0 @ X1) != $true) | ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0)) | (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X0 @ X1) = $true)) ) | spl5_4),
% 0.13/0.33 inference(trivial_inequality_removal,[],[f246])).
% 0.13/0.33 thf(f246,plain,(
% 0.13/0.33 ( ! [X0 : $i,X1 : $i] : ((((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X0 @ X1) = $true) | ((cDOUBLE @ X0 @ X1) != $true) | ($true != $true) | ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0))) ) | spl5_4),
% 0.13/0.33 inference(superposition,[],[f128,f14])).
% 0.13/0.33 thf(f14,plain,(
% 0.13/0.33 ( ! [X9 : $i > $i > $o,X4 : $i,X5 : $i] : (((X9 @ (sK4 @ X9) @ (sK3 @ X9)) = $true) | ((X9 @ X4 @ X5) = $true) | ((cDOUBLE @ X4 @ X5) != $true) | ((X9 @ c0 @ c0) != $true)) )),
% 0.13/0.33 inference(cnf_transformation,[],[f13])).
% 0.13/0.33 thf(f128,plain,(
% 0.13/0.33 ((cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))) != $true) | spl5_4),
% 0.13/0.33 inference(avatar_component_clause,[],[f126])).
% 0.13/0.33 thf(f129,plain,(
% 0.13/0.33 spl5_3 | ~spl5_4),
% 0.13/0.33 inference(avatar_split_clause,[],[f121,f126,f123])).
% 0.13/0.33 thf(f121,plain,(
% 0.13/0.33 ( ! [X0 : $i,X1 : $i] : (((cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))) != $true) | ((cHALF @ X1 @ X0) = $true) | ((cDOUBLE @ X0 @ X1) != $true)) )),
% 0.13/0.33 inference(subsumption_resolution,[],[f116,f20])).
% 0.13/0.33 thf(f116,plain,(
% 0.13/0.33 ( ! [X0 : $i,X1 : $i] : (((cDOUBLE @ X0 @ X1) != $true) | ((cHALF @ c0 @ c0) != $true) | ((cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))) != $true) | ((cHALF @ X1 @ X0) = $true)) )),
% 0.13/0.33 inference(beta_eta_normalization,[],[f115])).
% 0.13/0.33 thf(f115,plain,(
% 0.13/0.33 ( ! [X0 : $i,X1 : $i] : (($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0)) | ((cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1)))))) @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))))) != $true) | (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X0 @ X1) = $true) | ((cDOUBLE @ X0 @ X1) != $true)) )),
% 0.13/0.33 inference(trivial_inequality_removal,[],[f79])).
% 0.13/0.33 thf(f79,plain,(
% 0.13/0.33 ( ! [X0 : $i,X1 : $i] : (($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0)) | (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X0 @ X1) = $true) | ((cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1)))))) @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))))) != $true) | ((cDOUBLE @ X0 @ X1) != $true) | ($true != $true)) )),
% 0.13/0.33 inference(superposition,[],[f15,f21])).
% 0.13/0.33 thf(f21,plain,(
% 0.13/0.33 ( ! [X2 : $i,X3 : $i] : (((cHALF @ (cS @ (cS @ X3)) @ (cS @ X2)) = $true) | ((cHALF @ X3 @ X2) != $true)) )),
% 0.13/0.33 inference(cnf_transformation,[],[f13])).
% 0.13/0.33 thf(f15,plain,(
% 0.13/0.33 ( ! [X9 : $i > $i > $o,X4 : $i,X5 : $i] : (((X9 @ (cS @ (sK4 @ X9)) @ (cS @ (cS @ (sK3 @ X9)))) != $true) | ((cDOUBLE @ X4 @ X5) != $true) | ((X9 @ c0 @ c0) != $true) | ((X9 @ X4 @ X5) = $true)) )),
% 0.13/0.33 inference(cnf_transformation,[],[f13])).
% 0.13/0.33 % SZS output end Proof for theBenchmark
% 0.13/0.33 % (9915)------------------------------
% 0.13/0.33 % (9915)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.33 % (9915)Termination reason: Refutation
% 0.13/0.33
% 0.13/0.33 % (9915)Memory used [KB]: 6012
% 0.13/0.33 % (9915)Time elapsed: 0.030 s
% 0.13/0.33 % (9915)Instructions burned: 55 (million)
% 0.13/0.33 % (9915)------------------------------
% 0.13/0.33 % (9915)------------------------------
% 0.13/0.33 % (9911)Success in time 0.036 s
% 0.13/0.33 % Vampire---4.8 exiting
%------------------------------------------------------------------------------