TSTP Solution File: SYO384^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO384^5 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n027.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 09:04:14 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO384^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 09:40:22 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.14/0.36 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/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 % (16161)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.37 % (16161)Instruction limit reached!
% 0.14/0.37 % (16161)------------------------------
% 0.14/0.37 % (16161)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (16161)Termination reason: Unknown
% 0.14/0.37 % (16161)Termination phase: Preprocessing 3
% 0.14/0.37
% 0.14/0.37 % (16161)Memory used [KB]: 1023
% 0.14/0.37 % (16161)Time elapsed: 0.003 s
% 0.14/0.37 % (16161)Instructions burned: 3 (million)
% 0.14/0.37 % (16161)------------------------------
% 0.14/0.37 % (16161)------------------------------
% 0.14/0.37 % (16158)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 (2999ds/2Mi)
% 0.14/0.37 % (16159)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 (2999ds/275Mi)
% 0.14/0.38 % (16158)Instruction limit reached!
% 0.14/0.38 % (16158)------------------------------
% 0.14/0.38 % (16158)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (16158)Termination reason: Unknown
% 0.14/0.38 % (16158)Termination phase: Property scanning
% 0.14/0.38
% 0.14/0.38 % (16158)Memory used [KB]: 1023
% 0.14/0.38 % (16158)Time elapsed: 0.003 s
% 0.14/0.38 % (16158)Instructions burned: 3 (million)
% 0.14/0.38 % (16158)------------------------------
% 0.14/0.38 % (16158)------------------------------
% 0.14/0.38 % (16155)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 (2999ds/4Mi)
% 0.14/0.38 % (16155)Instruction limit reached!
% 0.14/0.38 % (16155)------------------------------
% 0.14/0.38 % (16155)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (16155)Termination reason: Unknown
% 0.14/0.38 % (16155)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (16155)Memory used [KB]: 5500
% 0.14/0.38 % (16155)Time elapsed: 0.004 s
% 0.14/0.38 % (16155)Instructions burned: 4 (million)
% 0.14/0.38 % (16155)------------------------------
% 0.14/0.38 % (16155)------------------------------
% 0.14/0.38 % (16160)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.39 % (16162)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)
% 0.14/0.39 % (16156)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 (2999ds/27Mi)
% 0.14/0.39 % (16154)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.39 % (16159)First to succeed.
% 0.14/0.39 % (16163)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)
% 0.14/0.39 % (16160)Instruction limit reached!
% 0.14/0.39 % (16160)------------------------------
% 0.14/0.39 % (16160)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (16160)Termination reason: Unknown
% 0.14/0.39 % (16160)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (16160)Memory used [KB]: 5628
% 0.14/0.39 % (16160)Time elapsed: 0.011 s
% 0.14/0.39 % (16160)Instructions burned: 18 (million)
% 0.14/0.39 % (16160)------------------------------
% 0.14/0.39 % (16160)------------------------------
% 0.14/0.39 % (16159)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% 0.14/0.39 thf(func_def_0, type, cD: $i > $i > $i > $o).
% 0.14/0.39 thf(func_def_1, type, cF: $i > $i > $o).
% 0.14/0.39 thf(func_def_2, type, cS: $i > $i > $o).
% 0.14/0.39 thf(func_def_6, type, sK0: $i > $i).
% 0.14/0.39 thf(func_def_7, type, sK1: $i > $i).
% 0.14/0.39 thf(func_def_9, type, sK3: $i > $i).
% 0.14/0.39 thf(func_def_10, type, sK4: $i > $i).
% 0.14/0.39 thf(func_def_11, type, sK5: $i > $i > $i).
% 0.14/0.39 thf(func_def_13, type, sK7: $i > $i).
% 0.14/0.39 thf(func_def_14, type, sK8: $i > $i).
% 0.14/0.39 thf(func_def_15, type, sK9: $i > $i).
% 0.14/0.39 thf(func_def_16, type, sK10: $i > $i).
% 0.14/0.39 thf(func_def_19, type, sK13: $i > $i).
% 0.14/0.39 thf(func_def_20, type, sK14: $i > $i).
% 0.14/0.39 thf(func_def_21, type, sK15: $i > $i > $i).
% 0.14/0.39 thf(func_def_22, type, sK16: $i > $i > $i).
% 0.14/0.39 thf(f110,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(avatar_sat_refutation,[],[f51,f55,f59,f66,f67,f68,f69,f70,f73,f80,f95,f109])).
% 0.14/0.39 thf(f109,plain,(
% 0.14/0.39 ~spl17_2 | ~spl17_5 | ~spl17_6 | ~spl17_7),
% 0.14/0.39 inference(avatar_contradiction_clause,[],[f108])).
% 0.14/0.39 thf(f108,plain,(
% 0.14/0.39 $false | (~spl17_2 | ~spl17_5 | ~spl17_6 | ~spl17_7)),
% 0.14/0.39 inference(subsumption_resolution,[],[f107,f62])).
% 0.14/0.39 thf(f62,plain,(
% 0.14/0.39 ( ! [X18 : $i] : (($true = (cF @ (sK7 @ X18) @ (sK9 @ X18)))) ) | ~spl17_7),
% 0.14/0.39 inference(avatar_component_clause,[],[f61])).
% 0.14/0.39 thf(f61,plain,(
% 0.14/0.39 spl17_7 <=> ! [X18] : ($true = (cF @ (sK7 @ X18) @ (sK9 @ X18)))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl17_7])])).
% 0.14/0.39 thf(f107,plain,(
% 0.14/0.39 ($true != (cF @ (sK7 @ (sK1 @ sK6)) @ (sK9 @ (sK1 @ sK6)))) | (~spl17_2 | ~spl17_5 | ~spl17_6)),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f106])).
% 0.14/0.39 thf(f106,plain,(
% 0.14/0.39 ($true != (cF @ (sK7 @ (sK1 @ sK6)) @ (sK9 @ (sK1 @ sK6)))) | ($true != $true) | (~spl17_2 | ~spl17_5 | ~spl17_6)),
% 0.14/0.39 inference(superposition,[],[f105,f44])).
% 0.14/0.39 thf(f44,plain,(
% 0.14/0.39 ( ! [X18 : $i] : (((cF @ (sK8 @ X18) @ (sK10 @ X18)) = $true)) ) | ~spl17_2),
% 0.14/0.39 inference(avatar_component_clause,[],[f43])).
% 0.14/0.39 thf(f43,plain,(
% 0.14/0.39 spl17_2 <=> ! [X18] : ((cF @ (sK8 @ X18) @ (sK10 @ X18)) = $true)),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl17_2])])).
% 0.14/0.39 thf(f105,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (((cF @ (sK8 @ (sK1 @ sK6)) @ (sK10 @ X0)) != $true) | ((cF @ (sK7 @ (sK1 @ sK6)) @ (sK9 @ X0)) != $true)) ) | (~spl17_5 | ~spl17_6)),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f102])).
% 0.14/0.39 thf(f102,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (((cF @ (sK8 @ (sK1 @ sK6)) @ (sK10 @ X0)) != $true) | ((cF @ (sK7 @ (sK1 @ sK6)) @ (sK9 @ X0)) != $true) | ($true != $true)) ) | (~spl17_5 | ~spl17_6)),
% 0.14/0.39 inference(superposition,[],[f58,f97])).
% 0.14/0.39 thf(f97,plain,(
% 0.14/0.39 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((cD @ X1 @ X2 @ X0) = $true) | ((cF @ (sK8 @ (sK1 @ X0)) @ X2) != $true) | ((cF @ (sK7 @ (sK1 @ X0)) @ X1) != $true)) ) | ~spl17_5),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f96])).
% 0.14/0.39 thf(f96,plain,(
% 0.14/0.39 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | ((cD @ X1 @ X2 @ X0) = $true) | ((cF @ (sK7 @ (sK1 @ X0)) @ X1) != $true) | ((cF @ (sK8 @ (sK1 @ X0)) @ X2) != $true)) ) | ~spl17_5),
% 0.14/0.39 inference(superposition,[],[f37,f54])).
% 0.14/0.39 thf(f54,plain,(
% 0.14/0.39 ( ! [X18 : $i] : (((cD @ (sK7 @ X18) @ (sK8 @ X18) @ X18) = $true)) ) | ~spl17_5),
% 0.14/0.39 inference(avatar_component_clause,[],[f53])).
% 0.14/0.39 thf(f53,plain,(
% 0.14/0.39 spl17_5 <=> ! [X18] : ((cD @ (sK7 @ X18) @ (sK8 @ X18) @ X18) = $true)),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl17_5])])).
% 0.14/0.39 thf(f37,plain,(
% 0.14/0.39 ( ! [X2 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((cD @ X4 @ X5 @ (sK1 @ X2)) != $true) | ((cD @ X6 @ X7 @ X2) = $true) | ((cF @ X4 @ X6) != $true) | ((cF @ X5 @ X7) != $true)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f24])).
% 0.14/0.39 thf(f24,plain,(
% 0.14/0.39 ! [X0] : ((cF @ X0 @ (sK0 @ X0)) = $true) & ! [X2] : ! [X4,X5] : (((cD @ X4 @ X5 @ (sK1 @ X2)) != $true) | ! [X6,X7] : (((cD @ X6 @ X7 @ X2) = $true) | ((cF @ X4 @ X6) != $true) | ((cF @ X5 @ X7) != $true))) & (! [X9] : ! [X11] : (! [X12] : (((cF @ X11 @ X12) != $true) | ((cD @ X12 @ sK2 @ X9) = $true)) | ((cS @ (sK3 @ X9) @ X11) != $true)) | ! [X13] : ! [X15] : (((cS @ X15 @ (sK5 @ X15 @ X13)) = $true) & ((cD @ (sK5 @ X15 @ X13) @ X13 @ (sK4 @ X13)) != $true)) | ! [X18] : ((($true = (cF @ (sK7 @ X18) @ (sK9 @ X18))) & ((cD @ (sK9 @ X18) @ (sK10 @ X18) @ sK6) != $true) & ((cF @ (sK8 @ X18) @ (sK10 @ X18)) = $true)) & ((cD @ (sK7 @ X18) @ (sK8 @ X18) @ X18) = $true)) | ! [X24] : ((cF @ sK11 @ X24) != $true)) & ! [X26] : ! [X28] : (((cS @ (sK13 @ X26) @ X28) != $true) | ((cD @ X28 @ sK12 @ X26) = $true)) & ! [X29] : ! [X31] : ((((cF @ (sK15 @ X31 @ X29) @ (sK16 @ X31 @ X29)) = $true) & ($true != (cD @ (sK16 @ X31 @ X29) @ X29 @ (sK14 @ X29)))) & ((cS @ X31 @ (sK15 @ X31 @ X29)) = $true))),
% 0.14/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16])],[f8,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9])).
% 0.14/0.39 thf(f9,plain,(
% 0.14/0.39 ! [X0] : (? [X1] : ((cF @ X0 @ X1) = $true) => ((cF @ X0 @ (sK0 @ X0)) = $true))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f10,plain,(
% 0.14/0.39 ! [X2] : (? [X3] : ! [X4,X5] : (($true != (cD @ X4 @ X5 @ X3)) | ! [X6,X7] : (((cD @ X6 @ X7 @ X2) = $true) | ((cF @ X4 @ X6) != $true) | ((cF @ X5 @ X7) != $true))) => ! [X5,X4] : (((cD @ X4 @ X5 @ (sK1 @ X2)) != $true) | ! [X6,X7] : (((cD @ X6 @ X7 @ X2) = $true) | ((cF @ X4 @ X6) != $true) | ((cF @ X5 @ X7) != $true))))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f11,plain,(
% 0.14/0.39 ? [X8] : ! [X9] : ? [X10] : ! [X11] : (! [X12] : (((cF @ X11 @ X12) != $true) | ((cD @ X12 @ X8 @ X9) = $true)) | ((cS @ X10 @ X11) != $true)) => ! [X9] : ? [X10] : ! [X11] : (! [X12] : (((cF @ X11 @ X12) != $true) | ((cD @ X12 @ sK2 @ X9) = $true)) | ((cS @ X10 @ X11) != $true))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f12,plain,(
% 0.14/0.39 ! [X9] : (? [X10] : ! [X11] : (! [X12] : (((cF @ X11 @ X12) != $true) | ((cD @ X12 @ sK2 @ X9) = $true)) | ((cS @ X10 @ X11) != $true)) => ! [X11] : (! [X12] : (((cF @ X11 @ X12) != $true) | ((cD @ X12 @ sK2 @ X9) = $true)) | ((cS @ (sK3 @ X9) @ X11) != $true)))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f13,plain,(
% 0.14/0.39 ! [X13] : (? [X14] : ! [X15] : ? [X16] : (((cS @ X15 @ X16) = $true) & ((cD @ X16 @ X13 @ X14) != $true)) => ! [X15] : ? [X16] : (((cS @ X15 @ X16) = $true) & ((cD @ X16 @ X13 @ (sK4 @ X13)) != $true)))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f14,plain,(
% 0.14/0.39 ! [X13,X15] : (? [X16] : (((cS @ X15 @ X16) = $true) & ((cD @ X16 @ X13 @ (sK4 @ X13)) != $true)) => (((cS @ X15 @ (sK5 @ X15 @ X13)) = $true) & ((cD @ (sK5 @ X15 @ X13) @ X13 @ (sK4 @ X13)) != $true)))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f15,plain,(
% 0.14/0.39 ? [X17] : ! [X18] : ? [X19,X20] : (? [X21,X22] : (((cF @ X19 @ X21) = $true) & ((cD @ X21 @ X22 @ X17) != $true) & ((cF @ X20 @ X22) = $true)) & ((cD @ X19 @ X20 @ X18) = $true)) => ! [X18] : ? [X20,X19] : (? [X22,X21] : (((cF @ X19 @ X21) = $true) & ((cD @ X21 @ X22 @ sK6) != $true) & ((cF @ X20 @ X22) = $true)) & ((cD @ X19 @ X20 @ X18) = $true))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f16,plain,(
% 0.14/0.39 ! [X18] : (? [X20,X19] : (? [X22,X21] : (((cF @ X19 @ X21) = $true) & ((cD @ X21 @ X22 @ sK6) != $true) & ((cF @ X20 @ X22) = $true)) & ((cD @ X19 @ X20 @ X18) = $true)) => (? [X22,X21] : (((cF @ (sK7 @ X18) @ X21) = $true) & ((cD @ X21 @ X22 @ sK6) != $true) & ((cF @ (sK8 @ X18) @ X22) = $true)) & ((cD @ (sK7 @ X18) @ (sK8 @ X18) @ X18) = $true)))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f17,plain,(
% 0.14/0.39 ! [X18] : (? [X22,X21] : (((cF @ (sK7 @ X18) @ X21) = $true) & ((cD @ X21 @ X22 @ sK6) != $true) & ((cF @ (sK8 @ X18) @ X22) = $true)) => (($true = (cF @ (sK7 @ X18) @ (sK9 @ X18))) & ((cD @ (sK9 @ X18) @ (sK10 @ X18) @ sK6) != $true) & ((cF @ (sK8 @ X18) @ (sK10 @ X18)) = $true)))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f18,plain,(
% 0.14/0.39 ? [X23] : ! [X24] : ($true != (cF @ X23 @ X24)) => ! [X24] : ((cF @ sK11 @ X24) != $true)),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f19,plain,(
% 0.14/0.39 ? [X25] : ! [X26] : ? [X27] : ! [X28] : (($true != (cS @ X27 @ X28)) | ((cD @ X28 @ X25 @ X26) = $true)) => ! [X26] : ? [X27] : ! [X28] : (($true != (cS @ X27 @ X28)) | ((cD @ X28 @ sK12 @ X26) = $true))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f20,plain,(
% 0.14/0.39 ! [X26] : (? [X27] : ! [X28] : (($true != (cS @ X27 @ X28)) | ((cD @ X28 @ sK12 @ X26) = $true)) => ! [X28] : (((cS @ (sK13 @ X26) @ X28) != $true) | ((cD @ X28 @ sK12 @ X26) = $true)))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f21,plain,(
% 0.14/0.39 ! [X29] : (? [X30] : ! [X31] : ? [X32] : (? [X33] : (((cF @ X32 @ X33) = $true) & ((cD @ X33 @ X29 @ X30) != $true)) & ((cS @ X31 @ X32) = $true)) => ! [X31] : ? [X32] : (? [X33] : (((cF @ X32 @ X33) = $true) & ((cD @ X33 @ X29 @ (sK14 @ X29)) != $true)) & ((cS @ X31 @ X32) = $true)))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f22,plain,(
% 0.14/0.39 ! [X29,X31] : (? [X32] : (? [X33] : (((cF @ X32 @ X33) = $true) & ((cD @ X33 @ X29 @ (sK14 @ X29)) != $true)) & ((cS @ X31 @ X32) = $true)) => (? [X33] : (((cF @ (sK15 @ X31 @ X29) @ X33) = $true) & ((cD @ X33 @ X29 @ (sK14 @ X29)) != $true)) & ((cS @ X31 @ (sK15 @ X31 @ X29)) = $true)))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f23,plain,(
% 0.14/0.39 ! [X29,X31] : (? [X33] : (((cF @ (sK15 @ X31 @ X29) @ X33) = $true) & ((cD @ X33 @ X29 @ (sK14 @ X29)) != $true)) => (((cF @ (sK15 @ X31 @ X29) @ (sK16 @ X31 @ X29)) = $true) & ($true != (cD @ (sK16 @ X31 @ X29) @ X29 @ (sK14 @ X29)))))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f8,plain,(
% 0.14/0.39 ! [X0] : ? [X1] : ((cF @ X0 @ X1) = $true) & ! [X2] : ? [X3] : ! [X4,X5] : (($true != (cD @ X4 @ X5 @ X3)) | ! [X6,X7] : (((cD @ X6 @ X7 @ X2) = $true) | ((cF @ X4 @ X6) != $true) | ((cF @ X5 @ X7) != $true))) & (? [X8] : ! [X9] : ? [X10] : ! [X11] : (! [X12] : (((cF @ X11 @ X12) != $true) | ((cD @ X12 @ X8 @ X9) = $true)) | ((cS @ X10 @ X11) != $true)) | ! [X13] : ? [X14] : ! [X15] : ? [X16] : (((cS @ X15 @ X16) = $true) & ((cD @ X16 @ X13 @ X14) != $true)) | ? [X17] : ! [X18] : ? [X19,X20] : (? [X21,X22] : (((cF @ X19 @ X21) = $true) & ((cD @ X21 @ X22 @ X17) != $true) & ((cF @ X20 @ X22) = $true)) & ((cD @ X19 @ X20 @ X18) = $true)) | ? [X23] : ! [X24] : ($true != (cF @ X23 @ X24))) & ? [X25] : ! [X26] : ? [X27] : ! [X28] : (($true != (cS @ X27 @ X28)) | ((cD @ X28 @ X25 @ X26) = $true)) & ! [X29] : ? [X30] : ! [X31] : ? [X32] : (? [X33] : (((cF @ X32 @ X33) = $true) & ((cD @ X33 @ X29 @ X30) != $true)) & ((cS @ X31 @ X32) = $true))),
% 0.14/0.39 inference(rectify,[],[f7])).
% 0.14/0.39 thf(f7,plain,(
% 0.14/0.39 ! [X17] : ? [X18] : ($true = (cF @ X17 @ X18)) & ! [X23] : ? [X24] : ! [X26,X25] : (((cD @ X26 @ X25 @ X24) != $true) | ! [X27,X28] : (((cD @ X27 @ X28 @ X23) = $true) | ((cF @ X26 @ X27) != $true) | ((cF @ X25 @ X28) != $true))) & (? [X12] : ! [X13] : ? [X14] : ! [X15] : (! [X16] : (((cF @ X15 @ X16) != $true) | ((cD @ X16 @ X12 @ X13) = $true)) | ($true != (cS @ X14 @ X15))) | ! [X0] : ? [X1] : ! [X2] : ? [X3] : (($true = (cS @ X2 @ X3)) & ((cD @ X3 @ X0 @ X1) != $true)) | ? [X4] : ! [X5] : ? [X7,X6] : (? [X8,X9] : (((cF @ X7 @ X8) = $true) & ((cD @ X8 @ X9 @ X4) != $true) & ((cF @ X6 @ X9) = $true)) & ((cD @ X7 @ X6 @ X5) = $true)) | ? [X10] : ! [X11] : ((cF @ X10 @ X11) != $true)) & ? [X19] : ! [X20] : ? [X21] : ! [X22] : (((cS @ X21 @ X22) != $true) | ((cD @ X22 @ X19 @ X20) = $true)) & ! [X29] : ? [X30] : ! [X31] : ? [X32] : (? [X33] : (((cF @ X32 @ X33) = $true) & ((cD @ X33 @ X29 @ X30) != $true)) & ((cS @ X31 @ X32) = $true))),
% 0.14/0.39 inference(flattening,[],[f6])).
% 0.14/0.39 thf(f6,plain,(
% 0.14/0.39 (! [X29] : ? [X30] : ! [X31] : ? [X32] : (? [X33] : (((cF @ X32 @ X33) = $true) & ((cD @ X33 @ X29 @ X30) != $true)) & ((cS @ X31 @ X32) = $true)) & (! [X23] : ? [X24] : ! [X25,X26] : (! [X28,X27] : (((cD @ X27 @ X28 @ X23) = $true) | (((cF @ X25 @ X28) != $true) | ((cF @ X26 @ X27) != $true))) | ((cD @ X26 @ X25 @ X24) != $true)) & ? [X19] : ! [X20] : ? [X21] : ! [X22] : (((cS @ X21 @ X22) != $true) | ((cD @ X22 @ X19 @ X20) = $true)) & ! [X17] : ? [X18] : ($true = (cF @ X17 @ X18)))) & (? [X12] : ! [X13] : ? [X14] : ! [X15] : (! [X16] : (((cF @ X15 @ X16) != $true) | ((cD @ X16 @ X12 @ X13) = $true)) | ($true != (cS @ X14 @ X15))) | (? [X10] : ! [X11] : ((cF @ X10 @ X11) != $true) | ? [X4] : ! [X5] : ? [X6,X7] : (? [X9,X8] : (((cD @ X8 @ X9 @ X4) != $true) & (((cF @ X6 @ X9) = $true) & ((cF @ X7 @ X8) = $true))) & ((cD @ X7 @ X6 @ X5) = $true)) | ! [X0] : ? [X1] : ! [X2] : ? [X3] : (($true = (cS @ X2 @ X3)) & ((cD @ X3 @ X0 @ X1) != $true))))),
% 0.14/0.39 inference(ennf_transformation,[],[f5])).
% 0.14/0.39 thf(f5,plain,(
% 0.14/0.39 ~(((! [X10] : ? [X11] : ((cF @ X10 @ X11) = $true) & ! [X4] : ? [X5] : ! [X6,X7] : (((cD @ X7 @ X6 @ X5) = $true) => ! [X9,X8] : ((((cF @ X6 @ X9) = $true) & ((cF @ X7 @ X8) = $true)) => ((cD @ X8 @ X9 @ X4) = $true))) & ? [X0] : ! [X1] : ? [X2] : ! [X3] : (($true = (cS @ X2 @ X3)) => ((cD @ X3 @ X0 @ X1) = $true))) => ? [X12] : ! [X13] : ? [X14] : ! [X15] : (($true = (cS @ X14 @ X15)) => ! [X16] : (((cF @ X15 @ X16) = $true) => ((cD @ X16 @ X12 @ X13) = $true)))) => ((! [X23] : ? [X24] : ! [X25,X26] : (((cD @ X26 @ X25 @ X24) = $true) => ! [X28,X27] : ((((cF @ X25 @ X28) = $true) & ((cF @ X26 @ X27) = $true)) => ((cD @ X27 @ X28 @ X23) = $true))) & ? [X19] : ! [X20] : ? [X21] : ! [X22] : (((cS @ X21 @ X22) = $true) => ((cD @ X22 @ X19 @ X20) = $true)) & ! [X17] : ? [X18] : ($true = (cF @ X17 @ X18))) => ? [X29] : ! [X30] : ? [X31] : ! [X32] : (((cS @ X31 @ X32) = $true) => ! [X33] : (((cF @ X32 @ X33) = $true) => ((cD @ X33 @ X29 @ X30) = $true)))))),
% 0.14/0.39 inference(fool_elimination,[],[f4])).
% 0.14/0.39 thf(f4,plain,(
% 0.14/0.39 ~(((? [X0] : ! [X1] : ? [X2] : ! [X3] : ((cS @ X2 @ X3) => (cD @ X3 @ X0 @ X1)) & ! [X4] : ? [X5] : ! [X6,X7] : ((cD @ X7 @ X6 @ X5) => ! [X8,X9] : (((cF @ X7 @ X8) & (cF @ X6 @ X9)) => (cD @ X8 @ X9 @ X4))) & ! [X10] : ? [X11] : (cF @ X10 @ X11)) => ? [X12] : ! [X13] : ? [X14] : ! [X15] : ((cS @ X14 @ X15) => ! [X16] : ((cF @ X15 @ X16) => (cD @ X16 @ X12 @ X13)))) => ((! [X17] : ? [X18] : (cF @ X17 @ X18) & ? [X19] : ! [X20] : ? [X21] : ! [X22] : ((cS @ X21 @ X22) => (cD @ X22 @ X19 @ X20)) & ! [X23] : ? [X24] : ! [X25,X26] : ((cD @ X26 @ X25 @ X24) => ! [X27,X28] : (((cF @ X25 @ X28) & (cF @ X26 @ X27)) => (cD @ X27 @ X28 @ X23)))) => ? [X29] : ! [X30] : ? [X31] : ! [X32] : ((cS @ X31 @ X32) => ! [X33] : ((cF @ X32 @ X33) => (cD @ X33 @ X29 @ X30)))))),
% 0.14/0.39 inference(rectify,[],[f2])).
% 0.14/0.39 thf(f2,negated_conjecture,(
% 0.14/0.39 ~(((? [X0] : ! [X2] : ? [X3] : ! [X4] : ((cS @ X3 @ X4) => (cD @ X4 @ X0 @ X2)) & ! [X2] : ? [X5] : ! [X7,X6] : ((cD @ X6 @ X7 @ X5) => ! [X1,X8] : (((cF @ X6 @ X1) & (cF @ X7 @ X8)) => (cD @ X1 @ X8 @ X2))) & ! [X0] : ? [X1] : (cF @ X0 @ X1)) => ? [X1] : ! [X2] : ? [X9] : ! [X4] : ((cS @ X9 @ X4) => ! [X8] : ((cF @ X4 @ X8) => (cD @ X8 @ X1 @ X2)))) => ((! [X0] : ? [X1] : (cF @ X0 @ X1) & ? [X0] : ! [X2] : ? [X3] : ! [X4] : ((cS @ X3 @ X4) => (cD @ X4 @ X0 @ X2)) & ! [X2] : ? [X5] : ! [X7,X6] : ((cD @ X6 @ X7 @ X5) => ! [X1,X8] : (((cF @ X7 @ X8) & (cF @ X6 @ X1)) => (cD @ X1 @ X8 @ X2)))) => ? [X1] : ! [X2] : ? [X9] : ! [X4] : ((cS @ X9 @ X4) => ! [X8] : ((cF @ X4 @ X8) => (cD @ X8 @ X1 @ X2)))))),
% 0.14/0.39 inference(negated_conjecture,[],[f1])).
% 0.14/0.39 thf(f1,conjecture,(
% 0.14/0.39 ((? [X0] : ! [X2] : ? [X3] : ! [X4] : ((cS @ X3 @ X4) => (cD @ X4 @ X0 @ X2)) & ! [X2] : ? [X5] : ! [X7,X6] : ((cD @ X6 @ X7 @ X5) => ! [X1,X8] : (((cF @ X6 @ X1) & (cF @ X7 @ X8)) => (cD @ X1 @ X8 @ X2))) & ! [X0] : ? [X1] : (cF @ X0 @ X1)) => ? [X1] : ! [X2] : ? [X9] : ! [X4] : ((cS @ X9 @ X4) => ! [X8] : ((cF @ X4 @ X8) => (cD @ X8 @ X1 @ X2)))) => ((! [X0] : ? [X1] : (cF @ X0 @ X1) & ? [X0] : ! [X2] : ? [X3] : ! [X4] : ((cS @ X3 @ X4) => (cD @ X4 @ X0 @ X2)) & ! [X2] : ? [X5] : ! [X7,X6] : ((cD @ X6 @ X7 @ X5) => ! [X1,X8] : (((cF @ X7 @ X8) & (cF @ X6 @ X1)) => (cD @ X1 @ X8 @ X2)))) => ? [X1] : ! [X2] : ? [X9] : ! [X4] : ((cS @ X9 @ X4) => ! [X8] : ((cF @ X4 @ X8) => (cD @ X8 @ X1 @ X2))))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM408)).
% 0.14/0.39 thf(f58,plain,(
% 0.14/0.39 ( ! [X18 : $i] : (((cD @ (sK9 @ X18) @ (sK10 @ X18) @ sK6) != $true)) ) | ~spl17_6),
% 0.14/0.39 inference(avatar_component_clause,[],[f57])).
% 0.14/0.39 thf(f57,plain,(
% 0.14/0.39 spl17_6 <=> ! [X18] : ((cD @ (sK9 @ X18) @ (sK10 @ X18) @ sK6) != $true)),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl17_6])])).
% 0.14/0.39 thf(f95,plain,(
% 0.14/0.39 ~spl17_1),
% 0.14/0.39 inference(avatar_contradiction_clause,[],[f94])).
% 0.14/0.39 thf(f94,plain,(
% 0.14/0.39 $false | ~spl17_1),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f93])).
% 0.14/0.39 thf(f93,plain,(
% 0.14/0.39 ($true != $true) | ~spl17_1),
% 0.14/0.39 inference(superposition,[],[f88,f25])).
% 0.14/0.39 thf(f25,plain,(
% 0.14/0.39 ( ! [X31 : $i,X29 : $i] : (((cS @ X31 @ (sK15 @ X31 @ X29)) = $true)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f24])).
% 0.14/0.39 thf(f88,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (((cS @ (sK3 @ (sK14 @ sK2)) @ (sK15 @ X0 @ sK2)) != $true)) ) | ~spl17_1),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f87])).
% 0.14/0.39 thf(f87,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (((cS @ (sK3 @ (sK14 @ sK2)) @ (sK15 @ X0 @ sK2)) != $true) | ($true != $true)) ) | ~spl17_1),
% 0.14/0.39 inference(superposition,[],[f82,f27])).
% 0.14/0.39 thf(f27,plain,(
% 0.14/0.39 ( ! [X31 : $i,X29 : $i] : (((cF @ (sK15 @ X31 @ X29) @ (sK16 @ X31 @ X29)) = $true)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f24])).
% 0.14/0.39 thf(f82,plain,(
% 0.14/0.39 ( ! [X0 : $i,X1 : $i] : (((cF @ X1 @ (sK16 @ X0 @ sK2)) != $true) | ($true != (cS @ (sK3 @ (sK14 @ sK2)) @ X1))) ) | ~spl17_1),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f81])).
% 0.14/0.39 thf(f81,plain,(
% 0.14/0.39 ( ! [X0 : $i,X1 : $i] : (((cF @ X1 @ (sK16 @ X0 @ sK2)) != $true) | ($true != $true) | ($true != (cS @ (sK3 @ (sK14 @ sK2)) @ X1))) ) | ~spl17_1),
% 0.14/0.39 inference(superposition,[],[f26,f41])).
% 0.14/0.39 thf(f41,plain,(
% 0.14/0.39 ( ! [X11 : $i,X9 : $i,X12 : $i] : (((cD @ X12 @ sK2 @ X9) = $true) | ((cF @ X11 @ X12) != $true) | ((cS @ (sK3 @ X9) @ X11) != $true)) ) | ~spl17_1),
% 0.14/0.39 inference(avatar_component_clause,[],[f40])).
% 0.14/0.39 thf(f40,plain,(
% 0.14/0.39 spl17_1 <=> ! [X11,X9,X12] : (((cF @ X11 @ X12) != $true) | ((cS @ (sK3 @ X9) @ X11) != $true) | ((cD @ X12 @ sK2 @ X9) = $true))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl17_1])])).
% 0.14/0.39 thf(f26,plain,(
% 0.14/0.39 ( ! [X31 : $i,X29 : $i] : (($true != (cD @ (sK16 @ X31 @ X29) @ X29 @ (sK14 @ X29)))) )),
% 0.14/0.39 inference(cnf_transformation,[],[f24])).
% 0.14/0.39 thf(f80,plain,(
% 0.14/0.39 ~spl17_4 | ~spl17_8),
% 0.14/0.39 inference(avatar_contradiction_clause,[],[f79])).
% 0.14/0.39 thf(f79,plain,(
% 0.14/0.39 $false | (~spl17_4 | ~spl17_8)),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f78])).
% 0.14/0.39 thf(f78,plain,(
% 0.14/0.39 ($true != $true) | (~spl17_4 | ~spl17_8)),
% 0.14/0.39 inference(superposition,[],[f76,f65])).
% 0.14/0.39 thf(f65,plain,(
% 0.14/0.39 ( ! [X15 : $i,X13 : $i] : (((cS @ X15 @ (sK5 @ X15 @ X13)) = $true)) ) | ~spl17_8),
% 0.14/0.39 inference(avatar_component_clause,[],[f64])).
% 0.14/0.39 thf(f64,plain,(
% 0.14/0.39 spl17_8 <=> ! [X13,X15] : ((cS @ X15 @ (sK5 @ X15 @ X13)) = $true)),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl17_8])])).
% 0.14/0.39 thf(f76,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (((cS @ (sK13 @ (sK4 @ sK12)) @ (sK5 @ X0 @ sK12)) != $true)) ) | ~spl17_4),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f75])).
% 0.14/0.39 thf(f75,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (((cS @ (sK13 @ (sK4 @ sK12)) @ (sK5 @ X0 @ sK12)) != $true) | ($true != $true)) ) | ~spl17_4),
% 0.14/0.39 inference(superposition,[],[f50,f28])).
% 0.14/0.39 thf(f28,plain,(
% 0.14/0.39 ( ! [X28 : $i,X26 : $i] : (((cD @ X28 @ sK12 @ X26) = $true) | ((cS @ (sK13 @ X26) @ X28) != $true)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f24])).
% 0.14/0.39 thf(f50,plain,(
% 0.14/0.39 ( ! [X15 : $i,X13 : $i] : (((cD @ (sK5 @ X15 @ X13) @ X13 @ (sK4 @ X13)) != $true)) ) | ~spl17_4),
% 0.14/0.39 inference(avatar_component_clause,[],[f49])).
% 0.14/0.39 thf(f49,plain,(
% 0.14/0.39 spl17_4 <=> ! [X13,X15] : ((cD @ (sK5 @ X15 @ X13) @ X13 @ (sK4 @ X13)) != $true)),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl17_4])])).
% 0.14/0.39 thf(f73,plain,(
% 0.14/0.39 ~spl17_3),
% 0.14/0.39 inference(avatar_contradiction_clause,[],[f72])).
% 0.14/0.39 thf(f72,plain,(
% 0.14/0.39 $false | ~spl17_3),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f71])).
% 0.14/0.39 thf(f71,plain,(
% 0.14/0.39 ($true != $true) | ~spl17_3),
% 0.14/0.39 inference(superposition,[],[f47,f38])).
% 0.14/0.39 thf(f38,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (((cF @ X0 @ (sK0 @ X0)) = $true)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f24])).
% 0.14/0.39 thf(f47,plain,(
% 0.14/0.39 ( ! [X24 : $i] : (((cF @ sK11 @ X24) != $true)) ) | ~spl17_3),
% 0.14/0.39 inference(avatar_component_clause,[],[f46])).
% 0.14/0.39 thf(f46,plain,(
% 0.14/0.39 spl17_3 <=> ! [X24] : ((cF @ sK11 @ X24) != $true)),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl17_3])])).
% 0.14/0.39 thf(f70,plain,(
% 0.14/0.39 spl17_3 | spl17_4 | spl17_7 | spl17_1),
% 0.14/0.39 inference(avatar_split_clause,[],[f32,f40,f61,f49,f46])).
% 0.14/0.39 thf(f32,plain,(
% 0.14/0.39 ( ! [X11 : $i,X18 : $i,X9 : $i,X24 : $i,X15 : $i,X12 : $i,X13 : $i] : (((cS @ (sK3 @ X9) @ X11) != $true) | ((cD @ X12 @ sK2 @ X9) = $true) | ((cF @ sK11 @ X24) != $true) | ((cF @ X11 @ X12) != $true) | ($true = (cF @ (sK7 @ X18) @ (sK9 @ X18))) | ((cD @ (sK5 @ X15 @ X13) @ X13 @ (sK4 @ X13)) != $true)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f24])).
% 0.14/0.39 thf(f69,plain,(
% 0.14/0.39 spl17_3 | spl17_8 | spl17_1 | spl17_5),
% 0.14/0.39 inference(avatar_split_clause,[],[f33,f53,f40,f64,f46])).
% 0.14/0.39 thf(f33,plain,(
% 0.14/0.39 ( ! [X11 : $i,X18 : $i,X9 : $i,X15 : $i,X24 : $i,X12 : $i,X13 : $i] : (((cS @ (sK3 @ X9) @ X11) != $true) | ((cD @ X12 @ sK2 @ X9) = $true) | ((cF @ X11 @ X12) != $true) | ((cS @ X15 @ (sK5 @ X15 @ X13)) = $true) | ((cD @ (sK7 @ X18) @ (sK8 @ X18) @ X18) = $true) | ((cF @ sK11 @ X24) != $true)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f24])).
% 0.14/0.39 thf(f68,plain,(
% 0.14/0.39 spl17_1 | spl17_6 | spl17_3 | spl17_8),
% 0.14/0.39 inference(avatar_split_clause,[],[f35,f64,f46,f57,f40])).
% 0.14/0.39 thf(f35,plain,(
% 0.14/0.39 ( ! [X11 : $i,X18 : $i,X9 : $i,X15 : $i,X24 : $i,X12 : $i,X13 : $i] : (((cD @ X12 @ sK2 @ X9) = $true) | ((cD @ (sK9 @ X18) @ (sK10 @ X18) @ sK6) != $true) | ((cS @ X15 @ (sK5 @ X15 @ X13)) = $true) | ((cF @ sK11 @ X24) != $true) | ((cF @ X11 @ X12) != $true) | ((cS @ (sK3 @ X9) @ X11) != $true)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f24])).
% 0.14/0.39 thf(f67,plain,(
% 0.14/0.39 spl17_1 | spl17_8 | spl17_3 | spl17_2),
% 0.14/0.39 inference(avatar_split_clause,[],[f34,f43,f46,f64,f40])).
% 0.14/0.39 thf(f34,plain,(
% 0.14/0.39 ( ! [X11 : $i,X18 : $i,X9 : $i,X24 : $i,X15 : $i,X12 : $i,X13 : $i] : (((cS @ (sK3 @ X9) @ X11) != $true) | ((cF @ sK11 @ X24) != $true) | ((cD @ X12 @ sK2 @ X9) = $true) | ((cS @ X15 @ (sK5 @ X15 @ X13)) = $true) | ((cF @ X11 @ X12) != $true) | ((cF @ (sK8 @ X18) @ (sK10 @ X18)) = $true)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f24])).
% 0.14/0.39 thf(f66,plain,(
% 0.14/0.39 spl17_7 | spl17_3 | spl17_1 | spl17_8),
% 0.14/0.39 inference(avatar_split_clause,[],[f36,f64,f40,f46,f61])).
% 0.14/0.39 thf(f36,plain,(
% 0.14/0.39 ( ! [X11 : $i,X18 : $i,X9 : $i,X15 : $i,X24 : $i,X12 : $i,X13 : $i] : (((cF @ X11 @ X12) != $true) | ($true = (cF @ (sK7 @ X18) @ (sK9 @ X18))) | ((cS @ (sK3 @ X9) @ X11) != $true) | ((cS @ X15 @ (sK5 @ X15 @ X13)) = $true) | ((cF @ sK11 @ X24) != $true) | ((cD @ X12 @ sK2 @ X9) = $true)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f24])).
% 0.14/0.39 thf(f59,plain,(
% 0.14/0.39 spl17_1 | spl17_6 | spl17_3 | spl17_4),
% 0.14/0.39 inference(avatar_split_clause,[],[f31,f49,f46,f57,f40])).
% 0.14/0.39 thf(f31,plain,(
% 0.14/0.39 ( ! [X11 : $i,X18 : $i,X9 : $i,X24 : $i,X15 : $i,X12 : $i,X13 : $i] : (((cS @ (sK3 @ X9) @ X11) != $true) | ((cF @ X11 @ X12) != $true) | ((cF @ sK11 @ X24) != $true) | ((cD @ X12 @ sK2 @ X9) = $true) | ((cD @ (sK9 @ X18) @ (sK10 @ X18) @ sK6) != $true) | ((cD @ (sK5 @ X15 @ X13) @ X13 @ (sK4 @ X13)) != $true)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f24])).
% 0.14/0.39 thf(f55,plain,(
% 0.14/0.39 spl17_5 | spl17_4 | spl17_1 | spl17_3),
% 0.14/0.39 inference(avatar_split_clause,[],[f29,f46,f40,f49,f53])).
% 0.14/0.39 thf(f29,plain,(
% 0.14/0.39 ( ! [X11 : $i,X18 : $i,X9 : $i,X24 : $i,X15 : $i,X12 : $i,X13 : $i] : (((cF @ X11 @ X12) != $true) | ((cF @ sK11 @ X24) != $true) | ((cD @ (sK7 @ X18) @ (sK8 @ X18) @ X18) = $true) | ((cD @ X12 @ sK2 @ X9) = $true) | ((cS @ (sK3 @ X9) @ X11) != $true) | ((cD @ (sK5 @ X15 @ X13) @ X13 @ (sK4 @ X13)) != $true)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f24])).
% 0.14/0.39 thf(f51,plain,(
% 0.14/0.39 spl17_1 | spl17_2 | spl17_3 | spl17_4),
% 0.14/0.39 inference(avatar_split_clause,[],[f30,f49,f46,f43,f40])).
% 0.14/0.39 thf(f30,plain,(
% 0.14/0.39 ( ! [X11 : $i,X18 : $i,X9 : $i,X24 : $i,X15 : $i,X12 : $i,X13 : $i] : (((cF @ X11 @ X12) != $true) | ((cD @ X12 @ sK2 @ X9) = $true) | ((cS @ (sK3 @ X9) @ X11) != $true) | ((cF @ sK11 @ X24) != $true) | ((cD @ (sK5 @ X15 @ X13) @ X13 @ (sK4 @ X13)) != $true) | ((cF @ (sK8 @ X18) @ (sK10 @ X18)) = $true)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f24])).
% 0.14/0.39 % SZS output end Proof for theBenchmark
% 0.14/0.39 % (16159)------------------------------
% 0.14/0.39 % (16159)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (16159)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (16159)Memory used [KB]: 5756
% 0.14/0.39 % (16159)Time elapsed: 0.019 s
% 0.14/0.39 % (16159)Instructions burned: 19 (million)
% 0.14/0.39 % (16159)------------------------------
% 0.14/0.39 % (16159)------------------------------
% 0.14/0.39 % (16153)Success in time 0.031 s
% 0.14/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------