TSTP Solution File: SEV107^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV107^5 : TPTP v8.1.2. 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 : n019.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 : Sun May 5 09:41:22 EDT 2024
% Result : Theorem 0.22s 0.40s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEV107^5 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.15 % 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
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.22/0.36 % CPULimit : 300
% 0.22/0.36 % WCLimit : 300
% 0.22/0.36 % DateTime : Fri May 3 11:52:59 EDT 2024
% 0.22/0.36 % CPUTime :
% 0.22/0.36 This is a TH0_THM_NEQ_NAR problem
% 0.22/0.36 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/tmp/tmp.I7ZMy0pHT3/Vampire---4.8_30502
% 0.22/0.38 % (30772)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.38 % (30770)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.22/0.38 % (30768)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.22/0.38 % (30765)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.22/0.38 % (30766)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 Vampire---4 for (2999ds/4Mi)
% 0.22/0.38 % (30767)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 Vampire---4 for (2999ds/27Mi)
% 0.22/0.38 % (30769)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.22/0.38 % (30771)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.38 % (30768)Instruction limit reached!
% 0.22/0.38 % (30768)------------------------------
% 0.22/0.38 % (30768)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (30769)Instruction limit reached!
% 0.22/0.38 % (30769)------------------------------
% 0.22/0.38 % (30769)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (30768)Termination reason: Unknown
% 0.22/0.38 % (30768)Termination phase: Preprocessing 3
% 0.22/0.38
% 0.22/0.38 % (30768)Memory used [KB]: 1023
% 0.22/0.38 % (30768)Time elapsed: 0.003 s
% 0.22/0.38 % (30768)Instructions burned: 3 (million)
% 0.22/0.38 % (30768)------------------------------
% 0.22/0.38 % (30768)------------------------------
% 0.22/0.38 % (30769)Termination reason: Unknown
% 0.22/0.38 % (30769)Termination phase: Preprocessing 3
% 0.22/0.38
% 0.22/0.38 % (30769)Memory used [KB]: 1023
% 0.22/0.38 % (30769)Time elapsed: 0.004 s
% 0.22/0.38 % (30769)Instructions burned: 3 (million)
% 0.22/0.38 % (30769)------------------------------
% 0.22/0.38 % (30769)------------------------------
% 0.22/0.38 % (30772)Instruction limit reached!
% 0.22/0.38 % (30772)------------------------------
% 0.22/0.38 % (30772)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (30772)Termination reason: Unknown
% 0.22/0.38 % (30772)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (30772)Memory used [KB]: 1023
% 0.22/0.38 % (30772)Time elapsed: 0.004 s
% 0.22/0.38 % (30772)Instructions burned: 3 (million)
% 0.22/0.38 % (30772)------------------------------
% 0.22/0.38 % (30772)------------------------------
% 0.22/0.39 % (30766)Instruction limit reached!
% 0.22/0.39 % (30766)------------------------------
% 0.22/0.39 % (30766)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (30766)Termination reason: Unknown
% 0.22/0.39 % (30766)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (30766)Memory used [KB]: 5500
% 0.22/0.39 % (30766)Time elapsed: 0.005 s
% 0.22/0.39 % (30766)Instructions burned: 4 (million)
% 0.22/0.39 % (30766)------------------------------
% 0.22/0.39 % (30766)------------------------------
% 0.22/0.39 % (30765)First to succeed.
% 0.22/0.40 % (30767)Also succeeded, but the first one will report.
% 0.22/0.40 % (30771)Instruction limit reached!
% 0.22/0.40 % (30771)------------------------------
% 0.22/0.40 % (30771)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (30771)Termination reason: Unknown
% 0.22/0.40 % (30771)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (30771)Memory used [KB]: 5628
% 0.22/0.40 % (30771)Time elapsed: 0.016 s
% 0.22/0.40 % (30771)Instructions burned: 19 (million)
% 0.22/0.40 % (30771)------------------------------
% 0.22/0.40 % (30771)------------------------------
% 0.22/0.40 % (30765)Refutation found. Thanks to Tanya!
% 0.22/0.40 % SZS status Theorem for Vampire---4
% 0.22/0.40 % SZS output start Proof for Vampire---4
% 0.22/0.40 thf(type_def_5, type, a: $tType).
% 0.22/0.40 thf(func_def_0, type, a: $tType).
% 0.22/0.40 thf(func_def_1, type, z: a).
% 0.22/0.40 thf(func_def_2, type, cR: a > a > $o).
% 0.22/0.40 thf(func_def_3, type, f: a > $i > $o).
% 0.22/0.40 thf(func_def_4, type, cS: $i > $i > $o).
% 0.22/0.40 thf(func_def_9, type, sK1: a).
% 0.22/0.40 thf(func_def_11, type, sK3: a).
% 0.22/0.40 thf(func_def_12, type, sK4: a).
% 0.22/0.40 thf(func_def_13, type, sK5: $i > a).
% 0.22/0.40 thf(func_def_15, type, sK7: a > a).
% 0.22/0.40 thf(func_def_16, type, sK8: a > $i).
% 0.22/0.40 thf(f133,plain,(
% 0.22/0.40 $false),
% 0.22/0.40 inference(avatar_sat_refutation,[],[f63,f68,f76,f77,f81,f82,f87,f106,f107,f114,f124,f131,f132])).
% 0.22/0.40 thf(f132,plain,(
% 0.22/0.40 ~spl9_7 | spl9_8 | ~spl9_12),
% 0.22/0.40 inference(avatar_split_clause,[],[f127,f84,f65,f60])).
% 0.22/0.40 thf(f60,plain,(
% 0.22/0.40 spl9_7 <=> ($true = (cR @ sK1 @ z))),
% 0.22/0.40 introduced(avatar_definition,[new_symbols(naming,[spl9_7])])).
% 0.22/0.40 thf(f65,plain,(
% 0.22/0.40 spl9_8 <=> ((cR @ sK1 @ sK3) = $true)),
% 0.22/0.40 introduced(avatar_definition,[new_symbols(naming,[spl9_8])])).
% 0.22/0.40 thf(f84,plain,(
% 0.22/0.40 spl9_12 <=> ($true = (cR @ sK3 @ z))),
% 0.22/0.40 introduced(avatar_definition,[new_symbols(naming,[spl9_12])])).
% 0.22/0.40 thf(f127,plain,(
% 0.22/0.40 ($true != (cR @ sK1 @ z)) | (spl9_8 | ~spl9_12)),
% 0.22/0.40 inference(trivial_inequality_removal,[],[f126])).
% 0.22/0.40 thf(f126,plain,(
% 0.22/0.40 ($true != $true) | ($true != (cR @ sK1 @ z)) | (spl9_8 | ~spl9_12)),
% 0.22/0.40 inference(superposition,[],[f89,f86])).
% 0.22/0.40 thf(f86,plain,(
% 0.22/0.40 ($true = (cR @ sK3 @ z)) | ~spl9_12),
% 0.22/0.40 inference(avatar_component_clause,[],[f84])).
% 0.22/0.40 thf(f89,plain,(
% 0.22/0.40 ( ! [X0 : a] : (($true != (cR @ sK3 @ X0)) | ((cR @ sK1 @ X0) != $true)) ) | spl9_8),
% 0.22/0.40 inference(trivial_inequality_removal,[],[f88])).
% 0.22/0.40 thf(f88,plain,(
% 0.22/0.40 ( ! [X0 : a] : (($true != $true) | ($true != (cR @ sK3 @ X0)) | ((cR @ sK1 @ X0) != $true)) ) | spl9_8),
% 0.22/0.40 inference(superposition,[],[f67,f28])).
% 0.22/0.40 thf(f28,plain,(
% 0.22/0.40 ( ! [X16 : a,X14 : a,X15 : a] : (($true = (cR @ X16 @ X14)) | ($true != (cR @ X16 @ X15)) | ($true != (cR @ X14 @ X15))) )),
% 0.22/0.40 inference(cnf_transformation,[],[f21])).
% 0.22/0.40 thf(f21,plain,(
% 0.22/0.40 (! [X1] : (($true != (f @ sK4 @ X1)) & (((f @ (sK5 @ X1) @ X1) = $true) | ((cR @ sK4 @ z) != $true))) | (sP0 = $true) | ! [X4 : a] : (((f @ X4 @ sK6) != $true) & (($true = (f @ (sK7 @ X4) @ sK6)) | ($true != (cR @ X4 @ z))))) & ! [X6 : a] : ($true = (f @ X6 @ (sK8 @ X6))) & ! [X8,X9 : a,X10 : a] : (($true != (f @ X10 @ X8)) | ($true = (cR @ X9 @ X10)) | ((f @ X9 @ X8) != $true)) & ! [X11,X12,X13 : a] : (((f @ X13 @ X11) != $true) | ($true = (cS @ X12 @ X11)) | ((f @ X13 @ X12) != $true)) & ! [X14 : a,X15 : a,X16 : a] : (($true != (cR @ X14 @ X15)) | ($true != (cR @ X16 @ X15)) | ($true = (cR @ X16 @ X14))) & ! [X17 : a] : ($true = (cR @ X17 @ X17))),
% 0.22/0.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8])],[f15,f20,f19,f18,f17,f16])).
% 0.22/0.40 thf(f16,plain,(
% 0.22/0.40 ? [X0 : a] : ! [X1] : ? [X2 : a] : (($true != (f @ X0 @ X1)) & (((f @ X2 @ X1) = $true) | ((cR @ X0 @ z) != $true))) => ! [X1] : ? [X2 : a] : (($true != (f @ sK4 @ X1)) & (((f @ X2 @ X1) = $true) | ((cR @ sK4 @ z) != $true)))),
% 0.22/0.40 introduced(choice_axiom,[])).
% 0.22/0.40 thf(f17,plain,(
% 0.22/0.40 ! [X1] : (? [X2 : a] : (($true != (f @ sK4 @ X1)) & (((f @ X2 @ X1) = $true) | ((cR @ sK4 @ z) != $true))) => (($true != (f @ sK4 @ X1)) & (((f @ (sK5 @ X1) @ X1) = $true) | ((cR @ sK4 @ z) != $true))))),
% 0.22/0.40 introduced(choice_axiom,[])).
% 0.22/0.40 thf(f18,plain,(
% 0.22/0.40 ? [X3] : ! [X4 : a] : ? [X5 : a] : (((f @ X4 @ X3) != $true) & (($true = (f @ X5 @ X3)) | ($true != (cR @ X4 @ z)))) => ! [X4 : a] : ? [X5 : a] : (((f @ X4 @ sK6) != $true) & (((f @ X5 @ sK6) = $true) | ($true != (cR @ X4 @ z))))),
% 0.22/0.40 introduced(choice_axiom,[])).
% 0.22/0.40 thf(f19,plain,(
% 0.22/0.40 ! [X4 : a] : (? [X5 : a] : (((f @ X4 @ sK6) != $true) & (((f @ X5 @ sK6) = $true) | ($true != (cR @ X4 @ z)))) => (((f @ X4 @ sK6) != $true) & (($true = (f @ (sK7 @ X4) @ sK6)) | ($true != (cR @ X4 @ z)))))),
% 0.22/0.40 introduced(choice_axiom,[])).
% 0.22/0.40 thf(f20,plain,(
% 0.22/0.40 ! [X6 : a] : (? [X7] : ((f @ X6 @ X7) = $true) => ($true = (f @ X6 @ (sK8 @ X6))))),
% 0.22/0.40 introduced(choice_axiom,[])).
% 0.22/0.40 thf(f15,plain,(
% 0.22/0.40 (? [X0 : a] : ! [X1] : ? [X2 : a] : (($true != (f @ X0 @ X1)) & (((f @ X2 @ X1) = $true) | ((cR @ X0 @ z) != $true))) | (sP0 = $true) | ? [X3] : ! [X4 : a] : ? [X5 : a] : (((f @ X4 @ X3) != $true) & (($true = (f @ X5 @ X3)) | ($true != (cR @ X4 @ z))))) & ! [X6 : a] : ? [X7] : ((f @ X6 @ X7) = $true) & ! [X8,X9 : a,X10 : a] : (($true != (f @ X10 @ X8)) | ($true = (cR @ X9 @ X10)) | ((f @ X9 @ X8) != $true)) & ! [X11,X12,X13 : a] : (((f @ X13 @ X11) != $true) | ($true = (cS @ X12 @ X11)) | ((f @ X13 @ X12) != $true)) & ! [X14 : a,X15 : a,X16 : a] : (($true != (cR @ X14 @ X15)) | ($true != (cR @ X16 @ X15)) | ($true = (cR @ X16 @ X14))) & ! [X17 : a] : ($true = (cR @ X17 @ X17))),
% 0.22/0.40 inference(rectify,[],[f10])).
% 0.22/0.40 thf(f10,plain,(
% 0.22/0.40 (? [X12 : a] : ! [X13] : ? [X14 : a] : (((f @ X12 @ X13) != $true) & (((f @ X14 @ X13) = $true) | ($true != (cR @ X12 @ z)))) | (sP0 = $true) | ? [X20] : ! [X21 : a] : ? [X22 : a] : (($true != (f @ X21 @ X20)) & (((f @ X22 @ X20) = $true) | ((cR @ X21 @ z) != $true)))) & ! [X4 : a] : ? [X5] : ($true = (f @ X4 @ X5)) & ! [X11,X10 : a,X9 : a] : (($true != (f @ X9 @ X11)) | ($true = (cR @ X10 @ X9)) | ($true != (f @ X10 @ X11))) & ! [X7,X8,X6 : a] : (((f @ X6 @ X7) != $true) | ($true = (cS @ X8 @ X7)) | ($true != (f @ X6 @ X8))) & ! [X3 : a,X1 : a,X2 : a] : (($true != (cR @ X3 @ X1)) | ((cR @ X2 @ X1) != $true) | ((cR @ X2 @ X3) = $true)) & ! [X0 : a] : ($true = (cR @ X0 @ X0))),
% 0.22/0.40 inference(definition_folding,[],[f8,f9])).
% 0.22/0.40 thf(f9,plain,(
% 0.22/0.40 ? [X17 : a,X15,X16 : a] : (! [X18 : a] : (($true = (f @ X16 @ X15)) | (((f @ X18 @ X15) != $true) & ($true = (cR @ X16 @ z)))) & ! [X19 : a] : ((($true = (cR @ X17 @ z)) & ((f @ X19 @ X15) != $true)) | ((f @ X17 @ X15) = $true)) & ($true != (cR @ X17 @ X16))) | ~(sP0 = $true)),
% 0.22/0.40 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 0.22/0.40 thf(f8,plain,(
% 0.22/0.40 (? [X12 : a] : ! [X13] : ? [X14 : a] : (((f @ X12 @ X13) != $true) & (((f @ X14 @ X13) = $true) | ($true != (cR @ X12 @ z)))) | ? [X17 : a,X15,X16 : a] : (! [X18 : a] : (($true = (f @ X16 @ X15)) | (((f @ X18 @ X15) != $true) & ($true = (cR @ X16 @ z)))) & ! [X19 : a] : ((($true = (cR @ X17 @ z)) & ((f @ X19 @ X15) != $true)) | ((f @ X17 @ X15) = $true)) & ($true != (cR @ X17 @ X16))) | ? [X20] : ! [X21 : a] : ? [X22 : a] : (($true != (f @ X21 @ X20)) & (((f @ X22 @ X20) = $true) | ((cR @ X21 @ z) != $true)))) & ! [X4 : a] : ? [X5] : ($true = (f @ X4 @ X5)) & ! [X11,X10 : a,X9 : a] : (($true != (f @ X9 @ X11)) | ($true = (cR @ X10 @ X9)) | ($true != (f @ X10 @ X11))) & ! [X7,X8,X6 : a] : (((f @ X6 @ X7) != $true) | ($true = (cS @ X8 @ X7)) | ($true != (f @ X6 @ X8))) & ! [X3 : a,X1 : a,X2 : a] : (($true != (cR @ X3 @ X1)) | ((cR @ X2 @ X1) != $true) | ((cR @ X2 @ X3) = $true)) & ! [X0 : a] : ($true = (cR @ X0 @ X0))),
% 0.22/0.40 inference(flattening,[],[f7])).
% 0.22/0.40 thf(f7,plain,(
% 0.22/0.40 ((? [X20] : ! [X21 : a] : ? [X22 : a] : (($true != (f @ X21 @ X20)) & (((f @ X22 @ X20) = $true) | ((cR @ X21 @ z) != $true))) | ? [X12 : a] : ! [X13] : ? [X14 : a] : (((f @ X12 @ X13) != $true) & (((f @ X14 @ X13) = $true) | ($true != (cR @ X12 @ z)))) | ? [X17 : a,X16 : a,X15] : (($true != (cR @ X17 @ X16)) & (! [X18 : a] : (($true = (f @ X16 @ X15)) | (((f @ X18 @ X15) != $true) & ($true = (cR @ X16 @ z)))) & ! [X19 : a] : ((($true = (cR @ X17 @ z)) & ((f @ X19 @ X15) != $true)) | ((f @ X17 @ X15) = $true))))) & (! [X8,X6 : a,X7] : (($true = (cS @ X8 @ X7)) | (((f @ X6 @ X7) != $true) | ($true != (f @ X6 @ X8)))) & ! [X11,X9 : a,X10 : a] : (($true = (cR @ X10 @ X9)) | (($true != (f @ X9 @ X11)) | ($true != (f @ X10 @ X11)))) & ! [X4 : a] : ? [X5] : ($true = (f @ X4 @ X5)))) & (! [X0 : a] : ($true = (cR @ X0 @ X0)) & ! [X1 : a,X3 : a,X2 : a] : (((cR @ X2 @ X3) = $true) | (((cR @ X2 @ X1) != $true) | ($true != (cR @ X3 @ X1)))))),
% 0.22/0.40 inference(ennf_transformation,[],[f6])).
% 0.22/0.40 thf(f6,plain,(
% 0.22/0.40 ~((! [X0 : a] : ($true = (cR @ X0 @ X0)) & ! [X1 : a,X3 : a,X2 : a] : ((((cR @ X2 @ X1) = $true) & ($true = (cR @ X3 @ X1))) => ((cR @ X2 @ X3) = $true))) => ((! [X8,X6 : a,X7] : ((((f @ X6 @ X7) = $true) & ($true = (f @ X6 @ X8))) => ($true = (cS @ X8 @ X7))) & ! [X11,X9 : a,X10 : a] : ((($true = (f @ X9 @ X11)) & ($true = (f @ X10 @ X11))) => ($true = (cR @ X10 @ X9))) & ! [X4 : a] : ? [X5] : ($true = (f @ X4 @ X5))) => (! [X20] : ? [X21 : a] : ! [X22 : a] : ((((f @ X22 @ X20) != $true) & ((cR @ X21 @ z) = $true)) | ($true = (f @ X21 @ X20))) & ! [X12 : a] : ? [X13] : ! [X14 : a] : ((($true = (cR @ X12 @ z)) & ((f @ X14 @ X13) != $true)) | ((f @ X12 @ X13) = $true)) & ! [X17 : a,X16 : a,X15] : ((! [X18 : a] : (($true = (f @ X16 @ X15)) | (((f @ X18 @ X15) != $true) & ($true = (cR @ X16 @ z)))) & ! [X19 : a] : ((($true = (cR @ X17 @ z)) & ((f @ X19 @ X15) != $true)) | ((f @ X17 @ X15) = $true))) => ($true = (cR @ X17 @ X16))))))),
% 0.22/0.40 inference(flattening,[],[f5])).
% 0.22/0.40 thf(f5,plain,(
% 0.22/0.40 ~((! [X0 : a] : ($true = (cR @ X0 @ X0)) & ! [X1 : a,X3 : a,X2 : a] : ((((cR @ X2 @ X1) = $true) & ($true = (cR @ X3 @ X1))) => ((cR @ X2 @ X3) = $true))) => ((! [X8,X6 : a,X7] : ((((f @ X6 @ X7) = $true) & ($true = (f @ X6 @ X8))) => ($true = (cS @ X8 @ X7))) & ! [X11,X9 : a,X10 : a] : ((($true = (f @ X9 @ X11)) & ($true = (f @ X10 @ X11))) => ($true = (cR @ X10 @ X9))) & ! [X4 : a] : ? [X5] : ($true = (f @ X4 @ X5))) => (! [X12 : a] : ? [X13] : ! [X14 : a] : (((f @ X12 @ X13) = $true) | (~((f @ X14 @ X13) = $true) & ($true = (cR @ X12 @ z)))) & ! [X15,X16 : a,X17 : a] : ((! [X18 : a] : ((($true = (cR @ X16 @ z)) & ~((f @ X18 @ X15) = $true)) | ($true = (f @ X16 @ X15))) & ! [X19 : a] : (((f @ X17 @ X15) = $true) | (~((f @ X19 @ X15) = $true) & ($true = (cR @ X17 @ z))))) => ($true = (cR @ X17 @ X16))) & ! [X20] : ? [X21 : a] : ! [X22 : a] : (($true = (f @ X21 @ X20)) | (~((f @ X22 @ X20) = $true) & ((cR @ X21 @ z) = $true))))))),
% 0.22/0.40 inference(fool_elimination,[],[f4])).
% 0.22/0.40 thf(f4,plain,(
% 0.22/0.40 ~((! [X0 : a] : (cR @ X0 @ X0) & ! [X1 : a,X2 : a,X3 : a] : (((cR @ X3 @ X1) & (cR @ X2 @ X1)) => (cR @ X2 @ X3))) => ((! [X4 : a] : ? [X5] : (f @ X4 @ X5) & ! [X6 : a,X7,X8] : (((f @ X6 @ X7) & (f @ X6 @ X8)) => (cS @ X8 @ X7)) & ! [X9 : a,X10 : a,X11] : (((f @ X9 @ X11) & (f @ X10 @ X11)) => (cR @ X10 @ X9))) => (! [X12 : a] : ? [X13] : ! [X14 : a] : ((f @ X12 @ X13) | (~(f @ X14 @ X13) & (cR @ X12 @ z))) & ! [X15,X16 : a,X17 : a] : ((! [X18 : a] : (((cR @ X16 @ z) & ~(f @ X18 @ X15)) | (f @ X16 @ X15)) & ! [X19 : a] : ((f @ X17 @ X15) | (~(f @ X19 @ X15) & (cR @ X17 @ z)))) => (cR @ X17 @ X16)) & ! [X20] : ? [X21 : a] : ! [X22 : a] : ((f @ X21 @ X20) | (~(f @ X22 @ X20) & (cR @ X21 @ z))))))),
% 0.22/0.40 inference(rectify,[],[f2])).
% 0.22/0.40 thf(f2,negated_conjecture,(
% 0.22/0.40 ~((! [X3 : a] : (cR @ X3 @ X3) & ! [X1 : a,X0 : a,X2 : a] : (((cR @ X2 @ X1) & (cR @ X0 @ X1)) => (cR @ X0 @ X2))) => ((! [X3 : a] : ? [X4] : (f @ X3 @ X4) & ! [X3 : a,X6,X5] : (((f @ X3 @ X6) & (f @ X3 @ X5)) => (cS @ X5 @ X6)) & ! [X8 : a,X7 : a,X4] : (((f @ X8 @ X4) & (f @ X7 @ X4)) => (cR @ X7 @ X8))) => (! [X3 : a] : ? [X4] : ! [X2 : a] : ((f @ X3 @ X4) | (~(f @ X2 @ X4) & (cR @ X3 @ z))) & ! [X4,X8 : a,X7 : a] : ((! [X2 : a] : (((cR @ X8 @ z) & ~(f @ X2 @ X4)) | (f @ X8 @ X4)) & ! [X2 : a] : ((f @ X7 @ X4) | (~(f @ X2 @ X4) & (cR @ X7 @ z)))) => (cR @ X7 @ X8)) & ! [X4] : ? [X3 : a] : ! [X2 : a] : ((f @ X3 @ X4) | (~(f @ X2 @ X4) & (cR @ X3 @ z))))))),
% 0.22/0.40 inference(negated_conjecture,[],[f1])).
% 0.22/0.40 thf(f1,conjecture,(
% 0.22/0.40 (! [X3 : a] : (cR @ X3 @ X3) & ! [X1 : a,X0 : a,X2 : a] : (((cR @ X2 @ X1) & (cR @ X0 @ X1)) => (cR @ X0 @ X2))) => ((! [X3 : a] : ? [X4] : (f @ X3 @ X4) & ! [X3 : a,X6,X5] : (((f @ X3 @ X6) & (f @ X3 @ X5)) => (cS @ X5 @ X6)) & ! [X8 : a,X7 : a,X4] : (((f @ X8 @ X4) & (f @ X7 @ X4)) => (cR @ X7 @ X8))) => (! [X3 : a] : ? [X4] : ! [X2 : a] : ((f @ X3 @ X4) | (~(f @ X2 @ X4) & (cR @ X3 @ z))) & ! [X4,X8 : a,X7 : a] : ((! [X2 : a] : (((cR @ X8 @ z) & ~(f @ X2 @ X4)) | (f @ X8 @ X4)) & ! [X2 : a] : ((f @ X7 @ X4) | (~(f @ X2 @ X4) & (cR @ X7 @ z)))) => (cR @ X7 @ X8)) & ! [X4] : ? [X3 : a] : ! [X2 : a] : ((f @ X3 @ X4) | (~(f @ X2 @ X4) & (cR @ X3 @ z)))))),
% 0.22/0.40 file('/export/starexec/sandbox/tmp/tmp.I7ZMy0pHT3/Vampire---4.8_30502',cTHM552B_pme)).
% 0.22/0.40 thf(f67,plain,(
% 0.22/0.40 ((cR @ sK1 @ sK3) != $true) | spl9_8),
% 0.22/0.40 inference(avatar_component_clause,[],[f65])).
% 0.22/0.40 thf(f131,plain,(
% 0.22/0.40 ~spl9_6 | ~spl9_10),
% 0.22/0.40 inference(avatar_contradiction_clause,[],[f130])).
% 0.22/0.40 thf(f130,plain,(
% 0.22/0.40 $false | (~spl9_6 | ~spl9_10)),
% 0.22/0.40 inference(subsumption_resolution,[],[f58,f75])).
% 0.22/0.40 thf(f75,plain,(
% 0.22/0.40 ( ! [X3 : a] : (((f @ X3 @ sK2) != $true)) ) | ~spl9_10),
% 0.22/0.40 inference(avatar_component_clause,[],[f74])).
% 0.22/0.40 thf(f74,plain,(
% 0.22/0.40 spl9_10 <=> ! [X3 : a] : ((f @ X3 @ sK2) != $true)),
% 0.22/0.40 introduced(avatar_definition,[new_symbols(naming,[spl9_10])])).
% 0.22/0.40 thf(f58,plain,(
% 0.22/0.40 ((f @ sK1 @ sK2) = $true) | ~spl9_6),
% 0.22/0.40 inference(avatar_component_clause,[],[f56])).
% 0.22/0.40 thf(f56,plain,(
% 0.22/0.40 spl9_6 <=> ((f @ sK1 @ sK2) = $true)),
% 0.22/0.40 introduced(avatar_definition,[new_symbols(naming,[spl9_6])])).
% 0.22/0.40 thf(f124,plain,(
% 0.22/0.40 ~spl9_1 | ~spl9_5),
% 0.22/0.40 inference(avatar_contradiction_clause,[],[f123])).
% 0.22/0.40 thf(f123,plain,(
% 0.22/0.40 $false | (~spl9_1 | ~spl9_5)),
% 0.22/0.40 inference(trivial_inequality_removal,[],[f116])).
% 0.22/0.40 thf(f116,plain,(
% 0.22/0.40 ($true != $true) | (~spl9_1 | ~spl9_5)),
% 0.22/0.40 inference(superposition,[],[f115,f27])).
% 0.22/0.40 thf(f27,plain,(
% 0.22/0.40 ( ! [X17 : a] : (($true = (cR @ X17 @ X17))) )),
% 0.22/0.40 inference(cnf_transformation,[],[f21])).
% 0.22/0.40 thf(f115,plain,(
% 0.22/0.40 ( ! [X4 : a] : (($true != (cR @ X4 @ z))) ) | (~spl9_1 | ~spl9_5)),
% 0.22/0.40 inference(subsumption_resolution,[],[f38,f53])).
% 0.22/0.40 thf(f53,plain,(
% 0.22/0.40 ( ! [X4 : a] : (((f @ X4 @ sK6) != $true)) ) | ~spl9_5),
% 0.22/0.40 inference(avatar_component_clause,[],[f52])).
% 0.22/0.40 thf(f52,plain,(
% 0.22/0.40 spl9_5 <=> ! [X4 : a] : ((f @ X4 @ sK6) != $true)),
% 0.22/0.40 introduced(avatar_definition,[new_symbols(naming,[spl9_5])])).
% 0.22/0.40 thf(f38,plain,(
% 0.22/0.40 ( ! [X4 : a] : (($true = (f @ (sK7 @ X4) @ sK6)) | ($true != (cR @ X4 @ z))) ) | ~spl9_1),
% 0.22/0.40 inference(avatar_component_clause,[],[f37])).
% 0.22/0.40 thf(f37,plain,(
% 0.22/0.40 spl9_1 <=> ! [X4 : a] : (($true != (cR @ X4 @ z)) | ($true = (f @ (sK7 @ X4) @ sK6)))),
% 0.22/0.40 introduced(avatar_definition,[new_symbols(naming,[spl9_1])])).
% 0.22/0.40 thf(f114,plain,(
% 0.22/0.40 ~spl9_11),
% 0.22/0.40 inference(avatar_contradiction_clause,[],[f113])).
% 0.22/0.40 thf(f113,plain,(
% 0.22/0.40 $false | ~spl9_11),
% 0.22/0.40 inference(trivial_inequality_removal,[],[f112])).
% 0.22/0.40 thf(f112,plain,(
% 0.22/0.40 ($true != $true) | ~spl9_11),
% 0.22/0.40 inference(superposition,[],[f80,f31])).
% 0.22/0.40 thf(f31,plain,(
% 0.22/0.40 ( ! [X6 : a] : (($true = (f @ X6 @ (sK8 @ X6)))) )),
% 0.22/0.40 inference(cnf_transformation,[],[f21])).
% 0.22/0.40 thf(f80,plain,(
% 0.22/0.40 ( ! [X1 : $i] : (($true != (f @ sK4 @ X1))) ) | ~spl9_11),
% 0.22/0.40 inference(avatar_component_clause,[],[f79])).
% 0.22/0.40 thf(f79,plain,(
% 0.22/0.40 spl9_11 <=> ! [X1] : ($true != (f @ sK4 @ X1))),
% 0.22/0.40 introduced(avatar_definition,[new_symbols(naming,[spl9_11])])).
% 0.22/0.40 thf(f107,plain,(
% 0.22/0.40 ~spl9_6 | spl9_8 | ~spl9_9),
% 0.22/0.40 inference(avatar_split_clause,[],[f101,f70,f65,f56])).
% 0.22/0.40 thf(f70,plain,(
% 0.22/0.40 spl9_9 <=> ($true = (f @ sK3 @ sK2))),
% 0.22/0.40 introduced(avatar_definition,[new_symbols(naming,[spl9_9])])).
% 0.22/0.40 thf(f101,plain,(
% 0.22/0.40 ((f @ sK1 @ sK2) != $true) | (spl9_8 | ~spl9_9)),
% 0.22/0.40 inference(trivial_inequality_removal,[],[f98])).
% 0.22/0.40 thf(f98,plain,(
% 0.22/0.40 ((f @ sK1 @ sK2) != $true) | ($true != $true) | (spl9_8 | ~spl9_9)),
% 0.22/0.40 inference(superposition,[],[f97,f72])).
% 0.22/0.40 thf(f72,plain,(
% 0.22/0.40 ($true = (f @ sK3 @ sK2)) | ~spl9_9),
% 0.22/0.40 inference(avatar_component_clause,[],[f70])).
% 0.22/0.40 thf(f97,plain,(
% 0.22/0.40 ( ! [X0 : $i] : (($true != (f @ sK3 @ X0)) | ((f @ sK1 @ X0) != $true)) ) | spl9_8),
% 0.22/0.40 inference(trivial_inequality_removal,[],[f94])).
% 0.22/0.40 thf(f94,plain,(
% 0.22/0.40 ( ! [X0 : $i] : (($true != $true) | ($true != (f @ sK3 @ X0)) | ((f @ sK1 @ X0) != $true)) ) | spl9_8),
% 0.22/0.40 inference(superposition,[],[f67,f30])).
% 0.22/0.40 thf(f30,plain,(
% 0.22/0.40 ( ! [X10 : a,X8 : $i,X9 : a] : (($true = (cR @ X9 @ X10)) | ((f @ X9 @ X8) != $true) | ($true != (f @ X10 @ X8))) )),
% 0.22/0.40 inference(cnf_transformation,[],[f21])).
% 0.22/0.40 thf(f106,plain,(
% 0.22/0.40 ~spl9_9 | ~spl9_10),
% 0.22/0.40 inference(avatar_contradiction_clause,[],[f105])).
% 0.22/0.40 thf(f105,plain,(
% 0.22/0.40 $false | (~spl9_9 | ~spl9_10)),
% 0.22/0.40 inference(trivial_inequality_removal,[],[f104])).
% 0.22/0.40 thf(f104,plain,(
% 0.22/0.40 ($true != $true) | (~spl9_9 | ~spl9_10)),
% 0.22/0.40 inference(superposition,[],[f75,f72])).
% 0.22/0.40 thf(f87,plain,(
% 0.22/0.40 spl9_9 | spl9_12 | ~spl9_3),
% 0.22/0.40 inference(avatar_split_clause,[],[f25,f44,f84,f70])).
% 0.22/0.40 thf(f44,plain,(
% 0.22/0.40 spl9_3 <=> (sP0 = $true)),
% 0.22/0.40 introduced(avatar_definition,[new_symbols(naming,[spl9_3])])).
% 0.22/0.40 thf(f25,plain,(
% 0.22/0.40 (sP0 != $true) | ($true = (cR @ sK3 @ z)) | ($true = (f @ sK3 @ sK2))),
% 0.22/0.40 inference(cnf_transformation,[],[f14])).
% 0.22/0.40 thf(f14,plain,(
% 0.22/0.40 (! [X3 : a] : (($true = (f @ sK3 @ sK2)) | (((f @ X3 @ sK2) != $true) & ($true = (cR @ sK3 @ z)))) & ! [X4 : a] : ((($true = (cR @ sK1 @ z)) & ($true != (f @ X4 @ sK2))) | ((f @ sK1 @ sK2) = $true)) & ((cR @ sK1 @ sK3) != $true)) | (sP0 != $true)),
% 0.22/0.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f12,f13])).
% 0.22/0.40 thf(f13,plain,(
% 0.22/0.40 ? [X0 : a,X1,X2 : a] : (! [X3 : a] : (((f @ X2 @ X1) = $true) | (((f @ X3 @ X1) != $true) & ($true = (cR @ X2 @ z)))) & ! [X4 : a] : ((((cR @ X0 @ z) = $true) & ((f @ X4 @ X1) != $true)) | ($true = (f @ X0 @ X1))) & ((cR @ X0 @ X2) != $true)) => (! [X3 : a] : (($true = (f @ sK3 @ sK2)) | (((f @ X3 @ sK2) != $true) & ($true = (cR @ sK3 @ z)))) & ! [X4 : a] : ((($true = (cR @ sK1 @ z)) & ($true != (f @ X4 @ sK2))) | ((f @ sK1 @ sK2) = $true)) & ((cR @ sK1 @ sK3) != $true))),
% 0.22/0.40 introduced(choice_axiom,[])).
% 0.22/0.40 thf(f12,plain,(
% 0.22/0.40 ? [X0 : a,X1,X2 : a] : (! [X3 : a] : (((f @ X2 @ X1) = $true) | (((f @ X3 @ X1) != $true) & ($true = (cR @ X2 @ z)))) & ! [X4 : a] : ((((cR @ X0 @ z) = $true) & ((f @ X4 @ X1) != $true)) | ($true = (f @ X0 @ X1))) & ((cR @ X0 @ X2) != $true)) | (sP0 != $true)),
% 0.22/0.40 inference(rectify,[],[f11])).
% 0.22/0.40 thf(f11,plain,(
% 0.22/0.40 ? [X17 : a,X15,X16 : a] : (! [X18 : a] : (($true = (f @ X16 @ X15)) | (((f @ X18 @ X15) != $true) & ($true = (cR @ X16 @ z)))) & ! [X19 : a] : ((($true = (cR @ X17 @ z)) & ((f @ X19 @ X15) != $true)) | ((f @ X17 @ X15) = $true)) & ($true != (cR @ X17 @ X16))) | (sP0 != $true)),
% 0.22/0.40 inference(nnf_transformation,[],[f9])).
% 0.22/0.40 thf(f82,plain,(
% 0.22/0.40 spl9_3 | spl9_1 | spl9_11),
% 0.22/0.40 inference(avatar_split_clause,[],[f34,f79,f37,f44])).
% 0.22/0.40 thf(f34,plain,(
% 0.22/0.40 ( ! [X1 : $i,X4 : a] : (($true != (cR @ X4 @ z)) | (sP0 = $true) | ($true != (f @ sK4 @ X1)) | ($true = (f @ (sK7 @ X4) @ sK6))) )),
% 0.22/0.40 inference(cnf_transformation,[],[f21])).
% 0.22/0.40 thf(f81,plain,(
% 0.22/0.40 spl9_5 | spl9_11 | spl9_3),
% 0.22/0.40 inference(avatar_split_clause,[],[f35,f44,f79,f52])).
% 0.22/0.40 thf(f35,plain,(
% 0.22/0.40 ( ! [X1 : $i,X4 : a] : (((f @ X4 @ sK6) != $true) | (sP0 = $true) | ($true != (f @ sK4 @ X1))) )),
% 0.22/0.40 inference(cnf_transformation,[],[f21])).
% 0.22/0.40 thf(f77,plain,(
% 0.22/0.40 spl9_6 | spl9_10 | ~spl9_3),
% 0.22/0.40 inference(avatar_split_clause,[],[f23,f44,f74,f56])).
% 0.22/0.40 thf(f23,plain,(
% 0.22/0.40 ( ! [X4 : a] : ((sP0 != $true) | ($true != (f @ X4 @ sK2)) | ((f @ sK1 @ sK2) = $true)) )),
% 0.22/0.40 inference(cnf_transformation,[],[f14])).
% 0.22/0.40 thf(f76,plain,(
% 0.22/0.40 spl9_9 | ~spl9_3 | spl9_10),
% 0.22/0.40 inference(avatar_split_clause,[],[f26,f74,f44,f70])).
% 0.22/0.40 thf(f26,plain,(
% 0.22/0.40 ( ! [X3 : a] : (((f @ X3 @ sK2) != $true) | ($true = (f @ sK3 @ sK2)) | (sP0 != $true)) )),
% 0.22/0.40 inference(cnf_transformation,[],[f14])).
% 0.22/0.40 thf(f68,plain,(
% 0.22/0.40 ~spl9_3 | ~spl9_8),
% 0.22/0.40 inference(avatar_split_clause,[],[f22,f65,f44])).
% 0.22/0.40 thf(f22,plain,(
% 0.22/0.40 ((cR @ sK1 @ sK3) != $true) | (sP0 != $true)),
% 0.22/0.40 inference(cnf_transformation,[],[f14])).
% 0.22/0.40 thf(f63,plain,(
% 0.22/0.40 ~spl9_3 | spl9_6 | spl9_7),
% 0.22/0.40 inference(avatar_split_clause,[],[f24,f60,f56,f44])).
% 0.22/0.40 thf(f24,plain,(
% 0.22/0.40 ((f @ sK1 @ sK2) = $true) | (sP0 != $true) | ($true = (cR @ sK1 @ z))),
% 0.22/0.40 inference(cnf_transformation,[],[f14])).
% 0.22/0.40 % SZS output end Proof for Vampire---4
% 0.22/0.40 % (30765)------------------------------
% 0.22/0.40 % (30765)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (30765)Termination reason: Refutation
% 0.22/0.40
% 0.22/0.40 % (30765)Memory used [KB]: 5628
% 0.22/0.40 % (30765)Time elapsed: 0.014 s
% 0.22/0.40 % (30765)Instructions burned: 12 (million)
% 0.22/0.40 % (30765)------------------------------
% 0.22/0.40 % (30765)------------------------------
% 0.22/0.40 % (30764)Success in time 0.019 s
% 0.22/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------