TSTP Solution File: CSR150^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : CSR150^1 : TPTP v8.2.0. Released v4.1.0.
% 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 : n015.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 : Mon May 20 19:35:59 EDT 2024
% Result : Theorem 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR150^1 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.14 % 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
% 0.15/0.36 % Computer : n015.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
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 00:25:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_NEQ_NAR problem
% 0.15/0.36 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/sandbox2/benchmark/theBenchmark.p
% 0.22/0.38 % (19147)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)
% 0.22/0.38 % (19143)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.38 % (19142)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)
% 0.22/0.38 % (19144)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)
% 0.22/0.38 % (19140)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.38 % (19141)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)
% 0.22/0.38 % (19145)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)
% 0.22/0.38 % (19146)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.38 % (19143)Instruction limit reached!
% 0.22/0.38 % (19143)------------------------------
% 0.22/0.38 % (19143)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (19143)Termination reason: Unknown
% 0.22/0.38 % (19143)Termination phase: Property scanning
% 0.22/0.38 % (19144)Instruction limit reached!
% 0.22/0.38 % (19144)------------------------------
% 0.22/0.38 % (19144)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (19144)Termination reason: Unknown
% 0.22/0.38 % (19144)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (19144)Memory used [KB]: 895
% 0.22/0.38 % (19144)Time elapsed: 0.003 s
% 0.22/0.38 % (19144)Instructions burned: 2 (million)
% 0.22/0.38 % (19144)------------------------------
% 0.22/0.38 % (19144)------------------------------
% 0.22/0.38
% 0.22/0.38 % (19143)Memory used [KB]: 895
% 0.22/0.38 % (19143)Time elapsed: 0.003 s
% 0.22/0.38 % (19143)Instructions burned: 2 (million)
% 0.22/0.38 % (19143)------------------------------
% 0.22/0.38 % (19143)------------------------------
% 0.22/0.38 % (19147)Instruction limit reached!
% 0.22/0.38 % (19147)------------------------------
% 0.22/0.38 % (19147)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (19147)Termination reason: Unknown
% 0.22/0.38 % (19147)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (19147)Memory used [KB]: 5500
% 0.22/0.38 % (19147)Time elapsed: 0.004 s
% 0.22/0.38 % (19147)Instructions burned: 3 (million)
% 0.22/0.38 % (19147)------------------------------
% 0.22/0.38 % (19147)------------------------------
% 0.22/0.38 % (19145)Refutation not found, incomplete strategy
% 0.22/0.38 % (19145)------------------------------
% 0.22/0.38 % (19145)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (19145)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.38
% 0.22/0.38
% 0.22/0.38 % (19145)Memory used [KB]: 5500
% 0.22/0.38 % (19145)Time elapsed: 0.004 s
% 0.22/0.38 % (19145)Instructions burned: 2 (million)
% 0.22/0.38 % (19145)------------------------------
% 0.22/0.38 % (19145)------------------------------
% 0.22/0.38 % (19141)Instruction limit reached!
% 0.22/0.38 % (19141)------------------------------
% 0.22/0.38 % (19141)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (19141)Termination reason: Unknown
% 0.22/0.38 % (19141)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (19141)Memory used [KB]: 5500
% 0.22/0.38 % (19141)Time elapsed: 0.005 s
% 0.22/0.38 % (19141)Instructions burned: 4 (million)
% 0.22/0.38 % (19142)Refutation not found, incomplete strategy
% 0.22/0.38 % (19142)------------------------------
% 0.22/0.38 % (19142)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (19141)------------------------------
% 0.22/0.38 % (19141)------------------------------
% 0.22/0.38 % (19142)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.38
% 0.22/0.38
% 0.22/0.38 % (19142)Memory used [KB]: 5500
% 0.22/0.38 % (19142)Time elapsed: 0.005 s
% 0.22/0.38 % (19142)Instructions burned: 4 (million)
% 0.22/0.38 % (19142)------------------------------
% 0.22/0.38 % (19142)------------------------------
% 0.22/0.39 % (19140)First to succeed.
% 0.22/0.39 % (19140)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Theorem for theBenchmark
% 0.22/0.39 % SZS output start Proof for theBenchmark
% 0.22/0.39 thf(func_def_0, type, num: $tType).
% 0.22/0.39 thf(func_def_1, type, grandchild_THFTYPE_IiioI: $i > $i > $o).
% 0.22/0.39 thf(func_def_2, type, grandparent_THFTYPE_IiioI: $i > $i > $o).
% 0.22/0.39 thf(func_def_3, type, lCardinalityFn_THFTYPE_IIioIiI: ($i > $o) > $i).
% 0.22/0.39 thf(func_def_5, type, ltet_THFTYPE_IiioI: $i > $i > $o).
% 0.22/0.39 thf(func_def_7, type, parent_THFTYPE_IiioI: $i > $i > $o).
% 0.22/0.39 thf(func_def_13, type, sK0: $i > $i > $i).
% 0.22/0.39 thf(func_def_14, type, sK1: $i > $i > $i).
% 0.22/0.39 thf(func_def_16, type, ph3: !>[X0: $tType]:(X0)).
% 0.22/0.39 thf(f136,plain,(
% 0.22/0.39 $false),
% 0.22/0.39 inference(avatar_sat_refutation,[],[f42,f55,f64,f70,f85,f87,f135])).
% 0.22/0.39 thf(f135,plain,(
% 0.22/0.39 spl2_3 | ~spl2_4),
% 0.22/0.39 inference(avatar_contradiction_clause,[],[f134])).
% 0.22/0.39 thf(f134,plain,(
% 0.22/0.39 $false | (spl2_3 | ~spl2_4)),
% 0.22/0.39 inference(subsumption_resolution,[],[f133,f54])).
% 0.22/0.39 thf(f54,plain,(
% 0.22/0.39 ($true = (grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ sK4)) | ~spl2_4),
% 0.22/0.39 inference(avatar_component_clause,[],[f52])).
% 0.22/0.39 thf(f52,plain,(
% 0.22/0.39 spl2_4 <=> ($true = (grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ sK4))),
% 0.22/0.39 introduced(avatar_definition,[new_symbols(naming,[spl2_4])])).
% 0.22/0.39 thf(f133,plain,(
% 0.22/0.39 ($true != (grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ sK4)) | spl2_3),
% 0.22/0.39 inference(trivial_inequality_removal,[],[f132])).
% 0.22/0.39 thf(f132,plain,(
% 0.22/0.39 ($true != (grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ sK4)) | ($true != $true) | spl2_3),
% 0.22/0.39 inference(duplicate_literal_removal,[],[f131])).
% 0.22/0.39 thf(f131,plain,(
% 0.22/0.39 ($true != (grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ sK4)) | ($true != $true) | ($true != (grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ sK4)) | spl2_3),
% 0.22/0.39 inference(superposition,[],[f125,f30])).
% 0.22/0.39 thf(f30,plain,(
% 0.22/0.39 ( ! [X0 : $i,X1 : $i] : (((parent_THFTYPE_IiioI @ (sK1 @ X1 @ X0) @ X1) = $true) | ((grandparent_THFTYPE_IiioI @ X0 @ X1) != $true)) )),
% 0.22/0.39 inference(cnf_transformation,[],[f23])).
% 0.22/0.39 thf(f23,plain,(
% 0.22/0.39 ! [X0,X1] : (((((parent_THFTYPE_IiioI @ (sK1 @ X1 @ X0) @ X1) = $true) & ((parent_THFTYPE_IiioI @ X0 @ (sK1 @ X1 @ X0)) = $true)) | ((grandparent_THFTYPE_IiioI @ X0 @ X1) != $true)) & (((grandparent_THFTYPE_IiioI @ X0 @ X1) = $true) | ! [X3] : (((parent_THFTYPE_IiioI @ X3 @ X1) != $true) | ((parent_THFTYPE_IiioI @ X0 @ X3) != $true))))),
% 0.22/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f21,f22])).
% 0.22/0.39 thf(f22,plain,(
% 0.22/0.39 ! [X0,X1] : (? [X2] : (((parent_THFTYPE_IiioI @ X2 @ X1) = $true) & ((parent_THFTYPE_IiioI @ X0 @ X2) = $true)) => (((parent_THFTYPE_IiioI @ (sK1 @ X1 @ X0) @ X1) = $true) & ((parent_THFTYPE_IiioI @ X0 @ (sK1 @ X1 @ X0)) = $true)))),
% 0.22/0.39 introduced(choice_axiom,[])).
% 0.22/0.39 thf(f21,plain,(
% 0.22/0.39 ! [X0,X1] : ((? [X2] : (((parent_THFTYPE_IiioI @ X2 @ X1) = $true) & ((parent_THFTYPE_IiioI @ X0 @ X2) = $true)) | ((grandparent_THFTYPE_IiioI @ X0 @ X1) != $true)) & (((grandparent_THFTYPE_IiioI @ X0 @ X1) = $true) | ! [X3] : (((parent_THFTYPE_IiioI @ X3 @ X1) != $true) | ((parent_THFTYPE_IiioI @ X0 @ X3) != $true))))),
% 0.22/0.39 inference(rectify,[],[f20])).
% 0.22/0.39 thf(f20,plain,(
% 0.22/0.39 ! [X0,X1] : ((? [X2] : (((parent_THFTYPE_IiioI @ X2 @ X1) = $true) & ((parent_THFTYPE_IiioI @ X0 @ X2) = $true)) | ((grandparent_THFTYPE_IiioI @ X0 @ X1) != $true)) & (((grandparent_THFTYPE_IiioI @ X0 @ X1) = $true) | ! [X2] : (((parent_THFTYPE_IiioI @ X2 @ X1) != $true) | ((parent_THFTYPE_IiioI @ X0 @ X2) != $true))))),
% 0.22/0.39 inference(nnf_transformation,[],[f14])).
% 0.22/0.39 thf(f14,plain,(
% 0.22/0.39 ! [X0,X1] : (? [X2] : (((parent_THFTYPE_IiioI @ X2 @ X1) = $true) & ((parent_THFTYPE_IiioI @ X0 @ X2) = $true)) <=> ((grandparent_THFTYPE_IiioI @ X0 @ X1) = $true))),
% 0.22/0.39 inference(fool_elimination,[],[f13])).
% 0.22/0.39 thf(f13,plain,(
% 0.22/0.39 ! [X0,X1] : (? [X2] : ((parent_THFTYPE_IiioI @ X2 @ X1) & (parent_THFTYPE_IiioI @ X0 @ X2)) <=> (grandparent_THFTYPE_IiioI @ X0 @ X1))),
% 0.22/0.39 inference(rectify,[],[f1])).
% 0.22/0.39 thf(f1,axiom,(
% 0.22/0.39 ! [X0,X1] : (? [X2] : ((parent_THFTYPE_IiioI @ X2 @ X1) & (parent_THFTYPE_IiioI @ X0 @ X2)) <=> (grandparent_THFTYPE_IiioI @ X0 @ X1))),
% 0.22/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax)).
% 0.22/0.39 thf(f125,plain,(
% 0.22/0.39 ( ! [X0 : $i] : (((parent_THFTYPE_IiioI @ (sK1 @ X0 @ lJohn_THFTYPE_i) @ sK4) != $true) | ((grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ X0) != $true)) ) | spl2_3),
% 0.22/0.39 inference(trivial_inequality_removal,[],[f124])).
% 0.22/0.39 thf(f124,plain,(
% 0.22/0.39 ( ! [X0 : $i] : (((grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ X0) != $true) | ($true != $true) | ((parent_THFTYPE_IiioI @ (sK1 @ X0 @ lJohn_THFTYPE_i) @ sK4) != $true)) ) | spl2_3),
% 0.22/0.39 inference(superposition,[],[f89,f29])).
% 0.22/0.39 thf(f29,plain,(
% 0.22/0.39 ( ! [X0 : $i,X1 : $i] : (((parent_THFTYPE_IiioI @ X0 @ (sK1 @ X1 @ X0)) = $true) | ((grandparent_THFTYPE_IiioI @ X0 @ X1) != $true)) )),
% 0.22/0.39 inference(cnf_transformation,[],[f23])).
% 0.22/0.39 thf(f89,plain,(
% 0.22/0.39 ( ! [X0 : $i] : (((parent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ X0) != $true) | ((parent_THFTYPE_IiioI @ X0 @ sK4) != $true)) ) | spl2_3),
% 0.22/0.39 inference(trivial_inequality_removal,[],[f88])).
% 0.22/0.39 thf(f88,plain,(
% 0.22/0.39 ( ! [X0 : $i] : (((parent_THFTYPE_IiioI @ X0 @ sK4) != $true) | ($true != $true) | ((parent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ X0) != $true)) ) | spl2_3),
% 0.22/0.39 inference(superposition,[],[f49,f25])).
% 0.22/0.39 thf(f25,plain,(
% 0.22/0.39 ( ! [X3 : $i,X0 : $i,X1 : $i] : (((grandchild_THFTYPE_IiioI @ X1 @ X0) = $true) | ((parent_THFTYPE_IiioI @ X3 @ X1) != $true) | ((parent_THFTYPE_IiioI @ X0 @ X3) != $true)) )),
% 0.22/0.39 inference(cnf_transformation,[],[f19])).
% 0.22/0.39 thf(f19,plain,(
% 0.22/0.39 ! [X0,X1] : (((((parent_THFTYPE_IiioI @ (sK0 @ X1 @ X0) @ X1) = $true) & ((parent_THFTYPE_IiioI @ X0 @ (sK0 @ X1 @ X0)) = $true)) | ((grandchild_THFTYPE_IiioI @ X1 @ X0) != $true)) & (((grandchild_THFTYPE_IiioI @ X1 @ X0) = $true) | ! [X3] : (((parent_THFTYPE_IiioI @ X3 @ X1) != $true) | ((parent_THFTYPE_IiioI @ X0 @ X3) != $true))))),
% 0.22/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f17,f18])).
% 0.22/0.39 thf(f18,plain,(
% 0.22/0.39 ! [X0,X1] : (? [X2] : (((parent_THFTYPE_IiioI @ X2 @ X1) = $true) & ((parent_THFTYPE_IiioI @ X0 @ X2) = $true)) => (((parent_THFTYPE_IiioI @ (sK0 @ X1 @ X0) @ X1) = $true) & ((parent_THFTYPE_IiioI @ X0 @ (sK0 @ X1 @ X0)) = $true)))),
% 0.22/0.39 introduced(choice_axiom,[])).
% 0.22/0.39 thf(f17,plain,(
% 0.22/0.39 ! [X0,X1] : ((? [X2] : (((parent_THFTYPE_IiioI @ X2 @ X1) = $true) & ((parent_THFTYPE_IiioI @ X0 @ X2) = $true)) | ((grandchild_THFTYPE_IiioI @ X1 @ X0) != $true)) & (((grandchild_THFTYPE_IiioI @ X1 @ X0) = $true) | ! [X3] : (((parent_THFTYPE_IiioI @ X3 @ X1) != $true) | ((parent_THFTYPE_IiioI @ X0 @ X3) != $true))))),
% 0.22/0.39 inference(rectify,[],[f16])).
% 0.22/0.39 thf(f16,plain,(
% 0.22/0.39 ! [X0,X1] : ((? [X2] : (((parent_THFTYPE_IiioI @ X2 @ X1) = $true) & ((parent_THFTYPE_IiioI @ X0 @ X2) = $true)) | ((grandchild_THFTYPE_IiioI @ X1 @ X0) != $true)) & (((grandchild_THFTYPE_IiioI @ X1 @ X0) = $true) | ! [X2] : (((parent_THFTYPE_IiioI @ X2 @ X1) != $true) | ((parent_THFTYPE_IiioI @ X0 @ X2) != $true))))),
% 0.22/0.39 inference(nnf_transformation,[],[f10])).
% 0.22/0.39 thf(f10,plain,(
% 0.22/0.39 ! [X0,X1] : (? [X2] : (((parent_THFTYPE_IiioI @ X2 @ X1) = $true) & ((parent_THFTYPE_IiioI @ X0 @ X2) = $true)) <=> ((grandchild_THFTYPE_IiioI @ X1 @ X0) = $true))),
% 0.22/0.39 inference(fool_elimination,[],[f9])).
% 0.22/0.39 thf(f9,plain,(
% 0.22/0.39 ! [X0,X1] : (? [X2] : ((parent_THFTYPE_IiioI @ X0 @ X2) & (parent_THFTYPE_IiioI @ X2 @ X1)) <=> (grandchild_THFTYPE_IiioI @ X1 @ X0))),
% 0.22/0.39 inference(rectify,[],[f3])).
% 0.22/0.39 thf(f3,axiom,(
% 0.22/0.39 ! [X1,X0] : (? [X2] : ((parent_THFTYPE_IiioI @ X1 @ X2) & (parent_THFTYPE_IiioI @ X2 @ X0)) <=> (grandchild_THFTYPE_IiioI @ X0 @ X1))),
% 0.22/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002)).
% 0.22/0.39 thf(f49,plain,(
% 0.22/0.39 ((grandchild_THFTYPE_IiioI @ sK4 @ lJohn_THFTYPE_i) != $true) | spl2_3),
% 0.22/0.39 inference(avatar_component_clause,[],[f48])).
% 0.22/0.39 thf(f48,plain,(
% 0.22/0.39 spl2_3 <=> ((grandchild_THFTYPE_IiioI @ sK4 @ lJohn_THFTYPE_i) = $true)),
% 0.22/0.39 introduced(avatar_definition,[new_symbols(naming,[spl2_3])])).
% 0.22/0.39 thf(f87,plain,(
% 0.22/0.39 ~spl2_2),
% 0.22/0.39 inference(avatar_contradiction_clause,[],[f86])).
% 0.22/0.39 thf(f86,plain,(
% 0.22/0.39 $false | ~spl2_2),
% 0.22/0.39 inference(equality_resolution,[],[f41])).
% 0.22/0.39 thf(f41,plain,(
% 0.22/0.39 ( ! [X0 : $i] : ((n3_THFTYPE_i != X0)) ) | ~spl2_2),
% 0.22/0.39 inference(avatar_component_clause,[],[f40])).
% 0.22/0.39 thf(f40,plain,(
% 0.22/0.39 spl2_2 <=> ! [X0] : (n3_THFTYPE_i != X0)),
% 0.22/0.39 introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
% 0.22/0.39 thf(f85,plain,(
% 0.22/0.39 ~spl2_3 | ~spl2_6),
% 0.22/0.39 inference(avatar_contradiction_clause,[],[f84])).
% 0.22/0.39 thf(f84,plain,(
% 0.22/0.39 $false | (~spl2_3 | ~spl2_6)),
% 0.22/0.39 inference(subsumption_resolution,[],[f83,f50])).
% 0.22/0.39 thf(f50,plain,(
% 0.22/0.39 ((grandchild_THFTYPE_IiioI @ sK4 @ lJohn_THFTYPE_i) = $true) | ~spl2_3),
% 0.22/0.39 inference(avatar_component_clause,[],[f48])).
% 0.22/0.39 thf(f83,plain,(
% 0.22/0.39 ((grandchild_THFTYPE_IiioI @ sK4 @ lJohn_THFTYPE_i) != $true) | ~spl2_6),
% 0.22/0.39 inference(trivial_inequality_removal,[],[f82])).
% 0.22/0.39 thf(f82,plain,(
% 0.22/0.39 ((grandchild_THFTYPE_IiioI @ sK4 @ lJohn_THFTYPE_i) != $true) | ($true != $true) | ~spl2_6),
% 0.22/0.39 inference(duplicate_literal_removal,[],[f81])).
% 0.22/0.39 thf(f81,plain,(
% 0.22/0.39 ($true != $true) | ((grandchild_THFTYPE_IiioI @ sK4 @ lJohn_THFTYPE_i) != $true) | ((grandchild_THFTYPE_IiioI @ sK4 @ lJohn_THFTYPE_i) != $true) | ~spl2_6),
% 0.22/0.39 inference(superposition,[],[f79,f27])).
% 0.22/0.39 thf(f27,plain,(
% 0.22/0.39 ( ! [X0 : $i,X1 : $i] : (((parent_THFTYPE_IiioI @ (sK0 @ X1 @ X0) @ X1) = $true) | ((grandchild_THFTYPE_IiioI @ X1 @ X0) != $true)) )),
% 0.22/0.39 inference(cnf_transformation,[],[f19])).
% 0.22/0.39 thf(f79,plain,(
% 0.22/0.39 ( ! [X0 : $i] : (((parent_THFTYPE_IiioI @ (sK0 @ X0 @ lJohn_THFTYPE_i) @ sK4) != $true) | ((grandchild_THFTYPE_IiioI @ X0 @ lJohn_THFTYPE_i) != $true)) ) | ~spl2_6),
% 0.22/0.39 inference(trivial_inequality_removal,[],[f77])).
% 0.22/0.39 thf(f77,plain,(
% 0.22/0.39 ( ! [X0 : $i] : (((parent_THFTYPE_IiioI @ (sK0 @ X0 @ lJohn_THFTYPE_i) @ sK4) != $true) | ((grandchild_THFTYPE_IiioI @ X0 @ lJohn_THFTYPE_i) != $true) | ($true != $true)) ) | ~spl2_6),
% 0.22/0.39 inference(superposition,[],[f76,f26])).
% 0.22/0.39 thf(f26,plain,(
% 0.22/0.39 ( ! [X0 : $i,X1 : $i] : (((parent_THFTYPE_IiioI @ X0 @ (sK0 @ X1 @ X0)) = $true) | ((grandchild_THFTYPE_IiioI @ X1 @ X0) != $true)) )),
% 0.22/0.39 inference(cnf_transformation,[],[f19])).
% 0.22/0.39 thf(f76,plain,(
% 0.22/0.39 ( ! [X0 : $i] : (((parent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ X0) != $true) | ((parent_THFTYPE_IiioI @ X0 @ sK4) != $true)) ) | ~spl2_6),
% 0.22/0.39 inference(trivial_inequality_removal,[],[f73])).
% 0.22/0.39 thf(f73,plain,(
% 0.22/0.39 ( ! [X0 : $i] : (($false = $true) | ((parent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ X0) != $true) | ((parent_THFTYPE_IiioI @ X0 @ sK4) != $true)) ) | ~spl2_6),
% 0.22/0.39 inference(superposition,[],[f28,f63])).
% 0.22/0.39 thf(f63,plain,(
% 0.22/0.39 ($false = (grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ sK4)) | ~spl2_6),
% 0.22/0.39 inference(avatar_component_clause,[],[f61])).
% 0.22/0.39 thf(f61,plain,(
% 0.22/0.39 spl2_6 <=> ($false = (grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ sK4))),
% 0.22/0.39 introduced(avatar_definition,[new_symbols(naming,[spl2_6])])).
% 0.22/0.39 thf(f28,plain,(
% 0.22/0.39 ( ! [X3 : $i,X0 : $i,X1 : $i] : (((grandparent_THFTYPE_IiioI @ X0 @ X1) = $true) | ((parent_THFTYPE_IiioI @ X3 @ X1) != $true) | ((parent_THFTYPE_IiioI @ X0 @ X3) != $true)) )),
% 0.22/0.39 inference(cnf_transformation,[],[f23])).
% 0.22/0.39 thf(f70,plain,(
% 0.22/0.39 ~spl2_3 | ~spl2_5),
% 0.22/0.39 inference(avatar_contradiction_clause,[],[f69])).
% 0.22/0.39 thf(f69,plain,(
% 0.22/0.39 $false | (~spl2_3 | ~spl2_5)),
% 0.22/0.39 inference(trivial_inequality_removal,[],[f65])).
% 0.22/0.39 thf(f65,plain,(
% 0.22/0.39 ($false = $true) | (~spl2_3 | ~spl2_5)),
% 0.22/0.39 inference(superposition,[],[f59,f50])).
% 0.22/0.39 thf(f59,plain,(
% 0.22/0.39 ($false = (grandchild_THFTYPE_IiioI @ sK4 @ lJohn_THFTYPE_i)) | ~spl2_5),
% 0.22/0.39 inference(avatar_component_clause,[],[f57])).
% 0.22/0.39 thf(f57,plain,(
% 0.22/0.39 spl2_5 <=> ($false = (grandchild_THFTYPE_IiioI @ sK4 @ lJohn_THFTYPE_i))),
% 0.22/0.39 introduced(avatar_definition,[new_symbols(naming,[spl2_5])])).
% 0.22/0.39 thf(f64,plain,(
% 0.22/0.39 spl2_5 | spl2_6 | spl2_1),
% 0.22/0.39 inference(avatar_split_clause,[],[f46,f36,f61,f57])).
% 0.22/0.39 thf(f36,plain,(
% 0.22/0.39 spl2_1 <=> ((grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i) = (^[Y0 : $i]: (grandchild_THFTYPE_IiioI @ Y0 @ lJohn_THFTYPE_i)))),
% 0.22/0.39 introduced(avatar_definition,[new_symbols(naming,[spl2_1])])).
% 0.22/0.39 thf(f46,plain,(
% 0.22/0.39 ($false = (grandchild_THFTYPE_IiioI @ sK4 @ lJohn_THFTYPE_i)) | ($false = (grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ sK4)) | spl2_1),
% 0.22/0.39 inference(binary_proxy_clausification,[],[f44])).
% 0.22/0.39 thf(f44,plain,(
% 0.22/0.39 ((grandchild_THFTYPE_IiioI @ sK4 @ lJohn_THFTYPE_i) != (grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ sK4)) | spl2_1),
% 0.22/0.39 inference(beta_eta_normalization,[],[f43])).
% 0.22/0.39 thf(f43,plain,(
% 0.22/0.39 (((^[Y0 : $i]: (grandchild_THFTYPE_IiioI @ Y0 @ lJohn_THFTYPE_i)) @ sK4) != (grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ sK4)) | spl2_1),
% 0.22/0.39 inference(negative_extensionality,[],[f38])).
% 0.22/0.39 thf(f38,plain,(
% 0.22/0.39 ((grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i) != (^[Y0 : $i]: (grandchild_THFTYPE_IiioI @ Y0 @ lJohn_THFTYPE_i))) | spl2_1),
% 0.22/0.39 inference(avatar_component_clause,[],[f36])).
% 0.22/0.39 thf(f55,plain,(
% 0.22/0.39 spl2_3 | spl2_4 | spl2_1),
% 0.22/0.39 inference(avatar_split_clause,[],[f45,f36,f52,f48])).
% 0.22/0.39 thf(f45,plain,(
% 0.22/0.39 ($true = (grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ sK4)) | ((grandchild_THFTYPE_IiioI @ sK4 @ lJohn_THFTYPE_i) = $true) | spl2_1),
% 0.22/0.39 inference(binary_proxy_clausification,[],[f44])).
% 0.22/0.39 thf(f42,plain,(
% 0.22/0.39 ~spl2_1 | spl2_2),
% 0.22/0.39 inference(avatar_split_clause,[],[f34,f40,f36])).
% 0.22/0.39 thf(f34,plain,(
% 0.22/0.39 ( ! [X0 : $i] : ((n3_THFTYPE_i != X0) | ((grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i) != (^[Y0 : $i]: (grandchild_THFTYPE_IiioI @ Y0 @ lJohn_THFTYPE_i)))) )),
% 0.22/0.39 inference(trivial_inequality_removal,[],[f33])).
% 0.22/0.39 thf(f33,plain,(
% 0.22/0.39 ( ! [X0 : $i] : ((n3_THFTYPE_i != X0) | ($true != $true) | ((grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i) != (^[Y0 : $i]: (grandchild_THFTYPE_IiioI @ Y0 @ lJohn_THFTYPE_i)))) )),
% 0.22/0.39 inference(constrained_superposition,[],[f31,f32])).
% 0.22/0.39 thf(f32,plain,(
% 0.22/0.39 ((ltet_THFTYPE_IiioI @ (lCardinalityFn_THFTYPE_IIioIiI @ (grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i)) @ n3_THFTYPE_i) = $true)),
% 0.22/0.39 inference(beta_eta_normalization,[],[f24])).
% 0.22/0.39 thf(f24,plain,(
% 0.22/0.39 ((ltet_THFTYPE_IiioI @ (lCardinalityFn_THFTYPE_IIioIiI @ (^[Y0 : $i]: (grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ Y0))) @ n3_THFTYPE_i) = $true)),
% 0.22/0.39 inference(cnf_transformation,[],[f8])).
% 0.22/0.39 thf(f8,plain,(
% 0.22/0.39 ((ltet_THFTYPE_IiioI @ (lCardinalityFn_THFTYPE_IIioIiI @ (^[Y0 : $i]: (grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ Y0))) @ n3_THFTYPE_i) = $true)),
% 0.22/0.39 inference(fool_elimination,[],[f7])).
% 0.22/0.39 thf(f7,plain,(
% 0.22/0.39 (ltet_THFTYPE_IiioI @ (lCardinalityFn_THFTYPE_IIioIiI @ (^[X0 : $i] : (grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ X0))) @ n3_THFTYPE_i)),
% 0.22/0.39 inference(rectify,[],[f2])).
% 0.22/0.39 thf(f2,axiom,(
% 0.22/0.39 (ltet_THFTYPE_IiioI @ (lCardinalityFn_THFTYPE_IIioIiI @ (^[X0 : $i] : (grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ X0))) @ n3_THFTYPE_i)),
% 0.22/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001)).
% 0.22/0.39 thf(f31,plain,(
% 0.22/0.39 ( ! [X0 : $i] : (((ltet_THFTYPE_IiioI @ (lCardinalityFn_THFTYPE_IIioIiI @ (^[Y0 : $i]: (grandchild_THFTYPE_IiioI @ Y0 @ lJohn_THFTYPE_i))) @ X0) != $true)) )),
% 0.22/0.39 inference(cnf_transformation,[],[f15])).
% 0.22/0.39 thf(f15,plain,(
% 0.22/0.39 ! [X0] : ((ltet_THFTYPE_IiioI @ (lCardinalityFn_THFTYPE_IIioIiI @ (^[Y0 : $i]: (grandchild_THFTYPE_IiioI @ Y0 @ lJohn_THFTYPE_i))) @ X0) != $true)),
% 0.22/0.39 inference(ennf_transformation,[],[f12])).
% 0.22/0.39 thf(f12,plain,(
% 0.22/0.39 ~? [X0] : ((ltet_THFTYPE_IiioI @ (lCardinalityFn_THFTYPE_IIioIiI @ (^[Y0 : $i]: (grandchild_THFTYPE_IiioI @ Y0 @ lJohn_THFTYPE_i))) @ X0) = $true)),
% 0.22/0.39 inference(fool_elimination,[],[f11])).
% 0.22/0.39 thf(f11,plain,(
% 0.22/0.39 ~? [X0] : (ltet_THFTYPE_IiioI @ (lCardinalityFn_THFTYPE_IIioIiI @ (^[X1 : $i] : (grandchild_THFTYPE_IiioI @ X1 @ lJohn_THFTYPE_i))) @ X0)),
% 0.22/0.39 inference(rectify,[],[f5])).
% 0.22/0.39 thf(f5,negated_conjecture,(
% 0.22/0.39 ~? [X1] : (ltet_THFTYPE_IiioI @ (lCardinalityFn_THFTYPE_IIioIiI @ (^[X0 : $i] : (grandchild_THFTYPE_IiioI @ X0 @ lJohn_THFTYPE_i))) @ X1)),
% 0.22/0.39 inference(negated_conjecture,[],[f4])).
% 0.22/0.39 thf(f4,conjecture,(
% 0.22/0.39 ? [X1] : (ltet_THFTYPE_IiioI @ (lCardinalityFn_THFTYPE_IIioIiI @ (^[X0 : $i] : (grandchild_THFTYPE_IiioI @ X0 @ lJohn_THFTYPE_i))) @ X1)),
% 0.22/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.22/0.39 % SZS output end Proof for theBenchmark
% 0.22/0.39 % (19140)------------------------------
% 0.22/0.39 % (19140)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (19140)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (19140)Memory used [KB]: 5628
% 0.22/0.39 % (19140)Time elapsed: 0.011 s
% 0.22/0.39 % (19140)Instructions burned: 10 (million)
% 0.22/0.39 % (19140)------------------------------
% 0.22/0.39 % (19140)------------------------------
% 0.22/0.39 % (19139)Success in time 0.014 s
% 0.22/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------