TSTP Solution File: SYO105^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO105^5 : 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 : 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 : Tue May 21 09:02:57 EDT 2024
% Result : Theorem 0.23s 0.41s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYO105^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.15 % 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
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 08:39:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_NEQ_NAR problem
% 0.15/0.37 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
% 0.23/0.40 % (24895)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.23/0.40 % (24896)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)
% 0.23/0.40 % (24897)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)
% 0.23/0.40 % (24901)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.40 % (24898)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.40 % (24899)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)
% 0.23/0.40 % (24900)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)
% 0.23/0.40 % (24899)Instruction limit reached!
% 0.23/0.40 % (24899)------------------------------
% 0.23/0.40 % (24899)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (24899)Termination reason: Unknown
% 0.23/0.40 % (24899)Termination phase: Clausification
% 0.23/0.40
% 0.23/0.40 % (24899)Memory used [KB]: 895
% 0.23/0.40 % (24899)Time elapsed: 0.004 s
% 0.23/0.40 % (24899)Instructions burned: 2 (million)
% 0.23/0.40 % (24899)------------------------------
% 0.23/0.40 % (24899)------------------------------
% 0.23/0.40 % (24902)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)
% 0.23/0.40 % (24898)Instruction limit reached!
% 0.23/0.40 % (24898)------------------------------
% 0.23/0.40 % (24898)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (24898)Termination reason: Unknown
% 0.23/0.40 % (24898)Termination phase: Saturation
% 0.23/0.40
% 0.23/0.40 % (24898)Memory used [KB]: 5500
% 0.23/0.40 % (24898)Time elapsed: 0.005 s
% 0.23/0.40 % (24898)Instructions burned: 2 (million)
% 0.23/0.40 % (24898)------------------------------
% 0.23/0.40 % (24898)------------------------------
% 0.23/0.40 % (24902)Instruction limit reached!
% 0.23/0.40 % (24902)------------------------------
% 0.23/0.40 % (24902)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (24902)Termination reason: Unknown
% 0.23/0.40 % (24896)Instruction limit reached!
% 0.23/0.40 % (24896)------------------------------
% 0.23/0.40 % (24896)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (24896)Termination reason: Unknown
% 0.23/0.40 % (24896)Termination phase: Saturation
% 0.23/0.40
% 0.23/0.40 % (24896)Memory used [KB]: 5500
% 0.23/0.40 % (24896)Time elapsed: 0.008 s
% 0.23/0.40 % (24896)Instructions burned: 4 (million)
% 0.23/0.40 % (24896)------------------------------
% 0.23/0.40 % (24896)------------------------------
% 0.23/0.40 % (24902)Termination phase: Saturation
% 0.23/0.40
% 0.23/0.40 % (24902)Memory used [KB]: 5500
% 0.23/0.40 % (24902)Time elapsed: 0.006 s
% 0.23/0.40 % (24902)Instructions burned: 3 (million)
% 0.23/0.40 % (24902)------------------------------
% 0.23/0.40 % (24902)------------------------------
% 0.23/0.41 % (24895)First to succeed.
% 0.23/0.41 % (24900)Also succeeded, but the first one will report.
% 0.23/0.41 % (24895)Refutation found. Thanks to Tanya!
% 0.23/0.41 % SZS status Theorem for theBenchmark
% 0.23/0.41 % SZS output start Proof for theBenchmark
% 0.23/0.41 thf(func_def_0, type, cR: $i > $o).
% 0.23/0.41 thf(func_def_2, type, cP: $i > $i > $i > $o).
% 0.23/0.41 thf(func_def_3, type, cQ: $i > $i > $o).
% 0.23/0.41 thf(func_def_7, type, sK0: $i > $i).
% 0.23/0.41 thf(func_def_8, type, sK1: $i > $i > $i).
% 0.23/0.41 thf(func_def_12, type, sK5: $i > $i).
% 0.23/0.41 thf(func_def_14, type, sK7: $i > $i).
% 0.23/0.41 thf(f93,plain,(
% 0.23/0.41 $false),
% 0.23/0.41 inference(avatar_sat_refutation,[],[f37,f46,f54,f62,f66,f71,f74,f77,f80,f83,f86,f89,f92])).
% 0.23/0.41 thf(f92,plain,(
% 0.23/0.41 ~spl8_3 | ~spl8_10),
% 0.23/0.41 inference(avatar_contradiction_clause,[],[f91])).
% 0.23/0.41 thf(f91,plain,(
% 0.23/0.41 $false | (~spl8_3 | ~spl8_10)),
% 0.23/0.41 inference(trivial_inequality_removal,[],[f90])).
% 0.23/0.41 thf(f90,plain,(
% 0.23/0.41 ($true != $true) | (~spl8_3 | ~spl8_10)),
% 0.23/0.41 inference(superposition,[],[f65,f36])).
% 0.23/0.41 thf(f36,plain,(
% 0.23/0.41 ( ! [X6 : $i] : (($true = (cP @ X6 @ y @ sK2))) ) | ~spl8_3),
% 0.23/0.41 inference(avatar_component_clause,[],[f35])).
% 0.23/0.41 thf(f35,plain,(
% 0.23/0.41 spl8_3 <=> ! [X6] : ($true = (cP @ X6 @ y @ sK2))),
% 0.23/0.41 introduced(avatar_definition,[new_symbols(naming,[spl8_3])])).
% 0.23/0.41 thf(f65,plain,(
% 0.23/0.41 ( ! [X13 : $i] : (($true != (cP @ (sK7 @ X13) @ y @ X13))) ) | ~spl8_10),
% 0.23/0.41 inference(avatar_component_clause,[],[f64])).
% 0.23/0.41 thf(f64,plain,(
% 0.23/0.41 spl8_10 <=> ! [X13] : ($true != (cP @ (sK7 @ X13) @ y @ X13))),
% 0.23/0.41 introduced(avatar_definition,[new_symbols(naming,[spl8_10])])).
% 0.23/0.41 thf(f89,plain,(
% 0.23/0.41 spl8_1 | ~spl8_7 | ~spl8_8),
% 0.23/0.41 inference(avatar_split_clause,[],[f88,f56,f52,f29])).
% 0.23/0.41 thf(f29,plain,(
% 0.23/0.41 spl8_1 <=> ! [X4] : ((cQ @ X4 @ y) != $true)),
% 0.23/0.41 introduced(avatar_definition,[new_symbols(naming,[spl8_1])])).
% 0.23/0.41 thf(f52,plain,(
% 0.23/0.41 spl8_7 <=> ! [X2,X0] : (((cQ @ X0 @ y) != $true) | ((cR @ (sK1 @ X2 @ X0)) = $true))),
% 0.23/0.41 introduced(avatar_definition,[new_symbols(naming,[spl8_7])])).
% 0.23/0.41 thf(f56,plain,(
% 0.23/0.41 spl8_8 <=> ! [X11] : ((cR @ X11) != $true)),
% 0.23/0.41 introduced(avatar_definition,[new_symbols(naming,[spl8_8])])).
% 0.23/0.41 thf(f88,plain,(
% 0.23/0.41 ( ! [X1 : $i] : (((cQ @ X1 @ y) != $true)) ) | (~spl8_7 | ~spl8_8)),
% 0.23/0.41 inference(trivial_inequality_removal,[],[f87])).
% 0.23/0.41 thf(f87,plain,(
% 0.23/0.41 ( ! [X1 : $i] : (((cQ @ X1 @ y) != $true) | ($true != $true)) ) | (~spl8_7 | ~spl8_8)),
% 0.23/0.41 inference(superposition,[],[f57,f53])).
% 0.23/0.41 thf(f53,plain,(
% 0.23/0.41 ( ! [X2 : $i,X0 : $i] : (((cR @ (sK1 @ X2 @ X0)) = $true) | ((cQ @ X0 @ y) != $true)) ) | ~spl8_7),
% 0.23/0.41 inference(avatar_component_clause,[],[f52])).
% 0.23/0.41 thf(f57,plain,(
% 0.23/0.41 ( ! [X11 : $i] : (((cR @ X11) != $true)) ) | ~spl8_8),
% 0.23/0.41 inference(avatar_component_clause,[],[f56])).
% 0.23/0.41 thf(f86,plain,(
% 0.23/0.41 ~spl8_1 | ~spl8_5),
% 0.23/0.41 inference(avatar_contradiction_clause,[],[f85])).
% 0.23/0.41 thf(f85,plain,(
% 0.23/0.41 $false | (~spl8_1 | ~spl8_5)),
% 0.23/0.41 inference(trivial_inequality_removal,[],[f84])).
% 0.23/0.41 thf(f84,plain,(
% 0.23/0.41 ($true != $true) | (~spl8_1 | ~spl8_5)),
% 0.23/0.41 inference(superposition,[],[f30,f45])).
% 0.23/0.41 thf(f45,plain,(
% 0.23/0.41 ((cQ @ sK6 @ y) = $true) | ~spl8_5),
% 0.23/0.41 inference(avatar_component_clause,[],[f43])).
% 0.23/0.41 thf(f43,plain,(
% 0.23/0.41 spl8_5 <=> ((cQ @ sK6 @ y) = $true)),
% 0.23/0.41 introduced(avatar_definition,[new_symbols(naming,[spl8_5])])).
% 0.23/0.41 thf(f30,plain,(
% 0.23/0.41 ( ! [X4 : $i] : (((cQ @ X4 @ y) != $true)) ) | ~spl8_1),
% 0.23/0.41 inference(avatar_component_clause,[],[f29])).
% 0.23/0.41 thf(f83,plain,(
% 0.23/0.41 spl8_1 | ~spl8_2 | ~spl8_10),
% 0.23/0.41 inference(avatar_split_clause,[],[f82,f64,f32,f29])).
% 0.23/0.41 thf(f32,plain,(
% 0.23/0.41 spl8_2 <=> ! [X2,X0] : (((cQ @ X0 @ y) != $true) | ((cP @ X2 @ y @ (sK0 @ X0)) = $true))),
% 0.23/0.41 introduced(avatar_definition,[new_symbols(naming,[spl8_2])])).
% 0.23/0.41 thf(f82,plain,(
% 0.23/0.41 ( ! [X0 : $i] : (((cQ @ X0 @ y) != $true)) ) | (~spl8_2 | ~spl8_10)),
% 0.23/0.41 inference(trivial_inequality_removal,[],[f81])).
% 0.23/0.41 thf(f81,plain,(
% 0.23/0.41 ( ! [X0 : $i] : (($true != $true) | ((cQ @ X0 @ y) != $true)) ) | (~spl8_2 | ~spl8_10)),
% 0.23/0.41 inference(superposition,[],[f65,f33])).
% 0.23/0.41 thf(f33,plain,(
% 0.23/0.41 ( ! [X2 : $i,X0 : $i] : (((cP @ X2 @ y @ (sK0 @ X0)) = $true) | ((cQ @ X0 @ y) != $true)) ) | ~spl8_2),
% 0.23/0.41 inference(avatar_component_clause,[],[f32])).
% 0.23/0.41 thf(f80,plain,(
% 0.23/0.41 spl8_1 | ~spl8_2 | ~spl8_9),
% 0.23/0.41 inference(avatar_split_clause,[],[f79,f59,f32,f29])).
% 0.23/0.41 thf(f59,plain,(
% 0.23/0.41 spl8_9 <=> ! [X9] : ((cP @ (sK5 @ X9) @ y @ X9) != $true)),
% 0.23/0.41 introduced(avatar_definition,[new_symbols(naming,[spl8_9])])).
% 0.23/0.41 thf(f79,plain,(
% 0.23/0.41 ( ! [X0 : $i] : (((cQ @ X0 @ y) != $true)) ) | (~spl8_2 | ~spl8_9)),
% 0.23/0.41 inference(trivial_inequality_removal,[],[f78])).
% 0.23/0.41 thf(f78,plain,(
% 0.23/0.41 ( ! [X0 : $i] : (((cQ @ X0 @ y) != $true) | ($true != $true)) ) | (~spl8_2 | ~spl8_9)),
% 0.23/0.41 inference(superposition,[],[f60,f33])).
% 0.23/0.41 thf(f60,plain,(
% 0.23/0.41 ( ! [X9 : $i] : (((cP @ (sK5 @ X9) @ y @ X9) != $true)) ) | ~spl8_9),
% 0.23/0.41 inference(avatar_component_clause,[],[f59])).
% 0.23/0.41 thf(f77,plain,(
% 0.23/0.41 ~spl8_1 | ~spl8_4),
% 0.23/0.41 inference(avatar_contradiction_clause,[],[f76])).
% 0.23/0.41 thf(f76,plain,(
% 0.23/0.41 $false | (~spl8_1 | ~spl8_4)),
% 0.23/0.41 inference(trivial_inequality_removal,[],[f75])).
% 0.23/0.41 thf(f75,plain,(
% 0.23/0.41 ($true != $true) | (~spl8_1 | ~spl8_4)),
% 0.23/0.41 inference(superposition,[],[f30,f41])).
% 0.23/0.41 thf(f41,plain,(
% 0.23/0.41 ((cQ @ sK4 @ y) = $true) | ~spl8_4),
% 0.23/0.41 inference(avatar_component_clause,[],[f39])).
% 0.23/0.41 thf(f39,plain,(
% 0.23/0.41 spl8_4 <=> ((cQ @ sK4 @ y) = $true)),
% 0.23/0.41 introduced(avatar_definition,[new_symbols(naming,[spl8_4])])).
% 0.23/0.41 thf(f74,plain,(
% 0.23/0.41 ~spl8_3 | ~spl8_9),
% 0.23/0.41 inference(avatar_contradiction_clause,[],[f73])).
% 0.23/0.41 thf(f73,plain,(
% 0.23/0.41 $false | (~spl8_3 | ~spl8_9)),
% 0.23/0.41 inference(trivial_inequality_removal,[],[f72])).
% 0.23/0.41 thf(f72,plain,(
% 0.23/0.41 ($true != $true) | (~spl8_3 | ~spl8_9)),
% 0.23/0.41 inference(superposition,[],[f60,f36])).
% 0.23/0.41 thf(f71,plain,(
% 0.23/0.41 ~spl8_6 | ~spl8_8),
% 0.23/0.41 inference(avatar_contradiction_clause,[],[f70])).
% 0.23/0.41 thf(f70,plain,(
% 0.23/0.41 $false | (~spl8_6 | ~spl8_8)),
% 0.23/0.41 inference(trivial_inequality_removal,[],[f69])).
% 0.23/0.41 thf(f69,plain,(
% 0.23/0.41 ($true != $true) | (~spl8_6 | ~spl8_8)),
% 0.23/0.41 inference(superposition,[],[f57,f50])).
% 0.23/0.41 thf(f50,plain,(
% 0.23/0.41 ((cR @ sK3) = $true) | ~spl8_6),
% 0.23/0.41 inference(avatar_component_clause,[],[f48])).
% 0.23/0.41 thf(f48,plain,(
% 0.23/0.41 spl8_6 <=> ((cR @ sK3) = $true)),
% 0.23/0.41 introduced(avatar_definition,[new_symbols(naming,[spl8_6])])).
% 0.23/0.41 thf(f66,plain,(
% 0.23/0.41 spl8_8 | spl8_8 | spl8_9 | spl8_10),
% 0.23/0.41 inference(avatar_split_clause,[],[f20,f64,f59,f56,f56])).
% 0.23/0.41 thf(f20,plain,(
% 0.23/0.41 ( ! [X11 : $i,X9 : $i,X15 : $i,X13 : $i] : (($true != (cP @ (sK7 @ X13) @ y @ X13)) | ($true != (cR @ X15)) | ((cR @ X11) != $true) | ((cP @ (sK5 @ X9) @ y @ X9) != $true)) )),
% 0.23/0.41 inference(cnf_transformation,[],[f19])).
% 0.23/0.41 thf(f19,plain,(
% 0.23/0.41 (! [X0] : ! [X2] : (((cQ @ X0 @ y) != $true) | (((cR @ (sK1 @ X2 @ X0)) = $true) & ((cP @ X2 @ y @ (sK0 @ X0)) = $true))) | ! [X4] : ((cQ @ X4 @ y) != $true) | (! [X6] : ($true = (cP @ X6 @ y @ sK2)) & ((cR @ sK3) = $true))) & (! [X9] : ! [X11] : (((cQ @ sK4 @ y) = $true) & (((cR @ X11) != $true) | ((cP @ (sK5 @ X9) @ y @ X9) != $true))) | (((cQ @ sK6 @ y) = $true) & ! [X13] : (($true != (cP @ (sK7 @ X13) @ y @ X13)) | ! [X15] : ($true != (cR @ X15)))))),
% 0.23/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f10,f18,f17,f16,f15,f14,f13,f12,f11])).
% 0.23/0.41 thf(f11,plain,(
% 0.23/0.41 ! [X0] : (? [X1] : ! [X2] : ? [X3] : (((cQ @ X0 @ y) != $true) | (((cR @ X3) = $true) & ((cP @ X2 @ y @ X1) = $true))) => ! [X2] : ? [X3] : (((cQ @ X0 @ y) != $true) | (((cR @ X3) = $true) & ((cP @ X2 @ y @ (sK0 @ X0)) = $true))))),
% 0.23/0.41 introduced(choice_axiom,[])).
% 0.23/0.41 thf(f12,plain,(
% 0.23/0.41 ! [X0,X2] : (? [X3] : (((cQ @ X0 @ y) != $true) | (((cR @ X3) = $true) & ((cP @ X2 @ y @ (sK0 @ X0)) = $true))) => (((cQ @ X0 @ y) != $true) | (((cR @ (sK1 @ X2 @ X0)) = $true) & ((cP @ X2 @ y @ (sK0 @ X0)) = $true))))),
% 0.23/0.41 introduced(choice_axiom,[])).
% 0.23/0.41 thf(f13,plain,(
% 0.23/0.41 ? [X5] : (! [X6] : ((cP @ X6 @ y @ X5) = $true) & ? [X7] : ((cR @ X7) = $true)) => (! [X6] : ($true = (cP @ X6 @ y @ sK2)) & ? [X7] : ((cR @ X7) = $true))),
% 0.23/0.41 introduced(choice_axiom,[])).
% 0.23/0.41 thf(f14,plain,(
% 0.23/0.41 ? [X7] : ((cR @ X7) = $true) => ((cR @ sK3) = $true)),
% 0.23/0.41 introduced(choice_axiom,[])).
% 0.23/0.41 thf(f15,plain,(
% 0.23/0.41 ? [X8] : ! [X9] : ? [X10] : ! [X11] : (($true = (cQ @ X8 @ y)) & (((cR @ X11) != $true) | ((cP @ X10 @ y @ X9) != $true))) => ! [X9] : ? [X10] : ! [X11] : (((cQ @ sK4 @ y) = $true) & (((cR @ X11) != $true) | ((cP @ X10 @ y @ X9) != $true)))),
% 0.23/0.41 introduced(choice_axiom,[])).
% 0.23/0.41 thf(f16,plain,(
% 0.23/0.41 ! [X9] : (? [X10] : ! [X11] : (((cQ @ sK4 @ y) = $true) & (((cR @ X11) != $true) | ((cP @ X10 @ y @ X9) != $true))) => ! [X11] : (((cQ @ sK4 @ y) = $true) & (((cR @ X11) != $true) | ((cP @ (sK5 @ X9) @ y @ X9) != $true))))),
% 0.23/0.41 introduced(choice_axiom,[])).
% 0.23/0.41 thf(f17,plain,(
% 0.23/0.41 ? [X12] : ((cQ @ X12 @ y) = $true) => ((cQ @ sK6 @ y) = $true)),
% 0.23/0.41 introduced(choice_axiom,[])).
% 0.23/0.41 thf(f18,plain,(
% 0.23/0.41 ! [X13] : (? [X14] : ((cP @ X14 @ y @ X13) != $true) => ($true != (cP @ (sK7 @ X13) @ y @ X13)))),
% 0.23/0.41 introduced(choice_axiom,[])).
% 0.23/0.41 thf(f10,plain,(
% 0.23/0.41 (! [X0] : ? [X1] : ! [X2] : ? [X3] : (((cQ @ X0 @ y) != $true) | (((cR @ X3) = $true) & ((cP @ X2 @ y @ X1) = $true))) | ! [X4] : ((cQ @ X4 @ y) != $true) | ? [X5] : (! [X6] : ((cP @ X6 @ y @ X5) = $true) & ? [X7] : ((cR @ X7) = $true))) & (? [X8] : ! [X9] : ? [X10] : ! [X11] : (($true = (cQ @ X8 @ y)) & (((cR @ X11) != $true) | ((cP @ X10 @ y @ X9) != $true))) | (? [X12] : ((cQ @ X12 @ y) = $true) & ! [X13] : (? [X14] : ((cP @ X14 @ y @ X13) != $true) | ! [X15] : ($true != (cR @ X15)))))),
% 0.23/0.41 inference(rectify,[],[f9])).
% 0.23/0.41 thf(f9,plain,(
% 0.23/0.41 (! [X0] : ? [X1] : ! [X2] : ? [X3] : (((cQ @ X0 @ y) != $true) | (((cR @ X3) = $true) & ((cP @ X2 @ y @ X1) = $true))) | ! [X4] : ((cQ @ X4 @ y) != $true) | ? [X5] : (! [X6] : ((cP @ X6 @ y @ X5) = $true) & ? [X7] : ((cR @ X7) = $true))) & (? [X0] : ! [X1] : ? [X2] : ! [X3] : (((cQ @ X0 @ y) = $true) & (((cR @ X3) != $true) | ((cP @ X2 @ y @ X1) != $true))) | (? [X4] : ((cQ @ X4 @ y) = $true) & ! [X5] : (? [X6] : ((cP @ X6 @ y @ X5) != $true) | ! [X7] : ((cR @ X7) != $true))))),
% 0.23/0.41 inference(flattening,[],[f8])).
% 0.23/0.41 thf(f8,plain,(
% 0.23/0.41 (! [X0] : ? [X1] : ! [X2] : ? [X3] : (((cQ @ X0 @ y) != $true) | (((cR @ X3) = $true) & ((cP @ X2 @ y @ X1) = $true))) | (! [X4] : ((cQ @ X4 @ y) != $true) | ? [X5] : (! [X6] : ((cP @ X6 @ y @ X5) = $true) & ? [X7] : ((cR @ X7) = $true)))) & (? [X0] : ! [X1] : ? [X2] : ! [X3] : (((cQ @ X0 @ y) = $true) & (((cR @ X3) != $true) | ((cP @ X2 @ y @ X1) != $true))) | (? [X4] : ((cQ @ X4 @ y) = $true) & ! [X5] : (? [X6] : ((cP @ X6 @ y @ X5) != $true) | ! [X7] : ((cR @ X7) != $true))))),
% 0.23/0.41 inference(nnf_transformation,[],[f7])).
% 0.23/0.41 thf(f7,plain,(
% 0.23/0.41 (? [X4] : ((cQ @ X4 @ y) = $true) & ! [X5] : (? [X6] : ((cP @ X6 @ y @ X5) != $true) | ! [X7] : ((cR @ X7) != $true))) <~> ? [X0] : ! [X1] : ? [X2] : ! [X3] : (((cQ @ X0 @ y) = $true) & (((cR @ X3) != $true) | ((cP @ X2 @ y @ X1) != $true)))),
% 0.23/0.41 inference(ennf_transformation,[],[f6])).
% 0.23/0.41 thf(f6,plain,(
% 0.23/0.41 ~(~(? [X4] : ((cQ @ X4 @ y) = $true) => ~! [X5] : (! [X6] : ((cP @ X6 @ y @ X5) = $true) => ~? [X7] : ((cR @ X7) = $true))) <=> ? [X0] : ! [X1] : ? [X2] : ! [X3] : ~(((cQ @ X0 @ y) = $true) => ~(((cP @ X2 @ y @ X1) = $true) => ((cR @ X3) != $true))))),
% 0.23/0.41 inference(flattening,[],[f5])).
% 0.23/0.41 thf(f5,plain,(
% 0.23/0.41 ~(? [X0] : ! [X1] : ? [X2] : ! [X3] : ~(((cQ @ X0 @ y) = $true) => ~(((cP @ X2 @ y @ X1) = $true) => ~((cR @ X3) = $true))) <=> ~(? [X4] : ((cQ @ X4 @ y) = $true) => ~! [X5] : (! [X6] : ((cP @ X6 @ y @ X5) = $true) => ~? [X7] : ((cR @ X7) = $true))))),
% 0.23/0.41 inference(fool_elimination,[],[f4])).
% 0.23/0.41 thf(f4,plain,(
% 0.23/0.41 ~(? [X0] : ! [X1] : ? [X2] : ! [X3] : ~((cQ @ X0 @ y) => ~((cP @ X2 @ y @ X1) => ~(cR @ X3))) <=> ~(? [X4] : (cQ @ X4 @ y) => ~! [X5] : (! [X6] : (cP @ X6 @ y @ X5) => ~? [X7] : (cR @ X7))))),
% 0.23/0.41 inference(rectify,[],[f2])).
% 0.23/0.41 thf(f2,negated_conjecture,(
% 0.23/0.41 ~(? [X0] : ! [X1] : ? [X2] : ! [X3] : ~((cQ @ X0 @ y) => ~((cP @ X2 @ y @ X1) => ~(cR @ X3))) <=> ~(? [X0] : (cQ @ X0 @ y) => ~! [X1] : (! [X2] : (cP @ X2 @ y @ X1) => ~? [X3] : (cR @ X3))))),
% 0.23/0.41 inference(negated_conjecture,[],[f1])).
% 0.23/0.41 thf(f1,conjecture,(
% 0.23/0.41 ? [X0] : ! [X1] : ? [X2] : ! [X3] : ~((cQ @ X0 @ y) => ~((cP @ X2 @ y @ X1) => ~(cR @ X3))) <=> ~(? [X0] : (cQ @ X0 @ y) => ~! [X1] : (! [X2] : (cP @ X2 @ y @ X1) => ~? [X3] : (cR @ X3)))),
% 0.23/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX2201TEST)).
% 0.23/0.41 thf(f62,plain,(
% 0.23/0.41 spl8_3 | spl8_7 | spl8_1),
% 0.23/0.41 inference(avatar_split_clause,[],[f27,f29,f52,f35])).
% 0.23/0.41 thf(f27,plain,(
% 0.23/0.41 ( ! [X2 : $i,X0 : $i,X6 : $i,X4 : $i] : (((cR @ (sK1 @ X2 @ X0)) = $true) | ((cQ @ X4 @ y) != $true) | ($true = (cP @ X6 @ y @ sK2)) | ((cQ @ X0 @ y) != $true)) )),
% 0.23/0.41 inference(cnf_transformation,[],[f19])).
% 0.23/0.41 thf(f54,plain,(
% 0.23/0.41 spl8_6 | spl8_7 | spl8_1),
% 0.23/0.41 inference(avatar_split_clause,[],[f26,f29,f52,f48])).
% 0.23/0.41 thf(f26,plain,(
% 0.23/0.41 ( ! [X2 : $i,X0 : $i,X4 : $i] : (((cQ @ X0 @ y) != $true) | ((cR @ (sK1 @ X2 @ X0)) = $true) | ((cQ @ X4 @ y) != $true) | ((cR @ sK3) = $true)) )),
% 0.23/0.41 inference(cnf_transformation,[],[f19])).
% 0.23/0.41 thf(f46,plain,(
% 0.23/0.41 spl8_4 | spl8_5),
% 0.23/0.41 inference(avatar_split_clause,[],[f23,f43,f39])).
% 0.23/0.41 thf(f23,plain,(
% 0.23/0.41 ((cQ @ sK6 @ y) = $true) | ((cQ @ sK4 @ y) = $true)),
% 0.23/0.41 inference(cnf_transformation,[],[f19])).
% 0.23/0.41 thf(f37,plain,(
% 0.23/0.41 spl8_1 | spl8_2 | spl8_3),
% 0.23/0.41 inference(avatar_split_clause,[],[f25,f35,f32,f29])).
% 0.23/0.41 thf(f25,plain,(
% 0.23/0.41 ( ! [X2 : $i,X0 : $i,X6 : $i,X4 : $i] : (($true = (cP @ X6 @ y @ sK2)) | ((cQ @ X0 @ y) != $true) | ((cQ @ X4 @ y) != $true) | ((cP @ X2 @ y @ (sK0 @ X0)) = $true)) )),
% 0.23/0.41 inference(cnf_transformation,[],[f19])).
% 0.23/0.41 % SZS output end Proof for theBenchmark
% 0.23/0.41 % (24895)------------------------------
% 0.23/0.41 % (24895)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (24895)Termination reason: Refutation
% 0.23/0.41
% 0.23/0.41 % (24895)Memory used [KB]: 5628
% 0.23/0.41 % (24895)Time elapsed: 0.015 s
% 0.23/0.41 % (24895)Instructions burned: 6 (million)
% 0.23/0.41 % (24895)------------------------------
% 0.23/0.41 % (24895)------------------------------
% 0.23/0.41 % (24894)Success in time 0.037 s
% 0.23/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------