TSTP Solution File: PUZ107^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PUZ107^5 : TPTP v8.2.0. Bugfixed v6.2.0.
% 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 02:28:36 EDT 2024
% Result : Theorem 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15 % Problem : PUZ107^5 : TPTP v8.2.0. Bugfixed v6.2.0.
% 0.07/0.17 % 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
% 0.15/0.38 % Computer : n027.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Sat May 18 10:56:38 EDT 2024
% 0.15/0.38 % CPUTime :
% 0.15/0.38 This is a TH0_THM_EQU_NAR problem
% 0.15/0.38 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
% 0.21/0.41 % (29824)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.41 % (29825)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)
% 0.21/0.41 % (29826)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)
% 0.21/0.41 % (29829)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)
% 0.21/0.41 % (29830)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.41 % (29831)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)
% 0.21/0.41 % (29828)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)
% 0.21/0.41 % (29831)Instruction limit reached!
% 0.21/0.41 % (29831)------------------------------
% 0.21/0.41 % (29831)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (29831)Termination reason: Unknown
% 0.21/0.41 % (29831)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (29831)Memory used [KB]: 895
% 0.21/0.41 % (29831)Time elapsed: 0.005 s
% 0.21/0.41 % (29831)Instructions burned: 3 (million)
% 0.21/0.41 % (29831)------------------------------
% 0.21/0.41 % (29831)------------------------------
% 0.21/0.41 % (29825)Instruction limit reached!
% 0.21/0.41 % (29825)------------------------------
% 0.21/0.41 % (29825)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (29825)Termination reason: Unknown
% 0.21/0.41 % (29825)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (29825)Memory used [KB]: 1023
% 0.21/0.41 % (29825)Time elapsed: 0.006 s
% 0.21/0.41 % (29825)Instructions burned: 4 (million)
% 0.21/0.41 % (29825)------------------------------
% 0.21/0.41 % (29825)------------------------------
% 0.21/0.42 % (29829)Refutation not found, incomplete strategy
% 0.21/0.42 % (29829)------------------------------
% 0.21/0.42 % (29829)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (29829)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42
% 0.21/0.42
% 0.21/0.42 % (29829)Memory used [KB]: 5500
% 0.21/0.42 % (29829)Time elapsed: 0.007 s
% 0.21/0.42 % (29829)Instructions burned: 4 (million)
% 0.21/0.42 % (29829)------------------------------
% 0.21/0.42 % (29829)------------------------------
% 0.21/0.42 % (29827)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.42 % (29827)Instruction limit reached!
% 0.21/0.42 % (29827)------------------------------
% 0.21/0.42 % (29827)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (29827)Termination reason: Unknown
% 0.21/0.42 % (29827)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (29827)Memory used [KB]: 1023
% 0.21/0.42 % (29827)Time elapsed: 0.003 s
% 0.21/0.42 % (29827)Instructions burned: 3 (million)
% 0.21/0.42 % (29827)------------------------------
% 0.21/0.42 % (29827)------------------------------
% 0.21/0.42 % (29828)Instruction limit reached!
% 0.21/0.42 % (29828)------------------------------
% 0.21/0.42 % (29828)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (29828)Termination reason: Unknown
% 0.21/0.42 % (29828)Termination phase: Preprocessing 3
% 0.21/0.42
% 0.21/0.42 % (29828)Memory used [KB]: 895
% 0.21/0.42 % (29828)Time elapsed: 0.005 s
% 0.21/0.42 % (29828)Instructions burned: 3 (million)
% 0.21/0.42 % (29828)------------------------------
% 0.21/0.42 % (29828)------------------------------
% 0.21/0.42 % (29824)First to succeed.
% 0.21/0.43 % (29826)Also succeeded, but the first one will report.
% 0.21/0.43 % (29824)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Theorem for theBenchmark
% 0.21/0.43 % SZS output start Proof for theBenchmark
% 0.21/0.43 thf(func_def_1, type, cCKB_FIN: ($i > $i > $o) > $o).
% 0.21/0.43 thf(func_def_2, type, cCKB_INF: ($i > $i > $o) > $o).
% 0.21/0.43 thf(func_def_3, type, cCKB_INJ: ($i > $i > $i > $i > $o) > $o).
% 0.21/0.43 thf(func_def_4, type, cCKB_XPL: ($i > $i > $i > $i > $o) > ($i > $i > $o) > $i > $i > $o).
% 0.21/0.43 thf(func_def_26, type, sK1: $i > $i > $i > $i > $o).
% 0.21/0.43 thf(func_def_29, type, sK4: $i > $i > $i).
% 0.21/0.43 thf(func_def_30, type, sK5: $i > $i > $i).
% 0.21/0.43 thf(f99,plain,(
% 0.21/0.43 $false),
% 0.21/0.43 inference(avatar_sat_refutation,[],[f96,f98])).
% 0.21/0.43 thf(f98,plain,(
% 0.21/0.43 ~spl0_1),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f97])).
% 0.21/0.43 thf(f97,plain,(
% 0.21/0.43 $false | ~spl0_1),
% 0.21/0.43 inference(equality_resolution,[],[f95])).
% 0.21/0.43 thf(f95,plain,(
% 0.21/0.43 ( ! [X1 : $i] : ((c1 != X1)) ) | ~spl0_1),
% 0.21/0.43 inference(avatar_component_clause,[],[f94])).
% 0.21/0.43 thf(f94,plain,(
% 0.21/0.43 spl0_1 <=> ! [X1] : (c1 != X1)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.21/0.43 thf(f96,plain,(
% 0.21/0.43 spl0_1 | spl0_1),
% 0.21/0.43 inference(avatar_split_clause,[],[f92,f94,f94])).
% 0.21/0.43 thf(f92,plain,(
% 0.21/0.43 ( ! [X0 : $i,X1 : $i] : ((c1 != X1) | (c1 != X0)) )),
% 0.21/0.43 inference(subsumption_resolution,[],[f91,f60])).
% 0.21/0.43 thf(f60,plain,(
% 0.21/0.43 (c1 = sK3)),
% 0.21/0.43 inference(equality_proxy_clausification,[],[f59])).
% 0.21/0.43 thf(f59,plain,(
% 0.21/0.43 ($true = (c1 = sK3))),
% 0.21/0.43 inference(binary_proxy_clausification,[],[f57])).
% 0.21/0.43 thf(f57,plain,(
% 0.21/0.43 ($true = ((c1 = sK3) & (c1 = sK2)))),
% 0.21/0.43 inference(binary_proxy_clausification,[],[f35])).
% 0.21/0.43 thf(f35,plain,(
% 0.21/0.43 ($true = (((c1 = sK3) & (c1 = sK2)) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((c1 = Y0) & (c1 = Y1)) => (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((((c1 = Y3) & (c1 = Y2)) & (~ ((sK2 = Y2) & (sK3 = Y3)))) & (sK1 @ Y0 @ Y1 @ Y3 @ Y2)))))))))))))),
% 0.21/0.43 inference(binary_proxy_clausification,[],[f34])).
% 0.21/0.43 thf(f34,plain,(
% 0.21/0.43 ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((sK1 @ Y2 @ Y3 @ Y0 @ Y5) & (sK1 @ Y1 @ Y4 @ Y0 @ Y5)) => ((Y4 = Y3) & (Y2 = Y1))))))))))))))) & (((c1 = sK3) & (c1 = sK2)) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((c1 = Y0) & (c1 = Y1)) => (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((((c1 = Y3) & (c1 = Y2)) & (~ ((sK2 = Y2) & (sK3 = Y3)))) & (sK1 @ Y0 @ Y1 @ Y3 @ Y2))))))))))))))),
% 0.21/0.43 inference(beta_eta_normalization,[],[f33])).
% 0.21/0.43 thf(f33,plain,(
% 0.21/0.43 ($true = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((sK1 @ Y3 @ Y4 @ Y1 @ Y6) & (sK1 @ Y2 @ Y5 @ Y1 @ Y6)) => ((Y5 = Y4) & (Y3 = Y2))))))))))))))) & (((c1 = Y0) & (c1 = sK2)) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((c1 = Y1) & (c1 = Y2)) => (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((((c1 = Y4) & (c1 = Y3)) & (~ ((sK2 = Y3) & (Y0 = Y4)))) & (sK1 @ Y1 @ Y2 @ Y4 @ Y3)))))))))))))) @ sK3))),
% 0.21/0.43 inference(sigma_clausification,[],[f32])).
% 0.21/0.43 thf(f32,plain,(
% 0.21/0.43 ($true = (?? @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((sK1 @ Y3 @ Y4 @ Y1 @ Y6) & (sK1 @ Y2 @ Y5 @ Y1 @ Y6)) => ((Y5 = Y4) & (Y3 = Y2))))))))))))))) & (((c1 = Y0) & (c1 = sK2)) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((c1 = Y1) & (c1 = Y2)) => (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((((c1 = Y4) & (c1 = Y3)) & (~ ((sK2 = Y3) & (Y0 = Y4)))) & (sK1 @ Y1 @ Y2 @ Y4 @ Y3))))))))))))))))),
% 0.21/0.43 inference(beta_eta_normalization,[],[f31])).
% 0.21/0.43 thf(f31,plain,(
% 0.21/0.43 ($true = ((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((sK1 @ Y4 @ Y5 @ Y2 @ Y7) & (sK1 @ Y3 @ Y6 @ Y2 @ Y7)) => ((Y6 = Y5) & (Y4 = Y3))))))))))))))) & (((c1 = Y1) & (c1 = Y0)) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((c1 = Y2) & (c1 = Y3)) => (?? @ $i @ (^[Y4 : $i]: (?? @ $i @ (^[Y5 : $i]: ((((c1 = Y5) & (c1 = Y4)) & (~ ((Y0 = Y4) & (Y1 = Y5)))) & (sK1 @ Y2 @ Y3 @ Y5 @ Y4)))))))))))))))) @ sK2))),
% 0.21/0.43 inference(sigma_clausification,[],[f30])).
% 0.21/0.43 thf(f30,plain,(
% 0.21/0.43 ($true = (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((sK1 @ Y4 @ Y5 @ Y2 @ Y7) & (sK1 @ Y3 @ Y6 @ Y2 @ Y7)) => ((Y6 = Y5) & (Y4 = Y3))))))))))))))) & (((c1 = Y1) & (c1 = Y0)) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((c1 = Y2) & (c1 = Y3)) => (?? @ $i @ (^[Y4 : $i]: (?? @ $i @ (^[Y5 : $i]: ((((c1 = Y5) & (c1 = Y4)) & (~ ((Y0 = Y4) & (Y1 = Y5)))) & (sK1 @ Y2 @ Y3 @ Y5 @ Y4))))))))))))))))))),
% 0.21/0.43 inference(beta_eta_normalization,[],[f29])).
% 0.21/0.43 thf(f29,plain,(
% 0.21/0.43 ($true = ((^[Y0 : $i > $i > $i > $i > $o]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y0 @ Y5 @ Y6 @ Y3 @ Y8) & (Y0 @ Y4 @ Y7 @ Y3 @ Y8)) => ((Y7 = Y6) & (Y5 = Y4))))))))))))))) & (((c1 = Y2) & (c1 = Y1)) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((c1 = Y3) & (c1 = Y4)) => (?? @ $i @ (^[Y5 : $i]: (?? @ $i @ (^[Y6 : $i]: ((((c1 = Y6) & (c1 = Y5)) & (~ ((Y1 = Y5) & (Y2 = Y6)))) & (Y0 @ Y3 @ Y4 @ Y6 @ Y5)))))))))))))))))) @ sK1))),
% 0.21/0.43 inference(sigma_clausification,[],[f28])).
% 0.21/0.43 thf(f28,plain,(
% 0.21/0.43 ($true = (?? @ ($i > $i > $i > $i > $o) @ (^[Y0 : $i > $i > $i > $i > $o]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y0 @ Y5 @ Y6 @ Y3 @ Y8) & (Y0 @ Y4 @ Y7 @ Y3 @ Y8)) => ((Y7 = Y6) & (Y5 = Y4))))))))))))))) & (((c1 = Y2) & (c1 = Y1)) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((c1 = Y3) & (c1 = Y4)) => (?? @ $i @ (^[Y5 : $i]: (?? @ $i @ (^[Y6 : $i]: ((((c1 = Y6) & (c1 = Y5)) & (~ ((Y1 = Y5) & (Y2 = Y6)))) & (Y0 @ Y3 @ Y4 @ Y6 @ Y5))))))))))))))))))))),
% 0.21/0.43 inference(not_proxy_clausification,[],[f27])).
% 0.21/0.43 thf(f27,plain,(
% 0.21/0.43 ($true != (~ (?? @ ($i > $i > $i > $i > $o) @ (^[Y0 : $i > $i > $i > $i > $o]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y0 @ Y5 @ Y6 @ Y3 @ Y8) & (Y0 @ Y4 @ Y7 @ Y3 @ Y8)) => ((Y7 = Y6) & (Y5 = Y4))))))))))))))) & (((c1 = Y2) & (c1 = Y1)) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((c1 = Y3) & (c1 = Y4)) => (?? @ $i @ (^[Y5 : $i]: (?? @ $i @ (^[Y6 : $i]: ((((c1 = Y6) & (c1 = Y5)) & (~ ((Y1 = Y5) & (Y2 = Y6)))) & (Y0 @ Y3 @ Y4 @ Y6 @ Y5)))))))))))))))))))))),
% 0.21/0.43 inference(beta_eta_normalization,[],[f26])).
% 0.21/0.43 thf(f26,plain,(
% 0.21/0.43 ($true != ((^[Y0 : $i > $i > $o]: (~ ((^[Y1 : $i > $i > $o]: (?? @ ($i > $i > $i > $i > $o) @ (^[Y2 : $i > $i > $i > $i > $o]: (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: (((^[Y5 : $i > $i > $i > $i > $o]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: (((Y5 @ Y8 @ Y9 @ Y6 @ Y11) & (Y5 @ Y7 @ Y10 @ Y6 @ Y11)) => ((Y10 = Y9) & (Y8 = Y7)))))))))))))))) @ Y2) & ((^[Y5 : $i > $i > $i > $i > $o]: ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((Y6 @ Y7 @ Y8) & (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: ((Y6 @ Y9 @ Y10) => (?? @ $i @ (^[Y11 : $i]: (?? @ $i @ (^[Y12 : $i]: (((Y6 @ Y12 @ Y11) & (~ ((Y8 = Y11) & (Y7 = Y12)))) & (Y5 @ Y9 @ Y10 @ Y12 @ Y11))))))))))))))))))) @ Y2 @ Y1 @ Y4 @ Y3))))))))) @ Y0))) @ (^[Y0 : $i]: ((^[Y1 : $i]: ((c1 = Y0) & (c1 = Y1)))))))),
% 0.21/0.43 inference(definition_unfolding,[],[f21,f25])).
% 0.21/0.43 thf(f25,plain,(
% 0.21/0.43 (cCKB_FIN = (^[Y0 : $i > $i > $o]: (~ ((^[Y1 : $i > $i > $o]: (?? @ ($i > $i > $i > $i > $o) @ (^[Y2 : $i > $i > $i > $i > $o]: (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: (((^[Y5 : $i > $i > $i > $i > $o]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: (((Y5 @ Y8 @ Y9 @ Y6 @ Y11) & (Y5 @ Y7 @ Y10 @ Y6 @ Y11)) => ((Y10 = Y9) & (Y8 = Y7)))))))))))))))) @ Y2) & ((^[Y5 : $i > $i > $i > $i > $o]: ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((Y6 @ Y7 @ Y8) & (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: ((Y6 @ Y9 @ Y10) => (?? @ $i @ (^[Y11 : $i]: (?? @ $i @ (^[Y12 : $i]: (((Y6 @ Y12 @ Y11) & (~ ((Y8 = Y11) & (Y7 = Y12)))) & (Y5 @ Y9 @ Y10 @ Y12 @ Y11))))))))))))))))))) @ Y2 @ Y1 @ Y4 @ Y3))))))))) @ Y0))))),
% 0.21/0.43 inference(definition_unfolding,[],[f22,f24])).
% 0.21/0.43 thf(f24,plain,(
% 0.21/0.43 (cCKB_INF = (^[Y0 : $i > $i > $o]: (?? @ ($i > $i > $i > $i > $o) @ (^[Y1 : $i > $i > $i > $i > $o]: (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (((^[Y4 : $i > $i > $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y4 @ Y7 @ Y8 @ Y5 @ Y10) & (Y4 @ Y6 @ Y9 @ Y5 @ Y10)) => ((Y9 = Y8) & (Y7 = Y6)))))))))))))))) @ Y1) & ((^[Y4 : $i > $i > $i > $i > $o]: ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((Y5 @ Y6 @ Y7) & (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y5 @ Y8 @ Y9) => (?? @ $i @ (^[Y10 : $i]: (?? @ $i @ (^[Y11 : $i]: (((Y5 @ Y11 @ Y10) & (~ ((Y7 = Y10) & (Y6 = Y11)))) & (Y4 @ Y8 @ Y9 @ Y11 @ Y10))))))))))))))))))) @ Y1 @ Y0 @ Y3 @ Y2))))))))))),
% 0.21/0.43 inference(definition_unfolding,[],[f19,f20,f23])).
% 0.21/0.43 thf(f23,plain,(
% 0.21/0.43 (cCKB_XPL = (^[Y0 : $i > $i > $i > $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((Y1 @ Y2 @ Y3) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y1 @ Y4 @ Y5) => (?? @ $i @ (^[Y6 : $i]: (?? @ $i @ (^[Y7 : $i]: (((Y1 @ Y7 @ Y6) & (~ ((Y3 = Y6) & (Y2 = Y7)))) & (Y0 @ Y4 @ Y5 @ Y7 @ Y6))))))))))))))))))))),
% 0.21/0.43 inference(cnf_transformation,[],[f11])).
% 0.21/0.43 thf(f11,plain,(
% 0.21/0.43 (cCKB_XPL = (^[Y0 : $i > $i > $i > $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((Y1 @ Y2 @ Y3) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y1 @ Y4 @ Y5) => (?? @ $i @ (^[Y6 : $i]: (?? @ $i @ (^[Y7 : $i]: (((Y1 @ Y7 @ Y6) & (~ ((Y3 = Y6) & (Y2 = Y7)))) & (Y0 @ Y4 @ Y5 @ Y7 @ Y6))))))))))))))))))))),
% 0.21/0.43 inference(fool_elimination,[],[f10])).
% 0.21/0.43 thf(f10,plain,(
% 0.21/0.43 (cCKB_XPL = (^[X0 : $i > $i > $i > $i > $o, X1 : $i > $i > $o, X2 : $i, X3 : $i] : (! [X4,X5] : ((X1 @ X5 @ X4) => ? [X6,X7] : ((X0 @ X5 @ X4 @ X6 @ X7) & ~((X2 = X6) & (X3 = X7)) & (X1 @ X6 @ X7))) & (X1 @ X2 @ X3))))),
% 0.21/0.43 inference(rectify,[],[f2])).
% 0.21/0.43 thf(f2,axiom,(
% 0.21/0.43 (cCKB_XPL = (^[X0 : $i > $i > $i > $i > $o, X7 : $i > $i > $o, X8 : $i, X9 : $i] : (! [X11,X10] : ((X7 @ X10 @ X11) => ? [X5,X6] : ((X0 @ X10 @ X11 @ X5 @ X6) & ~((X5 = X8) & (X6 = X9)) & (X7 @ X5 @ X6))) & (X7 @ X8 @ X9))))),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCKB_XPL_def)).
% 0.21/0.43 thf(f20,plain,(
% 0.21/0.43 (cCKB_INJ = (^[Y0 : $i > $i > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y0 @ Y3 @ Y4 @ Y1 @ Y6) & (Y0 @ Y2 @ Y5 @ Y1 @ Y6)) => ((Y5 = Y4) & (Y3 = Y2)))))))))))))))))),
% 0.21/0.43 inference(cnf_transformation,[],[f9])).
% 0.21/0.43 thf(f9,plain,(
% 0.21/0.43 (cCKB_INJ = (^[Y0 : $i > $i > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y0 @ Y3 @ Y4 @ Y1 @ Y6) & (Y0 @ Y2 @ Y5 @ Y1 @ Y6)) => ((Y5 = Y4) & (Y3 = Y2)))))))))))))))))),
% 0.21/0.43 inference(fool_elimination,[],[f8])).
% 0.21/0.43 thf(f8,plain,(
% 0.21/0.43 ((^[X0 : $i > $i > $i > $i > $o] : (! [X1,X2,X3,X4,X5,X6] : (((X0 @ X5 @ X2 @ X6 @ X1) & (X0 @ X4 @ X3 @ X6 @ X1)) => ((X4 = X5) & (X2 = X3))))) = cCKB_INJ)),
% 0.21/0.43 inference(rectify,[],[f1])).
% 0.21/0.43 thf(f1,axiom,(
% 0.21/0.43 ((^[X0 : $i > $i > $i > $i > $o] : (! [X6,X4,X2,X1,X3,X5] : (((X0 @ X3 @ X4 @ X5 @ X6) & (X0 @ X1 @ X2 @ X5 @ X6)) => ((X1 = X3) & (X2 = X4))))) = cCKB_INJ)),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCKB_INJ_def)).
% 0.21/0.43 thf(f19,plain,(
% 0.21/0.43 (cCKB_INF = (^[Y0 : $i > $i > $o]: (?? @ ($i > $i > $i > $i > $o) @ (^[Y1 : $i > $i > $i > $i > $o]: (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((cCKB_INJ @ Y1) & (cCKB_XPL @ Y1 @ Y0 @ Y3 @ Y2))))))))))),
% 0.21/0.43 inference(cnf_transformation,[],[f15])).
% 0.21/0.43 thf(f15,plain,(
% 0.21/0.43 (cCKB_INF = (^[Y0 : $i > $i > $o]: (?? @ ($i > $i > $i > $i > $o) @ (^[Y1 : $i > $i > $i > $i > $o]: (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((cCKB_INJ @ Y1) & (cCKB_XPL @ Y1 @ Y0 @ Y3 @ Y2))))))))))),
% 0.21/0.43 inference(fool_elimination,[],[f14])).
% 0.21/0.43 thf(f14,plain,(
% 0.21/0.43 (cCKB_INF = (^[X0 : $i > $i > $o] : (? [X1,X2,X3 : $i > $i > $i > $i > $o] : ((cCKB_XPL @ X3 @ X0 @ X1 @ X2) & (cCKB_INJ @ X3)))))),
% 0.21/0.43 inference(rectify,[],[f3])).
% 0.21/0.43 thf(f3,axiom,(
% 0.21/0.43 (cCKB_INF = (^[X7 : $i > $i > $o] : (? [X8,X9,X0 : $i > $i > $i > $i > $o] : ((cCKB_XPL @ X0 @ X7 @ X8 @ X9) & (cCKB_INJ @ X0)))))),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCKB_INF_def)).
% 0.21/0.43 thf(f22,plain,(
% 0.21/0.43 (cCKB_FIN = (^[Y0 : $i > $i > $o]: (~ (cCKB_INF @ Y0))))),
% 0.21/0.43 inference(cnf_transformation,[],[f17])).
% 0.21/0.43 thf(f17,plain,(
% 0.21/0.43 (cCKB_FIN = (^[Y0 : $i > $i > $o]: (~ (cCKB_INF @ Y0))))),
% 0.21/0.43 inference(fool_elimination,[],[f16])).
% 0.21/0.43 thf(f16,plain,(
% 0.21/0.43 (cCKB_FIN = (^[X0 : $i > $i > $o] : (~(cCKB_INF @ X0))))),
% 0.21/0.43 inference(rectify,[],[f4])).
% 0.21/0.43 thf(f4,axiom,(
% 0.21/0.43 (cCKB_FIN = (^[X7 : $i > $i > $o] : (~(cCKB_INF @ X7))))),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCKB_FIN_def)).
% 0.21/0.43 thf(f21,plain,(
% 0.21/0.43 ($true != (cCKB_FIN @ (^[Y0 : $i]: ((^[Y1 : $i]: ((c1 = Y0) & (c1 = Y1)))))))),
% 0.21/0.43 inference(cnf_transformation,[],[f18])).
% 0.21/0.43 thf(f18,plain,(
% 0.21/0.43 ($true != (cCKB_FIN @ (^[Y0 : $i]: ((^[Y1 : $i]: ((c1 = Y0) & (c1 = Y1)))))))),
% 0.21/0.43 inference(flattening,[],[f13])).
% 0.21/0.43 thf(f13,plain,(
% 0.21/0.43 ~($true = (cCKB_FIN @ (^[Y0 : $i]: ((^[Y1 : $i]: ((c1 = Y0) & (c1 = Y1)))))))),
% 0.21/0.43 inference(fool_elimination,[],[f12])).
% 0.21/0.43 thf(f12,plain,(
% 0.21/0.43 ~(cCKB_FIN @ (^[X0 : $i, X1 : $i] : ((c1 = X1) & (c1 = X0))))),
% 0.21/0.43 inference(rectify,[],[f6])).
% 0.21/0.43 thf(f6,negated_conjecture,(
% 0.21/0.43 ~(cCKB_FIN @ (^[X5 : $i, X6 : $i] : ((c1 = X6) & (c1 = X5))))),
% 0.21/0.43 inference(negated_conjecture,[],[f5])).
% 0.21/0.43 thf(f5,conjecture,(
% 0.21/0.43 (cCKB_FIN @ (^[X5 : $i, X6 : $i] : ((c1 = X6) & (c1 = X5))))),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cL3000)).
% 0.21/0.43 thf(f91,plain,(
% 0.21/0.43 ( ! [X0 : $i,X1 : $i] : ((c1 != X0) | (c1 != sK3) | (c1 != X1)) )),
% 0.21/0.43 inference(duplicate_literal_removal,[],[f90])).
% 0.21/0.43 thf(f90,plain,(
% 0.21/0.43 ( ! [X0 : $i,X1 : $i] : ((c1 != X0) | (c1 != sK3) | (c1 != X0) | (c1 != X1) | (c1 != X1)) )),
% 0.21/0.43 inference(superposition,[],[f89,f80])).
% 0.21/0.43 thf(f80,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : ((c1 = (sK5 @ X1 @ X2)) | (c1 != X1) | (c1 != X2)) )),
% 0.21/0.43 inference(equality_proxy_clausification,[],[f79])).
% 0.21/0.43 thf(f79,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : (($true = (c1 = (sK5 @ X1 @ X2))) | (c1 != X1) | (c1 != X2)) )),
% 0.21/0.43 inference(binary_proxy_clausification,[],[f77])).
% 0.21/0.43 thf(f77,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : ((c1 != X1) | ($true = ((c1 = (sK5 @ X1 @ X2)) & (c1 = (sK4 @ X1 @ X2)))) | (c1 != X2)) )),
% 0.21/0.43 inference(binary_proxy_clausification,[],[f75])).
% 0.21/0.43 thf(f75,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : (($true = (((c1 = (sK5 @ X1 @ X2)) & (c1 = (sK4 @ X1 @ X2))) & (~ ((sK2 = (sK4 @ X1 @ X2)) & (sK3 = (sK5 @ X1 @ X2)))))) | (c1 != X1) | (c1 != X2)) )),
% 0.21/0.43 inference(binary_proxy_clausification,[],[f73])).
% 0.21/0.43 thf(f73,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : ((c1 != X2) | ($true = ((((c1 = (sK5 @ X1 @ X2)) & (c1 = (sK4 @ X1 @ X2))) & (~ ((sK2 = (sK4 @ X1 @ X2)) & (sK3 = (sK5 @ X1 @ X2))))) & (sK1 @ X1 @ X2 @ (sK5 @ X1 @ X2) @ (sK4 @ X1 @ X2)))) | (c1 != X1)) )),
% 0.21/0.43 inference(equality_proxy_clausification,[],[f72])).
% 0.21/0.43 thf(f72,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : ((c1 != X2) | ((c1 = X1) = $false) | ($true = ((((c1 = (sK5 @ X1 @ X2)) & (c1 = (sK4 @ X1 @ X2))) & (~ ((sK2 = (sK4 @ X1 @ X2)) & (sK3 = (sK5 @ X1 @ X2))))) & (sK1 @ X1 @ X2 @ (sK5 @ X1 @ X2) @ (sK4 @ X1 @ X2))))) )),
% 0.21/0.43 inference(beta_eta_normalization,[],[f71])).
% 0.21/0.43 thf(f71,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : (((c1 = X1) = $false) | ($true = ((^[Y0 : $i]: ((((c1 = Y0) & (c1 = (sK4 @ X1 @ X2))) & (~ ((sK2 = (sK4 @ X1 @ X2)) & (sK3 = Y0)))) & (sK1 @ X1 @ X2 @ Y0 @ (sK4 @ X1 @ X2)))) @ (sK5 @ X1 @ X2))) | (c1 != X2)) )),
% 0.21/0.43 inference(sigma_clausification,[],[f70])).
% 0.21/0.43 thf(f70,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : ((c1 != X2) | ($true = (?? @ $i @ (^[Y0 : $i]: ((((c1 = Y0) & (c1 = (sK4 @ X1 @ X2))) & (~ ((sK2 = (sK4 @ X1 @ X2)) & (sK3 = Y0)))) & (sK1 @ X1 @ X2 @ Y0 @ (sK4 @ X1 @ X2)))))) | ((c1 = X1) = $false)) )),
% 0.21/0.43 inference(equality_proxy_clausification,[],[f69])).
% 0.21/0.43 thf(f69,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : (((c1 = X2) = $false) | ($true = (?? @ $i @ (^[Y0 : $i]: ((((c1 = Y0) & (c1 = (sK4 @ X1 @ X2))) & (~ ((sK2 = (sK4 @ X1 @ X2)) & (sK3 = Y0)))) & (sK1 @ X1 @ X2 @ Y0 @ (sK4 @ X1 @ X2)))))) | ((c1 = X1) = $false)) )),
% 0.21/0.43 inference(binary_proxy_clausification,[],[f68])).
% 0.21/0.43 thf(f68,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : (($false = ((c1 = X1) & (c1 = X2))) | ($true = (?? @ $i @ (^[Y0 : $i]: ((((c1 = Y0) & (c1 = (sK4 @ X1 @ X2))) & (~ ((sK2 = (sK4 @ X1 @ X2)) & (sK3 = Y0)))) & (sK1 @ X1 @ X2 @ Y0 @ (sK4 @ X1 @ X2))))))) )),
% 0.21/0.43 inference(beta_eta_normalization,[],[f67])).
% 0.21/0.43 thf(f67,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((((c1 = Y1) & (c1 = Y0)) & (~ ((sK2 = Y0) & (sK3 = Y1)))) & (sK1 @ X1 @ X2 @ Y1 @ Y0))))) @ (sK4 @ X1 @ X2))) | ($false = ((c1 = X1) & (c1 = X2)))) )),
% 0.21/0.43 inference(sigma_clausification,[],[f66])).
% 0.21/0.43 thf(f66,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : (($true = (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((((c1 = Y1) & (c1 = Y0)) & (~ ((sK2 = Y0) & (sK3 = Y1)))) & (sK1 @ X1 @ X2 @ Y1 @ Y0))))))) | ($false = ((c1 = X1) & (c1 = X2)))) )),
% 0.21/0.43 inference(binary_proxy_clausification,[],[f65])).
% 0.21/0.43 thf(f65,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : (($true = (((c1 = X1) & (c1 = X2)) => (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((((c1 = Y1) & (c1 = Y0)) & (~ ((sK2 = Y0) & (sK3 = Y1)))) & (sK1 @ X1 @ X2 @ Y1 @ Y0))))))))) )),
% 0.21/0.43 inference(beta_eta_normalization,[],[f64])).
% 0.21/0.43 thf(f64,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((c1 = X1) & (c1 = Y0)) => (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((((c1 = Y2) & (c1 = Y1)) & (~ ((sK2 = Y1) & (sK3 = Y2)))) & (sK1 @ X1 @ Y0 @ Y2 @ Y1)))))))) @ X2))) )),
% 0.21/0.43 inference(pi_clausification,[],[f63])).
% 0.21/0.43 thf(f63,plain,(
% 0.21/0.43 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((c1 = X1) & (c1 = Y0)) => (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((((c1 = Y2) & (c1 = Y1)) & (~ ((sK2 = Y1) & (sK3 = Y2)))) & (sK1 @ X1 @ Y0 @ Y2 @ Y1))))))))))) )),
% 0.21/0.43 inference(beta_eta_normalization,[],[f62])).
% 0.21/0.43 thf(f62,plain,(
% 0.21/0.43 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((c1 = Y0) & (c1 = Y1)) => (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((((c1 = Y3) & (c1 = Y2)) & (~ ((sK2 = Y2) & (sK3 = Y3)))) & (sK1 @ Y0 @ Y1 @ Y3 @ Y2)))))))))) @ X1) = $true)) )),
% 0.21/0.43 inference(pi_clausification,[],[f56])).
% 0.21/0.43 thf(f56,plain,(
% 0.21/0.43 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((c1 = Y0) & (c1 = Y1)) => (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((((c1 = Y3) & (c1 = Y2)) & (~ ((sK2 = Y2) & (sK3 = Y3)))) & (sK1 @ Y0 @ Y1 @ Y3 @ Y2))))))))))))),
% 0.21/0.43 inference(binary_proxy_clausification,[],[f35])).
% 0.21/0.43 thf(f89,plain,(
% 0.21/0.43 ( ! [X0 : $i,X1 : $i] : ((sK3 != (sK5 @ X0 @ X1)) | (c1 != X1) | (c1 != X0)) )),
% 0.21/0.43 inference(subsumption_resolution,[],[f88,f61])).
% 0.21/0.43 thf(f61,plain,(
% 0.21/0.43 (c1 = sK2)),
% 0.21/0.43 inference(equality_proxy_clausification,[],[f58])).
% 0.21/0.43 thf(f58,plain,(
% 0.21/0.43 ($true = (c1 = sK2))),
% 0.21/0.43 inference(binary_proxy_clausification,[],[f57])).
% 0.21/0.43 thf(f88,plain,(
% 0.21/0.43 ( ! [X0 : $i,X1 : $i] : ((c1 != X0) | (sK3 != (sK5 @ X0 @ X1)) | (c1 != sK2) | (c1 != X1)) )),
% 0.21/0.43 inference(duplicate_literal_removal,[],[f87])).
% 0.21/0.43 thf(f87,plain,(
% 0.21/0.43 ( ! [X0 : $i,X1 : $i] : ((c1 != sK2) | (c1 != X0) | (c1 != X1) | (c1 != X1) | (sK3 != (sK5 @ X0 @ X1)) | (c1 != X0)) )),
% 0.21/0.43 inference(superposition,[],[f85,f81])).
% 0.21/0.43 thf(f81,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : ((c1 = (sK4 @ X1 @ X2)) | (c1 != X2) | (c1 != X1)) )),
% 0.21/0.43 inference(equality_proxy_clausification,[],[f78])).
% 0.21/0.43 thf(f78,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : ((c1 != X2) | ((c1 = (sK4 @ X1 @ X2)) = $true) | (c1 != X1)) )),
% 0.21/0.43 inference(binary_proxy_clausification,[],[f77])).
% 0.21/0.43 thf(f85,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : ((sK2 != (sK4 @ X1 @ X2)) | (c1 != X2) | ((sK5 @ X1 @ X2) != sK3) | (c1 != X1)) )),
% 0.21/0.43 inference(equality_proxy_clausification,[],[f84])).
% 0.21/0.43 thf(f84,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : ((c1 != X1) | ((sK5 @ X1 @ X2) != sK3) | ((sK2 = (sK4 @ X1 @ X2)) = $false) | (c1 != X2)) )),
% 0.21/0.43 inference(equality_proxy_clausification,[],[f83])).
% 0.21/0.43 thf(f83,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : ((c1 != X2) | ($false = (sK3 = (sK5 @ X1 @ X2))) | ((sK2 = (sK4 @ X1 @ X2)) = $false) | (c1 != X1)) )),
% 0.21/0.43 inference(binary_proxy_clausification,[],[f82])).
% 0.21/0.43 thf(f82,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : ((c1 != X1) | ($false = ((sK2 = (sK4 @ X1 @ X2)) & (sK3 = (sK5 @ X1 @ X2)))) | (c1 != X2)) )),
% 0.21/0.43 inference(not_proxy_clausification,[],[f76])).
% 0.21/0.43 thf(f76,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : ((c1 != X1) | (c1 != X2) | ($true = (~ ((sK2 = (sK4 @ X1 @ X2)) & (sK3 = (sK5 @ X1 @ X2)))))) )),
% 0.21/0.43 inference(binary_proxy_clausification,[],[f75])).
% 0.21/0.43 % SZS output end Proof for theBenchmark
% 0.21/0.43 % (29824)------------------------------
% 0.21/0.43 % (29824)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (29824)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (29824)Memory used [KB]: 5628
% 0.21/0.43 % (29824)Time elapsed: 0.022 s
% 0.21/0.43 % (29824)Instructions burned: 12 (million)
% 0.21/0.43 % (29824)------------------------------
% 0.21/0.43 % (29824)------------------------------
% 0.21/0.43 % (29816)Success in time 0.045 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------