TSTP Solution File: SYO887^22 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO887^22 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.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 09:09:31 EDT 2024
% Result : Theorem 0.12s 0.38s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SYO887^22 : TPTP v8.2.0. Released v8.1.0.
% 0.06/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.35 % Computer : n006.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Mon May 20 10:02:23 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.35 This is a TH0_THM_EQU_NAR problem
% 0.12/0.35 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
% 0.12/0.37 % (26672)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.37 % (26673)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)
% 0.12/0.37 % (26674)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)
% 0.12/0.37 % (26672)Instruction limit reached!
% 0.12/0.37 % (26672)------------------------------
% 0.12/0.37 % (26672)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (26672)Termination reason: Unknown
% 0.12/0.37 % (26672)Termination phase: Unused predicate definition removal
% 0.12/0.37
% 0.12/0.37 % (26673)Instruction limit reached!
% 0.12/0.37 % (26673)------------------------------
% 0.12/0.37 % (26673)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (26673)Termination reason: Unknown
% 0.12/0.37 % (26673)Termination phase: Clausification
% 0.12/0.37
% 0.12/0.37 % (26673)Memory used [KB]: 1023
% 0.12/0.37 % (26673)Time elapsed: 0.003 s
% 0.12/0.37 % (26673)Instructions burned: 3 (million)
% 0.12/0.37 % (26673)------------------------------
% 0.12/0.37 % (26673)------------------------------
% 0.12/0.37 % (26672)Memory used [KB]: 1023
% 0.12/0.37 % (26672)Time elapsed: 0.003 s
% 0.12/0.37 % (26672)Instructions burned: 3 (million)
% 0.12/0.37 % (26672)------------------------------
% 0.12/0.37 % (26672)------------------------------
% 0.12/0.37 % (26675)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.37 % (26674)Refutation not found, incomplete strategy
% 0.12/0.37 % (26674)------------------------------
% 0.12/0.37 % (26674)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (26674)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 % (26674)Memory used [KB]: 5500
% 0.12/0.37 % (26674)Time elapsed: 0.004 s
% 0.12/0.37 % (26674)Instructions burned: 4 (million)
% 0.12/0.37 % (26674)------------------------------
% 0.12/0.37 % (26674)------------------------------
% 0.12/0.37 % (26669)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.37 % (26671)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)
% 0.12/0.37 % (26676)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)
% 0.12/0.38 % (26676)Instruction limit reached!
% 0.12/0.38 % (26676)------------------------------
% 0.12/0.38 % (26676)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (26676)Termination reason: Unknown
% 0.12/0.38 % (26676)Termination phase: Property scanning
% 0.12/0.38
% 0.12/0.38 % (26676)Memory used [KB]: 1023
% 0.12/0.38 % (26676)Time elapsed: 0.003 s
% 0.12/0.38 % (26676)Instructions burned: 3 (million)
% 0.12/0.38 % (26676)------------------------------
% 0.12/0.38 % (26676)------------------------------
% 0.12/0.38 % (26675)First to succeed.
% 0.12/0.38 % (26675)Refutation found. Thanks to Tanya!
% 0.12/0.38 % SZS status Theorem for theBenchmark
% 0.12/0.38 % SZS output start Proof for theBenchmark
% 0.12/0.38 thf(type_def_5, type, mworld: $tType).
% 0.12/0.38 thf(func_def_0, type, mworld: $tType).
% 0.12/0.38 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.12/0.38 thf(func_def_2, type, mactual: mworld).
% 0.12/0.38 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.12/0.38 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.12/0.38 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.12/0.38 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.12/0.38 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.12/0.38 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.12/0.38 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.12/0.38 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.12/0.38 thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 0.12/0.38 thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.12/0.38 thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.12/0.38 thf(func_def_15, type, f: $i > mworld > $o).
% 0.12/0.38 thf(func_def_29, type, sK0: mworld > $i).
% 0.12/0.38 thf(func_def_31, type, sK2: mworld > $i).
% 0.12/0.38 thf(f111,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(trivial_inequality_removal,[],[f110])).
% 0.12/0.38 thf(f110,plain,(
% 0.12/0.38 ($true = $false)),
% 0.12/0.38 inference(backward_demodulation,[],[f93,f109])).
% 0.12/0.38 thf(f109,plain,(
% 0.12/0.38 ((eiw_di @ (sK2 @ mactual) @ mactual) = $false)),
% 0.12/0.38 inference(trivial_inequality_removal,[],[f107])).
% 0.12/0.38 thf(f107,plain,(
% 0.12/0.38 ($true = $false) | ((eiw_di @ (sK2 @ mactual) @ mactual) = $false)),
% 0.12/0.38 inference(superposition,[],[f89,f105])).
% 0.12/0.38 thf(f105,plain,(
% 0.12/0.38 ( ! [X0 : $i] : (((f @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false)) )),
% 0.12/0.38 inference(trivial_inequality_removal,[],[f100])).
% 0.12/0.38 thf(f100,plain,(
% 0.12/0.38 ( ! [X0 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ($true = $false) | ((f @ X0 @ mactual) = $false)) )),
% 0.12/0.38 inference(superposition,[],[f85,f65])).
% 0.12/0.38 thf(f65,plain,(
% 0.12/0.38 ( ! [X0 : mworld] : (($true = (mrel @ X0 @ X0))) )),
% 0.12/0.38 inference(cnf_transformation,[],[f31])).
% 0.12/0.38 thf(f31,plain,(
% 0.12/0.38 ! [X0 : mworld] : ($true = (mrel @ X0 @ X0))),
% 0.12/0.38 inference(fool_elimination,[],[f30])).
% 0.12/0.38 thf(f30,plain,(
% 0.12/0.38 ! [X0 : mworld] : (mrel @ X0 @ X0)),
% 0.12/0.38 inference(rectify,[],[f9])).
% 0.12/0.38 thf(f9,axiom,(
% 0.12/0.38 ! [X2 : mworld] : (mrel @ X2 @ X2)),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive)).
% 0.12/0.38 thf(f85,plain,(
% 0.12/0.38 ( ! [X2 : mworld,X1 : $i] : (((mrel @ mactual @ X2) = $false) | ((f @ X1 @ X2) = $false) | ((eiw_di @ X1 @ mactual) = $false)) )),
% 0.12/0.38 inference(binary_proxy_clausification,[],[f84])).
% 0.12/0.38 thf(f84,plain,(
% 0.12/0.38 ( ! [X2 : mworld,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | (((mrel @ mactual @ X2) & (f @ X1 @ X2)) = $false)) )),
% 0.12/0.38 inference(beta_eta_normalization,[],[f83])).
% 0.12/0.38 thf(f83,plain,(
% 0.12/0.38 ( ! [X2 : mworld,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | (((^[Y0 : mworld]: ((mrel @ mactual @ Y0) & (f @ X1 @ Y0))) @ X2) = $false)) )),
% 0.12/0.38 inference(pi_clausification,[],[f82])).
% 0.12/0.38 thf(f82,plain,(
% 0.12/0.38 ( ! [X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ($false = (?? @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) & (f @ X1 @ Y0)))))) )),
% 0.12/0.38 inference(binary_proxy_clausification,[],[f81])).
% 0.12/0.38 thf(f81,plain,(
% 0.12/0.38 ( ! [X1 : $i] : ((((eiw_di @ X1 @ mactual) & (?? @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) & (f @ X1 @ Y0))))) = $false)) )),
% 0.12/0.38 inference(beta_eta_normalization,[],[f80])).
% 0.12/0.38 thf(f80,plain,(
% 0.12/0.38 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) & (f @ Y0 @ Y1)))))) @ X1) = $false)) )),
% 0.12/0.38 inference(pi_clausification,[],[f71])).
% 0.12/0.38 thf(f71,plain,(
% 0.12/0.38 ($false = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) & (f @ Y0 @ Y1))))))))),
% 0.12/0.38 inference(binary_proxy_clausification,[],[f70])).
% 0.12/0.38 thf(f70,plain,(
% 0.12/0.38 ($true != ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (f @ Y1 @ Y0))))))) => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) & (f @ Y0 @ Y1)))))))))),
% 0.12/0.38 inference(beta_eta_normalization,[],[f69])).
% 0.12/0.38 thf(f69,plain,(
% 0.12/0.38 ($true != ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: (f @ Y0)))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (?? @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) & (Y1 @ Y3))))))) @ (f @ Y0)))))))),
% 0.12/0.38 inference(definition_unfolding,[],[f61,f54,f67,f63,f58,f58,f68])).
% 0.12/0.38 thf(f68,plain,(
% 0.12/0.38 (mdia = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (?? @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.12/0.38 inference(cnf_transformation,[],[f33])).
% 0.12/0.38 thf(f33,plain,(
% 0.12/0.38 (mdia = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (?? @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.12/0.38 inference(fool_elimination,[],[f32])).
% 0.12/0.38 thf(f32,plain,(
% 0.12/0.38 (mdia = (^[X0 : mworld > $o, X1 : mworld] : (? [X2 : mworld] : ((X0 @ X2) & (mrel @ X1 @ X2)))))),
% 0.12/0.38 inference(rectify,[],[f8])).
% 0.12/0.38 thf(f8,axiom,(
% 0.12/0.38 (mdia = (^[X0 : mworld > $o, X2 : mworld] : (? [X4 : mworld] : ((X0 @ X4) & (mrel @ X2 @ X4)))))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia_def)).
% 0.12/0.38 thf(f58,plain,(
% 0.12/0.38 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))))),
% 0.12/0.38 inference(cnf_transformation,[],[f29])).
% 0.12/0.38 thf(f29,plain,(
% 0.12/0.38 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))))),
% 0.12/0.38 inference(fool_elimination,[],[f28])).
% 0.12/0.38 thf(f28,plain,(
% 0.12/0.38 (mexists_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2] : ((X0 @ X2 @ X1) & (eiw_di @ X2 @ X1)))))),
% 0.12/0.38 inference(rectify,[],[f14])).
% 0.12/0.38 thf(f14,axiom,(
% 0.12/0.38 (mexists_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (? [X6] : ((X1 @ X6 @ X2) & (eiw_di @ X6 @ X2)))))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di_def)).
% 0.12/0.38 thf(f63,plain,(
% 0.12/0.38 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.12/0.38 inference(cnf_transformation,[],[f23])).
% 0.12/0.38 thf(f23,plain,(
% 0.12/0.38 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.12/0.38 inference(fool_elimination,[],[f22])).
% 0.12/0.38 thf(f22,plain,(
% 0.12/0.38 ((^[X0 : mworld > $o, X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))) = mbox)),
% 0.12/0.38 inference(rectify,[],[f7])).
% 0.12/0.38 thf(f7,axiom,(
% 0.12/0.38 ((^[X0 : mworld > $o, X2 : mworld] : (! [X4 : mworld] : ((mrel @ X2 @ X4) => (X0 @ X4)))) = mbox)),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def)).
% 0.12/0.38 thf(f67,plain,(
% 0.12/0.38 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.12/0.38 inference(cnf_transformation,[],[f37])).
% 0.12/0.38 thf(f37,plain,(
% 0.12/0.38 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.12/0.38 inference(fool_elimination,[],[f36])).
% 0.12/0.38 thf(f36,plain,(
% 0.12/0.38 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))) = mimplies)),
% 0.12/0.38 inference(rectify,[],[f5])).
% 0.12/0.38 thf(f5,axiom,(
% 0.12/0.38 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))) = mimplies)),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def)).
% 0.12/0.38 thf(f54,plain,(
% 0.12/0.38 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.12/0.38 inference(cnf_transformation,[],[f46])).
% 0.12/0.38 thf(f46,plain,(
% 0.12/0.38 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.12/0.38 inference(fool_elimination,[],[f1])).
% 0.12/0.38 thf(f1,axiom,(
% 0.12/0.38 ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def)).
% 0.12/0.38 thf(f61,plain,(
% 0.12/0.38 ($true != (mlocal @ (mimplies @ (mbox @ (mexists_di @ (^[Y0 : $i]: (f @ Y0)))) @ (mexists_di @ (^[Y0 : $i]: (mdia @ (f @ Y0)))))))),
% 0.12/0.38 inference(cnf_transformation,[],[f47])).
% 0.12/0.38 thf(f47,plain,(
% 0.12/0.38 ($true != (mlocal @ (mimplies @ (mbox @ (mexists_di @ (^[Y0 : $i]: (f @ Y0)))) @ (mexists_di @ (^[Y0 : $i]: (mdia @ (f @ Y0)))))))),
% 0.12/0.38 inference(flattening,[],[f21])).
% 0.12/0.38 thf(f21,plain,(
% 0.12/0.38 ~($true = (mlocal @ (mimplies @ (mbox @ (mexists_di @ (^[Y0 : $i]: (f @ Y0)))) @ (mexists_di @ (^[Y0 : $i]: (mdia @ (f @ Y0)))))))),
% 0.12/0.38 inference(fool_elimination,[],[f20])).
% 0.12/0.38 thf(f20,plain,(
% 0.12/0.38 ~(mlocal @ (mimplies @ (mbox @ (mexists_di @ (^[X0 : $i] : (f @ X0)))) @ (mexists_di @ (^[X1 : $i] : (mdia @ (f @ X1))))))),
% 0.12/0.38 inference(rectify,[],[f16])).
% 0.12/0.38 thf(f16,negated_conjecture,(
% 0.12/0.38 ~(mlocal @ (mimplies @ (mbox @ (mexists_di @ (^[X6 : $i] : (f @ X6)))) @ (mexists_di @ (^[X6 : $i] : (mdia @ (f @ X6))))))),
% 0.12/0.38 inference(negated_conjecture,[],[f15])).
% 0.12/0.38 thf(f15,conjecture,(
% 0.12/0.38 (mlocal @ (mimplies @ (mbox @ (mexists_di @ (^[X6 : $i] : (f @ X6)))) @ (mexists_di @ (^[X6 : $i] : (mdia @ (f @ X6))))))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.12/0.38 thf(f89,plain,(
% 0.12/0.38 ((f @ (sK2 @ mactual) @ mactual) = $true)),
% 0.12/0.38 inference(trivial_inequality_removal,[],[f86])).
% 0.12/0.38 thf(f86,plain,(
% 0.12/0.38 ((f @ (sK2 @ mactual) @ mactual) = $true) | ($true = $false)),
% 0.12/0.38 inference(superposition,[],[f78,f65])).
% 0.12/0.38 thf(f78,plain,(
% 0.12/0.38 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = (f @ (sK2 @ X1) @ X1))) )),
% 0.12/0.38 inference(binary_proxy_clausification,[],[f77])).
% 0.12/0.38 thf(f77,plain,(
% 0.12/0.38 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = ((eiw_di @ (sK2 @ X1) @ X1) & (f @ (sK2 @ X1) @ X1)))) )),
% 0.12/0.38 inference(beta_eta_normalization,[],[f76])).
% 0.12/0.38 thf(f76,plain,(
% 0.12/0.38 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ X1) & (f @ Y0 @ X1))) @ (sK2 @ X1)))) )),
% 0.12/0.38 inference(sigma_clausification,[],[f75])).
% 0.12/0.38 thf(f75,plain,(
% 0.12/0.38 ( ! [X1 : mworld] : (($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) & (f @ Y0 @ X1))))) | ((mrel @ mactual @ X1) = $false)) )),
% 0.12/0.38 inference(binary_proxy_clausification,[],[f74])).
% 0.12/0.38 thf(f74,plain,(
% 0.12/0.38 ( ! [X1 : mworld] : (($true = ((mrel @ mactual @ X1) => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) & (f @ Y0 @ X1))))))) )),
% 0.12/0.38 inference(beta_eta_normalization,[],[f73])).
% 0.12/0.38 thf(f73,plain,(
% 0.12/0.38 ( ! [X1 : mworld] : (($true = ((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (f @ Y1 @ Y0)))))) @ X1))) )),
% 0.12/0.38 inference(pi_clausification,[],[f72])).
% 0.12/0.38 thf(f72,plain,(
% 0.12/0.38 ($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (f @ Y1 @ Y0))))))))),
% 0.12/0.38 inference(binary_proxy_clausification,[],[f70])).
% 0.12/0.38 thf(f93,plain,(
% 0.12/0.38 ($true = (eiw_di @ (sK2 @ mactual) @ mactual))),
% 0.12/0.38 inference(trivial_inequality_removal,[],[f91])).
% 0.12/0.38 thf(f91,plain,(
% 0.12/0.38 ($true = $false) | ($true = (eiw_di @ (sK2 @ mactual) @ mactual))),
% 0.12/0.38 inference(superposition,[],[f65,f79])).
% 0.12/0.38 thf(f79,plain,(
% 0.12/0.38 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = (eiw_di @ (sK2 @ X1) @ X1))) )),
% 0.12/0.38 inference(binary_proxy_clausification,[],[f77])).
% 0.12/0.38 % SZS output end Proof for theBenchmark
% 0.12/0.38 % (26675)------------------------------
% 0.12/0.38 % (26675)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (26675)Termination reason: Refutation
% 0.12/0.38
% 0.12/0.38 % (26675)Memory used [KB]: 5628
% 0.12/0.38 % (26675)Time elapsed: 0.008 s
% 0.12/0.38 % (26675)Instructions burned: 8 (million)
% 0.12/0.38 % (26675)------------------------------
% 0.12/0.38 % (26675)------------------------------
% 0.12/0.38 % (26668)Success in time 0.021 s
% 0.12/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------