TSTP Solution File: SYO890^16 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO890^16 : 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 : n032.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 09:09:33 EDT 2024
% Result : Theorem 0.13s 0.31s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SYO890^16 : TPTP v8.2.0. Released v8.1.0.
% 0.02/0.10 % 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
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon May 20 10:14:52 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 This is a TH0_THM_EQU_NAR problem
% 0.09/0.29 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
% 0.09/0.30 % (12264)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)
% 0.09/0.30 % (12264)Instruction limit reached!
% 0.09/0.30 % (12264)------------------------------
% 0.09/0.30 % (12264)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.30 % (12264)Termination reason: Unknown
% 0.09/0.30 % (12264)Termination phase: shuffling
% 0.09/0.30
% 0.09/0.30 % (12264)Memory used [KB]: 1023
% 0.09/0.30 % (12264)Time elapsed: 0.002 s
% 0.09/0.30 % (12264)Instructions burned: 2 (million)
% 0.09/0.30 % (12264)------------------------------
% 0.09/0.30 % (12264)------------------------------
% 0.09/0.31 % (12265)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)
% 0.09/0.31 % (12262)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)
% 0.09/0.31 % (12266)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.09/0.31 % (12260)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.09/0.31 % (12267)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)
% 0.09/0.31 % (12261)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)
% 0.09/0.31 % (12263)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.09/0.31 % (12267)Instruction limit reached!
% 0.09/0.31 % (12267)------------------------------
% 0.09/0.31 % (12267)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.31 % (12267)Termination reason: Unknown
% 0.09/0.31 % (12267)Termination phase: shuffling
% 0.09/0.31
% 0.09/0.31 % (12267)Memory used [KB]: 1023
% 0.09/0.31 % (12267)Time elapsed: 0.003 s
% 0.09/0.31 % (12267)Instructions burned: 3 (million)
% 0.09/0.31 % (12267)------------------------------
% 0.09/0.31 % (12267)------------------------------
% 0.09/0.31 % (12263)Instruction limit reached!
% 0.09/0.31 % (12263)------------------------------
% 0.09/0.31 % (12263)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.31 % (12263)Termination reason: Unknown
% 0.09/0.31 % (12263)Termination phase: Property scanning
% 0.09/0.31
% 0.09/0.31 % (12263)Memory used [KB]: 1023
% 0.09/0.31 % (12263)Time elapsed: 0.003 s
% 0.09/0.31 % (12263)Instructions burned: 2 (million)
% 0.09/0.31 % (12263)------------------------------
% 0.09/0.31 % (12263)------------------------------
% 0.09/0.31 % (12265)Refutation not found, incomplete strategy
% 0.09/0.31 % (12265)------------------------------
% 0.09/0.31 % (12265)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.31 % (12265)Termination reason: Refutation not found, incomplete strategy
% 0.09/0.31
% 0.09/0.31
% 0.09/0.31 % (12265)Memory used [KB]: 5500
% 0.09/0.31 % (12265)Time elapsed: 0.004 s
% 0.09/0.31 % (12265)Instructions burned: 4 (million)
% 0.09/0.31 % (12265)------------------------------
% 0.09/0.31 % (12265)------------------------------
% 0.09/0.31 % (12261)Instruction limit reached!
% 0.09/0.31 % (12261)------------------------------
% 0.09/0.31 % (12261)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.31 % (12261)Termination reason: Unknown
% 0.09/0.31 % (12261)Termination phase: Saturation
% 0.09/0.31
% 0.09/0.31 % (12261)Memory used [KB]: 5500
% 0.09/0.31 % (12261)Time elapsed: 0.004 s
% 0.09/0.31 % (12261)Instructions burned: 4 (million)
% 0.09/0.31 % (12261)------------------------------
% 0.09/0.31 % (12261)------------------------------
% 0.13/0.31 % (12260)First to succeed.
% 0.13/0.31 % (12262)Also succeeded, but the first one will report.
% 0.13/0.31 % (12268)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.13/0.31 % (12266)Also succeeded, but the first one will report.
% 0.13/0.31 % (12260)Refutation found. Thanks to Tanya!
% 0.13/0.31 % SZS status Theorem for theBenchmark
% 0.13/0.31 % SZS output start Proof for theBenchmark
% 0.13/0.31 thf(type_def_5, type, mworld: $tType).
% 0.13/0.31 thf(func_def_0, type, mworld: $tType).
% 0.13/0.31 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.13/0.31 thf(func_def_2, type, mactual: mworld).
% 0.13/0.31 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.13/0.31 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.13/0.31 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.13/0.31 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.13/0.31 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.13/0.31 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.13/0.31 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.13/0.31 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.13/0.31 thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 0.13/0.31 thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.13/0.31 thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.13/0.31 thf(func_def_15, type, e: $i > mworld > $o).
% 0.13/0.31 thf(func_def_16, type, f: $i > mworld > $o).
% 0.13/0.31 thf(func_def_30, type, sK0: mworld > $i).
% 0.13/0.31 thf(func_def_34, type, sK3: mworld).
% 0.13/0.31 thf(f116,plain,(
% 0.13/0.31 $false),
% 0.13/0.31 inference(subsumption_resolution,[],[f115,f75])).
% 0.13/0.31 thf(f75,plain,(
% 0.13/0.31 ($true = (eiw_di @ sK2 @ mactual))),
% 0.13/0.31 inference(binary_proxy_clausification,[],[f74])).
% 0.13/0.31 thf(f74,plain,(
% 0.13/0.31 ($true = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((f @ sK2 @ Y0) & (e @ sK2 @ Y0))))) & (eiw_di @ sK2 @ mactual)))),
% 0.13/0.31 inference(beta_eta_normalization,[],[f73])).
% 0.13/0.31 thf(f73,plain,(
% 0.13/0.31 ($true = ((^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => ((f @ Y0 @ Y1) & (e @ Y0 @ Y1))))) & (eiw_di @ Y0 @ mactual))) @ sK2))),
% 0.13/0.31 inference(sigma_clausification,[],[f72])).
% 0.13/0.31 thf(f72,plain,(
% 0.13/0.31 ($true = (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => ((f @ Y0 @ Y1) & (e @ Y0 @ Y1))))) & (eiw_di @ Y0 @ mactual)))))),
% 0.13/0.31 inference(binary_proxy_clausification,[],[f70])).
% 0.13/0.31 thf(f70,plain,(
% 0.13/0.31 ($true != ((?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => ((f @ Y0 @ Y1) & (e @ Y0 @ Y1))))) & (eiw_di @ Y0 @ mactual)))) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((f @ Y1 @ Y0) & (eiw_di @ Y1 @ Y0)))))))))),
% 0.13/0.31 inference(beta_eta_normalization,[],[f69])).
% 0.13/0.31 thf(f69,plain,(
% 0.13/0.31 ($true != ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ ((^[Y1 : mworld > $o]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: ((Y2 @ Y3) & (Y1 @ Y3))))))) @ (e @ Y0) @ (f @ Y0))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))) @ (^[Y0 : $i]: (f @ Y0)))))))),
% 0.13/0.31 inference(definition_unfolding,[],[f57,f55,f65,f67,f60,f66,f60,f67])).
% 0.13/0.31 thf(f66,plain,(
% 0.13/0.31 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.13/0.31 inference(cnf_transformation,[],[f29])).
% 0.13/0.31 thf(f29,plain,(
% 0.13/0.31 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.13/0.31 inference(fool_elimination,[],[f28])).
% 0.13/0.31 thf(f28,plain,(
% 0.13/0.31 (mand = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) & (X1 @ X2))))),
% 0.13/0.31 inference(rectify,[],[f3])).
% 0.13/0.31 thf(f3,axiom,(
% 0.13/0.31 (mand = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X3 @ X2))))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def)).
% 0.13/0.31 thf(f60,plain,(
% 0.13/0.31 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.13/0.31 inference(cnf_transformation,[],[f44])).
% 0.13/0.31 thf(f44,plain,(
% 0.13/0.31 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.13/0.31 inference(fool_elimination,[],[f43])).
% 0.13/0.31 thf(f43,plain,(
% 0.13/0.31 (mbox = (^[X0 : mworld > $o, X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))))),
% 0.13/0.31 inference(rectify,[],[f7])).
% 0.13/0.31 thf(f7,axiom,(
% 0.13/0.31 (mbox = (^[X0 : mworld > $o, X2 : mworld] : (! [X4 : mworld] : ((mrel @ X2 @ X4) => (X0 @ X4)))))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def)).
% 0.13/0.31 thf(f67,plain,(
% 0.13/0.31 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 0.13/0.31 inference(cnf_transformation,[],[f34])).
% 0.13/0.31 thf(f34,plain,(
% 0.13/0.31 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 0.13/0.31 inference(fool_elimination,[],[f33])).
% 0.13/0.31 thf(f33,plain,(
% 0.13/0.31 (mexists_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2] : ((eiw_di @ X2 @ X1) & (X0 @ X2 @ X1)))))),
% 0.13/0.31 inference(rectify,[],[f14])).
% 0.13/0.31 thf(f14,axiom,(
% 0.13/0.31 (mexists_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (? [X6] : ((eiw_di @ X6 @ X2) & (X1 @ X6 @ X2)))))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di_def)).
% 0.13/0.31 thf(f65,plain,(
% 0.13/0.31 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.13/0.31 inference(cnf_transformation,[],[f23])).
% 0.13/0.31 thf(f23,plain,(
% 0.13/0.31 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.13/0.31 inference(fool_elimination,[],[f22])).
% 0.13/0.31 thf(f22,plain,(
% 0.13/0.31 (mimplies = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))))),
% 0.13/0.31 inference(rectify,[],[f5])).
% 0.13/0.31 thf(f5,axiom,(
% 0.13/0.31 (mimplies = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def)).
% 0.13/0.31 thf(f55,plain,(
% 0.13/0.31 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.13/0.31 inference(cnf_transformation,[],[f32])).
% 0.13/0.31 thf(f32,plain,(
% 0.13/0.31 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.13/0.31 inference(fool_elimination,[],[f1])).
% 0.13/0.31 thf(f1,axiom,(
% 0.13/0.31 ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def)).
% 0.13/0.31 thf(f57,plain,(
% 0.13/0.31 ($true != (mlocal @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (e @ Y0) @ (f @ Y0))))) @ (mbox @ (mexists_di @ (^[Y0 : $i]: (f @ Y0)))))))),
% 0.13/0.31 inference(cnf_transformation,[],[f47])).
% 0.13/0.31 thf(f47,plain,(
% 0.13/0.31 ($true != (mlocal @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (e @ Y0) @ (f @ Y0))))) @ (mbox @ (mexists_di @ (^[Y0 : $i]: (f @ Y0)))))))),
% 0.13/0.31 inference(flattening,[],[f38])).
% 0.13/0.31 thf(f38,plain,(
% 0.13/0.31 ~($true = (mlocal @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (e @ Y0) @ (f @ Y0))))) @ (mbox @ (mexists_di @ (^[Y0 : $i]: (f @ Y0)))))))),
% 0.13/0.31 inference(fool_elimination,[],[f37])).
% 0.13/0.31 thf(f37,plain,(
% 0.13/0.31 ~(mlocal @ (mimplies @ (mexists_di @ (^[X0 : $i] : (mbox @ (mand @ (e @ X0) @ (f @ X0))))) @ (mbox @ (mexists_di @ (^[X1 : $i] : (f @ X1))))))),
% 0.13/0.31 inference(rectify,[],[f16])).
% 0.13/0.31 thf(f16,negated_conjecture,(
% 0.13/0.31 ~(mlocal @ (mimplies @ (mexists_di @ (^[X6 : $i] : (mbox @ (mand @ (e @ X6) @ (f @ X6))))) @ (mbox @ (mexists_di @ (^[X6 : $i] : (f @ X6))))))),
% 0.13/0.31 inference(negated_conjecture,[],[f15])).
% 0.13/0.31 thf(f15,conjecture,(
% 0.13/0.31 (mlocal @ (mimplies @ (mexists_di @ (^[X6 : $i] : (mbox @ (mand @ (e @ X6) @ (f @ X6))))) @ (mbox @ (mexists_di @ (^[X6 : $i] : (f @ X6))))))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.13/0.31 thf(f115,plain,(
% 0.13/0.31 ($true != (eiw_di @ sK2 @ mactual))),
% 0.13/0.31 inference(trivial_inequality_removal,[],[f111])).
% 0.13/0.31 thf(f111,plain,(
% 0.13/0.31 ($true != (eiw_di @ sK2 @ mactual)) | ($true != $true)),
% 0.13/0.31 inference(superposition,[],[f108,f85])).
% 0.13/0.31 thf(f85,plain,(
% 0.13/0.31 ($true = (mrel @ mactual @ sK3))),
% 0.13/0.31 inference(binary_proxy_clausification,[],[f83])).
% 0.13/0.31 thf(f83,plain,(
% 0.13/0.31 ($false = ((mrel @ mactual @ sK3) => (?? @ $i @ (^[Y0 : $i]: ((f @ Y0 @ sK3) & (eiw_di @ Y0 @ sK3))))))),
% 0.13/0.31 inference(beta_eta_normalization,[],[f82])).
% 0.13/0.31 thf(f82,plain,(
% 0.13/0.31 ($false = ((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((f @ Y1 @ Y0) & (eiw_di @ Y1 @ Y0)))))) @ sK3))),
% 0.13/0.31 inference(sigma_clausification,[],[f71])).
% 0.13/0.31 thf(f71,plain,(
% 0.13/0.31 ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((f @ Y1 @ Y0) & (eiw_di @ Y1 @ Y0))))))))),
% 0.13/0.31 inference(binary_proxy_clausification,[],[f70])).
% 0.13/0.31 thf(f108,plain,(
% 0.13/0.31 ( ! [X0 : mworld] : (($true != (mrel @ X0 @ sK3)) | ($true != (eiw_di @ sK2 @ X0))) )),
% 0.13/0.31 inference(trivial_inequality_removal,[],[f106])).
% 0.13/0.31 thf(f106,plain,(
% 0.13/0.31 ( ! [X0 : mworld] : (($false = $true) | ($true != (eiw_di @ sK2 @ X0)) | ($true != (mrel @ X0 @ sK3))) )),
% 0.13/0.31 inference(superposition,[],[f100,f62])).
% 0.13/0.31 thf(f62,plain,(
% 0.13/0.31 ( ! [X2 : $i,X0 : mworld,X1 : mworld] : (($true = (eiw_di @ X2 @ X0)) | ($true != (eiw_di @ X2 @ X1)) | ($true != (mrel @ X1 @ X0))) )),
% 0.13/0.31 inference(cnf_transformation,[],[f51])).
% 0.13/0.31 thf(f51,plain,(
% 0.13/0.31 ! [X0 : mworld,X1 : mworld,X2] : (($true != (mrel @ X1 @ X0)) | ($true = (eiw_di @ X2 @ X0)) | ($true != (eiw_di @ X2 @ X1)))),
% 0.13/0.31 inference(flattening,[],[f50])).
% 0.13/0.31 thf(f50,plain,(
% 0.13/0.31 ! [X0 : mworld,X1 : mworld,X2] : (($true = (eiw_di @ X2 @ X0)) | (($true != (eiw_di @ X2 @ X1)) | ($true != (mrel @ X1 @ X0))))),
% 0.13/0.31 inference(ennf_transformation,[],[f46])).
% 0.13/0.31 thf(f46,plain,(
% 0.13/0.31 ! [X0 : mworld,X1 : mworld,X2] : ((($true = (eiw_di @ X2 @ X1)) & ($true = (mrel @ X1 @ X0))) => ($true = (eiw_di @ X2 @ X0)))),
% 0.13/0.31 inference(fool_elimination,[],[f45])).
% 0.13/0.31 thf(f45,plain,(
% 0.13/0.31 ! [X0 : mworld,X1 : mworld,X2] : (((mrel @ X1 @ X0) & (eiw_di @ X2 @ X1)) => (eiw_di @ X2 @ X0))),
% 0.13/0.31 inference(rectify,[],[f12])).
% 0.13/0.31 thf(f12,axiom,(
% 0.13/0.31 ! [X4 : mworld,X2 : mworld,X6] : (((mrel @ X2 @ X4) & (eiw_di @ X6 @ X2)) => (eiw_di @ X6 @ X4))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_cumul)).
% 0.13/0.31 thf(f100,plain,(
% 0.13/0.31 ((eiw_di @ sK2 @ sK3) = $false)),
% 0.13/0.31 inference(trivial_inequality_removal,[],[f97])).
% 0.13/0.31 thf(f97,plain,(
% 0.13/0.31 ($false = $true) | ((eiw_di @ sK2 @ sK3) = $false)),
% 0.13/0.31 inference(superposition,[],[f95,f88])).
% 0.13/0.31 thf(f88,plain,(
% 0.13/0.31 ( ! [X1 : $i] : (($false = (f @ X1 @ sK3)) | ($false = (eiw_di @ X1 @ sK3))) )),
% 0.13/0.31 inference(binary_proxy_clausification,[],[f87])).
% 0.13/0.31 thf(f87,plain,(
% 0.13/0.31 ( ! [X1 : $i] : (($false = ((f @ X1 @ sK3) & (eiw_di @ X1 @ sK3)))) )),
% 0.13/0.31 inference(beta_eta_normalization,[],[f86])).
% 0.13/0.31 thf(f86,plain,(
% 0.13/0.31 ( ! [X1 : $i] : (($false = ((^[Y0 : $i]: ((f @ Y0 @ sK3) & (eiw_di @ Y0 @ sK3))) @ X1))) )),
% 0.13/0.31 inference(pi_clausification,[],[f84])).
% 0.13/0.31 thf(f84,plain,(
% 0.13/0.31 ($false = (?? @ $i @ (^[Y0 : $i]: ((f @ Y0 @ sK3) & (eiw_di @ Y0 @ sK3)))))),
% 0.13/0.31 inference(binary_proxy_clausification,[],[f83])).
% 0.13/0.31 thf(f95,plain,(
% 0.13/0.31 ((f @ sK2 @ sK3) = $true)),
% 0.13/0.31 inference(trivial_inequality_removal,[],[f91])).
% 0.13/0.31 thf(f91,plain,(
% 0.13/0.31 ((f @ sK2 @ sK3) = $true) | ($false = $true)),
% 0.13/0.31 inference(superposition,[],[f85,f81])).
% 0.13/0.31 thf(f81,plain,(
% 0.13/0.31 ( ! [X1 : mworld] : (($false = (mrel @ mactual @ X1)) | ((f @ sK2 @ X1) = $true)) )),
% 0.13/0.31 inference(binary_proxy_clausification,[],[f79])).
% 0.13/0.31 thf(f79,plain,(
% 0.13/0.31 ( ! [X1 : mworld] : (($false = (mrel @ mactual @ X1)) | (((f @ sK2 @ X1) & (e @ sK2 @ X1)) = $true)) )),
% 0.13/0.31 inference(binary_proxy_clausification,[],[f78])).
% 0.13/0.31 thf(f78,plain,(
% 0.13/0.31 ( ! [X1 : mworld] : ((((mrel @ mactual @ X1) => ((f @ sK2 @ X1) & (e @ sK2 @ X1))) = $true)) )),
% 0.13/0.31 inference(beta_eta_normalization,[],[f77])).
% 0.13/0.31 thf(f77,plain,(
% 0.13/0.31 ( ! [X1 : mworld] : (($true = ((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((f @ sK2 @ Y0) & (e @ sK2 @ Y0)))) @ X1))) )),
% 0.13/0.31 inference(pi_clausification,[],[f76])).
% 0.13/0.31 thf(f76,plain,(
% 0.13/0.31 ($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((f @ sK2 @ Y0) & (e @ sK2 @ Y0))))))),
% 0.13/0.31 inference(binary_proxy_clausification,[],[f74])).
% 0.13/0.31 % SZS output end Proof for theBenchmark
% 0.13/0.31 % (12260)------------------------------
% 0.13/0.31 % (12260)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.31 % (12260)Termination reason: Refutation
% 0.13/0.31
% 0.13/0.31 % (12260)Memory used [KB]: 5628
% 0.13/0.31 % (12260)Time elapsed: 0.008 s
% 0.13/0.31 % (12260)Instructions burned: 8 (million)
% 0.13/0.31 % (12260)------------------------------
% 0.13/0.31 % (12260)------------------------------
% 0.13/0.31 % (12259)Success in time 0.009 s
% 0.13/0.32 % Vampire---4.8 exiting
%------------------------------------------------------------------------------