TSTP Solution File: LCL586^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL586^1 : TPTP v8.2.0. Released v3.6.0.
% 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 : n029.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 00:16:05 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL586^1 : TPTP v8.2.0. Released v3.6.0.
% 0.11/0.14 % 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
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 02:14:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 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
% 0.14/0.37 % (3140)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)
% 0.14/0.37 % (3138)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)
% 0.14/0.37 % (3139)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.37 % (3135)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)
% 0.14/0.37 % (3140)Instruction limit reached!
% 0.14/0.37 % (3140)------------------------------
% 0.14/0.37 % (3140)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (3138)Refutation not found, incomplete strategy
% 0.14/0.37 % (3138)------------------------------
% 0.14/0.37 % (3138)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (3138)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % (3138)Memory used [KB]: 5500
% 0.14/0.37 % (3138)Time elapsed: 0.003 s
% 0.14/0.37 % (3138)Instructions burned: 4 (million)
% 0.14/0.37 % (3138)------------------------------
% 0.14/0.37 % (3138)------------------------------
% 0.14/0.37 % (3140)Termination reason: Unknown
% 0.14/0.37 % (3140)Termination phase: Saturation
% 0.14/0.37
% 0.14/0.37 % (3140)Memory used [KB]: 5500
% 0.14/0.37 % (3140)Time elapsed: 0.004 s
% 0.14/0.37 % (3140)Instructions burned: 4 (million)
% 0.14/0.37 % (3140)------------------------------
% 0.14/0.37 % (3140)------------------------------
% 0.14/0.38 % (3139)First to succeed.
% 0.14/0.38 % (3136)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (3135)Also succeeded, but the first one will report.
% 0.14/0.38 % (3137)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)
% 0.14/0.38 % (3136)Instruction limit reached!
% 0.14/0.38 % (3136)------------------------------
% 0.14/0.38 % (3136)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (3136)Termination reason: Unknown
% 0.14/0.38 % (3136)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (3136)Memory used [KB]: 895
% 0.14/0.38 % (3136)Time elapsed: 0.003 s
% 0.14/0.38 % (3136)Instructions burned: 2 (million)
% 0.14/0.38 % (3136)------------------------------
% 0.14/0.38 % (3136)------------------------------
% 0.14/0.38 % (3139)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% 0.14/0.38 thf(type_def_6, type, individuals: $tType).
% 0.14/0.38 thf(func_def_1, type, prop_a: $i > $o).
% 0.14/0.38 thf(func_def_2, type, prop_b: $i > $o).
% 0.14/0.38 thf(func_def_3, type, prop_c: $i > $o).
% 0.14/0.38 thf(func_def_4, type, mfalse: $i > $o).
% 0.14/0.38 thf(func_def_5, type, mtrue: $i > $o).
% 0.14/0.38 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.14/0.38 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.38 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.38 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.38 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.38 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.14/0.38 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.14/0.38 thf(func_def_14, type, individuals: $tType).
% 0.14/0.38 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.14/0.38 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.14/0.38 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.14/0.38 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.14/0.38 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.14/0.38 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.14/0.38 thf(func_def_21, type, a: $i > $o).
% 0.14/0.38 thf(func_def_22, type, b: $i > $o).
% 0.14/0.38 thf(func_def_23, type, r: $i > $i > $o).
% 0.14/0.38 thf(f90,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(trivial_inequality_removal,[],[f89])).
% 0.14/0.38 thf(f89,plain,(
% 0.14/0.38 ($true = $false)),
% 0.14/0.38 inference(backward_demodulation,[],[f81,f88])).
% 0.14/0.38 thf(f88,plain,(
% 0.14/0.38 ($false = (a @ sK2))),
% 0.14/0.38 inference(trivial_inequality_removal,[],[f85])).
% 0.14/0.38 thf(f85,plain,(
% 0.14/0.38 ($false = (a @ sK2)) | ($true = $false)),
% 0.14/0.38 inference(superposition,[],[f78,f84])).
% 0.14/0.38 thf(f84,plain,(
% 0.14/0.38 ( ! [X1 : $i] : (($false = (r @ sK1 @ X1)) | ($false = (a @ X1))) )),
% 0.14/0.38 inference(binary_proxy_clausification,[],[f83])).
% 0.14/0.38 thf(f83,plain,(
% 0.14/0.38 ( ! [X1 : $i] : ((((r @ sK1 @ X1) & (a @ X1)) = $false)) )),
% 0.14/0.38 inference(beta_eta_normalization,[],[f82])).
% 0.14/0.38 thf(f82,plain,(
% 0.14/0.38 ( ! [X1 : $i] : (($false = ((^[Y0 : $i]: ((r @ sK1 @ Y0) & (a @ Y0))) @ X1))) )),
% 0.14/0.38 inference(pi_clausification,[],[f73])).
% 0.14/0.38 thf(f73,plain,(
% 0.14/0.38 ($false = (?? @ $i @ (^[Y0 : $i]: ((r @ sK1 @ Y0) & (a @ Y0)))))),
% 0.14/0.38 inference(binary_proxy_clausification,[],[f72])).
% 0.14/0.38 thf(f72,plain,(
% 0.14/0.38 ($false = ((!! @ $i @ (^[Y0 : $i]: ((r @ sK1 @ Y0) => ((b @ Y0) | (~ (a @ Y0)))))) | (?? @ $i @ (^[Y0 : $i]: ((r @ sK1 @ Y0) & (a @ Y0))))))),
% 0.14/0.38 inference(beta_eta_normalization,[],[f71])).
% 0.14/0.38 thf(f71,plain,(
% 0.14/0.38 ($false = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((r @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1)))))) | (?? @ $i @ (^[Y1 : $i]: ((r @ Y0 @ Y1) & (a @ Y1)))))) @ sK1))),
% 0.14/0.38 inference(sigma_clausification,[],[f70])).
% 0.14/0.38 thf(f70,plain,(
% 0.14/0.38 ($true != (!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((r @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1)))))) | (?? @ $i @ (^[Y1 : $i]: ((r @ Y0 @ Y1) & (a @ Y1))))))))),
% 0.14/0.38 inference(boolean_simplification,[],[f69])).
% 0.14/0.38 thf(f69,plain,(
% 0.14/0.38 ($true != (!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((r @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1)))))) | (~ (~ (?? @ $i @ (^[Y1 : $i]: ((r @ Y0 @ Y1) & (a @ Y1))))))))))),
% 0.14/0.38 inference(beta_eta_normalization,[],[f68])).
% 0.14/0.38 thf(f68,plain,(
% 0.14/0.38 ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) & (Y1 @ Y3))))))))) @ r @ a)) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ r @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ a @ b)))))),
% 0.14/0.38 inference(definition_unfolding,[],[f55,f65,f66,f51,f63,f50,f66])).
% 0.14/0.38 thf(f50,plain,(
% 0.14/0.38 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.14/0.38 inference(cnf_transformation,[],[f39])).
% 0.14/0.38 thf(f39,plain,(
% 0.14/0.38 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.14/0.38 inference(fool_elimination,[],[f38])).
% 0.14/0.38 thf(f38,plain,(
% 0.14/0.38 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))) = mbox)),
% 0.14/0.38 inference(rectify,[],[f8])).
% 0.14/0.38 thf(f8,axiom,(
% 0.14/0.38 ((^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))) = mbox)),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)).
% 0.14/0.38 thf(f63,plain,(
% 0.14/0.38 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) & (Y1 @ Y3))))))))))),
% 0.14/0.38 inference(cnf_transformation,[],[f37])).
% 0.14/0.38 thf(f37,plain,(
% 0.14/0.38 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) & (Y1 @ Y3))))))))))),
% 0.14/0.38 inference(fool_elimination,[],[f36])).
% 0.14/0.38 thf(f36,plain,(
% 0.14/0.38 (mdia = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (? [X3] : ((X1 @ X3) & (X0 @ X2 @ X3)))))),
% 0.14/0.38 inference(rectify,[],[f9])).
% 0.14/0.38 thf(f9,axiom,(
% 0.14/0.38 (mdia = (^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (? [X2] : ((X5 @ X2) & (X4 @ X0 @ X2)))))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia)).
% 0.14/0.38 thf(f51,plain,(
% 0.14/0.38 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.14/0.38 inference(cnf_transformation,[],[f43])).
% 0.14/0.38 thf(f43,plain,(
% 0.14/0.38 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.14/0.38 inference(fool_elimination,[],[f42])).
% 0.14/0.38 thf(f42,plain,(
% 0.14/0.38 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.14/0.38 inference(rectify,[],[f3])).
% 0.14/0.38 thf(f3,axiom,(
% 0.14/0.38 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 0.14/0.38 thf(f66,plain,(
% 0.14/0.38 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.14/0.38 inference(definition_unfolding,[],[f62,f54,f51])).
% 0.14/0.38 thf(f54,plain,(
% 0.14/0.38 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.14/0.38 inference(cnf_transformation,[],[f24])).
% 0.14/0.38 thf(f24,plain,(
% 0.14/0.38 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.14/0.38 inference(fool_elimination,[],[f23])).
% 0.14/0.38 thf(f23,plain,(
% 0.14/0.38 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)),
% 0.14/0.38 inference(rectify,[],[f4])).
% 0.14/0.38 thf(f4,axiom,(
% 0.14/0.38 ((^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X0 @ X1) | (X2 @ X1))) = mor)),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
% 0.14/0.38 thf(f62,plain,(
% 0.14/0.38 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.14/0.38 inference(cnf_transformation,[],[f30])).
% 0.14/0.38 thf(f30,plain,(
% 0.14/0.38 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.14/0.38 inference(fool_elimination,[],[f29])).
% 0.14/0.38 thf(f29,plain,(
% 0.14/0.38 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimpl)),
% 0.14/0.38 inference(rectify,[],[f6])).
% 0.14/0.38 thf(f6,axiom,(
% 0.14/0.38 ((^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)) = mimpl)),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimpl)).
% 0.14/0.38 thf(f65,plain,(
% 0.14/0.38 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.14/0.38 inference(cnf_transformation,[],[f22])).
% 0.14/0.38 thf(f22,plain,(
% 0.14/0.38 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.14/0.38 inference(fool_elimination,[],[f21])).
% 0.14/0.38 thf(f21,plain,(
% 0.14/0.38 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.14/0.38 inference(rectify,[],[f12])).
% 0.14/0.38 thf(f12,axiom,(
% 0.14/0.38 ((^[X5 : $i > $o] : (! [X6] : (X5 @ X6))) = mvalid)),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 0.14/0.38 thf(f55,plain,(
% 0.14/0.38 ((mvalid @ (mimpl @ (mnot @ (mdia @ r @ a)) @ (mbox @ r @ (mimpl @ a @ b)))) != $true)),
% 0.14/0.38 inference(cnf_transformation,[],[f49])).
% 0.14/0.38 thf(f49,plain,(
% 0.14/0.38 ((mvalid @ (mimpl @ (mnot @ (mdia @ r @ a)) @ (mbox @ r @ (mimpl @ a @ b)))) != $true)),
% 0.14/0.38 inference(flattening,[],[f47])).
% 0.14/0.38 thf(f47,plain,(
% 0.14/0.38 ~((mvalid @ (mimpl @ (mnot @ (mdia @ r @ a)) @ (mbox @ r @ (mimpl @ a @ b)))) = $true)),
% 0.14/0.38 inference(fool_elimination,[],[f46])).
% 0.14/0.38 thf(f46,plain,(
% 0.14/0.38 ~(mvalid @ (mimpl @ (mnot @ (mdia @ r @ a)) @ (mbox @ r @ (mimpl @ a @ b))))),
% 0.14/0.38 inference(rectify,[],[f17])).
% 0.14/0.38 thf(f17,negated_conjecture,(
% 0.14/0.38 ~(mvalid @ (mimpl @ (mnot @ (mdia @ r @ a)) @ (mbox @ r @ (mimpl @ a @ b))))),
% 0.14/0.38 inference(negated_conjecture,[],[f16])).
% 0.14/0.38 thf(f16,conjecture,(
% 0.14/0.38 (mvalid @ (mimpl @ (mnot @ (mdia @ r @ a)) @ (mbox @ r @ (mimpl @ a @ b))))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)).
% 0.14/0.38 thf(f78,plain,(
% 0.14/0.38 ($true = (r @ sK1 @ sK2))),
% 0.14/0.38 inference(binary_proxy_clausification,[],[f76])).
% 0.14/0.38 thf(f76,plain,(
% 0.14/0.38 ($false = ((r @ sK1 @ sK2) => ((b @ sK2) | (~ (a @ sK2)))))),
% 0.14/0.38 inference(beta_eta_normalization,[],[f75])).
% 0.14/0.38 thf(f75,plain,(
% 0.14/0.38 ($false = ((^[Y0 : $i]: ((r @ sK1 @ Y0) => ((b @ Y0) | (~ (a @ Y0))))) @ sK2))),
% 0.14/0.38 inference(sigma_clausification,[],[f74])).
% 0.14/0.38 thf(f74,plain,(
% 0.14/0.38 ($false = (!! @ $i @ (^[Y0 : $i]: ((r @ sK1 @ Y0) => ((b @ Y0) | (~ (a @ Y0)))))))),
% 0.14/0.38 inference(binary_proxy_clausification,[],[f72])).
% 0.14/0.38 thf(f81,plain,(
% 0.14/0.38 ($true = (a @ sK2))),
% 0.14/0.38 inference(not_proxy_clausification,[],[f79])).
% 0.14/0.38 thf(f79,plain,(
% 0.14/0.38 ($false = (~ (a @ sK2)))),
% 0.14/0.38 inference(binary_proxy_clausification,[],[f77])).
% 0.14/0.38 thf(f77,plain,(
% 0.14/0.38 (((b @ sK2) | (~ (a @ sK2))) = $false)),
% 0.14/0.38 inference(binary_proxy_clausification,[],[f76])).
% 0.14/0.38 % SZS output end Proof for theBenchmark
% 0.14/0.38 % (3139)------------------------------
% 0.14/0.38 % (3139)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (3139)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (3139)Memory used [KB]: 5500
% 0.14/0.38 % (3139)Time elapsed: 0.006 s
% 0.14/0.38 % (3139)Instructions burned: 6 (million)
% 0.14/0.38 % (3139)------------------------------
% 0.14/0.38 % (3139)------------------------------
% 0.14/0.38 % (3132)Success in time 0.018 s
% 0.14/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------