TSTP Solution File: SEU460^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU460^1 : 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 : n015.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 03:49:00 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU460^1 : TPTP v8.2.0. Released v3.6.0.
% 0.07/0.15 % 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
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 15:41:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 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
% 0.14/0.38 % (1900)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (1898)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)
% 0.14/0.38 % (1902)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)
% 0.14/0.38 % (1900)Instruction limit reached!
% 0.14/0.38 % (1900)------------------------------
% 0.14/0.38 % (1900)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (1900)Termination reason: Unknown
% 0.14/0.38 % (1900)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.39 % (1900)Memory used [KB]: 1023
% 0.14/0.39 % (1900)Time elapsed: 0.003 s
% 0.14/0.39 % (1900)Instructions burned: 2 (million)
% 0.14/0.39 % (1900)------------------------------
% 0.14/0.39 % (1900)------------------------------
% 0.14/0.39 % (1904)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)
% 0.14/0.39 % (1898)Instruction limit reached!
% 0.14/0.39 % (1898)------------------------------
% 0.14/0.39 % (1898)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (1898)Termination reason: Unknown
% 0.14/0.39 % (1898)Termination phase: Property scanning
% 0.14/0.39
% 0.14/0.39 % (1898)Memory used [KB]: 1023
% 0.14/0.39 % (1898)Time elapsed: 0.005 s
% 0.14/0.39 % (1898)Instructions burned: 5 (million)
% 0.14/0.39 % (1898)------------------------------
% 0.14/0.39 % (1898)------------------------------
% 0.14/0.39 % (1904)Instruction limit reached!
% 0.14/0.39 % (1904)------------------------------
% 0.14/0.39 % (1904)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (1904)Termination reason: Unknown
% 0.14/0.39 % (1904)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (1904)Memory used [KB]: 1023
% 0.14/0.39 % (1904)Time elapsed: 0.004 s
% 0.14/0.39 % (1904)Instructions burned: 4 (million)
% 0.14/0.39 % (1904)------------------------------
% 0.14/0.39 % (1904)------------------------------
% 0.14/0.39 % (1899)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)
% 0.14/0.39 % (1903)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.39 % (1902)First to succeed.
% 0.14/0.39 % (1897)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.39 % (1902)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% 0.14/0.39 thf(func_def_0, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_2, type, inv: ($i > $i > $o) > $i > $i > $o).
% 0.14/0.39 thf(func_def_3, type, idem: (($i > $i > $o) > $i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_4, type, infl: (($i > $i > $o) > $i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_5, type, mono: (($i > $i > $o) > $i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_6, type, refl: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_7, type, irrefl: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_8, type, rc: ($i > $i > $o) > $i > $i > $o).
% 0.14/0.39 thf(func_def_9, type, symm: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_10, type, antisymm: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_11, type, asymm: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_12, type, sc: ($i > $i > $o) > $i > $i > $o).
% 0.14/0.39 thf(func_def_13, type, trans: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_14, type, tc: ($i > $i > $o) > $i > $i > $o).
% 0.14/0.39 thf(func_def_15, type, trc: ($i > $i > $o) > $i > $i > $o).
% 0.14/0.39 thf(func_def_16, type, trsc: ($i > $i > $o) > $i > $i > $o).
% 0.14/0.39 thf(func_def_17, type, po: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_18, type, so: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_19, type, total: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_20, type, term: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_21, type, ind: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_22, type, innf: ($i > $i > $o) > $i > $o).
% 0.14/0.39 thf(func_def_23, type, nfof: ($i > $i > $o) > $i > $i > $o).
% 0.14/0.39 thf(func_def_24, type, norm: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_25, type, join: ($i > $i > $o) > $i > $i > $o).
% 0.14/0.39 thf(func_def_26, type, lconfl: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_27, type, sconfl: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_28, type, confl: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_29, type, cr: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_47, type, sK1: $i > $i > $o).
% 0.14/0.39 thf(func_def_48, type, sK2: $i > $i > $o).
% 0.14/0.39 thf(f149,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(avatar_sat_refutation,[],[f130,f144,f148])).
% 0.14/0.39 thf(f148,plain,(
% 0.14/0.39 ~spl0_1),
% 0.14/0.39 inference(avatar_contradiction_clause,[],[f147])).
% 0.14/0.39 thf(f147,plain,(
% 0.14/0.39 $false | ~spl0_1),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f146])).
% 0.14/0.39 thf(f146,plain,(
% 0.14/0.39 ($true = $false) | ~spl0_1),
% 0.14/0.39 inference(forward_demodulation,[],[f125,f138])).
% 0.14/0.39 thf(f138,plain,(
% 0.14/0.39 ((sK1 @ sK4 @ sK3) = $false)),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f136])).
% 0.14/0.39 thf(f136,plain,(
% 0.14/0.39 ((sK1 @ sK4 @ sK3) = $false) | ($true = $false)),
% 0.14/0.39 inference(superposition,[],[f112,f121])).
% 0.14/0.39 thf(f121,plain,(
% 0.14/0.39 ((sK2 @ sK4 @ sK3) = $false)),
% 0.14/0.39 inference(binary_proxy_clausification,[],[f117])).
% 0.14/0.39 thf(f117,plain,(
% 0.14/0.39 (((sK2 @ sK4 @ sK3) | (sK2 @ sK3 @ sK4)) = $false)),
% 0.14/0.39 inference(binary_proxy_clausification,[],[f116])).
% 0.14/0.39 thf(f116,plain,(
% 0.14/0.39 ((((sK1 @ sK4 @ sK3) | (sK1 @ sK3 @ sK4)) => ((sK2 @ sK4 @ sK3) | (sK2 @ sK3 @ sK4))) = $false)),
% 0.14/0.39 inference(beta_eta_normalization,[],[f115])).
% 0.14/0.39 thf(f115,plain,(
% 0.14/0.39 (((^[Y0 : $i]: (((sK1 @ Y0 @ sK3) | (sK1 @ sK3 @ Y0)) => ((sK2 @ Y0 @ sK3) | (sK2 @ sK3 @ Y0)))) @ sK4) = $false)),
% 0.14/0.39 inference(sigma_clausification,[],[f114])).
% 0.14/0.39 thf(f114,plain,(
% 0.14/0.39 ((!! @ $i @ (^[Y0 : $i]: (((sK1 @ Y0 @ sK3) | (sK1 @ sK3 @ Y0)) => ((sK2 @ Y0 @ sK3) | (sK2 @ sK3 @ Y0))))) = $false)),
% 0.14/0.39 inference(beta_eta_normalization,[],[f113])).
% 0.14/0.39 thf(f113,plain,(
% 0.14/0.39 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK1 @ Y1 @ Y0) | (sK1 @ Y0 @ Y1)) => ((sK2 @ Y1 @ Y0) | (sK2 @ Y0 @ Y1)))))) @ sK3) = $false)),
% 0.14/0.39 inference(sigma_clausification,[],[f106])).
% 0.14/0.39 thf(f106,plain,(
% 0.14/0.39 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK1 @ Y1 @ Y0) | (sK1 @ Y0 @ Y1)) => ((sK2 @ Y1 @ Y0) | (sK2 @ Y0 @ Y1))))))) = $false)),
% 0.14/0.39 inference(binary_proxy_clausification,[],[f105])).
% 0.14/0.39 thf(f105,plain,(
% 0.14/0.39 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (sK2 @ Y0 @ Y1)))))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK1 @ Y1 @ Y0) | (sK1 @ Y0 @ Y1)) => ((sK2 @ Y1 @ Y0) | (sK2 @ Y0 @ Y1)))))))) = $false)),
% 0.14/0.39 inference(beta_eta_normalization,[],[f104])).
% 0.14/0.39 thf(f104,plain,(
% 0.14/0.39 (((^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) => (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK1 @ Y2 @ Y1) | (sK1 @ Y1 @ Y2)) => ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2))))))))) @ sK2) = $false)),
% 0.14/0.39 inference(sigma_clausification,[],[f103])).
% 0.14/0.39 thf(f103,plain,(
% 0.14/0.39 ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) => (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK1 @ Y2 @ Y1) | (sK1 @ Y1 @ Y2)) => ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2)))))))))) = $false)),
% 0.14/0.39 inference(beta_eta_normalization,[],[f102])).
% 0.14/0.39 thf(f102,plain,(
% 0.14/0.39 (((^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3)))))) => (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) | (Y0 @ Y2 @ Y3)) => ((Y1 @ Y3 @ Y2) | (Y1 @ Y2 @ Y3))))))))))) @ sK1) = $false)),
% 0.14/0.39 inference(sigma_clausification,[],[f101])).
% 0.14/0.39 thf(f101,plain,(
% 0.14/0.39 ($true != (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3)))))) => (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) | (Y0 @ Y2 @ Y3)) => ((Y1 @ Y3 @ Y2) | (Y1 @ Y2 @ Y3)))))))))))))),
% 0.14/0.39 inference(beta_eta_normalization,[],[f100])).
% 0.14/0.39 thf(f100,plain,(
% 0.14/0.39 ($true != ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6))))))))) @ Y1 @ Y2) => ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6))))))))) @ (Y0 @ Y1) @ (Y0 @ Y2)))))))) @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2)))))))))),
% 0.14/0.39 inference(definition_unfolding,[],[f93,f99,f92])).
% 0.14/0.39 thf(f92,plain,(
% 0.14/0.39 (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2))))))))),
% 0.14/0.39 inference(cnf_transformation,[],[f54])).
% 0.14/0.39 thf(f54,plain,(
% 0.14/0.39 (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2))))))))),
% 0.14/0.39 inference(fool_elimination,[],[f53])).
% 0.14/0.39 thf(f53,plain,(
% 0.14/0.39 (sc = (^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : ((X0 @ X1 @ X2) | (X0 @ X2 @ X1))))),
% 0.14/0.39 inference(rectify,[],[f12])).
% 0.14/0.39 thf(f12,axiom,(
% 0.14/0.39 (sc = (^[X0 : $i > $i > $o, X2 : $i, X3 : $i] : ((X0 @ X2 @ X3) | (X0 @ X3 @ X2))))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_closure)).
% 0.14/0.39 thf(f99,plain,(
% 0.14/0.39 (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6))))))))) @ Y1 @ Y2) => ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6))))))))) @ (Y0 @ Y1) @ (Y0 @ Y2)))))))))),
% 0.14/0.39 inference(definition_unfolding,[],[f94,f97,f97])).
% 0.14/0.39 thf(f97,plain,(
% 0.14/0.39 (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))))))),
% 0.14/0.39 inference(cnf_transformation,[],[f50])).
% 0.14/0.39 thf(f50,plain,(
% 0.14/0.39 (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))))))),
% 0.14/0.39 inference(fool_elimination,[],[f49])).
% 0.14/0.39 thf(f49,plain,(
% 0.14/0.39 (subrel = (^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X2,X3] : ((X0 @ X3 @ X2) => (X1 @ X3 @ X2)))))),
% 0.14/0.39 inference(rectify,[],[f1])).
% 0.14/0.39 thf(f1,axiom,(
% 0.14/0.39 (subrel = (^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X3,X2] : ((X0 @ X2 @ X3) => (X1 @ X2 @ X3)))))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subrel)).
% 0.14/0.39 thf(f94,plain,(
% 0.14/0.39 (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((subrel @ Y1 @ Y2) => (subrel @ (Y0 @ Y1) @ (Y0 @ Y2)))))))))),
% 0.14/0.39 inference(cnf_transformation,[],[f64])).
% 0.14/0.39 thf(f64,plain,(
% 0.14/0.39 (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((subrel @ Y1 @ Y2) => (subrel @ (Y0 @ Y1) @ (Y0 @ Y2)))))))))),
% 0.14/0.39 inference(fool_elimination,[],[f63])).
% 0.14/0.39 thf(f63,plain,(
% 0.14/0.39 ((^[X0 : ($i > $i > $o) > $i > $i > $o] : (! [X1 : $i > $i > $o,X2 : $i > $i > $o] : ((subrel @ X2 @ X1) => (subrel @ (X0 @ X2) @ (X0 @ X1))))) = mono)),
% 0.14/0.39 inference(rectify,[],[f5])).
% 0.14/0.39 thf(f5,axiom,(
% 0.14/0.39 ((^[X4 : ($i > $i > $o) > $i > $i > $o] : (! [X1 : $i > $i > $o,X0 : $i > $i > $o] : ((subrel @ X0 @ X1) => (subrel @ (X4 @ X0) @ (X4 @ X1))))) = mono)),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotonic)).
% 0.14/0.39 thf(f93,plain,(
% 0.14/0.39 ((mono @ sc) != $true)),
% 0.14/0.39 inference(cnf_transformation,[],[f91])).
% 0.14/0.39 thf(f91,plain,(
% 0.14/0.39 ((mono @ sc) != $true)),
% 0.14/0.39 inference(flattening,[],[f38])).
% 0.14/0.39 thf(f38,plain,(
% 0.14/0.39 ~((mono @ sc) = $true)),
% 0.14/0.39 inference(fool_elimination,[],[f37])).
% 0.14/0.39 thf(f37,plain,(
% 0.14/0.39 ~(mono @ sc)),
% 0.14/0.39 inference(rectify,[],[f31])).
% 0.14/0.39 thf(f31,negated_conjecture,(
% 0.14/0.39 ~(mono @ sc)),
% 0.14/0.39 inference(negated_conjecture,[],[f30])).
% 0.14/0.39 thf(f30,conjecture,(
% 0.14/0.39 (mono @ sc)),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_closure_op_is_monotonic)).
% 0.14/0.39 thf(f112,plain,(
% 0.14/0.39 ( ! [X2 : $i,X1 : $i] : (($true = (sK2 @ X1 @ X2)) | ((sK1 @ X1 @ X2) = $false)) )),
% 0.14/0.39 inference(binary_proxy_clausification,[],[f111])).
% 0.14/0.39 thf(f111,plain,(
% 0.14/0.39 ( ! [X2 : $i,X1 : $i] : (($true = ((sK1 @ X1 @ X2) => (sK2 @ X1 @ X2)))) )),
% 0.14/0.39 inference(beta_eta_normalization,[],[f110])).
% 0.14/0.39 thf(f110,plain,(
% 0.14/0.39 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((sK1 @ X1 @ Y0) => (sK2 @ X1 @ Y0))) @ X2))) )),
% 0.14/0.39 inference(pi_clausification,[],[f109])).
% 0.14/0.39 thf(f109,plain,(
% 0.14/0.39 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((sK1 @ X1 @ Y0) => (sK2 @ X1 @ Y0)))))) )),
% 0.14/0.39 inference(beta_eta_normalization,[],[f108])).
% 0.14/0.39 thf(f108,plain,(
% 0.14/0.39 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (sK2 @ Y0 @ Y1))))) @ X1))) )),
% 0.14/0.39 inference(pi_clausification,[],[f107])).
% 0.14/0.39 thf(f107,plain,(
% 0.14/0.39 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (sK2 @ Y0 @ Y1)))))))),
% 0.14/0.39 inference(binary_proxy_clausification,[],[f105])).
% 0.14/0.39 thf(f125,plain,(
% 0.14/0.39 ($true = (sK1 @ sK4 @ sK3)) | ~spl0_1),
% 0.14/0.39 inference(avatar_component_clause,[],[f123])).
% 0.14/0.39 thf(f123,plain,(
% 0.14/0.39 spl0_1 <=> ($true = (sK1 @ sK4 @ sK3))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.14/0.39 thf(f144,plain,(
% 0.14/0.39 ~spl0_2),
% 0.14/0.39 inference(avatar_contradiction_clause,[],[f143])).
% 0.14/0.39 thf(f143,plain,(
% 0.14/0.39 $false | ~spl0_2),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f139])).
% 0.14/0.39 thf(f139,plain,(
% 0.14/0.39 ($true = $false) | ~spl0_2),
% 0.14/0.39 inference(superposition,[],[f134,f129])).
% 0.14/0.39 thf(f129,plain,(
% 0.14/0.39 ($true = (sK1 @ sK3 @ sK4)) | ~spl0_2),
% 0.14/0.39 inference(avatar_component_clause,[],[f127])).
% 0.14/0.39 thf(f127,plain,(
% 0.14/0.39 spl0_2 <=> ($true = (sK1 @ sK3 @ sK4))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.14/0.39 thf(f134,plain,(
% 0.14/0.39 ((sK1 @ sK3 @ sK4) = $false)),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f131])).
% 0.14/0.39 thf(f131,plain,(
% 0.14/0.39 ((sK1 @ sK3 @ sK4) = $false) | ($true = $false)),
% 0.14/0.39 inference(superposition,[],[f120,f112])).
% 0.14/0.39 thf(f120,plain,(
% 0.14/0.39 ((sK2 @ sK3 @ sK4) = $false)),
% 0.14/0.39 inference(binary_proxy_clausification,[],[f117])).
% 0.14/0.39 thf(f130,plain,(
% 0.14/0.39 spl0_1 | spl0_2),
% 0.14/0.39 inference(avatar_split_clause,[],[f119,f127,f123])).
% 0.14/0.39 thf(f119,plain,(
% 0.14/0.39 ($true = (sK1 @ sK3 @ sK4)) | ($true = (sK1 @ sK4 @ sK3))),
% 0.14/0.39 inference(binary_proxy_clausification,[],[f118])).
% 0.14/0.39 thf(f118,plain,(
% 0.14/0.39 ($true = ((sK1 @ sK4 @ sK3) | (sK1 @ sK3 @ sK4)))),
% 0.14/0.39 inference(binary_proxy_clausification,[],[f116])).
% 0.14/0.39 % SZS output end Proof for theBenchmark
% 0.14/0.39 % (1902)------------------------------
% 0.14/0.39 % (1902)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (1902)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (1902)Memory used [KB]: 5628
% 0.14/0.39 % (1902)Time elapsed: 0.010 s
% 0.14/0.39 % (1902)Instructions burned: 10 (million)
% 0.14/0.39 % (1902)------------------------------
% 0.14/0.39 % (1902)------------------------------
% 0.14/0.39 % (1896)Success in time 0.019 s
% 0.14/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------