TSTP Solution File: SWV435^3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV435^3 : TPTP v8.1.2. 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 : n013.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 : Sun May 5 10:34:34 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
% 0.07/0.13 % Problem : SWV435^3 : TPTP v8.1.2. 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
% 0.14/0.35 % Computer : n013.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 : Fri May 3 21:19:23 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/tmp/tmp.r9Q6XxGI1u/Vampire---4.8_21855
% 0.14/0.37 % (21970)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.14/0.37 % (21968)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.37 % (21966)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 Vampire---4 for (2999ds/27Mi)
% 0.14/0.37 % (21969)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.14/0.37 % (21967)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.37 % (21965)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 Vampire---4 for (2999ds/4Mi)
% 0.14/0.37 % (21971)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.37 % (21968)Instruction limit reached!
% 0.14/0.37 % (21968)------------------------------
% 0.14/0.37 % (21968)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (21968)Termination reason: Unknown
% 0.14/0.37 % (21968)Termination phase: Property scanning
% 0.14/0.37
% 0.14/0.37 % (21968)Memory used [KB]: 1023
% 0.14/0.37 % (21968)Time elapsed: 0.003 s
% 0.14/0.37 % (21968)Instructions burned: 2 (million)
% 0.14/0.37 % (21968)------------------------------
% 0.14/0.37 % (21968)------------------------------
% 0.14/0.37 % (21967)Instruction limit reached!
% 0.14/0.37 % (21967)------------------------------
% 0.14/0.37 % (21967)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (21967)Termination reason: Unknown
% 0.14/0.37 % (21967)Termination phase: Property scanning
% 0.14/0.37
% 0.14/0.37 % (21967)Memory used [KB]: 1023
% 0.14/0.37 % (21967)Time elapsed: 0.003 s
% 0.14/0.37 % (21967)Instructions burned: 3 (million)
% 0.14/0.37 % (21967)------------------------------
% 0.14/0.37 % (21967)------------------------------
% 0.14/0.37 % (21971)Instruction limit reached!
% 0.14/0.37 % (21971)------------------------------
% 0.14/0.37 % (21971)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (21971)Termination reason: Unknown
% 0.14/0.37 % (21971)Termination phase: Property scanning
% 0.14/0.37
% 0.14/0.37 % (21971)Memory used [KB]: 1023
% 0.14/0.37 % (21971)Time elapsed: 0.003 s
% 0.14/0.37 % (21971)Instructions burned: 3 (million)
% 0.14/0.37 % (21971)------------------------------
% 0.14/0.37 % (21971)------------------------------
% 0.14/0.37 % (21969)Refutation not found, incomplete strategy
% 0.14/0.37 % (21969)------------------------------
% 0.14/0.37 % (21969)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (21969)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % (21969)Memory used [KB]: 5500
% 0.14/0.37 % (21969)Time elapsed: 0.004 s
% 0.14/0.37 % (21969)Instructions burned: 4 (million)
% 0.14/0.37 % (21969)------------------------------
% 0.14/0.37 % (21969)------------------------------
% 0.14/0.37 % (21964)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.14/0.37 % (21965)Instruction limit reached!
% 0.14/0.37 % (21965)------------------------------
% 0.14/0.37 % (21965)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (21965)Termination reason: Unknown
% 0.14/0.37 % (21965)Termination phase: Saturation
% 0.14/0.37
% 0.14/0.37 % (21965)Memory used [KB]: 5500
% 0.14/0.37 % (21965)Time elapsed: 0.004 s
% 0.14/0.37 % (21965)Instructions burned: 5 (million)
% 0.14/0.37 % (21965)------------------------------
% 0.14/0.37 % (21965)------------------------------
% 0.14/0.37 % (21966)First to succeed.
% 0.14/0.38 % (21970)Also succeeded, but the first one will report.
% 0.14/0.38 % (21966)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for Vampire---4
% 0.14/0.38 % SZS output start Proof for Vampire---4
% 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, rel: $i > $i > $o).
% 0.14/0.38 thf(func_def_22, type, icl_atom: ($i > $o) > $i > $o).
% 0.14/0.38 thf(func_def_23, type, icl_princ: ($i > $o) > $i > $o).
% 0.14/0.38 thf(func_def_24, type, icl_and: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.38 thf(func_def_25, type, icl_or: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.38 thf(func_def_26, type, icl_impl: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.38 thf(func_def_27, type, icl_true: $i > $o).
% 0.14/0.38 thf(func_def_28, type, icl_false: $i > $o).
% 0.14/0.38 thf(func_def_29, type, icl_says: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.38 thf(func_def_30, type, iclval: ($i > $o) > $o).
% 0.14/0.38 thf(func_def_31, type, a: $i > $o).
% 0.14/0.38 thf(func_def_32, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.14/0.38 thf(func_def_49, type, ph3: !>[X0: $tType]:(X0)).
% 0.14/0.38 thf(f125,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(trivial_inequality_removal,[],[f124])).
% 0.14/0.38 thf(f124,plain,(
% 0.14/0.38 ($true = $false)),
% 0.14/0.38 inference(superposition,[],[f119,f122])).
% 0.14/0.38 thf(f122,plain,(
% 0.14/0.38 ( ! [X1 : $i] : (($true = (a @ X1))) )),
% 0.14/0.38 inference(beta_eta_normalization,[],[f121])).
% 0.14/0.38 thf(f121,plain,(
% 0.14/0.38 ( ! [X1 : $i] : (((a @ X1) = ((^[Y0 : $i]: ($true)) @ X1))) )),
% 0.14/0.38 inference(argument_congruence,[],[f112])).
% 0.14/0.38 thf(f112,plain,(
% 0.14/0.38 (a = (^[Y0 : $i]: ($true)))),
% 0.14/0.38 inference(beta_eta_normalization,[],[f111])).
% 0.14/0.38 thf(f111,plain,(
% 0.14/0.38 ((^[Y0 : $i]: ($true)) = ((^[Y0 : $i > $o]: (Y0)) @ a))),
% 0.14/0.38 inference(definition_unfolding,[],[f98,f100])).
% 0.14/0.38 thf(f100,plain,(
% 0.14/0.38 (mtrue = ((^[Y0 : $i > $o]: (Y0)) @ a))),
% 0.14/0.38 inference(definition_unfolding,[],[f76,f99])).
% 0.14/0.38 thf(f99,plain,(
% 0.14/0.38 (icl_true = ((^[Y0 : $i > $o]: (Y0)) @ a))),
% 0.14/0.38 inference(definition_unfolding,[],[f86,f78])).
% 0.14/0.38 thf(f78,plain,(
% 0.14/0.38 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.14/0.38 inference(cnf_transformation,[],[f42])).
% 0.14/0.38 thf(f42,plain,(
% 0.14/0.38 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.14/0.38 inference(fool_elimination,[],[f41])).
% 0.14/0.38 thf(f41,plain,(
% 0.14/0.38 ((^[X0 : $i > $o] : (X0)) = icl_princ)),
% 0.14/0.38 inference(rectify,[],[f17])).
% 0.14/0.38 thf(f17,axiom,(
% 0.14/0.38 ((^[X5 : $i > $o] : (X5)) = icl_princ)),
% 0.14/0.38 file('/export/starexec/sandbox2/tmp/tmp.r9Q6XxGI1u/Vampire---4.8_21855',icl_princ)).
% 0.14/0.38 thf(f86,plain,(
% 0.14/0.38 (icl_true = (icl_princ @ a))),
% 0.14/0.38 inference(cnf_transformation,[],[f25])).
% 0.14/0.38 thf(f25,axiom,(
% 0.14/0.38 (icl_true = (icl_princ @ a))),
% 0.14/0.38 file('/export/starexec/sandbox2/tmp/tmp.r9Q6XxGI1u/Vampire---4.8_21855',ax1)).
% 0.14/0.38 thf(f76,plain,(
% 0.14/0.38 (mtrue = icl_true)),
% 0.14/0.38 inference(cnf_transformation,[],[f21])).
% 0.14/0.38 thf(f21,axiom,(
% 0.14/0.38 (mtrue = icl_true)),
% 0.14/0.38 file('/export/starexec/sandbox2/tmp/tmp.r9Q6XxGI1u/Vampire---4.8_21855',icl_true)).
% 0.14/0.38 thf(f98,plain,(
% 0.14/0.38 (mtrue = (^[Y0 : $i]: ($true)))),
% 0.14/0.38 inference(cnf_transformation,[],[f61])).
% 0.14/0.38 thf(f61,plain,(
% 0.14/0.38 (mtrue = (^[Y0 : $i]: ($true)))),
% 0.14/0.38 inference(fool_elimination,[],[f2])).
% 0.14/0.38 thf(f2,axiom,(
% 0.14/0.38 (mtrue = (^[X0 : $i] : ($true)))),
% 0.14/0.38 file('/export/starexec/sandbox2/tmp/tmp.r9Q6XxGI1u/Vampire---4.8_21855',mtrue)).
% 0.14/0.38 thf(f119,plain,(
% 0.14/0.38 ($false = (a @ sK2))),
% 0.14/0.38 inference(binary_proxy_clausification,[],[f118])).
% 0.14/0.38 thf(f118,plain,(
% 0.14/0.38 (((rel @ sK1 @ sK2) => (a @ sK2)) = $false)),
% 0.14/0.38 inference(beta_eta_normalization,[],[f117])).
% 0.14/0.38 thf(f117,plain,(
% 0.14/0.38 (((^[Y0 : $i]: ((rel @ sK1 @ Y0) => (a @ Y0))) @ sK2) = $false)),
% 0.14/0.38 inference(sigma_clausification,[],[f116])).
% 0.14/0.38 thf(f116,plain,(
% 0.14/0.38 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK1 @ Y0) => (a @ Y0)))))),
% 0.14/0.38 inference(beta_eta_normalization,[],[f115])).
% 0.14/0.38 thf(f115,plain,(
% 0.14/0.38 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (a @ Y1))))) @ sK1))),
% 0.14/0.38 inference(sigma_clausification,[],[f114])).
% 0.14/0.38 thf(f114,plain,(
% 0.14/0.38 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (a @ Y1)))))))),
% 0.14/0.38 inference(boolean_simplification,[],[f113])).
% 0.14/0.38 thf(f113,plain,(
% 0.14/0.38 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((a @ Y1) | $false)))))))),
% 0.14/0.38 inference(beta_eta_normalization,[],[f110])).
% 0.14/0.38 thf(f110,plain,(
% 0.14/0.38 ($true != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ (^[Y0 : $i]: ($false)))))),
% 0.14/0.38 inference(definition_unfolding,[],[f94,f109,f108,f78,f107])).
% 0.14/0.38 thf(f107,plain,(
% 0.14/0.38 (icl_false = (^[Y0 : $i]: ($false)))),
% 0.14/0.38 inference(definition_unfolding,[],[f95,f96])).
% 0.14/0.38 thf(f96,plain,(
% 0.14/0.38 (mfalse = (^[Y0 : $i]: ($false)))),
% 0.14/0.38 inference(cnf_transformation,[],[f49])).
% 0.14/0.38 thf(f49,plain,(
% 0.14/0.38 (mfalse = (^[Y0 : $i]: ($false)))),
% 0.14/0.38 inference(fool_elimination,[],[f1])).
% 0.14/0.38 thf(f1,axiom,(
% 0.14/0.38 (mfalse = (^[X0 : $i] : ($false)))),
% 0.14/0.38 file('/export/starexec/sandbox2/tmp/tmp.r9Q6XxGI1u/Vampire---4.8_21855',mfalse)).
% 0.14/0.38 thf(f95,plain,(
% 0.14/0.38 (mfalse = icl_false)),
% 0.14/0.38 inference(cnf_transformation,[],[f22])).
% 0.14/0.38 thf(f22,axiom,(
% 0.14/0.38 (mfalse = icl_false)),
% 0.14/0.38 file('/export/starexec/sandbox2/tmp/tmp.r9Q6XxGI1u/Vampire---4.8_21855',icl_false)).
% 0.14/0.38 thf(f108,plain,(
% 0.14/0.38 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ Y0 @ Y1))))))),
% 0.14/0.38 inference(definition_unfolding,[],[f73,f97,f90])).
% 0.14/0.38 thf(f90,plain,(
% 0.14/0.38 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.14/0.38 inference(cnf_transformation,[],[f65])).
% 0.14/0.38 thf(f65,plain,(
% 0.14/0.38 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.14/0.38 inference(fool_elimination,[],[f64])).
% 0.14/0.38 thf(f64,plain,(
% 0.14/0.38 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 0.14/0.38 inference(rectify,[],[f4])).
% 0.14/0.38 thf(f4,axiom,(
% 0.14/0.38 (mor = (^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X2 @ X1) | (X0 @ X1))))),
% 0.14/0.38 file('/export/starexec/sandbox2/tmp/tmp.r9Q6XxGI1u/Vampire---4.8_21855',mor)).
% 0.14/0.38 thf(f97,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,[],[f34])).
% 0.14/0.38 thf(f34,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,[],[f33])).
% 0.14/0.38 thf(f33,plain,(
% 0.14/0.38 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))))),
% 0.14/0.38 inference(rectify,[],[f8])).
% 0.14/0.38 thf(f8,axiom,(
% 0.14/0.38 (mbox = (^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))))),
% 0.14/0.38 file('/export/starexec/sandbox2/tmp/tmp.r9Q6XxGI1u/Vampire---4.8_21855',mbox)).
% 0.14/0.38 thf(f73,plain,(
% 0.14/0.38 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
% 0.14/0.38 inference(cnf_transformation,[],[f44])).
% 0.14/0.38 thf(f44,plain,(
% 0.14/0.38 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
% 0.14/0.38 inference(fool_elimination,[],[f43])).
% 0.14/0.38 thf(f43,plain,(
% 0.14/0.38 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mor @ X0 @ X1))) = icl_says)),
% 0.14/0.38 inference(rectify,[],[f23])).
% 0.14/0.38 thf(f23,axiom,(
% 0.14/0.38 ((^[X7 : $i > $o, X9 : $i > $o] : (mbox @ rel @ (mor @ X7 @ X9))) = icl_says)),
% 0.14/0.38 file('/export/starexec/sandbox2/tmp/tmp.r9Q6XxGI1u/Vampire---4.8_21855',icl_says)).
% 0.14/0.38 thf(f109,plain,(
% 0.14/0.38 (iclval = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)))),
% 0.14/0.38 inference(definition_unfolding,[],[f85,f80])).
% 0.14/0.38 thf(f80,plain,(
% 0.14/0.38 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.14/0.38 inference(cnf_transformation,[],[f36])).
% 0.14/0.38 thf(f36,plain,(
% 0.14/0.38 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.14/0.38 inference(fool_elimination,[],[f35])).
% 0.14/0.38 thf(f35,plain,(
% 0.14/0.38 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.14/0.38 inference(rectify,[],[f12])).
% 0.14/0.38 thf(f12,axiom,(
% 0.14/0.38 (mvalid = (^[X5 : $i > $o] : (! [X6] : (X5 @ X6))))),
% 0.14/0.38 file('/export/starexec/sandbox2/tmp/tmp.r9Q6XxGI1u/Vampire---4.8_21855',mvalid)).
% 0.14/0.38 thf(f85,plain,(
% 0.14/0.38 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.14/0.38 inference(cnf_transformation,[],[f56])).
% 0.14/0.38 thf(f56,plain,(
% 0.14/0.38 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.14/0.38 inference(fool_elimination,[],[f24])).
% 0.14/0.38 thf(f24,axiom,(
% 0.14/0.38 ((^[X0 : $i > $o] : (mvalid @ X0)) = iclval)),
% 0.14/0.38 file('/export/starexec/sandbox2/tmp/tmp.r9Q6XxGI1u/Vampire---4.8_21855',icl_s4_valid)).
% 0.14/0.38 thf(f94,plain,(
% 0.14/0.38 ((iclval @ (icl_says @ (icl_princ @ a) @ icl_false)) != $true)),
% 0.14/0.38 inference(cnf_transformation,[],[f72])).
% 0.14/0.38 thf(f72,plain,(
% 0.14/0.38 ((iclval @ (icl_says @ (icl_princ @ a) @ icl_false)) != $true)),
% 0.14/0.38 inference(flattening,[],[f55])).
% 0.14/0.38 thf(f55,plain,(
% 0.14/0.38 ~((iclval @ (icl_says @ (icl_princ @ a) @ icl_false)) = $true)),
% 0.14/0.38 inference(fool_elimination,[],[f54])).
% 0.14/0.38 thf(f54,plain,(
% 0.14/0.38 ~(iclval @ (icl_says @ (icl_princ @ a) @ icl_false))),
% 0.14/0.38 inference(rectify,[],[f27])).
% 0.14/0.38 thf(f27,negated_conjecture,(
% 0.14/0.38 ~(iclval @ (icl_says @ (icl_princ @ a) @ icl_false))),
% 0.14/0.38 inference(negated_conjecture,[],[f26])).
% 0.14/0.38 thf(f26,conjecture,(
% 0.14/0.38 (iclval @ (icl_says @ (icl_princ @ a) @ icl_false))),
% 0.14/0.38 file('/export/starexec/sandbox2/tmp/tmp.r9Q6XxGI1u/Vampire---4.8_21855',untrust)).
% 0.14/0.38 % SZS output end Proof for Vampire---4
% 0.14/0.38 % (21966)------------------------------
% 0.14/0.38 % (21966)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (21966)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (21966)Memory used [KB]: 5500
% 0.14/0.38 % (21966)Time elapsed: 0.006 s
% 0.14/0.38 % (21966)Instructions burned: 4 (million)
% 0.14/0.38 % (21966)------------------------------
% 0.14/0.38 % (21966)------------------------------
% 0.14/0.38 % (21963)Success in time 0.007 s
% 0.14/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------