TSTP Solution File: SWV429^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV429^1 : 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 : n012.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 10:34:30 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 : SWV429^1 : TPTP v8.1.2. 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 : n012.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 21:05:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 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/sandbox2/tmp/tmp.c5HMWbeK4M/Vampire---4.8_15535
% 0.14/0.37 % (15686)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)
% 0.14/0.38 % (15690)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)
% 0.14/0.38 % (15690)Instruction limit reached!
% 0.14/0.38 % (15690)------------------------------
% 0.14/0.38 % (15690)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (15690)Termination reason: Unknown
% 0.14/0.38 % (15690)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (15690)Memory used [KB]: 1023
% 0.14/0.38 % (15690)Time elapsed: 0.004 s
% 0.14/0.38 % (15690)Instructions burned: 2 (million)
% 0.14/0.38 % (15690)------------------------------
% 0.14/0.38 % (15690)------------------------------
% 0.14/0.38 % (15686)First to succeed.
% 0.14/0.38 % (15686)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) > $o).
% 0.14/0.38 thf(func_def_31, type, icl_impl_princ: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.38 thf(func_def_32, type, a: $i > $o).
% 0.14/0.38 thf(f120,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(trivial_inequality_removal,[],[f119])).
% 0.14/0.38 thf(f119,plain,(
% 0.14/0.38 ($false = $true)),
% 0.14/0.38 inference(beta_eta_normalization,[],[f118])).
% 0.14/0.38 thf(f118,plain,(
% 0.14/0.38 (((^[Y0 : $i]: ($true)) @ sK2) = $false)),
% 0.14/0.38 inference(sigma_clausification,[],[f117])).
% 0.14/0.38 thf(f117,plain,(
% 0.14/0.38 ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false)),
% 0.14/0.38 inference(beta_eta_normalization,[],[f116])).
% 0.14/0.38 thf(f116,plain,(
% 0.14/0.38 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true)))) @ sK1) = $false)),
% 0.14/0.38 inference(sigma_clausification,[],[f115])).
% 0.14/0.38 thf(f115,plain,(
% 0.14/0.38 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true))))) != $true)),
% 0.14/0.38 inference(boolean_simplification,[],[f114])).
% 0.14/0.38 thf(f114,plain,(
% 0.14/0.38 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => $true))))) != $true)),
% 0.14/0.38 inference(boolean_simplification,[],[f113])).
% 0.14/0.38 thf(f113,plain,(
% 0.14/0.38 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (a @ Y1)) | (a @ Y1))))))) != $true)),
% 0.14/0.38 inference(beta_eta_normalization,[],[f112])).
% 0.14/0.38 thf(f112,plain,(
% 0.14/0.38 (((^[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 > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: (Y0)) @ a))) != $true)),
% 0.14/0.38 inference(definition_unfolding,[],[f77,f110,f111,f88,f88])).
% 0.14/0.38 thf(f88,plain,(
% 0.14/0.38 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.14/0.38 inference(cnf_transformation,[],[f66])).
% 0.14/0.38 thf(f66,plain,(
% 0.14/0.38 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.14/0.38 inference(fool_elimination,[],[f65])).
% 0.14/0.38 thf(f65,plain,(
% 0.14/0.38 (icl_princ = (^[X0 : $i > $o] : (X0)))),
% 0.14/0.38 inference(rectify,[],[f17])).
% 0.14/0.38 thf(f17,axiom,(
% 0.14/0.38 (icl_princ = (^[X5 : $i > $o] : (X5)))),
% 0.14/0.38 file('/export/starexec/sandbox2/tmp/tmp.c5HMWbeK4M/Vampire---4.8_15535',icl_princ)).
% 0.14/0.38 thf(f111,plain,(
% 0.14/0.38 (icl_impl_princ = (^[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 > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))))),
% 0.14/0.38 inference(definition_unfolding,[],[f84,f90,f101])).
% 0.14/0.38 thf(f101,plain,(
% 0.14/0.38 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.14/0.38 inference(definition_unfolding,[],[f76,f80,f95])).
% 0.14/0.38 thf(f95,plain,(
% 0.14/0.38 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.14/0.38 inference(cnf_transformation,[],[f49])).
% 0.14/0.38 thf(f49,plain,(
% 0.14/0.38 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.14/0.38 inference(fool_elimination,[],[f48])).
% 0.14/0.38 thf(f48,plain,(
% 0.14/0.38 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.14/0.38 inference(rectify,[],[f3])).
% 0.14/0.38 thf(f3,axiom,(
% 0.14/0.38 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.14/0.38 file('/export/starexec/sandbox2/tmp/tmp.c5HMWbeK4M/Vampire---4.8_15535',mnot)).
% 0.14/0.38 thf(f80,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,[],[f37])).
% 0.14/0.38 thf(f37,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,[],[f36])).
% 0.14/0.38 thf(f36,plain,(
% 0.14/0.38 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ 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] : ((X2 @ X1) | (X0 @ X1))) = mor)),
% 0.14/0.38 file('/export/starexec/sandbox2/tmp/tmp.c5HMWbeK4M/Vampire---4.8_15535',mor)).
% 0.14/0.38 thf(f76,plain,(
% 0.14/0.38 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.14/0.38 inference(cnf_transformation,[],[f69])).
% 0.14/0.38 thf(f69,plain,(
% 0.14/0.38 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.14/0.38 inference(fool_elimination,[],[f68])).
% 0.14/0.38 thf(f68,plain,(
% 0.14/0.38 (mimpl = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.14/0.38 inference(rectify,[],[f6])).
% 0.14/0.38 thf(f6,axiom,(
% 0.14/0.38 (mimpl = (^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)))),
% 0.14/0.38 file('/export/starexec/sandbox2/tmp/tmp.c5HMWbeK4M/Vampire---4.8_15535',mimpl)).
% 0.14/0.38 thf(f90,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,[],[f45])).
% 0.14/0.38 thf(f45,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,[],[f44])).
% 0.14/0.38 thf(f44,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/tmp/tmp.c5HMWbeK4M/Vampire---4.8_15535',mbox)).
% 0.14/0.38 thf(f84,plain,(
% 0.14/0.38 (icl_impl_princ = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.14/0.38 inference(cnf_transformation,[],[f51])).
% 0.14/0.38 thf(f51,plain,(
% 0.14/0.38 (icl_impl_princ = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.14/0.38 inference(fool_elimination,[],[f50])).
% 0.14/0.38 thf(f50,plain,(
% 0.14/0.38 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mimpl @ X0 @ X1))) = icl_impl_princ)),
% 0.14/0.38 inference(rectify,[],[f25])).
% 0.14/0.38 thf(f25,axiom,(
% 0.14/0.38 ((^[X7 : $i > $o, X8 : $i > $o] : (mbox @ rel @ (mimpl @ X7 @ X8))) = icl_impl_princ)),
% 0.14/0.38 file('/export/starexec/sandbox2/tmp/tmp.c5HMWbeK4M/Vampire---4.8_15535',icl_impl_princ)).
% 0.14/0.38 thf(f110,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,[],[f83,f81])).
% 0.14/0.38 thf(f81,plain,(
% 0.14/0.38 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.14/0.38 inference(cnf_transformation,[],[f59])).
% 0.14/0.38 thf(f59,plain,(
% 0.14/0.38 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.14/0.38 inference(fool_elimination,[],[f58])).
% 0.14/0.38 thf(f58,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.c5HMWbeK4M/Vampire---4.8_15535',mvalid)).
% 0.14/0.38 thf(f83,plain,(
% 0.14/0.38 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.14/0.38 inference(cnf_transformation,[],[f67])).
% 0.14/0.38 thf(f67,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 (iclval = (^[X0 : $i > $o] : (mvalid @ X0)))),
% 0.14/0.38 file('/export/starexec/sandbox2/tmp/tmp.c5HMWbeK4M/Vampire---4.8_15535',icl_s4_valid)).
% 0.14/0.38 thf(f77,plain,(
% 0.14/0.38 ((iclval @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ a))) != $true)),
% 0.14/0.38 inference(cnf_transformation,[],[f74])).
% 0.14/0.38 thf(f74,plain,(
% 0.14/0.38 ((iclval @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ a))) != $true)),
% 0.14/0.38 inference(flattening,[],[f55])).
% 0.14/0.38 thf(f55,plain,(
% 0.14/0.38 ~((iclval @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ a))) = $true)),
% 0.14/0.38 inference(fool_elimination,[],[f54])).
% 0.14/0.38 thf(f54,plain,(
% 0.14/0.38 ~(iclval @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ a)))),
% 0.14/0.38 inference(rectify,[],[f27])).
% 0.14/0.38 thf(f27,negated_conjecture,(
% 0.14/0.38 ~(iclval @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ a)))),
% 0.14/0.38 inference(negated_conjecture,[],[f26])).
% 0.14/0.38 thf(f26,conjecture,(
% 0.14/0.38 (iclval @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ a)))),
% 0.14/0.38 file('/export/starexec/sandbox2/tmp/tmp.c5HMWbeK4M/Vampire---4.8_15535',conj)).
% 0.14/0.38 % SZS output end Proof for Vampire---4
% 0.14/0.38 % (15686)------------------------------
% 0.14/0.38 % (15686)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (15686)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (15686)Memory used [KB]: 5500
% 0.14/0.38 % (15686)Time elapsed: 0.006 s
% 0.14/0.38 % (15686)Instructions burned: 4 (million)
% 0.14/0.38 % (15686)------------------------------
% 0.14/0.38 % (15686)------------------------------
% 0.14/0.38 % (15685)Success in time 0.022 s
% 0.14/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------