TSTP Solution File: SEU581^2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU581^2 : TPTP v8.2.0. Released v3.7.0.
% 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 : n008.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 03:49:44 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU581^2 : TPTP v8.2.0. Released v3.7.0.
% 0.06/0.13 % 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
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 18:10:37 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TH0_THM_EQU_NAR problem
% 0.13/0.34 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
% 0.13/0.36 % (19360)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 (3000ds/4Mi)
% 0.13/0.36 % (19366)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.13/0.36 % (19361)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 (3000ds/27Mi)
% 0.13/0.37 % (19361)First to succeed.
% 0.13/0.37 % (19366)Refutation not found, incomplete strategy
% 0.13/0.37 % (19366)------------------------------
% 0.13/0.37 % (19366)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (19366)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 % (19366)Memory used [KB]: 5500
% 0.13/0.37 % (19366)Time elapsed: 0.004 s
% 0.13/0.37 % (19366)Instructions burned: 2 (million)
% 0.13/0.37 % (19366)------------------------------
% 0.13/0.37 % (19366)------------------------------
% 0.13/0.37 % (19360)Instruction limit reached!
% 0.13/0.37 % (19360)------------------------------
% 0.13/0.37 % (19360)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (19360)Termination reason: Unknown
% 0.13/0.37 % (19360)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (19360)Memory used [KB]: 5500
% 0.13/0.37 % (19360)Time elapsed: 0.005 s
% 0.13/0.37 % (19360)Instructions burned: 4 (million)
% 0.13/0.37 % (19360)------------------------------
% 0.13/0.37 % (19360)------------------------------
% 0.13/0.37 % (19365)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.13/0.37 % (19361)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% 0.13/0.37 thf(func_def_0, type, in: $i > $i > $o).
% 0.13/0.37 thf(func_def_1, type, powerset: $i > $i).
% 0.13/0.37 thf(func_def_2, type, dsetconstr: $i > ($i > $o) > $i).
% 0.13/0.37 thf(func_def_3, type, subset: $i > $i > $o).
% 0.13/0.37 thf(func_def_7, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.13/0.37 thf(func_def_17, type, sK1: $i > $o).
% 0.13/0.37 thf(func_def_19, type, ph3: !>[X0: $tType]:(X0)).
% 0.13/0.37 thf(f39,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(trivial_inequality_removal,[],[f38])).
% 0.13/0.37 thf(f38,plain,(
% 0.13/0.37 ($true != $true)),
% 0.13/0.37 inference(superposition,[],[f33,f36])).
% 0.13/0.37 thf(f36,plain,(
% 0.13/0.37 ( ! [X0 : $i,X1 : $i > $o] : (((subset @ (dsetconstr @ X0 @ X1) @ X0) = $true)) )),
% 0.13/0.37 inference(trivial_inequality_removal,[],[f35])).
% 0.13/0.37 thf(f35,plain,(
% 0.13/0.37 ( ! [X0 : $i,X1 : $i > $o] : (($false = $true) | ((subset @ (dsetconstr @ X0 @ X1) @ X0) = $true)) )),
% 0.13/0.37 inference(superposition,[],[f32,f27])).
% 0.13/0.37 thf(f27,plain,(
% 0.13/0.37 ( ! [X2 : $i,X1 : $i > $o] : (((in @ (dsetconstr @ X2 @ X1) @ (powerset @ X2)) = $true)) )),
% 0.13/0.37 inference(beta_eta_normalization,[],[f26])).
% 0.13/0.37 thf(f26,plain,(
% 0.13/0.37 ( ! [X2 : $i,X1 : $i > $o] : (($true = ((^[Y0 : $i]: (in @ (dsetconstr @ Y0 @ X1) @ (powerset @ Y0))) @ X2))) )),
% 0.13/0.37 inference(pi_clausification,[],[f25])).
% 0.13/0.37 thf(f25,plain,(
% 0.13/0.37 ( ! [X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (in @ (dsetconstr @ Y0 @ X1) @ (powerset @ Y0)))) = $true)) )),
% 0.13/0.37 inference(beta_eta_normalization,[],[f24])).
% 0.13/0.37 thf(f24,plain,(
% 0.13/0.37 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (in @ (dsetconstr @ Y1 @ Y0) @ (powerset @ Y1))))) @ X1))) )),
% 0.13/0.37 inference(pi_clausification,[],[f23])).
% 0.13/0.37 thf(f23,plain,(
% 0.13/0.37 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (in @ (dsetconstr @ Y1 @ Y0) @ (powerset @ Y1)))))) = $true)),
% 0.13/0.37 inference(beta_eta_normalization,[],[f21])).
% 0.13/0.37 thf(f21,plain,(
% 0.13/0.37 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (in @ (dsetconstr @ Y1 @ (^[Y2 : $i]: (Y0 @ Y2))) @ (powerset @ Y1)))))) = $true)),
% 0.13/0.37 inference(definition_unfolding,[],[f19,f16])).
% 0.13/0.37 thf(f16,plain,(
% 0.13/0.37 (sepInPowerset = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (in @ (dsetconstr @ Y1 @ (^[Y2 : $i]: (Y0 @ Y2))) @ (powerset @ Y1)))))))),
% 0.13/0.37 inference(cnf_transformation,[],[f11])).
% 0.13/0.37 thf(f11,plain,(
% 0.13/0.37 (sepInPowerset = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (in @ (dsetconstr @ Y1 @ (^[Y2 : $i]: (Y0 @ Y2))) @ (powerset @ Y1)))))))),
% 0.13/0.37 inference(fool_elimination,[],[f10])).
% 0.13/0.37 thf(f10,plain,(
% 0.13/0.37 (! [X0,X1 : $i > $o] : (in @ (dsetconstr @ X0 @ (^[X2 : $i] : (X1 @ X2))) @ (powerset @ X0)) = sepInPowerset)),
% 0.13/0.37 inference(rectify,[],[f2])).
% 0.13/0.37 thf(f2,axiom,(
% 0.13/0.37 (! [X0,X2 : $i > $o] : (in @ (dsetconstr @ X0 @ (^[X3 : $i] : (X2 @ X3))) @ (powerset @ X0)) = sepInPowerset)),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sepInPowerset)).
% 0.13/0.37 thf(f19,plain,(
% 0.13/0.37 (sepInPowerset = $true)),
% 0.13/0.37 inference(cnf_transformation,[],[f15])).
% 0.13/0.37 thf(f15,plain,(
% 0.13/0.37 (sepInPowerset = $true) & ((subset @ (dsetconstr @ sK0 @ (^[Y0 : $i]: (sK1 @ Y0))) @ sK0) != $true) & (powersetE1 = $true)),
% 0.13/0.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f13,f14])).
% 0.13/0.37 thf(f14,plain,(
% 0.13/0.37 ? [X0,X1 : $i > $o] : ((subset @ (dsetconstr @ X0 @ (^[Y0 : $i]: (X1 @ Y0))) @ X0) != $true) => ((subset @ (dsetconstr @ sK0 @ (^[Y0 : $i]: (sK1 @ Y0))) @ sK0) != $true)),
% 0.13/0.37 introduced(choice_axiom,[])).
% 0.13/0.37 thf(f13,plain,(
% 0.13/0.37 (sepInPowerset = $true) & ? [X0,X1 : $i > $o] : ((subset @ (dsetconstr @ X0 @ (^[Y0 : $i]: (X1 @ Y0))) @ X0) != $true) & (powersetE1 = $true)),
% 0.13/0.37 inference(flattening,[],[f12])).
% 0.13/0.37 thf(f12,plain,(
% 0.13/0.37 (? [X0,X1 : $i > $o] : ((subset @ (dsetconstr @ X0 @ (^[Y0 : $i]: (X1 @ Y0))) @ X0) != $true) & (sepInPowerset = $true)) & (powersetE1 = $true)),
% 0.13/0.37 inference(ennf_transformation,[],[f9])).
% 0.13/0.37 thf(f9,plain,(
% 0.13/0.37 ~((powersetE1 = $true) => ((sepInPowerset = $true) => ! [X0,X1 : $i > $o] : ((subset @ (dsetconstr @ X0 @ (^[Y0 : $i]: (X1 @ Y0))) @ X0) = $true)))),
% 0.13/0.37 inference(fool_elimination,[],[f8])).
% 0.13/0.37 thf(f8,plain,(
% 0.13/0.37 ~(powersetE1 => (sepInPowerset => ! [X0,X1 : $i > $o] : (subset @ (dsetconstr @ X0 @ (^[X2 : $i] : (X1 @ X2))) @ X0)))),
% 0.13/0.37 inference(rectify,[],[f4])).
% 0.13/0.37 thf(f4,negated_conjecture,(
% 0.13/0.37 ~(powersetE1 => (sepInPowerset => ! [X0,X2 : $i > $o] : (subset @ (dsetconstr @ X0 @ (^[X3 : $i] : (X2 @ X3))) @ X0)))),
% 0.13/0.37 inference(negated_conjecture,[],[f3])).
% 0.13/0.37 thf(f3,conjecture,(
% 0.13/0.37 powersetE1 => (sepInPowerset => ! [X0,X2 : $i > $o] : (subset @ (dsetconstr @ X0 @ (^[X3 : $i] : (X2 @ X3))) @ X0))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sepSubset)).
% 0.13/0.37 thf(f32,plain,(
% 0.13/0.37 ( ! [X2 : $i,X1 : $i] : (($false = (in @ X1 @ (powerset @ X2))) | ((subset @ X1 @ X2) = $true)) )),
% 0.13/0.37 inference(binary_proxy_clausification,[],[f31])).
% 0.13/0.37 thf(f31,plain,(
% 0.13/0.37 ( ! [X2 : $i,X1 : $i] : (($true = ((in @ X1 @ (powerset @ X2)) => (subset @ X1 @ X2)))) )),
% 0.13/0.37 inference(beta_eta_normalization,[],[f30])).
% 0.13/0.37 thf(f30,plain,(
% 0.13/0.37 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ X1 @ (powerset @ Y0)) => (subset @ X1 @ Y0))) @ X2))) )),
% 0.13/0.37 inference(pi_clausification,[],[f29])).
% 0.13/0.37 thf(f29,plain,(
% 0.13/0.37 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((in @ X1 @ (powerset @ Y0)) => (subset @ X1 @ Y0)))) = $true)) )),
% 0.13/0.37 inference(beta_eta_normalization,[],[f28])).
% 0.13/0.37 thf(f28,plain,(
% 0.13/0.37 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (powerset @ Y1)) => (subset @ Y0 @ Y1))))) @ X1) = $true)) )),
% 0.13/0.37 inference(pi_clausification,[],[f22])).
% 0.13/0.37 thf(f22,plain,(
% 0.13/0.37 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (powerset @ Y1)) => (subset @ Y0 @ Y1)))))) = $true)),
% 0.13/0.37 inference(definition_unfolding,[],[f20,f17])).
% 0.13/0.37 thf(f17,plain,(
% 0.13/0.37 (powersetE1 = $true)),
% 0.13/0.37 inference(cnf_transformation,[],[f15])).
% 0.13/0.37 thf(f20,plain,(
% 0.13/0.37 (powersetE1 = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (powerset @ Y1)) => (subset @ Y0 @ Y1)))))))),
% 0.13/0.37 inference(cnf_transformation,[],[f7])).
% 0.13/0.37 thf(f7,plain,(
% 0.13/0.37 (powersetE1 = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (powerset @ Y1)) => (subset @ Y0 @ Y1)))))))),
% 0.13/0.37 inference(fool_elimination,[],[f6])).
% 0.13/0.37 thf(f6,plain,(
% 0.13/0.37 (! [X0,X1] : ((in @ X1 @ (powerset @ X0)) => (subset @ X1 @ X0)) = powersetE1)),
% 0.13/0.37 inference(rectify,[],[f1])).
% 0.13/0.37 thf(f1,axiom,(
% 0.13/0.37 (! [X0,X1] : ((in @ X1 @ (powerset @ X0)) => (subset @ X1 @ X0)) = powersetE1)),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetE1)).
% 0.13/0.37 thf(f33,plain,(
% 0.13/0.37 ($true != (subset @ (dsetconstr @ sK0 @ sK1) @ sK0))),
% 0.13/0.37 inference(beta_eta_normalization,[],[f18])).
% 0.13/0.37 thf(f18,plain,(
% 0.13/0.37 ((subset @ (dsetconstr @ sK0 @ (^[Y0 : $i]: (sK1 @ Y0))) @ sK0) != $true)),
% 0.13/0.37 inference(cnf_transformation,[],[f15])).
% 0.13/0.37 % SZS output end Proof for theBenchmark
% 0.13/0.37 % (19361)------------------------------
% 0.13/0.37 % (19361)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (19361)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (19361)Memory used [KB]: 5500
% 0.13/0.37 % (19361)Time elapsed: 0.004 s
% 0.13/0.37 % (19361)Instructions burned: 3 (million)
% 0.13/0.37 % (19361)------------------------------
% 0.13/0.37 % (19361)------------------------------
% 0.13/0.37 % (19358)Success in time 0.017 s
% 0.13/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------