TSTP Solution File: SEU595^2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU595^2 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n005.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 03:49:50 EDT 2024
% Result : Theorem 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU595^2 : TPTP v8.2.0. Released v3.7.0.
% 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
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 16:18:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TH0_THM_EQU_NAR problem
% 0.15/0.35 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/benchmark/theBenchmark.p
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% 0.21/0.57 % (4281)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2998ds/183Mi)
% 0.21/0.57 % (4283)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 (2998ds/27Mi)
% 0.21/0.57 % (4282)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 (2998ds/4Mi)
% 0.21/0.57 % (4286)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 (2998ds/275Mi)
% 0.21/0.57 % (4287)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2998ds/18Mi)
% 0.21/0.57 % (4284)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.21/0.57 % (4284)Instruction limit reached!
% 0.21/0.57 % (4284)------------------------------
% 0.21/0.57 % (4284)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.57 % (4284)Termination reason: Unknown
% 0.21/0.57 % (4284)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (4284)Memory used [KB]: 895
% 0.21/0.57 % (4284)Time elapsed: 0.003 s
% 0.21/0.57 % (4284)Instructions burned: 2 (million)
% 0.21/0.57 % (4284)------------------------------
% 0.21/0.57 % (4284)------------------------------
% 0.21/0.57 % (4286)Refutation not found, incomplete strategy
% 0.21/0.57 % (4286)------------------------------
% 0.21/0.57 % (4286)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.57 % (4286)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.57
% 0.21/0.57
% 0.21/0.57 % (4286)Memory used [KB]: 5500
% 0.21/0.57 % (4286)Time elapsed: 0.004 s
% 0.21/0.57 % (4286)Instructions burned: 2 (million)
% 0.21/0.57 % (4286)------------------------------
% 0.21/0.57 % (4286)------------------------------
% 0.21/0.57 % (4283)First to succeed.
% 0.21/0.57 % (4282)Instruction limit reached!
% 0.21/0.57 % (4282)------------------------------
% 0.21/0.57 % (4282)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.57 % (4282)Termination reason: Unknown
% 0.21/0.57 % (4282)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (4282)Memory used [KB]: 5500
% 0.21/0.57 % (4282)Time elapsed: 0.005 s
% 0.21/0.57 % (4282)Instructions burned: 4 (million)
% 0.21/0.57 % (4282)------------------------------
% 0.21/0.57 % (4282)------------------------------
% 0.21/0.57 % (4287)Also succeeded, but the first one will report.
% 0.21/0.57 % (4281)Also succeeded, but the first one will report.
% 0.21/0.57 % (4283)Refutation found. Thanks to Tanya!
% 0.21/0.57 % SZS status Theorem for theBenchmark
% 0.21/0.57 % SZS output start Proof for theBenchmark
% 0.21/0.57 thf(func_def_0, type, in: $i > $i > $o).
% 0.21/0.57 thf(func_def_1, type, dsetconstr: $i > ($i > $o) > $i).
% 0.21/0.57 thf(func_def_4, type, binintersect: $i > $i > $i).
% 0.21/0.57 thf(func_def_5, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.21/0.57 thf(func_def_18, type, ph4: !>[X0: $tType]:(X0)).
% 0.21/0.57 thf(f38,plain,(
% 0.21/0.57 $false),
% 0.21/0.57 inference(trivial_inequality_removal,[],[f37])).
% 0.21/0.57 thf(f37,plain,(
% 0.21/0.57 ($true != $true)),
% 0.21/0.57 inference(superposition,[],[f17,f34])).
% 0.21/0.57 thf(f34,plain,(
% 0.21/0.57 ((in @ sK1 @ sK2) = $true)),
% 0.21/0.57 inference(beta_eta_normalization,[],[f33])).
% 0.21/0.57 thf(f33,plain,(
% 0.21/0.57 (((^[Y0 : $i]: (in @ Y0 @ sK2)) @ sK1) = $true)),
% 0.21/0.57 inference(trivial_inequality_removal,[],[f32])).
% 0.21/0.57 thf(f32,plain,(
% 0.21/0.57 ($false = $true) | (((^[Y0 : $i]: (in @ Y0 @ sK2)) @ sK1) = $true)),
% 0.21/0.57 inference(superposition,[],[f29,f30])).
% 0.21/0.57 thf(f30,plain,(
% 0.21/0.57 ($true = (in @ sK1 @ (dsetconstr @ sK0 @ (^[Y0 : $i]: (in @ Y0 @ sK2)))))),
% 0.21/0.57 inference(beta_eta_normalization,[],[f20])).
% 0.21/0.57 thf(f20,plain,(
% 0.21/0.57 ((in @ sK1 @ ((^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ Y0 @ (^[Y2 : $i]: (in @ Y2 @ Y1)))))) @ sK0 @ sK2)) = $true)),
% 0.21/0.57 inference(definition_unfolding,[],[f16,f19])).
% 0.21/0.57 thf(f19,plain,(
% 0.21/0.57 (binintersect = (^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ Y0 @ (^[Y2 : $i]: (in @ Y2 @ Y1)))))))),
% 0.21/0.57 inference(cnf_transformation,[],[f9])).
% 0.21/0.57 thf(f9,plain,(
% 0.21/0.57 (binintersect = (^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ Y0 @ (^[Y2 : $i]: (in @ Y2 @ Y1)))))))),
% 0.21/0.57 inference(fool_elimination,[],[f8])).
% 0.21/0.57 thf(f8,plain,(
% 0.21/0.57 (binintersect = (^[X0 : $i, X1 : $i] : (dsetconstr @ X0 @ (^[X2 : $i] : (in @ X2 @ X1)))))),
% 0.21/0.57 inference(rectify,[],[f2])).
% 0.21/0.57 thf(f2,axiom,(
% 0.21/0.57 (binintersect = (^[X0 : $i, X4 : $i] : (dsetconstr @ X0 @ (^[X2 : $i] : (in @ X2 @ X4)))))),
% 0.21/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersect)).
% 0.21/0.57 thf(f16,plain,(
% 0.21/0.57 ($true = (in @ sK1 @ (binintersect @ sK0 @ sK2)))),
% 0.21/0.57 inference(cnf_transformation,[],[f14])).
% 0.21/0.57 thf(f14,plain,(
% 0.21/0.57 (((in @ sK1 @ sK2) != $true) & ($true = (in @ sK1 @ (binintersect @ sK0 @ sK2)))) & (dsetconstrER = $true)),
% 0.21/0.57 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f12,f13])).
% 0.21/0.57 thf(f13,plain,(
% 0.21/0.57 ? [X0,X1,X2] : (((in @ X1 @ X2) != $true) & ((in @ X1 @ (binintersect @ X0 @ X2)) = $true)) => (((in @ sK1 @ sK2) != $true) & ($true = (in @ sK1 @ (binintersect @ sK0 @ sK2))))),
% 0.21/0.57 introduced(choice_axiom,[])).
% 0.21/0.57 thf(f12,plain,(
% 0.21/0.57 ? [X0,X1,X2] : (((in @ X1 @ X2) != $true) & ((in @ X1 @ (binintersect @ X0 @ X2)) = $true)) & (dsetconstrER = $true)),
% 0.21/0.57 inference(ennf_transformation,[],[f7])).
% 0.21/0.57 thf(f7,plain,(
% 0.21/0.57 ~((dsetconstrER = $true) => ! [X0,X1,X2] : (((in @ X1 @ (binintersect @ X0 @ X2)) = $true) => ((in @ X1 @ X2) = $true)))),
% 0.21/0.57 inference(fool_elimination,[],[f6])).
% 0.21/0.57 thf(f6,plain,(
% 0.21/0.57 ~(dsetconstrER => ! [X0,X1,X2] : ((in @ X1 @ (binintersect @ X0 @ X2)) => (in @ X1 @ X2)))),
% 0.21/0.57 inference(rectify,[],[f4])).
% 0.21/0.57 thf(f4,negated_conjecture,(
% 0.21/0.57 ~(dsetconstrER => ! [X0,X2,X4] : ((in @ X2 @ (binintersect @ X0 @ X4)) => (in @ X2 @ X4)))),
% 0.21/0.57 inference(negated_conjecture,[],[f3])).
% 0.21/0.57 thf(f3,conjecture,(
% 0.21/0.57 dsetconstrER => ! [X0,X2,X4] : ((in @ X2 @ (binintersect @ X0 @ X4)) => (in @ X2 @ X4))),
% 0.21/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectER)).
% 0.21/0.57 thf(f29,plain,(
% 0.21/0.57 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($false = (in @ X3 @ (dsetconstr @ X1 @ X2))) | ((X2 @ X3) = $true)) )),
% 0.21/0.57 inference(binary_proxy_clausification,[],[f28])).
% 0.21/0.57 thf(f28,plain,(
% 0.21/0.57 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : ((((in @ X3 @ (dsetconstr @ X1 @ X2)) => (X2 @ X3)) = $true)) )),
% 0.21/0.57 inference(beta_eta_normalization,[],[f27])).
% 0.21/0.57 thf(f27,plain,(
% 0.21/0.57 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ X1 @ X2)) => (X2 @ Y0))) @ X3))) )),
% 0.21/0.57 inference(pi_clausification,[],[f26])).
% 0.21/0.57 thf(f26,plain,(
% 0.21/0.57 ( ! [X2 : $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ X1 @ X2)) => (X2 @ Y0)))) = $true)) )),
% 0.21/0.57 inference(beta_eta_normalization,[],[f25])).
% 0.21/0.57 thf(f25,plain,(
% 0.21/0.57 ( ! [X2 : $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (dsetconstr @ X1 @ Y0)) => (Y0 @ Y1))))) @ X2) = $true)) )),
% 0.21/0.57 inference(pi_clausification,[],[f24])).
% 0.21/0.57 thf(f24,plain,(
% 0.21/0.57 ( ! [X1 : $i] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (dsetconstr @ X1 @ Y0)) => (Y0 @ Y1)))))) = $true)) )),
% 0.21/0.57 inference(beta_eta_normalization,[],[f23])).
% 0.21/0.57 thf(f23,plain,(
% 0.21/0.57 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y0 @ Y1)) => (Y1 @ Y2))))))) @ X1) = $true)) )),
% 0.21/0.57 inference(pi_clausification,[],[f22])).
% 0.21/0.57 thf(f22,plain,(
% 0.21/0.57 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y0 @ Y1)) => (Y1 @ Y2)))))))) = $true)),
% 0.21/0.57 inference(beta_eta_normalization,[],[f21])).
% 0.21/0.57 thf(f21,plain,(
% 0.21/0.57 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y0 @ (^[Y3 : $i]: (Y1 @ Y3)))) => (Y1 @ Y2)))))))) = $true)),
% 0.21/0.57 inference(definition_unfolding,[],[f18,f15])).
% 0.21/0.57 thf(f15,plain,(
% 0.21/0.57 (dsetconstrER = $true)),
% 0.21/0.57 inference(cnf_transformation,[],[f14])).
% 0.21/0.57 thf(f18,plain,(
% 0.21/0.57 (dsetconstrER = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y0 @ (^[Y3 : $i]: (Y1 @ Y3)))) => (Y1 @ Y2)))))))))),
% 0.21/0.57 inference(cnf_transformation,[],[f11])).
% 0.21/0.57 thf(f11,plain,(
% 0.21/0.57 (dsetconstrER = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y0 @ (^[Y3 : $i]: (Y1 @ Y3)))) => (Y1 @ Y2)))))))))),
% 0.21/0.57 inference(fool_elimination,[],[f10])).
% 0.21/0.57 thf(f10,plain,(
% 0.21/0.57 (! [X0,X1 : $i > $o,X2] : ((in @ X0 @ (dsetconstr @ X2 @ (^[X3 : $i] : (X1 @ X3)))) => (X1 @ X0)) = dsetconstrER)),
% 0.21/0.57 inference(rectify,[],[f1])).
% 0.21/0.57 thf(f1,axiom,(
% 0.21/0.57 (! [X2,X1 : $i > $o,X0] : ((in @ X2 @ (dsetconstr @ X0 @ (^[X3 : $i] : (X1 @ X3)))) => (X1 @ X2)) = dsetconstrER)),
% 0.21/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dsetconstrER)).
% 0.21/0.57 thf(f17,plain,(
% 0.21/0.57 ((in @ sK1 @ sK2) != $true)),
% 0.21/0.57 inference(cnf_transformation,[],[f14])).
% 0.21/0.57 % SZS output end Proof for theBenchmark
% 0.21/0.57 % (4283)------------------------------
% 0.21/0.57 % (4283)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.57 % (4283)Termination reason: Refutation
% 0.21/0.57
% 0.21/0.57 % (4283)Memory used [KB]: 5500
% 0.21/0.57 % (4283)Time elapsed: 0.006 s
% 0.21/0.57 % (4283)Instructions burned: 3 (million)
% 0.21/0.57 % (4283)------------------------------
% 0.21/0.57 % (4283)------------------------------
% 0.21/0.57 % (4147)Success in time 0.203 s
% 0.21/0.57 % Vampire---4.8 exiting
%------------------------------------------------------------------------------