TSTP Solution File: SEU799^2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU799^2 : 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 : n029.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 03:51:38 EDT 2024
% Result : Theorem 0.19s 0.37s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : SEU799^2 : TPTP v8.2.0. Released v3.7.0.
% 0.12/0.13 % 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
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 17:24:07 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 This is a TH0_THM_EQU_NAR problem
% 0.14/0.34 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
% 0.19/0.36 % (10200)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)
% 0.19/0.36 % (10199)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.19/0.36 % (10203)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.36 % (10204)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)
% 0.19/0.36 % (10203)Instruction limit reached!
% 0.19/0.36 % (10203)------------------------------
% 0.19/0.36 % (10203)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.36 % (10203)Termination reason: Unknown
% 0.19/0.36 % (10203)Termination phase: Saturation
% 0.19/0.36
% 0.19/0.36 % (10203)Memory used [KB]: 895
% 0.19/0.36 % (10203)Time elapsed: 0.003 s
% 0.19/0.36 % (10203)Instructions burned: 2 (million)
% 0.19/0.36 % (10203)------------------------------
% 0.19/0.36 % (10203)------------------------------
% 0.19/0.36 % (10204)Refutation not found, incomplete strategy
% 0.19/0.36 % (10204)------------------------------
% 0.19/0.36 % (10204)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.36 % (10204)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.36
% 0.19/0.36
% 0.19/0.36 % (10204)Memory used [KB]: 5500
% 0.19/0.36 % (10204)Time elapsed: 0.004 s
% 0.19/0.36 % (10204)Instructions burned: 2 (million)
% 0.19/0.36 % (10204)------------------------------
% 0.19/0.36 % (10204)------------------------------
% 0.19/0.36 % (10199)First to succeed.
% 0.19/0.36 % (10200)Instruction limit reached!
% 0.19/0.36 % (10200)------------------------------
% 0.19/0.36 % (10200)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.36 % (10200)Termination reason: Unknown
% 0.19/0.36 % (10200)Termination phase: Saturation
% 0.19/0.36
% 0.19/0.36 % (10200)Memory used [KB]: 5500
% 0.19/0.36 % (10200)Time elapsed: 0.005 s
% 0.19/0.36 % (10200)Instructions burned: 4 (million)
% 0.19/0.36 % (10200)------------------------------
% 0.19/0.36 % (10200)------------------------------
% 0.19/0.37 % (10199)Refutation found. Thanks to Tanya!
% 0.19/0.37 % SZS status Theorem for theBenchmark
% 0.19/0.37 % SZS output start Proof for theBenchmark
% 0.19/0.37 thf(func_def_0, type, in: $i > $i > $o).
% 0.19/0.37 thf(func_def_1, type, dsetconstr: $i > ($i > $o) > $i).
% 0.19/0.37 thf(func_def_4, type, funcSet: $i > $i > $i).
% 0.19/0.37 thf(func_def_5, type, injective: $i > $i > $i > $o).
% 0.19/0.37 thf(func_def_6, type, injFuncSet: $i > $i > $i).
% 0.19/0.37 thf(func_def_20, type, ph4: !>[X0: $tType]:(X0)).
% 0.19/0.37 thf(f35,plain,(
% 0.19/0.37 $false),
% 0.19/0.37 inference(subsumption_resolution,[],[f34,f16])).
% 0.19/0.37 thf(f16,plain,(
% 0.19/0.37 ($true != (in @ sK1 @ (funcSet @ sK2 @ sK0)))),
% 0.19/0.37 inference(cnf_transformation,[],[f14])).
% 0.19/0.37 thf(f14,plain,(
% 0.19/0.37 (dsetconstrEL = $true) & (((in @ sK1 @ (injFuncSet @ sK2 @ sK0)) = $true) & ($true != (in @ sK1 @ (funcSet @ sK2 @ sK0))))),
% 0.19/0.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f12,f13])).
% 0.19/0.37 thf(f13,plain,(
% 0.19/0.37 ? [X0,X1,X2] : (($true = (in @ X1 @ (injFuncSet @ X2 @ X0))) & ((in @ X1 @ (funcSet @ X2 @ X0)) != $true)) => (((in @ sK1 @ (injFuncSet @ sK2 @ sK0)) = $true) & ($true != (in @ sK1 @ (funcSet @ sK2 @ sK0))))),
% 0.19/0.37 introduced(choice_axiom,[])).
% 0.19/0.37 thf(f12,plain,(
% 0.19/0.37 (dsetconstrEL = $true) & ? [X0,X1,X2] : (($true = (in @ X1 @ (injFuncSet @ X2 @ X0))) & ((in @ X1 @ (funcSet @ X2 @ X0)) != $true))),
% 0.19/0.37 inference(ennf_transformation,[],[f9])).
% 0.19/0.37 thf(f9,plain,(
% 0.19/0.37 ~((dsetconstrEL = $true) => ! [X0,X1,X2] : (($true = (in @ X1 @ (injFuncSet @ X2 @ X0))) => ((in @ X1 @ (funcSet @ X2 @ X0)) = $true)))),
% 0.19/0.37 inference(fool_elimination,[],[f8])).
% 0.19/0.37 thf(f8,plain,(
% 0.19/0.37 ~(dsetconstrEL => ! [X0,X1,X2] : ((in @ X1 @ (injFuncSet @ X2 @ X0)) => (in @ X1 @ (funcSet @ X2 @ X0))))),
% 0.19/0.37 inference(rectify,[],[f4])).
% 0.19/0.37 thf(f4,negated_conjecture,(
% 0.19/0.37 ~(dsetconstrEL => ! [X4,X5,X0] : ((in @ X5 @ (injFuncSet @ X0 @ X4)) => (in @ X5 @ (funcSet @ X0 @ X4))))),
% 0.19/0.37 inference(negated_conjecture,[],[f3])).
% 0.19/0.37 thf(f3,conjecture,(
% 0.19/0.37 dsetconstrEL => ! [X4,X5,X0] : ((in @ X5 @ (injFuncSet @ X0 @ X4)) => (in @ X5 @ (funcSet @ X0 @ X4)))),
% 0.19/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',injFuncSetFuncIn)).
% 0.19/0.37 thf(f34,plain,(
% 0.19/0.37 ($true = (in @ sK1 @ (funcSet @ sK2 @ sK0)))),
% 0.19/0.37 inference(trivial_inequality_removal,[],[f31])).
% 0.19/0.37 thf(f31,plain,(
% 0.19/0.37 ($false = $true) | ($true = (in @ sK1 @ (funcSet @ sK2 @ sK0)))),
% 0.19/0.37 inference(superposition,[],[f30,f29])).
% 0.19/0.37 thf(f29,plain,(
% 0.19/0.37 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (((in @ X1 @ (dsetconstr @ X3 @ X2)) = $false) | ((in @ X1 @ X3) = $true)) )),
% 0.19/0.37 inference(binary_proxy_clausification,[],[f28])).
% 0.19/0.37 thf(f28,plain,(
% 0.19/0.37 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($true = ((in @ X1 @ (dsetconstr @ X3 @ X2)) => (in @ X1 @ X3)))) )),
% 0.19/0.37 inference(beta_eta_normalization,[],[f27])).
% 0.19/0.37 thf(f27,plain,(
% 0.19/0.37 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ X1 @ (dsetconstr @ Y0 @ X2)) => (in @ X1 @ Y0))) @ X3) = $true)) )),
% 0.19/0.37 inference(pi_clausification,[],[f26])).
% 0.19/0.37 thf(f26,plain,(
% 0.19/0.37 ( ! [X2 : $i > $o,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ X1 @ (dsetconstr @ Y0 @ X2)) => (in @ X1 @ Y0)))))) )),
% 0.19/0.37 inference(beta_eta_normalization,[],[f25])).
% 0.19/0.37 thf(f25,plain,(
% 0.19/0.37 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((in @ X1 @ (dsetconstr @ Y1 @ Y0)) => (in @ X1 @ Y1))))) @ X2))) )),
% 0.19/0.37 inference(pi_clausification,[],[f24])).
% 0.19/0.37 thf(f24,plain,(
% 0.19/0.37 ( ! [X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((in @ X1 @ (dsetconstr @ Y1 @ Y0)) => (in @ X1 @ Y1)))))))) )),
% 0.19/0.37 inference(beta_eta_normalization,[],[f23])).
% 0.19/0.37 thf(f23,plain,(
% 0.19/0.37 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (dsetconstr @ Y2 @ Y1)) => (in @ Y0 @ Y2))))))) @ X1))) )),
% 0.19/0.37 inference(pi_clausification,[],[f22])).
% 0.19/0.37 thf(f22,plain,(
% 0.19/0.37 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (dsetconstr @ Y2 @ Y1)) => (in @ Y0 @ Y2)))))))))),
% 0.19/0.37 inference(beta_eta_normalization,[],[f20])).
% 0.19/0.37 thf(f20,plain,(
% 0.19/0.37 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (dsetconstr @ Y2 @ (^[Y3 : $i]: (Y1 @ Y3)))) => (in @ Y0 @ Y2)))))))))),
% 0.19/0.37 inference(definition_unfolding,[],[f18,f15])).
% 0.19/0.37 thf(f15,plain,(
% 0.19/0.37 (dsetconstrEL = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (dsetconstr @ Y2 @ (^[Y3 : $i]: (Y1 @ Y3)))) => (in @ Y0 @ Y2)))))))))),
% 0.19/0.37 inference(cnf_transformation,[],[f11])).
% 0.19/0.37 thf(f11,plain,(
% 0.19/0.37 (dsetconstrEL = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (dsetconstr @ Y2 @ (^[Y3 : $i]: (Y1 @ Y3)))) => (in @ Y0 @ Y2)))))))))),
% 0.19/0.37 inference(fool_elimination,[],[f10])).
% 0.19/0.37 thf(f10,plain,(
% 0.19/0.37 (dsetconstrEL = ! [X0,X1 : $i > $o,X2] : ((in @ X2 @ (dsetconstr @ X0 @ (^[X3 : $i] : (X1 @ X3)))) => (in @ X2 @ X0)))),
% 0.19/0.37 inference(rectify,[],[f1])).
% 0.19/0.37 thf(f1,axiom,(
% 0.19/0.37 (dsetconstrEL = ! [X0,X1 : $i > $o,X2] : ((in @ X2 @ (dsetconstr @ X0 @ (^[X3 : $i] : (X1 @ X3)))) => (in @ X2 @ X0)))),
% 0.19/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrEL)).
% 0.19/0.37 thf(f18,plain,(
% 0.19/0.37 (dsetconstrEL = $true)),
% 0.19/0.37 inference(cnf_transformation,[],[f14])).
% 0.19/0.37 thf(f30,plain,(
% 0.19/0.37 ($true = (in @ sK1 @ (dsetconstr @ (funcSet @ sK2 @ sK0) @ (injective @ sK2 @ sK0))))),
% 0.19/0.37 inference(beta_eta_normalization,[],[f21])).
% 0.19/0.37 thf(f21,plain,(
% 0.19/0.37 ((in @ sK1 @ ((^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ (funcSet @ Y0 @ Y1) @ (^[Y2 : $i]: (injective @ Y0 @ Y1 @ Y2)))))) @ sK2 @ sK0)) = $true)),
% 0.19/0.37 inference(definition_unfolding,[],[f17,f19])).
% 0.19/0.37 thf(f19,plain,(
% 0.19/0.37 (injFuncSet = (^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ (funcSet @ Y0 @ Y1) @ (^[Y2 : $i]: (injective @ Y0 @ Y1 @ Y2)))))))),
% 0.19/0.37 inference(cnf_transformation,[],[f7])).
% 0.19/0.37 thf(f7,plain,(
% 0.19/0.37 (injFuncSet = (^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ (funcSet @ Y0 @ Y1) @ (^[Y2 : $i]: (injective @ Y0 @ Y1 @ Y2)))))))),
% 0.19/0.37 inference(fool_elimination,[],[f6])).
% 0.19/0.37 thf(f6,plain,(
% 0.19/0.37 (injFuncSet = (^[X0 : $i, X1 : $i] : (dsetconstr @ (funcSet @ X0 @ X1) @ (^[X2 : $i] : (injective @ X0 @ X1 @ X2)))))),
% 0.19/0.37 inference(rectify,[],[f2])).
% 0.19/0.37 thf(f2,axiom,(
% 0.19/0.37 (injFuncSet = (^[X0 : $i, X4 : $i] : (dsetconstr @ (funcSet @ X0 @ X4) @ (^[X5 : $i] : (injective @ X0 @ X4 @ X5)))))),
% 0.19/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',injFuncSet)).
% 0.19/0.37 thf(f17,plain,(
% 0.19/0.37 ((in @ sK1 @ (injFuncSet @ sK2 @ sK0)) = $true)),
% 0.19/0.37 inference(cnf_transformation,[],[f14])).
% 0.19/0.37 % SZS output end Proof for theBenchmark
% 0.19/0.37 % (10199)------------------------------
% 0.19/0.37 % (10199)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.37 % (10199)Termination reason: Refutation
% 0.19/0.37
% 0.19/0.37 % (10199)Memory used [KB]: 5500
% 0.19/0.37 % (10199)Time elapsed: 0.006 s
% 0.19/0.37 % (10199)Instructions burned: 3 (million)
% 0.19/0.37 % (10199)------------------------------
% 0.19/0.37 % (10199)------------------------------
% 0.19/0.37 % (10198)Success in time 0.007 s
% 0.19/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------