TSTP Solution File: SEU609^2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU609^2 : 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 : n027.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 03:49:57 EDT 2024
% Result : Theorem 0.34s 0.55s
% Output : Refutation 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SEU609^2 : TPTP v8.2.0. Released v3.7.0.
% 0.06/0.15 % 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
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 16:52:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH0_THM_EQU_NAR problem
% 0.13/0.36 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/benchmark/theBenchmark.p
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% 0.34/0.54 % (5879)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.34/0.54 % (5883)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.34/0.54 % (5881)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)
% 0.34/0.54 % (5877)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)
% 0.34/0.54 % (5879)Instruction limit reached!
% 0.34/0.54 % (5879)------------------------------
% 0.34/0.54 % (5879)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.34/0.54 % (5876)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2998ds/183Mi)
% 0.34/0.54 % (5879)Termination reason: Unknown
% 0.34/0.54 % (5879)Termination phase: Property scanning
% 0.34/0.54
% 0.34/0.54 % (5879)Memory used [KB]: 895
% 0.34/0.54 % (5879)Time elapsed: 0.002 s
% 0.34/0.54 % (5878)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)
% 0.34/0.54 % (5879)Instructions burned: 2 (million)
% 0.34/0.54 % (5879)------------------------------
% 0.34/0.54 % (5879)------------------------------
% 0.34/0.54 % (5882)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2998ds/18Mi)
% 0.34/0.54 % (5883)Refutation not found, incomplete strategy
% 0.34/0.54 % (5883)------------------------------
% 0.34/0.54 % (5883)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.34/0.54 % (5883)Termination reason: Refutation not found, incomplete strategy
% 0.34/0.54
% 0.34/0.54
% 0.34/0.54 % (5883)Memory used [KB]: 5500
% 0.34/0.54 % (5883)Time elapsed: 0.003 s
% 0.34/0.54 % (5883)Instructions burned: 2 (million)
% 0.34/0.54 % (5883)------------------------------
% 0.34/0.54 % (5883)------------------------------
% 0.34/0.54 % (5881)First to succeed.
% 0.34/0.54 % (5877)Instruction limit reached!
% 0.34/0.54 % (5877)------------------------------
% 0.34/0.54 % (5877)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.34/0.54 % (5877)Termination reason: Unknown
% 0.34/0.54 % (5877)Termination phase: Saturation
% 0.34/0.54
% 0.34/0.54 % (5877)Memory used [KB]: 5500
% 0.34/0.54 % (5877)Time elapsed: 0.004 s
% 0.34/0.54 % (5877)Instructions burned: 4 (million)
% 0.34/0.54 % (5877)------------------------------
% 0.34/0.54 % (5877)------------------------------
% 0.34/0.55 % (5882)Also succeeded, but the first one will report.
% 0.34/0.55 % (5881)Refutation found. Thanks to Tanya!
% 0.34/0.55 % SZS status Theorem for theBenchmark
% 0.34/0.55 % SZS output start Proof for theBenchmark
% 0.34/0.55 thf(func_def_0, type, in: $i > $i > $o).
% 0.34/0.55 thf(func_def_1, type, subset: $i > $i > $o).
% 0.34/0.55 thf(func_def_4, type, setminus: $i > $i > $i).
% 0.34/0.55 thf(func_def_13, type, sK5: $i > $i > $i).
% 0.34/0.55 thf(f59,plain,(
% 0.34/0.55 $false),
% 0.34/0.55 inference(trivial_inequality_removal,[],[f58])).
% 0.34/0.55 thf(f58,plain,(
% 0.34/0.55 ($true != $true)),
% 0.34/0.55 inference(superposition,[],[f37,f56])).
% 0.34/0.55 thf(f56,plain,(
% 0.34/0.55 ( ! [X0 : $i,X1 : $i] : (((subset @ (setminus @ X0 @ X1) @ X0) = $true)) )),
% 0.34/0.55 inference(trivial_inequality_removal,[],[f55])).
% 0.34/0.55 thf(f55,plain,(
% 0.34/0.55 ( ! [X0 : $i,X1 : $i] : (((subset @ (setminus @ X0 @ X1) @ X0) = $true) | ($true != $true)) )),
% 0.34/0.55 inference(duplicate_literal_removal,[],[f53])).
% 0.34/0.55 thf(f53,plain,(
% 0.34/0.55 ( ! [X0 : $i,X1 : $i] : (((subset @ (setminus @ X0 @ X1) @ X0) = $true) | ((subset @ (setminus @ X0 @ X1) @ X0) = $true) | ($true != $true)) )),
% 0.34/0.55 inference(superposition,[],[f45,f52])).
% 0.34/0.55 thf(f52,plain,(
% 0.34/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ (sK5 @ (setminus @ X0 @ X1) @ X2) @ X0) = $true) | ((subset @ (setminus @ X0 @ X1) @ X2) = $true)) )),
% 0.34/0.55 inference(trivial_inequality_removal,[],[f49])).
% 0.34/0.55 thf(f49,plain,(
% 0.34/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((subset @ (setminus @ X0 @ X1) @ X2) = $true) | ($true != $true) | ((in @ (sK5 @ (setminus @ X0 @ X1) @ X2) @ X0) = $true)) )),
% 0.34/0.55 inference(superposition,[],[f46,f47])).
% 0.34/0.55 thf(f47,plain,(
% 0.34/0.55 ( ! [X3 : $i,X4 : $i] : (((in @ (sK5 @ X4 @ X3) @ X4) = $true) | ((subset @ X4 @ X3) = $true)) )),
% 0.34/0.55 inference(trivial_inequality_removal,[],[f44])).
% 0.34/0.55 thf(f44,plain,(
% 0.34/0.55 ( ! [X3 : $i,X4 : $i] : (((in @ (sK5 @ X4 @ X3) @ X4) = $true) | ($true != $true) | ((subset @ X4 @ X3) = $true)) )),
% 0.34/0.55 inference(definition_unfolding,[],[f31,f35])).
% 0.34/0.55 thf(f35,plain,(
% 0.34/0.55 (subsetI2 = $true)),
% 0.34/0.55 inference(cnf_transformation,[],[f27])).
% 0.34/0.55 thf(f27,plain,(
% 0.34/0.55 ((subset @ (setminus @ sK6 @ sK7) @ sK6) != $true) & (setminusEL = $true) & (subsetI2 = $true)),
% 0.34/0.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f25,f26])).
% 0.34/0.55 thf(f26,plain,(
% 0.34/0.55 ? [X0,X1] : ((subset @ (setminus @ X0 @ X1) @ X0) != $true) => ((subset @ (setminus @ sK6 @ sK7) @ sK6) != $true)),
% 0.34/0.55 introduced(choice_axiom,[])).
% 0.34/0.55 thf(f25,plain,(
% 0.34/0.55 ? [X0,X1] : ((subset @ (setminus @ X0 @ X1) @ X0) != $true) & (setminusEL = $true) & (subsetI2 = $true)),
% 0.34/0.55 inference(rectify,[],[f13])).
% 0.34/0.55 thf(f13,plain,(
% 0.34/0.55 ? [X1,X0] : ((subset @ (setminus @ X1 @ X0) @ X1) != $true) & (setminusEL = $true) & (subsetI2 = $true)),
% 0.34/0.55 inference(flattening,[],[f12])).
% 0.34/0.55 thf(f12,plain,(
% 0.34/0.55 (? [X1,X0] : ((subset @ (setminus @ X1 @ X0) @ X1) != $true) & (setminusEL = $true)) & (subsetI2 = $true)),
% 0.34/0.55 inference(ennf_transformation,[],[f7])).
% 0.34/0.55 thf(f7,plain,(
% 0.34/0.55 ~((subsetI2 = $true) => ((setminusEL = $true) => ! [X1,X0] : ((subset @ (setminus @ X1 @ X0) @ X1) = $true)))),
% 0.34/0.55 inference(fool_elimination,[],[f6])).
% 0.34/0.55 thf(f6,plain,(
% 0.34/0.55 ~(subsetI2 => (setminusEL => ! [X0,X1] : (subset @ (setminus @ X1 @ X0) @ X1)))),
% 0.34/0.55 inference(rectify,[],[f4])).
% 0.34/0.55 thf(f4,negated_conjecture,(
% 0.34/0.55 ~(subsetI2 => (setminusEL => ! [X1,X0] : (subset @ (setminus @ X0 @ X1) @ X0)))),
% 0.34/0.55 inference(negated_conjecture,[],[f3])).
% 0.34/0.55 thf(f3,conjecture,(
% 0.34/0.55 subsetI2 => (setminusEL => ! [X1,X0] : (subset @ (setminus @ X0 @ X1) @ X0))),
% 0.34/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setminusLsub)).
% 0.34/0.55 thf(f31,plain,(
% 0.34/0.55 ( ! [X3 : $i,X4 : $i] : (((subset @ X4 @ X3) = $true) | ((in @ (sK5 @ X4 @ X3) @ X4) = $true) | (subsetI2 != $true)) )),
% 0.34/0.55 inference(cnf_transformation,[],[f24])).
% 0.34/0.55 thf(f24,plain,(
% 0.34/0.55 ((subsetI2 = $true) | (((subset @ sK4 @ sK3) != $true) & ! [X2] : (((in @ X2 @ sK3) = $true) | ((in @ X2 @ sK4) != $true)))) & (! [X3,X4] : (((subset @ X4 @ X3) = $true) | (((in @ (sK5 @ X4 @ X3) @ X3) != $true) & ((in @ (sK5 @ X4 @ X3) @ X4) = $true))) | (subsetI2 != $true))),
% 0.34/0.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f21,f23,f22])).
% 0.34/0.55 thf(f22,plain,(
% 0.34/0.55 ? [X0,X1] : (((subset @ X1 @ X0) != $true) & ! [X2] : (((in @ X2 @ X0) = $true) | ((in @ X2 @ X1) != $true))) => (((subset @ sK4 @ sK3) != $true) & ! [X2] : (((in @ X2 @ sK3) = $true) | ((in @ X2 @ sK4) != $true)))),
% 0.34/0.55 introduced(choice_axiom,[])).
% 0.34/0.55 thf(f23,plain,(
% 0.34/0.55 ! [X3,X4] : (? [X5] : (((in @ X5 @ X3) != $true) & ((in @ X5 @ X4) = $true)) => (((in @ (sK5 @ X4 @ X3) @ X3) != $true) & ((in @ (sK5 @ X4 @ X3) @ X4) = $true)))),
% 0.34/0.55 introduced(choice_axiom,[])).
% 0.34/0.55 thf(f21,plain,(
% 0.34/0.55 ((subsetI2 = $true) | ? [X0,X1] : (((subset @ X1 @ X0) != $true) & ! [X2] : (((in @ X2 @ X0) = $true) | ((in @ X2 @ X1) != $true)))) & (! [X3,X4] : (((subset @ X4 @ X3) = $true) | ? [X5] : (((in @ X5 @ X3) != $true) & ((in @ X5 @ X4) = $true))) | (subsetI2 != $true))),
% 0.34/0.55 inference(rectify,[],[f20])).
% 0.34/0.55 thf(f20,plain,(
% 0.34/0.55 ((subsetI2 = $true) | ? [X1,X0] : (((subset @ X0 @ X1) != $true) & ! [X2] : (((in @ X2 @ X1) = $true) | ((in @ X2 @ X0) != $true)))) & (! [X1,X0] : (((subset @ X0 @ X1) = $true) | ? [X2] : (((in @ X2 @ X1) != $true) & ((in @ X2 @ X0) = $true))) | (subsetI2 != $true))),
% 0.34/0.55 inference(nnf_transformation,[],[f15])).
% 0.34/0.55 thf(f15,plain,(
% 0.34/0.55 (subsetI2 = $true) <=> ! [X1,X0] : (((subset @ X0 @ X1) = $true) | ? [X2] : (((in @ X2 @ X1) != $true) & ((in @ X2 @ X0) = $true)))),
% 0.34/0.55 inference(ennf_transformation,[],[f9])).
% 0.34/0.55 thf(f9,plain,(
% 0.34/0.55 ! [X0,X1] : (! [X2] : (((in @ X2 @ X0) = $true) => ((in @ X2 @ X1) = $true)) => ((subset @ X0 @ X1) = $true)) <=> (subsetI2 = $true)),
% 0.34/0.55 inference(fool_elimination,[],[f8])).
% 0.34/0.55 thf(f8,plain,(
% 0.34/0.55 (subsetI2 = ! [X0,X1] : (! [X2] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1)))),
% 0.34/0.55 inference(rectify,[],[f1])).
% 0.34/0.55 thf(f1,axiom,(
% 0.34/0.55 (subsetI2 = ! [X0,X1] : (! [X2] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1)))),
% 0.34/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetI2)).
% 0.34/0.55 thf(f46,plain,(
% 0.34/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X2 @ (setminus @ X0 @ X1)) != $true) | ((in @ X2 @ X0) = $true)) )),
% 0.34/0.55 inference(trivial_inequality_removal,[],[f38])).
% 0.34/0.55 thf(f38,plain,(
% 0.34/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X2 @ (setminus @ X0 @ X1)) != $true) | ((in @ X2 @ X0) = $true) | ($true != $true)) )),
% 0.34/0.55 inference(definition_unfolding,[],[f30,f36])).
% 0.34/0.55 thf(f36,plain,(
% 0.34/0.55 (setminusEL = $true)),
% 0.34/0.55 inference(cnf_transformation,[],[f27])).
% 0.34/0.55 thf(f30,plain,(
% 0.34/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X2 @ (setminus @ X0 @ X1)) != $true) | ((in @ X2 @ X0) = $true) | (setminusEL != $true)) )),
% 0.34/0.55 inference(cnf_transformation,[],[f19])).
% 0.34/0.55 thf(f19,plain,(
% 0.34/0.55 (! [X0,X1,X2] : (((in @ X2 @ (setminus @ X0 @ X1)) != $true) | ((in @ X2 @ X0) = $true)) | (setminusEL != $true)) & ((setminusEL = $true) | (((in @ sK2 @ (setminus @ sK0 @ sK1)) = $true) & ((in @ sK2 @ sK0) != $true)))),
% 0.34/0.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f18])).
% 0.34/0.55 thf(f18,plain,(
% 0.34/0.55 ? [X3,X4,X5] : (((in @ X5 @ (setminus @ X3 @ X4)) = $true) & ((in @ X5 @ X3) != $true)) => (((in @ sK2 @ (setminus @ sK0 @ sK1)) = $true) & ((in @ sK2 @ sK0) != $true))),
% 0.34/0.55 introduced(choice_axiom,[])).
% 0.34/0.55 thf(f17,plain,(
% 0.34/0.55 (! [X0,X1,X2] : (((in @ X2 @ (setminus @ X0 @ X1)) != $true) | ((in @ X2 @ X0) = $true)) | (setminusEL != $true)) & ((setminusEL = $true) | ? [X3,X4,X5] : (((in @ X5 @ (setminus @ X3 @ X4)) = $true) & ((in @ X5 @ X3) != $true)))),
% 0.34/0.55 inference(rectify,[],[f16])).
% 0.34/0.55 thf(f16,plain,(
% 0.34/0.55 (! [X0,X1,X2] : (((in @ X2 @ (setminus @ X0 @ X1)) != $true) | ((in @ X2 @ X0) = $true)) | (setminusEL != $true)) & ((setminusEL = $true) | ? [X0,X1,X2] : (((in @ X2 @ (setminus @ X0 @ X1)) = $true) & ((in @ X2 @ X0) != $true)))),
% 0.34/0.55 inference(nnf_transformation,[],[f14])).
% 0.34/0.55 thf(f14,plain,(
% 0.34/0.55 ! [X0,X1,X2] : (((in @ X2 @ (setminus @ X0 @ X1)) != $true) | ((in @ X2 @ X0) = $true)) <=> (setminusEL = $true)),
% 0.34/0.55 inference(ennf_transformation,[],[f11])).
% 0.34/0.55 thf(f11,plain,(
% 0.34/0.55 (setminusEL = $true) <=> ! [X0,X2,X1] : (((in @ X2 @ (setminus @ X0 @ X1)) = $true) => ((in @ X2 @ X0) = $true))),
% 0.34/0.55 inference(fool_elimination,[],[f10])).
% 0.34/0.55 thf(f10,plain,(
% 0.34/0.55 (! [X0,X1,X2] : ((in @ X2 @ (setminus @ X0 @ X1)) => (in @ X2 @ X0)) = setminusEL)),
% 0.34/0.55 inference(rectify,[],[f2])).
% 0.34/0.55 thf(f2,axiom,(
% 0.34/0.55 (! [X0,X1,X2] : ((in @ X2 @ (setminus @ X0 @ X1)) => (in @ X2 @ X0)) = setminusEL)),
% 0.34/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setminusEL)).
% 0.34/0.55 thf(f45,plain,(
% 0.34/0.55 ( ! [X3 : $i,X4 : $i] : (((in @ (sK5 @ X4 @ X3) @ X3) != $true) | ((subset @ X4 @ X3) = $true)) )),
% 0.34/0.55 inference(trivial_inequality_removal,[],[f43])).
% 0.34/0.55 thf(f43,plain,(
% 0.34/0.55 ( ! [X3 : $i,X4 : $i] : (((subset @ X4 @ X3) = $true) | ((in @ (sK5 @ X4 @ X3) @ X3) != $true) | ($true != $true)) )),
% 0.34/0.55 inference(definition_unfolding,[],[f32,f35])).
% 0.34/0.55 thf(f32,plain,(
% 0.34/0.55 ( ! [X3 : $i,X4 : $i] : (((subset @ X4 @ X3) = $true) | ((in @ (sK5 @ X4 @ X3) @ X3) != $true) | (subsetI2 != $true)) )),
% 0.34/0.55 inference(cnf_transformation,[],[f24])).
% 0.34/0.55 thf(f37,plain,(
% 0.34/0.55 ((subset @ (setminus @ sK6 @ sK7) @ sK6) != $true)),
% 0.34/0.55 inference(cnf_transformation,[],[f27])).
% 0.34/0.55 % SZS output end Proof for theBenchmark
% 0.34/0.55 % (5881)------------------------------
% 0.34/0.55 % (5881)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.34/0.55 % (5881)Termination reason: Refutation
% 0.34/0.55
% 0.34/0.55 % (5881)Memory used [KB]: 5500
% 0.34/0.55 % (5881)Time elapsed: 0.006 s
% 0.34/0.55 % (5881)Instructions burned: 3 (million)
% 0.34/0.55 % (5881)------------------------------
% 0.34/0.55 % (5881)------------------------------
% 0.34/0.55 % (5741)Success in time 0.184 s
% 0.34/0.55 % Vampire---4.8 exiting
%------------------------------------------------------------------------------