TSTP Solution File: QUA004^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : QUA004^1 : TPTP v8.2.0. Released v4.1.0.
% 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 : n024.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 02:30:32 EDT 2024
% Result : Theorem 0.12s 0.37s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : QUA004^1 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.12 % 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
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon May 20 13:36:08 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.35 This is a TH0_THM_EQU_NAR problem
% 0.12/0.35 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
% 0.12/0.36 % (30685)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)
% 0.12/0.36 % (30685)Instruction limit reached!
% 0.12/0.36 % (30685)------------------------------
% 0.12/0.36 % (30685)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (30685)Termination reason: Unknown
% 0.12/0.36 % (30685)Termination phase: Function definition elimination
% 0.12/0.36
% 0.12/0.36 % (30685)Memory used [KB]: 1023
% 0.12/0.36 % (30685)Time elapsed: 0.003 s
% 0.12/0.36 % (30685)Instructions burned: 4 (million)
% 0.12/0.36 % (30685)------------------------------
% 0.12/0.36 % (30685)------------------------------
% 0.12/0.37 % (30690)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.37 % (30686)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 (2999ds/27Mi)
% 0.12/0.37 % (30691)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.37 % (30687)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.37 % (30684)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.37 % (30687)Instruction limit reached!
% 0.12/0.37 % (30687)------------------------------
% 0.12/0.37 % (30687)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (30687)Termination reason: Unknown
% 0.12/0.37 % (30687)Termination phase: Property scanning
% 0.12/0.37
% 0.12/0.37 % (30687)Memory used [KB]: 1023
% 0.12/0.37 % (30687)Time elapsed: 0.003 s
% 0.12/0.37 % (30687)Instructions burned: 3 (million)
% 0.12/0.37 % (30687)------------------------------
% 0.12/0.37 % (30687)------------------------------
% 0.12/0.37 % (30691)Instruction limit reached!
% 0.12/0.37 % (30691)------------------------------
% 0.12/0.37 % (30691)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (30691)Termination reason: Unknown
% 0.12/0.37 % (30691)Termination phase: Saturation
% 0.12/0.37
% 0.12/0.37 % (30691)Memory used [KB]: 5500
% 0.12/0.37 % (30691)Time elapsed: 0.003 s
% 0.12/0.37 % (30691)Instructions burned: 4 (million)
% 0.12/0.37 % (30691)------------------------------
% 0.12/0.37 % (30691)------------------------------
% 0.12/0.37 % (30689)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)
% 0.12/0.37 % (30686)First to succeed.
% 0.12/0.37 % (30689)Refutation not found, incomplete strategy
% 0.12/0.37 % (30689)------------------------------
% 0.12/0.37 % (30689)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (30689)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 % (30689)Memory used [KB]: 5500
% 0.12/0.37 % (30689)Time elapsed: 0.004 s
% 0.12/0.37 % (30689)Instructions burned: 2 (million)
% 0.12/0.37 % (30689)------------------------------
% 0.12/0.37 % (30689)------------------------------
% 0.12/0.37 % (30690)Also succeeded, but the first one will report.
% 0.12/0.37 % (30688)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)
% 0.12/0.37 % (30686)Refutation found. Thanks to Tanya!
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37 % SZS output start Proof for theBenchmark
% 0.12/0.37 thf(func_def_0, type, emptyset: $i > $o).
% 0.12/0.37 thf(func_def_1, type, union: ($i > $o) > ($i > $o) > $i > $o).
% 0.12/0.37 thf(func_def_3, type, singleton: $i > $i > $o).
% 0.12/0.37 thf(func_def_5, type, sup: ($i > $o) > $i).
% 0.12/0.37 thf(func_def_6, type, supset: (($i > $o) > $o) > $i > $o).
% 0.12/0.37 thf(func_def_7, type, unionset: (($i > $o) > $o) > $i > $o).
% 0.12/0.37 thf(func_def_8, type, addition: $i > $i > $i).
% 0.12/0.37 thf(func_def_9, type, leq: $i > $i > $o).
% 0.12/0.37 thf(func_def_10, type, multiplication: $i > $i > $i).
% 0.12/0.37 thf(func_def_11, type, crossmult: ($i > $o) > ($i > $o) > $i > $o).
% 0.12/0.37 thf(func_def_13, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.12/0.37 thf(func_def_28, type, ph2: !>[X0: $tType]:(X0)).
% 0.12/0.37 thf(f70,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(trivial_inequality_removal,[],[f69])).
% 0.12/0.37 thf(f69,plain,(
% 0.12/0.37 (sK0 != sK0)),
% 0.12/0.37 inference(superposition,[],[f65,f62])).
% 0.12/0.37 thf(f62,plain,(
% 0.12/0.37 ( ! [X0 : $i] : (((sup @ (= @ X0)) = X0)) )),
% 0.12/0.37 inference(beta_eta_normalization,[],[f60])).
% 0.12/0.37 thf(f60,plain,(
% 0.12/0.37 ( ! [X0 : $i] : (((sup @ ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ X0)) = X0)) )),
% 0.12/0.37 inference(definition_unfolding,[],[f47,f51])).
% 0.12/0.37 thf(f51,plain,(
% 0.12/0.37 (singleton = (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))))),
% 0.12/0.37 inference(cnf_transformation,[],[f27])).
% 0.12/0.37 thf(f27,plain,(
% 0.12/0.37 (singleton = (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))))),
% 0.12/0.37 inference(fool_elimination,[],[f26])).
% 0.12/0.37 thf(f26,plain,(
% 0.12/0.37 ((^[X0 : $i, X1 : $i] : ((X0 = X1))) = singleton)),
% 0.12/0.37 inference(rectify,[],[f3])).
% 0.12/0.37 thf(f3,axiom,(
% 0.12/0.37 ((^[X0 : $i, X2 : $i] : ((X0 = X2))) = singleton)),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_def)).
% 0.12/0.37 thf(f47,plain,(
% 0.12/0.37 ( ! [X0 : $i] : (((sup @ (singleton @ X0)) = X0)) )),
% 0.12/0.37 inference(cnf_transformation,[],[f5])).
% 0.12/0.37 thf(f5,axiom,(
% 0.12/0.37 ! [X0] : ((sup @ (singleton @ X0)) = X0)),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sup_singleset)).
% 0.12/0.37 thf(f65,plain,(
% 0.12/0.37 ((sup @ (= @ sK0)) != sK0)),
% 0.12/0.37 inference(beta_eta_normalization,[],[f64])).
% 0.12/0.37 thf(f64,plain,(
% 0.12/0.37 ((sup @ (^[Y0 : $i]: (sK0 = Y0))) != sK0)),
% 0.12/0.37 inference(boolean_simplification,[],[f63])).
% 0.12/0.37 thf(f63,plain,(
% 0.12/0.37 ((sup @ (^[Y0 : $i]: ((sK0 = Y0) | (sK0 = Y0)))) != sK0)),
% 0.12/0.37 inference(beta_eta_normalization,[],[f57])).
% 0.12/0.37 thf(f57,plain,(
% 0.12/0.37 (((^[Y0 : $i]: ((^[Y1 : $i]: (sup @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2 = Y3)))) @ Y0) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2 = Y3)))) @ Y1)))))) @ sK0 @ sK0) != sK0)),
% 0.12/0.37 inference(definition_unfolding,[],[f42,f54])).
% 0.12/0.37 thf(f54,plain,(
% 0.12/0.37 (addition = (^[Y0 : $i]: ((^[Y1 : $i]: (sup @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2 = Y3)))) @ Y0) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2 = Y3)))) @ Y1)))))))),
% 0.12/0.37 inference(definition_unfolding,[],[f45,f39,f51,f51])).
% 0.12/0.37 thf(f39,plain,(
% 0.12/0.37 (union = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.12/0.37 inference(cnf_transformation,[],[f29])).
% 0.12/0.37 thf(f29,plain,(
% 0.12/0.37 (union = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.12/0.37 inference(fool_elimination,[],[f28])).
% 0.12/0.37 thf(f28,plain,(
% 0.12/0.37 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = union)),
% 0.12/0.37 inference(rectify,[],[f2])).
% 0.12/0.37 thf(f2,axiom,(
% 0.12/0.37 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = union)),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_def)).
% 0.12/0.37 thf(f45,plain,(
% 0.12/0.37 (addition = (^[Y0 : $i]: ((^[Y1 : $i]: (sup @ (union @ (singleton @ Y0) @ (singleton @ Y1)))))))),
% 0.12/0.37 inference(cnf_transformation,[],[f19])).
% 0.12/0.37 thf(f19,plain,(
% 0.12/0.37 (addition = (^[Y0 : $i]: ((^[Y1 : $i]: (sup @ (union @ (singleton @ Y0) @ (singleton @ Y1)))))))),
% 0.12/0.37 inference(fool_elimination,[],[f9])).
% 0.12/0.37 thf(f9,axiom,(
% 0.12/0.37 (addition = (^[X0 : $i, X1 : $i] : (sup @ (union @ (singleton @ X0) @ (singleton @ X1)))))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_def)).
% 0.12/0.37 thf(f42,plain,(
% 0.12/0.37 ((addition @ sK0 @ sK0) != sK0)),
% 0.12/0.37 inference(cnf_transformation,[],[f36])).
% 0.12/0.37 thf(f36,plain,(
% 0.12/0.37 ((addition @ sK0 @ sK0) != sK0)),
% 0.12/0.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f33,f35])).
% 0.12/0.37 thf(f35,plain,(
% 0.12/0.37 ? [X0] : ((addition @ X0 @ X0) != X0) => ((addition @ sK0 @ sK0) != sK0)),
% 0.12/0.37 introduced(choice_axiom,[])).
% 0.12/0.37 thf(f33,plain,(
% 0.12/0.37 ? [X0] : ((addition @ X0 @ X0) != X0)),
% 0.12/0.37 inference(ennf_transformation,[],[f32])).
% 0.12/0.37 thf(f32,plain,(
% 0.12/0.37 ~! [X0] : ((addition @ X0 @ X0) = X0)),
% 0.12/0.37 inference(rectify,[],[f16])).
% 0.12/0.37 thf(f16,negated_conjecture,(
% 0.12/0.37 ~! [X4] : ((addition @ X4 @ X4) = X4)),
% 0.12/0.37 inference(negated_conjecture,[],[f15])).
% 0.12/0.37 thf(f15,conjecture,(
% 0.12/0.37 ! [X4] : ((addition @ X4 @ X4) = X4)),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_idemp)).
% 0.12/0.37 % SZS output end Proof for theBenchmark
% 0.12/0.37 % (30686)------------------------------
% 0.12/0.37 % (30686)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (30686)Termination reason: Refutation
% 0.12/0.37
% 0.12/0.37 % (30686)Memory used [KB]: 5500
% 0.12/0.37 % (30686)Time elapsed: 0.005 s
% 0.12/0.37 % (30686)Instructions burned: 5 (million)
% 0.12/0.37 % (30686)------------------------------
% 0.12/0.37 % (30686)------------------------------
% 0.12/0.37 % (30683)Success in time 0.015 s
% 0.12/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------