TSTP Solution File: SEU932^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU932^5 : TPTP v8.2.0. Released v4.0.0.
% 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 : n007.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 03:52:14 EDT 2024
% Result : Theorem 0.22s 0.38s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU932^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14 % 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
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 17:11:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 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/sandbox/benchmark/theBenchmark.p
% 0.22/0.38 % (27279)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)
% 0.22/0.38 % (27278)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.22/0.38 % (27280)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)
% 0.22/0.38 % (27281)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.22/0.38 % (27282)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 (3000ds/2Mi)
% 0.22/0.38 % (27283)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 (3000ds/275Mi)
% 0.22/0.38 % (27284)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.22/0.38 % (27285)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)
% 0.22/0.38 % (27281)Instruction limit reached!
% 0.22/0.38 % (27281)------------------------------
% 0.22/0.38 % (27281)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (27281)Termination reason: Unknown
% 0.22/0.38 % (27281)Termination phase: Saturation
% 0.22/0.38 % (27282)Instruction limit reached!
% 0.22/0.38 % (27282)------------------------------
% 0.22/0.38 % (27282)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (27282)Termination reason: Unknown
% 0.22/0.38 % (27282)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (27282)Memory used [KB]: 5500
% 0.22/0.38 % (27282)Time elapsed: 0.003 s
% 0.22/0.38 % (27282)Instructions burned: 2 (million)
% 0.22/0.38 % (27282)------------------------------
% 0.22/0.38 % (27282)------------------------------
% 0.22/0.38
% 0.22/0.38 % (27281)Memory used [KB]: 5500
% 0.22/0.38 % (27281)Time elapsed: 0.004 s
% 0.22/0.38 % (27281)Instructions burned: 2 (million)
% 0.22/0.38 % (27281)------------------------------
% 0.22/0.38 % (27281)------------------------------
% 0.22/0.38 % (27278)First to succeed.
% 0.22/0.38 % (27285)Instruction limit reached!
% 0.22/0.38 % (27285)------------------------------
% 0.22/0.38 % (27285)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (27285)Termination reason: Unknown
% 0.22/0.38 % (27285)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (27285)Memory used [KB]: 5500
% 0.22/0.38 % (27285)Time elapsed: 0.004 s
% 0.22/0.38 % (27285)Instructions burned: 3 (million)
% 0.22/0.38 % (27285)------------------------------
% 0.22/0.38 % (27285)------------------------------
% 0.22/0.38 % (27279)Also succeeded, but the first one will report.
% 0.22/0.38 % (27278)Refutation found. Thanks to Tanya!
% 0.22/0.38 % SZS status Theorem for theBenchmark
% 0.22/0.38 % SZS output start Proof for theBenchmark
% 0.22/0.38 thf(func_def_5, type, sK0: $i > $i).
% 0.22/0.38 thf(func_def_6, type, sK1: $i > $i).
% 0.22/0.38 thf(func_def_9, type, ph4: !>[X0: $tType]:(X0)).
% 0.22/0.38 thf(f23,plain,(
% 0.22/0.38 $false),
% 0.22/0.38 inference(subsumption_resolution,[],[f22,f12])).
% 0.22/0.38 thf(f12,plain,(
% 0.22/0.38 ( ! [X4 : $i] : (((sK0 @ X4) != X4)) )),
% 0.22/0.38 inference(cnf_transformation,[],[f11])).
% 0.22/0.38 thf(f11,plain,(
% 0.22/0.38 (((^[Y0 : $i]: (sK1 @ (sK0 @ Y0))) = (^[Y0 : $i]: (sK0 @ (sK1 @ Y0)))) & (! [X3] : (((sK1 @ X3) != X3) | (sK2 = X3)) & ((sK1 @ sK2) = sK2))) & ! [X4] : ((sK0 @ X4) != X4)),
% 0.22/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f10,f9,f8])).
% 0.22/0.38 thf(f8,plain,(
% 0.22/0.38 ? [X0 : $i > $i] : (? [X1 : $i > $i] : (((^[Y0 : $i]: (X1 @ (X0 @ Y0))) = (^[Y0 : $i]: (X0 @ (X1 @ Y0)))) & ? [X2] : (! [X3] : (((X1 @ X3) != X3) | (X2 = X3)) & ((X1 @ X2) = X2))) & ! [X4] : ((X0 @ X4) != X4)) => (? [X1 : $i > $i] : (((^[Y0 : $i]: (X1 @ (sK0 @ Y0))) = (^[Y0 : $i]: (sK0 @ (X1 @ Y0)))) & ? [X2] : (! [X3] : (((X1 @ X3) != X3) | (X2 = X3)) & ((X1 @ X2) = X2))) & ! [X4] : ((sK0 @ X4) != X4))),
% 0.22/0.38 introduced(choice_axiom,[])).
% 0.22/0.38 thf(f9,plain,(
% 0.22/0.38 ? [X1 : $i > $i] : (((^[Y0 : $i]: (X1 @ (sK0 @ Y0))) = (^[Y0 : $i]: (sK0 @ (X1 @ Y0)))) & ? [X2] : (! [X3] : (((X1 @ X3) != X3) | (X2 = X3)) & ((X1 @ X2) = X2))) => (((^[Y0 : $i]: (sK1 @ (sK0 @ Y0))) = (^[Y0 : $i]: (sK0 @ (sK1 @ Y0)))) & ? [X2] : (! [X3] : (((sK1 @ X3) != X3) | (X2 = X3)) & ((sK1 @ X2) = X2)))),
% 0.22/0.38 introduced(choice_axiom,[])).
% 0.22/0.38 thf(f10,plain,(
% 0.22/0.38 ? [X2] : (! [X3] : (((sK1 @ X3) != X3) | (X2 = X3)) & ((sK1 @ X2) = X2)) => (! [X3] : (((sK1 @ X3) != X3) | (sK2 = X3)) & ((sK1 @ sK2) = sK2))),
% 0.22/0.38 introduced(choice_axiom,[])).
% 0.22/0.38 thf(f7,plain,(
% 0.22/0.38 ? [X0 : $i > $i] : (? [X1 : $i > $i] : (((^[Y0 : $i]: (X1 @ (X0 @ Y0))) = (^[Y0 : $i]: (X0 @ (X1 @ Y0)))) & ? [X2] : (! [X3] : (((X1 @ X3) != X3) | (X2 = X3)) & ((X1 @ X2) = X2))) & ! [X4] : ((X0 @ X4) != X4))),
% 0.22/0.38 inference(ennf_transformation,[],[f6])).
% 0.22/0.38 thf(f6,plain,(
% 0.22/0.38 ~! [X0 : $i > $i] : (? [X1 : $i > $i] : (((^[Y0 : $i]: (X1 @ (X0 @ Y0))) = (^[Y0 : $i]: (X0 @ (X1 @ Y0)))) & ? [X2] : (((X1 @ X2) = X2) & ! [X3] : (((X1 @ X3) = X3) => (X2 = X3)))) => ? [X4] : ((X0 @ X4) = X4))),
% 0.22/0.38 inference(rectify,[],[f5])).
% 0.22/0.38 thf(f5,plain,(
% 0.22/0.38 ~! [X0 : $i > $i] : (? [X1 : $i > $i] : (((^[Y0 : $i]: (X1 @ (X0 @ Y0))) = (^[Y0 : $i]: (X0 @ (X1 @ Y0)))) & ? [X2] : (((X1 @ X2) = X2) & ! [X3] : (((X1 @ X3) = X3) => (X2 = X3)))) => ? [X6] : ((X0 @ X6) = X6))),
% 0.22/0.38 inference(fool_elimination,[],[f4])).
% 0.22/0.38 thf(f4,plain,(
% 0.22/0.38 ~! [X0 : $i > $i] : (? [X1 : $i > $i] : (? [X2] : (! [X3] : (((X1 @ X3) = X3) => (X2 = X3)) & ((X1 @ X2) = X2)) & ((^[X4 : $i] : (X1 @ (X0 @ X4))) = (^[X5 : $i] : (X0 @ (X1 @ X5))))) => ? [X6] : ((X0 @ X6) = X6))),
% 0.22/0.38 inference(rectify,[],[f2])).
% 0.22/0.38 thf(f2,negated_conjecture,(
% 0.22/0.38 ~! [X0 : $i > $i] : (? [X1 : $i > $i] : (? [X2] : (! [X3] : (((X1 @ X3) = X3) => (X2 = X3)) & ((X1 @ X2) = X2)) & ((^[X2 : $i] : (X1 @ (X0 @ X2))) = (^[X2 : $i] : (X0 @ (X1 @ X2))))) => ? [X4] : ((X0 @ X4) = X4))),
% 0.22/0.38 inference(negated_conjecture,[],[f1])).
% 0.22/0.38 thf(f1,conjecture,(
% 0.22/0.38 ! [X0 : $i > $i] : (? [X1 : $i > $i] : (? [X2] : (! [X3] : (((X1 @ X3) = X3) => (X2 = X3)) & ((X1 @ X2) = X2)) & ((^[X2 : $i] : (X1 @ (X0 @ X2))) = (^[X2 : $i] : (X0 @ (X1 @ X2))))) => ? [X4] : ((X0 @ X4) = X4))),
% 0.22/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM141_pme)).
% 0.22/0.38 thf(f22,plain,(
% 0.22/0.38 ((sK0 @ sK2) = sK2)),
% 0.22/0.38 inference(trivial_inequality_removal,[],[f20])).
% 0.22/0.38 thf(f20,plain,(
% 0.22/0.38 ((sK0 @ sK2) = sK2) | ((sK0 @ sK2) != (sK0 @ sK2))),
% 0.22/0.38 inference(superposition,[],[f19,f13])).
% 0.22/0.38 thf(f13,plain,(
% 0.22/0.38 ((sK1 @ sK2) = sK2)),
% 0.22/0.38 inference(cnf_transformation,[],[f11])).
% 0.22/0.38 thf(f19,plain,(
% 0.22/0.38 ( ! [X0 : $i] : (((sK0 @ (sK1 @ X0)) != (sK0 @ X0)) | ((sK0 @ X0) = sK2)) )),
% 0.22/0.38 inference(superposition,[],[f14,f18])).
% 0.22/0.38 thf(f18,plain,(
% 0.22/0.38 ( ! [X1 : $i] : (((sK1 @ (sK0 @ X1)) = (sK0 @ (sK1 @ X1)))) )),
% 0.22/0.38 inference(beta_eta_normalization,[],[f17])).
% 0.22/0.38 thf(f17,plain,(
% 0.22/0.38 ( ! [X1 : $i] : ((((^[Y0 : $i]: (sK1 @ (sK0 @ Y0))) @ X1) = ((^[Y0 : $i]: (sK0 @ (sK1 @ Y0))) @ X1))) )),
% 0.22/0.38 inference(argument_congruence,[],[f15])).
% 0.22/0.38 thf(f15,plain,(
% 0.22/0.38 ((^[Y0 : $i]: (sK1 @ (sK0 @ Y0))) = (^[Y0 : $i]: (sK0 @ (sK1 @ Y0))))),
% 0.22/0.38 inference(cnf_transformation,[],[f11])).
% 0.22/0.38 thf(f14,plain,(
% 0.22/0.38 ( ! [X3 : $i] : (((sK1 @ X3) != X3) | (sK2 = X3)) )),
% 0.22/0.38 inference(cnf_transformation,[],[f11])).
% 0.22/0.38 % SZS output end Proof for theBenchmark
% 0.22/0.38 % (27278)------------------------------
% 0.22/0.38 % (27278)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (27278)Termination reason: Refutation
% 0.22/0.38
% 0.22/0.38 % (27278)Memory used [KB]: 5500
% 0.22/0.38 % (27278)Time elapsed: 0.004 s
% 0.22/0.38 % (27278)Instructions burned: 2 (million)
% 0.22/0.38 % (27278)------------------------------
% 0.22/0.38 % (27278)------------------------------
% 0.22/0.38 % (27273)Success in time 0.017 s
% 0.22/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------