TSTP Solution File: ALG281^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG281^5 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n015.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 : Mon May 20 18:20:49 EDT 2024
% Result : Theorem 0.23s 0.40s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG281^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.15 % 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
% 0.16/0.37 % Computer : n015.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sat May 18 23:31:53 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a TH0_THM_EQU_NAR problem
% 0.16/0.37 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
% 0.23/0.39 % (18168)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)
% 0.23/0.39 % (18170)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.23/0.39 % (18167)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.23/0.39 % (18171)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)
% 0.23/0.39 % (18169)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)
% 0.23/0.39 % (18172)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)
% 0.23/0.39 % (18173)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.23/0.39 % (18174)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)
% 0.23/0.39 % (18171)Instruction limit reached!
% 0.23/0.39 % (18171)------------------------------
% 0.23/0.39 % (18171)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (18171)Termination reason: Unknown
% 0.23/0.39 % (18171)Termination phase: Saturation
% 0.23/0.39
% 0.23/0.39 % (18171)Memory used [KB]: 895
% 0.23/0.39 % (18171)Time elapsed: 0.003 s
% 0.23/0.39 % (18171)Instructions burned: 2 (million)
% 0.23/0.39 % (18171)------------------------------
% 0.23/0.39 % (18171)------------------------------
% 0.23/0.39 % (18170)Instruction limit reached!
% 0.23/0.39 % (18170)------------------------------
% 0.23/0.39 % (18170)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (18170)Termination reason: Unknown
% 0.23/0.39 % (18170)Termination phase: Saturation
% 0.23/0.39
% 0.23/0.39 % (18170)Memory used [KB]: 5500
% 0.23/0.39 % (18170)Time elapsed: 0.004 s
% 0.23/0.39 % (18170)Instructions burned: 2 (million)
% 0.23/0.39 % (18170)------------------------------
% 0.23/0.39 % (18170)------------------------------
% 0.23/0.39 % (18168)Instruction limit reached!
% 0.23/0.39 % (18168)------------------------------
% 0.23/0.39 % (18168)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (18168)Termination reason: Unknown
% 0.23/0.39 % (18168)Termination phase: Saturation
% 0.23/0.39
% 0.23/0.39 % (18168)Memory used [KB]: 5500
% 0.23/0.39 % (18168)Time elapsed: 0.005 s
% 0.23/0.39 % (18168)Instructions burned: 4 (million)
% 0.23/0.39 % (18168)------------------------------
% 0.23/0.39 % (18168)------------------------------
% 0.23/0.39 % (18174)Instruction limit reached!
% 0.23/0.39 % (18174)------------------------------
% 0.23/0.39 % (18174)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (18174)Termination reason: Unknown
% 0.23/0.39 % (18174)Termination phase: Saturation
% 0.23/0.39
% 0.23/0.39 % (18174)Memory used [KB]: 5500
% 0.23/0.39 % (18174)Time elapsed: 0.005 s
% 0.23/0.39 % (18174)Instructions burned: 3 (million)
% 0.23/0.39 % (18174)------------------------------
% 0.23/0.39 % (18174)------------------------------
% 0.23/0.40 % (18173)First to succeed.
% 0.23/0.40 % (18173)Refutation found. Thanks to Tanya!
% 0.23/0.40 % SZS status Theorem for theBenchmark
% 0.23/0.40 % SZS output start Proof for theBenchmark
% 0.23/0.40 thf(func_def_1, type, cJ: $i > $i).
% 0.23/0.40 thf(func_def_2, type, cP: $i > $i > $i).
% 0.23/0.40 thf(f91,plain,(
% 0.23/0.40 $false),
% 0.23/0.40 inference(trivial_inequality_removal,[],[f86])).
% 0.23/0.40 thf(f86,plain,(
% 0.23/0.40 (cE != cE)),
% 0.23/0.40 inference(superposition,[],[f10,f75])).
% 0.23/0.40 thf(f75,plain,(
% 0.23/0.40 ( ! [X0 : $i] : ((cE = (cP @ X0 @ (cJ @ X0)))) )),
% 0.23/0.40 inference(superposition,[],[f13,f60])).
% 0.23/0.40 thf(f60,plain,(
% 0.23/0.40 ( ! [X0 : $i] : (((cJ @ (cJ @ X0)) = X0)) )),
% 0.23/0.40 inference(superposition,[],[f55,f21])).
% 0.23/0.40 thf(f21,plain,(
% 0.23/0.40 ( ! [X0 : $i] : (((cP @ (cJ @ (cJ @ X0)) @ cE) = X0)) )),
% 0.23/0.40 inference(superposition,[],[f17,f13])).
% 0.23/0.40 thf(f17,plain,(
% 0.23/0.40 ( ! [X0 : $i,X1 : $i] : (((cP @ (cJ @ X0) @ (cP @ X0 @ X1)) = X1)) )),
% 0.23/0.40 inference(forward_demodulation,[],[f15,f12])).
% 0.23/0.40 thf(f12,plain,(
% 0.23/0.40 ( ! [X1 : $i] : (((cP @ cE @ X1) = X1)) )),
% 0.23/0.40 inference(cnf_transformation,[],[f9])).
% 0.23/0.40 thf(f9,plain,(
% 0.23/0.40 ! [X0] : (cE = (cP @ (cJ @ X0) @ X0)) & ! [X1] : ((cP @ cE @ X1) = X1) & ! [X2,X3,X4] : ((cP @ X4 @ (cP @ X2 @ X3)) = (cP @ (cP @ X4 @ X2) @ X3)) & (cE != (cP @ sK0 @ (cJ @ sK0)))),
% 0.23/0.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8])).
% 0.23/0.40 thf(f8,plain,(
% 0.23/0.40 ? [X5] : (cE != (cP @ X5 @ (cJ @ X5))) => (cE != (cP @ sK0 @ (cJ @ sK0)))),
% 0.23/0.40 introduced(choice_axiom,[])).
% 0.23/0.40 thf(f7,plain,(
% 0.23/0.40 ! [X0] : (cE = (cP @ (cJ @ X0) @ X0)) & ! [X1] : ((cP @ cE @ X1) = X1) & ! [X2,X3,X4] : ((cP @ X4 @ (cP @ X2 @ X3)) = (cP @ (cP @ X4 @ X2) @ X3)) & ? [X5] : (cE != (cP @ X5 @ (cJ @ X5)))),
% 0.23/0.40 inference(rectify,[],[f6])).
% 0.23/0.40 thf(f6,plain,(
% 0.23/0.40 ! [X4] : (cE = (cP @ (cJ @ X4) @ X4)) & ! [X0] : ((cP @ cE @ X0) = X0) & ! [X2,X1,X3] : ((cP @ (cP @ X3 @ X2) @ X1) = (cP @ X3 @ (cP @ X2 @ X1))) & ? [X5] : (cE != (cP @ X5 @ (cJ @ X5)))),
% 0.23/0.40 inference(flattening,[],[f5])).
% 0.23/0.40 thf(f5,plain,(
% 0.23/0.40 ? [X5] : (cE != (cP @ X5 @ (cJ @ X5))) & (! [X2,X1,X3] : ((cP @ (cP @ X3 @ X2) @ X1) = (cP @ X3 @ (cP @ X2 @ X1))) & ! [X4] : (cE = (cP @ (cJ @ X4) @ X4)) & ! [X0] : ((cP @ cE @ X0) = X0))),
% 0.23/0.40 inference(ennf_transformation,[],[f4])).
% 0.23/0.40 thf(f4,plain,(
% 0.23/0.40 ~((! [X2,X1,X3] : ((cP @ (cP @ X3 @ X2) @ X1) = (cP @ X3 @ (cP @ X2 @ X1))) & ! [X4] : (cE = (cP @ (cJ @ X4) @ X4)) & ! [X0] : ((cP @ cE @ X0) = X0)) => ! [X5] : (cE = (cP @ X5 @ (cJ @ X5))))),
% 0.23/0.40 inference(rectify,[],[f2])).
% 0.23/0.40 thf(f2,negated_conjecture,(
% 0.23/0.40 ~((! [X0] : ((cP @ cE @ X0) = X0) & ! [X2,X1,X0] : ((cP @ (cP @ X0 @ X1) @ X2) = (cP @ X0 @ (cP @ X1 @ X2))) & ! [X1] : (cE = (cP @ (cJ @ X1) @ X1))) => ! [X3] : (cE = (cP @ X3 @ (cJ @ X3))))),
% 0.23/0.40 inference(negated_conjecture,[],[f1])).
% 0.23/0.40 thf(f1,conjecture,(
% 0.23/0.40 (! [X0] : ((cP @ cE @ X0) = X0) & ! [X2,X1,X0] : ((cP @ (cP @ X0 @ X1) @ X2) = (cP @ X0 @ (cP @ X1 @ X2))) & ! [X1] : (cE = (cP @ (cJ @ X1) @ X1))) => ! [X3] : (cE = (cP @ X3 @ (cJ @ X3)))),
% 0.23/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM16_pme)).
% 0.23/0.40 thf(f15,plain,(
% 0.23/0.40 ( ! [X0 : $i,X1 : $i] : (((cP @ (cJ @ X0) @ (cP @ X0 @ X1)) = (cP @ cE @ X1))) )),
% 0.23/0.40 inference(superposition,[],[f11,f13])).
% 0.23/0.40 thf(f11,plain,(
% 0.23/0.40 ( ! [X2 : $i,X3 : $i,X4 : $i] : (((cP @ X4 @ (cP @ X2 @ X3)) = (cP @ (cP @ X4 @ X2) @ X3))) )),
% 0.23/0.40 inference(cnf_transformation,[],[f9])).
% 0.23/0.40 thf(f55,plain,(
% 0.23/0.40 ( ! [X0 : $i] : (((cP @ (cJ @ (cJ @ (cJ @ (cJ @ X0)))) @ cE) = X0)) )),
% 0.23/0.40 inference(superposition,[],[f17,f30])).
% 0.23/0.40 thf(f30,plain,(
% 0.23/0.40 ( ! [X0 : $i] : ((cE = (cP @ (cJ @ (cJ @ (cJ @ X0))) @ X0))) )),
% 0.23/0.40 inference(superposition,[],[f17,f21])).
% 0.23/0.40 thf(f13,plain,(
% 0.23/0.40 ( ! [X0 : $i] : ((cE = (cP @ (cJ @ X0) @ X0))) )),
% 0.23/0.40 inference(cnf_transformation,[],[f9])).
% 0.23/0.40 thf(f10,plain,(
% 0.23/0.40 (cE != (cP @ sK0 @ (cJ @ sK0)))),
% 0.23/0.40 inference(cnf_transformation,[],[f9])).
% 0.23/0.40 % SZS output end Proof for theBenchmark
% 0.23/0.40 % (18173)------------------------------
% 0.23/0.40 % (18173)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (18173)Termination reason: Refutation
% 0.23/0.40
% 0.23/0.40 % (18173)Memory used [KB]: 5500
% 0.23/0.40 % (18173)Time elapsed: 0.013 s
% 0.23/0.40 % (18173)Instructions burned: 14 (million)
% 0.23/0.40 % (18173)------------------------------
% 0.23/0.40 % (18173)------------------------------
% 0.23/0.40 % (18166)Success in time 0.014 s
% 0.23/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------