TSTP Solution File: SYO239^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO239^5 : 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 : n028.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 09:03:36 EDT 2024
% Result : Theorem 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYO239^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14 % 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
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 08:56:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 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
% 0.15/0.37 % (9733)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)
% 0.15/0.37 % (9734)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)
% 0.15/0.37 % (9732)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.15/0.37 % (9736)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)
% 0.15/0.38 % (9735)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.38 % (9737)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)
% 0.15/0.38 % (9738)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.38 % (9739)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)
% 0.15/0.38 % (9735)Instruction limit reached!
% 0.15/0.38 % (9735)------------------------------
% 0.15/0.38 % (9735)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (9735)Termination reason: Unknown
% 0.15/0.38 % (9735)Termination phase: Saturation
% 0.15/0.38 % (9736)Instruction limit reached!
% 0.15/0.38 % (9736)------------------------------
% 0.15/0.38 % (9736)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (9736)Termination reason: Unknown
% 0.15/0.38 % (9736)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (9736)Memory used [KB]: 5500
% 0.15/0.38 % (9736)Time elapsed: 0.004 s
% 0.15/0.38 % (9736)Instructions burned: 2 (million)
% 0.15/0.38 % (9736)------------------------------
% 0.15/0.38 % (9736)------------------------------
% 0.15/0.38
% 0.15/0.38 % (9735)Memory used [KB]: 5500
% 0.15/0.38 % (9735)Time elapsed: 0.004 s
% 0.15/0.38 % (9735)Instructions burned: 2 (million)
% 0.15/0.38 % (9735)------------------------------
% 0.15/0.38 % (9735)------------------------------
% 0.15/0.38 % (9739)Instruction limit reached!
% 0.15/0.38 % (9739)------------------------------
% 0.15/0.38 % (9739)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (9739)Termination reason: Unknown
% 0.15/0.38 % (9739)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (9739)Memory used [KB]: 5500
% 0.15/0.38 % (9739)Time elapsed: 0.005 s
% 0.15/0.38 % (9739)Instructions burned: 3 (million)
% 0.15/0.38 % (9739)------------------------------
% 0.15/0.38 % (9739)------------------------------
% 0.15/0.38 % (9733)Instruction limit reached!
% 0.15/0.38 % (9733)------------------------------
% 0.15/0.38 % (9733)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (9733)Termination reason: Unknown
% 0.15/0.38 % (9733)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (9733)Memory used [KB]: 5500
% 0.15/0.38 % (9733)Time elapsed: 0.006 s
% 0.15/0.38 % (9733)Instructions burned: 5 (million)
% 0.15/0.38 % (9733)------------------------------
% 0.15/0.38 % (9733)------------------------------
% 0.15/0.38 % (9734)Refutation not found, incomplete strategy
% 0.15/0.38 % (9734)------------------------------
% 0.15/0.38 % (9734)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (9734)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (9734)Memory used [KB]: 5500
% 0.15/0.38 % (9734)Time elapsed: 0.007 s
% 0.15/0.38 % (9734)Instructions burned: 6 (million)
% 0.15/0.38 % (9734)------------------------------
% 0.15/0.38 % (9734)------------------------------
% 0.15/0.39 % (9738)Instruction limit reached!
% 0.15/0.39 % (9738)------------------------------
% 0.15/0.39 % (9738)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (9738)Termination reason: Unknown
% 0.15/0.39 % (9738)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (9738)Memory used [KB]: 5628
% 0.15/0.39 % (9738)Time elapsed: 0.015 s
% 0.15/0.39 % (9738)Instructions burned: 19 (million)
% 0.15/0.39 % (9738)------------------------------
% 0.15/0.39 % (9738)------------------------------
% 0.15/0.39 % (9740)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.39 % (9741)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.39 % (9742)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.39 % (9743)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.15/0.39 % (9742)Instruction limit reached!
% 0.15/0.39 % (9742)------------------------------
% 0.15/0.39 % (9742)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (9742)Termination reason: Unknown
% 0.15/0.39 % (9742)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (9742)Memory used [KB]: 5500
% 0.15/0.39 % (9742)Time elapsed: 0.004 s
% 0.15/0.39 % (9742)Instructions burned: 3 (million)
% 0.15/0.39 % (9742)------------------------------
% 0.15/0.39 % (9742)------------------------------
% 0.15/0.40 % (9744)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.40 % (9740)First to succeed.
% 0.15/0.40 % (9744)Instruction limit reached!
% 0.15/0.40 % (9744)------------------------------
% 0.15/0.40 % (9744)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (9744)Termination reason: Unknown
% 0.15/0.40 % (9744)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (9744)Memory used [KB]: 1023
% 0.15/0.40 % (9744)Time elapsed: 0.007 s
% 0.15/0.40 % (9744)Instructions burned: 7 (million)
% 0.15/0.40 % (9744)------------------------------
% 0.15/0.40 % (9744)------------------------------
% 0.15/0.40 % (9741)Refutation not found, incomplete strategy
% 0.15/0.40 % (9741)------------------------------
% 0.15/0.40 % (9741)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (9741)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.40
% 0.15/0.40
% 0.15/0.40 % (9741)Memory used [KB]: 5500
% 0.15/0.40 % (9741)Time elapsed: 0.011 s
% 0.15/0.40 % (9741)Instructions burned: 11 (million)
% 0.15/0.40 % (9741)------------------------------
% 0.15/0.40 % (9741)------------------------------
% 0.15/0.40 % (9740)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Theorem for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% 0.15/0.40 thf(func_def_0, type, s: $i > $i).
% 0.15/0.40 thf(func_def_2, type, c_star: $i > $i > $i).
% 0.15/0.40 thf(func_def_16, type, ph1: !>[X0: $tType]:(X0)).
% 0.15/0.40 thf(func_def_17, type, sK2: ($i > $o) > $i).
% 0.15/0.40 thf(f38,plain,(
% 0.15/0.40 $false),
% 0.15/0.40 inference(trivial_inequality_removal,[],[f37])).
% 0.15/0.40 thf(f37,plain,(
% 0.15/0.40 ((?? @ $i @ (^[Y0 : $i]: ((c_star @ c2 @ Y0) = (sK2 @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((c_star @ c2 @ Y2) = Y1)))))))) != (?? @ $i @ (^[Y0 : $i]: ((c_star @ c2 @ Y0) = (sK2 @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((c_star @ c2 @ Y2) = Y1)))))))))),
% 0.15/0.40 inference(beta_eta_normalization,[],[f33])).
% 0.15/0.40 thf(f33,plain,(
% 0.15/0.40 (((^[Y0 : $i]: (?? @ $i @ ((^[Y1 : $i]: ((^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i]: (c_star @ ((^[Y5 : $i]: ((^[Y6 : $i]: (c2)))) @ Y3 @ Y4) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (Y6)))) @ Y3 @ Y4))))) @ Y1 @ Y2) = ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3)))) @ Y1 @ Y2))))) @ Y0))) @ (sK2 @ (^[Y0 : $i]: (?? @ $i @ ((^[Y1 : $i]: ((^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i]: (c_star @ ((^[Y5 : $i]: ((^[Y6 : $i]: (c2)))) @ Y3 @ Y4) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (Y6)))) @ Y3 @ Y4))))) @ Y1 @ Y2) = ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3)))) @ Y1 @ Y2))))) @ Y0))))) != (?? @ $i @ (^[Y0 : $i]: ((c_star @ c2 @ Y0) = (sK2 @ (^[Y1 : $i]: (?? @ $i @ ((^[Y2 : $i]: ((^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i]: (c_star @ ((^[Y6 : $i]: ((^[Y7 : $i]: (c2)))) @ Y4 @ Y5) @ ((^[Y6 : $i]: ((^[Y7 : $i]: (Y7)))) @ Y4 @ Y5))))) @ Y2 @ Y3) = ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4)))) @ Y2 @ Y3))))) @ Y1))))))))),
% 0.15/0.40 inference(superposition,[],[f14,f17])).
% 0.15/0.40 thf(f17,plain,(
% 0.15/0.40 ( ! [X1 : $i] : (((~ (?? @ $i @ (^[Y0 : $i]: ((c_star @ c2 @ Y0) = (s @ X1))))) = (?? @ $i @ (^[Y0 : $i]: ((c_star @ c2 @ Y0) = X1))))) )),
% 0.15/0.40 inference(binary_proxy_clausification,[],[f16])).
% 0.15/0.40 thf(f16,plain,(
% 0.15/0.40 ( ! [X1 : $i] : ((((~ (?? @ $i @ (^[Y0 : $i]: ((c_star @ c2 @ Y0) = (s @ X1))))) = (?? @ $i @ (^[Y0 : $i]: ((c_star @ c2 @ Y0) = X1)))) = $true)) )),
% 0.15/0.40 inference(beta_eta_normalization,[],[f15])).
% 0.15/0.40 thf(f15,plain,(
% 0.15/0.40 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = (s @ Y0))))) = (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = Y0))))) @ X1) = $true)) )),
% 0.15/0.40 inference(pi_clausification,[],[f9])).
% 0.15/0.40 thf(f9,plain,(
% 0.15/0.40 ((!! @ $i @ (^[Y0 : $i]: ((~ (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = (s @ Y0))))) = (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = Y0)))))) = $true)),
% 0.15/0.40 inference(binary_proxy_clausification,[],[f7])).
% 0.15/0.40 thf(f7,plain,(
% 0.15/0.40 (((!! @ $i @ (^[Y0 : $i]: ((~ (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = (s @ Y0))))) = (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = Y0)))))) => (?? @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) = (~ (Y0 @ (s @ Y1))))))))) = $false)),
% 0.15/0.40 inference(not_proxy_clausification,[],[f6])).
% 0.15/0.40 thf(f6,plain,(
% 0.15/0.40 ((~ ((!! @ $i @ (^[Y0 : $i]: ((~ (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = (s @ Y0))))) = (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = Y0)))))) => (?? @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) = (~ (Y0 @ (s @ Y1)))))))))) = $true)),
% 0.15/0.40 inference(cnf_transformation,[],[f5])).
% 0.15/0.40 thf(f5,plain,(
% 0.15/0.40 ((~ ((!! @ $i @ (^[Y0 : $i]: ((~ (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = (s @ Y0))))) = (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = Y0)))))) => (?? @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) = (~ (Y0 @ (s @ Y1)))))))))) = $true)),
% 0.15/0.40 inference(fool_elimination,[],[f4])).
% 0.15/0.40 thf(f4,plain,(
% 0.15/0.40 ~(! [X0] : (~? [X1] : ((c_star @ c2 @ X1) = (s @ X0)) <=> ? [X2] : ((c_star @ c2 @ X2) = X0)) => ? [X3 : $i > $o] : ! [X4] : ((X3 @ X4) <=> ~(X3 @ (s @ X4))))),
% 0.15/0.40 inference(rectify,[],[f2])).
% 0.15/0.40 thf(f2,negated_conjecture,(
% 0.15/0.40 ~(! [X0] : (~? [X2] : ((s @ X0) = (c_star @ c2 @ X2)) <=> ? [X1] : ((c_star @ c2 @ X1) = X0)) => ? [X3 : $i > $o] : ! [X0] : ((X3 @ X0) <=> ~(X3 @ (s @ X0))))),
% 0.15/0.40 inference(negated_conjecture,[],[f1])).
% 0.15/0.40 thf(f1,conjecture,(
% 0.15/0.40 ! [X0] : (~? [X2] : ((s @ X0) = (c_star @ c2 @ X2)) <=> ? [X1] : ((c_star @ c2 @ X1) = X0)) => ? [X3 : $i > $o] : ! [X0] : ((X3 @ X0) <=> ~(X3 @ (s @ X0)))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBLEDSOE_FENG_SV_EO1_W_LEM)).
% 0.15/0.40 thf(f14,plain,(
% 0.15/0.40 ( ! [X1 : $i > $o] : (((~ (X1 @ (s @ (sK2 @ X1)))) != (X1 @ (sK2 @ X1)))) )),
% 0.15/0.40 inference(binary_proxy_clausification,[],[f13])).
% 0.15/0.40 thf(f13,plain,(
% 0.15/0.40 ( ! [X1 : $i > $o] : (($false = ((X1 @ (sK2 @ X1)) = (~ (X1 @ (s @ (sK2 @ X1))))))) )),
% 0.15/0.40 inference(beta_eta_normalization,[],[f12])).
% 0.15/0.40 thf(f12,plain,(
% 0.15/0.40 ( ! [X1 : $i > $o] : (($false = ((^[Y0 : $i]: ((X1 @ Y0) = (~ (X1 @ (s @ Y0))))) @ (sK2 @ X1)))) )),
% 0.15/0.40 inference(sigma_clausification,[],[f11])).
% 0.15/0.40 thf(f11,plain,(
% 0.15/0.40 ( ! [X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) = (~ (X1 @ (s @ Y0)))))) = $false)) )),
% 0.15/0.40 inference(beta_eta_normalization,[],[f10])).
% 0.15/0.40 thf(f10,plain,(
% 0.15/0.40 ( ! [X1 : $i > $o] : (($false = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) = (~ (Y0 @ (s @ Y1))))))) @ X1))) )),
% 0.15/0.40 inference(pi_clausification,[],[f8])).
% 0.15/0.40 thf(f8,plain,(
% 0.15/0.40 ($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) = (~ (Y0 @ (s @ Y1)))))))))),
% 0.15/0.40 inference(binary_proxy_clausification,[],[f7])).
% 0.15/0.40 % SZS output end Proof for theBenchmark
% 0.15/0.40 % (9740)------------------------------
% 0.15/0.40 % (9740)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (9740)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (9740)Memory used [KB]: 5628
% 0.15/0.40 % (9740)Time elapsed: 0.012 s
% 0.15/0.40 % (9740)Instructions burned: 14 (million)
% 0.15/0.40 % (9740)------------------------------
% 0.15/0.40 % (9740)------------------------------
% 0.15/0.40 % (9731)Success in time 0.027 s
% 0.15/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------