TSTP Solution File: SYO547^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO547^1 : TPTP v8.2.0. Released v5.2.0.
% 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 : n017.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 09:06:11 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYO547^1 : TPTP v8.2.0. Released v5.2.0.
% 0.13/0.15 % 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
% 0.14/0.36 % Computer : n017.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 : Mon May 20 10:05:38 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/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38 % (9551)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.38 % (9551)Instruction limit reached!
% 0.14/0.38 % (9551)------------------------------
% 0.14/0.38 % (9551)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (9551)Termination reason: Unknown
% 0.14/0.38 % (9551)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (9551)Memory used [KB]: 5373
% 0.14/0.38 % (9551)Time elapsed: 0.002 s
% 0.14/0.38 % (9551)Instructions burned: 2 (million)
% 0.14/0.38 % (9551)------------------------------
% 0.14/0.38 % (9551)------------------------------
% 0.14/0.38 % (9548)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.38 % (9550)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)
% 0.14/0.38 % (9553)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)
% 0.14/0.38 % (9552)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)
% 0.14/0.38 % (9549)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)
% 0.14/0.38 % (9553)Refutation not found, incomplete strategy
% 0.14/0.38 % (9553)------------------------------
% 0.14/0.38 % (9553)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (9553)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (9553)Memory used [KB]: 5500
% 0.14/0.38 % (9553)Time elapsed: 0.003 s
% 0.14/0.38 % (9553)Instructions burned: 1 (million)
% 0.14/0.38 % (9553)------------------------------
% 0.14/0.38 % (9553)------------------------------
% 0.14/0.38 % (9552)Instruction limit reached!
% 0.14/0.38 % (9552)------------------------------
% 0.14/0.38 % (9552)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (9552)Termination reason: Unknown
% 0.14/0.38 % (9552)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (9552)Memory used [KB]: 5500
% 0.14/0.38 % (9552)Time elapsed: 0.003 s
% 0.14/0.38 % (9552)Instructions burned: 2 (million)
% 0.14/0.38 % (9552)------------------------------
% 0.14/0.38 % (9552)------------------------------
% 0.14/0.38 % (9550)First to succeed.
% 0.14/0.38 % (9554)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.38 % (9555)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)
% 0.14/0.38 % (9560)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)
% 0.14/0.38 % (9549)Instruction limit reached!
% 0.14/0.38 % (9549)------------------------------
% 0.14/0.38 % (9549)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (9549)Termination reason: Unknown
% 0.14/0.38 % (9549)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.39 % (9549)Memory used [KB]: 5500
% 0.14/0.39 % (9549)Time elapsed: 0.005 s
% 0.14/0.39 % (9549)Instructions burned: 4 (million)
% 0.14/0.39 % (9549)------------------------------
% 0.14/0.39 % (9549)------------------------------
% 0.14/0.39 % (9550)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% 0.14/0.39 thf(func_def_0, type, eps: ($i > $o) > $i).
% 0.14/0.39 thf(func_def_2, type, epscomp: ($i > $o) > $i).
% 0.14/0.39 thf(func_def_3, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.14/0.39 thf(func_def_10, type, sK0: $i > $o).
% 0.14/0.39 thf(func_def_13, type, ph3: !>[X0: $tType]:(X0)).
% 0.14/0.39 thf(f46,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(avatar_sat_refutation,[],[f35,f38,f42])).
% 0.14/0.39 thf(f42,plain,(
% 0.14/0.39 ~spl2_1),
% 0.14/0.39 inference(avatar_contradiction_clause,[],[f41])).
% 0.14/0.39 thf(f41,plain,(
% 0.14/0.39 $false | ~spl2_1),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f39])).
% 0.14/0.39 thf(f39,plain,(
% 0.14/0.39 ($false = $true) | ~spl2_1),
% 0.14/0.39 inference(backward_demodulation,[],[f23,f31])).
% 0.14/0.39 thf(f31,plain,(
% 0.14/0.39 ((sK0 @ (eps @ (^[Y0 : $i]: (~ (sK0 @ Y0))))) = $false) | ~spl2_1),
% 0.14/0.39 inference(avatar_component_clause,[],[f29])).
% 0.14/0.39 thf(f29,plain,(
% 0.14/0.39 spl2_1 <=> ((sK0 @ (eps @ (^[Y0 : $i]: (~ (sK0 @ Y0))))) = $false)),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl2_1])])).
% 0.14/0.39 thf(f23,plain,(
% 0.14/0.39 ((sK0 @ (eps @ (^[Y0 : $i]: (~ (sK0 @ Y0))))) = $true)),
% 0.14/0.39 inference(beta_eta_normalization,[],[f22])).
% 0.14/0.39 thf(f22,plain,(
% 0.14/0.39 ((sK0 @ ((^[Y0 : $i > $o]: (eps @ (^[Y1 : $i]: (~ (Y0 @ Y1))))) @ sK0)) = $true)),
% 0.14/0.39 inference(definition_unfolding,[],[f19,f21])).
% 0.14/0.39 thf(f21,plain,(
% 0.14/0.39 (epscomp = (^[Y0 : $i > $o]: (eps @ (^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.14/0.39 inference(cnf_transformation,[],[f11])).
% 0.14/0.39 thf(f11,plain,(
% 0.14/0.39 (epscomp = (^[Y0 : $i > $o]: (eps @ (^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.14/0.39 inference(fool_elimination,[],[f10])).
% 0.14/0.39 thf(f10,plain,(
% 0.14/0.39 (epscomp = (^[X0 : $i > $o] : (eps @ (^[X1 : $i] : (~(X0 @ X1))))))),
% 0.14/0.39 inference(rectify,[],[f2])).
% 0.14/0.39 thf(f2,axiom,(
% 0.14/0.39 (epscomp = (^[X0 : $i > $o] : (eps @ (^[X1 : $i] : (~(X0 @ X1))))))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',epscompd)).
% 0.14/0.39 thf(f19,plain,(
% 0.14/0.39 ((sK0 @ (epscomp @ sK0)) = $true)),
% 0.14/0.39 inference(cnf_transformation,[],[f17])).
% 0.14/0.39 thf(f17,plain,(
% 0.14/0.39 ((sK0 @ (epscomp @ sK0)) = $true) & ((sK0 @ sK1) != $true)),
% 0.14/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f13,f16,f15])).
% 0.14/0.39 thf(f15,plain,(
% 0.14/0.39 ? [X0 : $i > $o] : (((X0 @ (epscomp @ X0)) = $true) & ? [X1] : ((X0 @ X1) != $true)) => (((sK0 @ (epscomp @ sK0)) = $true) & ? [X1] : ((sK0 @ X1) != $true))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f16,plain,(
% 0.14/0.39 ? [X1] : ((sK0 @ X1) != $true) => ((sK0 @ sK1) != $true)),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f13,plain,(
% 0.14/0.39 ? [X0 : $i > $o] : (((X0 @ (epscomp @ X0)) = $true) & ? [X1] : ((X0 @ X1) != $true))),
% 0.14/0.39 inference(ennf_transformation,[],[f12])).
% 0.14/0.39 thf(f12,plain,(
% 0.14/0.39 ~! [X0 : $i > $o] : (? [X1] : ((X0 @ X1) != $true) => ((X0 @ (epscomp @ X0)) != $true))),
% 0.14/0.39 inference(flattening,[],[f7])).
% 0.14/0.39 thf(f7,plain,(
% 0.14/0.39 ~! [X0 : $i > $o] : (? [X1] : ~((X0 @ X1) = $true) => ~((X0 @ (epscomp @ X0)) = $true))),
% 0.14/0.39 inference(fool_elimination,[],[f6])).
% 0.14/0.39 thf(f6,plain,(
% 0.14/0.39 ~! [X0 : $i > $o] : (? [X1] : ~(X0 @ X1) => ~(X0 @ (epscomp @ X0)))),
% 0.14/0.39 inference(rectify,[],[f4])).
% 0.14/0.39 thf(f4,negated_conjecture,(
% 0.14/0.39 ~! [X0 : $i > $o] : (? [X1] : ~(X0 @ X1) => ~(X0 @ (epscomp @ X0)))),
% 0.14/0.39 inference(negated_conjecture,[],[f3])).
% 0.14/0.39 thf(f3,conjecture,(
% 0.14/0.39 ! [X0 : $i > $o] : (? [X1] : ~(X0 @ X1) => ~(X0 @ (epscomp @ X0)))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',choicecomp)).
% 0.14/0.39 thf(f38,plain,(
% 0.14/0.39 ~spl2_2),
% 0.14/0.39 inference(avatar_contradiction_clause,[],[f37])).
% 0.14/0.39 thf(f37,plain,(
% 0.14/0.39 $false | ~spl2_2),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f36])).
% 0.14/0.39 thf(f36,plain,(
% 0.14/0.39 ($true != $true) | ~spl2_2),
% 0.14/0.39 inference(superposition,[],[f18,f34])).
% 0.14/0.39 thf(f34,plain,(
% 0.14/0.39 ( ! [X1 : $i] : (((sK0 @ X1) = $true)) ) | ~spl2_2),
% 0.14/0.39 inference(avatar_component_clause,[],[f33])).
% 0.14/0.39 thf(f33,plain,(
% 0.14/0.39 spl2_2 <=> ! [X1] : ((sK0 @ X1) = $true)),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
% 0.14/0.39 thf(f18,plain,(
% 0.14/0.39 ((sK0 @ sK1) != $true)),
% 0.14/0.39 inference(cnf_transformation,[],[f17])).
% 0.14/0.39 thf(f35,plain,(
% 0.14/0.39 spl2_1 | spl2_2),
% 0.14/0.39 inference(avatar_split_clause,[],[f27,f33,f29])).
% 0.14/0.39 thf(f27,plain,(
% 0.14/0.39 ( ! [X1 : $i] : (((sK0 @ X1) = $true) | ((sK0 @ (eps @ (^[Y0 : $i]: (~ (sK0 @ Y0))))) = $false)) )),
% 0.14/0.39 inference(not_proxy_clausification,[],[f26])).
% 0.14/0.39 thf(f26,plain,(
% 0.14/0.39 ( ! [X1 : $i] : (($false = (~ (sK0 @ X1))) | ((sK0 @ (eps @ (^[Y0 : $i]: (~ (sK0 @ Y0))))) = $false)) )),
% 0.14/0.39 inference(not_proxy_clausification,[],[f25])).
% 0.14/0.39 thf(f25,plain,(
% 0.14/0.39 ( ! [X1 : $i] : (((~ (sK0 @ (eps @ (^[Y0 : $i]: (~ (sK0 @ Y0)))))) = $true) | ($false = (~ (sK0 @ X1)))) )),
% 0.14/0.39 inference(beta_eta_normalization,[],[f24])).
% 0.14/0.39 thf(f24,plain,(
% 0.14/0.39 ( ! [X1 : $i] : ((((^[Y0 : $i]: (~ (sK0 @ Y0))) @ (eps @ (^[Y0 : $i]: (~ (sK0 @ Y0))))) = $true) | ($false = ((^[Y0 : $i]: (~ (sK0 @ Y0))) @ X1))) )),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 % SZS output end Proof for theBenchmark
% 0.14/0.39 % (9550)------------------------------
% 0.14/0.39 % (9550)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (9550)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (9550)Memory used [KB]: 5500
% 0.14/0.39 % (9550)Time elapsed: 0.005 s
% 0.14/0.39 % (9550)Instructions burned: 2 (million)
% 0.14/0.39 % (9550)------------------------------
% 0.14/0.39 % (9550)------------------------------
% 0.14/0.39 % (9545)Success in time 0.011 s
% 0.14/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------