TSTP Solution File: SEU514^2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU514^2 : TPTP v8.2.0. Released v3.7.0.
% 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 : n012.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 03:49:16 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEU514^2 : TPTP v8.2.0. Released v3.7.0.
% 0.11/0.14 % 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
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun May 19 16:10:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TH0_THM_EQU_NAR problem
% 0.13/0.34 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
% 0.13/0.35 % (15542)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.13/0.35 % (15543)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)
% 0.13/0.36 % (15549)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)
% 0.13/0.36 % (15547)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)
% 0.13/0.36 % (15549)Refutation not found, incomplete strategy
% 0.13/0.36 % (15549)------------------------------
% 0.13/0.36 % (15549)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (15549)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.36
% 0.13/0.36
% 0.13/0.36 % (15549)Memory used [KB]: 5500
% 0.13/0.36 % (15549)Time elapsed: 0.004 s
% 0.13/0.36 % (15549)Instructions burned: 2 (million)
% 0.13/0.36 % (15549)------------------------------
% 0.13/0.36 % (15549)------------------------------
% 0.13/0.36 % (15542)First to succeed.
% 0.13/0.36 % (15543)Instruction limit reached!
% 0.13/0.36 % (15543)------------------------------
% 0.13/0.36 % (15543)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (15543)Termination reason: Unknown
% 0.13/0.36 % (15543)Termination phase: Saturation
% 0.13/0.36
% 0.13/0.36 % (15543)Memory used [KB]: 5500
% 0.13/0.36 % (15543)Time elapsed: 0.005 s
% 0.13/0.36 % (15543)Instructions burned: 4 (million)
% 0.13/0.36 % (15543)------------------------------
% 0.13/0.36 % (15543)------------------------------
% 0.13/0.36 % (15544)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)
% 0.13/0.36 % (15542)Refutation found. Thanks to Tanya!
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start Proof for theBenchmark
% 0.13/0.36 thf(func_def_0, type, in: $i > $i > $o).
% 0.13/0.36 thf(func_def_1, type, setadjoin: $i > $i > $i).
% 0.13/0.36 thf(f37,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(trivial_inequality_removal,[],[f36])).
% 0.13/0.36 thf(f36,plain,(
% 0.13/0.36 ($true = $false)),
% 0.13/0.36 inference(superposition,[],[f15,f34])).
% 0.13/0.36 thf(f34,plain,(
% 0.13/0.36 ($false = (in @ sK0 @ sK1))),
% 0.13/0.36 inference(trivial_inequality_removal,[],[f33])).
% 0.13/0.36 thf(f33,plain,(
% 0.13/0.36 ($true != $true) | ($false = (in @ sK0 @ sK1))),
% 0.13/0.36 inference(superposition,[],[f14,f28])).
% 0.13/0.36 thf(f28,plain,(
% 0.13/0.36 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (in @ X3 @ (setadjoin @ X1 @ X2))) | ($false = (in @ X3 @ X2))) )),
% 0.13/0.36 inference(binary_proxy_clausification,[],[f24])).
% 0.13/0.36 thf(f24,plain,(
% 0.13/0.36 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (in @ X3 @ (setadjoin @ X1 @ X2))) | (((X3 = X1) | (in @ X3 @ X2)) = $false)) )),
% 0.13/0.36 inference(binary_proxy_clausification,[],[f23])).
% 0.13/0.36 thf(f23,plain,(
% 0.13/0.36 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X3 @ (setadjoin @ X1 @ X2)) = ((X3 = X1) | (in @ X3 @ X2)))) )),
% 0.13/0.36 inference(binary_proxy_clausification,[],[f22])).
% 0.13/0.36 thf(f22,plain,(
% 0.13/0.36 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((X3 = X1) | (in @ X3 @ X2)) = (in @ X3 @ (setadjoin @ X1 @ X2))))) )),
% 0.13/0.36 inference(beta_eta_normalization,[],[f21])).
% 0.13/0.36 thf(f21,plain,(
% 0.13/0.36 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((Y0 = X1) | (in @ Y0 @ X2)) = (in @ Y0 @ (setadjoin @ X1 @ X2)))) @ X3))) )),
% 0.13/0.36 inference(pi_clausification,[],[f20])).
% 0.13/0.36 thf(f20,plain,(
% 0.13/0.36 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((Y0 = X1) | (in @ Y0 @ X2)) = (in @ Y0 @ (setadjoin @ X1 @ X2))))) = $true)) )),
% 0.13/0.36 inference(beta_eta_normalization,[],[f19])).
% 0.13/0.36 thf(f19,plain,(
% 0.13/0.36 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((Y1 = X1) | (in @ Y1 @ Y0)) = (in @ Y1 @ (setadjoin @ X1 @ Y0)))))) @ X2))) )),
% 0.13/0.36 inference(pi_clausification,[],[f18])).
% 0.13/0.36 thf(f18,plain,(
% 0.13/0.36 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((Y1 = X1) | (in @ Y1 @ Y0)) = (in @ Y1 @ (setadjoin @ X1 @ Y0))))))) = $true)) )),
% 0.13/0.36 inference(beta_eta_normalization,[],[f17])).
% 0.13/0.36 thf(f17,plain,(
% 0.13/0.36 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y0) | (in @ Y2 @ Y1)) = (in @ Y2 @ (setadjoin @ Y0 @ Y1)))))))) @ X1))) )),
% 0.13/0.36 inference(pi_clausification,[],[f16])).
% 0.13/0.36 thf(f16,plain,(
% 0.13/0.36 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y0) | (in @ Y2 @ Y1)) = (in @ Y2 @ (setadjoin @ Y0 @ Y1))))))))))),
% 0.13/0.36 inference(definition_unfolding,[],[f13,f12])).
% 0.13/0.36 thf(f12,plain,(
% 0.13/0.36 (setadjoinAx = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y0) | (in @ Y2 @ Y1)) = (in @ Y2 @ (setadjoin @ Y0 @ Y1))))))))))),
% 0.13/0.36 inference(cnf_transformation,[],[f6])).
% 0.13/0.36 thf(f6,plain,(
% 0.13/0.36 (setadjoinAx = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y0) | (in @ Y2 @ Y1)) = (in @ Y2 @ (setadjoin @ Y0 @ Y1))))))))))),
% 0.13/0.36 inference(fool_elimination,[],[f5])).
% 0.13/0.36 thf(f5,plain,(
% 0.13/0.36 (setadjoinAx = ! [X0,X1,X2] : (((in @ X0 @ X1) | (X0 = X2)) <=> (in @ X0 @ (setadjoin @ X2 @ X1))))),
% 0.13/0.36 inference(rectify,[],[f1])).
% 0.13/0.36 thf(f1,axiom,(
% 0.13/0.36 (setadjoinAx = ! [X2,X1,X0] : (((in @ X2 @ X1) | (X0 = X2)) <=> (in @ X2 @ (setadjoin @ X0 @ X1))))),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinAx)).
% 0.13/0.36 thf(f13,plain,(
% 0.13/0.36 (setadjoinAx = $true)),
% 0.13/0.36 inference(cnf_transformation,[],[f11])).
% 0.13/0.36 thf(f11,plain,(
% 0.13/0.36 (($true = (in @ sK0 @ sK1)) & ($true != (in @ sK0 @ (setadjoin @ sK2 @ sK1)))) & (setadjoinAx = $true)),
% 0.13/0.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f9,f10])).
% 0.13/0.36 thf(f10,plain,(
% 0.13/0.36 ? [X0,X1,X2] : (((in @ X0 @ X1) = $true) & ($true != (in @ X0 @ (setadjoin @ X2 @ X1)))) => (($true = (in @ sK0 @ sK1)) & ($true != (in @ sK0 @ (setadjoin @ sK2 @ sK1))))),
% 0.13/0.36 introduced(choice_axiom,[])).
% 0.13/0.36 thf(f9,plain,(
% 0.13/0.36 ? [X0,X1,X2] : (((in @ X0 @ X1) = $true) & ($true != (in @ X0 @ (setadjoin @ X2 @ X1)))) & (setadjoinAx = $true)),
% 0.13/0.36 inference(ennf_transformation,[],[f8])).
% 0.13/0.36 thf(f8,plain,(
% 0.13/0.36 ~((setadjoinAx = $true) => ! [X0,X1,X2] : (((in @ X0 @ X1) = $true) => ($true = (in @ X0 @ (setadjoin @ X2 @ X1)))))),
% 0.13/0.36 inference(fool_elimination,[],[f7])).
% 0.13/0.36 thf(f7,plain,(
% 0.13/0.36 ~(setadjoinAx => ! [X0,X1,X2] : ((in @ X0 @ X1) => (in @ X0 @ (setadjoin @ X2 @ X1))))),
% 0.13/0.36 inference(rectify,[],[f3])).
% 0.13/0.36 thf(f3,negated_conjecture,(
% 0.13/0.36 ~(setadjoinAx => ! [X2,X1,X0] : ((in @ X2 @ X1) => (in @ X2 @ (setadjoin @ X0 @ X1))))),
% 0.13/0.36 inference(negated_conjecture,[],[f2])).
% 0.13/0.36 thf(f2,conjecture,(
% 0.13/0.36 setadjoinAx => ! [X2,X1,X0] : ((in @ X2 @ X1) => (in @ X2 @ (setadjoin @ X0 @ X1)))),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinIR)).
% 0.13/0.36 thf(f14,plain,(
% 0.13/0.36 ($true != (in @ sK0 @ (setadjoin @ sK2 @ sK1)))),
% 0.13/0.36 inference(cnf_transformation,[],[f11])).
% 0.13/0.36 thf(f15,plain,(
% 0.13/0.36 ($true = (in @ sK0 @ sK1))),
% 0.13/0.36 inference(cnf_transformation,[],[f11])).
% 0.13/0.36 % SZS output end Proof for theBenchmark
% 0.13/0.36 % (15542)------------------------------
% 0.13/0.36 % (15542)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (15542)Termination reason: Refutation
% 0.13/0.36
% 0.13/0.36 % (15542)Memory used [KB]: 5500
% 0.13/0.36 % (15542)Time elapsed: 0.005 s
% 0.13/0.36 % (15542)Instructions burned: 3 (million)
% 0.13/0.36 % (15542)------------------------------
% 0.13/0.36 % (15542)------------------------------
% 0.13/0.36 % (15541)Success in time 0.017 s
% 0.13/0.36 % Vampire---4.8 exiting
%------------------------------------------------------------------------------