TSTP Solution File: SEU797^2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU797^2 : 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 : n023.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 03:51:37 EDT 2024
% Result : Theorem 0.15s 0.37s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU797^2 : TPTP v8.2.0. Released v3.7.0.
% 0.11/0.13 % 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
% 0.15/0.34 % Computer : n023.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sun May 19 17:53:53 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.34 This is a TH0_THM_EQU_NAR problem
% 0.15/0.35 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
% 0.15/0.36 % (7858)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.15/0.36 % (7859)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)
% 0.15/0.36 % (7861)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.36 % (7860)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)
% 0.15/0.36 % (7862)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)
% 0.15/0.36 % (7864)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.37 % (7861)Instruction limit reached!
% 0.15/0.37 % (7861)------------------------------
% 0.15/0.37 % (7861)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (7861)Termination reason: Unknown
% 0.15/0.37 % (7862)Instruction limit reached!
% 0.15/0.37 % (7862)------------------------------
% 0.15/0.37 % (7862)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (7862)Termination reason: Unknown
% 0.15/0.37 % (7862)Termination phase: Function definition elimination
% 0.15/0.37
% 0.15/0.37 % (7862)Memory used [KB]: 895
% 0.15/0.37 % (7862)Time elapsed: 0.003 s
% 0.15/0.37 % (7862)Instructions burned: 2 (million)
% 0.15/0.37 % (7862)------------------------------
% 0.15/0.37 % (7862)------------------------------
% 0.15/0.37 % (7861)Termination phase: Function definition elimination
% 0.15/0.37
% 0.15/0.37 % (7861)Memory used [KB]: 895
% 0.15/0.37 % (7861)Time elapsed: 0.003 s
% 0.15/0.37 % (7861)Instructions burned: 2 (million)
% 0.15/0.37 % (7861)------------------------------
% 0.15/0.37 % (7861)------------------------------
% 0.15/0.37 % (7859)Instruction limit reached!
% 0.15/0.37 % (7859)------------------------------
% 0.15/0.37 % (7859)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (7859)Termination reason: Unknown
% 0.15/0.37 % (7859)Termination phase: Saturation
% 0.15/0.37
% 0.15/0.37 % (7859)Memory used [KB]: 5500
% 0.15/0.37 % (7859)Time elapsed: 0.005 s
% 0.15/0.37 % (7859)Instructions burned: 4 (million)
% 0.15/0.37 % (7859)------------------------------
% 0.15/0.37 % (7859)------------------------------
% 0.15/0.37 % (7858)First to succeed.
% 0.15/0.37 % (7863)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)
% 0.15/0.37 % (7860)Also succeeded, but the first one will report.
% 0.15/0.37 % (7858)Refutation found. Thanks to Tanya!
% 0.15/0.37 % SZS status Theorem for theBenchmark
% 0.15/0.37 % SZS output start Proof for theBenchmark
% 0.15/0.37 thf(func_def_0, type, in: $i > $i > $o).
% 0.15/0.37 thf(func_def_1, type, image1: $i > ($i > $i) > $i).
% 0.15/0.37 thf(func_def_17, type, sK1: $i > $i).
% 0.15/0.37 thf(func_def_21, type, sK5: $i > $i > ($i > $i) > $i).
% 0.15/0.37 thf(func_def_22, type, ph6: !>[X0: $tType]:(X0)).
% 0.15/0.37 thf(f44,plain,(
% 0.15/0.37 $false),
% 0.15/0.37 inference(trivial_inequality_removal,[],[f43])).
% 0.15/0.37 thf(f43,plain,(
% 0.15/0.37 ((sK1 @ sK3) != (sK1 @ sK3)) | ($true = $false)),
% 0.15/0.37 inference(superposition,[],[f15,f41])).
% 0.15/0.37 thf(f41,plain,(
% 0.15/0.37 ( ! [X0 : $i] : (((in @ X0 @ sK0) = $false) | ((sK1 @ X0) != (sK1 @ sK3))) )),
% 0.15/0.37 inference(trivial_inequality_removal,[],[f40])).
% 0.15/0.37 thf(f40,plain,(
% 0.15/0.37 ( ! [X0 : $i] : (((in @ X0 @ sK0) = $false) | ($true != $true) | ((sK1 @ X0) != (sK1 @ sK3))) )),
% 0.15/0.37 inference(superposition,[],[f39,f38])).
% 0.15/0.37 thf(f38,plain,(
% 0.15/0.37 ( ! [X2 : $i > $i,X3 : $i,X1 : $i,X4 : $i] : (((in @ X1 @ (image1 @ X3 @ X2)) = $true) | ($false = (in @ X4 @ X3)) | ((X2 @ X4) != X1)) )),
% 0.15/0.37 inference(equality_proxy_clausification,[],[f37])).
% 0.15/0.37 thf(f37,plain,(
% 0.15/0.37 ( ! [X2 : $i > $i,X3 : $i,X1 : $i,X4 : $i] : (((in @ X1 @ (image1 @ X3 @ X2)) = $true) | (((X2 @ X4) = X1) = $false) | ($false = (in @ X4 @ X3))) )),
% 0.15/0.37 inference(binary_proxy_clausification,[],[f36])).
% 0.15/0.37 thf(f36,plain,(
% 0.15/0.37 ( ! [X2 : $i > $i,X3 : $i,X1 : $i,X4 : $i] : ((((in @ X4 @ X3) & ((X2 @ X4) = X1)) = $false) | ((in @ X1 @ (image1 @ X3 @ X2)) = $true)) )),
% 0.15/0.37 inference(beta_eta_normalization,[],[f35])).
% 0.15/0.37 thf(f35,plain,(
% 0.15/0.37 ( ! [X2 : $i > $i,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ X3) & ((X2 @ Y0) = X1))) @ X4) = $false) | ((in @ X1 @ (image1 @ X3 @ X2)) = $true)) )),
% 0.15/0.37 inference(pi_clausification,[],[f28])).
% 0.15/0.37 thf(f28,plain,(
% 0.15/0.37 ( ! [X2 : $i > $i,X3 : $i,X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X3) & ((X2 @ Y0) = X1)))) = $false) | ((in @ X1 @ (image1 @ X3 @ X2)) = $true)) )),
% 0.15/0.37 inference(binary_proxy_clausification,[],[f27])).
% 0.15/0.37 thf(f27,plain,(
% 0.15/0.37 ( ! [X2 : $i > $i,X3 : $i,X1 : $i] : (((in @ X1 @ (image1 @ X3 @ X2)) = (?? @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X3) & ((X2 @ Y0) = X1)))))) )),
% 0.15/0.37 inference(binary_proxy_clausification,[],[f26])).
% 0.15/0.37 thf(f26,plain,(
% 0.15/0.37 ( ! [X2 : $i > $i,X3 : $i,X1 : $i] : ((((in @ X1 @ (image1 @ X3 @ X2)) = (?? @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X3) & ((X2 @ Y0) = X1))))) = $true)) )),
% 0.15/0.37 inference(beta_eta_normalization,[],[f25])).
% 0.15/0.37 thf(f25,plain,(
% 0.15/0.37 ( ! [X2 : $i > $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ X1 @ (image1 @ Y0 @ X2)) = (?? @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) & ((X2 @ Y1) = X1)))))) @ X3))) )),
% 0.15/0.37 inference(pi_clausification,[],[f24])).
% 0.15/0.37 thf(f24,plain,(
% 0.15/0.37 ( ! [X2 : $i > $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((in @ X1 @ (image1 @ Y0 @ X2)) = (?? @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) & ((X2 @ Y1) = X1))))))) = $true)) )),
% 0.15/0.37 inference(beta_eta_normalization,[],[f23])).
% 0.15/0.37 thf(f23,plain,(
% 0.15/0.37 ( ! [X2 : $i > $i,X1 : $i] : (($true = ((^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ X1 @ (image1 @ Y1 @ Y0)) = (?? @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) & ((Y0 @ Y2) = X1)))))))) @ X2))) )),
% 0.15/0.37 inference(pi_clausification,[],[f22])).
% 0.15/0.37 thf(f22,plain,(
% 0.15/0.37 ( ! [X1 : $i] : (((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ X1 @ (image1 @ Y1 @ Y0)) = (?? @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) & ((Y0 @ Y2) = X1))))))))) = $true)) )),
% 0.15/0.37 inference(beta_eta_normalization,[],[f21])).
% 0.15/0.37 thf(f21,plain,(
% 0.15/0.37 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (image1 @ Y2 @ Y1)) = (?? @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) & ((Y1 @ Y3) = Y0)))))))))) @ X1))) )),
% 0.15/0.37 inference(pi_clausification,[],[f20])).
% 0.15/0.37 thf(f20,plain,(
% 0.15/0.37 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (image1 @ Y2 @ Y1)) = (?? @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) & ((Y1 @ Y3) = Y0))))))))))))),
% 0.15/0.37 inference(beta_eta_normalization,[],[f19])).
% 0.15/0.37 thf(f19,plain,(
% 0.15/0.37 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (image1 @ Y2 @ (^[Y3 : $i]: (Y1 @ Y3)))) = (?? @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) & ((Y1 @ Y3) = Y0))))))))))) = $true)),
% 0.15/0.37 inference(definition_unfolding,[],[f14,f13])).
% 0.15/0.37 thf(f13,plain,(
% 0.15/0.37 (image1Equiv = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (image1 @ Y2 @ (^[Y3 : $i]: (Y1 @ Y3)))) = (?? @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) & ((Y1 @ Y3) = Y0))))))))))))),
% 0.15/0.37 inference(cnf_transformation,[],[f6])).
% 0.15/0.37 thf(f6,plain,(
% 0.15/0.37 (image1Equiv = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (image1 @ Y2 @ (^[Y3 : $i]: (Y1 @ Y3)))) = (?? @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) & ((Y1 @ Y3) = Y0))))))))))))),
% 0.15/0.37 inference(fool_elimination,[],[f5])).
% 0.15/0.37 thf(f5,plain,(
% 0.15/0.37 (image1Equiv = ! [X0,X1 : $i > $i,X2] : ((in @ X2 @ (image1 @ X0 @ (^[X3 : $i] : (X1 @ X3)))) <=> ? [X4] : (((X1 @ X4) = X2) & (in @ X4 @ X0))))),
% 0.15/0.37 inference(rectify,[],[f1])).
% 0.15/0.37 thf(f1,axiom,(
% 0.15/0.37 (image1Equiv = ! [X0,X1 : $i > $i,X2] : ((in @ X2 @ (image1 @ X0 @ (^[X3 : $i] : (X1 @ X3)))) <=> ? [X3] : (((X1 @ X3) = X2) & (in @ X3 @ X0))))),
% 0.15/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image1Equiv)).
% 0.15/0.37 thf(f14,plain,(
% 0.15/0.37 (image1Equiv = $true)),
% 0.15/0.37 inference(cnf_transformation,[],[f12])).
% 0.15/0.37 thf(f12,plain,(
% 0.15/0.37 (((in @ sK2 @ (image1 @ sK0 @ (^[Y0 : $i]: (sK1 @ Y0)))) != $true) & ((sK2 = (sK1 @ sK3)) & ((in @ sK3 @ sK0) = $true))) & (image1Equiv = $true)),
% 0.15/0.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f9,f11,f10])).
% 0.15/0.37 thf(f10,plain,(
% 0.15/0.37 ? [X0,X1 : $i > $i,X2] : (($true != (in @ X2 @ (image1 @ X0 @ (^[Y0 : $i]: (X1 @ Y0))))) & ? [X3] : (((X1 @ X3) = X2) & ((in @ X3 @ X0) = $true))) => (((in @ sK2 @ (image1 @ sK0 @ (^[Y0 : $i]: (sK1 @ Y0)))) != $true) & ? [X3] : ((sK2 = (sK1 @ X3)) & ((in @ X3 @ sK0) = $true)))),
% 0.15/0.37 introduced(choice_axiom,[])).
% 0.15/0.37 thf(f11,plain,(
% 0.15/0.37 ? [X3] : ((sK2 = (sK1 @ X3)) & ((in @ X3 @ sK0) = $true)) => ((sK2 = (sK1 @ sK3)) & ((in @ sK3 @ sK0) = $true))),
% 0.15/0.37 introduced(choice_axiom,[])).
% 0.15/0.37 thf(f9,plain,(
% 0.15/0.37 ? [X0,X1 : $i > $i,X2] : (($true != (in @ X2 @ (image1 @ X0 @ (^[Y0 : $i]: (X1 @ Y0))))) & ? [X3] : (((X1 @ X3) = X2) & ((in @ X3 @ X0) = $true))) & (image1Equiv = $true)),
% 0.15/0.37 inference(ennf_transformation,[],[f8])).
% 0.15/0.37 thf(f8,plain,(
% 0.15/0.37 ~((image1Equiv = $true) => ! [X0,X1 : $i > $i,X2] : (? [X3] : (((X1 @ X3) = X2) & ((in @ X3 @ X0) = $true)) => ($true = (in @ X2 @ (image1 @ X0 @ (^[Y0 : $i]: (X1 @ Y0)))))))),
% 0.15/0.37 inference(fool_elimination,[],[f7])).
% 0.15/0.37 thf(f7,plain,(
% 0.15/0.37 ~(image1Equiv => ! [X0,X1 : $i > $i,X2] : (? [X3] : (((X1 @ X3) = X2) & (in @ X3 @ X0)) => (in @ X2 @ (image1 @ X0 @ (^[X4 : $i] : (X1 @ X4))))))),
% 0.15/0.37 inference(rectify,[],[f3])).
% 0.15/0.37 thf(f3,negated_conjecture,(
% 0.15/0.37 ~(image1Equiv => ! [X0,X1 : $i > $i,X2] : (? [X3] : (((X1 @ X3) = X2) & (in @ X3 @ X0)) => (in @ X2 @ (image1 @ X0 @ (^[X3 : $i] : (X1 @ X3))))))),
% 0.15/0.37 inference(negated_conjecture,[],[f2])).
% 0.15/0.37 thf(f2,conjecture,(
% 0.15/0.37 image1Equiv => ! [X0,X1 : $i > $i,X2] : (? [X3] : (((X1 @ X3) = X2) & (in @ X3 @ X0)) => (in @ X2 @ (image1 @ X0 @ (^[X3 : $i] : (X1 @ X3)))))),
% 0.15/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image1I)).
% 0.15/0.37 thf(f39,plain,(
% 0.15/0.37 ($true != (in @ (sK1 @ sK3) @ (image1 @ sK0 @ sK1)))),
% 0.15/0.37 inference(beta_eta_normalization,[],[f18])).
% 0.15/0.37 thf(f18,plain,(
% 0.15/0.37 ($true != (in @ (sK1 @ sK3) @ (image1 @ sK0 @ (^[Y0 : $i]: (sK1 @ Y0)))))),
% 0.15/0.37 inference(definition_unfolding,[],[f17,f16])).
% 0.15/0.37 thf(f16,plain,(
% 0.15/0.37 (sK2 = (sK1 @ sK3))),
% 0.15/0.37 inference(cnf_transformation,[],[f12])).
% 0.15/0.37 thf(f17,plain,(
% 0.15/0.37 ((in @ sK2 @ (image1 @ sK0 @ (^[Y0 : $i]: (sK1 @ Y0)))) != $true)),
% 0.15/0.37 inference(cnf_transformation,[],[f12])).
% 0.15/0.37 thf(f15,plain,(
% 0.15/0.37 ((in @ sK3 @ sK0) = $true)),
% 0.15/0.37 inference(cnf_transformation,[],[f12])).
% 0.15/0.37 % SZS output end Proof for theBenchmark
% 0.15/0.37 % (7858)------------------------------
% 0.15/0.37 % (7858)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (7858)Termination reason: Refutation
% 0.15/0.37
% 0.15/0.37 % (7858)Memory used [KB]: 5500
% 0.15/0.37 % (7858)Time elapsed: 0.007 s
% 0.15/0.37 % (7858)Instructions burned: 4 (million)
% 0.15/0.37 % (7858)------------------------------
% 0.15/0.37 % (7858)------------------------------
% 0.15/0.37 % (7857)Success in time 0.006 s
% 0.15/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------