TSTP Solution File: CSR153^1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : CSR153^1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n022.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 Jun 24 05:32:56 EDT 2024
% Result : Theorem 0.12s 0.38s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR153^1 : TPTP v8.2.0. Released v4.1.0.
% 0.06/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 19:11:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a TH0_THM_EQU_NAR problem
% 0.12/0.35 Running higher-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.37 % (6535)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 (2999ds/27Mi)
% 0.12/0.37 % (6534)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 (2999ds/4Mi)
% 0.12/0.37 % (6536)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.37 % (6537)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 (2999ds/2Mi)
% 0.12/0.37 % (6533)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.37 % (6538)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 (2999ds/275Mi)
% 0.12/0.37 % (6539)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.37 % (6537)Instruction limit reached!
% 0.12/0.37 % (6537)------------------------------
% 0.12/0.37 % (6537)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.37 % (6537)Termination reason: Unknown
% 0.12/0.37 % (6537)Termination phase: Naming
% 0.12/0.37
% 0.12/0.37 % (6537)Memory used [KB]: 895
% 0.12/0.37 % (6537)Time elapsed: 0.003 s
% 0.12/0.37 % (6537)Instructions burned: 2 (million)
% 0.12/0.37 % (6537)------------------------------
% 0.12/0.37 % (6537)------------------------------
% 0.12/0.37 % (6536)Instruction limit reached!
% 0.12/0.37 % (6536)------------------------------
% 0.12/0.37 % (6536)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.37 % (6536)Termination reason: Unknown
% 0.12/0.37 % (6536)Termination phase: Saturation
% 0.12/0.37
% 0.12/0.37 % (6536)Memory used [KB]: 5500
% 0.12/0.37 % (6536)Time elapsed: 0.004 s
% 0.12/0.37 % (6536)Instructions burned: 2 (million)
% 0.12/0.37 % (6536)------------------------------
% 0.12/0.37 % (6536)------------------------------
% 0.12/0.37 % (6534)Instruction limit reached!
% 0.12/0.37 % (6534)------------------------------
% 0.12/0.37 % (6534)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.37 % (6534)Termination reason: Unknown
% 0.12/0.37 % (6534)Termination phase: Saturation
% 0.12/0.37
% 0.12/0.37 % (6534)Memory used [KB]: 5500
% 0.12/0.37 % (6534)Time elapsed: 0.005 s
% 0.12/0.37 % (6534)Instructions burned: 4 (million)
% 0.12/0.37 % (6534)------------------------------
% 0.12/0.37 % (6534)------------------------------
% 0.12/0.37 % (6535)Refutation not found, incomplete strategy
% 0.12/0.37 % (6535)------------------------------
% 0.12/0.37 % (6535)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.37 % (6535)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 % (6535)Memory used [KB]: 5500
% 0.12/0.37 % (6535)Time elapsed: 0.005 s
% 0.12/0.37 % (6535)Instructions burned: 3 (million)
% 0.12/0.37 % (6535)------------------------------
% 0.12/0.37 % (6535)------------------------------
% 0.12/0.38 % (6533)First to succeed.
% 0.12/0.38 % (6539)Also succeeded, but the first one will report.
% 0.12/0.38 % (6533)Refutation found. Thanks to Tanya!
% 0.12/0.38 % SZS status Theorem for theBenchmark
% 0.12/0.38 % SZS output start Proof for theBenchmark
% 0.12/0.38 thf(func_def_0, type, num: $tType).
% 0.12/0.38 thf(func_def_1, type, brother_THFTYPE_IiioI: $i > $i > $o).
% 0.12/0.38 thf(func_def_6, type, sister_THFTYPE_IiioI: $i > $i > $o).
% 0.12/0.38 thf(func_def_17, type, ph1: !>[X0: $tType]:(X0)).
% 0.12/0.38 thf(f101,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(flex-flex_simplify,[],[f100])).
% 0.12/0.38 thf(f100,plain,(
% 0.12/0.38 ( ! [X2 : $i,X1 : $i] : ((X1 != X2)) )),
% 0.12/0.38 inference(subsumption_resolution,[],[f99,f52])).
% 0.12/0.38 thf(f52,plain,(
% 0.12/0.38 (lSue_THFTYPE_i != lBob_THFTYPE_i)),
% 0.12/0.38 inference(equality_proxy_clausification,[],[f51])).
% 0.12/0.38 thf(f51,plain,(
% 0.12/0.38 ((lSue_THFTYPE_i = lBob_THFTYPE_i) = $false)),
% 0.12/0.38 inference(not_proxy_clausification,[],[f23])).
% 0.12/0.38 thf(f23,plain,(
% 0.12/0.38 ((~ (lSue_THFTYPE_i = lBob_THFTYPE_i)) = $true)),
% 0.12/0.38 inference(cnf_transformation,[],[f20])).
% 0.12/0.38 thf(f20,plain,(
% 0.12/0.38 ($true = (~ (lSue_THFTYPE_i = lBill_THFTYPE_i))) & ((~ (lSue_THFTYPE_i = lBob_THFTYPE_i)) = $true)),
% 0.12/0.38 inference(fool_elimination,[],[f19])).
% 0.12/0.38 thf(f19,plain,(
% 0.12/0.38 (~ (lSue_THFTYPE_i = lBob_THFTYPE_i)) & (~ (lSue_THFTYPE_i = lBill_THFTYPE_i))),
% 0.12/0.38 inference(rectify,[],[f3])).
% 0.12/0.38 thf(f3,axiom,(
% 0.12/0.38 (~ (lSue_THFTYPE_i = lBob_THFTYPE_i)) & (~ (lSue_THFTYPE_i = lBill_THFTYPE_i))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002)).
% 0.12/0.38 thf(f99,plain,(
% 0.12/0.38 ( ! [X2 : $i,X1 : $i] : ((lSue_THFTYPE_i = lBob_THFTYPE_i) | (X1 != X2)) )),
% 0.12/0.38 inference(subsumption_resolution,[],[f82,f36])).
% 0.12/0.38 thf(f36,plain,(
% 0.12/0.38 (lBill_THFTYPE_i != lBob_THFTYPE_i)),
% 0.12/0.38 inference(equality_proxy_clausification,[],[f35])).
% 0.12/0.38 thf(f35,plain,(
% 0.12/0.38 ((lBill_THFTYPE_i = lBob_THFTYPE_i) = $false)),
% 0.12/0.38 inference(not_proxy_clausification,[],[f22])).
% 0.12/0.38 thf(f22,plain,(
% 0.12/0.38 ((~ (lBill_THFTYPE_i = lBob_THFTYPE_i)) = $true)),
% 0.12/0.38 inference(cnf_transformation,[],[f14])).
% 0.12/0.38 thf(f14,plain,(
% 0.12/0.38 ((~ (lBill_THFTYPE_i = lBob_THFTYPE_i)) = $true)),
% 0.12/0.38 inference(fool_elimination,[],[f13])).
% 0.12/0.38 thf(f13,plain,(
% 0.12/0.38 (~ (lBill_THFTYPE_i = lBob_THFTYPE_i))),
% 0.12/0.38 inference(rectify,[],[f5])).
% 0.12/0.38 thf(f5,axiom,(
% 0.12/0.38 (~ (lBill_THFTYPE_i = lBob_THFTYPE_i))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004)).
% 0.12/0.38 thf(f82,plain,(
% 0.12/0.38 ( ! [X2 : $i,X1 : $i] : ((lBill_THFTYPE_i = lBob_THFTYPE_i) | (X1 != X2) | (lSue_THFTYPE_i = lBob_THFTYPE_i)) )),
% 0.12/0.38 inference(equality_proxy_clausification,[],[f81])).
% 0.12/0.38 thf(f81,plain,(
% 0.12/0.38 ( ! [X2 : $i,X1 : $i] : ((lSue_THFTYPE_i = lBob_THFTYPE_i) | ((lBill_THFTYPE_i = lBob_THFTYPE_i) = $true) | (X1 != X2)) )),
% 0.12/0.38 inference(equality_proxy_clausification,[],[f80])).
% 0.12/0.38 thf(f80,plain,(
% 0.12/0.38 ( ! [X2 : $i,X1 : $i] : ((lSue_THFTYPE_i = lBob_THFTYPE_i) | ((X2 = X1) = $false) | ((lBill_THFTYPE_i = lBob_THFTYPE_i) = $true)) )),
% 0.12/0.38 inference(not_proxy_clausification,[],[f79])).
% 0.12/0.38 thf(f79,plain,(
% 0.12/0.38 ( ! [X2 : $i,X1 : $i] : (((~ (X2 = X1)) = $true) | (lSue_THFTYPE_i = lBob_THFTYPE_i) | ((lBill_THFTYPE_i = lBob_THFTYPE_i) = $true)) )),
% 0.12/0.38 inference(equality_proxy_clausification,[],[f78])).
% 0.12/0.38 thf(f78,plain,(
% 0.12/0.38 ( ! [X2 : $i,X1 : $i] : (($true = (lBob_THFTYPE_i = lSue_THFTYPE_i)) | ((~ (X2 = X1)) = $true) | ((lBill_THFTYPE_i = lBob_THFTYPE_i) = $true)) )),
% 0.12/0.38 inference(not_proxy_clausification,[],[f77])).
% 0.12/0.38 thf(f77,plain,(
% 0.12/0.38 ( ! [X2 : $i,X1 : $i] : (((~ (lBob_THFTYPE_i = lSue_THFTYPE_i)) != $true) | ((lBill_THFTYPE_i = lBob_THFTYPE_i) = $true) | ((~ (X2 = X1)) = $true)) )),
% 0.12/0.38 inference(not_proxy_clausification,[],[f76])).
% 0.12/0.38 thf(f76,plain,(
% 0.12/0.38 ( ! [X2 : $i,X1 : $i] : (((~ (lBill_THFTYPE_i = lBob_THFTYPE_i)) != $true) | ((~ (lBob_THFTYPE_i = lSue_THFTYPE_i)) != $true) | ((~ (X2 = X1)) = $true)) )),
% 0.12/0.38 inference(beta_eta_normalization,[],[f56])).
% 0.12/0.38 thf(f56,plain,(
% 0.12/0.38 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))) @ lSue_THFTYPE_i @ lBob_THFTYPE_i) != $true) | ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))) @ lBob_THFTYPE_i @ lBill_THFTYPE_i)) | (((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))) @ X1 @ X2) = $true)) )),
% 0.12/0.38 inference(primitive_instantiation,[],[f49])).
% 0.12/0.38 thf(f49,plain,(
% 0.12/0.38 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i] : (((X0 @ X1 @ X2) = $true) | ((X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i) != $true) | ((X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i) != $true)) )),
% 0.12/0.38 inference(pi_clausification,[],[f48])).
% 0.12/0.38 thf(f48,plain,(
% 0.12/0.38 ( ! [X0 : $i > $i > $o,X1 : $i] : (((!! @ $i @ (X0 @ X1)) = $true) | ((X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i) != $true) | ((X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i) != $true)) )),
% 0.12/0.38 inference(beta_eta_normalization,[],[f47])).
% 0.12/0.38 thf(f47,plain,(
% 0.12/0.38 ( ! [X0 : $i > $i > $o,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (X0 @ Y0))) @ X1)) | ((X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i) != $true) | ((X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i) != $true)) )),
% 0.12/0.38 inference(pi_clausification,[],[f46])).
% 0.12/0.38 thf(f46,plain,(
% 0.12/0.38 ( ! [X0 : $i > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X0 @ Y0)))) = $true) | ((X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i) != $true) | ((X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i) != $true)) )),
% 0.12/0.38 inference(not_proxy_clausification,[],[f45])).
% 0.12/0.38 thf(f45,plain,(
% 0.12/0.38 ( ! [X0 : $i > $i > $o] : (((X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i) != $true) | ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X0 @ Y0))))) != $true) | ((X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i) != $true)) )),
% 0.12/0.38 inference(beta_eta_normalization,[],[f25])).
% 0.12/0.38 thf(f25,plain,(
% 0.12/0.38 ( ! [X0 : $i > $i > $o] : (((X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i) != $true) | ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1)))))) != $true) | ((X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i) != $true)) )),
% 0.12/0.38 inference(cnf_transformation,[],[f21])).
% 0.12/0.38 thf(f21,plain,(
% 0.12/0.38 ! [X0 : $i > $i > $o] : (((X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i) != $true) | ((X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i) != $true) | ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1)))))) != $true))),
% 0.12/0.38 inference(ennf_transformation,[],[f10])).
% 0.12/0.38 thf(f10,plain,(
% 0.12/0.38 ~? [X0 : $i > $i > $o] : (((X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i) = $true) & ((X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i) = $true) & ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1)))))) = $true))),
% 0.12/0.38 inference(fool_elimination,[],[f9])).
% 0.12/0.38 thf(f9,plain,(
% 0.12/0.38 ~? [X0 : $i > $i > $o] : ((X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i) & (~ ! [X1,X2] : (X0 @ X2 @ X1)) & (X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i))),
% 0.12/0.38 inference(rectify,[],[f7])).
% 0.12/0.38 thf(f7,negated_conjecture,(
% 0.12/0.38 ~? [X0 : $i > $i > $o] : ((X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i) & (~ ! [X2,X1] : (X0 @ X1 @ X2)) & (X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i))),
% 0.12/0.38 inference(negated_conjecture,[],[f6])).
% 0.12/0.38 thf(f6,conjecture,(
% 0.12/0.38 ? [X0 : $i > $i > $o] : ((X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i) & (~ ! [X2,X1] : (X0 @ X1 @ X2)) & (X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.12/0.38 % SZS output end Proof for theBenchmark
% 0.12/0.38 % (6533)------------------------------
% 0.12/0.38 % (6533)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (6533)Termination reason: Refutation
% 0.12/0.38
% 0.12/0.38 % (6533)Memory used [KB]: 5500
% 0.12/0.38 % (6533)Time elapsed: 0.009 s
% 0.12/0.38 % (6533)Instructions burned: 8 (million)
% 0.12/0.38 % (6533)------------------------------
% 0.12/0.38 % (6533)------------------------------
% 0.12/0.38 % (6532)Success in time 0.008 s
%------------------------------------------------------------------------------