TSTP Solution File: SYO233^5 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SYO233^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n021.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 21:01:23 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : SYO233^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.13 % Command : run_vampire %s %d THM
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Jun 23 06:33:09 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.37 This is a TH0_THM_EQU_NAR problem
% 0.13/0.37 Running higher-order theorem proving
% 0.13/0.37 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
% 0.13/0.39 % (32320)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)
% 0.13/0.39 % (32321)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.39 % (32318)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.39 % (32323)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)
% 0.13/0.39 % (32322)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)
% 0.13/0.39 % (32319)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)
% 0.13/0.39 % (32324)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.39 % (32320)Refutation not found, incomplete strategy
% 0.13/0.39 % (32320)------------------------------
% 0.13/0.39 % (32320)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (32320)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 % (32320)Memory used [KB]: 5500
% 0.13/0.39 % (32320)Time elapsed: 0.004 s
% 0.13/0.39 % (32320)Instructions burned: 1 (million)
% 0.13/0.39 % (32320)------------------------------
% 0.13/0.39 % (32320)------------------------------
% 0.13/0.39 % (32318)First to succeed.
% 0.13/0.39 % (32322)Instruction limit reached!
% 0.13/0.39 % (32322)------------------------------
% 0.13/0.39 % (32322)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (32322)Termination reason: Unknown
% 0.13/0.39 % (32322)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (32322)Memory used [KB]: 5500
% 0.13/0.39 % (32322)Time elapsed: 0.005 s
% 0.13/0.39 % (32322)Instructions burned: 3 (million)
% 0.13/0.39 % (32322)------------------------------
% 0.13/0.39 % (32322)------------------------------
% 0.13/0.39 % (32321)Also succeeded, but the first one will report.
% 0.13/0.39 % (32319)Also succeeded, but the first one will report.
% 0.13/0.39 % (32318)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% 0.13/0.39 thf(func_def_0, type, cN: $i > $i).
% 0.13/0.39 thf(func_def_1, type, cM: $i > $i).
% 0.13/0.39 thf(func_def_7, type, ph1: !>[X0: $tType]:(X0)).
% 0.13/0.39 thf(f21,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(trivial_inequality_removal,[],[f20])).
% 0.13/0.39 thf(f20,plain,(
% 0.13/0.39 ((cN @ sK2) != (cN @ sK2))),
% 0.13/0.39 inference(superposition,[],[f9,f10])).
% 0.13/0.39 thf(f10,plain,(
% 0.13/0.39 ( ! [X0 : $i] : (((cM @ X0) = (cN @ X0))) )),
% 0.13/0.39 inference(leibniz_equality_elimination,[],[f8])).
% 0.13/0.39 thf(f8,plain,(
% 0.13/0.39 ( ! [X0 : $i,X1 : $i > $o] : (((X1 @ (cN @ X0)) = $true) | ((X1 @ (cM @ X0)) != $true)) )),
% 0.13/0.39 inference(cnf_transformation,[],[f6])).
% 0.13/0.39 thf(f6,plain,(
% 0.13/0.39 ! [X0,X1 : $i > $o] : (((X1 @ (cN @ X0)) = $true) | ((X1 @ (cM @ X0)) != $true)) & (cM != cN)),
% 0.13/0.39 inference(ennf_transformation,[],[f5])).
% 0.13/0.39 thf(f5,plain,(
% 0.13/0.39 ~(! [X1 : $i > $o,X0] : (((X1 @ (cM @ X0)) = $true) => ((X1 @ (cN @ X0)) = $true)) => (cM = cN))),
% 0.13/0.39 inference(fool_elimination,[],[f4])).
% 0.13/0.39 thf(f4,plain,(
% 0.13/0.39 ~(! [X0,X1 : $i > $o] : ((X1 @ (cM @ X0)) => (X1 @ (cN @ X0))) => (cM = cN))),
% 0.13/0.39 inference(rectify,[],[f2])).
% 0.13/0.39 thf(f2,negated_conjecture,(
% 0.13/0.39 ~(! [X0,X1 : $i > $o] : ((X1 @ (cM @ X0)) => (X1 @ (cN @ X0))) => (cM = cN))),
% 0.13/0.39 inference(negated_conjecture,[],[f1])).
% 0.13/0.39 thf(f1,conjecture,(
% 0.13/0.39 ! [X0,X1 : $i > $o] : ((X1 @ (cM @ X0)) => (X1 @ (cN @ X0))) => (cM = cN)),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cLEIBNIZ)).
% 0.13/0.39 thf(f9,plain,(
% 0.13/0.39 ((cN @ sK2) != (cM @ sK2))),
% 0.13/0.39 inference(negative_extensionality,[],[f7])).
% 0.13/0.39 thf(f7,plain,(
% 0.13/0.39 (cM != cN)),
% 0.13/0.39 inference(cnf_transformation,[],[f6])).
% 0.13/0.39 % SZS output end Proof for theBenchmark
% 0.13/0.39 % (32318)------------------------------
% 0.13/0.39 % (32318)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (32318)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (32318)Memory used [KB]: 5500
% 0.13/0.39 % (32318)Time elapsed: 0.004 s
% 0.13/0.39 % (32318)Instructions burned: 1 (million)
% 0.13/0.39 % (32318)------------------------------
% 0.13/0.39 % (32318)------------------------------
% 0.13/0.39 % (32317)Success in time 0.008 s
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