TSTP Solution File: SEV429^1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV429^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n027.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 16:03:50 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV429^1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n027.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 : Fri Jun 21 18:58:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a TH0_THM_EQU_NAR problem
% 0.21/0.35 Running higher-order theorem proving
% 0.21/0.35 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.21/0.37 % (32116)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.37 % (32114)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)
% 0.21/0.37 % (32112)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)
% 0.21/0.37 % (32111)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)
% 0.21/0.37 % (32115)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)
% 0.21/0.37 % (32110)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.37 % (32113)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.38 % (32115)Refutation not found, incomplete strategy
% 0.21/0.38 % (32115)------------------------------
% 0.21/0.38 % (32115)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.38 % (32115)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.38
% 0.21/0.38
% 0.21/0.38 % (32115)Memory used [KB]: 5373
% 0.21/0.38 % (32115)Time elapsed: 0.004 s
% 0.21/0.38 % (32115)Instructions burned: 1 (million)
% 0.21/0.38 % (32115)------------------------------
% 0.21/0.38 % (32115)------------------------------
% 0.21/0.38 % (32112)Refutation not found, incomplete strategy
% 0.21/0.38 % (32112)------------------------------
% 0.21/0.38 % (32112)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.38 % (32112)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.38
% 0.21/0.38
% 0.21/0.38 % (32112)Memory used [KB]: 5500
% 0.21/0.38 % (32112)Time elapsed: 0.003 s
% 0.21/0.38 % (32112)Instructions burned: 1 (million)
% 0.21/0.38 % (32112)------------------------------
% 0.21/0.38 % (32112)------------------------------
% 0.21/0.38 % (32113)First to succeed.
% 0.21/0.38 % (32114)Instruction limit reached!
% 0.21/0.38 % (32114)------------------------------
% 0.21/0.38 % (32114)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.38 % (32114)Termination reason: Unknown
% 0.21/0.38 % (32114)Termination phase: Saturation
% 0.21/0.38
% 0.21/0.38 % (32114)Memory used [KB]: 5500
% 0.21/0.38 % (32114)Time elapsed: 0.005 s
% 0.21/0.38 % (32114)Instructions burned: 2 (million)
% 0.21/0.38 % (32114)------------------------------
% 0.21/0.38 % (32114)------------------------------
% 0.21/0.38 % (32113)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% 0.21/0.38 thf(func_def_0, type, f: $i > $i).
% 0.21/0.38 thf(func_def_4, type, sK0: ($i > $i) > $i).
% 0.21/0.38 thf(func_def_6, type, inv_f_2: $i > $i).
% 0.21/0.38 thf(func_def_7, type, ph3: !>[X0: $tType]:(X0)).
% 0.21/0.38 thf(f15,plain,(
% 0.21/0.38 $false),
% 0.21/0.38 inference(trivial_inequality_removal,[],[f14])).
% 0.21/0.38 thf(f14,plain,(
% 0.21/0.38 ((sK0 @ inv_f_2) != (sK0 @ inv_f_2))),
% 0.21/0.38 inference(superposition,[],[f11,f12])).
% 0.21/0.38 thf(f12,plain,(
% 0.21/0.38 ( ! [X0 : $i] : (((inv_f_2 @ (f @ X0)) = X0)) )),
% 0.21/0.38 inference(injectivity,[],[f10])).
% 0.21/0.38 thf(f10,plain,(
% 0.21/0.38 ( ! [X0 : $i,X1 : $i] : (((f @ X0) != (f @ X1)) | (X0 = X1)) )),
% 0.21/0.38 inference(cnf_transformation,[],[f7])).
% 0.21/0.38 thf(f7,plain,(
% 0.21/0.38 ! [X0,X1] : ((X0 = X1) | ((f @ X0) != (f @ X1)))),
% 0.21/0.38 inference(ennf_transformation,[],[f1])).
% 0.21/0.38 thf(f1,axiom,(
% 0.21/0.38 ! [X0,X1] : (((f @ X0) = (f @ X1)) => (X0 = X1))),
% 0.21/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finj)).
% 0.21/0.38 thf(f11,plain,(
% 0.21/0.38 ( ! [X0 : $i > $i] : (((sK0 @ X0) != (X0 @ (f @ (sK0 @ X0))))) )),
% 0.21/0.38 inference(cnf_transformation,[],[f9])).
% 0.21/0.38 thf(f9,plain,(
% 0.21/0.38 ! [X0 : $i > $i] : ((sK0 @ X0) != (X0 @ (f @ (sK0 @ X0))))),
% 0.21/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f8])).
% 0.21/0.38 thf(f8,plain,(
% 0.21/0.38 ! [X0 : $i > $i] : (? [X1] : ((X0 @ (f @ X1)) != X1) => ((sK0 @ X0) != (X0 @ (f @ (sK0 @ X0)))))),
% 0.21/0.38 introduced(choice_axiom,[])).
% 0.21/0.38 thf(f6,plain,(
% 0.21/0.38 ! [X0 : $i > $i] : ? [X1] : ((X0 @ (f @ X1)) != X1)),
% 0.21/0.38 inference(ennf_transformation,[],[f5])).
% 0.21/0.38 thf(f5,plain,(
% 0.21/0.38 ~? [X0 : $i > $i] : ! [X1] : ((X0 @ (f @ X1)) = X1)),
% 0.21/0.38 inference(rectify,[],[f3])).
% 0.21/0.38 thf(f3,negated_conjecture,(
% 0.21/0.38 ~? [X2 : $i > $i] : ! [X0] : ((X2 @ (f @ X0)) = X0)),
% 0.21/0.38 inference(negated_conjecture,[],[f2])).
% 0.21/0.38 thf(f2,conjecture,(
% 0.21/0.38 ? [X2 : $i > $i] : ! [X0] : ((X2 @ (f @ X0)) = X0)),
% 0.21/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invexists)).
% 0.21/0.38 % SZS output end Proof for theBenchmark
% 0.21/0.38 % (32113)------------------------------
% 0.21/0.38 % (32113)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.38 % (32113)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (32113)Memory used [KB]: 5500
% 0.21/0.38 % (32113)Time elapsed: 0.004 s
% 0.21/0.38 % (32113)Instructions burned: 1 (million)
% 0.21/0.38 % (32113)------------------------------
% 0.21/0.38 % (32113)------------------------------
% 0.21/0.38 % (32109)Success in time 0.019 s
%------------------------------------------------------------------------------