TSTP Solution File: ARI545_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI545_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n002.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 : Fri Sep 1 13:42:28 EDT 2023
% Result : Theorem 0.21s 0.46s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 7
% Syntax : Number of formulae : 42 ( 39 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 200 ( 40 atm; 62 fun; 48 num; 50 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 0 usr; 15 con; 0-2 aty)
% Number of variables : 50 (; 48 !; 2 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1882,plain,
$false,
inference(resolution,[],[f743,f16]) ).
tff(f16,plain,
! [X0: $int] : ~ $less($sum(X0,X0),-13),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: $int] : ~ $less($sum(X0,X0),-13),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : $less($sum(X0,X0),-13),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $int] : $less($sum(X0,X0),-13),
file('/export/starexec/sandbox/tmp/tmp.NZ87ZTaLf0/Vampire---4.8_7412',int_combined_problem_9) ).
tff(f743,plain,
! [X40: $int] : $less($sum(-13,X40),X40),
inference(evaluation,[],[f722]) ).
tff(f722,plain,
! [X40: $int] : $less($sum($uminus(13),X40),X40),
inference(superposition,[],[f309,f530]) ).
tff(f530,plain,
! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
inference(evaluation,[],[f489]) ).
tff(f489,plain,
! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = $sum(0,X3) ),
inference(superposition,[],[f4,f7]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_143,[]) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_139,[]) ).
tff(f309,plain,
! [X0: $int] : $less(X0,$sum(13,X0)),
inference(evaluation,[],[f302]) ).
tff(f302,plain,
! [X0: $int] : $less(X0,$sum(12,$sum(X0,1))),
inference(resolution,[],[f271,f85]) ).
tff(f85,plain,
! [X3: $int,X4: $int] :
( ~ $less($sum(X3,1),X4)
| $less(X3,X4) ),
inference(resolution,[],[f9,f30]) ).
tff(f30,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f12,f8]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_145,[]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ),
introduced(theory_axiom_146,[]) ).
tff(f271,plain,
! [X0: $int] : $less(X0,$sum(12,X0)),
inference(evaluation,[],[f264]) ).
tff(f264,plain,
! [X0: $int] : $less(X0,$sum(11,$sum(X0,1))),
inference(resolution,[],[f256,f85]) ).
tff(f256,plain,
! [X0: $int] : $less(X0,$sum(11,X0)),
inference(evaluation,[],[f249]) ).
tff(f249,plain,
! [X0: $int] : $less(X0,$sum(10,$sum(X0,1))),
inference(resolution,[],[f241,f85]) ).
tff(f241,plain,
! [X0: $int] : $less(X0,$sum(10,X0)),
inference(evaluation,[],[f234]) ).
tff(f234,plain,
! [X0: $int] : $less(X0,$sum(9,$sum(X0,1))),
inference(resolution,[],[f226,f85]) ).
tff(f226,plain,
! [X0: $int] : $less(X0,$sum(9,X0)),
inference(evaluation,[],[f219]) ).
tff(f219,plain,
! [X0: $int] : $less(X0,$sum(8,$sum(X0,1))),
inference(resolution,[],[f211,f85]) ).
tff(f211,plain,
! [X0: $int] : $less(X0,$sum(8,X0)),
inference(evaluation,[],[f204]) ).
tff(f204,plain,
! [X0: $int] : $less(X0,$sum(7,$sum(X0,1))),
inference(resolution,[],[f171,f85]) ).
tff(f171,plain,
! [X0: $int] : $less(X0,$sum(7,X0)),
inference(evaluation,[],[f164]) ).
tff(f164,plain,
! [X0: $int] : $less(X0,$sum(6,$sum(X0,1))),
inference(resolution,[],[f156,f85]) ).
tff(f156,plain,
! [X0: $int] : $less(X0,$sum(6,X0)),
inference(evaluation,[],[f149]) ).
tff(f149,plain,
! [X0: $int] : $less(X0,$sum(5,$sum(X0,1))),
inference(resolution,[],[f141,f85]) ).
tff(f141,plain,
! [X0: $int] : $less(X0,$sum(5,X0)),
inference(evaluation,[],[f134]) ).
tff(f134,plain,
! [X0: $int] : $less(X0,$sum(4,$sum(X0,1))),
inference(resolution,[],[f126,f85]) ).
tff(f126,plain,
! [X0: $int] : $less(X0,$sum(4,X0)),
inference(evaluation,[],[f119]) ).
tff(f119,plain,
! [X0: $int] : $less(X0,$sum(3,$sum(X0,1))),
inference(resolution,[],[f111,f85]) ).
tff(f111,plain,
! [X0: $int] : $less(X0,$sum(3,X0)),
inference(evaluation,[],[f104]) ).
tff(f104,plain,
! [X0: $int] : $less(X0,$sum(2,$sum(X0,1))),
inference(resolution,[],[f102,f85]) ).
tff(f102,plain,
! [X3: $int] : $less(X3,$sum(2,X3)),
inference(evaluation,[],[f94]) ).
tff(f94,plain,
! [X3: $int] : $less(X3,$sum(1,$sum(X3,1))),
inference(resolution,[],[f85,f35]) ).
tff(f35,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f30,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_138,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI545_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 30 18:18:06 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.42 % (7714)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (7750)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.21/0.42 % (7749)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.21/0.42 % (7751)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on Vampire---4 for (476ds/0Mi)
% 0.21/0.42 % (7752)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.42 % (7753)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.21/0.42 % (7749)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.42 % (7750)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.42 % (7750)Terminated due to inappropriate strategy.
% 0.21/0.42 % (7750)------------------------------
% 0.21/0.42 % (7750)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (7750)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (7750)Termination reason: Inappropriate
% 0.21/0.42
% 0.21/0.42 % (7750)Memory used [KB]: 767
% 0.21/0.42 % (7750)Time elapsed: 0.002 s
% 0.21/0.42 % (7750)------------------------------
% 0.21/0.42 % (7750)------------------------------
% 0.21/0.42 % (7755)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.21/0.42 % (7749)Terminated due to inappropriate strategy.
% 0.21/0.42 % (7749)------------------------------
% 0.21/0.42 % (7749)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (7749)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (7749)Termination reason: Inappropriate
% 0.21/0.42
% 0.21/0.42 % (7749)Memory used [KB]: 767
% 0.21/0.42 % (7749)Time elapsed: 0.002 s
% 0.21/0.42 % (7749)------------------------------
% 0.21/0.42 % (7749)------------------------------
% 0.21/0.42 % (7752)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.42 % (7754)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.21/0.42 % (7752)Terminated due to inappropriate strategy.
% 0.21/0.42 % (7752)------------------------------
% 0.21/0.42 % (7752)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (7752)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (7752)Termination reason: Inappropriate
% 0.21/0.42
% 0.21/0.42 % (7752)Memory used [KB]: 767
% 0.21/0.42 % (7752)Time elapsed: 0.002 s
% 0.21/0.42 % (7752)------------------------------
% 0.21/0.42 % (7752)------------------------------
% 0.21/0.42 % (7755)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.42 % (7755)Terminated due to inappropriate strategy.
% 0.21/0.42 % (7755)------------------------------
% 0.21/0.42 % (7755)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (7755)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (7755)Termination reason: Inappropriate
% 0.21/0.42
% 0.21/0.42 % (7755)Memory used [KB]: 767
% 0.21/0.42 % (7755)Time elapsed: 0.002 s
% 0.21/0.42 % (7755)------------------------------
% 0.21/0.42 % (7755)------------------------------
% 0.21/0.43 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.21/0.43 % (7759)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_569 on Vampire---4 for (569ds/0Mi)
% 0.21/0.43 % (7760)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_476 on Vampire---4 for (476ds/0Mi)
% 0.21/0.43 % (7759)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.43 % (7759)Terminated due to inappropriate strategy.
% 0.21/0.43 % (7759)------------------------------
% 0.21/0.43 % (7759)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (7759)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (7759)Termination reason: Inappropriate
% 0.21/0.43
% 0.21/0.43 % (7759)Memory used [KB]: 767
% 0.21/0.43 % (7759)Time elapsed: 0.003 s
% 0.21/0.43 % (7759)------------------------------
% 0.21/0.43 % (7759)------------------------------
% 0.21/0.43 % (7761)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.43 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.21/0.43 % (7761)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.43 % (7761)Terminated due to inappropriate strategy.
% 0.21/0.43 % (7761)------------------------------
% 0.21/0.43 % (7761)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (7761)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (7761)Termination reason: Inappropriate
% 0.21/0.43
% 0.21/0.43 % (7761)Memory used [KB]: 767
% 0.21/0.43 % (7761)Time elapsed: 0.002 s
% 0.21/0.43 % (7761)------------------------------
% 0.21/0.43 % (7761)------------------------------
% 0.21/0.43 % (7762)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_396 on Vampire---4 for (396ds/0Mi)
% 0.21/0.43 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.21/0.43 % (7765)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on Vampire---4 for (216ds/0Mi)
% 0.21/0.43 % (7767)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_2902 on Vampire---4 for (2902ds/0Mi)
% 0.21/0.43 % (7767)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.43 % (7767)Terminated due to inappropriate strategy.
% 0.21/0.43 % (7767)------------------------------
% 0.21/0.43 % (7767)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (7767)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (7767)Termination reason: Inappropriate
% 0.21/0.43
% 0.21/0.43 % (7767)Memory used [KB]: 767
% 0.21/0.43 % (7767)Time elapsed: 0.003 s
% 0.21/0.43 % (7767)------------------------------
% 0.21/0.43 % (7767)------------------------------
% 0.21/0.44 % (7770)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_1138 on Vampire---4 for (1138ds/0Mi)
% 0.21/0.44 % (7770)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.44 % (7770)Terminated due to inappropriate strategy.
% 0.21/0.44 % (7770)------------------------------
% 0.21/0.44 % (7770)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44 % (7770)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44 % (7770)Termination reason: Inappropriate
% 0.21/0.44
% 0.21/0.44 % (7770)Memory used [KB]: 767
% 0.21/0.44 % (7770)Time elapsed: 0.002 s
% 0.21/0.44 % (7770)------------------------------
% 0.21/0.44 % (7770)------------------------------
% 0.21/0.44 % (7775)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_952 on Vampire---4 for (952ds/0Mi)
% 0.21/0.46 % (7753)First to succeed.
% 0.21/0.46 % (7753)Refutation found. Thanks to Tanya!
% 0.21/0.46 % SZS status Theorem for Vampire---4
% 0.21/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.46 % (7753)------------------------------
% 0.21/0.46 % (7753)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.46 % (7753)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.46 % (7753)Termination reason: Refutation
% 0.21/0.46
% 0.21/0.46 % (7753)Memory used [KB]: 1791
% 0.21/0.46 % (7753)Time elapsed: 0.040 s
% 0.21/0.46 % (7753)------------------------------
% 0.21/0.46 % (7753)------------------------------
% 0.21/0.46 % (7714)Success in time 0.094 s
% 0.21/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------