TSTP Solution File: NUM024-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM024-1 : TPTP v8.2.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 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 : Tue May 21 01:47:50 EDT 2024
% Result : Unsatisfiable 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f844,plain,
$false,
inference(subsumption_resolution,[],[f842,f16]) ).
fof(f16,axiom,
! [X0] : ~ equalish(successor(X0),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_contradiction) ).
fof(f842,plain,
equalish(successor(predecessor_of_1st_minus_2nd(a,a)),n0),
inference(resolution,[],[f287,f293]) ).
fof(f293,plain,
equalish(add(successor(predecessor_of_1st_minus_2nd(a,a)),a),a),
inference(resolution,[],[f165,f10]) ).
fof(f10,axiom,
! [X3] : equalish(X3,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f165,plain,
! [X0] :
( ~ equalish(X0,add(successor(predecessor_of_1st_minus_2nd(a,a)),a))
| equalish(X0,a) ),
inference(resolution,[],[f58,f15]) ).
fof(f15,axiom,
less(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',impossible_a_is_less_than_itself) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ less(X0,X1)
| ~ equalish(X2,add(successor(predecessor_of_1st_minus_2nd(X1,X0)),X0))
| equalish(X2,X1) ),
inference(resolution,[],[f9,f12]) ).
fof(f12,axiom,
! [X3,X4,X5] :
( ~ equalish(X4,X5)
| ~ equalish(X3,X4)
| equalish(X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(f9,axiom,
! [X0,X1] :
( equalish(add(successor(predecessor_of_1st_minus_2nd(X1,X0)),X0),X1)
| ~ less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_lemma) ).
fof(f287,plain,
! [X0,X1] :
( ~ equalish(add(X0,X1),X1)
| equalish(X0,n0) ),
inference(resolution,[],[f179,f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ equalish(add(X0,X1),add(X2,X1))
| equalish(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus_substitution) ).
fof(f179,plain,
! [X0,X1] :
( equalish(X0,add(n0,X1))
| ~ equalish(X0,X1) ),
inference(resolution,[],[f39,f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ equalish(X0,add(X1,X2))
| equalish(X0,add(X2,X1)) ),
inference(resolution,[],[f12,f14]) ).
fof(f14,axiom,
! [X0,X1] : equalish(add(X0,X1),add(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_plus) ).
fof(f39,plain,
! [X0,X1] :
( equalish(X0,add(X1,n0))
| ~ equalish(X0,X1) ),
inference(resolution,[],[f12,f18]) ).
fof(f18,plain,
! [X0] : equalish(X0,add(X0,n0)),
inference(resolution,[],[f11,f1]) ).
fof(f1,axiom,
! [X0] : equalish(add(X0,n0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',adding_zero) ).
fof(f11,axiom,
! [X3,X4] :
( ~ equalish(X3,X4)
| equalish(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM024-1 : TPTP v8.2.0. Bugfixed v4.0.0.
% 0.12/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 05:18:37 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (13545)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (13552)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 % (13547)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (13549)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36 % (13550)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36 % (13551)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36 TRYING [2]
% 0.13/0.36 % (13548)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 theBenchmark for (476ds/0Mi)
% 0.13/0.36 TRYING [3]
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 % (13546)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 TRYING [4]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [4]
% 0.13/0.37 TRYING [4]
% 0.13/0.38 TRYING [5]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [5]
% 0.13/0.38 TRYING [5]
% 0.13/0.39 % (13551)First to succeed.
% 0.13/0.39 % (13551)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13545"
% 0.13/0.39 % (13551)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (13551)------------------------------
% 0.13/0.39 % (13551)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39 % (13551)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (13551)Memory used [KB]: 962
% 0.13/0.39 % (13551)Time elapsed: 0.025 s
% 0.13/0.39 % (13551)Instructions burned: 42 (million)
% 0.13/0.39 % (13545)Success in time 0.042 s
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