TSTP Solution File: NUM020-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM020-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 Apr 30 14:12:43 EDT 2024
% Result : Unsatisfiable 0.11s 0.35s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f83,plain,
$false,
inference(resolution,[],[f79,f1]) ).
fof(f1,axiom,
! [X0] : equalish(add(X0,n0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',adding_zero) ).
fof(f79,plain,
~ equalish(add(a,n0),a),
inference(resolution,[],[f42,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( equalish(successor(X0),successor(X1))
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_substitution) ).
fof(f42,plain,
~ equalish(successor(add(a,n0)),successor(a)),
inference(resolution,[],[f27,f2]) ).
fof(f2,axiom,
! [X0,X1] : equalish(add(X0,successor(X1)),successor(add(X0,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition) ).
fof(f27,plain,
! [X0] :
( ~ equalish(add(a,successor(n0)),X0)
| ~ equalish(X0,successor(a)) ),
inference(resolution,[],[f9,f11]) ).
fof(f11,axiom,
~ equalish(add(a,successor(n0)),successor(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deny_addition_lemma) ).
fof(f9,axiom,
! [X2,X3,X4] :
( equalish(X2,X4)
| ~ equalish(X3,X4)
| ~ equalish(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : NUM020-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.09/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n011.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 00:09:01 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (21316)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (21323)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)
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 % (21319)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)
% 0.11/0.35 TRYING [4]
% 0.11/0.35 % (21319)First to succeed.
% 0.11/0.35 % (21319)Refutation found. Thanks to Tanya!
% 0.11/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.35 % (21319)------------------------------
% 0.11/0.35 % (21319)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.35 % (21319)Termination reason: Refutation
% 0.11/0.35
% 0.11/0.35 % (21319)Memory used [KB]: 773
% 0.11/0.35 % (21319)Time elapsed: 0.004 s
% 0.11/0.35 % (21319)Instructions burned: 4 (million)
% 0.11/0.35 % (21319)------------------------------
% 0.11/0.35 % (21319)------------------------------
% 0.11/0.35 % (21316)Success in time 0.019 s
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