TSTP Solution File: NUM027-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM027-1 : 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 : n012.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 14:12:44 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 22 ~; 17 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f331,plain,
$false,
inference(avatar_sat_refutation,[],[f104,f314,f325,f330]) ).
fof(f330,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f326]) ).
fof(f326,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f99,f82]) ).
fof(f82,plain,
~ equalish(b,a),
inference(resolution,[],[f13,f26]) ).
fof(f26,plain,
~ equalish(multiply(b,c),multiply(a,c)),
inference(resolution,[],[f20,f14]) ).
fof(f14,axiom,
! [X0,X1] :
( ~ less(X0,X1)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_and_equal) ).
fof(f20,axiom,
less(multiply(b,c),multiply(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_c_less_than_a_times_c) ).
fof(f13,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,X2),multiply(X1,X2))
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality_preserved_over_times) ).
fof(f99,plain,
( equalish(b,a)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl0_1
<=> equalish(b,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f325,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f320,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f313,f21]) ).
fof(f21,axiom,
~ equalish(c,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_is_0) ).
fof(f313,plain,
( equalish(c,n0)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f311,plain,
( spl0_3
<=> equalish(c,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f314,plain,
( ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f265,f311,f101]) ).
fof(f101,plain,
( spl0_2
<=> less(a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f265,plain,
( equalish(c,n0)
| ~ less(a,b) ),
inference(resolution,[],[f40,f18]) ).
fof(f18,axiom,
! [X2,X0,X1] :
( less(multiply(X0,X2),multiply(X1,X2))
| equalish(X2,n0)
| ~ less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_lemma) ).
fof(f40,plain,
~ less(multiply(a,c),multiply(b,c)),
inference(resolution,[],[f36,f20]) ).
fof(f36,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ less(X1,X0) ),
inference(resolution,[],[f7,f16]) ).
fof(f16,axiom,
! [X0] : ~ less(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',number_not_less_than_itself) ).
fof(f7,axiom,
! [X2,X0,X1] :
( less(X2,X1)
| ~ less(X2,X0)
| ~ less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less) ).
fof(f104,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f62,f101,f97]) ).
fof(f62,plain,
( less(a,b)
| equalish(b,a) ),
inference(resolution,[],[f15,f19]) ).
fof(f19,axiom,
~ less(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_less_than_a) ).
fof(f15,axiom,
! [X0,X1] :
( less(X1,X0)
| less(X0,X1)
| equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',numbers_either_less_or_equal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM027-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:30:42 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (6038)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (6043)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (6040)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (6039)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (6044)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (6042)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (6045)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)
% 0.14/0.37 % (6041)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.38 % (6041)First to succeed.
% 0.14/0.38 % (6041)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (6041)------------------------------
% 0.14/0.38 % (6041)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (6041)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (6041)Memory used [KB]: 901
% 0.14/0.38 % (6041)Time elapsed: 0.009 s
% 0.14/0.38 % (6041)Instructions burned: 10 (million)
% 0.14/0.38 % (6041)------------------------------
% 0.14/0.38 % (6041)------------------------------
% 0.14/0.38 % (6038)Success in time 0.025 s
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