TSTP Solution File: FLD055-3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD055-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 Apr 30 11:06:30 EDT 2024
% Result : Unsatisfiable 0.13s 0.40s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 14 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1045,plain,
$false,
inference(subsumption_resolution,[],[f1040,f32]) ).
fof(f32,axiom,
~ less_or_equal(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_6) ).
fof(f1040,plain,
less_or_equal(a,c),
inference(resolution,[],[f294,f145]) ).
fof(f145,plain,
sum(a,additive_identity,a),
inference(resolution,[],[f100,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f100,plain,
sum(additive_identity,a,a),
inference(subsumption_resolution,[],[f98,f73]) ).
fof(f73,plain,
less_or_equal(a,a),
inference(duplicate_literal_removal,[],[f70]) ).
fof(f70,plain,
( less_or_equal(a,a)
| less_or_equal(a,a) ),
inference(resolution,[],[f61,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f61,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(X0,a)
| less_or_equal(a,X0) ),
inference(resolution,[],[f23,f27]) ).
fof(f23,axiom,
! [X3,X0] :
( ~ defined(X0)
| ~ defined(X3)
| less_or_equal(X3,X0)
| less_or_equal(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_order_relation) ).
fof(f98,plain,
( ~ less_or_equal(a,a)
| sum(additive_identity,a,a) ),
inference(resolution,[],[f73,f21]) ).
fof(f21,axiom,
! [X3,X0] :
( ~ less_or_equal(X0,X3)
| ~ less_or_equal(X3,X0)
| sum(additive_identity,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_of_order_relation) ).
fof(f294,plain,
! [X0] :
( ~ sum(a,additive_identity,X0)
| less_or_equal(X0,c) ),
inference(resolution,[],[f95,f33]) ).
fof(f33,plain,
sum(b,additive_identity,c),
inference(resolution,[],[f5,f31]) ).
fof(f31,axiom,
sum(additive_identity,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_5) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ sum(b,X2,X1)
| less_or_equal(X0,X1)
| ~ sum(a,X2,X0) ),
inference(resolution,[],[f24,f30]) ).
fof(f30,axiom,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4) ).
fof(f24,axiom,
! [X3,X0,X1,X4,X5] :
( ~ less_or_equal(X0,X3)
| less_or_equal(X4,X1)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD055-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36 % Computer : n022.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Apr 30 03:15:13 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (9726)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (9732)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.38 % (9728)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % (9730)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.38 % (9731)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.38 % (9733)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)
% 0.13/0.38 % (9729)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)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 % (9727)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [3]
% 0.13/0.39 TRYING [4]
% 0.13/0.39 TRYING [4]
% 0.13/0.39 TRYING [4]
% 0.13/0.40 TRYING [4]
% 0.13/0.40 % (9732)First to succeed.
% 0.13/0.40 % (9732)Refutation found. Thanks to Tanya!
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.40 % (9732)------------------------------
% 0.13/0.40 % (9732)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.40 % (9732)Termination reason: Refutation
% 0.13/0.40
% 0.13/0.40 % (9732)Memory used [KB]: 1127
% 0.13/0.40 % (9732)Time elapsed: 0.023 s
% 0.13/0.40 % (9732)Instructions burned: 44 (million)
% 0.13/0.40 % (9732)------------------------------
% 0.13/0.40 % (9732)------------------------------
% 0.13/0.40 % (9726)Success in time 0.038 s
%------------------------------------------------------------------------------