TSTP Solution File: FLD070-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD070-2 : 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 : n021.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 : Sun May 5 05:08:10 EDT 2024
% Result : Unsatisfiable 1.49s 0.57s
% Output : Refutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 20
% Syntax : Number of formulae : 61 ( 16 unt; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 111 ( 51 ~; 55 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10450,plain,
$false,
inference(avatar_sat_refutation,[],[f6795,f7296,f8975,f8976,f8998,f10449]) ).
fof(f10449,plain,
spl0_107,
inference(avatar_contradiction_clause,[],[f10448]) ).
fof(f10448,plain,
( $false
| spl0_107 ),
inference(subsumption_resolution,[],[f10440,f32]) ).
fof(f32,axiom,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_5) ).
fof(f10440,plain,
( ~ less_or_equal(additive_identity,a)
| spl0_107 ),
inference(resolution,[],[f2133,f1124]) ).
fof(f1124,plain,
( ~ less_or_equal(b,add(a,b))
| spl0_107 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f1123,plain,
( spl0_107
<=> less_or_equal(b,add(a,b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f2133,plain,
! [X0] :
( less_or_equal(b,add(X0,b))
| ~ less_or_equal(additive_identity,X0) ),
inference(subsumption_resolution,[],[f2115,f29]) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f2115,plain,
! [X0] :
( ~ less_or_equal(additive_identity,X0)
| less_or_equal(b,add(X0,b))
| ~ defined(b) ),
inference(resolution,[],[f504,f2]) ).
fof(f2,axiom,
! [X0] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f504,plain,
! [X2,X0,X1] :
( ~ equalish(add(X0,b),X2)
| ~ less_or_equal(X0,X1)
| less_or_equal(X2,add(X1,b)) ),
inference(resolution,[],[f159,f29]) ).
fof(f159,plain,
! [X2,X3,X0,X1] :
( ~ defined(X2)
| ~ less_or_equal(X0,X1)
| ~ equalish(add(X0,X2),X3)
| less_or_equal(X3,add(X1,X2)) ),
inference(resolution,[],[f19,f26]) ).
fof(f26,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X0,X2)
| ~ equalish(X0,X1)
| less_or_equal(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_order_relation) ).
fof(f19,axiom,
! [X2,X0,X1] :
( less_or_equal(add(X0,X2),add(X1,X2))
| ~ less_or_equal(X0,X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
fof(f8998,plain,
( spl0_54
| ~ spl0_307 ),
inference(avatar_contradiction_clause,[],[f8997]) ).
fof(f8997,plain,
( $false
| spl0_54
| ~ spl0_307 ),
inference(subsumption_resolution,[],[f8992,f725]) ).
fof(f725,plain,
( ~ equalish(c,additive_identity)
| spl0_54 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f724,plain,
( spl0_54
<=> equalish(c,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f8992,plain,
( equalish(c,additive_identity)
| ~ spl0_307 ),
inference(resolution,[],[f3122,f76]) ).
fof(f76,plain,
! [X0] :
( ~ equalish(add(a,b),X0)
| equalish(c,X0) ),
inference(resolution,[],[f23,f35]) ).
fof(f35,plain,
equalish(c,add(a,b)),
inference(resolution,[],[f22,f31]) ).
fof(f31,axiom,
equalish(add(a,b),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_equals_c_4) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f3122,plain,
( equalish(add(a,b),additive_identity)
| ~ spl0_307 ),
inference(avatar_component_clause,[],[f3120]) ).
fof(f3120,plain,
( spl0_307
<=> equalish(add(a,b),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f8976,plain,
( spl0_307
| ~ spl0_101
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f6807,f1100,f1096,f3120]) ).
fof(f1096,plain,
( spl0_101
<=> less_or_equal(additive_identity,add(a,b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f1100,plain,
( spl0_102
<=> less_or_equal(add(a,b),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f6807,plain,
( ~ less_or_equal(additive_identity,add(a,b))
| equalish(add(a,b),additive_identity)
| ~ spl0_102 ),
inference(resolution,[],[f1102,f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_of_order_relation) ).
fof(f1102,plain,
( less_or_equal(add(a,b),additive_identity)
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f8975,plain,
( spl0_101
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f6929,f1123,f1096]) ).
fof(f6929,plain,
( less_or_equal(additive_identity,add(a,b))
| ~ spl0_107 ),
inference(resolution,[],[f1125,f66]) ).
fof(f66,plain,
! [X0] :
( ~ less_or_equal(b,X0)
| less_or_equal(additive_identity,X0) ),
inference(resolution,[],[f17,f33]) ).
fof(f33,axiom,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_6) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X2)
| less_or_equal(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_order_relation) ).
fof(f1125,plain,
( less_or_equal(b,add(a,b))
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f7296,plain,
~ spl0_54,
inference(avatar_contradiction_clause,[],[f7295]) ).
fof(f7295,plain,
( $false
| ~ spl0_54 ),
inference(subsumption_resolution,[],[f7281,f34]) ).
fof(f34,axiom,
~ less_or_equal(additive_identity,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_7) ).
fof(f7281,plain,
( less_or_equal(additive_identity,c)
| ~ spl0_54 ),
inference(resolution,[],[f374,f726]) ).
fof(f726,plain,
( equalish(c,additive_identity)
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f374,plain,
! [X0] :
( ~ equalish(c,X0)
| less_or_equal(X0,c) ),
inference(resolution,[],[f243,f26]) ).
fof(f243,plain,
less_or_equal(c,c),
inference(duplicate_literal_removal,[],[f242]) ).
fof(f242,plain,
( less_or_equal(c,c)
| less_or_equal(c,c) ),
inference(resolution,[],[f91,f30]) ).
fof(f30,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f91,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(X0,c)
| less_or_equal(c,X0) ),
inference(resolution,[],[f18,f30]) ).
fof(f18,axiom,
! [X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| less_or_equal(X1,X0)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality_of_order_relation) ).
fof(f6795,plain,
spl0_102,
inference(avatar_split_clause,[],[f6794,f1100]) ).
fof(f6794,plain,
less_or_equal(add(a,b),additive_identity),
inference(subsumption_resolution,[],[f6780,f377]) ).
fof(f377,plain,
equalish(c,c),
inference(subsumption_resolution,[],[f376,f243]) ).
fof(f376,plain,
( ~ less_or_equal(c,c)
| equalish(c,c) ),
inference(resolution,[],[f243,f16]) ).
fof(f6780,plain,
( less_or_equal(add(a,b),additive_identity)
| ~ equalish(c,c) ),
inference(resolution,[],[f255,f100]) ).
fof(f100,plain,
! [X0] :
( equalish(X0,add(a,b))
| ~ equalish(c,X0) ),
inference(resolution,[],[f71,f22]) ).
fof(f71,plain,
! [X0] :
( equalish(add(a,b),X0)
| ~ equalish(c,X0) ),
inference(resolution,[],[f23,f31]) ).
fof(f255,plain,
! [X0] :
( ~ equalish(c,X0)
| less_or_equal(X0,additive_identity) ),
inference(resolution,[],[f244,f26]) ).
fof(f244,plain,
less_or_equal(c,additive_identity),
inference(subsumption_resolution,[],[f236,f34]) ).
fof(f236,plain,
( less_or_equal(additive_identity,c)
| less_or_equal(c,additive_identity) ),
inference(resolution,[],[f91,f11]) ).
fof(f11,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : FLD070-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 19:46:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (8605)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (8610)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38 % (8609)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38 % (8607)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (8608)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)
% 0.22/0.38 % (8611)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 % (8612)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)
% 0.22/0.38 % (8606)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [3]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.43 TRYING [5]
% 0.22/0.43 TRYING [5]
% 0.22/0.44 TRYING [5]
% 0.22/0.45 TRYING [5]
% 0.22/0.50 TRYING [6]
% 0.22/0.50 TRYING [6]
% 0.22/0.51 TRYING [6]
% 0.22/0.53 TRYING [6]
% 1.49/0.57 % (8611)First to succeed.
% 1.49/0.57 % (8611)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8605"
% 1.49/0.57 % (8611)Refutation found. Thanks to Tanya!
% 1.49/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.49/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.57 % (8611)------------------------------
% 1.49/0.57 % (8611)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.49/0.57 % (8611)Termination reason: Refutation
% 1.49/0.57
% 1.49/0.57 % (8611)Memory used [KB]: 4500
% 1.49/0.57 % (8611)Time elapsed: 0.194 s
% 1.49/0.57 % (8611)Instructions burned: 481 (million)
% 1.49/0.57 % (8605)Success in time 0.197 s
%------------------------------------------------------------------------------