TSTP Solution File: FLD071-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD071-2 : 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 : n006.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 11:06:37 EDT 2024
% Result : Unsatisfiable 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 15
% Syntax : Number of formulae : 37 ( 9 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 76 ( 35 ~; 36 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2969,plain,
$false,
inference(avatar_sat_refutation,[],[f133,f2656,f2676,f2892,f2963,f2968]) ).
fof(f2968,plain,
spl0_36,
inference(avatar_contradiction_clause,[],[f2964]) ).
fof(f2964,plain,
( $false
| spl0_36 ),
inference(resolution,[],[f2891,f31]) ).
fof(f31,axiom,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4) ).
fof(f2891,plain,
( ~ less_or_equal(additive_identity,a)
| spl0_36 ),
inference(avatar_component_clause,[],[f2889]) ).
fof(f2889,plain,
( spl0_36
<=> less_or_equal(additive_identity,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f2963,plain,
spl0_35,
inference(avatar_contradiction_clause,[],[f2959]) ).
fof(f2959,plain,
( $false
| spl0_35 ),
inference(resolution,[],[f2887,f32]) ).
fof(f32,axiom,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_5) ).
fof(f2887,plain,
( ~ less_or_equal(additive_identity,b)
| spl0_35 ),
inference(avatar_component_clause,[],[f2885]) ).
fof(f2885,plain,
( spl0_35
<=> less_or_equal(additive_identity,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f2892,plain,
( ~ spl0_35
| ~ spl0_36
| spl0_34 ),
inference(avatar_split_clause,[],[f2814,f2653,f2889,f2885]) ).
fof(f2653,plain,
( spl0_34
<=> less_or_equal(additive_identity,multiply(a,b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f2814,plain,
( ~ less_or_equal(additive_identity,a)
| ~ less_or_equal(additive_identity,b)
| spl0_34 ),
inference(resolution,[],[f2655,f20]) ).
fof(f20,axiom,
! [X2,X1] :
( less_or_equal(additive_identity,multiply(X1,X2))
| ~ less_or_equal(additive_identity,X1)
| ~ less_or_equal(additive_identity,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_multiplication) ).
fof(f2655,plain,
( ~ less_or_equal(additive_identity,multiply(a,b))
| spl0_34 ),
inference(avatar_component_clause,[],[f2653]) ).
fof(f2676,plain,
( spl0_33
| ~ spl0_7
| spl0_33 ),
inference(avatar_split_clause,[],[f2662,f2649,f126,f2649]) ).
fof(f126,plain,
( spl0_7
<=> defined(u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f2649,plain,
( spl0_33
<=> less_or_equal(u,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f2662,plain,
( ~ defined(u)
| less_or_equal(u,u)
| spl0_33 ),
inference(duplicate_literal_removal,[],[f2659]) ).
fof(f2659,plain,
( ~ defined(u)
| ~ defined(u)
| less_or_equal(u,u)
| spl0_33 ),
inference(resolution,[],[f2651,f18]) ).
fof(f18,axiom,
! [X0,X1] :
( less_or_equal(X1,X0)
| ~ defined(X0)
| ~ defined(X1)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_order_relation) ).
fof(f2651,plain,
( ~ less_or_equal(u,u)
| spl0_33 ),
inference(avatar_component_clause,[],[f2649]) ).
fof(f2656,plain,
( ~ spl0_33
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f2499,f2653,f2649]) ).
fof(f2499,plain,
( ~ less_or_equal(additive_identity,multiply(a,b))
| ~ less_or_equal(u,u) ),
inference(resolution,[],[f445,f33]) ).
fof(f33,axiom,
equalish(multiply(a,b),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_u_6) ).
fof(f445,plain,
! [X0,X1] :
( ~ less_or_equal(additive_identity,X0)
| ~ less_or_equal(X1,u)
| ~ equalish(X0,X1) ),
inference(resolution,[],[f83,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f83,plain,
! [X0,X1] :
( ~ less_or_equal(additive_identity,X0)
| ~ equalish(X1,X0)
| ~ less_or_equal(X1,u) ),
inference(resolution,[],[f42,f26]) ).
fof(f26,axiom,
! [X2,X0,X1] :
( less_or_equal(X1,X2)
| ~ equalish(X0,X1)
| ~ less_or_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_order_relation) ).
fof(f42,plain,
! [X0] :
( ~ less_or_equal(additive_identity,X0)
| ~ less_or_equal(X0,u) ),
inference(resolution,[],[f17,f34]) ).
fof(f34,axiom,
~ less_or_equal(additive_identity,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_7) ).
fof(f17,axiom,
! [X2,X0,X1] :
( less_or_equal(X0,X2)
| ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_order_relation) ).
fof(f133,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f132]) ).
fof(f132,plain,
( $false
| spl0_7 ),
inference(resolution,[],[f128,f30]) ).
fof(f30,axiom,
defined(u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_is_defined) ).
fof(f128,plain,
( ~ defined(u)
| spl0_7 ),
inference(avatar_component_clause,[],[f126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD071-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 03:19:05 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (1061)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (1062)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (1064)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)
% 0.15/0.37 % (1063)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (1065)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (1066)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (1067)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (1068)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)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.15/0.40 TRYING [4]
% 0.22/0.42 TRYING [5]
% 0.22/0.43 TRYING [5]
% 0.22/0.43 TRYING [5]
% 0.22/0.45 TRYING [5]
% 0.22/0.45 % (1064)First to succeed.
% 0.22/0.45 % (1064)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.45 % (1064)------------------------------
% 0.22/0.45 % (1064)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.45 % (1064)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (1064)Memory used [KB]: 1694
% 0.22/0.45 % (1064)Time elapsed: 0.076 s
% 0.22/0.45 % (1064)Instructions burned: 156 (million)
% 0.22/0.45 % (1064)------------------------------
% 0.22/0.45 % (1064)------------------------------
% 0.22/0.45 % (1061)Success in time 0.093 s
%------------------------------------------------------------------------------