TSTP Solution File: FLD023-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD023-1 : 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 : n010.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 11:06:18 EDT 2024
% Result : Unsatisfiable 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 30 ( 7 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 63 ( 32 ~; 27 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2215,plain,
$false,
inference(avatar_sat_refutation,[],[f439,f525,f577,f2197,f2214]) ).
fof(f2214,plain,
spl0_42,
inference(avatar_contradiction_clause,[],[f2202]) ).
fof(f2202,plain,
( $false
| spl0_42 ),
inference(resolution,[],[f2196,f30]) ).
fof(f30,axiom,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b_3) ).
fof(f2196,plain,
( ~ equalish(a,b)
| spl0_42 ),
inference(avatar_component_clause,[],[f2194]) ).
fof(f2194,plain,
( spl0_42
<=> equalish(a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f2197,plain,
( ~ spl0_20
| ~ spl0_42
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f2179,f523,f2194,f568]) ).
fof(f568,plain,
( spl0_20
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f523,plain,
( spl0_16
<=> ! [X0] :
( ~ equalish(additive_identity,add(X0,additive_inverse(a)))
| ~ equalish(X0,b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f2179,plain,
( ~ equalish(a,b)
| ~ defined(a)
| ~ spl0_16 ),
inference(resolution,[],[f539,f3]) ).
fof(f3,axiom,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f539,plain,
( ! [X0] :
( ~ equalish(add(X0,additive_inverse(a)),additive_identity)
| ~ equalish(X0,b) )
| ~ spl0_16 ),
inference(resolution,[],[f524,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f524,plain,
( ! [X0] :
( ~ equalish(additive_identity,add(X0,additive_inverse(a)))
| ~ equalish(X0,b) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f577,plain,
spl0_20,
inference(avatar_contradiction_clause,[],[f576]) ).
fof(f576,plain,
( $false
| spl0_20 ),
inference(resolution,[],[f570,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f570,plain,
( ~ defined(a)
| spl0_20 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f525,plain,
( ~ spl0_14
| spl0_16 ),
inference(avatar_split_clause,[],[f133,f523,f427]) ).
fof(f427,plain,
( spl0_14
<=> defined(additive_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f133,plain,
! [X0] :
( ~ equalish(additive_identity,add(X0,additive_inverse(a)))
| ~ equalish(X0,b)
| ~ defined(additive_inverse(a)) ),
inference(resolution,[],[f41,f24]) ).
fof(f24,axiom,
! [X2,X0,X1] :
( equalish(add(X0,X2),add(X1,X2))
| ~ equalish(X0,X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).
fof(f41,plain,
! [X0] :
( ~ equalish(X0,add(b,additive_inverse(a)))
| ~ equalish(additive_identity,X0) ),
inference(resolution,[],[f23,f31]) ).
fof(f31,axiom,
~ equalish(additive_identity,add(b,additive_inverse(a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity_not_equal_to_add_4) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X0,X1)
| ~ equalish(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f439,plain,
spl0_14,
inference(avatar_contradiction_clause,[],[f438]) ).
fof(f438,plain,
( $false
| spl0_14 ),
inference(resolution,[],[f437,f28]) ).
fof(f437,plain,
( ~ defined(a)
| spl0_14 ),
inference(resolution,[],[f429,f12]) ).
fof(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f429,plain,
( ~ defined(additive_inverse(a))
| spl0_14 ),
inference(avatar_component_clause,[],[f427]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : FLD023-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n010.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 03:10:05 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (31352)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33 % (31357)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.33 % (31359)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)
% 0.15/0.33 % (31358)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.33 % (31356)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.33 % (31353)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.33 % (31355)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)
% 0.15/0.33 % (31354)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [3]
% 0.15/0.34 TRYING [4]
% 0.15/0.34 TRYING [4]
% 0.15/0.34 TRYING [4]
% 0.15/0.35 TRYING [4]
% 0.15/0.38 % (31355)First to succeed.
% 0.15/0.38 TRYING [5]
% 0.15/0.38 TRYING [5]
% 0.15/0.38 TRYING [5]
% 0.15/0.38 % (31355)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (31355)------------------------------
% 0.15/0.38 % (31355)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (31355)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (31355)Memory used [KB]: 1442
% 0.15/0.38 % (31355)Time elapsed: 0.052 s
% 0.15/0.38 % (31355)Instructions burned: 112 (million)
% 0.15/0.38 % (31355)------------------------------
% 0.15/0.38 % (31355)------------------------------
% 0.15/0.38 % (31352)Success in time 0.064 s
%------------------------------------------------------------------------------