TSTP Solution File: FLD017-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : FLD017-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 16:05:28 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 18 ~; 16 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f92,plain,
$false,
inference(avatar_sat_refutation,[],[f61,f72,f91]) ).
fof(f91,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f90]) ).
fof(f90,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f87,f36]) ).
fof(f36,plain,
equalish(x,a),
inference(resolution,[],[f32,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f32,axiom,
equalish(a,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_x_5) ).
fof(f87,plain,
( ~ equalish(x,a)
| ~ spl0_2 ),
inference(resolution,[],[f60,f34]) ).
fof(f34,axiom,
~ equalish(add(x,b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_not_equal_to_c_7) ).
fof(f60,plain,
( ! [X0] :
( equalish(add(X0,b),c)
| ~ equalish(X0,a) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl0_2
<=> ! [X0] :
( ~ equalish(X0,a)
| equalish(add(X0,b),c) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f72,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f71]) ).
fof(f71,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f57,f29]) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f57,plain,
( ~ defined(b)
| spl0_1 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl0_1
<=> defined(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f61,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f52,f59,f55]) ).
fof(f52,plain,
! [X0] :
( ~ equalish(X0,a)
| ~ defined(b)
| equalish(add(X0,b),c) ),
inference(resolution,[],[f37,f24]) ).
fof(f24,axiom,
! [X2,X0,X1] :
( equalish(add(X0,X2),add(X1,X2))
| ~ equalish(X0,X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).
fof(f37,plain,
! [X0] :
( ~ equalish(X0,add(a,b))
| equalish(X0,c) ),
inference(resolution,[],[f33,f23]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X1,X2)
| equalish(X0,X2)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f33,axiom,
equalish(add(a,b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_equals_c_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : FLD017-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 20:36:26 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48 % (1047)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.49 % (1031)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.49 % (1045)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.49 % (1045)First to succeed.
% 0.19/0.49 % (1045)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (1045)------------------------------
% 0.19/0.49 % (1045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (1045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (1045)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (1045)Memory used [KB]: 5884
% 0.19/0.49 % (1045)Time elapsed: 0.104 s
% 0.19/0.49 % (1045)Instructions burned: 2 (million)
% 0.19/0.49 % (1045)------------------------------
% 0.19/0.49 % (1045)------------------------------
% 0.19/0.49 % (999)Success in time 0.152 s
%------------------------------------------------------------------------------