TSTP Solution File: GEO051-3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO051-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 11:13:23 EDT 2024
% Result : Unsatisfiable 10.26s 1.82s
% Output : Refutation 10.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 34
% Syntax : Number of formulae : 146 ( 31 unt; 0 def)
% Number of atoms : 305 ( 77 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 288 ( 129 ~; 149 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 11 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 158 ( 158 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31993,plain,
$false,
inference(avatar_sat_refutation,[],[f3592,f6918,f11085,f29535,f29907,f31155,f31825,f31827,f31829,f31980]) ).
fof(f31980,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f31979]) ).
fof(f31979,plain,
( $false
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f31950,f82]) ).
fof(f82,axiom,
~ between(v,x,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_x_between_v_and_w) ).
fof(f31950,plain,
( between(v,x,w)
| ~ spl0_10 ),
inference(superposition,[],[f4,f31830]) ).
fof(f31830,plain,
( w = extension(v,x,x,w)
| ~ spl0_10 ),
inference(resolution,[],[f31153,f22399]) ).
fof(f22399,plain,
! [X0] :
( ~ between(u,x,X0)
| extension(v,x,x,X0) = X0 ),
inference(subsumption_resolution,[],[f22310,f639]) ).
fof(f639,plain,
u != x,
inference(resolution,[],[f637,f480]) ).
fof(f480,plain,
! [X2,X0,X1] :
( between(X2,X1,X0)
| X0 != X1 ),
inference(duplicate_literal_removal,[],[f477]) ).
fof(f477,plain,
! [X2,X0,X1] :
( X0 != X1
| between(X2,X1,X0)
| X0 != X1 ),
inference(superposition,[],[f454,f104]) ).
fof(f104,plain,
! [X0,X1] :
( reflection(X0,X1) = X1
| X0 != X1 ),
inference(superposition,[],[f36,f44]) ).
fof(f44,axiom,
! [X3,X10] : reflection(reflection(X10,X3),X3) = X10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r6) ).
fof(f36,axiom,
! [X3,X10] :
( reflection(X10,X3) != X3
| X3 = X10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r4) ).
fof(f454,plain,
! [X2,X0,X1] :
( reflection(X0,X1) != X0
| between(X2,X1,X0) ),
inference(inner_rewriting,[],[f446]) ).
fof(f446,plain,
! [X2,X0,X1] :
( reflection(X0,X1) != X0
| between(X2,X1,reflection(X0,X1)) ),
inference(resolution,[],[f181,f85]) ).
fof(f85,plain,
! [X3,X10,X5] :
( ~ between(X10,X5,X10)
| between(X3,X5,X10) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,axiom,
! [X3,X10,X0,X5] :
( X0 != X10
| ~ between(X10,X5,X0)
| between(X3,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b1) ).
fof(f181,plain,
! [X2,X0,X1] :
( between(reflection(X0,X1),X1,X2)
| X0 != X2 ),
inference(superposition,[],[f158,f44]) ).
fof(f158,plain,
! [X2,X0,X1] :
( reflection(X0,X1) != X2
| between(X0,X1,X2) ),
inference(forward_demodulation,[],[f147,f35]) ).
fof(f35,axiom,
! [X10] : reflection(X10,X10) = X10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r3_2) ).
fof(f147,plain,
! [X2,X0,X1] :
( between(X0,X1,reflection(X2,X2))
| reflection(X0,X1) != X2 ),
inference(superposition,[],[f32,f120]) ).
fof(f120,plain,
! [X0,X1] :
( reflection(X1,X1) = X0
| X0 != X1 ),
inference(superposition,[],[f44,f104]) ).
fof(f32,axiom,
! [X3,X10] : between(X10,X3,reflection(X10,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r2_1) ).
fof(f637,plain,
~ between(v,x,u),
inference(subsumption_resolution,[],[f633,f499]) ).
fof(f499,plain,
v != x,
inference(resolution,[],[f487,f82]) ).
fof(f487,plain,
! [X2,X0,X1] :
( between(X0,X1,X2)
| X0 != X1 ),
inference(resolution,[],[f480,f47]) ).
fof(f47,axiom,
! [X3,X10,X5] :
( ~ between(X10,X3,X5)
| between(X5,X3,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
fof(f633,plain,
( ~ between(v,x,u)
| v = x ),
inference(resolution,[],[f49,f106]) ).
fof(f106,plain,
between(x,v,u),
inference(resolution,[],[f47,f79]) ).
fof(f79,axiom,
between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_x) ).
fof(f49,axiom,
! [X3,X10,X5] :
( ~ between(X10,X3,X5)
| ~ between(X3,X10,X5)
| X3 = X10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b2) ).
fof(f22310,plain,
! [X0] :
( u = x
| ~ between(u,x,X0)
| extension(v,x,x,X0) = X0 ),
inference(resolution,[],[f3040,f1927]) ).
fof(f1927,plain,
! [X0,X1] : between(u,x,extension(v,x,X0,X1)),
inference(resolution,[],[f1921,f4]) ).
fof(f1921,plain,
! [X0] :
( ~ between(v,x,X0)
| between(u,x,X0) ),
inference(subsumption_resolution,[],[f1898,f499]) ).
fof(f1898,plain,
! [X0] :
( v = x
| ~ between(v,x,X0)
| between(u,x,X0) ),
inference(resolution,[],[f55,f79]) ).
fof(f55,axiom,
! [X3,X10,X0,X5] :
( ~ between(X10,X3,X5)
| X3 = X5
| ~ between(X3,X5,X0)
| between(X10,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b6) ).
fof(f3040,plain,
! [X2,X3,X0,X1] :
( ~ between(X1,X0,extension(X2,X0,X0,X3))
| X0 = X1
| ~ between(X1,X0,X3)
| extension(X2,X0,X0,X3) = X3 ),
inference(resolution,[],[f39,f5]) ).
fof(f5,axiom,
! [X3,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).
fof(f39,axiom,
! [X3,X10,X0,X5] :
( ~ equidistant(X3,X5,X3,X0)
| X3 = X10
| ~ between(X10,X3,X5)
| ~ between(X10,X3,X0)
| X0 = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9) ).
fof(f31153,plain,
( between(u,x,w)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f31152]) ).
fof(f31152,plain,
( spl0_10
<=> between(u,x,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f4,axiom,
! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).
fof(f31829,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f31828]) ).
fof(f31828,plain,
( $false
| spl0_10 ),
inference(subsumption_resolution,[],[f31822,f81]) ).
fof(f81,axiom,
~ between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_not_between_v_and_x) ).
fof(f31822,plain,
( between(v,w,x)
| spl0_10 ),
inference(trivial_inequality_removal,[],[f31802]) ).
fof(f31802,plain,
( between(v,w,x)
| u != u
| spl0_10 ),
inference(resolution,[],[f31224,f927]) ).
fof(f927,plain,
! [X0] :
( between(X0,v,w)
| u != X0 ),
inference(resolution,[],[f921,f487]) ).
fof(f921,plain,
! [X0] :
( ~ between(u,X0,v)
| between(X0,v,w) ),
inference(resolution,[],[f54,f78]) ).
fof(f78,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f54,axiom,
! [X3,X10,X0,X5] :
( ~ between(X10,X5,X0)
| ~ between(X10,X3,X5)
| between(X3,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b5) ).
fof(f31224,plain,
( ! [X0] :
( ~ between(u,X0,w)
| between(X0,w,x) )
| spl0_10 ),
inference(resolution,[],[f31217,f54]) ).
fof(f31217,plain,
( between(u,w,x)
| spl0_10 ),
inference(subsumption_resolution,[],[f31211,f78]) ).
fof(f31211,plain,
( between(u,w,x)
| ~ between(u,v,w)
| spl0_10 ),
inference(resolution,[],[f31154,f3479]) ).
fof(f3479,plain,
! [X0] :
( between(u,x,X0)
| between(u,X0,x)
| ~ between(u,v,X0) ),
inference(subsumption_resolution,[],[f3447,f80]) ).
fof(f80,axiom,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).
fof(f3447,plain,
! [X0] :
( u = v
| ~ between(u,v,X0)
| between(u,X0,x)
| between(u,x,X0) ),
inference(resolution,[],[f77,f79]) ).
fof(f77,axiom,
! [X3,X10,X0,X5] :
( ~ between(X10,X3,X5)
| X3 = X10
| ~ between(X10,X3,X0)
| between(X10,X0,X5)
| between(X10,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b12) ).
fof(f31154,plain,
( ~ between(u,x,w)
| spl0_10 ),
inference(avatar_component_clause,[],[f31152]) ).
fof(f31827,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f31826]) ).
fof(f31826,plain,
( $false
| spl0_10 ),
inference(subsumption_resolution,[],[f31823,f81]) ).
fof(f31823,plain,
( between(v,w,x)
| spl0_10 ),
inference(trivial_inequality_removal,[],[f31798]) ).
fof(f31798,plain,
( between(v,w,x)
| w != w
| spl0_10 ),
inference(resolution,[],[f31224,f1171]) ).
fof(f1171,plain,
! [X0] :
( between(u,v,X0)
| w != X0 ),
inference(resolution,[],[f1165,f47]) ).
fof(f1165,plain,
! [X0] :
( between(X0,v,u)
| w != X0 ),
inference(resolution,[],[f923,f487]) ).
fof(f923,plain,
! [X0] :
( ~ between(w,X0,v)
| between(X0,v,u) ),
inference(resolution,[],[f54,f105]) ).
fof(f105,plain,
between(w,v,u),
inference(resolution,[],[f47,f78]) ).
fof(f31825,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f31824]) ).
fof(f31824,plain,
( $false
| spl0_10 ),
inference(subsumption_resolution,[],[f31795,f81]) ).
fof(f31795,plain,
( between(v,w,x)
| spl0_10 ),
inference(resolution,[],[f31224,f78]) ).
fof(f31155,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f31140,f29528,f31152,f31148]) ).
fof(f31148,plain,
( spl0_9
<=> between(x,v,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f29528,plain,
( spl0_7
<=> between(u,w,reflection(u,x)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f31140,plain,
( ~ between(u,x,w)
| ~ between(x,v,w)
| ~ spl0_7 ),
inference(resolution,[],[f29926,f29010]) ).
fof(f29010,plain,
! [X0] :
( ~ between(x,X0,reflection(u,x))
| ~ between(x,v,X0) ),
inference(subsumption_resolution,[],[f28978,f22531]) ).
fof(f22531,plain,
! [X0] :
( ~ between(x,v,X0)
| x != X0 ),
inference(subsumption_resolution,[],[f22506,f499]) ).
fof(f22506,plain,
! [X0] :
( ~ between(x,v,X0)
| v = x
| x != X0 ),
inference(superposition,[],[f624,f22441]) ).
fof(f22441,plain,
! [X0] :
( extension(v,x,x,X0) = X0
| x != X0 ),
inference(resolution,[],[f22399,f480]) ).
fof(f624,plain,
! [X2,X3,X0,X1] :
( ~ between(X0,X1,extension(X1,X0,X2,X3))
| X0 = X1 ),
inference(resolution,[],[f49,f4]) ).
fof(f28978,plain,
! [X0] :
( ~ between(x,v,X0)
| ~ between(x,X0,reflection(u,x))
| x = X0 ),
inference(resolution,[],[f27894,f49]) ).
fof(f27894,plain,
! [X0] :
( between(X0,x,reflection(u,x))
| ~ between(x,v,X0) ),
inference(resolution,[],[f25579,f47]) ).
fof(f25579,plain,
! [X0] :
( between(reflection(u,x),x,X0)
| ~ between(x,v,X0) ),
inference(subsumption_resolution,[],[f25566,f499]) ).
fof(f25566,plain,
! [X0] :
( v = x
| ~ between(x,v,X0)
| between(reflection(u,x),x,X0) ),
inference(resolution,[],[f25366,f56]) ).
fof(f56,axiom,
! [X3,X10,X0,X5] :
( ~ between(X10,X3,X5)
| X3 = X5
| ~ between(X3,X5,X0)
| between(X10,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b7) ).
fof(f25366,plain,
between(reflection(u,x),x,v),
inference(superposition,[],[f110,f22451]) ).
fof(f22451,plain,
reflection(u,x) = extension(v,x,x,reflection(u,x)),
inference(resolution,[],[f22399,f32]) ).
fof(f110,plain,
! [X2,X3,X0,X1] : between(extension(X0,X1,X2,X3),X1,X0),
inference(resolution,[],[f47,f4]) ).
fof(f29926,plain,
( ! [X0] :
( between(X0,w,reflection(u,x))
| ~ between(u,X0,w) )
| ~ spl0_7 ),
inference(resolution,[],[f29530,f54]) ).
fof(f29530,plain,
( between(u,w,reflection(u,x))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f29528]) ).
fof(f29907,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f29906]) ).
fof(f29906,plain,
( $false
| spl0_7 ),
inference(subsumption_resolution,[],[f29877,f82]) ).
fof(f29877,plain,
( between(v,x,w)
| spl0_7 ),
inference(superposition,[],[f4,f29628]) ).
fof(f29628,plain,
( w = extension(v,x,x,w)
| spl0_7 ),
inference(resolution,[],[f29559,f22399]) ).
fof(f29559,plain,
( between(u,x,w)
| spl0_7 ),
inference(subsumption_resolution,[],[f29553,f79]) ).
fof(f29553,plain,
( between(u,x,w)
| ~ between(u,v,x)
| spl0_7 ),
inference(resolution,[],[f29542,f3478]) ).
fof(f3478,plain,
! [X0] :
( between(u,w,X0)
| between(u,X0,w)
| ~ between(u,v,X0) ),
inference(subsumption_resolution,[],[f3446,f80]) ).
fof(f3446,plain,
! [X0] :
( u = v
| ~ between(u,v,X0)
| between(u,X0,w)
| between(u,w,X0) ),
inference(resolution,[],[f77,f78]) ).
fof(f29542,plain,
( ~ between(u,w,x)
| spl0_7 ),
inference(resolution,[],[f29529,f1055]) ).
fof(f1055,plain,
! [X2,X0,X1] :
( between(X0,X1,reflection(X0,X2))
| ~ between(X0,X1,X2) ),
inference(resolution,[],[f58,f32]) ).
fof(f58,axiom,
! [X3,X10,X0,X5] :
( ~ between(X10,X5,X0)
| ~ between(X10,X3,X5)
| between(X10,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b9) ).
fof(f29529,plain,
( ~ between(u,w,reflection(u,x))
| spl0_7 ),
inference(avatar_component_clause,[],[f29528]) ).
fof(f29535,plain,
( spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f28763,f29532,f29528]) ).
fof(f29532,plain,
( spl0_8
<=> between(x,w,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f28763,plain,
( ~ between(x,w,v)
| between(u,w,reflection(u,x)) ),
inference(resolution,[],[f27768,f1920]) ).
fof(f1920,plain,
! [X0] :
( ~ between(v,w,X0)
| between(u,w,X0) ),
inference(subsumption_resolution,[],[f1897,f500]) ).
fof(f500,plain,
v != w,
inference(resolution,[],[f487,f81]) ).
fof(f1897,plain,
! [X0] :
( v = w
| ~ between(v,w,X0)
| between(u,w,X0) ),
inference(resolution,[],[f55,f78]) ).
fof(f27768,plain,
! [X0] :
( between(v,X0,reflection(u,x))
| ~ between(x,X0,v) ),
inference(resolution,[],[f25567,f47]) ).
fof(f25567,plain,
! [X0] :
( between(reflection(u,x),X0,v)
| ~ between(x,X0,v) ),
inference(resolution,[],[f25366,f57]) ).
fof(f57,axiom,
! [X3,X10,X0,X5] :
( ~ between(X10,X3,X0)
| ~ between(X3,X5,X0)
| between(X10,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b8) ).
fof(f11085,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f7912,f11082,f11078]) ).
fof(f11078,plain,
( spl0_5
<=> u = reflection(v,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f11082,plain,
( spl0_6
<=> between(x,reflection(v,u),u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f7912,plain,
( ~ between(x,reflection(v,u),u)
| u = reflection(v,u) ),
inference(resolution,[],[f7871,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(f7871,plain,
! [X0] :
( between(X0,u,reflection(v,u))
| ~ between(x,X0,u) ),
inference(superposition,[],[f915,f7148]) ).
fof(f7148,plain,
reflection(v,u) = extension(x,u,u,reflection(v,u)),
inference(resolution,[],[f4361,f32]) ).
fof(f4361,plain,
! [X0] :
( ~ between(v,u,X0)
| extension(x,u,u,X0) = X0 ),
inference(subsumption_resolution,[],[f4348,f639]) ).
fof(f4348,plain,
! [X0] :
( ~ between(v,u,X0)
| u = x
| extension(x,u,u,X0) = X0 ),
inference(resolution,[],[f1923,f40]) ).
fof(f40,axiom,
! [X3,X10,X5] :
( ~ between(X10,X3,X5)
| X3 = X10
| extension(X10,X3,X3,X5) = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_1) ).
fof(f1923,plain,
! [X0] :
( between(x,u,X0)
| ~ between(v,u,X0) ),
inference(subsumption_resolution,[],[f1910,f80]) ).
fof(f1910,plain,
! [X0] :
( u = v
| ~ between(v,u,X0)
| between(x,u,X0) ),
inference(resolution,[],[f55,f106]) ).
fof(f915,plain,
! [X2,X3,X0,X1,X4] :
( between(X1,X2,extension(X0,X2,X3,X4))
| ~ between(X0,X1,X2) ),
inference(resolution,[],[f54,f4]) ).
fof(f6918,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f1934,f6915,f6911]) ).
fof(f6911,plain,
( spl0_3
<=> between(u,reflection(v,x),x) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f6915,plain,
( spl0_4
<=> x = reflection(v,x) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1934,plain,
( x = reflection(v,x)
| ~ between(u,reflection(v,x),x) ),
inference(resolution,[],[f1928,f50]) ).
fof(f50,axiom,
! [X3,X10,X5] :
( ~ between(X10,X5,X3)
| X3 = X5
| ~ between(X10,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b3) ).
fof(f1928,plain,
between(u,x,reflection(v,x)),
inference(resolution,[],[f1921,f32]) ).
fof(f3592,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f3566,f3589,f3585]) ).
fof(f3585,plain,
( spl0_1
<=> v = reflection(v,x) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f3589,plain,
( spl0_2
<=> between(x,u,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f3566,plain,
( ~ between(x,u,w)
| v != reflection(v,x) ),
inference(resolution,[],[f3016,f1076]) ).
fof(f1076,plain,
! [X0] :
( between(u,X0,w)
| v != X0 ),
inference(resolution,[],[f994,f487]) ).
fof(f994,plain,
! [X0] :
( ~ between(v,X0,w)
| between(u,X0,w) ),
inference(resolution,[],[f57,f78]) ).
fof(f3016,plain,
! [X0] :
( ~ between(u,reflection(v,x),X0)
| ~ between(x,u,X0) ),
inference(subsumption_resolution,[],[f3000,f981]) ).
fof(f981,plain,
u != reflection(v,x),
inference(subsumption_resolution,[],[f979,f499]) ).
fof(f979,plain,
( u != reflection(v,x)
| v = x ),
inference(resolution,[],[f970,f698]) ).
fof(f698,plain,
! [X0,X1] :
( ~ between(reflection(X0,X1),X0,X1)
| X0 = X1 ),
inference(resolution,[],[f50,f93]) ).
fof(f93,plain,
! [X0,X1] : between(reflection(X0,X1),X1,X0),
inference(superposition,[],[f32,f44]) ).
fof(f970,plain,
! [X0] :
( between(X0,v,x)
| u != X0 ),
inference(resolution,[],[f922,f487]) ).
fof(f922,plain,
! [X0] :
( ~ between(u,X0,v)
| between(X0,v,x) ),
inference(resolution,[],[f54,f79]) ).
fof(f3000,plain,
! [X0] :
( ~ between(x,u,X0)
| ~ between(u,reflection(v,x),X0)
| u = reflection(v,x) ),
inference(resolution,[],[f1961,f49]) ).
fof(f1961,plain,
! [X0] :
( between(reflection(v,x),u,X0)
| ~ between(x,u,X0) ),
inference(subsumption_resolution,[],[f1952,f639]) ).
fof(f1952,plain,
! [X0] :
( u = x
| ~ between(x,u,X0)
| between(reflection(v,x),u,X0) ),
inference(resolution,[],[f1932,f55]) ).
fof(f1932,plain,
between(reflection(v,x),x,u),
inference(resolution,[],[f1928,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO051-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 05:49:28 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (21052)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (21055)WARNING: value z3 for option sas not known
% 0.14/0.38 % (21053)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (21054)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (21056)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (21055)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (21057)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (21058)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (21059)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 Detected minimum model sizes of [3]
% 0.14/0.38 Detected maximum model sizes of [max]
% 0.14/0.39 TRYING [3]
% 0.20/0.42 Detected minimum model sizes of [3]
% 0.20/0.42 Detected maximum model sizes of [max]
% 0.20/0.46 TRYING [3]
% 0.20/0.50 TRYING [4]
% 5.20/1.16 TRYING [5]
% 6.84/1.37 TRYING [4]
% 7.93/1.48 Detected minimum model sizes of [3]
% 7.93/1.48 Detected maximum model sizes of [max]
% 7.93/1.48 TRYING [3]
% 8.13/1.52 TRYING [4]
% 10.26/1.82 % (21055)First to succeed.
% 10.26/1.82 % (21055)Refutation found. Thanks to Tanya!
% 10.26/1.82 % SZS status Unsatisfiable for theBenchmark
% 10.26/1.82 % SZS output start Proof for theBenchmark
% See solution above
% 10.26/1.82 % (21055)------------------------------
% 10.26/1.82 % (21055)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 10.26/1.82 % (21055)Termination reason: Refutation
% 10.26/1.82
% 10.26/1.82 % (21055)Memory used [KB]: 19728
% 10.26/1.82 % (21055)Time elapsed: 1.445 s
% 10.26/1.82 % (21055)Instructions burned: 4676 (million)
% 10.26/1.82 % (21055)------------------------------
% 10.26/1.82 % (21055)------------------------------
% 10.26/1.82 % (21052)Success in time 1.429 s
%------------------------------------------------------------------------------