TSTP Solution File: SEU406+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU406+1 : TPTP v8.1.0. Released v3.4.0.
% 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 : n012.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 18:29:50 EDT 2022
% Result : Theorem 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 50 ( 10 unt; 0 def)
% Number of atoms : 227 ( 16 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 295 ( 118 ~; 91 |; 76 &)
% ( 8 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 72 ( 56 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f152,plain,
$false,
inference(avatar_sat_refutation,[],[f90,f96,f102,f103,f133,f151]) ).
fof(f151,plain,
( spl5_2
| spl5_3 ),
inference(avatar_contradiction_clause,[],[f150]) ).
fof(f150,plain,
( $false
| spl5_2
| spl5_3 ),
inference(subsumption_resolution,[],[f149,f97]) ).
fof(f97,plain,
r2_hidden(sK0,k2_xboole_0(sK1,sK3)),
inference(forward_demodulation,[],[f57,f72]) ).
fof(f72,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f57,plain,
r2_hidden(sK0,k2_xboole_0(sK3,sK1)),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( ~ r2_hidden(sK0,k4_xboole_0(sK3,sK1))
| ~ r2_hidden(sK2,k4_xboole_0(sK3,sK1)) )
& r2_hidden(sK2,k2_xboole_0(sK3,sK1))
& ( ~ r2_hidden(sK2,sK1)
| ~ r2_hidden(sK0,k4_xboole_0(sK3,sK1)) )
& r2_hidden(sK0,k2_xboole_0(sK3,sK1))
& ( ~ r2_hidden(sK2,sK1)
| ~ r2_hidden(sK0,sK1) )
& ( ~ r2_hidden(sK0,sK1)
| ~ r2_hidden(sK2,k4_xboole_0(sK3,sK1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f42,f43]) ).
fof(f43,plain,
( ? [X0,X1,X2,X3] :
( ( ~ r2_hidden(X0,k4_xboole_0(X3,X1))
| ~ r2_hidden(X2,k4_xboole_0(X3,X1)) )
& r2_hidden(X2,k2_xboole_0(X3,X1))
& ( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,k4_xboole_0(X3,X1)) )
& r2_hidden(X0,k2_xboole_0(X3,X1))
& ( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) )
& ( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X2,k4_xboole_0(X3,X1)) ) )
=> ( ( ~ r2_hidden(sK0,k4_xboole_0(sK3,sK1))
| ~ r2_hidden(sK2,k4_xboole_0(sK3,sK1)) )
& r2_hidden(sK2,k2_xboole_0(sK3,sK1))
& ( ~ r2_hidden(sK2,sK1)
| ~ r2_hidden(sK0,k4_xboole_0(sK3,sK1)) )
& r2_hidden(sK0,k2_xboole_0(sK3,sK1))
& ( ~ r2_hidden(sK2,sK1)
| ~ r2_hidden(sK0,sK1) )
& ( ~ r2_hidden(sK0,sK1)
| ~ r2_hidden(sK2,k4_xboole_0(sK3,sK1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
? [X0,X1,X2,X3] :
( ( ~ r2_hidden(X0,k4_xboole_0(X3,X1))
| ~ r2_hidden(X2,k4_xboole_0(X3,X1)) )
& r2_hidden(X2,k2_xboole_0(X3,X1))
& ( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,k4_xboole_0(X3,X1)) )
& r2_hidden(X0,k2_xboole_0(X3,X1))
& ( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) )
& ( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X2,k4_xboole_0(X3,X1)) ) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
? [X3,X2,X1,X0] :
( ( ~ r2_hidden(X3,k4_xboole_0(X0,X2))
| ~ r2_hidden(X1,k4_xboole_0(X0,X2)) )
& r2_hidden(X1,k2_xboole_0(X0,X2))
& ( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X3,k4_xboole_0(X0,X2)) )
& r2_hidden(X3,k2_xboole_0(X0,X2))
& ( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X3,X2) )
& ( ~ r2_hidden(X3,X2)
| ~ r2_hidden(X1,k4_xboole_0(X0,X2)) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
~ ! [X3,X0,X2,X1] :
~ ( ~ ( r2_hidden(X3,k4_xboole_0(X0,X2))
& r2_hidden(X1,X2) )
& r2_hidden(X3,k2_xboole_0(X0,X2))
& ~ ( r2_hidden(X3,X2)
& r2_hidden(X1,k4_xboole_0(X0,X2)) )
& ~ ( r2_hidden(X3,X2)
& r2_hidden(X1,X2) )
& r2_hidden(X1,k2_xboole_0(X0,X2))
& ~ ( r2_hidden(X3,k4_xboole_0(X0,X2))
& r2_hidden(X1,k4_xboole_0(X0,X2)) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X2,X0,X3,X1] :
~ ( ~ ( r2_hidden(X1,k4_xboole_0(X2,X3))
& r2_hidden(X0,k4_xboole_0(X2,X3)) )
& r2_hidden(X1,k2_xboole_0(X2,X3))
& ~ ( r2_hidden(X0,X3)
& r2_hidden(X1,k4_xboole_0(X2,X3)) )
& ~ ( r2_hidden(X1,X3)
& r2_hidden(X0,X3) )
& ~ ( r2_hidden(X1,X3)
& r2_hidden(X0,k4_xboole_0(X2,X3)) )
& r2_hidden(X0,k2_xboole_0(X2,X3)) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X2,X0,X3,X1] :
~ ( ~ ( r2_hidden(X1,k4_xboole_0(X2,X3))
& r2_hidden(X0,k4_xboole_0(X2,X3)) )
& r2_hidden(X1,k2_xboole_0(X2,X3))
& ~ ( r2_hidden(X0,X3)
& r2_hidden(X1,k4_xboole_0(X2,X3)) )
& ~ ( r2_hidden(X1,X3)
& r2_hidden(X0,X3) )
& ~ ( r2_hidden(X1,X3)
& r2_hidden(X0,k4_xboole_0(X2,X3)) )
& r2_hidden(X0,k2_xboole_0(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_latsum_1) ).
fof(f149,plain,
( ~ r2_hidden(sK0,k2_xboole_0(sK1,sK3))
| spl5_2
| spl5_3 ),
inference(forward_demodulation,[],[f141,f70]) ).
fof(f70,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k4_xboole_0(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_xboole_1) ).
fof(f141,plain,
( ~ r2_hidden(sK0,k2_xboole_0(sK1,k4_xboole_0(sK3,sK1)))
| spl5_2
| spl5_3 ),
inference(unit_resulting_resolution,[],[f95,f89,f81]) ).
fof(f81,plain,
! [X2,X3,X0] :
( ~ r2_hidden(X3,k2_xboole_0(X2,X0))
| r2_hidden(X3,X0)
| r2_hidden(X3,X2) ),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X3,X2)
| r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| k2_xboole_0(X2,X0) != X1 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( r2_hidden(X3,X1)
| ( ~ r2_hidden(X3,X2)
& ~ r2_hidden(X3,X0) ) )
& ( r2_hidden(X3,X2)
| r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1) ) )
| k2_xboole_0(X2,X0) != X1 )
& ( k2_xboole_0(X2,X0) = X1
| ( ( ( ~ r2_hidden(sK4(X0,X1,X2),X2)
& ~ r2_hidden(sK4(X0,X1,X2),X0) )
| ~ r2_hidden(sK4(X0,X1,X2),X1) )
& ( r2_hidden(sK4(X0,X1,X2),X2)
| r2_hidden(sK4(X0,X1,X2),X0)
| r2_hidden(sK4(X0,X1,X2),X1) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f47,f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( ( ~ r2_hidden(X4,X2)
& ~ r2_hidden(X4,X0) )
| ~ r2_hidden(X4,X1) )
& ( r2_hidden(X4,X2)
| r2_hidden(X4,X0)
| r2_hidden(X4,X1) ) )
=> ( ( ( ~ r2_hidden(sK4(X0,X1,X2),X2)
& ~ r2_hidden(sK4(X0,X1,X2),X0) )
| ~ r2_hidden(sK4(X0,X1,X2),X1) )
& ( r2_hidden(sK4(X0,X1,X2),X2)
| r2_hidden(sK4(X0,X1,X2),X0)
| r2_hidden(sK4(X0,X1,X2),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( r2_hidden(X3,X1)
| ( ~ r2_hidden(X3,X2)
& ~ r2_hidden(X3,X0) ) )
& ( r2_hidden(X3,X2)
| r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1) ) )
| k2_xboole_0(X2,X0) != X1 )
& ( k2_xboole_0(X2,X0) = X1
| ? [X4] :
( ( ( ~ r2_hidden(X4,X2)
& ~ r2_hidden(X4,X0) )
| ~ r2_hidden(X4,X1) )
& ( r2_hidden(X4,X2)
| r2_hidden(X4,X0)
| r2_hidden(X4,X1) ) ) ) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X2,X1,X0] :
( ( ! [X3] :
( ( r2_hidden(X3,X1)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X2) ) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) ) )
| k2_xboole_0(X0,X2) != X1 )
& ( k2_xboole_0(X0,X2) = X1
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X2) )
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X2)
| r2_hidden(X3,X1) ) ) ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X2,X1,X0] :
( ( ! [X3] :
( ( r2_hidden(X3,X1)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X2) ) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) ) )
| k2_xboole_0(X0,X2) != X1 )
& ( k2_xboole_0(X0,X2) = X1
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X2) )
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X2)
| r2_hidden(X3,X1) ) ) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X2,X1,X0] :
( ! [X3] :
( r2_hidden(X3,X1)
<=> ( r2_hidden(X3,X0)
| r2_hidden(X3,X2) ) )
<=> k2_xboole_0(X0,X2) = X1 ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X2,X1] :
( k2_xboole_0(X0,X1) = X2
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X1)
| r2_hidden(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f89,plain,
( ~ r2_hidden(sK0,k4_xboole_0(sK3,sK1))
| spl5_2 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl5_2
<=> r2_hidden(sK0,k4_xboole_0(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f95,plain,
( ~ r2_hidden(sK0,sK1)
| spl5_3 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl5_3
<=> r2_hidden(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f133,plain,
( spl5_1
| spl5_4 ),
inference(avatar_contradiction_clause,[],[f132]) ).
fof(f132,plain,
( $false
| spl5_1
| spl5_4 ),
inference(subsumption_resolution,[],[f131,f91]) ).
fof(f91,plain,
r2_hidden(sK2,k2_xboole_0(sK1,sK3)),
inference(forward_demodulation,[],[f59,f72]) ).
fof(f59,plain,
r2_hidden(sK2,k2_xboole_0(sK3,sK1)),
inference(cnf_transformation,[],[f44]) ).
fof(f131,plain,
( ~ r2_hidden(sK2,k2_xboole_0(sK1,sK3))
| spl5_1
| spl5_4 ),
inference(forward_demodulation,[],[f123,f70]) ).
fof(f123,plain,
( ~ r2_hidden(sK2,k2_xboole_0(sK1,k4_xboole_0(sK3,sK1)))
| spl5_1
| spl5_4 ),
inference(unit_resulting_resolution,[],[f85,f101,f81]) ).
fof(f101,plain,
( ~ r2_hidden(sK2,k4_xboole_0(sK3,sK1))
| spl5_4 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl5_4
<=> r2_hidden(sK2,k4_xboole_0(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f85,plain,
( ~ r2_hidden(sK2,sK1)
| spl5_1 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl5_1
<=> r2_hidden(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f103,plain,
( ~ spl5_4
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f55,f93,f99]) ).
fof(f55,plain,
( ~ r2_hidden(sK0,sK1)
| ~ r2_hidden(sK2,k4_xboole_0(sK3,sK1)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f102,plain,
( ~ spl5_2
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f60,f99,f87]) ).
fof(f60,plain,
( ~ r2_hidden(sK2,k4_xboole_0(sK3,sK1))
| ~ r2_hidden(sK0,k4_xboole_0(sK3,sK1)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f96,plain,
( ~ spl5_1
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f56,f93,f83]) ).
fof(f56,plain,
( ~ r2_hidden(sK0,sK1)
| ~ r2_hidden(sK2,sK1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f90,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f58,f87,f83]) ).
fof(f58,plain,
( ~ r2_hidden(sK0,k4_xboole_0(sK3,sK1))
| ~ r2_hidden(sK2,sK1) ),
inference(cnf_transformation,[],[f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU406+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 15:25:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.55 % (17540)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (17548)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.56 % (17555)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.56 % (17543)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.56 % (17540)First to succeed.
% 0.19/0.57 % (17555)Instruction limit reached!
% 0.19/0.57 % (17555)------------------------------
% 0.19/0.57 % (17555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (17555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (17555)Termination reason: Unknown
% 0.19/0.57 % (17555)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (17555)Memory used [KB]: 1407
% 0.19/0.57 % (17555)Time elapsed: 0.004 s
% 0.19/0.57 % (17555)Instructions burned: 2 (million)
% 0.19/0.57 % (17555)------------------------------
% 0.19/0.57 % (17555)------------------------------
% 0.19/0.57 % (17540)Refutation found. Thanks to Tanya!
% 0.19/0.57 % SZS status Theorem for theBenchmark
% 0.19/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57 % (17540)------------------------------
% 0.19/0.57 % (17540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (17540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (17540)Termination reason: Refutation
% 0.19/0.57
% 0.19/0.57 % (17540)Memory used [KB]: 6012
% 0.19/0.57 % (17540)Time elapsed: 0.135 s
% 0.19/0.57 % (17540)Instructions burned: 4 (million)
% 0.19/0.57 % (17540)------------------------------
% 0.19/0.57 % (17540)------------------------------
% 0.19/0.57 % (17536)Success in time 0.219 s
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