TSTP Solution File: SEU041+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU041+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n018.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 18:31:47 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 8 unt; 3 typ; 0 def)
% Number of atoms : 98 ( 39 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 104 ( 39 ~; 29 |; 21 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 62 ( 53 !; 9 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_10,type,
sQ15_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_11,type,
sQ16_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_12,type,
sQ17_eqProxy: ( $real * $real ) > $o ).
fof(f382,plain,
$false,
inference(subsumption_resolution,[],[f313,f356]) ).
fof(f356,plain,
relation_dom_restriction(relation_dom_restriction(sK7,sK6),sK5) != relation_dom_restriction(sK7,sK6),
inference(subsumption_resolution,[],[f200,f300]) ).
fof(f300,plain,
relation_dom_restriction(relation_dom_restriction(sK7,sK5),sK6) = relation_dom_restriction(sK7,sK6),
inference(resolution,[],[f284,f189]) ).
fof(f189,plain,
relation(sK7),
inference(literal_reordering,[],[f126]) ).
fof(f126,plain,
relation(sK7),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( relation(sK7)
& ( relation_dom_restriction(relation_dom_restriction(sK7,sK5),sK6) != relation_dom_restriction(sK7,sK6)
| relation_dom_restriction(relation_dom_restriction(sK7,sK6),sK5) != relation_dom_restriction(sK7,sK6) )
& subset(sK6,sK5)
& function(sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f55,f86]) ).
fof(f86,plain,
( ? [X0,X1,X2] :
( relation(X2)
& ( relation_dom_restriction(relation_dom_restriction(X2,X0),X1) != relation_dom_restriction(X2,X1)
| relation_dom_restriction(X2,X1) != relation_dom_restriction(relation_dom_restriction(X2,X1),X0) )
& subset(X1,X0)
& function(X2) )
=> ( relation(sK7)
& ( relation_dom_restriction(relation_dom_restriction(sK7,sK5),sK6) != relation_dom_restriction(sK7,sK6)
| relation_dom_restriction(relation_dom_restriction(sK7,sK6),sK5) != relation_dom_restriction(sK7,sK6) )
& subset(sK6,sK5)
& function(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0,X1,X2] :
( relation(X2)
& ( relation_dom_restriction(relation_dom_restriction(X2,X0),X1) != relation_dom_restriction(X2,X1)
| relation_dom_restriction(X2,X1) != relation_dom_restriction(relation_dom_restriction(X2,X1),X0) )
& subset(X1,X0)
& function(X2) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
? [X1,X0,X2] :
( ( relation_dom_restriction(relation_dom_restriction(X2,X0),X1) != relation_dom_restriction(X2,X1)
| relation_dom_restriction(X2,X1) != relation_dom_restriction(relation_dom_restriction(X2,X1),X0) )
& subset(X1,X0)
& function(X2)
& relation(X2) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
~ ! [X1,X0,X2] :
( ( function(X2)
& relation(X2) )
=> ( subset(X1,X0)
=> ( relation_dom_restriction(X2,X1) = relation_dom_restriction(relation_dom_restriction(X2,X1),X0)
& relation_dom_restriction(relation_dom_restriction(X2,X0),X1) = relation_dom_restriction(X2,X1) ) ) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X1,X0,X2] :
( ( function(X2)
& relation(X2) )
=> ( subset(X0,X1)
=> ( relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X0),X1)
& relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X1),X0) ) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X1,X0,X2] :
( ( function(X2)
& relation(X2) )
=> ( subset(X0,X1)
=> ( relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X0),X1)
& relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t82_funct_1) ).
fof(f284,plain,
! [X0] :
( ~ relation(X0)
| relation_dom_restriction(relation_dom_restriction(X0,sK5),sK6) = relation_dom_restriction(X0,sK6) ),
inference(resolution,[],[f176,f178]) ).
fof(f178,plain,
subset(sK6,sK5),
inference(literal_reordering,[],[f124]) ).
fof(f124,plain,
subset(sK6,sK5),
inference(cnf_transformation,[],[f87]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ subset(X2,X1)
| relation_dom_restriction(X0,X2) = relation_dom_restriction(relation_dom_restriction(X0,X1),X2)
| ~ relation(X0) ),
inference(literal_reordering,[],[f132]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ subset(X2,X1)
| relation_dom_restriction(X0,X2) = relation_dom_restriction(relation_dom_restriction(X0,X1),X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ relation(X0)
| relation_dom_restriction(X0,X2) = relation_dom_restriction(relation_dom_restriction(X0,X1),X2)
| ~ subset(X2,X1) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X1,X0,X2] :
( ~ relation(X1)
| relation_dom_restriction(relation_dom_restriction(X1,X0),X2) = relation_dom_restriction(X1,X2)
| ~ subset(X2,X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( relation_dom_restriction(relation_dom_restriction(X1,X0),X2) = relation_dom_restriction(X1,X2)
| ~ subset(X2,X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( relation(X1)
=> ( subset(X2,X0)
=> relation_dom_restriction(relation_dom_restriction(X1,X0),X2) = relation_dom_restriction(X1,X2) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X1,X2,X0] :
( relation(X2)
=> ( subset(X0,X1)
=> relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t103_relat_1) ).
fof(f200,plain,
( relation_dom_restriction(relation_dom_restriction(sK7,sK6),sK5) != relation_dom_restriction(sK7,sK6)
| relation_dom_restriction(relation_dom_restriction(sK7,sK5),sK6) != relation_dom_restriction(sK7,sK6) ),
inference(literal_reordering,[],[f125]) ).
fof(f125,plain,
( relation_dom_restriction(relation_dom_restriction(sK7,sK6),sK5) != relation_dom_restriction(sK7,sK6)
| relation_dom_restriction(relation_dom_restriction(sK7,sK5),sK6) != relation_dom_restriction(sK7,sK6) ),
inference(cnf_transformation,[],[f87]) ).
fof(f313,plain,
relation_dom_restriction(relation_dom_restriction(sK7,sK6),sK5) = relation_dom_restriction(sK7,sK6),
inference(resolution,[],[f288,f189]) ).
fof(f288,plain,
! [X0] :
( ~ relation(X0)
| relation_dom_restriction(relation_dom_restriction(X0,sK6),sK5) = relation_dom_restriction(X0,sK6) ),
inference(resolution,[],[f202,f178]) ).
fof(f202,plain,
! [X2,X0,X1] :
( ~ subset(X2,X0)
| ~ relation(X1)
| relation_dom_restriction(relation_dom_restriction(X1,X2),X0) = relation_dom_restriction(X1,X2) ),
inference(literal_reordering,[],[f131]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ subset(X2,X0)
| relation_dom_restriction(relation_dom_restriction(X1,X2),X0) = relation_dom_restriction(X1,X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ~ relation(X1)
| ~ subset(X2,X0)
| relation_dom_restriction(relation_dom_restriction(X1,X2),X0) = relation_dom_restriction(X1,X2) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X0,X2,X1] :
( ~ relation(X2)
| ~ subset(X1,X0)
| relation_dom_restriction(X2,X1) = relation_dom_restriction(relation_dom_restriction(X2,X1),X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( relation_dom_restriction(X2,X1) = relation_dom_restriction(relation_dom_restriction(X2,X1),X0)
| ~ subset(X1,X0)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( relation(X2)
=> ( subset(X1,X0)
=> relation_dom_restriction(X2,X1) = relation_dom_restriction(relation_dom_restriction(X2,X1),X0) ) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X1,X0,X2] :
( relation(X2)
=> ( subset(X0,X1)
=> relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X0),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t102_relat_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU041+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n018.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 14:41:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (21317)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (21327)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (21334)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.50 % (21307)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.50 % (21325)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 % (21318)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 TRYING [2]
% 0.19/0.50 % (21316)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 TRYING [3]
% 0.19/0.51 % (21309)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51 % (21334)First to succeed.
% 0.19/0.51 TRYING [4]
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 TRYING [3]
% 0.19/0.52 TRYING [4]
% 0.19/0.52 % (21334)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (21334)------------------------------
% 0.19/0.52 % (21334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (21334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (21334)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (21334)Memory used [KB]: 5884
% 0.19/0.52 % (21334)Time elapsed: 0.011 s
% 0.19/0.52 % (21334)Instructions burned: 10 (million)
% 0.19/0.52 % (21334)------------------------------
% 0.19/0.52 % (21334)------------------------------
% 0.19/0.52 % (21306)Success in time 0.171 s
%------------------------------------------------------------------------------