TSTP Solution File: SEU037+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU037+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 15:21:56 EDT 2024
% Result : Theorem 0.12s 0.37s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 6
% Syntax : Number of formulae : 45 ( 9 unt; 0 def)
% Number of atoms : 199 ( 63 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 264 ( 110 ~; 100 |; 40 &)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 83 ( 70 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f743,plain,
$false,
inference(trivial_inequality_removal,[],[f742]) ).
fof(f742,plain,
apply(sK2,sK1) != apply(sK2,sK1),
inference(superposition,[],[f108,f740]) ).
fof(f740,plain,
apply(relation_dom_restriction(sK2,sK0),sK1) = apply(sK2,sK1),
inference(resolution,[],[f739,f105]) ).
fof(f105,plain,
relation(sK2),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( apply(relation_dom_restriction(sK2,sK0),sK1) != apply(sK2,sK1)
& in(sK1,set_intersection2(relation_dom(sK2),sK0))
& function(sK2)
& relation(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f47,f76]) ).
fof(f76,plain,
( ? [X0,X1,X2] :
( apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1)
& in(X1,set_intersection2(relation_dom(X2),X0))
& function(X2)
& relation(X2) )
=> ( apply(relation_dom_restriction(sK2,sK0),sK1) != apply(sK2,sK1)
& in(sK1,set_intersection2(relation_dom(sK2),sK0))
& function(sK2)
& relation(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
? [X0,X1,X2] :
( apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1)
& in(X1,set_intersection2(relation_dom(X2),X0))
& function(X2)
& relation(X2) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
? [X0,X1,X2] :
( apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1)
& in(X1,set_intersection2(relation_dom(X2),X0))
& function(X2)
& relation(X2) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,set_intersection2(relation_dom(X2),X0))
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,set_intersection2(relation_dom(X2),X0))
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_funct_1) ).
fof(f739,plain,
( ~ relation(sK2)
| apply(relation_dom_restriction(sK2,sK0),sK1) = apply(sK2,sK1) ),
inference(duplicate_literal_removal,[],[f737]) ).
fof(f737,plain,
( apply(relation_dom_restriction(sK2,sK0),sK1) = apply(sK2,sK1)
| ~ relation(sK2)
| ~ relation(sK2) ),
inference(resolution,[],[f735,f133]) ).
fof(f133,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f735,plain,
( ~ relation(relation_dom_restriction(sK2,sK0))
| apply(relation_dom_restriction(sK2,sK0),sK1) = apply(sK2,sK1)
| ~ relation(sK2) ),
inference(resolution,[],[f581,f106]) ).
fof(f106,plain,
function(sK2),
inference(cnf_transformation,[],[f77]) ).
fof(f581,plain,
( ~ function(sK2)
| ~ relation(sK2)
| apply(relation_dom_restriction(sK2,sK0),sK1) = apply(sK2,sK1)
| ~ relation(relation_dom_restriction(sK2,sK0)) ),
inference(duplicate_literal_removal,[],[f579]) ).
fof(f579,plain,
( ~ function(sK2)
| ~ relation(sK2)
| apply(relation_dom_restriction(sK2,sK0),sK1) = apply(sK2,sK1)
| ~ relation(relation_dom_restriction(sK2,sK0))
| ~ function(sK2)
| ~ relation(sK2) ),
inference(resolution,[],[f560,f140]) ).
fof(f140,plain,
! [X0,X1] :
( function(relation_dom_restriction(X0,X1))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( function(X0)
& relation(X0) )
=> ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_funct_1) ).
fof(f560,plain,
( ~ function(relation_dom_restriction(sK2,sK0))
| ~ function(sK2)
| ~ relation(sK2)
| apply(relation_dom_restriction(sK2,sK0),sK1) = apply(sK2,sK1)
| ~ relation(relation_dom_restriction(sK2,sK0)) ),
inference(resolution,[],[f559,f166]) ).
fof(f166,plain,
! [X2,X0,X4] :
( ~ in(X4,relation_dom(relation_dom_restriction(X2,X0)))
| apply(X2,X4) = apply(relation_dom_restriction(X2,X0),X4)
| ~ function(X2)
| ~ relation(X2)
| ~ function(relation_dom_restriction(X2,X0))
| ~ relation(relation_dom_restriction(X2,X0)) ),
inference(equality_resolution,[],[f142]) ).
fof(f142,plain,
! [X2,X0,X1,X4] :
( apply(X1,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X1))
| relation_dom_restriction(X2,X0) != X1
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_dom_restriction(X2,X0) = X1
| ( apply(X1,sK6(X1,X2)) != apply(X2,sK6(X1,X2))
& in(sK6(X1,X2),relation_dom(X1)) )
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
& ( ( ! [X4] :
( apply(X1,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f86,f87]) ).
fof(f87,plain,
! [X1,X2] :
( ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) )
=> ( apply(X1,sK6(X1,X2)) != apply(X2,sK6(X1,X2))
& in(sK6(X1,X2),relation_dom(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_dom_restriction(X2,X0) = X1
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) )
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
& ( ( ! [X4] :
( apply(X1,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_dom_restriction(X2,X0) = X1
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) )
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
& ( ( ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_dom_restriction(X2,X0) = X1
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) )
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
& ( ( ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_dom_restriction(X2,X0) = X1
<=> ( ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_dom_restriction(X2,X0) = X1
<=> ( ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( relation_dom_restriction(X2,X0) = X1
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_funct_1) ).
fof(f559,plain,
in(sK1,relation_dom(relation_dom_restriction(sK2,sK0))),
inference(backward_demodulation,[],[f107,f557]) ).
fof(f557,plain,
! [X0] : set_intersection2(relation_dom(sK2),X0) = relation_dom(relation_dom_restriction(sK2,X0)),
inference(resolution,[],[f556,f105]) ).
fof(f556,plain,
! [X0] :
( ~ relation(sK2)
| set_intersection2(relation_dom(sK2),X0) = relation_dom(relation_dom_restriction(sK2,X0)) ),
inference(duplicate_literal_removal,[],[f552]) ).
fof(f552,plain,
! [X0] :
( set_intersection2(relation_dom(sK2),X0) = relation_dom(relation_dom_restriction(sK2,X0))
| ~ relation(sK2)
| ~ relation(sK2) ),
inference(resolution,[],[f541,f133]) ).
fof(f541,plain,
! [X0] :
( ~ relation(relation_dom_restriction(sK2,X0))
| set_intersection2(relation_dom(sK2),X0) = relation_dom(relation_dom_restriction(sK2,X0))
| ~ relation(sK2) ),
inference(resolution,[],[f294,f106]) ).
fof(f294,plain,
! [X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| set_intersection2(relation_dom(X0),X1) = relation_dom(relation_dom_restriction(X0,X1))
| ~ relation(relation_dom_restriction(X0,X1)) ),
inference(duplicate_literal_removal,[],[f292]) ).
fof(f292,plain,
! [X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| set_intersection2(relation_dom(X0),X1) = relation_dom(relation_dom_restriction(X0,X1))
| ~ relation(relation_dom_restriction(X0,X1))
| ~ function(X0)
| ~ relation(X0) ),
inference(resolution,[],[f167,f140]) ).
fof(f167,plain,
! [X2,X0] :
( ~ function(relation_dom_restriction(X2,X0))
| ~ function(X2)
| ~ relation(X2)
| set_intersection2(relation_dom(X2),X0) = relation_dom(relation_dom_restriction(X2,X0))
| ~ relation(relation_dom_restriction(X2,X0)) ),
inference(equality_resolution,[],[f141]) ).
fof(f141,plain,
! [X2,X0,X1] :
( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
| relation_dom_restriction(X2,X0) != X1
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f107,plain,
in(sK1,set_intersection2(relation_dom(sK2),sK0)),
inference(cnf_transformation,[],[f77]) ).
fof(f108,plain,
apply(relation_dom_restriction(sK2,sK0),sK1) != apply(sK2,sK1),
inference(cnf_transformation,[],[f77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SEU037+1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.32 % Computer : n018.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Apr 29 20:30:57 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.33 % (5889)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.34 % (5892)WARNING: value z3 for option sas not known
% 0.12/0.34 % (5892)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)
% 0.12/0.34 % (5896)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)
% 0.12/0.34 % (5890)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.34 % (5891)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.34 % (5894)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)
% 0.12/0.34 % (5895)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)
% 0.12/0.34 % (5893)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.35 TRYING [1]
% 0.12/0.35 TRYING [2]
% 0.12/0.35 TRYING [3]
% 0.12/0.35 TRYING [1]
% 0.12/0.35 TRYING [2]
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 TRYING [4]
% 0.12/0.36 TRYING [3]
% 0.12/0.36 % (5895)First to succeed.
% 0.12/0.36 TRYING [4]
% 0.12/0.37 % (5895)Refutation found. Thanks to Tanya!
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.37 % (5895)------------------------------
% 0.12/0.37 % (5895)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.37 % (5895)Termination reason: Refutation
% 0.12/0.37
% 0.12/0.37 % (5895)Memory used [KB]: 1063
% 0.12/0.37 % (5895)Time elapsed: 0.022 s
% 0.12/0.37 % (5895)Instructions burned: 37 (million)
% 0.12/0.37 % (5895)------------------------------
% 0.12/0.37 % (5895)------------------------------
% 0.12/0.37 % (5889)Success in time 0.038 s
%------------------------------------------------------------------------------