%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEV566+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:33:01 PM UTC 2026
% Result : Theorem 70.61s 9.52s
% Output : CNFRefutation 70.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 10
% Syntax : Number of formulae : 98 ( 23 unt; 0 def)
% Number of atoms : 249 ( 54 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 228 ( 77 ~; 123 |; 19 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 160 ( 158 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( subq(X,Y)
<=> ! [Z] :
( mem(Z,X)
=> mem(Z,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( subq(X,Y)
=> ( subq(Y,X)
=> X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : ~ mem(X,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] :
( mem(X,s(Y))
<=> X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] :
( mem(X,u(Y,Z))
<=> ( mem(X,Z)
| mem(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] :
( mem(X,m(Y,Z))
<=> ( ~ mem(X,Z)
& mem(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] : a(X,Y) = u(X,s(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] : n(X) = a(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] :
( mem(X,p(Y))
<=> subq(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,conjecture,
~ subq(u(m(p(u(n(e),n(s(n(e))))),n(p(s(n(e))))),s(a(s(n(e)),n(n(e))))),u(m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e)))))),s(a(s(n(e)),n(n(e)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
~ ~ subq(u(m(p(u(n(e),n(s(n(e))))),n(p(s(n(e))))),s(a(s(n(e)),n(n(e))))),u(m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e)))))),s(a(s(n(e)),n(n(e)))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
! [X,Y] :
( subq(X,Y)
<=> ! [Z] :
( mem(Z,Y)
| ~ mem(Z,X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f29,plain,
! [X,Y] :
( ( ? [Z] :
( ~ mem(Z,Y)
& mem(Z,X) )
| subq(X,Y) )
& ( ! [Z] :
( mem(Z,Y)
| ~ mem(Z,X) )
| ~ subq(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f28]) ).
fof(f30,plain,
( ! [X,Y] :
( ? [Z] :
( ~ mem(Z,Y)
& mem(Z,X) )
| subq(X,Y) )
& ! [X,Y] :
( ! [Z] :
( mem(Z,Y)
| ~ mem(Z,X) )
| ~ subq(X,Y) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f31,plain,
( ! [X,Y] :
( ( ~ mem(sK0_skl(Y,X),Y)
& mem(sK0_skl(Y,X),X) )
| subq(X,Y) )
& ! [X,Y] :
( ! [Z] :
( mem(Z,Y)
| ~ mem(Z,X) )
| ~ subq(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Z,sK0_skl(Y,X))],[f30]) ).
fof(f32,plain,
! [X0,X1,X2] :
( mem(X2,X1)
| ~ mem(X2,X0)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( mem(sK0_skl(X1,X0),X0)
| subq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f34,plain,
! [X0,X1] :
( ~ mem(sK0_skl(X1,X0),X1)
| subq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f35,plain,
! [X,Y] :
( X = Y
| ~ subq(Y,X)
| ~ subq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f36,plain,
! [X0,X1] :
( X0 = X1
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f44,plain,
! [X0] : ~ mem(X0,e),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f45,plain,
! [X,Y] :
( ( X != Y
| mem(X,s(Y)) )
& ( X = Y
| ~ mem(X,s(Y)) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f46,plain,
( ! [X,Y] :
( X != Y
| mem(X,s(Y)) )
& ! [X,Y] :
( X = Y
| ~ mem(X,s(Y)) ) ),
inference(miniscoping,[status(thm)],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( X0 = X1
| ~ mem(X0,s(X1)) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f48,plain,
! [X0,X1] :
( X0 != X1
| mem(X0,s(X1)) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f49,plain,
! [X,Y,Z] :
( ( ( ~ mem(X,Z)
& ~ mem(X,Y) )
| mem(X,u(Y,Z)) )
& ( mem(X,Z)
| mem(X,Y)
| ~ mem(X,u(Y,Z)) ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f50,plain,
( ! [X,Y,Z] :
( ( ~ mem(X,Z)
& ~ mem(X,Y) )
| mem(X,u(Y,Z)) )
& ! [X,Y,Z] :
( mem(X,Z)
| mem(X,Y)
| ~ mem(X,u(Y,Z)) ) ),
inference(miniscoping,[status(thm)],[f49]) ).
fof(f51,plain,
! [X0,X1,X2] :
( mem(X0,X2)
| mem(X0,X1)
| ~ mem(X0,u(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ~ mem(X0,X1)
| mem(X0,u(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ mem(X0,X2)
| mem(X0,u(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f54,plain,
! [X,Y,Z] :
( ( mem(X,Z)
| ~ mem(X,Y)
| mem(X,m(Y,Z)) )
& ( ( ~ mem(X,Z)
& mem(X,Y) )
| ~ mem(X,m(Y,Z)) ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f55,plain,
( ! [X,Y,Z] :
( mem(X,Z)
| ~ mem(X,Y)
| mem(X,m(Y,Z)) )
& ! [X,Y,Z] :
( ( ~ mem(X,Z)
& mem(X,Y) )
| ~ mem(X,m(Y,Z)) ) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ~ mem(X0,X2)
| ~ mem(X0,m(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f58,plain,
! [X0,X1,X2] :
( mem(X0,X2)
| ~ mem(X0,X1)
| mem(X0,m(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f59,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f60,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f61,plain,
! [X,Y] :
( ( ~ subq(X,Y)
| mem(X,p(Y)) )
& ( subq(X,Y)
| ~ mem(X,p(Y)) ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f62,plain,
( ! [X,Y] :
( ~ subq(X,Y)
| mem(X,p(Y)) )
& ! [X,Y] :
( subq(X,Y)
| ~ mem(X,p(Y)) ) ),
inference(miniscoping,[status(thm)],[f61]) ).
fof(f63,plain,
! [X0,X1] :
( subq(X0,X1)
| ~ mem(X0,p(X1)) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f64,plain,
! [X0,X1] :
( ~ subq(X0,X1)
| mem(X0,p(X1)) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f169,plain,
subq(u(m(p(u(n(e),n(s(n(e))))),n(p(s(n(e))))),s(a(s(n(e)),n(n(e))))),u(m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e)))))),s(a(s(n(e)),n(n(e)))))),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f170,plain,
! [X0] : mem(X0,s(X0)),
inference(destructive_equality_resolution,[status(thm)],[f48]) ).
fof(f171,plain,
subq(a(m(p(u(n(e),n(s(n(e))))),n(p(s(n(e))))),a(s(n(e)),n(n(e)))),u(m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e)))))),s(a(s(n(e)),n(n(e)))))),
inference(forward_demodulation,[status(thm)],[f59,f169]) ).
fof(f172,plain,
subq(a(m(p(u(n(e),n(s(n(e))))),n(p(s(n(e))))),a(s(n(e)),n(n(e)))),a(m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e)))))),a(s(n(e)),n(n(e))))),
inference(forward_demodulation,[status(thm)],[f59,f171]) ).
fof(f176,plain,
! [X0,X1,X2] :
( ~ mem(X0,X1)
| mem(X0,a(X1,X2)) ),
inference(paramodulation,[status(thm)],[f59,f52]) ).
fof(f177,plain,
! [X0,X1,X2] :
( ~ mem(X0,s(X2))
| mem(X0,a(X1,X2)) ),
inference(paramodulation,[status(thm)],[f59,f53]) ).
fof(f179,plain,
! [X0,X1] : mem(X0,a(X1,X0)),
inference(resolution,[status(thm)],[f177,f170]) ).
fof(f180,plain,
! [X0] : mem(X0,n(X0)),
inference(paramodulation,[status(thm)],[f60,f179]) ).
fof(f183,plain,
! [X0,X1,X2] :
( mem(X0,s(X2))
| mem(X0,X1)
| ~ mem(X0,a(X1,X2)) ),
inference(paramodulation,[status(thm)],[f59,f51]) ).
fof(f189,plain,
! [X0] :
( mem(X0,a(m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e)))))),a(s(n(e)),n(n(e)))))
| ~ mem(X0,a(m(p(u(n(e),n(s(n(e))))),n(p(s(n(e))))),a(s(n(e)),n(n(e))))) ),
inference(resolution,[status(thm)],[f32,f172]) ).
fof(f190,plain,
! [X0,X1,X2] :
( mem(sK0_skl(X2,u(X0,X1)),X1)
| mem(sK0_skl(X2,u(X0,X1)),X0)
| subq(u(X0,X1),X2) ),
inference(resolution,[status(thm)],[f33,f51]) ).
fof(f197,plain,
! [X0] :
( subq(X0,X0)
| subq(X0,X0) ),
inference(resolution,[status(thm)],[f34,f33]) ).
fof(f201,plain,
! [X0,X1,X2] :
( ~ mem(sK0_skl(u(X1,X2),X0),X2)
| subq(X0,u(X1,X2)) ),
inference(resolution,[status(thm)],[f34,f53]) ).
fof(f202,plain,
! [X0,X1,X2] :
( ~ mem(sK0_skl(u(X1,X2),X0),X1)
| subq(X0,u(X1,X2)) ),
inference(resolution,[status(thm)],[f34,f52]) ).
fof(f204,plain,
! [X0] : subq(X0,X0),
inference(duplicate_literals_removal,[status(thm)],[f197]) ).
fof(f205,plain,
! [X0] :
( subq(X0,a(m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e)))))),a(s(n(e)),n(n(e)))))
| ~ mem(sK0_skl(a(m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e)))))),a(s(n(e)),n(n(e)))),X0),a(m(p(u(n(e),n(s(n(e))))),n(p(s(n(e))))),a(s(n(e)),n(n(e))))) ),
inference(resolution,[status(thm)],[f189,f34]) ).
fof(f207,plain,
! [X0] :
( ~ mem(sK0_skl(a(m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e)))))),a(s(n(e)),n(n(e)))),X0),m(p(u(n(e),n(s(n(e))))),n(p(s(n(e))))))
| subq(X0,a(m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e)))))),a(s(n(e)),n(n(e))))) ),
inference(resolution,[status(thm)],[f205,f176]) ).
fof(f209,plain,
( subq(m(p(u(n(e),n(s(n(e))))),n(p(s(n(e))))),a(m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e)))))),a(s(n(e)),n(n(e)))))
| subq(m(p(u(n(e),n(s(n(e))))),n(p(s(n(e))))),a(m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e)))))),a(s(n(e)),n(n(e))))) ),
inference(resolution,[status(thm)],[f207,f33]) ).
fof(f211,plain,
subq(m(p(u(n(e),n(s(n(e))))),n(p(s(n(e))))),a(m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e)))))),a(s(n(e)),n(n(e))))),
inference(duplicate_literals_removal,[status(thm)],[f209]) ).
fof(f212,plain,
! [X0] :
( mem(X0,a(m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e)))))),a(s(n(e)),n(n(e)))))
| ~ mem(X0,m(p(u(n(e),n(s(n(e))))),n(p(s(n(e)))))) ),
inference(resolution,[status(thm)],[f211,f32]) ).
fof(f250,plain,
! [X0] :
( ~ mem(X0,m(p(u(n(e),n(s(n(e))))),n(p(s(n(e))))))
| mem(X0,s(a(s(n(e)),n(n(e)))))
| mem(X0,m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e))))))) ),
inference(resolution,[status(thm)],[f183,f212]) ).
fof(f254,plain,
! [X0,X1] :
( mem(X0,s(X1))
| mem(X0,X1)
| ~ mem(X0,n(X1)) ),
inference(paramodulation,[status(thm)],[f60,f183]) ).
fof(f263,plain,
! [X0] :
( subq(u(X0,X0),X0)
| subq(u(X0,X0),X0) ),
inference(resolution,[status(thm)],[f190,f34]) ).
fof(f304,plain,
! [X0] : subq(u(X0,X0),X0),
inference(duplicate_literals_removal,[status(thm)],[f263]) ).
fof(f330,plain,
! [X0] :
( X0 = u(X0,X0)
| ~ subq(X0,u(X0,X0)) ),
inference(resolution,[status(thm)],[f304,f36]) ).
fof(f378,plain,
! [X0] :
( ~ mem(X0,u(s(n(e)),n(p(s(n(e))))))
| ~ mem(X0,m(p(u(n(e),n(s(n(e))))),n(p(s(n(e))))))
| mem(X0,s(a(s(n(e)),n(n(e))))) ),
inference(resolution,[status(thm)],[f250,f57]) ).
fof(f387,plain,
! [X0] :
( mem(X0,n(p(s(n(e)))))
| ~ mem(X0,p(u(n(e),n(s(n(e))))))
| ~ mem(X0,u(s(n(e)),n(p(s(n(e))))))
| mem(X0,s(a(s(n(e)),n(n(e))))) ),
inference(resolution,[status(thm)],[f378,f58]) ).
fof(f395,plain,
! [X0] :
( ~ subq(X0,u(n(e),n(s(n(e)))))
| mem(X0,n(p(s(n(e)))))
| ~ mem(X0,u(s(n(e)),n(p(s(n(e))))))
| mem(X0,s(a(s(n(e)),n(n(e))))) ),
inference(resolution,[status(thm)],[f387,f64]) ).
fof(f615,plain,
! [X0,X1] :
( X0 = X1
| mem(X0,X1)
| ~ mem(X0,n(X1)) ),
inference(resolution,[status(thm)],[f254,f47]) ).
fof(f734,plain,
! [X0,X1] :
( subq(X0,u(X1,X0))
| subq(X0,u(X1,X0)) ),
inference(resolution,[status(thm)],[f201,f33]) ).
fof(f753,plain,
! [X0] : X0 = u(X0,X0),
inference(backward_subsumption_resolution,[status(thm)],[f330,f754]) ).
fof(f754,plain,
! [X0,X1] : subq(X0,u(X1,X0)),
inference(duplicate_literals_removal,[status(thm)],[f734]) ).
fof(f1038,plain,
! [X0,X1] :
( subq(u(X0,X0),u(X0,X1))
| subq(u(X0,X0),u(X0,X1)) ),
inference(resolution,[status(thm)],[f202,f190]) ).
fof(f1061,plain,
! [X0,X1] :
( subq(u(X0,X0),u(X0,X1))
| subq(X0,u(X0,X1)) ),
inference(forward_demodulation,[status(thm)],[f753,f1038]) ).
fof(f1062,plain,
! [X0,X1] :
( subq(X0,u(X0,X1))
| subq(X0,u(X0,X1)) ),
inference(forward_demodulation,[status(thm)],[f753,f1061]) ).
fof(f1063,plain,
! [X0,X1] : subq(X0,u(X0,X1)),
inference(duplicate_literals_removal,[status(thm)],[f1062]) ).
fof(f1183,plain,
( mem(n(e),n(p(s(n(e)))))
| ~ mem(n(e),u(s(n(e)),n(p(s(n(e))))))
| mem(n(e),s(a(s(n(e)),n(n(e))))) ),
inference(resolution,[status(thm)],[f1063,f395]) ).
fof(f1216,plain,
( ~ mem(n(e),s(n(e)))
| mem(n(e),n(p(s(n(e)))))
| mem(n(e),s(a(s(n(e)),n(n(e))))) ),
inference(resolution,[status(thm)],[f1183,f52]) ).
fof(f1217,plain,
( mem(n(e),n(p(s(n(e)))))
| mem(n(e),s(a(s(n(e)),n(n(e))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f1216,f170]) ).
fof(f1220,plain,
( n(e) = a(s(n(e)),n(n(e)))
| mem(n(e),n(p(s(n(e))))) ),
inference(resolution,[status(thm)],[f1217,f47]) ).
fof(f1221,plain,
( n(e) = p(s(n(e)))
| mem(n(e),p(s(n(e))))
| n(e) = a(s(n(e)),n(n(e))) ),
inference(resolution,[status(thm)],[f1220,f615]) ).
fof(f1227,plain,
( subq(n(e),s(n(e)))
| n(e) = p(s(n(e)))
| n(e) = a(s(n(e)),n(n(e))) ),
inference(resolution,[status(thm)],[f1221,f63]) ).
fof(f1773,plain,
! [X0] :
( mem(X0,s(n(e)))
| ~ mem(X0,n(e))
| n(e) = p(s(n(e)))
| n(e) = a(s(n(e)),n(n(e))) ),
inference(resolution,[status(thm)],[f1227,f32]) ).
fof(f1791,plain,
! [X0] :
( X0 = n(e)
| ~ mem(X0,n(e))
| n(e) = p(s(n(e)))
| n(e) = a(s(n(e)),n(n(e))) ),
inference(resolution,[status(thm)],[f1773,f47]) ).
fof(f1815,plain,
( e = n(e)
| n(e) = p(s(n(e)))
| n(e) = a(s(n(e)),n(n(e))) ),
inference(resolution,[status(thm)],[f1791,f180]) ).
fof(f1862,plain,
( e = n(e)
| n(e) = p(s(n(e)))
| mem(n(n(e)),n(e)) ),
inference(paramodulation,[status(thm)],[f1815,f179]) ).
fof(f1867,plain,
( n(n(e)) = e
| mem(n(n(e)),e)
| e = n(e)
| n(e) = p(s(n(e))) ),
inference(resolution,[status(thm)],[f1862,f615]) ).
fof(f1869,plain,
( n(n(e)) = e
| e = n(e)
| n(e) = p(s(n(e))) ),
inference(forward_subsumption_resolution,[status(thm)],[f1867,f44]) ).
fof(f2571,plain,
! [X0] :
( n(n(e)) = e
| e = n(e)
| ~ subq(X0,s(n(e)))
| mem(X0,n(e)) ),
inference(paramodulation,[status(thm)],[f1869,f64]) ).
fof(f2582,plain,
( n(n(e)) = e
| e = n(e)
| mem(s(n(e)),n(e)) ),
inference(resolution,[status(thm)],[f2571,f204]) ).
fof(f2584,plain,
( s(n(e)) = e
| mem(s(n(e)),e)
| n(n(e)) = e
| e = n(e) ),
inference(resolution,[status(thm)],[f2582,f615]) ).
fof(f2587,plain,
( s(n(e)) = e
| n(n(e)) = e
| e = n(e) ),
inference(forward_subsumption_resolution,[status(thm)],[f2584,f44]) ).
fof(f2761,plain,
( n(n(e)) = e
| e = n(e)
| mem(n(e),e) ),
inference(paramodulation,[status(thm)],[f2587,f170]) ).
fof(f2809,plain,
( n(n(e)) = e
| e = n(e) ),
inference(forward_subsumption_resolution,[status(thm)],[f2761,f44]) ).
fof(f2877,plain,
( e = n(e)
| mem(n(e),e) ),
inference(paramodulation,[status(thm)],[f2809,f180]) ).
fof(f3256,plain,
e = n(e),
inference(forward_subsumption_resolution,[status(thm)],[f2877,f44]) ).
fof(f7498,plain,
mem(e,e),
inference(paramodulation,[status(thm)],[f3256,f180]) ).
fof(f7731,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f7498,f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEV566+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n015.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 07:29:36 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 70.61/9.52 % Refutation found
% 70.61/9.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 70.61/9.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.73/9.68 % Elapsed time: 9.229418 seconds
% 2.73/9.68 % CPU time: 72.064587 seconds
% 2.73/9.68 % Total memory used: 464.247 MB
% 2.73/9.68 % Net memory used: 420.526 MB
%------------------------------------------------------------------------------