%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYO629-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 03:42:51 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 13 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 66 ( 33 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [E,A_3] : ~ 'E'(f(A_3),f(g(A_3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A_3] : iLEQ(A_3,A_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [E,A_3] :
( 'E'(f(A_3),f(g(A_3)))
| ~ 'E'('0',f(g(A_3)))
| ~ 'E'('0',f(A_3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [E,A,LE] :
( 'LE'(f(A),s('0'))
| 'E'(s('0'),f(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [LE,A_3] : ~ 'LE'(f(A_3),'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [LE,A_1,B_0,E] :
( 'LE'(f(B_0),'0')
| 'E'('0',f(B_0))
| ~ iLEQ(A_1,B_0)
| ~ 'LE'(f(A_1),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [E,A_2] :
( 'E'(f(A_2),f(g(A_2)))
| ~ 'E'(s('0'),f(g(A_2)))
| ~ 'E'(s('0'),f(A_2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A_3] : iLEQ(A_3,g(A_3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,plain,
! [A_3] : ~ 'E'(f(A_3),f(g(A_3))),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f14,plain,
! [E,X0] : ~ 'E'(f(X0),f(g(X0))),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
! [X0] : iLEQ(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f16,plain,
! [A_3] :
( 'E'(f(A_3),f(g(A_3)))
| ~ 'E'('0',f(g(A_3)))
| ~ 'E'('0',f(A_3)) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f17,plain,
! [E,X0] :
( 'E'(f(X0),f(g(X0)))
| ~ 'E'('0',f(g(X0)))
| ~ 'E'('0',f(X0)) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f18,plain,
! [A] :
( 'LE'(f(A),s('0'))
| 'E'(s('0'),f(A)) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f19,plain,
! [E,X0,LE] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(X0)) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f20,plain,
! [A_3] : ~ 'LE'(f(A_3),'0'),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f21,plain,
! [LE,X0] : ~ 'LE'(f(X0),'0'),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f22,plain,
! [B_0] :
( 'LE'(f(B_0),'0')
| 'E'('0',f(B_0))
| ! [A_1] :
( ~ iLEQ(A_1,B_0)
| ~ 'LE'(f(A_1),s('0')) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f23,plain,
! [LE,X0,X1,E] :
( 'LE'(f(X1),'0')
| 'E'('0',f(X1))
| ~ iLEQ(X0,X1)
| ~ 'LE'(f(X0),s('0')) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
! [A_2] :
( 'E'(f(A_2),f(g(A_2)))
| ~ 'E'(s('0'),f(g(A_2)))
| ~ 'E'(s('0'),f(A_2)) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f25,plain,
! [E,X0] :
( 'E'(f(X0),f(g(X0)))
| ~ 'E'(s('0'),f(g(X0)))
| ~ 'E'(s('0'),f(X0)) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f28,plain,
! [X0] : iLEQ(X0,g(X0)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f33,plain,
! [E,X0] :
( ~ 'E'('0',f(g(X0)))
| ~ 'E'('0',f(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f17,f14]) ).
fof(f34,plain,
! [LE,X0,X1,E] :
( 'E'('0',f(X1))
| ~ iLEQ(X0,X1)
| ~ 'LE'(f(X0),s('0')) ),
inference(forward_subsumption_resolution,[status(thm)],[f23,f21]) ).
fof(f35,plain,
! [X0,X1,E] :
( 'E'(s('0'),f(X0))
| 'E'('0',f(X1))
| ~ iLEQ(X0,X1) ),
inference(resolution,[status(thm)],[f34,f19]) ).
fof(f36,plain,
! [E,X0] :
( ~ 'E'(s('0'),f(g(X0)))
| ~ 'E'(s('0'),f(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f25,f14]) ).
fof(f37,plain,
! [E,X0] :
( 'E'(s('0'),f(X0))
| 'E'('0',f(g(X0))) ),
inference(resolution,[status(thm)],[f35,f28]) ).
fof(f38,plain,
! [E,X0] :
( 'E'(s('0'),f(X0))
| 'E'('0',f(X0)) ),
inference(resolution,[status(thm)],[f35,f15]) ).
fof(f39,plain,
! [E,X0] :
( ~ 'E'(s('0'),f(X0))
| 'E'('0',f(g(X0))) ),
inference(resolution,[status(thm)],[f38,f36]) ).
fof(f41,plain,
! [E,X0] : ~ 'E'('0',f(X0)),
inference(backward_subsumption_resolution,[status(thm)],[f33,f42]) ).
fof(f42,plain,
! [E,X0] : 'E'('0',f(g(X0))),
inference(forward_subsumption_resolution,[status(thm)],[f39,f37]) ).
fof(f47,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f42,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO629-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 12:05:20 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.026834 seconds
% 0.13/0.39 % CPU time: 0.067064 seconds
% 0.13/0.39 % Total memory used: 1.272 MB
% 0.13/0.39 % Net memory used: 1.239 MB
%------------------------------------------------------------------------------