%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN071-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 03:15:08 PM UTC 2026
% Result : Unsatisfiable 0.09s 1.01s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 7 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( c = d
| a = b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( b = d
| a = c ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
a != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
b != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,plain,
( c = d
| a = b ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f6,plain,
( b = d
| a = c ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f7,plain,
a != d,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f8,plain,
b != c,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,plain,
( a = b
| a != c ),
inference(paramodulation,[status(thm)],[f5,f7]) ).
fof(f10,plain,
( a = b
| b = c
| a = c ),
inference(paramodulation,[status(thm)],[f5,f6]) ).
fof(f13,plain,
( a = b
| a = c ),
inference(forward_subsumption_resolution,[status(thm)],[f10,f8]) ).
fof(f16,plain,
( a = d
| a = c ),
inference(backward_demodulation,[status(thm)],[f19,f6]) ).
fof(f18,plain,
a != c,
inference(backward_demodulation,[status(thm)],[f19,f8]) ).
fof(f19,plain,
a = b,
inference(forward_subsumption_resolution,[status(thm)],[f13,f9]) ).
fof(f20,plain,
a = c,
inference(forward_subsumption_resolution,[status(thm)],[f16,f7]) ).
fof(f21,plain,
a != a,
inference(forward_demodulation,[status(thm)],[f20,f18]) ).
fof(f22,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN071-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.98 % Computer : n026.cluster.edu
% 0.09/0.98 % Model : x86_64 x86_64
% 0.09/0.98 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.98 % Memory : 8046.5625MB
% 0.09/0.98 % OS : Linux 6.8.0-71-generic
% 0.09/0.98 % CPULimit : 300
% 0.09/0.98 % WCLimit : 300
% 0.09/0.98 % DateTime : Mon Sep 21 10:45:09 UTC 2026
% 0.09/0.98 % CPUTime :
% 0.09/0.99 % Drodi V4.1.1
% 0.09/1.01 % Refutation found
% 0.09/1.01 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/1.01 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/1.04 % Elapsed time: 0.049660 seconds
% 0.09/1.04 % CPU time: 0.132505 seconds
% 0.09/1.04 % Total memory used: 69.604 MB
% 0.09/1.04 % Net memory used: 69.062 MB
%------------------------------------------------------------------------------