%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN071+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 : Theorem 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 8 ~; 11 |; 1 &)
% ( 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,conjecture,
( b = c
| a = d ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ ( b = c
| a = d ),
inference(negated_conjecture,[status(cth)],[f3]) ).
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,
( b != c
& a != d ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
a != d,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,plain,
b != c,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f10,plain,
( a = b
| a != c ),
inference(paramodulation,[status(thm)],[f5,f8]) ).
fof(f11,plain,
( a = b
| b = c
| a = c ),
inference(paramodulation,[status(thm)],[f5,f6]) ).
fof(f14,plain,
( a = b
| a = c ),
inference(forward_subsumption_resolution,[status(thm)],[f11,f9]) ).
fof(f17,plain,
( a = d
| a = c ),
inference(backward_demodulation,[status(thm)],[f20,f6]) ).
fof(f19,plain,
a != c,
inference(backward_demodulation,[status(thm)],[f20,f9]) ).
fof(f20,plain,
a = b,
inference(forward_subsumption_resolution,[status(thm)],[f14,f10]) ).
fof(f21,plain,
a = c,
inference(forward_subsumption_resolution,[status(thm)],[f17,f8]) ).
fof(f22,plain,
a != a,
inference(forward_demodulation,[status(thm)],[f21,f19]) ).
fof(f23,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN071+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 10:44:01 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.051929 seconds
% 0.14/0.42 % CPU time: 0.147299 seconds
% 0.14/0.42 % Total memory used: 79.546 MB
% 0.14/0.42 % Net memory used: 78.964 MB
%------------------------------------------------------------------------------