%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN072-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 10 unt; 3 def)
% Number of atoms : 73 ( 39 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 59 ( 19 ~; 37 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( X = d
| X = c ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
big_p(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
big_p(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ big_p(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0] :
( X0 = d
| X0 = c ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
big_p(a),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
big_p(b),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f9,plain,
a != b,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
~ big_p(e),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f11,plain,
! [X0,X1] :
( X1 = c
| X0 = X1
| X0 = c ),
inference(paramodulation,[status(thm)],[f6,f6]) ).
fof(f23,plain,
! [X0,X1,X2,X3] :
( X3 = X2
| X3 = c
| X1 = X2
| X0 = X1
| X0 = c ),
inference(paramodulation,[status(thm)],[f11,f11]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( c = X0
| X3 != X0
| X3 = X2
| X1 = X2
| X0 = X1 ),
inference(equality_factoring,[status(thm)],[f23]) ).
fof(f76,plain,
! [X0,X1,X2] :
( c = X0
| X0 = X2
| X1 = X2
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f57]) ).
fof(f166,plain,
! [X0] :
( c = a
| X0 = b
| a = X0 ),
inference(resolution,[status(thm)],[f76,f9]) ).
fof(f168,plain,
! [X0] :
( c = b
| X0 = a
| b = X0 ),
inference(resolution,[status(thm)],[f76,f9]) ).
fof(f185,definition,
( sQ13_spl
<=> c = a ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( ~ sQ13_spl
| c = a ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f194,definition,
( sQ15_spl
<=> c = b ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ15_spl
| c = b ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f202,definition,
! [X0] :
( sQ17_spl
<=> ( X0 = b
| a = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f203,plain,
! [X0] :
( ~ sQ17_spl
| X0 = b
| a = X0 ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,plain,
( sQ13_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f166,f202,f185]) ).
fof(f207,plain,
( sQ15_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f168,f202,f194]) ).
fof(f216,plain,
( ~ sQ15_spl
| ~ sQ13_spl
| a = b ),
inference(backward_demodulation,[status(thm)],[f186,f195]) ).
fof(f217,plain,
( ~ sQ15_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f216,f9]) ).
fof(f218,plain,
( ~ sQ15_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f217]) ).
fof(f222,plain,
! [X0] :
( ~ sQ17_spl
| a = X0
| big_p(X0) ),
inference(paramodulation,[status(thm)],[f203,f8]) ).
fof(f321,plain,
! [X0] :
( ~ sQ17_spl
| big_p(X0)
| big_p(X0) ),
inference(paramodulation,[status(thm)],[f222,f7]) ).
fof(f322,plain,
! [X0] :
( ~ sQ17_spl
| big_p(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f321]) ).
fof(f323,plain,
( ~ sQ17_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f10,f322]) ).
fof(f324,plain,
~ sQ17_spl,
inference(contradiction_clause,[status(thm)],[f323]) ).
fof(f325,plain,
$false,
inference(sat_refutation,[status(thm)],[f205,f207,f218,f324]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN072-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n007.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 10:40:20 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.46 % Refutation found
% 0.17/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.50 % Elapsed time: 0.067798 seconds
% 0.17/0.50 % CPU time: 0.192774 seconds
% 0.17/0.50 % Total memory used: 67.534 MB
% 0.17/0.50 % Net memory used: 67.090 MB
%------------------------------------------------------------------------------