%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN347-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 03:15:50 PM UTC 2026
% Result : Unsatisfiable 0.08s 10.40s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of formulae : 48 ( 1 unt; 7 def)
% Number of atoms : 128 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 146 ( 66 ~; 73 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 8 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X1,X2] :
( f(a,b)
| ~ f(X2,y(X1,X2))
| f(X1,y(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X1,X2] :
( f(a,b)
| f(X2,y(X1,X2))
| ~ f(X1,y(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X1,X2] :
( ~ f(a,b)
| ~ f(X2,y(X1,X2))
| ~ f(X1,y(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X1,X2] :
( ~ f(a,b)
| f(X2,y(X1,X2))
| f(X1,y(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X1,X2] :
( f(b,y(X1,X2))
| f(a,y(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X1,X2] :
( ~ f(b,y(X1,X2))
| ~ f(a,y(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
( f(a,b)
| ! [X1,X2] :
( ~ f(X2,y(X1,X2))
| f(X1,y(X1,X2)) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0,X1] :
( f(a,b)
| ~ f(X1,y(X0,X1))
| f(X0,y(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,plain,
( f(a,b)
| ! [X1,X2] :
( f(X2,y(X1,X2))
| ~ f(X1,y(X1,X2)) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0,X1] :
( f(a,b)
| f(X1,y(X0,X1))
| ~ f(X0,y(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
( ~ f(a,b)
| ! [X1,X2] :
( ~ f(X2,y(X1,X2))
| ~ f(X1,y(X1,X2)) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0,X1] :
( ~ f(a,b)
| ~ f(X1,y(X0,X1))
| ~ f(X0,y(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f13,plain,
( ~ f(a,b)
| ! [X1,X2] :
( f(X2,y(X1,X2))
| f(X1,y(X1,X2)) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f14,plain,
! [X0,X1] :
( ~ f(a,b)
| f(X1,y(X0,X1))
| f(X0,y(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
! [X0,X1] :
( f(b,y(X0,X1))
| f(a,y(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,plain,
! [X0,X1] :
( ~ f(b,y(X0,X1))
| ~ f(a,y(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f17,definition,
! [X0,X1] :
( sQ0_spl
<=> ( ~ f(X1,y(X0,X1))
| f(X0,y(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f18,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ f(X1,y(X0,X1))
| f(X0,y(X0,X1)) ),
inference(component_clause,[status(thm)],[f17]) ).
fof(f20,definition,
( sQ1_spl
<=> f(a,b) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f23,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f8,f17,f20]) ).
fof(f24,definition,
! [X0,X1] :
( sQ2_spl
<=> ( f(X1,y(X0,X1))
| ~ f(X0,y(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f25,plain,
! [X0,X1] :
( ~ sQ2_spl
| f(X1,y(X0,X1))
| ~ f(X0,y(X0,X1)) ),
inference(component_clause,[status(thm)],[f24]) ).
fof(f27,plain,
( sQ1_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f10,f24,f20]) ).
fof(f28,definition,
! [X0,X1] :
( sQ3_spl
<=> ( ~ f(X1,y(X0,X1))
| ~ f(X0,y(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f29,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ f(X1,y(X0,X1))
| ~ f(X0,y(X0,X1)) ),
inference(component_clause,[status(thm)],[f28]) ).
fof(f31,plain,
( ~ sQ1_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f12,f28,f20]) ).
fof(f32,definition,
! [X0,X1] :
( sQ4_spl
<=> ( f(X1,y(X0,X1))
| f(X0,y(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f33,plain,
! [X0,X1] :
( ~ sQ4_spl
| f(X1,y(X0,X1))
| f(X0,y(X0,X1)) ),
inference(component_clause,[status(thm)],[f32]) ).
fof(f35,plain,
( ~ sQ1_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f14,f32,f20]) ).
fof(f36,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ3_spl
| ~ f(X0,y(X0,X0)) ),
inference(resolution,[status(thm)],[f29,f33]) ).
fof(f40,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| $false ),
inference(resolution,[status(thm)],[f36,f33]) ).
fof(f44,plain,
( ~ sQ4_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f40]) ).
fof(f45,plain,
! [X0] :
( ~ sQ0_spl
| ~ f(X0,y(a,X0))
| ~ f(b,y(a,X0)) ),
inference(resolution,[status(thm)],[f16,f18]) ).
fof(f48,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| ~ f(a,y(a,b))
| ~ f(b,y(a,b)) ),
inference(resolution,[status(thm)],[f45,f25]) ).
fof(f49,definition,
( sQ5_spl
<=> f(b,y(a,b)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f50,plain,
( ~ sQ5_spl
| f(b,y(a,b)) ),
inference(component_clause,[status(thm)],[f49]) ).
fof(f51,plain,
( sQ5_spl
| ~ f(b,y(a,b)) ),
inference(component_clause,[status(thm)],[f49]) ).
fof(f52,definition,
( sQ6_spl
<=> f(a,y(a,b)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f54,plain,
( sQ6_spl
| ~ f(a,y(a,b)) ),
inference(component_clause,[status(thm)],[f52]) ).
fof(f55,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f48,f49,f52,f17,f24]) ).
fof(f63,plain,
( sQ5_spl
| f(a,y(a,b)) ),
inference(resolution,[status(thm)],[f51,f15]) ).
fof(f66,plain,
( sQ5_spl
| ~ sQ2_spl
| f(b,y(a,b)) ),
inference(resolution,[status(thm)],[f25,f63]) ).
fof(f68,plain,
( sQ5_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f66,f51]) ).
fof(f69,plain,
( sQ5_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f68]) ).
fof(f70,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| f(a,y(a,b)) ),
inference(resolution,[status(thm)],[f50,f18]) ).
fof(f71,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f70,f54]) ).
fof(f72,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f71]) ).
fof(f73,plain,
$false,
inference(sat_refutation,[status(thm)],[f23,f27,f31,f35,f44,f55,f69,f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN347-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/10.37 % Computer : n009.cluster.edu
% 0.08/10.37 % Model : x86_64 x86_64
% 0.08/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.37 % Memory : 8046.5625MB
% 0.08/10.37 % OS : Linux 6.8.0-71-generic
% 0.08/10.37 % CPULimit : 300
% 0.08/10.37 % WCLimit : 300
% 0.08/10.37 % DateTime : Mon Sep 21 10:51:08 UTC 2026
% 0.08/10.37 % CPUTime :
% 0.08/10.38 % Drodi V4.1.1
% 0.08/10.40 % Refutation found
% 0.08/10.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/10.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/10.41 % Elapsed time: 0.038930 seconds
% 0.13/10.41 % CPU time: 0.115285 seconds
% 0.13/10.41 % Total memory used: 16.564 MB
% 0.13/10.41 % Net memory used: 16.030 MB
%------------------------------------------------------------------------------