%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN345-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 03:15:49 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.32s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 16
% Syntax : Number of formulae : 53 ( 1 unt; 8 def)
% Number of atoms : 140 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 155 ( 68 ~; 79 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 9 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 59 ( 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [Y1] :
( f(a,b,b)
| ~ f(a,a,b)
| f(a,b,Y1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [Y2,Y1] :
( f(a,b,b)
| ~ f(a,a,b)
| ~ f(Y2,Y1,z(Y1,Y2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [Y1,Y2] :
( ~ f(a,b,b)
| f(a,a,b)
| f(b,Y1,Y2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [Y1,Y2] :
( ~ f(a,b,b)
| f(a,a,b)
| ~ f(Y1,z(Y1,Y2),z(Y1,Y2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [Y1,Y2] :
( f(a,b,b)
| f(a,a,b)
| f(Y1,Y2,z(Y1,Y2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [Y1,Y2] :
( ~ f(a,b,b)
| ~ f(a,a,b)
| f(Y1,Y2,z(Y1,Y2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [Y1] :
( f(a,b,b)
| f(a,a,b)
| ~ f(b,b,Y1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [Y1] :
( ~ f(a,b,b)
| ~ f(a,a,b)
| ~ f(b,b,Y1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,plain,
( f(a,b,b)
| ~ f(a,a,b)
| ! [Y1] : f(a,b,Y1) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f10,plain,
! [X0] :
( f(a,b,b)
| ~ f(a,a,b)
| f(a,b,X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
( f(a,b,b)
| ~ f(a,a,b)
| ! [Y2,Y1] : ~ f(Y2,Y1,z(Y1,Y2)) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f12,plain,
! [X0,X1] :
( f(a,b,b)
| ~ f(a,a,b)
| ~ f(X0,X1,z(X1,X0)) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f13,plain,
( ~ f(a,b,b)
| f(a,a,b)
| ! [Y1,Y2] : f(b,Y1,Y2) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f14,plain,
! [X0,X1] :
( ~ f(a,b,b)
| f(a,a,b)
| f(b,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
( ~ f(a,b,b)
| f(a,a,b)
| ! [Y1,Y2] : ~ f(Y1,z(Y1,Y2),z(Y1,Y2)) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f16,plain,
! [X0,X1] :
( ~ f(a,b,b)
| f(a,a,b)
| ~ f(X0,z(X0,X1),z(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f17,plain,
( f(a,b,b)
| f(a,a,b)
| ! [Y1,Y2] : f(Y1,Y2,z(Y1,Y2)) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f18,plain,
! [X0,X1] :
( f(a,b,b)
| f(a,a,b)
| f(X0,X1,z(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
( ~ f(a,b,b)
| ~ f(a,a,b)
| ! [Y1,Y2] : f(Y1,Y2,z(Y1,Y2)) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f20,plain,
! [X0,X1] :
( ~ f(a,b,b)
| ~ f(a,a,b)
| f(X0,X1,z(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f21,plain,
( f(a,b,b)
| f(a,a,b)
| ! [Y1] : ~ f(b,b,Y1) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f22,plain,
! [X0] :
( f(a,b,b)
| f(a,a,b)
| ~ f(b,b,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f23,plain,
( ~ f(a,b,b)
| ~ f(a,a,b)
| ! [Y1] : ~ f(b,b,Y1) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f24,plain,
! [X0] :
( ~ f(a,b,b)
| ~ f(a,a,b)
| ~ f(b,b,X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,definition,
! [X0] :
( sQ0_spl
<=> f(a,b,X0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f26,plain,
! [X0] :
( ~ sQ0_spl
| f(a,b,X0) ),
inference(component_clause,[status(thm)],[f25]) ).
fof(f28,definition,
( sQ1_spl
<=> f(a,a,b) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f31,definition,
( sQ2_spl
<=> f(a,b,b) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f34,plain,
( sQ2_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f10,f25,f28,f31]) ).
fof(f35,definition,
! [X0,X1] :
( sQ3_spl
<=> ~ f(X0,X1,z(X1,X0)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f36,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ f(X0,X1,z(X1,X0)) ),
inference(component_clause,[status(thm)],[f35]) ).
fof(f38,plain,
( sQ2_spl
| ~ sQ1_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f12,f35,f28,f31]) ).
fof(f39,definition,
! [X0,X1] :
( sQ4_spl
<=> f(b,X0,X1) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f40,plain,
! [X0,X1] :
( ~ sQ4_spl
| f(b,X0,X1) ),
inference(component_clause,[status(thm)],[f39]) ).
fof(f42,plain,
( ~ sQ2_spl
| sQ1_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f14,f39,f28,f31]) ).
fof(f43,definition,
! [X0,X1] :
( sQ5_spl
<=> ~ f(X0,z(X0,X1),z(X0,X1)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f44,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ f(X0,z(X0,X1),z(X0,X1)) ),
inference(component_clause,[status(thm)],[f43]) ).
fof(f46,plain,
( ~ sQ2_spl
| sQ1_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f16,f43,f28,f31]) ).
fof(f47,definition,
! [X0,X1] :
( sQ6_spl
<=> f(X0,X1,z(X0,X1)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f48,plain,
! [X0,X1] :
( ~ sQ6_spl
| f(X0,X1,z(X0,X1)) ),
inference(component_clause,[status(thm)],[f47]) ).
fof(f50,plain,
( sQ2_spl
| sQ1_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f18,f47,f28,f31]) ).
fof(f51,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f20,f47,f28,f31]) ).
fof(f52,definition,
! [X0] :
( sQ7_spl
<=> ~ f(b,b,X0) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f53,plain,
! [X0] :
( ~ sQ7_spl
| ~ f(b,b,X0) ),
inference(component_clause,[status(thm)],[f52]) ).
fof(f55,plain,
( sQ2_spl
| sQ1_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f22,f52,f28,f31]) ).
fof(f56,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f24,f52,f28,f31]) ).
fof(f59,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| $false ),
inference(resolution,[status(thm)],[f36,f26]) ).
fof(f60,plain,
( ~ sQ0_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f59]) ).
fof(f61,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| $false ),
inference(resolution,[status(thm)],[f44,f40]) ).
fof(f62,plain,
( ~ sQ4_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f61]) ).
fof(f63,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(resolution,[status(thm)],[f48,f53]) ).
fof(f64,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f63]) ).
fof(f65,plain,
$false,
inference(sat_refutation,[status(thm)],[f34,f38,f42,f46,f50,f51,f55,f56,f60,f62,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN345-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 21 10:50:21 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.03/0.32 % Refutation found
% 0.03/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.33 % Elapsed time: 0.030467 seconds
% 0.07/0.33 % CPU time: 0.060416 seconds
% 0.07/0.33 % Total memory used: 16.613 MB
% 0.07/0.33 % Net memory used: 16.127 MB
%------------------------------------------------------------------------------