%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN005-1.010 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 03:14:54 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 19
% Syntax : Number of formulae : 59 ( 26 unt; 8 def)
% Number of atoms : 165 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 214 ( 108 ~; 98 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 9 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 74 ( 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ p_10(X10,X1)
| ~ p_9(X9,X10)
| ~ p_8(X8,X9)
| ~ p_7(X7,X8)
| ~ p_6(X6,X7)
| ~ p_5(X5,X6)
| ~ p_4(X4,X5)
| ~ p_3(X3,X4)
| ~ p_2(X2,X3)
| ~ p_1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
p_1(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
p_2(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
p_3(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p_4(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p_5(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p_6(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
p_7(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
p_8(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
p_9(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
p_10(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X1,X10] :
( ~ p_10(X10,X1)
| ! [X9] :
( ~ p_9(X9,X10)
| ! [X8] :
( ~ p_8(X8,X9)
| ! [X7] :
( ~ p_7(X7,X8)
| ! [X6] :
( ~ p_6(X6,X7)
| ! [X5] :
( ~ p_5(X5,X6)
| ! [X4] :
( ~ p_4(X4,X5)
| ! [X3] :
( ~ p_3(X3,X4)
| ! [X2] :
( ~ p_2(X2,X3)
| ~ p_1(X1,X2) ) ) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ p_10(X9,X0)
| ~ p_9(X8,X9)
| ~ p_8(X7,X8)
| ~ p_7(X6,X7)
| ~ p_6(X5,X6)
| ~ p_5(X4,X5)
| ~ p_4(X3,X4)
| ~ p_3(X2,X3)
| ~ p_2(X1,X2)
| ~ p_1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f14,plain,
p_1(a,a),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f15,plain,
p_2(a,a),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f16,plain,
p_3(a,a),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f17,plain,
p_4(a,a),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f18,plain,
p_5(a,a),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f19,plain,
p_6(a,a),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f20,plain,
p_7(a,a),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f21,plain,
p_8(a,a),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f22,plain,
p_9(a,a),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f23,plain,
p_10(a,a),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f24,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ p_10(X7,a)
| ~ p_9(X6,X7)
| ~ p_8(X5,X6)
| ~ p_7(X4,X5)
| ~ p_6(X3,X4)
| ~ p_5(X2,X3)
| ~ p_4(X1,X2)
| ~ p_3(X0,X1)
| ~ p_2(a,X0) ),
inference(resolution,[status(thm)],[f13,f14]) ).
fof(f25,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ p_10(X5,a)
| ~ p_9(X4,X5)
| ~ p_8(X3,X4)
| ~ p_7(X2,X3)
| ~ p_6(X1,X2)
| ~ p_5(X0,X1)
| ~ p_4(a,X0)
| ~ p_2(a,a) ),
inference(resolution,[status(thm)],[f24,f16]) ).
fof(f26,definition,
( sQ0_spl
<=> p_2(a,a) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f28,plain,
( sQ0_spl
| ~ p_2(a,a) ),
inference(component_clause,[status(thm)],[f26]) ).
fof(f29,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ1_spl
<=> ( ~ p_10(X5,a)
| ~ p_9(X4,X5)
| ~ p_8(X3,X4)
| ~ p_7(X2,X3)
| ~ p_6(X1,X2)
| ~ p_5(X0,X1)
| ~ p_4(a,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f30,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ p_10(X5,a)
| ~ p_9(X4,X5)
| ~ p_8(X3,X4)
| ~ p_7(X2,X3)
| ~ p_6(X1,X2)
| ~ p_5(X0,X1)
| ~ p_4(a,X0) ),
inference(component_clause,[status(thm)],[f29]) ).
fof(f32,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f25,f26,f29]) ).
fof(f33,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f28,f15]) ).
fof(f34,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f33]) ).
fof(f35,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ p_10(X3,a)
| ~ p_9(X2,X3)
| ~ p_8(X1,X2)
| ~ p_7(X0,X1)
| ~ p_6(a,X0)
| ~ p_4(a,a) ),
inference(resolution,[status(thm)],[f30,f18]) ).
fof(f36,definition,
( sQ2_spl
<=> p_4(a,a) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f38,plain,
( sQ2_spl
| ~ p_4(a,a) ),
inference(component_clause,[status(thm)],[f36]) ).
fof(f39,definition,
! [X0,X1,X2,X3] :
( sQ3_spl
<=> ( ~ p_10(X3,a)
| ~ p_9(X2,X3)
| ~ p_8(X1,X2)
| ~ p_7(X0,X1)
| ~ p_6(a,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( ~ sQ3_spl
| ~ p_10(X3,a)
| ~ p_9(X2,X3)
| ~ p_8(X1,X2)
| ~ p_7(X0,X1)
| ~ p_6(a,X0) ),
inference(component_clause,[status(thm)],[f39]) ).
fof(f42,plain,
( ~ sQ1_spl
| sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f35,f36,f39,f29]) ).
fof(f43,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f38,f17]) ).
fof(f44,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ p_10(X1,a)
| ~ p_9(X0,X1)
| ~ p_8(a,X0)
| ~ p_6(a,a) ),
inference(resolution,[status(thm)],[f40,f20]) ).
fof(f46,definition,
( sQ4_spl
<=> p_6(a,a) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f48,plain,
( sQ4_spl
| ~ p_6(a,a) ),
inference(component_clause,[status(thm)],[f46]) ).
fof(f49,definition,
! [X0,X1] :
( sQ5_spl
<=> ( ~ p_10(X1,a)
| ~ p_9(X0,X1)
| ~ p_8(a,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f50,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ p_10(X1,a)
| ~ p_9(X0,X1)
| ~ p_8(a,X0) ),
inference(component_clause,[status(thm)],[f49]) ).
fof(f52,plain,
( ~ sQ3_spl
| sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f45,f46,f49,f39]) ).
fof(f53,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f48,f19]) ).
fof(f54,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f53]) ).
fof(f55,plain,
( ~ sQ5_spl
| ~ p_10(a,a)
| ~ p_8(a,a) ),
inference(resolution,[status(thm)],[f50,f22]) ).
fof(f56,definition,
( sQ6_spl
<=> p_8(a,a) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f58,plain,
( sQ6_spl
| ~ p_8(a,a) ),
inference(component_clause,[status(thm)],[f56]) ).
fof(f59,definition,
( sQ7_spl
<=> p_10(a,a) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f61,plain,
( sQ7_spl
| ~ p_10(a,a) ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f62,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f55,f56,f59,f49]) ).
fof(f63,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f58,f21]) ).
fof(f64,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f63]) ).
fof(f65,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f61,f23]) ).
fof(f66,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f65]) ).
fof(f67,plain,
$false,
inference(sat_refutation,[status(thm)],[f32,f34,f42,f44,f52,f54,f62,f64,f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN005-1.010 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 10:43:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.043572 seconds
% 0.14/0.42 % CPU time: 0.137430 seconds
% 0.14/0.42 % Total memory used: 55.643 MB
% 0.14/0.42 % Net memory used: 55.214 MB
%------------------------------------------------------------------------------