%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN713-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 03:17:08 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.61s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of formulae : 56 ( 19 unt; 5 def)
% Number of atoms : 113 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 112 ( 55 ~; 52 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 6 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 15 con; 0-2 aty)
% Number of variables : 72 ( 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X210] : p9(X210,X210),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X129] : p40(X129,X129),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [X7] : p12(X7,X7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
p59(f38(c72,c77),f35(c73,c68)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
p56(f11(c65,f14(f17(c66,c67),c68)),c64),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
~ p57(f26(f28(c71,f41(c78,c64)),c67),c77),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,negated_conjecture,
! [X186,X187,X188] :
( ~ p57(f26(X186,X187),X188)
| p57(f26(f28(c71,X186),X187),X188) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f76,negated_conjecture,
! [X175,X176,X178,X177] :
( ~ p4(X177,X175)
| ~ p56(X177,X178)
| ~ p40(X178,X176)
| p56(X175,X176) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,negated_conjecture,
~ p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,negated_conjecture,
! [X3,X4,X5,X6] :
( ~ p13(X4,X6)
| ~ p12(X3,X5)
| p10(f14(X3,X4),f14(X5,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f87,negated_conjecture,
! [X121,X122,X123,X124] :
( ~ p9(X121,X123)
| ~ p10(X122,X124)
| p4(f11(X121,X122),f11(X123,X124)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f101,negated_conjecture,
! [X181,X179,X180] :
( ~ p56(f11(c65,f14(f17(c66,X179),f23(c74,X180))),X181)
| p57(f26(f41(c78,X181),X179),X180) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f105,negated_conjecture,
! [X17,X18] :
( ~ p59(f38(c72,X18),f35(c73,X17))
| p58(f31(f33(c75,c76),f23(c69,X18)),f19(f22(c70,c69),X17))
| p13(X17,f23(c74,X18)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f107,plain,
! [X0] : p9(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f119,plain,
! [X0] : p40(X0,X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f139,plain,
! [X0] : p12(X0,X0),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f140,plain,
p59(f38(c72,c77),f35(c73,c68)),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f143,plain,
p56(f11(c65,f14(f17(c66,c67),c68)),c64),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f144,plain,
~ p57(f26(f28(c71,f41(c78,c64)),c67),c77),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f213,plain,
! [X0,X1,X2] :
( ~ p57(f26(X0,X1),X2)
| p57(f26(f28(c71,X0),X1),X2) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f216,plain,
! [X175,X177] :
( ~ p4(X177,X175)
| ! [X178] :
( ~ p56(X177,X178)
| ! [X176] :
( ~ p40(X178,X176)
| p56(X175,X176) ) ) ),
inference(miniscoping,[status(thm)],[f76]) ).
fof(f217,plain,
! [X0,X1,X2,X3] :
( ~ p4(X3,X0)
| ~ p56(X3,X2)
| ~ p40(X2,X1)
| p56(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f224,plain,
~ p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f225,plain,
! [X4,X6] :
( ~ p13(X4,X6)
| ! [X3,X5] :
( ~ p12(X3,X5)
| p10(f14(X3,X4),f14(X5,X6)) ) ),
inference(miniscoping,[status(thm)],[f81]) ).
fof(f226,plain,
! [X0,X1,X2,X3] :
( ~ p13(X1,X3)
| ~ p12(X0,X2)
| p10(f14(X0,X1),f14(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f237,plain,
! [X121,X123] :
( ~ p9(X121,X123)
| ! [X122,X124] :
( ~ p10(X122,X124)
| p4(f11(X121,X122),f11(X123,X124)) ) ),
inference(miniscoping,[status(thm)],[f87]) ).
fof(f238,plain,
! [X0,X1,X2,X3] :
( ~ p9(X0,X2)
| ~ p10(X1,X3)
| p4(f11(X0,X1),f11(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f265,plain,
! [X0,X1,X2] :
( ~ p56(f11(c65,f14(f17(c66,X1),f23(c74,X2))),X0)
| p57(f26(f41(c78,X0),X1),X2) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f269,plain,
! [X0,X1] :
( ~ p59(f38(c72,X1),f35(c73,X0))
| p58(f31(f33(c75,c76),f23(c69,X1)),f19(f22(c70,c69),X0))
| p13(X0,f23(c74,X1)) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f270,plain,
! [X0,X1,X2,X3,X4] :
( ~ p4(X4,f11(c65,f14(f17(c66,X1),f23(c74,X2))))
| ~ p56(X4,X3)
| ~ p40(X3,X0)
| p57(f26(f41(c78,X0),X1),X2) ),
inference(resolution,[status(thm)],[f265,f217]) ).
fof(f272,plain,
! [X0,X1,X2,X3] :
( ~ p4(X3,f11(c65,f14(f17(c66,X1),f23(c74,X2))))
| ~ p56(X3,X0)
| p57(f26(f41(c78,X0),X1),X2) ),
inference(resolution,[status(thm)],[f270,f119]) ).
fof(f274,plain,
! [X0,X1,X2,X3] :
( p57(f26(f28(c71,f41(c78,X1)),X2),X3)
| ~ p4(X0,f11(c65,f14(f17(c66,X2),f23(c74,X3))))
| ~ p56(X0,X1) ),
inference(resolution,[status(thm)],[f272,f213]) ).
fof(f276,plain,
( ~ p59(f38(c72,c77),f35(c73,c68))
| p13(c68,f23(c74,c77)) ),
inference(resolution,[status(thm)],[f269,f224]) ).
fof(f278,definition,
( sQ0_spl
<=> p13(c68,f23(c74,c77)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f281,definition,
( sQ1_spl
<=> p59(f38(c72,c77),f35(c73,c68)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( sQ1_spl
| ~ p59(f38(c72,c77),f35(c73,c68)) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f276,f278,f281]) ).
fof(f291,plain,
! [X0] :
( ~ p4(X0,f11(c65,f14(f17(c66,c67),f23(c74,c77))))
| ~ p56(X0,c64) ),
inference(resolution,[status(thm)],[f274,f144]) ).
fof(f294,plain,
~ p4(f11(c65,f14(f17(c66,c67),c68)),f11(c65,f14(f17(c66,c67),f23(c74,c77)))),
inference(resolution,[status(thm)],[f291,f143]) ).
fof(f298,plain,
( ~ p9(c65,c65)
| ~ p10(f14(f17(c66,c67),c68),f14(f17(c66,c67),f23(c74,c77))) ),
inference(resolution,[status(thm)],[f294,f238]) ).
fof(f300,definition,
( sQ3_spl
<=> p10(f14(f17(c66,c67),c68),f14(f17(c66,c67),f23(c74,c77))) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( sQ3_spl
| ~ p10(f14(f17(c66,c67),c68),f14(f17(c66,c67),f23(c74,c77))) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,definition,
( sQ4_spl
<=> p9(c65,c65) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( sQ4_spl
| ~ p9(c65,c65) ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f306,plain,
( ~ sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f298,f300,f303]) ).
fof(f307,plain,
( sQ3_spl
| ~ p13(c68,f23(c74,c77))
| ~ p12(f17(c66,c67),f17(c66,c67)) ),
inference(resolution,[status(thm)],[f302,f226]) ).
fof(f309,definition,
( sQ5_spl
<=> p12(f17(c66,c67),f17(c66,c67)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( sQ5_spl
| ~ p12(f17(c66,c67),f17(c66,c67)) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,plain,
( sQ3_spl
| ~ sQ0_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f307,f309,f278,f300]) ).
fof(f313,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f305,f107]) ).
fof(f314,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f313]) ).
fof(f315,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f311,f139]) ).
fof(f316,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f315]) ).
fof(f317,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f283,f140]) ).
fof(f318,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f317]) ).
fof(f319,plain,
$false,
inference(sat_refutation,[status(thm)],[f284,f306,f312,f314,f316,f318]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN713-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.58 % Computer : n008.cluster.edu
% 0.11/5.58 % Model : x86_64 x86_64
% 0.11/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.58 % Memory : 8046.5625MB
% 0.11/5.58 % OS : Linux 6.8.0-71-generic
% 0.11/5.58 % CPULimit : 300
% 0.11/5.58 % WCLimit : 300
% 0.11/5.58 % DateTime : Mon Sep 21 11:13:32 UTC 2026
% 0.11/5.58 % CPUTime :
% 0.11/5.59 % Drodi V4.1.1
% 0.14/5.61 % Refutation found
% 0.14/5.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.64 % Elapsed time: 0.050212 seconds
% 0.14/5.64 % CPU time: 0.137055 seconds
% 0.14/5.64 % Total memory used: 20.519 MB
% 0.14/5.64 % Net memory used: 20.448 MB
%------------------------------------------------------------------------------