%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN708-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 10.45s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 54 ( 18 unt; 5 def)
% Number of atoms : 120 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 133 ( 67 ~; 61 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 13 ( 4 avg)
% Number of predicates : 11 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p38(c56),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X18] : p16(X18,X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
p37(f15(c56),c48),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X27] :
( ~ p38(X27)
| p38(f15(X27)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
! [X27] :
( ~ p38(X27)
| p16(f19(f15(X27)),f28(f19(X27))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
! [X93,X94,X96,X95] :
( ~ p10(X95,X93)
| ~ p37(X95,X96)
| ~ p10(X96,X94)
| p37(X93,X94) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
! [X99,X100,X102,X101] :
( ~ p16(X101,X99)
| ~ p39(X101,X102)
| ~ p16(X102,X100)
| p39(X99,X100) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
! [X91,X92] :
( ~ p37(X91,X92)
| ~ p38(X91)
| ~ p38(X92)
| p39(f19(X91),f19(X92)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,negated_conjecture,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,negated_conjecture,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f84,plain,
p38(c56),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f86,plain,
! [X0] : p10(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f91,plain,
! [X0] : p16(X0,X0),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f96,plain,
p37(f15(c56),c48),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f98,plain,
! [X0] :
( ~ p38(X0)
| p38(f15(X0)) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f119,plain,
! [X0] :
( ~ p38(X0)
| p16(f19(f15(X0)),f28(f19(X0))) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f145,plain,
! [X93,X95] :
( ~ p10(X95,X93)
| ! [X96] :
( ~ p37(X95,X96)
| ! [X94] :
( ~ p10(X96,X94)
| p37(X93,X94) ) ) ),
inference(miniscoping,[status(thm)],[f51]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( ~ p10(X3,X0)
| ~ p37(X3,X2)
| ~ p10(X2,X1)
| p37(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f147,plain,
! [X99,X101] :
( ~ p16(X101,X99)
| ! [X102] :
( ~ p39(X101,X102)
| ! [X100] :
( ~ p16(X102,X100)
| p39(X99,X100) ) ) ),
inference(miniscoping,[status(thm)],[f52]) ).
fof(f148,plain,
! [X0,X1,X2,X3] :
( ~ p16(X3,X0)
| ~ p39(X3,X2)
| ~ p16(X2,X1)
| p39(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f151,plain,
! [X0,X1] :
( ~ p37(X0,X1)
| ~ p38(X0)
| ~ p38(X1)
| p39(f19(X0),f19(X1)) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f169,plain,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f171,plain,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f174,plain,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f190,plain,
! [X0,X1] :
( ~ p16(X1,f28(f19(c56)))
| ~ p39(X1,X0)
| ~ p16(X0,f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))) ),
inference(resolution,[status(thm)],[f174,f148]) ).
fof(f195,plain,
! [X0] :
( ~ p16(X0,f28(f19(c56)))
| ~ p39(X0,f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))) ),
inference(resolution,[status(thm)],[f190,f91]) ).
fof(f196,plain,
! [X0] :
( ~ p37(X0,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
| ~ p38(X0)
| ~ p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
| ~ p16(f19(X0),f28(f19(c56))) ),
inference(resolution,[status(thm)],[f195,f151]) ).
fof(f198,definition,
! [X0] :
( sQ0_spl
<=> ( ~ p37(X0,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
| ~ p38(X0)
| ~ p16(f19(X0),f28(f19(c56))) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f199,plain,
! [X0] :
( ~ sQ0_spl
| ~ p37(X0,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
| ~ p38(X0)
| ~ p16(f19(X0),f28(f19(c56))) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,definition,
( sQ1_spl
<=> p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( sQ1_spl
| ~ p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f196,f198,f201]) ).
fof(f205,plain,
( ~ sQ0_spl
| ~ p38(c56)
| ~ p37(f15(c56),f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
| ~ p38(f15(c56)) ),
inference(resolution,[status(thm)],[f199,f119]) ).
fof(f207,definition,
( sQ2_spl
<=> p38(f15(c56)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( sQ2_spl
| ~ p38(f15(c56)) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,definition,
( sQ3_spl
<=> p37(f15(c56),f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( sQ3_spl
| ~ p37(f15(c56),f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,definition,
( sQ4_spl
<=> p38(c56) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( sQ4_spl
| ~ p38(c56) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,plain,
( ~ sQ0_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f205,f207,f210,f213,f198]) ).
fof(f217,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f203,f169]) ).
fof(f218,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f217]) ).
fof(f219,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f215,f84]) ).
fof(f220,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f219]) ).
fof(f221,plain,
( sQ2_spl
| ~ p38(c56) ),
inference(resolution,[status(thm)],[f209,f98]) ).
fof(f223,plain,
( sQ2_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f221,f213,f207]) ).
fof(f225,plain,
! [X0,X1] :
( sQ3_spl
| ~ p10(X1,f15(c56))
| ~ p37(X1,X0)
| ~ p10(X0,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ),
inference(resolution,[status(thm)],[f212,f146]) ).
fof(f235,plain,
! [X0] :
( sQ3_spl
| ~ p37(f15(c56),X0)
| ~ p10(X0,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ),
inference(resolution,[status(thm)],[f225,f86]) ).
fof(f236,plain,
( sQ3_spl
| ~ p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ),
inference(resolution,[status(thm)],[f235,f96]) ).
fof(f239,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f236,f171]) ).
fof(f240,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f239]) ).
fof(f241,plain,
$false,
inference(sat_refutation,[status(thm)],[f204,f216,f218,f220,f223,f240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN708-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.37 % Computer : n005.cluster.edu
% 0.10/10.37 % Model : x86_64 x86_64
% 0.10/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.37 % Memory : 8046.5625MB
% 0.10/10.37 % OS : Linux 6.8.0-71-generic
% 0.10/10.37 % CPULimit : 300
% 0.10/10.37 % WCLimit : 300
% 0.10/10.37 % DateTime : Mon Sep 21 11:12:58 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.39 % Drodi V4.1.1
% 0.14/10.45 % Refutation found
% 0.14/10.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/10.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/10.47 % Elapsed time: 0.079235 seconds
% 0.14/10.47 % CPU time: 0.413362 seconds
% 0.14/10.47 % Total memory used: 71.299 MB
% 0.14/10.47 % Net memory used: 70.724 MB
%------------------------------------------------------------------------------