%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN617-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 03:16:56 PM UTC 2026
% Result : Unsatisfiable 48.41s 6.75s
% Output : CNFRefutation 48.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 20 unt; 2 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 64 ( 33 ~; 29 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 70 ( 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p11(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X27] : p2(X27,X27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X11] : p13(X11,X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p19(c21,c22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X5,X6] : p11(f12(f14(X5,X6)),X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X18,X19] : p13(f15(f3(X18),X19),f15(X18,f12(X19))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [X12,X13,X11] :
( ~ p13(X11,X13)
| ~ p13(X11,X12)
| p13(X12,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X14,X15,X16,X17] :
( ~ p2(X14,X16)
| ~ p11(X15,X17)
| p13(f15(X14,X15),f15(X16,X17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X36,X37] :
( ~ p19(X37,X36)
| p2(f4(f4(f3(X36),f5(f6(c20))),X37),f3(f4(f4(X36,f5(f6(c20))),X37))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
~ p13(f15(f4(f4(f3(c22),f5(f6(c20))),c21),f14(c23,c24)),f15(f4(f4(c22,f5(f6(c20))),c21),c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,plain,
! [X0] : p11(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f37,plain,
! [X0] : p13(X0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f38,plain,
p19(c21,c22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f39,plain,
! [X0,X1] : p11(f12(f14(X0,X1)),X1),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f51,plain,
! [X0,X1] : p13(f15(f3(X0),X1),f15(X0,f12(X1))),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f60,plain,
! [X13,X11] :
( ~ p13(X11,X13)
| ! [X12] :
( ~ p13(X11,X12)
| p13(X12,X13) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ~ p13(X2,X1)
| ~ p13(X2,X0)
| p13(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f68,plain,
! [X14,X16] :
( ~ p2(X14,X16)
| ! [X15,X17] :
( ~ p11(X15,X17)
| p13(f15(X14,X15),f15(X16,X17)) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f69,plain,
! [X0,X1,X2,X3] :
( ~ p2(X0,X2)
| ~ p11(X1,X3)
| p13(f15(X0,X1),f15(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f74,plain,
! [X0,X1] :
( ~ p19(X1,X0)
| p2(f4(f4(f3(X0),f5(f6(c20))),X1),f3(f4(f4(X0,f5(f6(c20))),X1))) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f75,plain,
~ p13(f15(f4(f4(f3(c22),f5(f6(c20))),c21),f14(c23,c24)),f15(f4(f4(c22,f5(f6(c20))),c21),c24)),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f77,plain,
! [X0] :
( ~ p13(X0,f15(f4(f4(c22,f5(f6(c20))),c21),c24))
| ~ p13(X0,f15(f4(f4(f3(c22),f5(f6(c20))),c21),f14(c23,c24))) ),
inference(resolution,[status(thm)],[f75,f61]) ).
fof(f1002,plain,
! [X0,X1] :
( ~ p13(X1,X0)
| p13(X0,X1) ),
inference(resolution,[status(thm)],[f37,f61]) ).
fof(f1008,plain,
! [X0,X1] : p13(f15(X0,f12(X1)),f15(f3(X0),X1)),
inference(resolution,[status(thm)],[f51,f1002]) ).
fof(f1025,plain,
! [X0,X1,X2,X3] :
( p13(f15(X3,X1),f15(X2,X0))
| ~ p2(X2,X3)
| ~ p11(X0,X1) ),
inference(resolution,[status(thm)],[f69,f1002]) ).
fof(f1115,plain,
! [X0,X1,X2,X3] :
( p13(f15(X1,X2),f15(X0,f12(f14(X3,X2))))
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[f1025,f39]) ).
fof(f1118,plain,
! [X0,X1,X2] :
( p13(f15(X1,X2),f15(X0,X2))
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[f1025,f33]) ).
fof(f1146,plain,
! [X0] :
( ~ p13(f15(X0,f14(c23,c24)),f15(f4(f4(c22,f5(f6(c20))),c21),c24))
| ~ p2(f4(f4(f3(c22),f5(f6(c20))),c21),X0) ),
inference(resolution,[status(thm)],[f1118,f77]) ).
fof(f2063,plain,
! [X0,X1,X2,X3] :
( p13(f15(X0,f12(f14(X2,X3))),f15(X1,X3))
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[f1115,f1002]) ).
fof(f3219,plain,
! [X0,X1,X2] : p13(f15(X0,f12(f14(X1,X2))),f15(X0,X2)),
inference(resolution,[status(thm)],[f2063,f36]) ).
fof(f3228,plain,
! [X0,X1,X2,X3] :
( ~ p13(f15(X1,f12(f14(X3,X2))),X0)
| p13(X0,f15(X1,X2)) ),
inference(resolution,[status(thm)],[f3219,f61]) ).
fof(f6233,plain,
! [X0,X1,X2] : p13(f15(f3(X0),f14(X1,X2)),f15(X0,X2)),
inference(resolution,[status(thm)],[f3228,f1008]) ).
fof(f13120,definition,
( sQ48_spl
<=> p19(c21,c22) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f13122,plain,
( sQ48_spl
| ~ p19(c21,c22) ),
inference(component_clause,[status(thm)],[f13120]) ).
fof(f13126,plain,
( ~ p19(c21,c22)
| ~ p13(f15(f3(f4(f4(c22,f5(f6(c20))),c21)),f14(c23,c24)),f15(f4(f4(c22,f5(f6(c20))),c21),c24)) ),
inference(resolution,[status(thm)],[f1146,f74]) ).
fof(f13130,definition,
( sQ49_spl
<=> p13(f15(f3(f4(f4(c22,f5(f6(c20))),c21)),f14(c23,c24)),f15(f4(f4(c22,f5(f6(c20))),c21),c24)) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f13132,plain,
( sQ49_spl
| ~ p13(f15(f3(f4(f4(c22,f5(f6(c20))),c21)),f14(c23,c24)),f15(f4(f4(c22,f5(f6(c20))),c21),c24)) ),
inference(component_clause,[status(thm)],[f13130]) ).
fof(f13133,plain,
( ~ sQ48_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f13126,f13130,f13120]) ).
fof(f13134,plain,
( sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13122,f38]) ).
fof(f13135,plain,
sQ48_spl,
inference(contradiction_clause,[status(thm)],[f13134]) ).
fof(f13136,plain,
( sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13132,f6233]) ).
fof(f13137,plain,
sQ49_spl,
inference(contradiction_clause,[status(thm)],[f13136]) ).
fof(f13138,plain,
$false,
inference(sat_refutation,[status(thm)],[f13133,f13135,f13137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN617-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.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 11:08:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 48.41/6.75 % Refutation found
% 48.41/6.75 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 48.41/6.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.32/6.87 % Elapsed time: 6.496623 seconds
% 3.32/6.87 % CPU time: 50.946772 seconds
% 3.32/6.87 % Total memory used: 604.319 MB
% 3.32/6.87 % Net memory used: 478.056 MB
%------------------------------------------------------------------------------