%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN621-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 03:16:56 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.37s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 7 unt; 3 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 22 ~; 27 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-4 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
~ p2(c23,f3(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X30,X31,X32] :
( ~ p21(X32,X31)
| ~ p21(X30,X32)
| p21(X30,X31) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X15,X17,X18,X16] :
( p22(f20(X17,X15,X18,X16),f14(f11(X17,f12(X15,X18))))
| p2(X15,f3(c24)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X33] :
( ~ p22(X33,f14(f11(c25,f12(c23,c26))))
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,X33))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [X15,X16,X17,X18] :
( p21(f5(f6(X16,f20(X17,X15,X18,X16))),f15(f19(f11(X17,f12(X15,X18)),X16),f16(f3(f17(f18(c24))))))
| p2(X15,f3(c24)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,plain,
~ p2(c23,f3(c24)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f56,plain,
! [X31,X32] :
( ~ p21(X32,X31)
| ! [X30] :
( ~ p21(X30,X32)
| p21(X30,X31) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ~ p21(X2,X1)
| ~ p21(X0,X2)
| p21(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f76,plain,
! [X15] :
( ! [X17,X18,X16] : p22(f20(X17,X15,X18,X16),f14(f11(X17,f12(X15,X18))))
| p2(X15,f3(c24)) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f77,plain,
! [X0,X1,X2,X3] :
( p22(f20(X1,X0,X2,X3),f14(f11(X1,f12(X0,X2))))
| p2(X0,f3(c24)) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f82,plain,
! [X0] :
( ~ p22(X0,f14(f11(c25,f12(c23,c26))))
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,X0))) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f83,plain,
~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f86,plain,
! [X15] :
( ! [X16,X17,X18] : p21(f5(f6(X16,f20(X17,X15,X18,X16))),f15(f19(f11(X17,f12(X15,X18)),X16),f16(f3(f17(f18(c24))))))
| p2(X15,f3(c24)) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( p21(f5(f6(X1,f20(X2,X0,X3,X1))),f15(f19(f11(X2,f12(X0,X3)),X1),f16(f3(f17(f18(c24))))))
| p2(X0,f3(c24)) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f100,plain,
! [X0] :
( p2(c23,f3(c24))
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,X0)))) ),
inference(resolution,[status(thm)],[f82,f77]) ).
fof(f101,definition,
! [X0] :
( sQ0_spl
<=> p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,X0)))) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f102,plain,
! [X0] :
( ~ sQ0_spl
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,X0)))) ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,definition,
( sQ1_spl
<=> p2(c23,f3(c24)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f105,plain,
( ~ sQ1_spl
| p2(c23,f3(c24)) ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f107,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f100,f101,f104]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4] :
( ~ p21(X1,f5(f6(X4,f20(X2,X0,X3,X4))))
| p21(X1,f15(f19(f11(X2,f12(X0,X3)),X4),f16(f3(f17(f18(c24))))))
| p2(X0,f3(c24)) ),
inference(resolution,[status(thm)],[f87,f57]) ).
fof(f169,plain,
( ~ sQ0_spl
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24))))))
| p2(c23,f3(c24)) ),
inference(resolution,[status(thm)],[f130,f102]) ).
fof(f171,definition,
( sQ2_spl
<=> p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f172,plain,
( ~ sQ2_spl
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,plain,
( ~ sQ0_spl
| sQ2_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f169,f104,f171,f101]) ).
fof(f176,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f105,f41]) ).
fof(f177,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f176]) ).
fof(f178,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f172,f83]) ).
fof(f179,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f178]) ).
fof(f180,plain,
$false,
inference(sat_refutation,[status(thm)],[f107,f174,f177,f179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN621-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 11:14:53 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40 % Elapsed time: 0.038668 seconds
% 0.14/0.40 % CPU time: 0.078546 seconds
% 0.14/0.40 % Total memory used: 4.486 MB
% 0.14/0.40 % Net memory used: 4.413 MB
%------------------------------------------------------------------------------