%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN580-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 03:16:51 PM UTC 2026
% Result : Unsatisfiable 0.09s 5.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 40 ( 17 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 103 ( 54 ~; 49 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X19] : p7(X19,X19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X12] : p4(X12,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X7] : p2(X7,X7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p11(c15,c16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p2(c14,f3(c15)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ p8(c12,c13,c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X8,X9,X7] :
( ~ p2(X7,X9)
| ~ p2(X7,X8)
| p2(X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [X28,X29] :
( ~ p9(c12,X28)
| ~ p11(X29,c16)
| p8(c12,X28,X29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X31,X30] :
( ~ p9(c12,X30)
| p8(c12,X30,f3(X31))
| p9(c12,f6(X31)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X30,X31] :
( ~ p8(c12,f6(X31),X31)
| ~ p9(c12,X30)
| p8(c12,X30,f3(X31)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X22,X23,X24,X25,X26,X27] :
( ~ p8(X27,X26,X25)
| ~ p7(X27,X22)
| ~ p4(X26,X23)
| ~ p2(X25,X24)
| p8(X22,X23,X24) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f26,plain,
! [X0] : p4(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f27,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f28,plain,
p11(c15,c16),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f29,plain,
p9(c12,c13),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f30,plain,
p2(c14,f3(c15)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f31,plain,
~ p8(c12,c13,c14),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f41,plain,
! [X9,X7] :
( ~ p2(X7,X9)
| ! [X8] :
( ~ p2(X7,X8)
| p2(X8,X9) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f43,plain,
! [X28] :
( ~ p9(c12,X28)
| ! [X29] :
( ~ p11(X29,c16)
| p8(c12,X28,X29) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f44,plain,
! [X0,X1] :
( ~ p9(c12,X0)
| ~ p11(X1,c16)
| p8(c12,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f47,plain,
! [X30] :
( ~ p9(c12,X30)
| ! [X31] :
( p8(c12,X30,f3(X31))
| p9(c12,f6(X31)) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f48,plain,
! [X0,X1] :
( ~ p9(c12,X1)
| p8(c12,X1,f3(X0))
| p9(c12,f6(X0)) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f55,plain,
! [X31] :
( ~ p8(c12,f6(X31),X31)
| ! [X30] :
( ~ p9(c12,X30)
| p8(c12,X30,f3(X31)) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f56,plain,
! [X0,X1] :
( ~ p8(c12,f6(X1),X1)
| ~ p9(c12,X0)
| p8(c12,X0,f3(X1)) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f57,plain,
! [X25,X26,X27] :
( ~ p8(X27,X26,X25)
| ! [X22] :
( ~ p7(X27,X22)
| ! [X23] :
( ~ p4(X26,X23)
| ! [X24] :
( ~ p2(X25,X24)
| p8(X22,X23,X24) ) ) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f58,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ p8(X5,X4,X3)
| ~ p7(X5,X0)
| ~ p4(X4,X1)
| ~ p2(X3,X2)
| p8(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
! [X0] :
( ~ p9(c12,X0)
| p8(c12,X0,c15) ),
inference(resolution,[status(thm)],[f44,f28]) ).
fof(f71,plain,
! [X0] :
( ~ p9(c12,f6(c15))
| ~ p9(c12,X0)
| p8(c12,X0,f3(c15)) ),
inference(resolution,[status(thm)],[f56,f59]) ).
fof(f72,plain,
! [X0] :
( ~ p9(c12,X0)
| p8(c12,X0,f3(c15)) ),
inference(forward_subsumption_resolution,[status(thm)],[f71,f48]) ).
fof(f89,plain,
! [X0,X1,X2,X3,X4] :
( ~ p8(X0,X4,X3)
| ~ p4(X4,X1)
| ~ p2(X3,X2)
| p8(X0,X1,X2) ),
inference(resolution,[status(thm)],[f58,f25]) ).
fof(f94,plain,
! [X0,X1] :
( ~ p8(c12,X1,X0)
| ~ p4(X1,c13)
| ~ p2(X0,c14) ),
inference(resolution,[status(thm)],[f89,f31]) ).
fof(f96,plain,
! [X0] :
( ~ p8(c12,c13,X0)
| ~ p2(X0,c14) ),
inference(resolution,[status(thm)],[f94,f26]) ).
fof(f97,plain,
! [X0,X1] :
( ~ p2(X1,c14)
| ~ p2(X1,X0)
| ~ p8(c12,c13,X0) ),
inference(resolution,[status(thm)],[f96,f42]) ).
fof(f100,plain,
! [X0] :
( ~ p2(c14,X0)
| ~ p8(c12,c13,X0) ),
inference(resolution,[status(thm)],[f97,f27]) ).
fof(f101,plain,
~ p8(c12,c13,f3(c15)),
inference(resolution,[status(thm)],[f100,f30]) ).
fof(f104,plain,
~ p9(c12,c13),
inference(resolution,[status(thm)],[f101,f72]) ).
fof(f106,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f104,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN580-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n017.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Mon Sep 21 11:04:17 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.36 % Drodi V4.1.1
% 0.09/5.39 % Refutation found
% 0.09/5.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/5.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/5.41 % Elapsed time: 0.043790 seconds
% 0.13/5.41 % CPU time: 0.158793 seconds
% 0.13/5.41 % Total memory used: 17.858 MB
% 0.13/5.41 % Net memory used: 17.466 MB
%------------------------------------------------------------------------------