%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN569-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 03:16:49 PM UTC 2026
% Result : Unsatisfiable 0.13s 5.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 40 ( 14 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 110 ( 63 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X6] : p2(X6,X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
p8(c14,c12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p8(c11,c14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p9(c13,c15,c14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X4,X5] :
( ~ p8(X4,X5)
| p10(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X7,X8,X6] :
( ~ p2(X6,X8)
| ~ p2(X6,X7)
| p2(X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X9,X10,X11,X12] :
( ~ p9(X11,X10,X12)
| ~ p9(X11,X9,X12)
| p2(X9,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X40] :
( ~ p10(c11,X40)
| ~ p10(X40,c12)
| p9(c13,f3(X40),X40) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [X15,X16,X17,X18] :
( ~ p2(X16,X18)
| ~ p2(X15,X17)
| p2(f4(X15,X16),f4(X17,X18)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X41] :
( ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X41)))
| ~ p8(c11,X41)
| ~ p8(X41,c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f23,plain,
p8(c14,c12),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f25,plain,
p8(c11,c14),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f26,plain,
p9(c13,c15,c14),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f27,plain,
! [X0,X1] :
( ~ p8(X0,X1)
| p10(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f31,plain,
! [X8,X6] :
( ~ p2(X6,X8)
| ! [X7] :
( ~ p2(X6,X7)
| p2(X7,X8) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
! [X10,X11,X12] :
( ~ p9(X11,X10,X12)
| ! [X9] :
( ~ p9(X11,X9,X12)
| p2(X9,X10) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f34,plain,
! [X0,X1,X2,X3] :
( ~ p9(X2,X1,X3)
| ~ p9(X2,X0,X3)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f35,plain,
! [X0] :
( ~ p10(c11,X0)
| ~ p10(X0,c12)
| p9(c13,f3(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f40,plain,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f41,plain,
! [X16,X18] :
( ~ p2(X16,X18)
| ! [X15,X17] :
( ~ p2(X15,X17)
| p2(f4(X15,X16),f4(X17,X18)) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f42,plain,
! [X0,X1,X2,X3] :
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f4(X0,X1),f4(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f49,plain,
! [X0] :
( ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X0)))
| ~ p8(c11,X0)
| ~ p8(X0,c12) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f51,plain,
! [X0,X1] :
( ~ p2(X1,f4(f5(c12,c11),f3(X0)))
| ~ p2(X1,f5(f7(c13,c12),f7(c13,c11)))
| ~ p8(c11,X0)
| ~ p8(X0,c12) ),
inference(resolution,[status(thm)],[f49,f32]) ).
fof(f52,plain,
! [X0] :
( ~ p2(X0,f4(f5(c12,c11),f3(c14)))
| ~ p2(X0,f5(f7(c13,c12),f7(c13,c11)))
| ~ p8(c14,c12) ),
inference(resolution,[status(thm)],[f51,f25]) ).
fof(f55,plain,
! [X0] :
( ~ p2(X0,f4(f5(c12,c11),f3(c14)))
| ~ p2(X0,f5(f7(c13,c12),f7(c13,c11))) ),
inference(forward_subsumption_resolution,[status(thm)],[f52,f23]) ).
fof(f57,plain,
! [X0,X1] :
( ~ p2(X1,f3(c14))
| ~ p2(X0,f5(c12,c11))
| ~ p2(f4(X0,X1),f5(f7(c13,c12),f7(c13,c11))) ),
inference(resolution,[status(thm)],[f55,f42]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ p2(X2,f5(f7(c13,c12),f7(c13,c11)))
| ~ p2(X2,f4(X0,X1))
| ~ p2(X1,f3(c14))
| ~ p2(X0,f5(c12,c11)) ),
inference(resolution,[status(thm)],[f57,f32]) ).
fof(f94,plain,
! [X0,X1] :
( ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(X0,X1))
| ~ p2(X1,f3(c14))
| ~ p2(X0,f5(c12,c11)) ),
inference(resolution,[status(thm)],[f69,f21]) ).
fof(f97,plain,
( ~ p2(c15,f3(c14))
| ~ p2(f5(c12,c11),f5(c12,c11)) ),
inference(resolution,[status(thm)],[f94,f40]) ).
fof(f100,plain,
~ p2(c15,f3(c14)),
inference(forward_subsumption_resolution,[status(thm)],[f97,f21]) ).
fof(f101,plain,
! [X0,X1] :
( ~ p9(X0,f3(c14),X1)
| ~ p9(X0,c15,X1) ),
inference(resolution,[status(thm)],[f100,f34]) ).
fof(f109,plain,
( ~ p10(c11,c14)
| ~ p10(c14,c12)
| ~ p9(c13,c15,c14) ),
inference(resolution,[status(thm)],[f101,f35]) ).
fof(f111,plain,
( ~ p10(c11,c14)
| ~ p10(c14,c12) ),
inference(forward_subsumption_resolution,[status(thm)],[f109,f26]) ).
fof(f113,plain,
( ~ p8(c11,c14)
| ~ p10(c14,c12) ),
inference(resolution,[status(thm)],[f111,f27]) ).
fof(f114,plain,
~ p10(c14,c12),
inference(forward_subsumption_resolution,[status(thm)],[f113,f25]) ).
fof(f125,plain,
~ p8(c14,c12),
inference(resolution,[status(thm)],[f114,f27]) ).
fof(f126,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f125,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN569-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n014.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Mon Sep 21 11:08:56 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.38 % Drodi V4.1.1
% 0.13/5.40 % Refutation found
% 0.13/5.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/5.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/5.43 % Elapsed time: 0.056657 seconds
% 0.13/5.43 % CPU time: 0.184091 seconds
% 0.13/5.43 % Total memory used: 57.383 MB
% 0.13/5.43 % Net memory used: 56.768 MB
%------------------------------------------------------------------------------