%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ009-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n026.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 : Fri Sep 25 02:31:50 PM UTC 2026
% Result : Unsatisfiable 3.90s 6.08s
% Output : Proof 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 6 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 62 ( 26 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 6 ( 5 usr; 6 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f9,axiom,
( c_is_a_knight
| ~ d_is_a_knight
| ~ e_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
fof(f9_nnf,plain,
( c_is_a_knight
| ~ d_is_a_knight
| ~ e_is_a_knight ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
( c_is_a_knight
| ~ d_is_a_knight
| ~ e_is_a_knight ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( c_is_a_knight
| ~ d_is_a_knight
| ~ e_is_a_knight ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(f15,axiom,
( e_is_a_knight
| a_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c16) ).
fof(f15_nnf,plain,
( e_is_a_knight
| a_is_a_knight ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
( e_is_a_knight
| a_is_a_knight ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( e_is_a_knight
| a_is_a_knight ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p20,plain,
( a_is_a_knight
| c_is_a_knight
| ~ d_is_a_knight ),
inference(resolution,[status(thm)],[c9,c15]) ).
cnf(f16,axiom,
( ~ c_is_a_knight
| a_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c17) ).
fof(f16_nnf,plain,
( ~ c_is_a_knight
| a_is_a_knight ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
( ~ c_is_a_knight
| a_is_a_knight ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( ~ c_is_a_knight
| a_is_a_knight ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(f4,axiom,
( d_is_a_knight
| c_is_a_knight
| ~ b_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5) ).
fof(f4_nnf,plain,
( d_is_a_knight
| c_is_a_knight
| ~ b_is_a_knight ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( d_is_a_knight
| c_is_a_knight
| ~ b_is_a_knight ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( d_is_a_knight
| c_is_a_knight
| ~ b_is_a_knight ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(f17,negated_conjecture,
b_is_a_knight,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c18) ).
fof(f17_nnf,plain,
b_is_a_knight,
inference(nnf_transformation,[status(thm)],[f17]) ).
cnf(c17,plain,
b_is_a_knight,
inference(cnf_transformation,[status(esa)],[f17_nnf]) ).
cnf(p19,plain,
( d_is_a_knight
| c_is_a_knight ),
inference(resolution,[status(thm)],[c4,c17]) ).
cnf(p21,plain,
( d_is_a_knight
| a_is_a_knight ),
inference(resolution,[status(thm)],[c16,p19]) ).
cnf(p22,plain,
( a_is_a_knight
| a_is_a_knight
| c_is_a_knight ),
inference(resolution,[status(thm)],[p20,p21]) ).
cnf(p23,plain,
( a_is_a_knight
| c_is_a_knight ),
inference(factoring,[status(thm)],[p22]) ).
cnf(p25,plain,
( a_is_a_knight
| a_is_a_knight ),
inference(resolution,[status(thm)],[p23,c16]) ).
cnf(p26,plain,
a_is_a_knight,
inference(factoring,[status(thm)],[p25]) ).
cnf(f2,axiom,
( ~ a_is_a_knight
| ~ b_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3) ).
fof(f2_nnf,plain,
( ~ a_is_a_knight
| ~ b_is_a_knight ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
( ~ a_is_a_knight
| ~ b_is_a_knight ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ a_is_a_knight
| ~ b_is_a_knight ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p18,plain,
~ a_is_a_knight,
inference(resolution,[status(thm)],[c2,c17]) ).
cnf(p27,plain,
$false,
inference(resolution,[status(thm)],[p26,p18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/5.36 % Computer : n026.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Thu Sep 24 06:39:30 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.90/6.08 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.90/6.08 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------