%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN009-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n008.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 03:33:18 PM UTC 2026
% Result : Unsatisfiable 0.14s 10.80s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 17 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 57 ( 27 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 39 ( 12 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f6,negated_conjecture,
( r(X,Y,Z)
| q(X,Y,Z)
| p(X,Y,Z)
| ~ s(Z)
| ~ s(Y)
| ~ s(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f6_nnf,plain,
! [X,Y,Z] :
( r(X,Y,Z)
| q(X,Y,Z)
| p(X,Y,Z)
| ~ s(Z)
| ~ s(Y)
| ~ s(X) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,Y,Z] :
( r(X,Y,Z)
| q(X,Y,Z)
| p(X,Y,Z)
| ~ s(Z)
| ~ s(Y)
| ~ s(X) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( r(X0,X1,X2)
| q(X0,X1,X2)
| p(X0,X1,X2)
| ~ s(X2)
| ~ s(X1)
| ~ s(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p7,plain,
( r(X0,X0,X1)
| q(X0,X0,X1)
| p(X0,X0,X1)
| ~ s(X1)
| ~ s(X0) ),
inference(factoring,[status(thm)],[c6]) ).
cnf(p13,plain,
( r(X0,X0,X0)
| q(X0,X0,X0)
| p(X0,X0,X0)
| ~ s(X0) ),
inference(factoring,[status(thm)],[p7]) ).
cnf(f5,negated_conjecture,
s(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f5_nnf,plain,
s(c),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c5,plain,
s(c),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(p19,plain,
( r(c,c,c)
| q(c,c,c)
| p(c,c,c) ),
inference(resolution,[status(thm)],[p13,c5]) ).
cnf(f2,negated_conjecture,
~ r(X,Y,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f2_nnf,plain,
! [X,Y] : ~ r(X,Y,c),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] : ~ r(X,Y,c),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
~ r(X0,X1,c),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p23,plain,
( q(c,c,c)
| p(c,c,c) ),
inference(resolution,[status(thm)],[p19,c2]) ).
cnf(f1,negated_conjecture,
~ q(X,c,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f1_nnf,plain,
! [X,Y] : ~ q(X,c,Y),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y] : ~ q(X,c,Y),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
~ q(X0,c,X1),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p24,plain,
p(c,c,c),
inference(resolution,[status(thm)],[p23,c1]) ).
cnf(f0,negated_conjecture,
~ p(c,X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f0_nnf,plain,
! [X,Y] : ~ p(c,X,Y),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] : ~ p(c,X,Y),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
~ p(c,X0,X1),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p28,plain,
$false,
inference(resolution,[status(thm)],[p24,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/10.38 % Computer : n008.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Thu Sep 24 23:51:08 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/10.80 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/10.80 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------