%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN009-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n005.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 4.08s 1.06s
% Output : Proof 4.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 9 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 87 ( 42 ~; 45 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 51 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f7,negated_conjecture,
( r(Z,X,Y)
| q(Y,Z,X)
| p(X,Y,Z)
| ~ s(Z)
| ~ s(Y)
| ~ s(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f7_nnf,plain,
! [X,Y,Z] :
( r(Z,X,Y)
| q(Y,Z,X)
| p(X,Y,Z)
| ~ s(Z)
| ~ s(Y)
| ~ s(X) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,Y,Z] :
( r(Z,X,Y)
| q(Y,Z,X)
| p(X,Y,Z)
| ~ s(Z)
| ~ s(Y)
| ~ s(X) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( r(X2,X0,X1)
| q(X1,X2,X0)
| p(X0,X1,X2)
| ~ s(X2)
| ~ s(X1)
| ~ s(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p8,plain,
( r(X1,X0,X0)
| q(X0,X1,X0)
| p(X0,X0,X1)
| ~ s(X1)
| ~ s(X0) ),
inference(factoring,[status(thm)],[c7]) ).
cnf(p14,plain,
( r(X0,X0,X0)
| q(X0,X0,X0)
| p(X0,X0,X0)
| ~ s(X0) ),
inference(factoring,[status(thm)],[p8]) ).
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(p23,plain,
( r(c,c,c)
| q(c,c,c)
| p(c,c,c) ),
inference(resolution,[status(thm)],[p14,c5]) ).
cnf(f2,negated_conjecture,
( ~ t(Z,X,Y)
| ~ r(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f2_nnf,plain,
! [X,Y,Z] :
( ~ t(Z,X,Y)
| ~ r(X,Y,Z) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y,Z] :
( ~ t(Z,X,Y)
| ~ r(X,Y,Z) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ t(X2,X0,X1)
| ~ r(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p26,plain,
( ~ t(c,c,c)
| q(c,c,c)
| p(c,c,c) ),
inference(resolution,[status(thm)],[p23,c2]) ).
cnf(f6,negated_conjecture,
t(c,c,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f6_nnf,plain,
t(c,c,c),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
t(c,c,c),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(p30,plain,
( q(c,c,c)
| p(c,c,c) ),
inference(resolution,[status(thm)],[p26,c6]) ).
cnf(f1,negated_conjecture,
( ~ t(Y,Z,X)
| ~ q(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f1_nnf,plain,
! [X,Y,Z] :
( ~ t(Y,Z,X)
| ~ q(X,Y,Z) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y,Z] :
( ~ t(Y,Z,X)
| ~ q(X,Y,Z) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( ~ t(X1,X2,X0)
| ~ q(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p31,plain,
( ~ t(c,c,c)
| p(c,c,c) ),
inference(resolution,[status(thm)],[p30,c1]) ).
cnf(p34,plain,
p(c,c,c),
inference(resolution,[status(thm)],[p31,c6]) ).
cnf(f0,negated_conjecture,
( ~ t(X,Y,Z)
| ~ p(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f0_nnf,plain,
! [X,Y,Z] :
( ~ t(X,Y,Z)
| ~ p(X,Y,Z) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y,Z] :
( ~ t(X,Y,Z)
| ~ p(X,Y,Z) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ~ t(X0,X1,X2)
| ~ p(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p35,plain,
~ t(c,c,c),
inference(resolution,[status(thm)],[p34,c0]) ).
cnf(p36,plain,
$false,
inference(resolution,[status(thm)],[p35,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN009-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.34 % Computer : n005.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Thu Sep 24 23:50:17 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.08/1.06 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.08/1.06 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------