%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN009-3 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n016.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 4.25s 6.46s
% Output : Proof 4.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 14 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 104 ( 50 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 75 ( 6 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f8,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_9) ).
fof(f8_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)],[f8]) ).
fof(f8_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)],[f8_nnf]) ).
cnf(c8,plain,
( r(X0,X1,X2)
| q(X0,X1,X2)
| p(X0,X1,X2)
| ~ s(X2)
| ~ s(X1)
| ~ s(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p11,plain,
( r(X0,X0,X1)
| q(X0,X0,X1)
| p(X0,X0,X1)
| ~ s(X1)
| ~ s(X0) ),
inference(factoring,[status(thm)],[c8]) ).
cnf(p18,plain,
( r(X0,X0,X0)
| q(X0,X0,X0)
| p(X0,X0,X0)
| ~ s(X0) ),
inference(factoring,[status(thm)],[p11]) ).
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(p24,plain,
( r(c,c,c)
| q(c,c,c)
| p(c,c,c) ),
inference(resolution,[status(thm)],[p18,c5]) ).
cnf(f2,negated_conjecture,
( ~ t(X,Y,Z)
| ~ r(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f2_nnf,plain,
! [X,Y,Z] :
( ~ t(X,Y,Z)
| ~ r(X,Y,Z) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y,Z] :
( ~ t(X,Y,Z)
| ~ r(X,Y,Z) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ t(X0,X1,X2)
| ~ r(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p30,plain,
( ~ t(c,c,c)
| q(c,c,c)
| p(c,c,c) ),
inference(resolution,[status(thm)],[p24,c2]) ).
cnf(f9,negated_conjecture,
( v(X,Y,Z)
| t(X,Y,Z)
| ~ u(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f9_nnf,plain,
! [X,Y,Z] :
( v(X,Y,Z)
| t(X,Y,Z)
| ~ u(X,Y,Z) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X,Y,Z] :
( v(X,Y,Z)
| t(X,Y,Z)
| ~ u(X,Y,Z) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( v(X0,X1,X2)
| t(X0,X1,X2)
| ~ u(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(f7,negated_conjecture,
u(c,c,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f7_nnf,plain,
u(c,c,c),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
u(c,c,c),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(p10,plain,
( v(c,c,c)
| t(c,c,c) ),
inference(resolution,[status(thm)],[c9,c7]) ).
cnf(f6,negated_conjecture,
~ v(X,Y,Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f6_nnf,plain,
! [X,Y,Z] : ~ v(X,Y,Z),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,Y,Z] : ~ v(X,Y,Z),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
~ v(X0,X1,X2),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p17,plain,
t(c,c,c),
inference(resolution,[status(thm)],[p10,c6]) ).
cnf(p34,plain,
( q(c,c,c)
| p(c,c,c) ),
inference(resolution,[status(thm)],[p30,p17]) ).
cnf(f1,negated_conjecture,
( ~ t(X,Y,Z)
| ~ q(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f1_nnf,plain,
! [X,Y,Z] :
( ~ t(X,Y,Z)
| ~ q(X,Y,Z) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y,Z] :
( ~ t(X,Y,Z)
| ~ q(X,Y,Z) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( ~ t(X0,X1,X2)
| ~ q(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p35,plain,
( ~ t(c,c,c)
| p(c,c,c) ),
inference(resolution,[status(thm)],[p34,c1]) ).
cnf(p36,plain,
p(c,c,c),
inference(resolution,[status(thm)],[p35,p17]) ).
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(p39,plain,
~ t(c,c,c),
inference(resolution,[status(thm)],[p36,c0]) ).
cnf(p40,plain,
$false,
inference(resolution,[status(thm)],[p39,p17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN009-3 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/5.59 % Computer : n016.cluster.edu
% 0.10/5.59 % Model : x86_64 x86_64
% 0.10/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.59 % Memory : 8046.5625MB
% 0.10/5.59 % OS : Linux 6.8.0-71-generic
% 0.10/5.59 % CPULimit : 300
% 0.10/5.59 % WCLimit : 300
% 0.10/5.59 % DateTime : Thu Sep 24 23:55:19 UTC 2026
% 0.10/5.59 % CPUTime :
% 0.10/5.59 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.25/6.46 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.25/6.46 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------