%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN345-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n002.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 03:34:26 PM UTC 2026
% Result : Unsatisfiable 6.49s 6.47s
% Output : Proof 6.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 5 unt; 0 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 119 ( 47 ~; 72 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 52 ( 14 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f4,negated_conjecture,
( f(a,b,b)
| f(a,a,b)
| f(Y1,Y2,z(Y1,Y2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f4_nnf,plain,
! [Y1,Y2] :
( f(a,b,b)
| f(a,a,b)
| f(Y1,Y2,z(Y1,Y2)) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [Y1,Y2] :
( f(a,b,b)
| f(a,a,b)
| f(Y1,Y2,z(Y1,Y2)) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( f(a,b,b)
| f(a,a,b)
| f(X0,X1,z(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(f6,negated_conjecture,
( f(a,b,b)
| f(a,a,b)
| ~ f(b,b,Y1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f6_nnf,plain,
! [Y1] :
( f(a,b,b)
| f(a,a,b)
| ~ f(b,b,Y1) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [Y1] :
( f(a,b,b)
| f(a,a,b)
| ~ f(b,b,Y1) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( f(a,b,b)
| f(a,a,b)
| ~ f(b,b,X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p9,plain,
( f(a,b,b)
| f(a,a,b)
| f(a,b,b)
| f(a,a,b) ),
inference(resolution,[status(thm)],[c4,c6]) ).
cnf(p10,plain,
( f(a,b,b)
| f(a,b,b)
| f(a,a,b) ),
inference(factoring,[status(thm)],[p9]) ).
cnf(p12,plain,
( f(a,b,b)
| f(a,a,b) ),
inference(factoring,[status(thm)],[p10]) ).
cnf(f2,negated_conjecture,
( ~ f(a,b,b)
| f(a,a,b)
| f(b,Y1,Y2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f2_nnf,plain,
! [Y1,Y2] :
( ~ f(a,b,b)
| f(a,a,b)
| f(b,Y1,Y2) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [Y1,Y2] :
( ~ f(a,b,b)
| f(a,a,b)
| f(b,Y1,Y2) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ f(a,b,b)
| f(a,a,b)
| f(b,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p13,plain,
( f(a,a,b)
| f(b,X0,X1)
| f(a,a,b) ),
inference(resolution,[status(thm)],[p12,c2]) ).
cnf(p14,plain,
( f(b,X0,X1)
| f(a,a,b) ),
inference(factoring,[status(thm)],[p13]) ).
cnf(f3,negated_conjecture,
( ~ f(a,b,b)
| f(a,a,b)
| ~ f(Y1,z(Y1,Y2),z(Y1,Y2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f3_nnf,plain,
! [Y1,Y2] :
( ~ f(a,b,b)
| f(a,a,b)
| ~ f(Y1,z(Y1,Y2),z(Y1,Y2)) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [Y1,Y2] :
( ~ f(a,b,b)
| f(a,a,b)
| ~ f(Y1,z(Y1,Y2),z(Y1,Y2)) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ f(a,b,b)
| f(a,a,b)
| ~ f(X0,z(X0,X1),z(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p15,plain,
( ~ f(a,b,b)
| f(a,a,b)
| f(a,a,b) ),
inference(resolution,[status(thm)],[p14,c3]) ).
cnf(p16,plain,
( ~ f(a,b,b)
| f(a,a,b) ),
inference(factoring,[status(thm)],[p15]) ).
cnf(p17,plain,
( f(a,a,b)
| f(a,a,b) ),
inference(resolution,[status(thm)],[p16,p12]) ).
cnf(p18,plain,
f(a,a,b),
inference(factoring,[status(thm)],[p17]) ).
cnf(f5,negated_conjecture,
( ~ f(a,b,b)
| ~ f(a,a,b)
| f(Y1,Y2,z(Y1,Y2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f5_nnf,plain,
! [Y1,Y2] :
( ~ f(a,b,b)
| ~ f(a,a,b)
| f(Y1,Y2,z(Y1,Y2)) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [Y1,Y2] :
( ~ f(a,b,b)
| ~ f(a,a,b)
| f(Y1,Y2,z(Y1,Y2)) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ f(a,b,b)
| ~ f(a,a,b)
| f(X0,X1,z(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p20,plain,
( ~ f(a,b,b)
| f(X0,X1,z(X0,X1)) ),
inference(resolution,[status(thm)],[p18,c5]) ).
cnf(f0,negated_conjecture,
( f(a,b,b)
| ~ f(a,a,b)
| f(a,b,Y1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f0_nnf,plain,
! [Y1] :
( f(a,b,b)
| ~ f(a,a,b)
| f(a,b,Y1) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [Y1] :
( f(a,b,b)
| ~ f(a,a,b)
| f(a,b,Y1) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( f(a,b,b)
| ~ f(a,a,b)
| f(a,b,X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p8,plain,
( ~ f(a,a,b)
| f(a,b,b) ),
inference(factoring,[status(thm)],[c0]) ).
cnf(p19,plain,
f(a,b,b),
inference(resolution,[status(thm)],[p18,p8]) ).
cnf(p21,plain,
f(X0,X1,z(X0,X1)),
inference(resolution,[status(thm)],[p20,p19]) ).
cnf(f7,negated_conjecture,
( ~ f(a,b,b)
| ~ f(a,a,b)
| ~ f(b,b,Y1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f7_nnf,plain,
! [Y1] :
( ~ f(a,b,b)
| ~ f(a,a,b)
| ~ f(b,b,Y1) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [Y1] :
( ~ f(a,b,b)
| ~ f(a,a,b)
| ~ f(b,b,Y1) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( ~ f(a,b,b)
| ~ f(a,a,b)
| ~ f(b,b,X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p22,plain,
( ~ f(a,b,b)
| ~ f(a,a,b) ),
inference(resolution,[status(thm)],[p21,c7]) ).
cnf(p23,plain,
~ f(a,b,b),
inference(resolution,[status(thm)],[p22,p18]) ).
cnf(p24,plain,
$false,
inference(resolution,[status(thm)],[p23,p19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN345-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/5.36 % Computer : n002.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Fri Sep 25 00:58:10 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.49/6.47 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.49/6.47 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------