%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN032-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : 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 03:33:21 PM UTC 2026
% Result : Unsatisfiable 4.70s 6.16s
% Output : Proof 4.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 4 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 86 ( 34 ~; 52 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 7 ( 6 usr; 7 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f2,hypothesis,
( ~ k
| j
| h ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',five) ).
fof(f2_nnf,plain,
( ~ k
| j
| h ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
( ~ k
| j
| h ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ k
| j
| h ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(f1,hypothesis,
( j
| k
| h ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',four) ).
fof(f1_nnf,plain,
( j
| k
| h ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( j
| k
| h ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( j
| k
| h ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p7,plain,
( j
| h
| j
| h ),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(p8,plain,
( j
| j
| h ),
inference(factoring,[status(thm)],[p7]) ).
cnf(p10,plain,
( j
| h ),
inference(factoring,[status(thm)],[p8]) ).
cnf(f0,hypothesis,
( ~ j
| a
| h ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',three) ).
fof(f0_nnf,plain,
( ~ j
| a
| h ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
( ~ j
| a
| h ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ~ j
| a
| h ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p11,plain,
( a
| h
| h ),
inference(resolution,[status(thm)],[p10,c0]) ).
cnf(p12,plain,
( a
| h ),
inference(factoring,[status(thm)],[p11]) ).
cnf(f3,hypothesis,
( ~ a
| b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',six) ).
fof(f3_nnf,plain,
( ~ a
| b ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
( ~ a
| b ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ a
| b ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p14,plain,
( b
| h ),
inference(resolution,[status(thm)],[p12,c3]) ).
cnf(f6,negated_conjecture,
( ~ b
| ~ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_something) ).
fof(f6_nnf,plain,
( ~ b
| ~ a ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
( ~ b
| ~ a ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( ~ b
| ~ a ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p13,plain,
( ~ b
| h ),
inference(resolution,[status(thm)],[p12,c6]) ).
cnf(p15,plain,
( h
| h ),
inference(resolution,[status(thm)],[p14,p13]) ).
cnf(p16,plain,
h,
inference(factoring,[status(thm)],[p15]) ).
cnf(f5,hypothesis,
( ~ c
| ~ h ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one) ).
fof(f5_nnf,plain,
( ~ c
| ~ h ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
( ~ c
| ~ h ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ c
| ~ h ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p18,plain,
~ c,
inference(resolution,[status(thm)],[p16,c5]) ).
cnf(f4,hypothesis,
( ~ h
| c ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',seven) ).
fof(f4_nnf,plain,
( ~ h
| c ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( ~ h
| c ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( ~ h
| c ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p17,plain,
c,
inference(resolution,[status(thm)],[p16,c4]) ).
cnf(p19,plain,
$false,
inference(resolution,[status(thm)],[p18,p17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN032-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/5.37 % Computer : n008.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Thu Sep 24 23:52:46 UTC 2026
% 0.08/5.38 % CPUTime :
% 0.08/5.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.70/6.16 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.70/6.16 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------