%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRA001-1 : 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 01:22:52 PM UTC 2026
% Result : Unsatisfiable 4.58s 11.61s
% Output : Proof 4.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 12
% Syntax : Number of formulae : 74 ( 4 unt; 0 def)
% Number of atoms : 186 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 184 ( 72 ~; 112 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 6 ( 5 usr; 6 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f8,negated_conjecture,
( e
| c
| ~ b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f8_nnf,plain,
( e
| c
| ~ b ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
( e
| c
| ~ b ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( e
| c
| ~ b ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(f0,negated_conjecture,
( b
| a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f0_nnf,plain,
( b
| a ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
( b
| a ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( b
| a ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p12,plain,
( a
| e
| c ),
inference(resolution,[status(thm)],[c8,c0]) ).
cnf(f10,negated_conjecture,
( ~ e
| d ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
fof(f10_nnf,plain,
( ~ e
| d ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
( ~ e
| d ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( ~ e
| d ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p14,plain,
( d
| a
| c ),
inference(resolution,[status(thm)],[p12,c10]) ).
cnf(f2,negated_conjecture,
( ~ d
| c
| a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f2_nnf,plain,
( ~ d
| c
| a ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
( ~ d
| c
| a ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ d
| c
| a ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p15,plain,
( c
| a
| a
| c ),
inference(resolution,[status(thm)],[p14,c2]) ).
cnf(p16,plain,
( a
| a
| c ),
inference(factoring,[status(thm)],[p15]) ).
cnf(p18,plain,
( a
| c ),
inference(factoring,[status(thm)],[p16]) ).
cnf(f3,negated_conjecture,
( d
| ~ c
| a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f3_nnf,plain,
( d
| ~ c
| a ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
( d
| ~ c
| a ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( d
| ~ c
| a ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p19,plain,
( d
| a
| a ),
inference(resolution,[status(thm)],[p18,c3]) ).
cnf(p21,plain,
( d
| a ),
inference(factoring,[status(thm)],[p19]) ).
cnf(f11,negated_conjecture,
( e
| ~ d ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
fof(f11_nnf,plain,
( e
| ~ d ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
( e
| ~ d ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( e
| ~ d ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p23,plain,
( e
| a ),
inference(resolution,[status(thm)],[p21,c11]) ).
cnf(f9,negated_conjecture,
( ~ e
| ~ c
| ~ b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f9_nnf,plain,
( ~ e
| ~ c
| ~ b ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
( ~ e
| ~ c
| ~ b ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( ~ e
| ~ c
| ~ b ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p13,plain,
( a
| ~ e
| ~ c ),
inference(resolution,[status(thm)],[c9,c0]) ).
cnf(p20,plain,
( a
| ~ e
| a ),
inference(resolution,[status(thm)],[p18,p13]) ).
cnf(p22,plain,
( ~ e
| a ),
inference(factoring,[status(thm)],[p20]) ).
cnf(p24,plain,
( a
| a ),
inference(resolution,[status(thm)],[p23,p22]) ).
cnf(p25,plain,
a,
inference(factoring,[status(thm)],[p24]) ).
cnf(f4,negated_conjecture,
( d
| c
| ~ a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f4_nnf,plain,
( d
| c
| ~ a ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( d
| c
| ~ a ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( d
| c
| ~ a ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p27,plain,
( d
| c ),
inference(resolution,[status(thm)],[p25,c4]) ).
cnf(p29,plain,
( e
| c ),
inference(resolution,[status(thm)],[p27,c11]) ).
cnf(f6,negated_conjecture,
( ~ e
| c
| b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f6_nnf,plain,
( ~ e
| c
| b ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
( ~ e
| c
| b ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( ~ e
| c
| b ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p30,plain,
( c
| b
| c ),
inference(resolution,[status(thm)],[p29,c6]) ).
cnf(p31,plain,
( b
| c ),
inference(factoring,[status(thm)],[p30]) ).
cnf(f7,negated_conjecture,
( e
| ~ c
| b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f7_nnf,plain,
( e
| ~ c
| b ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
( e
| ~ c
| b ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( e
| ~ c
| b ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p32,plain,
( e
| b
| b ),
inference(resolution,[status(thm)],[p31,c7]) ).
cnf(p34,plain,
( e
| b ),
inference(factoring,[status(thm)],[p32]) ).
cnf(p35,plain,
( d
| b ),
inference(resolution,[status(thm)],[p34,c10]) ).
cnf(f5,negated_conjecture,
( ~ d
| ~ c
| ~ a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f5_nnf,plain,
( ~ d
| ~ c
| ~ a ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
( ~ d
| ~ c
| ~ a ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ d
| ~ c
| ~ a ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p28,plain,
( ~ d
| ~ c ),
inference(resolution,[status(thm)],[p25,c5]) ).
cnf(p33,plain,
( ~ d
| b ),
inference(resolution,[status(thm)],[p31,p28]) ).
cnf(p36,plain,
( b
| b ),
inference(resolution,[status(thm)],[p35,p33]) ).
cnf(p37,plain,
b,
inference(factoring,[status(thm)],[p36]) ).
cnf(f1,negated_conjecture,
( ~ b
| ~ a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f1_nnf,plain,
( ~ b
| ~ a ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( ~ b
| ~ a ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( ~ b
| ~ a ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p26,plain,
~ b,
inference(resolution,[status(thm)],[p25,c1]) ).
cnf(p38,plain,
$false,
inference(resolution,[status(thm)],[p37,p26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/10.80 % Computer : n008.cluster.edu
% 0.10/10.80 % Model : x86_64 x86_64
% 0.10/10.80 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.80 % Memory : 8046.5625MB
% 0.10/10.80 % OS : Linux 6.8.0-71-generic
% 0.10/10.80 % CPULimit : 300
% 0.10/10.80 % WCLimit : 300
% 0.10/10.80 % DateTime : Wed Sep 23 12:42:54 UTC 2026
% 0.10/10.80 % CPUTime :
% 0.10/10.80 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.58/11.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.58/11.61 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------