%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN030-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n009.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 03:33:20 PM UTC 2026
% Result : Unsatisfiable 3.38s 1.06s
% Output : Proof 3.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 7 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 89 ( 45 ~; 44 |; 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(f3,axiom,
( t
| ~ q
| ~ r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f3_nnf,plain,
( t
| ~ q
| ~ r ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
( t
| ~ q
| ~ r ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( t
| ~ q
| ~ r ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(f5,axiom,
( r
| q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f5_nnf,plain,
( r
| q ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
( r
| q ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( r
| q ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(f4,axiom,
( r
| ~ q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f4_nnf,plain,
( r
| ~ q ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( r
| ~ q ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( r
| ~ q ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p9,plain,
( r
| r ),
inference(resolution,[status(thm)],[c5,c4]) ).
cnf(p10,plain,
r,
inference(factoring,[status(thm)],[p9]) ).
cnf(p13,plain,
( t
| ~ q ),
inference(resolution,[status(thm)],[c3,p10]) ).
cnf(f6,axiom,
( q
| ~ r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f6_nnf,plain,
( q
| ~ r ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
( q
| ~ r ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( q
| ~ r ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p12,plain,
q,
inference(resolution,[status(thm)],[p10,c6]) ).
cnf(p14,plain,
t,
inference(resolution,[status(thm)],[p13,p12]) ).
cnf(f0,axiom,
( p
| ~ s
| ~ t ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f0_nnf,plain,
( p
| ~ s
| ~ t ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
( p
| ~ s
| ~ t ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( p
| ~ s
| ~ t ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p15,plain,
( p
| ~ s ),
inference(resolution,[status(thm)],[p14,c0]) ).
cnf(f1,axiom,
( s
| ~ r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f1_nnf,plain,
( s
| ~ r ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( s
| ~ r ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( s
| ~ r ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p11,plain,
s,
inference(resolution,[status(thm)],[p10,c1]) ).
cnf(p16,plain,
p,
inference(resolution,[status(thm)],[p15,p11]) ).
cnf(f8,negated_conjecture,
( ~ r
| ~ q
| ~ p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem) ).
fof(f8_nnf,plain,
( ~ r
| ~ q
| ~ p ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
( ~ r
| ~ q
| ~ p ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( ~ r
| ~ q
| ~ p ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p17,plain,
( ~ r
| ~ q ),
inference(resolution,[status(thm)],[p16,c8]) ).
cnf(p18,plain,
~ r,
inference(resolution,[status(thm)],[p17,p12]) ).
cnf(p19,plain,
$false,
inference(resolution,[status(thm)],[p18,p10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN030-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 23:52:28 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.38/1.06 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.38/1.06 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------