%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU306+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n018.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 02:51:40 PM UTC 2026
% Result : Theorem 29.13s 5.07s
% Output : Proof 29.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 21 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 3 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 7 ( 0 sgn 5 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f75,axiom,
! [A] :
( one_sorted_str(A)
=> cast_as_carrier_subset(A) = the_carrier(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f75_nnf,plain,
! [A] :
( cast_as_carrier_subset(A) = the_carrier(A)
| ~ one_sorted_str(A) ),
inference(nnf_transformation,[status(thm)],[f75]) ).
fof(f75_sk,plain,
! [A] :
( cast_as_carrier_subset(A) = the_carrier(A)
| ~ one_sorted_str(A) ),
inference(skolemisation,[status(esa)],[f75_nnf]) ).
cnf(c293,plain,
( cast_as_carrier_subset(X0) = the_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[status(esa)],[f75_sk]) ).
fof(f317,conjecture,
! [A] :
( one_sorted_str(A)
=> cast_as_carrier_subset(A) = the_carrier(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(f317_neg,negated_conjecture,
~ ! [A] :
( one_sorted_str(A)
=> cast_as_carrier_subset(A) = the_carrier(A) ),
inference(negated_conjecture,[status(cth)],[f317]) ).
fof(f317_nnf,plain,
? [A] :
( cast_as_carrier_subset(A) != the_carrier(A)
& one_sorted_str(A) ),
inference(nnf_transformation,[status(thm)],[f317_neg]) ).
fof(f317_sk,plain,
( cast_as_carrier_subset(sk292) != the_carrier(sk292)
& one_sorted_str(sk292) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk292])],[f317_nnf]) ).
cnf(c1837,plain,
one_sorted_str(sk292),
inference(cnf_transformation,[status(esa)],[f317_sk]) ).
cnf(p1787,plain,
cast_as_carrier_subset(sk292) = the_carrier(sk292),
inference(resolution,[status(thm)],[c293,c1837]) ).
cnf(c1838,plain,
cast_as_carrier_subset(sk292) != the_carrier(sk292),
inference(cnf_transformation,[status(esa)],[f317_sk]) ).
cnf(p1788,plain,
the_carrier(sk292) != the_carrier(sk292),
inference(demodulation,[status(thm)],[p1787,c1838]) ).
cnf(p1793,plain,
$false,
inference(equality_resolution,[status(thm)],[p1788]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU306+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.58 % Computer : n018.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Thu Sep 24 13:39:50 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.58 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 29.13/5.07 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.13/5.07 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------