%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU444+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 03:45:34 PM UTC 2025
% Result : Theorem 0.20s 0.48s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 24 ( 14 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 21 ( 9 ~; 6 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 15 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t56_relset_2,plain,
! [A,B,C] :
( m2_relset_1(C,B,A)
=> ( k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A)
& k10_relset_1(A,B,k6_relset_1(B,A,C),k10_relset_1(B,A,C,B)) = k10_relset_1(A,B,k6_relset_1(B,A,C),k2_funct_5(C)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_relset_2) ).
fof(t56_relset_2_negated,plain,
~ ! [A,B,C] :
( m2_relset_1(C,B,A)
=> ( k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A)
& k10_relset_1(A,B,k6_relset_1(B,A,C),k10_relset_1(B,A,C,B)) = k10_relset_1(A,B,k6_relset_1(B,A,C),k2_funct_5(C)) ) ),
inference(negate_conjecture,[status(cth)],[t56_relset_2]) ).
cnf(0,plain,
m2_relset_1(sK3,sK2,sK1),
inference(cnf,[status(esa)],[t56_relset_2_negated]) ).
cnf(l0,plain,
m2_relset_1(sK3,sK2,sK1),
inference(instantiation,[status(thm)],[0]) ).
fof(t51_relset_2,plain,
! [A,B,C] :
( m2_relset_1(C,B,A)
=> ( k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A)
& k2_funct_5(C) = k10_relset_1(B,A,C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_relset_2) ).
cnf(48,plain,
( ~ m2_relset_1(X0,X1,X2)
| k1_funct_5(X0) = k10_relset_1(X2,X1,k6_relset_1(X1,X2,X0),X2) ),
inference(cnf,[status(esa)],[t51_relset_2]) ).
cnf(l1,plain,
( ~ m2_relset_1(sK3,sK2,sK1)
| k1_funct_5(sK3) = k10_relset_1(sK1,sK2,k6_relset_1(sK2,sK1,sK3),sK1) ),
inference(instantiation,[status(thm)],[48]) ).
cnf(1,plain,
( k1_funct_5(sK3) != k10_relset_1(sK1,sK2,k6_relset_1(sK2,sK1,sK3),sK1)
| k10_relset_1(sK1,sK2,k6_relset_1(sK2,sK1,sK3),k10_relset_1(sK2,sK1,sK3,sK2)) != k10_relset_1(sK1,sK2,k6_relset_1(sK2,sK1,sK3),k2_funct_5(sK3)) ),
inference(cnf,[status(esa)],[t56_relset_2_negated]) ).
cnf(l2,plain,
( k1_funct_5(sK3) != k10_relset_1(sK1,sK2,k6_relset_1(sK2,sK1,sK3),sK1)
| k10_relset_1(sK1,sK2,k6_relset_1(sK2,sK1,sK3),k10_relset_1(sK2,sK1,sK3,sK2)) != k10_relset_1(sK1,sK2,k6_relset_1(sK2,sK1,sK3),k2_funct_5(sK3)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(49,plain,
( ~ m2_relset_1(X0,X1,X2)
| k2_funct_5(X0) = k10_relset_1(X1,X2,X0,X1) ),
inference(cnf,[status(esa)],[t51_relset_2]) ).
cnf(l29,plain,
( ~ m2_relset_1(sK3,sK2,sK1)
| k2_funct_5(sK3) = k10_relset_1(sK2,sK1,sK3,sK2) ),
inference(instantiation,[status(thm)],[49]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SEU444+1 : TPTP v9.0.0. Released v3.4.0.
% 0.07/0.15 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Jul 22 02:10:35 EDT 2025
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % launching worker at depth: 1
% 0.14/0.37 % launching worker at depth: 2
% 0.14/0.37 % launching worker at depth: 3
% 0.14/0.37 % launching worker at depth: 5
% 0.14/0.37 % launching worker at depth: 4
% 0.14/0.37 % launching worker at depth: 6
% 0.14/0.37 % launching worker at depth: 8
% 0.14/0.37 % launching worker at depth: 7
% 0.14/0.37 % launching worker at depth: 9
% 0.14/0.37 % launching worker at depth: 10
% 0.20/0.41 % launching worker at depth: 11
% 0.20/0.48 % SZS status Theorem for theBenchmark
% 0.20/0.48 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------