%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU080+1 : TPTP v9.0.0. Released v3.2.0.
% 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 03:44:27 PM UTC 2025
% Result : Theorem 7.19s 1.23s
% Output : CNFRefutation 7.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 15 unt; 0 def)
% Number of atoms : 64 ( 16 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 59 ( 23 ~; 20 |; 9 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t161_funct_1,plain,
! [A,B,C] :
( ( relation(C)
& function(C) )
=> ( ( relation_inverse_image(C,A) = relation_inverse_image(C,B)
& subset(A,relation_rng(C))
& subset(B,relation_rng(C)) )
=> A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t161_funct_1) ).
fof(t161_funct_1_negated,plain,
~ ! [A,B,C] :
( ( relation(C)
& function(C) )
=> ( ( relation_inverse_image(C,A) = relation_inverse_image(C,B)
& subset(A,relation_rng(C))
& subset(B,relation_rng(C)) )
=> A = B ) ),
inference(negate_conjecture,[status(cth)],[t161_funct_1]) ).
cnf(40,plain,
relation(sK14),
inference(cnf,[status(esa)],[t161_funct_1_negated]) ).
cnf(l0,plain,
relation(sK14),
inference(instantiation,[status(thm)],[40]) ).
fof(t158_funct_1,plain,
! [A,B,C] :
( ( relation(C)
& function(C) )
=> ( ( subset(relation_inverse_image(C,A),relation_inverse_image(C,B))
& subset(A,relation_rng(C)) )
=> subset(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t158_funct_1) ).
cnf(39,plain,
( ~ function(X0)
| ~ relation(X0)
| ~ subset(X1,relation_rng(X0))
| ~ subset(relation_inverse_image(X0,X1),relation_inverse_image(X0,X2))
| subset(X1,X2) ),
inference(cnf,[status(esa)],[t158_funct_1]) ).
cnf(l1,plain,
( ~ function(sK14)
| ~ relation(sK14)
| ~ subset(sK13,relation_rng(sK14))
| ~ subset(relation_inverse_image(sK14,sK13),relation_inverse_image(sK14,sK12))
| subset(sK13,sK12) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(41,plain,
function(sK14),
inference(cnf,[status(esa)],[t161_funct_1_negated]) ).
cnf(l2,plain,
function(sK14),
inference(instantiation,[status(thm)],[41]) ).
fof(d10_xboole_0,plain,
! [A,B] :
( A = B
<=> ( subset(A,B)
& subset(B,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
cnf(6,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
cnf(l104,plain,
( ~ subset(sK12,sK13)
| ~ subset(sK13,sK12)
| sK12 = sK13 ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l105,plain,
( ~ function(sK14)
| ~ relation(sK14)
| ~ subset(sK12,relation_rng(sK14))
| ~ subset(relation_inverse_image(sK14,sK12),relation_inverse_image(sK14,sK13))
| subset(sK12,sK13) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(5,plain,
( X0 != X1
| subset(X1,X0) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
cnf(l70,plain,
( relation_inverse_image(sK14,sK12) != relation_inverse_image(sK14,sK13)
| subset(relation_inverse_image(sK14,sK13),relation_inverse_image(sK14,sK12)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(42,plain,
relation_inverse_image(sK14,sK12) = relation_inverse_image(sK14,sK13),
inference(cnf,[status(esa)],[t161_funct_1_negated]) ).
cnf(l71,plain,
relation_inverse_image(sK14,sK12) = relation_inverse_image(sK14,sK13),
inference(instantiation,[status(thm)],[42]) ).
cnf(44,plain,
subset(sK13,relation_rng(sK14)),
inference(cnf,[status(esa)],[t161_funct_1_negated]) ).
cnf(l3,plain,
subset(sK13,relation_rng(sK14)),
inference(instantiation,[status(thm)],[44]) ).
cnf(l220,plain,
function(sK14),
inference(instantiation,[status(thm)],[41]) ).
cnf(4,plain,
( X0 != X1
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
cnf(l257,plain,
( relation_inverse_image(sK14,sK12) != relation_inverse_image(sK14,sK13)
| subset(relation_inverse_image(sK14,sK12),relation_inverse_image(sK14,sK13)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(43,plain,
subset(sK12,relation_rng(sK14)),
inference(cnf,[status(esa)],[t161_funct_1_negated]) ).
cnf(l253,plain,
subset(sK12,relation_rng(sK14)),
inference(instantiation,[status(thm)],[43]) ).
cnf(l281,plain,
relation_inverse_image(sK14,sK12) = relation_inverse_image(sK14,sK13),
inference(instantiation,[status(thm)],[42]) ).
cnf(45,plain,
sK12 != sK13,
inference(cnf,[status(esa)],[t161_funct_1_negated]) ).
cnf(l106,plain,
sK12 != sK13,
inference(instantiation,[status(thm)],[45]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l104,l105,l70,l71,l3,l220,l257,l253,l281,l106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU080+1 : TPTP v9.0.0. Released v3.2.0.
% 0.04/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 23:25:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.20/0.43 % launching worker at depth: 11
% 7.19/1.23 % SZS status Theorem for theBenchmark
% 7.19/1.23 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------