%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU020+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 03:44:23 PM UTC 2025
% Result : Theorem 96.37s 12.45s
% Output : CNFRefutation 96.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 22 unt; 0 def)
% Number of atoms : 75 ( 12 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 69 ( 25 ~; 22 |; 12 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 1 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t53_funct_1,plain,
! [A] :
( ( relation(A)
& function(A) )
=> ( ? [B] :
( relation(B)
& function(B)
& relation_composition(A,B) = identity_relation(relation_dom(A)) )
=> one_to_one(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_funct_1) ).
fof(t53_funct_1_negated,plain,
~ ! [A] :
( ( relation(A)
& function(A) )
=> ( ? [B] :
( relation(B)
& function(B)
& relation_composition(A,B) = identity_relation(relation_dom(A)) )
=> one_to_one(A) ) ),
inference(negate_conjecture,[status(cth)],[t53_funct_1]) ).
cnf(50,plain,
relation(sK10),
inference(cnf,[status(esa)],[t53_funct_1_negated]) ).
cnf(l0,plain,
relation(sK10),
inference(instantiation,[status(thm)],[50]) ).
fof(t47_funct_1,plain,
! [A] :
( ( relation(A)
& function(A) )
=> ! [B] :
( ( relation(B)
& function(B) )
=> ( ( one_to_one(relation_composition(B,A))
& subset(relation_rng(B),relation_dom(A)) )
=> one_to_one(B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_funct_1) ).
cnf(47,plain,
( ~ function(X0)
| ~ function(X1)
| ~ relation(X0)
| ~ relation(X1)
| ~ subset(relation_rng(X1),relation_dom(X0))
| ~ one_to_one(relation_composition(X1,X0))
| one_to_one(X1) ),
inference(cnf,[status(esa)],[t47_funct_1]) ).
cnf(l1,plain,
( ~ function(sK11)
| ~ function(sK10)
| ~ relation(sK11)
| ~ relation(sK10)
| ~ subset(relation_rng(sK10),relation_dom(sK11))
| ~ one_to_one(relation_composition(sK10,sK11))
| one_to_one(sK10) ),
inference(instantiation,[status(thm)],[47]) ).
cnf(55,plain,
~ one_to_one(sK10),
inference(cnf,[status(esa)],[t53_funct_1_negated]) ).
cnf(l492,plain,
~ one_to_one(sK10),
inference(instantiation,[status(thm)],[55]) ).
fof(t27_funct_1,plain,
! [A] :
( ( relation(A)
& function(A) )
=> ! [B] :
( ( relation(B)
& function(B) )
=> ( relation_dom(relation_composition(B,A)) = relation_dom(B)
=> subset(relation_rng(B),relation_dom(A)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_funct_1) ).
cnf(43,plain,
( ~ function(X0)
| ~ function(X1)
| ~ relation(X0)
| ~ relation(X1)
| relation_dom(relation_composition(X1,X0)) != relation_dom(X1)
| subset(relation_rng(X1),relation_dom(X0)) ),
inference(cnf,[status(esa)],[t27_funct_1]) ).
cnf(l120,plain,
( ~ function(sK11)
| ~ function(sK10)
| ~ relation(sK11)
| ~ relation(sK10)
| relation_dom(relation_composition(sK10,sK11)) != relation_dom(sK10)
| subset(relation_rng(sK10),relation_dom(sK11)) ),
inference(instantiation,[status(thm)],[43]) ).
cnf(53,plain,
function(sK11),
inference(cnf,[status(esa)],[t53_funct_1_negated]) ).
cnf(l140,plain,
function(sK11),
inference(instantiation,[status(thm)],[53]) ).
cnf(l32,plain,
function(sK11),
inference(instantiation,[status(thm)],[53]) ).
fof(t52_funct_1,plain,
! [A] : one_to_one(identity_relation(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_funct_1) ).
cnf(49,plain,
one_to_one(identity_relation(X0)),
inference(cnf,[status(esa)],[t52_funct_1]) ).
cnf(l495,plain,
one_to_one(identity_relation(relation_dom(sK10))),
inference(instantiation,[status(thm)],[49]) ).
cnf(51,plain,
function(sK10),
inference(cnf,[status(esa)],[t53_funct_1_negated]) ).
cnf(l234,plain,
function(sK10),
inference(instantiation,[status(thm)],[51]) ).
cnf(52,plain,
relation(sK11),
inference(cnf,[status(esa)],[t53_funct_1_negated]) ).
cnf(l2,plain,
relation(sK11),
inference(instantiation,[status(thm)],[52]) ).
cnf(l132,plain,
function(sK10),
inference(instantiation,[status(thm)],[51]) ).
cnf(54,plain,
relation_composition(sK10,sK11) = identity_relation(relation_dom(sK10)),
inference(cnf,[status(esa)],[t53_funct_1_negated]) ).
cnf(l491,plain,
relation_composition(sK10,sK11) = identity_relation(relation_dom(sK10)),
inference(instantiation,[status(thm)],[54]) ).
cnf(l142,plain,
relation(sK11),
inference(instantiation,[status(thm)],[52]) ).
cnf(l133,plain,
relation_composition(sK10,sK11) = identity_relation(relation_dom(sK10)),
inference(instantiation,[status(thm)],[54]) ).
fof(t71_relat_1,plain,
! [A] :
( relation_dom(identity_relation(A)) = A
& relation_rng(identity_relation(A)) = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_relat_1) ).
cnf(58,plain,
relation_dom(identity_relation(X0)) = X0,
inference(cnf,[status(esa)],[t71_relat_1]) ).
cnf(l134,plain,
relation_dom(identity_relation(relation_dom(sK10))) = relation_dom(sK10),
inference(instantiation,[status(thm)],[58]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l492,l120,l140,l32,l495,l234,l2,l132,l491,l142,l133,l134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU020+1 : TPTP v9.0.0. Released v3.2.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 23:15:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.19/0.43 % launching worker at depth: 11
% 96.37/12.45 % SZS status Theorem for theBenchmark
% 96.37/12.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------