%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU025+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 : n024.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 131.43s 16.76s
% Output : CNFRefutation 131.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 43 ( 23 unt; 0 def)
% Number of atoms : 99 ( 21 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 94 ( 38 ~; 35 |; 8 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 18 ( 1 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t58_funct_1,plain,
! [A] :
( ( relation(A)
& function(A) )
=> ( one_to_one(A)
=> ( relation_dom(relation_composition(A,function_inverse(A))) = relation_dom(A)
& relation_rng(relation_composition(A,function_inverse(A))) = relation_dom(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_funct_1) ).
fof(t58_funct_1_negated,plain,
~ ! [A] :
( ( relation(A)
& function(A) )
=> ( one_to_one(A)
=> ( relation_dom(relation_composition(A,function_inverse(A))) = relation_dom(A)
& relation_rng(relation_composition(A,function_inverse(A))) = relation_dom(A) ) ) ),
inference(negate_conjecture,[status(cth)],[t58_funct_1]) ).
cnf(60,plain,
( relation_rng(relation_composition(sK12,function_inverse(sK12))) != relation_dom(sK12)
| relation_dom(relation_composition(sK12,function_inverse(sK12))) != relation_dom(sK12) ),
inference(cnf,[status(esa)],[t58_funct_1_negated]) ).
cnf(l0,plain,
( relation_rng(relation_composition(sK12,function_inverse(sK12))) != relation_dom(sK12)
| relation_dom(relation_composition(sK12,function_inverse(sK12))) != relation_dom(sK12) ),
inference(instantiation,[status(thm)],[60]) ).
fof(t46_relat_1,plain,
! [A] :
( relation(A)
=> ! [B] :
( relation(B)
=> ( subset(relation_rng(A),relation_dom(B))
=> relation_dom(relation_composition(A,B)) = relation_dom(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_relat_1) ).
cnf(52,plain,
( ~ relation(X0)
| ~ relation(X1)
| ~ subset(relation_rng(X0),relation_dom(X1))
| relation_dom(relation_composition(X0,X1)) = relation_dom(X0) ),
inference(cnf,[status(esa)],[t46_relat_1]) ).
cnf(l485,plain,
( ~ relation(sK12)
| ~ relation(function_inverse(sK12))
| ~ subset(relation_rng(sK12),relation_dom(function_inverse(sK12)))
| relation_dom(relation_composition(sK12,function_inverse(sK12))) = relation_dom(sK12) ),
inference(instantiation,[status(thm)],[52]) ).
fof(dt_k2_funct_1,plain,
! [A] :
( ( relation(A)
& function(A) )
=> ( relation(function_inverse(A))
& function(function_inverse(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1) ).
cnf(4,plain,
( ~ function(X0)
| ~ relation(X0)
| relation(function_inverse(X0)) ),
inference(cnf,[status(esa)],[dt_k2_funct_1]) ).
cnf(l486,plain,
( ~ function(sK12)
| ~ relation(sK12)
| relation(function_inverse(sK12)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(58,plain,
function(sK12),
inference(cnf,[status(esa)],[t58_funct_1_negated]) ).
cnf(l489,plain,
function(sK12),
inference(instantiation,[status(thm)],[58]) ).
cnf(57,plain,
relation(sK12),
inference(cnf,[status(esa)],[t58_funct_1_negated]) ).
cnf(l514,plain,
relation(sK12),
inference(instantiation,[status(thm)],[57]) ).
fof(t47_relat_1,plain,
! [A] :
( relation(A)
=> ! [B] :
( relation(B)
=> ( subset(relation_dom(A),relation_rng(B))
=> relation_rng(relation_composition(B,A)) = relation_rng(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_relat_1) ).
cnf(53,plain,
( ~ relation(X0)
| ~ relation(X1)
| ~ subset(relation_dom(X0),relation_rng(X1))
| relation_rng(relation_composition(X1,X0)) = relation_rng(X0) ),
inference(cnf,[status(esa)],[t47_relat_1]) ).
cnf(l2,plain,
( ~ relation(function_inverse(sK12))
| ~ relation(sK12)
| ~ subset(relation_dom(function_inverse(sK12)),relation_rng(sK12))
| relation_rng(relation_composition(sK12,function_inverse(sK12))) = relation_rng(function_inverse(sK12)) ),
inference(instantiation,[status(thm)],[53]) ).
fof(t55_funct_1,plain,
! [A] :
( ( relation(A)
& function(A) )
=> ( one_to_one(A)
=> ( relation_rng(A) = relation_dom(function_inverse(A))
& relation_dom(A) = relation_rng(function_inverse(A)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).
cnf(56,plain,
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| relation_dom(X0) = relation_rng(function_inverse(X0)) ),
inference(cnf,[status(esa)],[t55_funct_1]) ).
cnf(l154,plain,
( ~ function(sK12)
| ~ relation(sK12)
| ~ one_to_one(sK12)
| relation_dom(sK12) = relation_rng(function_inverse(sK12)) ),
inference(instantiation,[status(thm)],[56]) ).
cnf(l4,plain,
relation(sK12),
inference(instantiation,[status(thm)],[57]) ).
cnf(l155,plain,
function(sK12),
inference(instantiation,[status(thm)],[58]) ).
cnf(l158,plain,
relation(sK12),
inference(instantiation,[status(thm)],[57]) ).
fof(reflexivity_r1_tarski,plain,
! [A,B] : subset(A,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(47,plain,
subset(X0,X0),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
cnf(l633,plain,
subset(relation_dom(function_inverse(sK12)),relation_dom(function_inverse(sK12))),
inference(instantiation,[status(thm)],[47]) ).
cnf(l47,plain,
( ~ function(sK12)
| ~ relation(sK12)
| relation(function_inverse(sK12)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(59,plain,
one_to_one(sK12),
inference(cnf,[status(esa)],[t58_funct_1_negated]) ).
cnf(l177,plain,
one_to_one(sK12),
inference(instantiation,[status(thm)],[59]) ).
cnf(55,plain,
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| relation_rng(X0) = relation_dom(function_inverse(X0)) ),
inference(cnf,[status(esa)],[t55_funct_1]) ).
cnf(l619,plain,
( ~ function(sK12)
| ~ relation(sK12)
| ~ one_to_one(sK12)
| relation_rng(sK12) = relation_dom(function_inverse(sK12)) ),
inference(instantiation,[status(thm)],[55]) ).
cnf(l624,plain,
relation(sK12),
inference(instantiation,[status(thm)],[57]) ).
cnf(l65,plain,
( ~ function(sK12)
| ~ relation(sK12)
| ~ one_to_one(sK12)
| relation_rng(sK12) = relation_dom(function_inverse(sK12)) ),
inference(instantiation,[status(thm)],[55]) ).
cnf(l192,plain,
relation(sK12),
inference(instantiation,[status(thm)],[57]) ).
cnf(l187,plain,
function(sK12),
inference(instantiation,[status(thm)],[58]) ).
cnf(l60,plain,
subset(relation_rng(sK12),relation_rng(sK12)),
inference(instantiation,[status(thm)],[47]) ).
cnf(l620,plain,
function(sK12),
inference(instantiation,[status(thm)],[58]) ).
cnf(l488,plain,
relation(sK12),
inference(instantiation,[status(thm)],[57]) ).
cnf(l69,plain,
one_to_one(sK12),
inference(instantiation,[status(thm)],[59]) ).
cnf(l66,plain,
relation(sK12),
inference(instantiation,[status(thm)],[57]) ).
cnf(l67,plain,
function(sK12),
inference(instantiation,[status(thm)],[58]) ).
cnf(l625,plain,
one_to_one(sK12),
inference(instantiation,[status(thm)],[59]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l485,l486,l489,l514,l2,l154,l4,l155,l158,l633,l47,l177,l619,l624,l65,l192,l187,l60,l620,l488,l69,l66,l67,l625]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07 % Problem : SEU025+1 : TPTP v9.0.0. Released v3.2.0.
% 0.01/0.07 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26 % Computer : n024.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Jul 21 23:15:34 EDT 2025
% 0.11/0.26 % CPUTime :
% 0.11/0.26 % launching worker at depth: 1
% 0.11/0.26 % launching worker at depth: 8
% 0.11/0.26 % launching worker at depth: 3
% 0.11/0.26 % launching worker at depth: 7
% 0.11/0.26 % launching worker at depth: 4
% 0.11/0.26 % launching worker at depth: 5
% 0.11/0.26 % launching worker at depth: 6
% 0.11/0.26 % launching worker at depth: 2
% 0.11/0.26 % launching worker at depth: 9
% 0.11/0.27 % launching worker at depth: 10
% 0.11/0.29 % launching worker at depth: 11
% 3.10/0.67 % launching worker at depth: 12
% 131.43/16.76 % SZS status Theorem for theBenchmark
% 131.43/16.76 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------