%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU219+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.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 02:56:09 PM UTC 2026
% Result : Theorem 2.03s 1.42s
% Output : CNFRefutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 32 ( 8 unt; 0 def)
% Number of atoms : 88 ( 36 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 96 ( 40 ~; 33 |; 16 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn 14 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> function_inverse(X0) = relation_inverse(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_funct_1) ).
fof(f10,axiom,
! [X0] :
( relation(X0)
=> ( relation_dom(X0) = relation_rng(relation_inverse(X0))
& relation_rng(X0) = relation_dom(relation_inverse(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_relat_1) ).
fof(f11,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ( relation_dom(X0) = relation_rng(function_inverse(X0))
& relation_rng(X0) = relation_dom(function_inverse(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t55_funct_1) ).
fof(f12,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ( relation_dom(X0) = relation_rng(function_inverse(X0))
& relation_rng(X0) = relation_dom(function_inverse(X0)) ) ) ),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f13,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| function_inverse(X0) = relation_inverse(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f14,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| function_inverse(X0) = relation_inverse(X0) ),
inference(flattening,[],[f13]) ).
fof(f21,plain,
! [X0] :
( ~ relation(X0)
| ( relation_dom(X0) = relation_rng(relation_inverse(X0))
& relation_rng(X0) = relation_dom(relation_inverse(X0)) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f22,plain,
? [X0] :
( function(X0)
& relation(X0)
& one_to_one(X0)
& ( relation_dom(X0) != relation_rng(function_inverse(X0))
| relation_rng(X0) != relation_dom(function_inverse(X0)) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f23,plain,
? [X0] :
( function(X0)
& relation(X0)
& one_to_one(X0)
& ( relation_dom(X0) != relation_rng(function_inverse(X0))
| relation_rng(X0) != relation_dom(function_inverse(X0)) ) ),
inference(flattening,[],[f22]) ).
fof(f26,plain,
( function(sK2)
& relation(sK2)
& one_to_one(sK2)
& ( relation_dom(sK2) != relation_rng(function_inverse(sK2))
| relation_rng(sK2) != relation_dom(function_inverse(sK2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f23]) ).
fof(f27,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| function_inverse(X0) = relation_inverse(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f39,plain,
! [X0] :
( ~ relation(X0)
| relation_dom(X0) = relation_rng(relation_inverse(X0)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f40,plain,
! [X0] :
( ~ relation(X0)
| relation_rng(X0) = relation_dom(relation_inverse(X0)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f41,plain,
function(sK2),
inference(cnf_transformation,[],[f26]) ).
fof(f42,plain,
relation(sK2),
inference(cnf_transformation,[],[f26]) ).
fof(f43,plain,
one_to_one(sK2),
inference(cnf_transformation,[],[f26]) ).
fof(f44,plain,
( relation_dom(sK2) != relation_rng(function_inverse(sK2))
| relation_rng(sK2) != relation_dom(function_inverse(sK2)) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_49,plain,
! [X0: $i] :
( ( function_inverse(X0) = relation_inverse(X0) )
| ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_61,plain,
! [X0: $i] :
( ( relation_dom(relation_inverse(X0)) = relation_rng(X0) )
| ~ relation(X0) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_62,plain,
! [X0: $i] :
( ( relation_rng(relation_inverse(X0)) = relation_dom(X0) )
| ~ relation(X0) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_63,negated_conjecture,
( ( relation_dom(function_inverse(sK2)) != relation_rng(sK2) )
| ( relation_rng(function_inverse(sK2)) != relation_dom(sK2) ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_64,negated_conjecture,
one_to_one(sK2),
inference(cnf_transformation,[],[f43]) ).
tcf(c_65,negated_conjecture,
relation(sK2),
inference(cnf_transformation,[],[f42]) ).
tcf(c_66,negated_conjecture,
function(sK2),
inference(cnf_transformation,[],[f41]) ).
tcf(c_71,plain,
( ( relation_rng(relation_inverse(sK2)) = relation_dom(sK2) )
| ~ relation(sK2) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_72,plain,
( ( relation_dom(relation_inverse(sK2)) = relation_rng(sK2) )
| ~ relation(sK2) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_75,plain,
( ( function_inverse(sK2) = relation_inverse(sK2) )
| ~ function(sK2)
| ~ relation(sK2)
| ~ one_to_one(sK2) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_219,plain,
! [X0: $i] :
( ( function_inverse(X0) = relation_inverse(X0) )
| ~ function(X0)
| ~ relation(X0)
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_64]) ).
tcf(c_220,plain,
( ( function_inverse(sK2) = relation_inverse(sK2) )
| ~ function(sK2)
| ~ relation(sK2) ),
inference(unflattening,[status(thm)],[c_219]) ).
tcf(c_221,plain,
function_inverse(sK2) = relation_inverse(sK2),
inference(global_subsumption_just,[status(thm)],[c_220,c_66,c_65,c_64,c_75]) ).
tcf(c_308,plain,
( ( relation_dom(relation_inverse(sK2)) != relation_rng(sK2) )
| ( relation_rng(relation_inverse(sK2)) != relation_dom(sK2) ) ),
inference(light_normalisation,[status(thm)],[c_63,c_221]) ).
tcf(c_324,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_308,c_72,c_71,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU219+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 13:13:52 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.44
% 0.09/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.44
% 0.09/0.44 % Detected problem language: tptp
% 0.09/0.46 % Proving...
% 2.03/1.42 % SZS status Started for theBenchmark.p
% 2.03/1.42 % SZS status Theorem for theBenchmark.p
% 2.03/1.42
% 2.03/1.42 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.03/1.42
% 2.03/1.42 % ------ iProver source info
% 2.03/1.42
% 2.03/1.42 % git: date: 2026-07-19 20:42:38 +0200
% 2.03/1.42 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.03/1.42 % git: non_committed_changes: false
% 2.03/1.42
% 2.03/1.42 % ------ Parsing...
% 2.03/1.42 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.03/1.42
% 2.03/1.42 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 1 sf_s rm: 2 0s sf_e pe_s %
% 2.03/1.42
% 2.03/1.42 % SZS status Theorem for theBenchmark.p
% 2.03/1.42
% 2.03/1.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.03/1.42
% 2.03/1.42
%------------------------------------------------------------------------------