TSTP Solution File: GEO080+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO080+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 May 3 02:16:20 EDT 2024
% Result : Theorem 0.74s 1.14s
% Output : CNFRefutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 51 ( 22 ~; 16 |; 8 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 23 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn) ).
fof(f17,conjecture,
! [X0] : part_of(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_reflexivity) ).
fof(f18,negated_conjecture,
~ ! [X0] : part_of(X0,X0),
inference(negated_conjecture,[],[f17]) ).
fof(f34,plain,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f53,plain,
? [X0] : ~ part_of(X0,X0),
inference(ennf_transformation,[],[f18]) ).
fof(f54,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) )
| ~ part_of(X1,X0) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f55,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(rectify,[],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) )
=> ( ~ incident_c(sK0(X0,X1),X0)
& incident_c(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ( ~ incident_c(sK0(X0,X1),X0)
& incident_c(sK0(X0,X1),X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f55,f56]) ).
fof(f91,plain,
( ? [X0] : ~ part_of(X0,X0)
=> ~ part_of(sK13,sK13) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
~ part_of(sK13,sK13),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f53,f91]) ).
fof(f94,plain,
! [X0,X1] :
( part_of(X1,X0)
| incident_c(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f95,plain,
! [X0,X1] :
( part_of(X1,X0)
| ~ incident_c(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f134,plain,
~ part_of(sK13,sK13),
inference(cnf_transformation,[],[f92]) ).
cnf(c_49,plain,
( ~ incident_c(sK0(X0,X1),X0)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f95]) ).
cnf(c_50,plain,
( incident_c(sK0(X0,X1),X1)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_90,negated_conjecture,
~ part_of(sK13,sK13),
inference(cnf_transformation,[],[f134]) ).
cnf(c_98,plain,
( incident_c(sK0(sK13,sK13),sK13)
| part_of(sK13,sK13) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_101,plain,
( ~ incident_c(sK0(sK13,sK13),sK13)
| part_of(sK13,sK13) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_102,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_101,c_98,c_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEO080+1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 01:45:52 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.74/1.14 % SZS status Started for theBenchmark.p
% 0.74/1.14 % SZS status Theorem for theBenchmark.p
% 0.74/1.14
% 0.74/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.74/1.14
% 0.74/1.14 ------ iProver source info
% 0.74/1.14
% 0.74/1.14 git: date: 2024-05-02 19:28:25 +0000
% 0.74/1.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.74/1.14 git: non_committed_changes: false
% 0.74/1.14
% 0.74/1.14 ------ Parsing...
% 0.74/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.74/1.14
% 0.74/1.14 ------ Preprocessing...
% 0.74/1.14
% 0.74/1.14 % SZS status Theorem for theBenchmark.p
% 0.74/1.14
% 0.74/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.74/1.14
% 0.74/1.14
%------------------------------------------------------------------------------