TSTP Solution File: COL002-2 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COL002-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 May 3 02:09:27 EDT 2024
% Result : Unsatisfiable 34.58s 5.75s
% Output : CNFRefutation 34.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 11 unt; 0 nHn; 17 RR)
% Number of literals : 42 ( 37 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
apply(apply(X0,X1),apply(X2,X1)) = apply(apply(apply(s,X0),X2),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition) ).
cnf(c_50,plain,
apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
cnf(c_52,plain,
apply(i,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_definition) ).
cnf(c_53,plain,
( apply(fixed_pt,X0) != X0
| fixed_point(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',weak_fixed_point) ).
cnf(c_54,negated_conjecture,
~ fixed_point(apply(apply(apply(s,apply(b,X0)),i),apply(apply(s,apply(b,X0)),i))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_weak_fixed_point) ).
cnf(c_87,plain,
X0 = X0,
theory(equality) ).
cnf(c_89,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_242,plain,
apply(apply(apply(s,X0),i),X1) = apply(apply(X0,X1),X1),
inference(superposition,[status(thm)],[c_52,c_49]) ).
cnf(c_1267,plain,
( apply(fixed_pt,X0) != X1
| X0 != X1
| apply(fixed_pt,X0) = X0 ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_1269,plain,
( apply(fixed_pt,X0) != X1
| X2 != X1
| apply(fixed_pt,X0) = X2 ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_1270,plain,
( apply(fixed_pt,X0) != apply(X1,X2)
| X0 != apply(X1,X2)
| apply(fixed_pt,X0) = X0 ),
inference(instantiation,[status(thm)],[c_1267]) ).
cnf(c_1278,plain,
( apply(fixed_pt,X0) != apply(fixed_pt,X0)
| X1 != apply(fixed_pt,X0)
| apply(fixed_pt,X0) = X1 ),
inference(instantiation,[status(thm)],[c_1269]) ).
cnf(c_1293,plain,
( apply(apply(apply(b,fixed_pt),X0),X1) != apply(fixed_pt,apply(X0,X1))
| apply(fixed_pt,apply(X0,X1)) != apply(fixed_pt,apply(X0,X1))
| apply(fixed_pt,apply(X0,X1)) = apply(apply(apply(b,fixed_pt),X0),X1) ),
inference(instantiation,[status(thm)],[c_1278]) ).
cnf(c_1396,plain,
( apply(fixed_pt,apply(X0,X1)) != apply(apply(apply(b,fixed_pt),X0),X1)
| apply(X0,X1) != apply(apply(apply(b,fixed_pt),X0),X1)
| apply(fixed_pt,apply(X0,X1)) = apply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1270]) ).
cnf(c_1641,plain,
( apply(fixed_pt,apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))) != apply(apply(apply(b,fixed_pt),apply(apply(s,apply(b,fixed_pt)),i)),apply(apply(s,apply(b,fixed_pt)),i))
| apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i)) != apply(apply(apply(b,fixed_pt),apply(apply(s,apply(b,fixed_pt)),i)),apply(apply(s,apply(b,fixed_pt)),i))
| apply(fixed_pt,apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))) = apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i)) ),
inference(instantiation,[status(thm)],[c_1396]) ).
cnf(c_1742,plain,
apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i)) = apply(apply(apply(b,fixed_pt),apply(apply(s,apply(b,fixed_pt)),i)),apply(apply(s,apply(b,fixed_pt)),i)),
inference(instantiation,[status(thm)],[c_242]) ).
cnf(c_2918,plain,
( apply(apply(apply(b,fixed_pt),apply(apply(s,apply(b,fixed_pt)),i)),apply(apply(s,apply(b,fixed_pt)),i)) != apply(fixed_pt,apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i)))
| apply(fixed_pt,apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))) != apply(fixed_pt,apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i)))
| apply(fixed_pt,apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))) = apply(apply(apply(b,fixed_pt),apply(apply(s,apply(b,fixed_pt)),i)),apply(apply(s,apply(b,fixed_pt)),i)) ),
inference(instantiation,[status(thm)],[c_1293]) ).
cnf(c_6332,plain,
apply(apply(apply(b,fixed_pt),apply(apply(s,apply(b,fixed_pt)),i)),apply(apply(s,apply(b,fixed_pt)),i)) = apply(fixed_pt,apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_7052,plain,
apply(fixed_pt,apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))) = apply(fixed_pt,apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_7520,plain,
( apply(fixed_pt,apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))) != apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))
| fixed_point(apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_8806,plain,
~ fixed_point(apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_8807,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_8806,c_7520,c_7052,c_6332,c_2918,c_1742,c_1641]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL002-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 21:23:36 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 34.58/5.75 % SZS status Started for theBenchmark.p
% 34.58/5.75 % SZS status Unsatisfiable for theBenchmark.p
% 34.58/5.75
% 34.58/5.75 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 34.58/5.75
% 34.58/5.75 ------ iProver source info
% 34.58/5.75
% 34.58/5.75 git: date: 2024-05-02 19:28:25 +0000
% 34.58/5.75 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 34.58/5.75 git: non_committed_changes: false
% 34.58/5.75
% 34.58/5.75 ------ Parsing...successful
% 34.58/5.75
% 34.58/5.75
% 34.58/5.75
% 34.58/5.75 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 34.58/5.75
% 34.58/5.75 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 34.58/5.75
% 34.58/5.75 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 34.58/5.75 ------ Proving...
% 34.58/5.75 ------ Problem Properties
% 34.58/5.75
% 34.58/5.75
% 34.58/5.75 clauses 6
% 34.58/5.75 conjectures 1
% 34.58/5.75 EPR 0
% 34.58/5.75 Horn 6
% 34.58/5.75 unary 5
% 34.58/5.75 binary 1
% 34.58/5.75 lits 7
% 34.58/5.75 lits eq 5
% 34.58/5.75 fd_pure 0
% 34.58/5.75 fd_pseudo 0
% 34.58/5.75 fd_cond 0
% 34.58/5.75 fd_pseudo_cond 0
% 34.58/5.75 AC symbols 0
% 34.58/5.75
% 34.58/5.75 ------ Input Options Time Limit: Unbounded
% 34.58/5.75
% 34.58/5.75
% 34.58/5.75 ------
% 34.58/5.75 Current options:
% 34.58/5.75 ------
% 34.58/5.75
% 34.58/5.75
% 34.58/5.75
% 34.58/5.75
% 34.58/5.75 ------ Proving...
% 34.58/5.75
% 34.58/5.75
% 34.58/5.75 % SZS status Unsatisfiable for theBenchmark.p
% 34.58/5.75
% 34.58/5.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 34.58/5.75
% 34.58/5.75
%------------------------------------------------------------------------------