TSTP Solution File: COL042-5 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COL042-5 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 02:09:38 EDT 2024
% Result : Unsatisfiable 9.36s 2.18s
% Output : CNFRefutation 9.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 11 unt; 0 nHn; 7 RR)
% Number of literals : 15 ( 12 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
cnf(c_50,plain,
apply(apply(X0,X1),X1) = apply(apply(w1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w1_definition) ).
cnf(c_51,plain,
( apply(fixed_pt,apply(X0,fixed_pt)) != apply(X0,fixed_pt)
| fixed_point(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',strong_fixed_point) ).
cnf(c_52,negated_conjecture,
~ fixed_point(apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
cnf(c_73,plain,
( apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b))) != X0
| apply(fixed_pt,apply(X0,fixed_pt)) != apply(X0,fixed_pt) ),
inference(resolution_lifted,[status(thm)],[c_51,c_52]) ).
cnf(c_74,plain,
apply(fixed_pt,apply(apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b))),fixed_pt)) != apply(apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b))),fixed_pt),
inference(unflattening,[status(thm)],[c_73]) ).
cnf(c_85,plain,
apply(fixed_pt,apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,fixed_pt))))) != apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,fixed_pt)))),
inference(demodulation,[status(thm)],[c_74,c_49]) ).
cnf(c_132,plain,
apply(apply(w1,X0),apply(apply(b,X1),X2)) = apply(apply(X1,apply(X2,X0)),X0),
inference(superposition,[status(thm)],[c_49,c_50]) ).
cnf(c_136,plain,
apply(fixed_pt,apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),w1)) != apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),w1),
inference(demodulation,[status(thm)],[c_85,c_132]) ).
cnf(c_391,plain,
apply(apply(w1,X0),apply(apply(b,apply(b,X1)),X2)) = apply(X1,apply(apply(X2,X0),X0)),
inference(superposition,[status(thm)],[c_132,c_49]) ).
cnf(c_6693,plain,
apply(apply(w1,X0),apply(apply(b,apply(b,X1)),X2)) = apply(X1,apply(apply(w1,X0),X2)),
inference(superposition,[status(thm)],[c_50,c_391]) ).
cnf(c_14271,plain,
apply(X0,apply(apply(w1,apply(apply(b,apply(b,X0)),X1)),X1)) = apply(apply(w1,apply(apply(b,apply(b,X0)),X1)),w1),
inference(superposition,[status(thm)],[c_6693,c_50]) ).
cnf(c_14310,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_136,c_14271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL042-5 : TPTP v8.1.2. Released v1.2.0.
% 0.13/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n013.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 21:21:04 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 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
% 9.36/2.18 % SZS status Started for theBenchmark.p
% 9.36/2.18 % SZS status Unsatisfiable for theBenchmark.p
% 9.36/2.18
% 9.36/2.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 9.36/2.18
% 9.36/2.18 ------ iProver source info
% 9.36/2.18
% 9.36/2.18 git: date: 2024-05-02 19:28:25 +0000
% 9.36/2.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 9.36/2.18 git: non_committed_changes: false
% 9.36/2.18
% 9.36/2.18 ------ Parsing...successful
% 9.36/2.18
% 9.36/2.18
% 9.36/2.18
% 9.36/2.18 ------ 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 pe_e
% 9.36/2.18
% 9.36/2.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.36/2.18
% 9.36/2.18 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 9.36/2.18 ------ Proving...
% 9.36/2.18 ------ Problem Properties
% 9.36/2.18
% 9.36/2.18
% 9.36/2.18 clauses 3
% 9.36/2.18 conjectures 0
% 9.36/2.18 EPR 0
% 9.36/2.18 Horn 3
% 9.36/2.18 unary 3
% 9.36/2.18 binary 0
% 9.36/2.18 lits 3
% 9.36/2.18 lits eq 3
% 9.36/2.18 fd_pure 0
% 9.36/2.18 fd_pseudo 0
% 9.36/2.18 fd_cond 0
% 9.36/2.18 fd_pseudo_cond 0
% 9.36/2.18 AC symbols 0
% 9.36/2.18
% 9.36/2.18 ------ Schedule UEQ
% 9.36/2.18
% 9.36/2.18 ------ Option_UEQ Time Limit: 10.
% 9.36/2.18
% 9.36/2.18
% 9.36/2.18 ------
% 9.36/2.18 Current options:
% 9.36/2.18 ------
% 9.36/2.18
% 9.36/2.18
% 9.36/2.18
% 9.36/2.18
% 9.36/2.18 ------ Proving...
% 9.36/2.18
% 9.36/2.18
% 9.36/2.18 % SZS status Unsatisfiable for theBenchmark.p
% 9.36/2.18
% 9.36/2.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.36/2.18
% 9.36/2.18
%------------------------------------------------------------------------------