TSTP Solution File: COL044-5 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COL044-5 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n003.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 02:09:39 EDT 2024
% Result : Unsatisfiable 3.95s 1.15s
% Output : CNFRefutation 3.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of clauses : 21 ( 19 unt; 0 nHn; 10 RR)
% Number of literals : 23 ( 20 equ; 10 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 14 ( 3 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 : 36 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
cnf(c_50,plain,
apply(apply(apply(X0,X1),X2),X1) = apply(apply(apply(n,X0),X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_definition) ).
cnf(c_51,plain,
( apply(fixed_pt,apply(X0,fixed_pt)) != apply(X0,fixed_pt)
| fixed_point(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',strong_fixed_point) ).
cnf(c_52,negated_conjecture,
~ fixed_point(apply(apply(b,apply(apply(b,apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(n,apply(b,b)))))),n)),b)),b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
cnf(c_73,plain,
( apply(apply(b,apply(apply(b,apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(n,apply(b,b)))))),n)),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(apply(b,apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(n,apply(b,b)))))),n)),b)),b),fixed_pt)) != apply(apply(apply(b,apply(apply(b,apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(n,apply(b,b)))))),n)),b)),b),fixed_pt),
inference(unflattening,[status(thm)],[c_73]) ).
cnf(c_85,plain,
apply(fixed_pt,apply(apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(n,apply(b,b)))))),n),apply(b,apply(b,fixed_pt)))) != apply(apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(n,apply(b,b)))))),n),apply(b,apply(b,fixed_pt))),
inference(demodulation,[status(thm)],[c_74,c_49]) ).
cnf(c_116,plain,
apply(apply(apply(n,apply(b,X0)),X1),X2) = apply(apply(X0,apply(X2,X1)),X2),
inference(superposition,[status(thm)],[c_49,c_50]) ).
cnf(c_119,plain,
apply(apply(apply(n,apply(apply(b,X0),X1)),X2),X3) = apply(apply(apply(X0,apply(X1,X3)),X2),X3),
inference(superposition,[status(thm)],[c_49,c_50]) ).
cnf(c_125,plain,
apply(apply(apply(apply(n,X0),X1),X2),X1) = apply(apply(apply(n,apply(X0,X2)),X2),X1),
inference(superposition,[status(thm)],[c_50,c_50]) ).
cnf(c_204,plain,
apply(apply(apply(apply(n,apply(b,b)),X0),X1),X2) = apply(apply(X1,X0),apply(X1,X2)),
inference(superposition,[status(thm)],[c_116,c_49]) ).
cnf(c_205,plain,
apply(apply(apply(n,apply(b,apply(b,X0))),X1),X2) = apply(X0,apply(apply(X2,X1),X2)),
inference(superposition,[status(thm)],[c_116,c_49]) ).
cnf(c_279,plain,
apply(apply(apply(n,apply(X0,X1)),X1),X2) = apply(apply(apply(n,apply(n,X0)),X1),X2),
inference(demodulation,[status(thm)],[c_125,c_50]) ).
cnf(c_286,plain,
apply(apply(apply(n,apply(n,apply(apply(b,X0),X1))),X2),X3) = apply(apply(apply(n,apply(X0,apply(X1,X2))),X2),X3),
inference(superposition,[status(thm)],[c_49,c_279]) ).
cnf(c_330,plain,
apply(fixed_pt,apply(apply(apply(n,apply(apply(b,b),apply(apply(n,apply(n,apply(b,b))),n))),n),apply(b,apply(b,fixed_pt)))) != apply(apply(apply(n,apply(apply(b,b),apply(apply(n,apply(n,apply(b,b))),n))),n),apply(b,apply(b,fixed_pt))),
inference(demodulation,[status(thm)],[c_85,c_286]) ).
cnf(c_413,plain,
apply(apply(apply(n,apply(apply(b,b),X0)),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
inference(superposition,[status(thm)],[c_119,c_49]) ).
cnf(c_826,plain,
apply(fixed_pt,apply(apply(apply(apply(n,apply(n,apply(b,b))),n),apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt))))) != apply(apply(apply(apply(n,apply(n,apply(b,b))),n),apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),
inference(demodulation,[status(thm)],[c_330,c_413]) ).
cnf(c_907,plain,
apply(apply(apply(n,apply(n,apply(b,b))),X0),X1) = apply(apply(X0,X1),apply(X0,X1)),
inference(superposition,[status(thm)],[c_204,c_50]) ).
cnf(c_957,plain,
apply(fixed_pt,apply(apply(apply(n,apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt))))) != apply(apply(apply(n,apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt)))),
inference(demodulation,[status(thm)],[c_826,c_907]) ).
cnf(c_984,plain,
apply(apply(apply(n,apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt)))) != apply(apply(apply(n,apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt)))),
inference(demodulation,[status(thm)],[c_957,c_205]) ).
cnf(c_985,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_984]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL044-5 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n003.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 : Thu May 2 21:33:35 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 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
% 3.95/1.15 % SZS status Started for theBenchmark.p
% 3.95/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.95/1.15
% 3.95/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.95/1.15
% 3.95/1.15 ------ iProver source info
% 3.95/1.15
% 3.95/1.15 git: date: 2024-05-02 19:28:25 +0000
% 3.95/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.95/1.15 git: non_committed_changes: false
% 3.95/1.15
% 3.95/1.15 ------ Parsing...successful
% 3.95/1.15
% 3.95/1.15
% 3.95/1.15
% 3.95/1.15 ------ 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
% 3.95/1.15
% 3.95/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.95/1.15
% 3.95/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.95/1.15 ------ Proving...
% 3.95/1.15 ------ Problem Properties
% 3.95/1.15
% 3.95/1.15
% 3.95/1.15 clauses 3
% 3.95/1.15 conjectures 0
% 3.95/1.15 EPR 0
% 3.95/1.15 Horn 3
% 3.95/1.15 unary 3
% 3.95/1.15 binary 0
% 3.95/1.15 lits 3
% 3.95/1.15 lits eq 3
% 3.95/1.15 fd_pure 0
% 3.95/1.15 fd_pseudo 0
% 3.95/1.15 fd_cond 0
% 3.95/1.15 fd_pseudo_cond 0
% 3.95/1.15 AC symbols 0
% 3.95/1.15
% 3.95/1.15 ------ Schedule UEQ
% 3.95/1.15
% 3.95/1.15 ------ Option_UEQ Time Limit: 10.
% 3.95/1.15
% 3.95/1.15
% 3.95/1.15 ------
% 3.95/1.15 Current options:
% 3.95/1.15 ------
% 3.95/1.15
% 3.95/1.15
% 3.95/1.15
% 3.95/1.15
% 3.95/1.15 ------ Proving...
% 3.95/1.15
% 3.95/1.15
% 3.95/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.95/1.15
% 3.95/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.95/1.15
% 3.95/1.15
%------------------------------------------------------------------------------