TSTP Solution File: COL006-2 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COL006-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 02:09:32 EDT 2024
% Result : Unsatisfiable 166.04s 22.76s
% Output : CNFRefutation 166.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of clauses : 25 ( 23 unt; 0 nHn; 9 RR)
% Number of literals : 27 ( 24 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 10 ( 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 : 44 ( 9 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(k,X0),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_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(s,apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),apply(apply(s,apply(k,apply(apply(s,s),apply(s,k)))),apply(apply(s,apply(k,s)),k)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
cnf(c_73,plain,
( apply(apply(s,apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),apply(apply(s,apply(k,apply(apply(s,s),apply(s,k)))),apply(apply(s,apply(k,s)),k))) != 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(s,apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),apply(apply(s,apply(k,apply(apply(s,s),apply(s,k)))),apply(apply(s,apply(k,s)),k))),fixed_pt)) != apply(apply(apply(s,apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),apply(apply(s,apply(k,apply(apply(s,s),apply(s,k)))),apply(apply(s,apply(k,s)),k))),fixed_pt),
inference(unflattening,[status(thm)],[c_73]) ).
cnf(c_85,plain,
apply(fixed_pt,apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt))))) != apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))),
inference(demodulation,[status(thm)],[c_74,c_49,c_50]) ).
cnf(c_117,plain,
apply(apply(apply(s,apply(k,X0)),X1),X2) = apply(X0,apply(X1,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_125,plain,
apply(apply(apply(s,k),X0),X1) = X1,
inference(superposition,[status(thm)],[c_49,c_50]) ).
cnf(c_160,plain,
apply(apply(apply(s,apply(apply(s,k),X0)),X1),X2) = apply(X2,apply(X1,X2)),
inference(superposition,[status(thm)],[c_125,c_49]) ).
cnf(c_164,plain,
apply(apply(apply(s,X0),apply(apply(s,k),X1)),X2) = apply(apply(X0,X2),X2),
inference(superposition,[status(thm)],[c_125,c_49]) ).
cnf(c_171,plain,
apply(apply(apply(s,apply(s,k)),X0),X1) = apply(X0,X1),
inference(superposition,[status(thm)],[c_49,c_125]) ).
cnf(c_241,plain,
apply(apply(apply(s,apply(s,apply(s,k))),X0),X1) = apply(X1,apply(X0,X1)),
inference(superposition,[status(thm)],[c_49,c_171]) ).
cnf(c_281,plain,
apply(apply(apply(s,apply(s,apply(k,X0))),X1),X2) = apply(X0,apply(X2,apply(X1,X2))),
inference(superposition,[status(thm)],[c_117,c_49]) ).
cnf(c_2083,plain,
apply(apply(apply(s,apply(apply(s,k),X0)),X1),X2) = apply(apply(apply(s,apply(s,apply(s,k))),X1),X2),
inference(superposition,[status(thm)],[c_241,c_160]) ).
cnf(c_192578,plain,
apply(fixed_pt,apply(apply(apply(s,apply(s,apply(s,k))),apply(apply(s,k),k)),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt))))) != apply(apply(apply(s,apply(s,apply(s,k))),apply(apply(s,k),k)),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))),
inference(demodulation,[status(thm)],[c_85,c_2083]) ).
cnf(c_192832,plain,
apply(apply(apply(apply(s,s),apply(s,k)),X0),X1) = apply(apply(X0,X1),X1),
inference(superposition,[status(thm)],[c_49,c_164]) ).
cnf(c_192909,plain,
apply(apply(apply(s,apply(s,apply(s,k))),apply(apply(s,k),X0)),X1) = apply(X1,X1),
inference(superposition,[status(thm)],[c_164,c_171]) ).
cnf(c_193821,plain,
apply(apply(apply(s,X0),apply(apply(s,k),X1)),X2) = apply(apply(apply(apply(s,s),apply(s,k)),X0),X2),
inference(superposition,[status(thm)],[c_192832,c_164]) ).
cnf(c_193962,plain,
apply(apply(apply(s,X0),apply(apply(s,k),X1)),apply(X2,X0)) = apply(apply(apply(s,apply(apply(s,s),apply(s,k))),X2),X0),
inference(superposition,[status(thm)],[c_193821,c_49]) ).
cnf(c_196268,plain,
apply(X0,apply(apply(apply(s,apply(s,apply(s,k))),X1),X2)) = apply(apply(apply(s,apply(s,apply(k,X0))),X1),X2),
inference(superposition,[status(thm)],[c_241,c_281]) ).
cnf(c_196716,plain,
apply(apply(apply(s,apply(s,apply(s,k))),apply(apply(s,k),k)),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))) != apply(apply(apply(s,apply(s,apply(k,fixed_pt))),apply(apply(s,k),k)),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))),
inference(demodulation,[status(thm)],[c_192578,c_196268]) ).
cnf(c_205540,plain,
apply(apply(apply(s,apply(s,apply(s,k))),apply(apply(s,k),X0)),apply(X1,X2)) = apply(apply(apply(s,X1),X1),X2),
inference(superposition,[status(thm)],[c_192909,c_49]) ).
cnf(c_208631,plain,
apply(apply(apply(s,apply(s,apply(k,fixed_pt))),apply(apply(s,k),k)),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))) != apply(apply(apply(s,apply(apply(s,s),apply(s,k))),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt))),
inference(demodulation,[status(thm)],[c_196716,c_205540]) ).
cnf(c_208632,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_208631,c_193962]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL006-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n020.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 21:25:46 EDT 2024
% 0.13/0.35 % 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
% 166.04/22.76 % SZS status Started for theBenchmark.p
% 166.04/22.76 % SZS status Unsatisfiable for theBenchmark.p
% 166.04/22.76
% 166.04/22.76 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 166.04/22.76
% 166.04/22.76 ------ iProver source info
% 166.04/22.76
% 166.04/22.76 git: date: 2024-05-02 19:28:25 +0000
% 166.04/22.76 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 166.04/22.76 git: non_committed_changes: false
% 166.04/22.76
% 166.04/22.76 ------ Parsing...successful
% 166.04/22.76
% 166.04/22.76
% 166.04/22.76
% 166.04/22.76 ------ 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
% 166.04/22.76
% 166.04/22.76 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 166.04/22.76
% 166.04/22.76 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 166.04/22.76 ------ Proving...
% 166.04/22.76 ------ Problem Properties
% 166.04/22.76
% 166.04/22.76
% 166.04/22.76 clauses 3
% 166.04/22.76 conjectures 0
% 166.04/22.76 EPR 0
% 166.04/22.76 Horn 3
% 166.04/22.76 unary 3
% 166.04/22.76 binary 0
% 166.04/22.76 lits 3
% 166.04/22.76 lits eq 3
% 166.04/22.76 fd_pure 0
% 166.04/22.76 fd_pseudo 0
% 166.04/22.76 fd_cond 0
% 166.04/22.76 fd_pseudo_cond 0
% 166.04/22.76 AC symbols 0
% 166.04/22.76
% 166.04/22.76 ------ Input Options Time Limit: Unbounded
% 166.04/22.76
% 166.04/22.76
% 166.04/22.76 ------
% 166.04/22.76 Current options:
% 166.04/22.76 ------
% 166.04/22.76
% 166.04/22.76
% 166.04/22.76
% 166.04/22.76
% 166.04/22.76 ------ Proving...
% 166.04/22.76
% 166.04/22.76
% 166.04/22.76 % SZS status Unsatisfiable for theBenchmark.p
% 166.04/22.76
% 166.04/22.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 166.04/22.76
% 166.04/22.76
%------------------------------------------------------------------------------