TSTP Solution File: COL002-4 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COL002-4 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 02:09:28 EDT 2024
% Result : Unsatisfiable 0.50s 1.17s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 3 RR)
% Number of literals : 11 ( 10 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
apply(apply(X0,X1),apply(X2,X1)) = apply(apply(apply(s,X0),X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_definition) ).
cnf(c_50,plain,
apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
cnf(c_52,plain,
apply(i,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_definition) ).
cnf(c_53,plain,
apply(apply(apply(s,apply(b,X0)),i),apply(apply(s,apply(b,X0)),i)) = weak_fixed_point(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',weak_fixed_point) ).
cnf(c_54,negated_conjecture,
apply(fixed_pt,weak_fixed_point(fixed_pt)) != weak_fixed_point(fixed_pt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_weak_fixed_point) ).
cnf(c_124,plain,
apply(apply(apply(s,X0),i),X1) = apply(apply(X0,X1),X1),
inference(superposition,[status(thm)],[c_52,c_49]) ).
cnf(c_260,plain,
apply(apply(apply(s,apply(b,X0)),i),X1) = apply(X0,apply(X1,X1)),
inference(superposition,[status(thm)],[c_124,c_50]) ).
cnf(c_408,plain,
apply(apply(apply(s,apply(b,X0)),i),apply(apply(s,apply(b,X1)),i)) = apply(X0,weak_fixed_point(X1)),
inference(superposition,[status(thm)],[c_53,c_260]) ).
cnf(c_452,plain,
apply(X0,weak_fixed_point(X0)) = weak_fixed_point(X0),
inference(demodulation,[status(thm)],[c_53,c_408]) ).
cnf(c_453,plain,
weak_fixed_point(fixed_pt) != weak_fixed_point(fixed_pt),
inference(demodulation,[status(thm)],[c_54,c_452]) ).
cnf(c_454,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_453]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL002-4 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 21:20:03 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.21/0.47 Running UEQ theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.50/1.17 % SZS status Started for theBenchmark.p
% 0.50/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.50/1.17
% 0.50/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.50/1.17
% 0.50/1.17 ------ iProver source info
% 0.50/1.17
% 0.50/1.17 git: date: 2024-05-02 19:28:25 +0000
% 0.50/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.50/1.17 git: non_committed_changes: false
% 0.50/1.17
% 0.50/1.17 ------ Parsing...successful
% 0.50/1.17
% 0.50/1.17
% 0.50/1.17
% 0.50/1.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.50/1.17
% 0.50/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.50/1.17
% 0.50/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.50/1.17 ------ Proving...
% 0.50/1.17 ------ Problem Properties
% 0.50/1.17
% 0.50/1.17
% 0.50/1.17 clauses 6
% 0.50/1.17 conjectures 1
% 0.50/1.17 EPR 0
% 0.50/1.17 Horn 6
% 0.50/1.17 unary 6
% 0.50/1.17 binary 0
% 0.50/1.17 lits 6
% 0.50/1.17 lits eq 6
% 0.50/1.17 fd_pure 0
% 0.50/1.17 fd_pseudo 0
% 0.50/1.17 fd_cond 0
% 0.50/1.17 fd_pseudo_cond 0
% 0.50/1.17 AC symbols 0
% 0.50/1.17
% 0.50/1.17 ------ Input Options Time Limit: Unbounded
% 0.50/1.17
% 0.50/1.17
% 0.50/1.17 ------
% 0.50/1.17 Current options:
% 0.50/1.17 ------
% 0.50/1.17
% 0.50/1.17
% 0.50/1.17
% 0.50/1.17
% 0.50/1.17 ------ Proving...
% 0.50/1.17
% 0.50/1.17
% 0.50/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.50/1.17
% 0.50/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.50/1.17
% 0.50/1.17
%------------------------------------------------------------------------------