TSTP Solution File: COL043-2 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COL043-2 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 4.18s 1.19s
% Output : CNFRefutation 4.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of clauses : 17 ( 15 unt; 0 nHn; 10 RR)
% Number of literals : 19 ( 16 equ; 10 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 13 ( 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 : 24 ( 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(h,X0),X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_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(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),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(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),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(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b)),b),fixed_pt)) != apply(apply(apply(b,apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b)),b),fixed_pt),
inference(unflattening,[status(thm)],[c_73]) ).
cnf(c_85,plain,
apply(fixed_pt,apply(apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h),apply(b,apply(b,fixed_pt)))) != apply(apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h),apply(b,apply(b,fixed_pt))),
inference(demodulation,[status(thm)],[c_74,c_49]) ).
cnf(c_116,plain,
apply(apply(apply(h,apply(b,X0)),X1),X2) = apply(apply(X0,apply(X1,X2)),X1),
inference(superposition,[status(thm)],[c_49,c_50]) ).
cnf(c_119,plain,
apply(apply(apply(h,apply(apply(b,X0),X1)),X2),X3) = apply(apply(apply(X0,apply(X1,X2)),X3),X2),
inference(superposition,[status(thm)],[c_49,c_50]) ).
cnf(c_130,plain,
apply(fixed_pt,apply(apply(apply(apply(apply(b,h),apply(b,b)),apply(apply(h,apply(apply(b,h),apply(b,b))),h)),apply(b,apply(b,fixed_pt))),h)) != apply(apply(apply(apply(apply(b,h),apply(b,b)),apply(apply(h,apply(apply(b,h),apply(b,b))),h)),apply(b,apply(b,fixed_pt))),h),
inference(demodulation,[status(thm)],[c_85,c_119]) ).
cnf(c_131,plain,
apply(fixed_pt,apply(apply(apply(h,apply(apply(b,b),apply(apply(h,apply(apply(b,h),apply(b,b))),h))),apply(b,apply(b,fixed_pt))),h)) != apply(apply(apply(h,apply(apply(b,b),apply(apply(h,apply(apply(b,h),apply(b,b))),h))),apply(b,apply(b,fixed_pt))),h),
inference(demodulation,[status(thm)],[c_130,c_49]) ).
cnf(c_283,plain,
apply(apply(apply(h,apply(b,apply(b,X0))),X1),X2) = apply(X0,apply(apply(X1,X2),X1)),
inference(superposition,[status(thm)],[c_116,c_49]) ).
cnf(c_1456,plain,
apply(apply(apply(h,apply(apply(b,b),X0)),X1),X2) = apply(apply(X0,X1),apply(X2,X1)),
inference(superposition,[status(thm)],[c_119,c_49]) ).
cnf(c_1477,plain,
apply(apply(apply(h,apply(apply(b,h),apply(b,X0))),X1),X2) = apply(apply(apply(X0,apply(X1,X2)),X1),X2),
inference(superposition,[status(thm)],[c_119,c_119]) ).
cnf(c_1486,plain,
apply(fixed_pt,apply(apply(apply(apply(h,apply(apply(b,h),apply(b,b))),h),apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt))))) != apply(apply(apply(apply(h,apply(apply(b,h),apply(b,b))),h),apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))),
inference(demodulation,[status(thm)],[c_131,c_1456]) ).
cnf(c_2091,plain,
apply(apply(apply(h,apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))),apply(h,apply(b,apply(b,fixed_pt)))) != apply(apply(apply(h,apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))),apply(h,apply(b,apply(b,fixed_pt)))),
inference(demodulation,[status(thm)],[c_1486,c_49,c_283,c_1477]) ).
cnf(c_2092,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_2091]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL043-2 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n014.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 21:22:32 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.48 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
% 4.18/1.19 % SZS status Started for theBenchmark.p
% 4.18/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 4.18/1.19
% 4.18/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.18/1.19
% 4.18/1.19 ------ iProver source info
% 4.18/1.19
% 4.18/1.19 git: date: 2024-05-02 19:28:25 +0000
% 4.18/1.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.18/1.19 git: non_committed_changes: false
% 4.18/1.19
% 4.18/1.19 ------ Parsing...successful
% 4.18/1.19
% 4.18/1.19
% 4.18/1.19
% 4.18/1.19 ------ 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
% 4.18/1.19
% 4.18/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.18/1.19
% 4.18/1.19 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.18/1.19 ------ Proving...
% 4.18/1.19 ------ Problem Properties
% 4.18/1.19
% 4.18/1.19
% 4.18/1.19 clauses 3
% 4.18/1.19 conjectures 0
% 4.18/1.19 EPR 0
% 4.18/1.19 Horn 3
% 4.18/1.19 unary 3
% 4.18/1.19 binary 0
% 4.18/1.19 lits 3
% 4.18/1.19 lits eq 3
% 4.18/1.19 fd_pure 0
% 4.18/1.19 fd_pseudo 0
% 4.18/1.19 fd_cond 0
% 4.18/1.19 fd_pseudo_cond 0
% 4.18/1.19 AC symbols 0
% 4.18/1.19
% 4.18/1.19 ------ Schedule UEQ
% 4.18/1.19
% 4.18/1.19 ------ Option_UEQ Time Limit: 10.
% 4.18/1.19
% 4.18/1.19
% 4.18/1.19 ------
% 4.18/1.19 Current options:
% 4.18/1.19 ------
% 4.18/1.19
% 4.18/1.19
% 4.18/1.19
% 4.18/1.19
% 4.18/1.19 ------ Proving...
% 4.18/1.19
% 4.18/1.19
% 4.18/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 4.18/1.19
% 4.18/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.18/1.19
% 4.18/1.19
%------------------------------------------------------------------------------