TSTP Solution File: COL003-4 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COL003-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 02:09:30 EDT 2024
% Result : Unsatisfiable 13.86s 2.65s
% Output : CNFRefutation 13.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of clauses : 14 ( 12 unt; 0 nHn; 6 RR)
% Number of literals : 16 ( 13 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 8 ( 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 : 17 ( 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(w,X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_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(apply(b,apply(w,w)),apply(apply(b,w),b))),b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
cnf(c_73,plain,
( apply(apply(b,apply(apply(b,apply(w,w)),apply(apply(b,w),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(w,w)),apply(apply(b,w),b))),b),fixed_pt)) != apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(apply(b,w),b))),b),fixed_pt),
inference(unflattening,[status(thm)],[c_73]) ).
cnf(c_85,plain,
apply(fixed_pt,apply(apply(w,w),apply(w,apply(b,apply(b,fixed_pt))))) != apply(apply(w,w),apply(w,apply(b,apply(b,fixed_pt)))),
inference(demodulation,[status(thm)],[c_74,c_49]) ).
cnf(c_121,plain,
apply(apply(X0,X0),X0) = apply(apply(w,w),X0),
inference(superposition,[status(thm)],[c_50,c_50]) ).
cnf(c_133,plain,
apply(apply(w,apply(b,X0)),X1) = apply(X0,apply(X1,X1)),
inference(superposition,[status(thm)],[c_49,c_50]) ).
cnf(c_177,plain,
apply(apply(w,apply(w,apply(b,X0))),X1) = apply(apply(X0,apply(X1,X1)),X1),
inference(superposition,[status(thm)],[c_133,c_50]) ).
cnf(c_512,plain,
apply(apply(w,apply(w,apply(b,apply(b,X0)))),X1) = apply(X0,apply(apply(X1,X1),X1)),
inference(superposition,[status(thm)],[c_177,c_49]) ).
cnf(c_6149,plain,
apply(apply(w,apply(w,apply(b,apply(b,X0)))),X1) = apply(X0,apply(apply(w,w),X1)),
inference(superposition,[status(thm)],[c_121,c_512]) ).
cnf(c_16998,plain,
apply(X0,apply(apply(w,w),apply(w,apply(b,apply(b,X0))))) = apply(apply(w,w),apply(w,apply(b,apply(b,X0)))),
inference(superposition,[status(thm)],[c_6149,c_50]) ).
cnf(c_17095,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_85,c_16998]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COL003-4 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 21:48:18 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 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
% 13.86/2.65 % SZS status Started for theBenchmark.p
% 13.86/2.65 % SZS status Unsatisfiable for theBenchmark.p
% 13.86/2.65
% 13.86/2.65 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 13.86/2.65
% 13.86/2.65 ------ iProver source info
% 13.86/2.65
% 13.86/2.65 git: date: 2024-05-02 19:28:25 +0000
% 13.86/2.65 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 13.86/2.65 git: non_committed_changes: false
% 13.86/2.65
% 13.86/2.65 ------ Parsing...successful
% 13.86/2.65
% 13.86/2.65
% 13.86/2.65
% 13.86/2.65 ------ 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
% 13.86/2.65
% 13.86/2.65 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 13.86/2.65
% 13.86/2.65 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 13.86/2.65 ------ Proving...
% 13.86/2.65 ------ Problem Properties
% 13.86/2.65
% 13.86/2.65
% 13.86/2.65 clauses 3
% 13.86/2.65 conjectures 0
% 13.86/2.65 EPR 0
% 13.86/2.65 Horn 3
% 13.86/2.65 unary 3
% 13.86/2.65 binary 0
% 13.86/2.65 lits 3
% 13.86/2.65 lits eq 3
% 13.86/2.65 fd_pure 0
% 13.86/2.65 fd_pseudo 0
% 13.86/2.65 fd_cond 0
% 13.86/2.65 fd_pseudo_cond 0
% 13.86/2.65 AC symbols 0
% 13.86/2.65
% 13.86/2.65 ------ Schedule UEQ
% 13.86/2.65
% 13.86/2.65 ------ Option_UEQ Time Limit: 10.
% 13.86/2.65
% 13.86/2.65
% 13.86/2.65 ------
% 13.86/2.65 Current options:
% 13.86/2.65 ------
% 13.86/2.65
% 13.86/2.65
% 13.86/2.65
% 13.86/2.65
% 13.86/2.65 ------ Proving...
% 13.86/2.65
% 13.86/2.65
% 13.86/2.65 % SZS status Unsatisfiable for theBenchmark.p
% 13.86/2.65
% 13.86/2.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.86/2.65
% 13.86/2.65
%------------------------------------------------------------------------------