TSTP Solution File: COL057-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COL057-1 : TPTP v8.1.2. Released v1.0.0.
% 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 02:09:41 EDT 2024
% Result : Unsatisfiable 39.19s 5.62s
% Output : CNFRefutation 39.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 21 ( 21 unt; 0 nHn; 7 RR)
% Number of literals : 21 ( 20 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 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 : 42 ( 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_51,plain,
apply(apply(apply(c,X0),X1),X2) = apply(apply(X0,X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_definition) ).
cnf(c_52,plain,
apply(i,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_definition) ).
cnf(c_53,negated_conjecture,
apply(f(X0),apply(X0,f(X0))) != apply(X0,f(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
cnf(c_72,negated_conjecture,
apply(f(X0),apply(X0,f(X0))) != apply(X0,f(X0)),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_103,plain,
apply(f(apply(apply(b,X0),X1)),apply(X0,apply(X1,f(apply(apply(b,X0),X1))))) != apply(X0,apply(X1,f(apply(apply(b,X0),X1)))),
inference(superposition,[status(thm)],[c_50,c_72]) ).
cnf(c_155,plain,
apply(f(apply(apply(b,X0),apply(apply(c,X1),X2))),apply(X0,apply(apply(X1,f(apply(apply(b,X0),apply(apply(c,X1),X2)))),X2))) != apply(X0,apply(apply(X1,f(apply(apply(b,X0),apply(apply(c,X1),X2)))),X2)),
inference(superposition,[status(thm)],[c_51,c_103]) ).
cnf(c_212,plain,
apply(apply(apply(s,i),X0),X1) = apply(X1,apply(X0,X1)),
inference(superposition,[status(thm)],[c_52,c_49]) ).
cnf(c_221,plain,
apply(apply(X0,X1),apply(apply(X2,X0),X1)) = apply(apply(apply(apply(s,s),X2),X0),X1),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_225,plain,
apply(apply(apply(s,apply(b,X0)),X1),X2) = apply(X0,apply(X2,apply(X1,X2))),
inference(superposition,[status(thm)],[c_49,c_50]) ).
cnf(c_227,plain,
apply(apply(apply(s,apply(c,X0)),X1),X2) = apply(apply(X0,apply(X1,X2)),X2),
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_320,plain,
apply(apply(apply(s,i),i),X0) = apply(X0,X0),
inference(superposition,[status(thm)],[c_52,c_212]) ).
cnf(c_463,plain,
apply(apply(apply(s,i),i),apply(X0,X1)) = apply(apply(apply(s,X0),X0),X1),
inference(superposition,[status(thm)],[c_320,c_49]) ).
cnf(c_8297,plain,
apply(apply(apply(s,apply(c,i)),X0),X1) = apply(apply(X0,X1),X1),
inference(superposition,[status(thm)],[c_52,c_227]) ).
cnf(c_9209,plain,
apply(apply(apply(apply(s,apply(c,i)),s),apply(b,X0)),X1) = apply(X0,apply(X1,apply(apply(b,X0),X1))),
inference(superposition,[status(thm)],[c_8297,c_225]) ).
cnf(c_11356,plain,
apply(apply(apply(apply(s,apply(c,i)),s),X0),X1) = apply(apply(apply(s,i),i),apply(X0,X1)),
inference(superposition,[status(thm)],[c_8297,c_463]) ).
cnf(c_27954,plain,
apply(apply(apply(s,X0),apply(X1,X0)),X2) = apply(apply(apply(apply(s,s),X1),X0),X2),
inference(superposition,[status(thm)],[c_221,c_49]) ).
cnf(c_27993,plain,
apply(f(apply(apply(apply(apply(s,s),c),b),X0)),apply(X0,apply(apply(b,f(apply(apply(apply(apply(s,s),c),b),X0))),X0))) != apply(X0,apply(apply(b,f(apply(apply(apply(apply(s,s),c),b),X0))),X0)),
inference(superposition,[status(thm)],[c_221,c_155]) ).
cnf(c_53521,plain,
apply(apply(apply(s,i),i),apply(apply(b,f(apply(apply(apply(s,b),apply(c,b)),X0))),X0)) != apply(X0,apply(apply(b,f(apply(apply(apply(s,b),apply(c,b)),X0))),X0)),
inference(demodulation,[status(thm)],[c_27993,c_9209,c_11356,c_27954]) ).
cnf(c_53563,plain,
$false,
inference(equality_resolution,[status(thm)],[c_53521]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : COL057-1 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n004.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 21:20:33 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running UEQ theorem proving
% 0.16/0.42 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
% 39.19/5.62 % SZS status Started for theBenchmark.p
% 39.19/5.62 % SZS status Unsatisfiable for theBenchmark.p
% 39.19/5.62
% 39.19/5.62 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 39.19/5.62
% 39.19/5.62 ------ iProver source info
% 39.19/5.62
% 39.19/5.62 git: date: 2024-05-02 19:28:25 +0000
% 39.19/5.62 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 39.19/5.62 git: non_committed_changes: false
% 39.19/5.62
% 39.19/5.62 ------ Parsing...successful
% 39.19/5.62
% 39.19/5.62
% 39.19/5.62
% 39.19/5.62 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 39.19/5.62
% 39.19/5.62 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 39.19/5.62
% 39.19/5.62 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 39.19/5.62 ------ Proving...
% 39.19/5.62 ------ Problem Properties
% 39.19/5.62
% 39.19/5.62
% 39.19/5.62 clauses 5
% 39.19/5.62 conjectures 1
% 39.19/5.62 EPR 0
% 39.19/5.62 Horn 5
% 39.19/5.62 unary 5
% 39.19/5.62 binary 0
% 39.19/5.62 lits 5
% 39.19/5.62 lits eq 5
% 39.19/5.62 fd_pure 0
% 39.19/5.62 fd_pseudo 0
% 39.19/5.62 fd_cond 0
% 39.19/5.62 fd_pseudo_cond 0
% 39.19/5.62 AC symbols 0
% 39.19/5.62
% 39.19/5.62 ------ Input Options Time Limit: Unbounded
% 39.19/5.62
% 39.19/5.62
% 39.19/5.62 ------
% 39.19/5.62 Current options:
% 39.19/5.62 ------
% 39.19/5.62
% 39.19/5.62
% 39.19/5.62
% 39.19/5.62
% 39.19/5.62 ------ Proving...
% 39.19/5.62
% 39.19/5.62
% 39.19/5.62 % SZS status Unsatisfiable for theBenchmark.p
% 39.19/5.62
% 39.19/5.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 39.19/5.62
% 39.19/5.62
%------------------------------------------------------------------------------