TSTP Solution File: COL080-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COL080-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 02:09:48 EDT 2024
% Result : Unsatisfiable 58.56s 8.77s
% Output : CNFRefutation 58.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 20 ( 11 unt; 0 nHn; 14 RR)
% Number of literals : 34 ( 33 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
apply(abstraction,apply(abstraction,k(b))) != k(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_TRC2b) ).
cnf(c_51,plain,
apply(k(X0),X1) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/COL001-0.ax',k_definition) ).
cnf(c_56,plain,
apply(apply(X0,k(X1)),apply(X2,X1)) = apply(apply(apply(abstraction,X0),X2),X1),
file('/export/starexec/sandbox/benchmark/Axioms/COL001-0.ax',abstraction) ).
cnf(c_59,plain,
( apply(X0,n(X0,X1)) != apply(X1,n(X0,X1))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/COL001-0.ax',extensionality2) ).
cnf(c_76,plain,
X0 = X0,
theory(equality) ).
cnf(c_77,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_91,plain,
( apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))) != apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))
| apply(abstraction,apply(abstraction,k(b))) = k(b) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_94,plain,
( apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))) != X0
| apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))) != X0
| apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))) = apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_117,plain,
( apply(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),X0)) != apply(X0,n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),X0))
| apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))) = X0 ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_119,plain,
( apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))) != apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b)))
| apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))) != apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b)))
| apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))) = apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_120,plain,
apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))) = apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_180,plain,
( apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))) != X0
| apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))) != X0
| apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))) = apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_587,plain,
( apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))) != b
| apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))) != b
| apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))) = apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))) ),
inference(instantiation,[status(thm)],[c_180]) ).
cnf(c_588,plain,
apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))) = b,
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_1542,plain,
apply(apply(apply(abstraction,k(X0)),X1),X2) = apply(X0,apply(X1,X2)),
inference(superposition,[status(thm)],[c_51,c_56]) ).
cnf(c_1600,plain,
apply(apply(apply(abstraction,apply(abstraction,k(X0))),X1),X2) = apply(X0,apply(k(X2),apply(X1,X2))),
inference(superposition,[status(thm)],[c_1542,c_56]) ).
cnf(c_1603,plain,
apply(apply(apply(abstraction,apply(abstraction,k(X0))),X1),X2) = apply(X0,X2),
inference(demodulation,[status(thm)],[c_1600,c_51]) ).
cnf(c_7826,plain,
( apply(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),b)) != apply(b,n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),b))
| apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))) = b ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_51635,plain,
apply(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),b)) = apply(b,n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),b)),
inference(instantiation,[status(thm)],[c_1603]) ).
cnf(c_51636,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_51635,c_7826,c_588,c_587,c_120,c_119,c_91,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : COL080-1 : TPTP v8.1.2. Released v1.2.0.
% 0.11/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 20:59:21 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 58.56/8.77 % SZS status Started for theBenchmark.p
% 58.56/8.77 % SZS status Unsatisfiable for theBenchmark.p
% 58.56/8.77
% 58.56/8.77 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 58.56/8.77
% 58.56/8.77 ------ iProver source info
% 58.56/8.77
% 58.56/8.77 git: date: 2024-05-02 19:28:25 +0000
% 58.56/8.77 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 58.56/8.77 git: non_committed_changes: false
% 58.56/8.77
% 58.56/8.77 ------ Parsing...successful
% 58.56/8.77
% 58.56/8.77
% 58.56/8.77
% 58.56/8.77 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 58.56/8.77
% 58.56/8.77 ------ Preprocessing...
% 58.56/8.77
% 58.56/8.77 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 58.56/8.77 ------ Proving...
% 58.56/8.77 ------ Problem Properties
% 58.56/8.77
% 58.56/8.77
% 58.56/8.77 clauses 12
% 58.56/8.77 conjectures 1
% 58.56/8.77 EPR 1
% 58.56/8.77 Horn 11
% 58.56/8.77 unary 10
% 58.56/8.77 binary 2
% 58.56/8.77 lits 14
% 58.56/8.77 lits eq 14
% 58.56/8.77 fd_pure 0
% 58.56/8.77 fd_pseudo 0
% 58.56/8.77 fd_cond 0
% 58.56/8.77 fd_pseudo_cond 2
% 58.56/8.77 AC symbols 0
% 58.56/8.77
% 58.56/8.77 ------ Input Options Time Limit: Unbounded
% 58.56/8.77
% 58.56/8.77
% 58.56/8.77 ------
% 58.56/8.77 Current options:
% 58.56/8.77 ------
% 58.56/8.77
% 58.56/8.77
% 58.56/8.77
% 58.56/8.77
% 58.56/8.77 ------ Proving...
% 58.56/8.77
% 58.56/8.77
% 58.56/8.77 % SZS status Unsatisfiable for theBenchmark.p
% 58.56/8.77
% 58.56/8.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 58.56/8.77
% 58.56/8.77
%------------------------------------------------------------------------------