TSTP Solution File: COL009-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COL009-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 : Mon Jun 24 04:47:19 EDT 2024
% Result : Unsatisfiable 34.49s 5.31s
% Output : CNFRefutation 34.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 8 RR)
% Number of literals : 17 ( 16 equ; 7 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 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(X0,apply(X1,X1)) = apply(apply(l2,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_definition) ).
cnf(c_51,negated_conjecture,
apply(combinator,X0) != X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).
cnf(c_64,negated_conjecture,
apply(combinator,X0) != X0,
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_98,plain,
apply(apply(X0,X0),apply(X1,X1)) = apply(apply(l2,X0),apply(l2,X1)),
inference(superposition,[status(thm)],[c_50,c_50]) ).
cnf(c_105,plain,
apply(apply(apply(apply(l2,X0),b),X1),X2) = apply(apply(X0,X0),apply(X1,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_106,plain,
apply(X0,apply(X1,apply(X2,apply(apply(b,X1),X2)))) = apply(apply(l2,apply(apply(b,X1),X2)),X0),
inference(superposition,[status(thm)],[c_49,c_50]) ).
cnf(c_107,plain,
apply(apply(l2,X0),apply(apply(b,X1),X2)) = apply(X1,apply(X2,apply(X0,X0))),
inference(superposition,[status(thm)],[c_49,c_50]) ).
cnf(c_148,plain,
apply(apply(X0,X0),apply(l2,l2)) = apply(apply(l2,l2),apply(l2,X0)),
inference(superposition,[status(thm)],[c_98,c_50]) ).
cnf(c_1073,plain,
apply(apply(apply(apply(l2,X0),b),X1),X1) = apply(apply(l2,X1),apply(X0,X0)),
inference(superposition,[status(thm)],[c_105,c_50]) ).
cnf(c_1084,plain,
apply(apply(apply(apply(l2,X0),b),l2),l2) = apply(apply(l2,l2),apply(l2,X0)),
inference(superposition,[status(thm)],[c_105,c_148]) ).
cnf(c_1288,plain,
apply(apply(l2,X0),apply(apply(b,combinator),X1)) != apply(X1,apply(X0,X0)),
inference(superposition,[status(thm)],[c_107,c_64]) ).
cnf(c_1470,plain,
apply(apply(l2,X0),apply(apply(b,combinator),apply(l2,X1))) != apply(apply(X0,X0),apply(X1,X1)),
inference(superposition,[status(thm)],[c_50,c_1288]) ).
cnf(c_11118,plain,
apply(apply(l2,l2),apply(apply(b,combinator),apply(l2,X0))) != apply(apply(apply(apply(l2,X0),b),l2),l2),
inference(superposition,[status(thm)],[c_1073,c_1470]) ).
cnf(c_11190,plain,
apply(apply(l2,l2),apply(apply(b,combinator),apply(l2,X0))) != apply(apply(l2,l2),apply(l2,X0)),
inference(light_normalisation,[status(thm)],[c_11118,c_1084]) ).
cnf(c_72793,plain,
apply(apply(l2,apply(apply(b,apply(b,combinator)),l2)),apply(l2,l2)) != apply(apply(l2,l2),apply(l2,apply(apply(b,apply(b,combinator)),l2))),
inference(superposition,[status(thm)],[c_106,c_11190]) ).
cnf(c_72836,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_72793,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : COL009-1 : TPTP v8.2.0. Released v1.0.0.
% 0.00/0.08 % Command : run_iprover %s %d THM
% 0.08/0.29 % Computer : n032.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue Jun 18 16:27:54 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.15/0.38 Running UEQ theorem proving
% 0.15/0.38 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 34.49/5.31 % SZS status Started for theBenchmark.p
% 34.49/5.31 % SZS status Unsatisfiable for theBenchmark.p
% 34.49/5.31
% 34.49/5.31 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 34.49/5.31
% 34.49/5.31 ------ iProver source info
% 34.49/5.31
% 34.49/5.31 git: date: 2024-06-12 09:56:46 +0000
% 34.49/5.31 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 34.49/5.31 git: non_committed_changes: false
% 34.49/5.31
% 34.49/5.31 ------ Parsing...successful
% 34.49/5.31
% 34.49/5.31
% 34.49/5.31
% 34.49/5.31 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 34.49/5.31
% 34.49/5.31 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 34.49/5.31
% 34.49/5.31 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 34.49/5.31 ------ Proving...
% 34.49/5.31 ------ Problem Properties
% 34.49/5.31
% 34.49/5.31
% 34.49/5.31 clauses 3
% 34.49/5.31 conjectures 1
% 34.49/5.31 EPR 0
% 34.49/5.31 Horn 3
% 34.49/5.31 unary 3
% 34.49/5.31 binary 0
% 34.49/5.31 lits 3
% 34.49/5.31 lits eq 3
% 34.49/5.31 fd_pure 0
% 34.49/5.31 fd_pseudo 0
% 34.49/5.31 fd_cond 0
% 34.49/5.31 fd_pseudo_cond 0
% 34.49/5.31 AC symbols 0
% 34.49/5.31
% 34.49/5.31 ------ Input Options Time Limit: Unbounded
% 34.49/5.31
% 34.49/5.31
% 34.49/5.31 ------
% 34.49/5.31 Current options:
% 34.49/5.31 ------
% 34.49/5.31
% 34.49/5.31
% 34.49/5.31
% 34.49/5.31
% 34.49/5.31 ------ Proving...
% 34.49/5.31
% 34.49/5.31
% 34.49/5.31 % SZS status Unsatisfiable for theBenchmark.p
% 34.49/5.31
% 34.49/5.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 34.49/5.31
% 34.49/5.31
%------------------------------------------------------------------------------