TSTP Solution File: SYN075-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SYN075-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 19:37:16 EDT 2024
% Result : Unsatisfiable 2.04s 1.14s
% Output : CNFRefutation 2.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of clauses : 29 ( 7 unt; 10 nHn; 16 RR)
% Number of literals : 56 ( 32 equ; 26 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 47 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ big_f(X0,X1)
| X0 = a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
cnf(c_51,plain,
( X0 != a
| X1 != b
| big_f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
cnf(c_52,negated_conjecture,
( g(X0) != X1
| ~ big_f(X1,f(X0))
| f(X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
cnf(c_54,negated_conjecture,
( g(X0) != X1
| f(X0) = X0
| big_f(X1,f(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
cnf(c_57,negated_conjecture,
( f(X0) != X0
| h(X0,X1) = X1
| big_f(h(X0,X1),f(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
cnf(c_58,negated_conjecture,
( h(X0,X1) != X1
| f(X0) != X0
| ~ big_f(h(X0,X1),f(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
cnf(c_59,plain,
big_f(a,b),
inference(unflattening,[status(thm)],[c_51]) ).
cnf(c_60,negated_conjecture,
( f(X0) = X0
| big_f(g(X0),f(X0)) ),
inference(unflattening,[status(thm)],[c_54]) ).
cnf(c_61,negated_conjecture,
( ~ big_f(g(X0),f(X0))
| f(X0) = X0 ),
inference(unflattening,[status(thm)],[c_52]) ).
cnf(c_72,negated_conjecture,
f(X0) = X0,
inference(global_subsumption_just,[status(thm)],[c_60,c_60,c_61]) ).
cnf(c_75,negated_conjecture,
f(X0) = X0,
inference(global_subsumption_just,[status(thm)],[c_61,c_60,c_61]) ).
cnf(c_77,negated_conjecture,
( h(X0,X1) = X1
| big_f(h(X0,X1),f(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_57,c_57,c_72]) ).
cnf(c_80,negated_conjecture,
( h(X0,X1) != X1
| ~ big_f(h(X0,X1),f(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_60,c_61,c_58]) ).
cnf(c_87,plain,
( ~ big_f(h(X0,X1),f(X0))
| h(X0,X1) != X1 ),
inference(prop_impl_just,[status(thm)],[c_80]) ).
cnf(c_88,plain,
( h(X0,X1) != X1
| ~ big_f(h(X0,X1),f(X0)) ),
inference(renaming,[status(thm)],[c_87]) ).
cnf(c_89,plain,
( big_f(h(X0,X1),f(X0))
| h(X0,X1) = X1 ),
inference(prop_impl_just,[status(thm)],[c_77]) ).
cnf(c_90,plain,
( h(X0,X1) = X1
| big_f(h(X0,X1),f(X0)) ),
inference(renaming,[status(thm)],[c_89]) ).
cnf(c_136,plain,
( h(X0,X1) = X1
| big_f(h(X0,X1),X0) ),
inference(light_normalisation,[status(thm)],[c_90,c_75]) ).
cnf(c_143,plain,
( h(X0,X1) != X1
| ~ big_f(h(X0,X1),X0) ),
inference(light_normalisation,[status(thm)],[c_88,c_75]) ).
cnf(c_207,plain,
( ~ big_f(h(X0,X1),X0)
| h(X0,X1) != X1 ),
inference(prop_impl_just,[status(thm)],[c_143]) ).
cnf(c_208,plain,
( h(X0,X1) != X1
| ~ big_f(h(X0,X1),X0) ),
inference(renaming,[status(thm)],[c_207]) ).
cnf(c_209,plain,
( big_f(h(X0,X1),X0)
| h(X0,X1) = X1 ),
inference(prop_impl_just,[status(thm)],[c_136]) ).
cnf(c_210,plain,
( h(X0,X1) = X1
| big_f(h(X0,X1),X0) ),
inference(renaming,[status(thm)],[c_209]) ).
cnf(c_471,plain,
( h(X0,X1) = X1
| h(X0,X1) = a ),
inference(superposition,[status(thm)],[c_210,c_49]) ).
cnf(c_493,plain,
( X0 != a
| h(X1,X0) = a ),
inference(equality_factoring,[status(thm)],[c_471]) ).
cnf(c_511,plain,
h(X0,a) = a,
inference(equality_resolution,[status(thm)],[c_493]) ).
cnf(c_532,plain,
~ big_f(h(X0,a),X0),
inference(superposition,[status(thm)],[c_511,c_208]) ).
cnf(c_534,plain,
~ big_f(a,X0),
inference(light_normalisation,[status(thm)],[c_532,c_511]) ).
cnf(c_535,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_59,c_534]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : SYN075-1 : TPTP v8.2.0. Released v1.0.0.
% 0.04/0.11 % Command : run_iprover %s %d THM
% 0.10/0.32 % Computer : n027.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Sun Jun 23 22:53:54 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 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
% 2.04/1.14 % SZS status Started for theBenchmark.p
% 2.04/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 2.04/1.14
% 2.04/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.04/1.14
% 2.04/1.14 ------ iProver source info
% 2.04/1.14
% 2.04/1.14 git: date: 2024-06-12 09:56:46 +0000
% 2.04/1.14 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 2.04/1.14 git: non_committed_changes: false
% 2.04/1.14
% 2.04/1.14 ------ Parsing...successful
% 2.04/1.14
% 2.04/1.14
% 2.04/1.14
% 2.04/1.14 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 2.04/1.14
% 2.04/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.04/1.14
% 2.04/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.04/1.14 ------ Proving...
% 2.04/1.14 ------ Problem Properties
% 2.04/1.14
% 2.04/1.14
% 2.04/1.14 clauses 6
% 2.04/1.14 conjectures 1
% 2.04/1.14 EPR 3
% 2.04/1.14 Horn 5
% 2.04/1.14 unary 2
% 2.04/1.14 binary 4
% 2.04/1.14 lits 10
% 2.04/1.14 lits eq 5
% 2.04/1.14 fd_pure 0
% 2.04/1.14 fd_pseudo 0
% 2.04/1.14 fd_cond 2
% 2.04/1.14 fd_pseudo_cond 0
% 2.04/1.14 AC symbols 0
% 2.04/1.14
% 2.04/1.14 ------ Schedule dynamic 5 is on
% 2.04/1.14
% 2.04/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.04/1.14
% 2.04/1.14
% 2.04/1.14 ------
% 2.04/1.14 Current options:
% 2.04/1.14 ------
% 2.04/1.14
% 2.04/1.14
% 2.04/1.14
% 2.04/1.14
% 2.04/1.14 ------ Proving...
% 2.04/1.14
% 2.04/1.14
% 2.04/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 2.04/1.14
% 2.04/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.04/1.14
% 2.04/1.14
%------------------------------------------------------------------------------