TSTP Solution File: GRP029-2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP029-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 : Thu Aug 31 00:56:43 EDT 2023
% Result : Unsatisfiable 3.93s 1.18s
% Output : CNFRefutation 3.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 22 ( 12 unt; 0 nHn; 17 RR)
% Number of literals : 51 ( 0 equ; 31 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_60,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
cnf(c_61,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X5,X3)
| product(X2,X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).
cnf(c_62,plain,
product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
cnf(c_63,plain,
product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
cnf(c_64,negated_conjecture,
~ product(not_right_identity(X0),X0,not_right_identity(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).
cnf(c_66,plain,
product(identity,identity,identity),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_69,plain,
~ product(not_right_identity(identity),identity,not_right_identity(identity)),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_151,plain,
( ~ product(X0,X1,not_right_identity(X2))
| ~ product(X0,X3,not_right_identity(X2))
| ~ product(X1,X2,X3)
| product(not_right_identity(X2),X2,not_right_identity(X2)) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_183,plain,
( ~ product(X0,X1,not_right_identity(X2))
| ~ product(X3,X4,X0)
| ~ product(X4,X1,X5)
| product(X3,X5,not_right_identity(X2)) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_186,plain,
product(identity,not_right_identity(X0),not_right_identity(X0)),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_188,plain,
product(identity,not_right_identity(identity),not_right_identity(identity)),
inference(instantiation,[status(thm)],[c_186]) ).
cnf(c_312,plain,
( ~ product(identity,not_right_identity(X0),not_right_identity(X0))
| ~ product(X1,not_right_identity(X0),X2)
| ~ product(X3,X1,identity)
| product(X3,X2,not_right_identity(X0)) ),
inference(instantiation,[status(thm)],[c_183]) ).
cnf(c_528,plain,
( ~ product(inverse(not_right_identity(X0)),not_right_identity(X0),identity)
| ~ product(X1,inverse(not_right_identity(X0)),identity)
| ~ product(identity,not_right_identity(X0),not_right_identity(X0))
| product(X1,identity,not_right_identity(X0)) ),
inference(instantiation,[status(thm)],[c_312]) ).
cnf(c_529,plain,
product(inverse(not_right_identity(X0)),not_right_identity(X0),identity),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_531,plain,
product(inverse(not_right_identity(identity)),not_right_identity(identity),identity),
inference(instantiation,[status(thm)],[c_529]) ).
cnf(c_1455,plain,
( ~ product(inverse(inverse(not_right_identity(X0))),inverse(not_right_identity(X0)),identity)
| ~ product(inverse(not_right_identity(X0)),not_right_identity(X0),identity)
| ~ product(identity,not_right_identity(X0),not_right_identity(X0))
| product(inverse(inverse(not_right_identity(X0))),identity,not_right_identity(X0)) ),
inference(instantiation,[status(thm)],[c_528]) ).
cnf(c_1456,plain,
product(inverse(inverse(not_right_identity(X0))),inverse(not_right_identity(X0)),identity),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_1457,plain,
( ~ product(inverse(inverse(not_right_identity(identity))),inverse(not_right_identity(identity)),identity)
| ~ product(inverse(not_right_identity(identity)),not_right_identity(identity),identity)
| ~ product(identity,not_right_identity(identity),not_right_identity(identity))
| product(inverse(inverse(not_right_identity(identity))),identity,not_right_identity(identity)) ),
inference(instantiation,[status(thm)],[c_1455]) ).
cnf(c_1458,plain,
product(inverse(inverse(not_right_identity(identity))),inverse(not_right_identity(identity)),identity),
inference(instantiation,[status(thm)],[c_1456]) ).
cnf(c_6825,plain,
( ~ product(inverse(inverse(not_right_identity(X0))),X1,not_right_identity(X0))
| ~ product(inverse(inverse(not_right_identity(X0))),identity,not_right_identity(X0))
| ~ product(identity,X0,X1)
| product(not_right_identity(X0),X0,not_right_identity(X0)) ),
inference(instantiation,[status(thm)],[c_151]) ).
cnf(c_6826,plain,
( ~ product(inverse(inverse(not_right_identity(identity))),identity,not_right_identity(identity))
| ~ product(identity,identity,identity)
| product(not_right_identity(identity),identity,not_right_identity(identity)) ),
inference(instantiation,[status(thm)],[c_6825]) ).
cnf(c_6827,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6826,c_1458,c_1457,c_531,c_188,c_69,c_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP029-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 00:31:25 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.93/1.18 % SZS status Started for theBenchmark.p
% 3.93/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.93/1.18
% 3.93/1.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.93/1.18
% 3.93/1.18 ------ iProver source info
% 3.93/1.18
% 3.93/1.18 git: date: 2023-05-31 18:12:56 +0000
% 3.93/1.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.93/1.18 git: non_committed_changes: false
% 3.93/1.18 git: last_make_outside_of_git: false
% 3.93/1.18
% 3.93/1.18 ------ Parsing...successful
% 3.93/1.18
% 3.93/1.18
% 3.93/1.18
% 3.93/1.18 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.93/1.18
% 3.93/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.93/1.18 ------ Proving...
% 3.93/1.18 ------ Problem Properties
% 3.93/1.18
% 3.93/1.18
% 3.93/1.18 clauses 16
% 3.93/1.18 conjectures 1
% 3.93/1.18 EPR 10
% 3.93/1.18 Horn 16
% 3.93/1.18 unary 5
% 3.93/1.18 binary 4
% 3.93/1.18 lits 36
% 3.93/1.18 lits eq 0
% 3.93/1.18 fd_pure 0
% 3.93/1.18 fd_pseudo 0
% 3.93/1.18 fd_cond 0
% 3.93/1.18 fd_pseudo_cond 0
% 3.93/1.18 AC symbols 0
% 3.93/1.18
% 3.93/1.18 ------ Schedule dynamic 5 is on
% 3.93/1.18
% 3.93/1.18 ------ no equalities: superposition off
% 3.93/1.18
% 3.93/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.93/1.18
% 3.93/1.18
% 3.93/1.18 ------
% 3.93/1.18 Current options:
% 3.93/1.18 ------
% 3.93/1.18
% 3.93/1.18
% 3.93/1.18
% 3.93/1.18
% 3.93/1.18 ------ Proving...
% 3.93/1.18
% 3.93/1.18
% 3.93/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.93/1.18
% 3.93/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.93/1.19
% 3.93/1.19
%------------------------------------------------------------------------------