TSTP Solution File: GRP124-2.004 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP124-2.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 02:21:15 EDT 2024
% Result : Unsatisfiable 3.01s 1.18s
% Output : CNFRefutation 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of clauses : 60 ( 20 unt; 13 nHn; 59 RR)
% Number of literals : 157 ( 0 equ; 84 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 56 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
next(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_then_e_3) ).
cnf(c_57,plain,
greater(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_3) ).
cnf(c_58,plain,
( ~ product(X0,e_1,X1)
| ~ next(X0,X2)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_redundancy) ).
cnf(c_59,plain,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(c_60,plain,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(c_61,plain,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(c_62,plain,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
cnf(c_63,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(c_64,plain,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(c_65,plain,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(c_68,plain,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
cnf(c_71,plain,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(c_72,plain,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
cnf(c_74,plain,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
cnf(c_75,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c_77,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c_78,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c_79,plain,
product(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).
cnf(c_80,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X5,X3,X4)
| equalish(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg2_1) ).
cnf(c_82,plain,
product(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_201,plain,
( ~ product(e_2,e_1,X0)
| ~ greater(X0,e_3) ),
inference(resolution,[status(thm)],[c_50,c_58]) ).
cnf(c_231,plain,
~ product(e_2,e_1,e_4),
inference(resolution,[status(thm)],[c_57,c_201]) ).
cnf(c_268,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[c_63,c_78]) ).
cnf(c_269,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_268]) ).
cnf(c_318,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[c_64,c_78]) ).
cnf(c_319,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_3,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_318]) ).
cnf(c_367,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_4,X0,X1) ),
inference(resolution,[status(thm)],[c_65,c_78]) ).
cnf(c_368,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_4,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_367]) ).
cnf(c_1136,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X5,X3,X4)
| equalish(X0,X3) ),
inference(demodulation,[status(thm)],[c_80]) ).
cnf(c_1159,plain,
( ~ product(X0,e_3,X1)
| ~ product(X0,e_4,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_4,X2,X3)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_1136]) ).
cnf(c_1173,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_1174,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_1196,plain,
( ~ product(e_3,X0,X1)
| ~ product(e_4,X0,X1)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_1198,plain,
product(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_1207,plain,
( ~ group_element(X0)
| ~ group_element(e_3)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_1208,plain,
( ~ group_element(e_1)
| ~ group_element(e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_1207]) ).
cnf(c_1210,plain,
product(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_1217,plain,
product(e_4,e_4,e_4),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_1402,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_3,e_3,e_3)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_1174]) ).
cnf(c_1431,plain,
( ~ product(X0,e_3,X1)
| ~ product(X0,e_4,e_4)
| ~ product(e_3,X1,e_4)
| ~ product(e_4,e_4,e_4)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_1159]) ).
cnf(c_1576,plain,
( ~ product(X0,X1,X0)
| equalish(X0,X1) ),
inference(superposition,[status(thm)],[c_79,c_77]) ).
cnf(c_1621,plain,
( ~ product(X0,X1,X1)
| equalish(X1,X0) ),
inference(superposition,[status(thm)],[c_79,c_78]) ).
cnf(c_1653,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(superposition,[status(thm)],[c_75,c_231]) ).
cnf(c_1654,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1653,c_60,c_59]) ).
cnf(c_1835,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_4,e_3,e_2)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_1174]) ).
cnf(c_1843,plain,
( ~ product(e_3,X0,e_2)
| ~ product(e_4,X0,e_2)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_1196]) ).
cnf(c_1854,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_4,e_1,e_2)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_1843]) ).
cnf(c_1885,plain,
( ~ group_element(X0)
| ~ group_element(e_4)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| equalish(e_4,X0) ),
inference(superposition,[status(thm)],[c_75,c_1576]) ).
cnf(c_1887,plain,
( ~ group_element(X0)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| equalish(e_4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1885,c_62]) ).
cnf(c_1931,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(global_subsumption_just,[status(thm)],[c_1654,c_82,c_269,c_1654]) ).
cnf(c_1938,plain,
( ~ product(X0,e_1,e_3)
| product(e_2,e_1,e_2)
| equalish(e_2,X0) ),
inference(superposition,[status(thm)],[c_1931,c_78]) ).
cnf(c_2012,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_2,e_2,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_1173]) ).
cnf(c_2845,plain,
( ~ product(X0,e_1,e_3)
| equalish(e_2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1938,c_63,c_1198,c_1938,c_2012]) ).
cnf(c_2876,plain,
( ~ product(e_3,X0,e_4)
| ~ product(e_4,e_3,X0)
| ~ product(e_4,e_4,e_4)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_1431]) ).
cnf(c_2877,plain,
( ~ product(e_3,e_1,e_4)
| ~ product(e_4,e_3,e_1)
| ~ product(e_4,e_4,e_4)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_2876]) ).
cnf(c_3307,plain,
( ~ group_element(e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(superposition,[status(thm)],[c_1887,c_1621]) ).
cnf(c_3309,plain,
( ~ group_element(e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(e_2,e_4)
| equalish(e_4,e_1) ),
inference(superposition,[status(thm)],[c_1887,c_2845]) ).
cnf(c_3310,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3309,c_72,c_68,c_59]) ).
cnf(c_3313,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3307,c_74,c_71,c_61]) ).
cnf(c_3410,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3310,c_3313,c_2877,c_1854,c_1835,c_1402,c_1217,c_1210,c_1208,c_368,c_319,c_64,c_74,c_82,c_59,c_61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP124-2.004 : TPTP v8.1.2. Released v1.2.0.
% 0.04/0.13 % Command : run_iprover %s %d THM
% 0.12/0.35 % Computer : n010.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Thu May 2 23:45:34 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 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
% 3.01/1.18 % SZS status Started for theBenchmark.p
% 3.01/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.01/1.18
% 3.01/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.01/1.18
% 3.01/1.18 ------ iProver source info
% 3.01/1.18
% 3.01/1.18 git: date: 2024-05-02 19:28:25 +0000
% 3.01/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.01/1.18 git: non_committed_changes: false
% 3.01/1.18
% 3.01/1.18 ------ Parsing...successful
% 3.01/1.18
% 3.01/1.18 ------ preprocesses with Option_epr_non_horn_non_eq
% 3.01/1.18
% 3.01/1.18
% 3.01/1.18 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 3.01/1.18
% 3.01/1.18 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 3.01/1.18 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.01/1.18 ------ Proving...
% 3.01/1.18 ------ Problem Properties
% 3.01/1.18
% 3.01/1.18
% 3.01/1.18 clauses 26
% 3.01/1.18 conjectures 2
% 3.01/1.18 EPR 26
% 3.01/1.18 Horn 25
% 3.01/1.18 unary 20
% 3.01/1.18 binary 0
% 3.01/1.18 lits 45
% 3.01/1.18 lits eq 0
% 3.01/1.18 fd_pure 0
% 3.01/1.18 fd_pseudo 0
% 3.01/1.18 fd_cond 0
% 3.01/1.18 fd_pseudo_cond 0
% 3.01/1.18 AC symbols 0
% 3.01/1.18
% 3.01/1.18 ------ Schedule EPR non Horn non eq is on
% 3.01/1.18
% 3.01/1.18 ------ no equalities: superposition off
% 3.01/1.18
% 3.01/1.18 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.01/1.18
% 3.01/1.18
% 3.01/1.18 ------
% 3.01/1.18 Current options:
% 3.01/1.18 ------
% 3.01/1.18
% 3.01/1.18
% 3.01/1.18
% 3.01/1.18
% 3.01/1.18 ------ Proving...
% 3.01/1.18
% 3.01/1.18
% 3.01/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.01/1.18
% 3.01/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.01/1.18
% 3.01/1.18
%------------------------------------------------------------------------------