TSTP Solution File: GRP127-1.004 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP127-1.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 00:57:59 EDT 2023
% Result : Unsatisfiable 0.46s 1.14s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 18
% Syntax : Number of clauses : 79 ( 18 unt; 10 nHn; 78 RR)
% Number of literals : 221 ( 0 equ; 130 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 74 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(c_50,plain,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(c_51,plain,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(c_52,plain,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).
cnf(c_53,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(c_54,plain,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(c_55,plain,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(c_56,plain,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(c_57,plain,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(c_58,plain,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
cnf(c_61,plain,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(c_63,plain,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
cnf(c_65,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/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c_66,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
cnf(c_67,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c_68,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c_69,plain,
product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
cnf(c_70,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X2,X0,X3)
| product(X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(c_71,plain,
product(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_151,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[status(thm)],[c_53,c_67]) ).
cnf(c_152,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_151]) ).
cnf(c_159,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[c_53,c_68]) ).
cnf(c_160,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_159]) ).
cnf(c_183,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[c_54,c_68]) ).
cnf(c_184,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_3,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_183]) ).
cnf(c_199,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_4,X1) ),
inference(resolution,[status(thm)],[c_55,c_67]) ).
cnf(c_200,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_4,e_1) ),
inference(instantiation,[status(thm)],[c_199]) ).
cnf(c_207,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_4,X0,X1) ),
inference(resolution,[status(thm)],[c_55,c_68]) ).
cnf(c_208,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_4,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_207]) ).
cnf(c_341,plain,
( ~ product(X0,X1,e_1)
| ~ product(X0,X1,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_342,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_345,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_348,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_4,X1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_351,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_355,plain,
( ~ product(e_2,X0,X1)
| ~ product(e_3,X0,X1)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_357,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_4,X1)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_358,plain,
( ~ product(e_2,X0,X1)
| ~ product(e_4,X0,X1)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_367,plain,
( ~ product(e_3,X0,X1)
| ~ product(e_4,X0,X1)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_372,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_4,X1)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_377,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_2,e_2,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_341]) ).
cnf(c_378,plain,
product(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_382,plain,
( ~ group_element(X0)
| ~ group_element(e_2)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3)
| product(X0,e_2,e_4) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_386,plain,
( ~ product(X0,e_2,X1)
| ~ product(e_2,X2,X0)
| product(X1,e_2,X2) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_388,plain,
( ~ group_element(X0)
| ~ group_element(e_2)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_389,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)
| product(e_2,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_388]) ).
cnf(c_392,plain,
( ~ product(X0,X1,X2)
| ~ product(X2,X0,e_2)
| product(e_2,X0,X1) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_394,plain,
product(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_404,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_65]) ).
cnf(c_405,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_404]) ).
cnf(c_410,plain,
product(e_4,e_4,e_4),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_418,plain,
( ~ product(X0,e_4,X1)
| ~ product(e_4,X2,X0)
| product(X1,e_4,X2) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_420,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)
| product(e_4,X0,e_4) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_421,plain,
( ~ group_element(e_1)
| ~ group_element(e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_420]) ).
cnf(c_586,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_342]) ).
cnf(c_603,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_345]) ).
cnf(c_625,plain,
( ~ product(e_4,e_2,e_4)
| ~ product(e_4,e_4,e_4)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_357]) ).
cnf(c_626,plain,
( ~ product(e_4,e_1,e_4)
| ~ product(e_4,e_4,e_4)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_348]) ).
cnf(c_631,plain,
( ~ product(e_2,e_4,e_4)
| ~ product(e_4,e_4,e_4)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_358]) ).
cnf(c_977,plain,
( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_3)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_351]) ).
cnf(c_987,plain,
( ~ group_element(e_2)
| ~ group_element(e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_1019,plain,
( ~ group_element(e_2)
| ~ group_element(e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(instantiation,[status(thm)],[c_388]) ).
cnf(c_1025,plain,
( ~ product(e_2,e_1,e_3)
| ~ product(e_2,e_4,e_3)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_348]) ).
cnf(c_1847,plain,
( ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_2)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_372]) ).
cnf(c_2338,plain,
( ~ product(e_3,X0,e_2)
| ~ product(e_4,X0,e_2)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_367]) ).
cnf(c_2343,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_4,e_1,e_2)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_2338]) ).
cnf(c_2348,plain,
( ~ product(X0,X1,e_4)
| ~ product(e_4,X0,e_2)
| product(e_2,X0,X1) ),
inference(instantiation,[status(thm)],[c_392]) ).
cnf(c_2352,plain,
( ~ product(e_2,e_4,X0)
| ~ product(e_4,X1,e_2)
| product(X0,e_4,X1) ),
inference(instantiation,[status(thm)],[c_418]) ).
cnf(c_2353,plain,
( ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_1,e_2)
| product(e_1,e_4,e_1) ),
inference(instantiation,[status(thm)],[c_2352]) ).
cnf(c_2450,plain,
( ~ product(e_2,X0,e_4)
| ~ product(e_4,e_2,e_2)
| product(e_2,e_2,X0) ),
inference(instantiation,[status(thm)],[c_2348]) ).
cnf(c_2463,plain,
( ~ product(e_2,e_1,e_4)
| ~ product(e_4,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_2450]) ).
cnf(c_2476,plain,
( ~ product(e_2,X0,e_4)
| ~ product(e_4,e_2,X1)
| product(X1,e_2,X0) ),
inference(instantiation,[status(thm)],[c_386]) ).
cnf(c_2477,plain,
( ~ product(e_2,e_1,e_4)
| ~ product(e_4,e_2,e_1)
| product(e_1,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_2476]) ).
cnf(c_2591,plain,
( ~ product(e_2,X0,e_4)
| ~ product(e_3,X0,e_4)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_355]) ).
cnf(c_2594,plain,
( ~ product(e_2,e_1,e_4)
| ~ product(e_3,e_1,e_4)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_2591]) ).
cnf(c_2713,plain,
( ~ product(e_2,X0,e_3)
| ~ product(e_4,X0,e_3)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_358]) ).
cnf(c_2716,plain,
( ~ product(e_2,e_1,e_3)
| ~ product(e_4,e_1,e_3)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_2713]) ).
cnf(c_3324,plain,
( ~ product(e_4,e_1,e_3)
| ~ product(e_4,e_2,e_3)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_977]) ).
cnf(c_3381,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_4,e_2)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_1847]) ).
cnf(c_3439,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3381,c_3324,c_2716,c_2594,c_2477,c_2463,c_2353,c_2343,c_1025,c_1019,c_987,c_631,c_625,c_626,c_603,c_586,c_421,c_410,c_405,c_394,c_389,c_378,c_377,c_208,c_200,c_184,c_160,c_152,c_53,c_54,c_55,c_56,c_57,c_58,c_61,c_63,c_71,c_49,c_50,c_51,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP127-1.004 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 19:43:17 EDT 2023
% 0.13/0.35 % 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
% 0.46/1.14 % SZS status Started for theBenchmark.p
% 0.46/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.14
% 0.46/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.46/1.14
% 0.46/1.14 ------ iProver source info
% 0.46/1.14
% 0.46/1.14 git: date: 2023-05-31 18:12:56 +0000
% 0.46/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.46/1.14 git: non_committed_changes: false
% 0.46/1.14 git: last_make_outside_of_git: false
% 0.46/1.14
% 0.46/1.14 ------ Parsing...successful
% 0.46/1.14
% 0.46/1.14 ------ preprocesses with Option_epr_non_horn_non_eq
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 0.46/1.14
% 0.46/1.14 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 0.46/1.14 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.46/1.14 ------ Proving...
% 0.46/1.14 ------ Problem Properties
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14 clauses 22
% 0.46/1.14 conjectures 1
% 0.46/1.14 EPR 22
% 0.46/1.14 Horn 21
% 0.46/1.14 unary 17
% 0.46/1.14 binary 0
% 0.46/1.14 lits 35
% 0.46/1.14 lits eq 0
% 0.46/1.14 fd_pure 0
% 0.46/1.14 fd_pseudo 0
% 0.46/1.14 fd_cond 0
% 0.46/1.14 fd_pseudo_cond 0
% 0.46/1.14 AC symbols 0
% 0.46/1.14
% 0.46/1.14 ------ Schedule EPR non Horn non eq is on
% 0.46/1.14
% 0.46/1.14 ------ no equalities: superposition off
% 0.46/1.14
% 0.46/1.14 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14 ------
% 0.46/1.14 Current options:
% 0.46/1.14 ------
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14 ------ Proving...
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.14
% 0.46/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.15
% 0.46/1.15
%------------------------------------------------------------------------------