TSTP Solution File: GRP130-3.003 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP130-3.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 00:58:08 EDT 2023
% Result : Unsatisfiable 0.45s 1.15s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of clauses : 83 ( 10 unt; 11 nHn; 83 RR)
% Number of literals : 245 ( 0 equ; 148 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 73 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_65,plain,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(c_66,plain,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(c_67,plain,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(c_68,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(c_69,plain,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(c_70,plain,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(c_71,plain,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(c_72,plain,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
cnf(c_73,plain,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
cnf(c_74,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c_75,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
cnf(c_76,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c_77,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c_78,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X0,X2,X3)
| product(X3,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(c_485,plain,
( ~ product(e_2,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[c_71,c_77]) ).
cnf(c_486,plain,
( ~ product(e_2,e_1,e_1)
| ~ product(e_3,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_485]) ).
cnf(c_581,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_583,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_586,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_587,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_588,plain,
( ~ product(X0,X1,e_2)
| ~ product(X0,X1,e_3)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_592,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_593,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_3,X0,X1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_595,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_3,X1)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_596,plain,
( ~ product(e_2,X0,X1)
| ~ product(e_3,X0,X1)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_616,plain,
( ~ product(e_2,X0,e_1)
| ~ product(e_2,e_1,X0)
| product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_617,plain,
( ~ product(e_2,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_616]) ).
cnf(c_618,plain,
( ~ product(e_3,X0,e_1)
| ~ product(e_3,e_1,X0)
| product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_619,plain,
( ~ product(e_3,e_1,e_1)
| product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_618]) ).
cnf(c_623,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) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_625,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,e_2,X1)
| product(X2,e_2,X0) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_627,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) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_628,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(instantiation,[status(thm)],[c_627]) ).
cnf(c_629,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X2,e_2)
| product(e_2,X1,X0) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_630,plain,
( ~ product(e_3,X0,X1)
| ~ product(e_3,X1,X2)
| product(X2,X0,e_3) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_631,plain,
( ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_583]) ).
cnf(c_632,plain,
( ~ group_element(X0)
| ~ group_element(e_3)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_633,plain,
( ~ group_element(e_1)
| ~ group_element(e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_632]) ).
cnf(c_634,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,e_3,X1)
| product(X2,e_3,X0) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_636,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) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_637,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) ),
inference(instantiation,[status(thm)],[c_636]) ).
cnf(c_638,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X2,e_3)
| product(e_3,X1,X0) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_713,plain,
( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_586]) ).
cnf(c_717,plain,
( ~ group_element(e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_623]) ).
cnf(c_720,plain,
( ~ group_element(e_2)
| ~ group_element(e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_623]) ).
cnf(c_721,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_3,e_2,e_2)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_596]) ).
cnf(c_722,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_3,e_2,e_2)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_593]) ).
cnf(c_734,plain,
( ~ product(e_1,X0,e_2)
| ~ product(e_2,X0,e_2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_587]) ).
cnf(c_737,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_2,e_1,e_2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_734]) ).
cnf(c_746,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_2,e_2,e_1)
| product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_616]) ).
cnf(c_764,plain,
( ~ group_element(e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_632]) ).
cnf(c_770,plain,
( ~ product(X0,X1,e_3)
| ~ product(X0,e_3,e_2)
| product(e_2,X1,X0) ),
inference(instantiation,[status(thm)],[c_629]) ).
cnf(c_771,plain,
( ~ product(e_1,e_1,e_3)
| ~ product(e_1,e_3,e_2)
| product(e_2,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_770]) ).
cnf(c_779,plain,
( ~ product(e_2,X0,e_2)
| ~ product(e_3,X0,e_2)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_596]) ).
cnf(c_780,plain,
( ~ product(e_1,X0,e_2)
| ~ product(e_3,X0,e_2)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_593]) ).
cnf(c_785,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_3,e_1,e_2)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_780]) ).
cnf(c_786,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_3,e_1,e_2)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_779]) ).
cnf(c_788,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_1)
| product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_618]) ).
cnf(c_789,plain,
( ~ product(e_3,X0,X1)
| ~ product(e_3,X1,e_2)
| product(e_2,X0,e_3) ),
inference(instantiation,[status(thm)],[c_629]) ).
cnf(c_851,plain,
( ~ product(e_1,e_1,e_3)
| ~ product(e_2,e_1,e_3)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_581]) ).
cnf(c_873,plain,
( ~ product(e_1,e_1,e_3)
| ~ product(e_1,e_3,e_1)
| product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_634]) ).
cnf(c_910,plain,
( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_3)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_586]) ).
cnf(c_1121,plain,
( ~ product(e_2,e_1,X0)
| ~ product(e_2,e_2,e_1)
| product(X0,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_625]) ).
cnf(c_1124,plain,
( ~ product(e_2,e_1,e_1)
| ~ product(e_2,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_1121]) ).
cnf(c_1132,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_3,e_2,e_1)
| product(e_3,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_638]) ).
cnf(c_1137,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_3,e_2,e_1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_586]) ).
cnf(c_1144,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_3,e_3,e_1)
| product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_638]) ).
cnf(c_1147,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_3,e_3,e_1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_631]) ).
cnf(c_1292,plain,
( ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_583]) ).
cnf(c_1294,plain,
( ~ product(e_1,e_1,e_3)
| ~ product(e_1,e_3,e_3)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_1292]) ).
cnf(c_1339,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_3,e_3,e_1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_592]) ).
cnf(c_1340,plain,
( ~ product(e_2,e_1,e_3)
| ~ product(e_2,e_3,e_3)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_592]) ).
cnf(c_1341,plain,
( ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_592]) ).
cnf(c_1357,plain,
( ~ product(e_3,e_2,e_1)
| ~ product(e_3,e_3,e_1)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_595]) ).
cnf(c_1585,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_1,e_3)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_588]) ).
cnf(c_1590,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_713]) ).
cnf(c_1841,plain,
( ~ product(e_2,e_2,e_3)
| ~ product(e_2,e_3,e_3)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_595]) ).
cnf(c_1983,plain,
( ~ product(e_3,X0,e_2)
| ~ product(e_3,e_2,e_3)
| product(e_3,X0,e_3) ),
inference(instantiation,[status(thm)],[c_630]) ).
cnf(c_1984,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_3)
| product(e_3,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_1983]) ).
cnf(c_2005,plain,
( ~ product(e_3,e_2,e_2)
| ~ product(e_3,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_789]) ).
cnf(c_2242,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_3,e_2,e_3)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_910]) ).
cnf(c_2250,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_3,e_3,e_3)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_1341]) ).
cnf(c_2255,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2250,c_2242,c_2005,c_1984,c_1841,c_1590,c_1585,c_1357,c_1340,c_1339,c_1294,c_1147,c_1144,c_1137,c_1132,c_1124,c_873,c_851,c_788,c_786,c_785,c_771,c_764,c_746,c_737,c_721,c_722,c_720,c_717,c_637,c_633,c_628,c_619,c_617,c_486,c_68,c_69,c_70,c_71,c_72,c_73,c_65,c_66,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRP130-3.003 : TPTP v8.1.2. Released v1.2.0.
% 0.09/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Aug 28 22:26:41 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.45/1.15 % SZS status Started for theBenchmark.p
% 0.45/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 0.45/1.15
% 0.45/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.45/1.15
% 0.45/1.15 ------ iProver source info
% 0.45/1.15
% 0.45/1.15 git: date: 2023-05-31 18:12:56 +0000
% 0.45/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.45/1.15 git: non_committed_changes: false
% 0.45/1.15 git: last_make_outside_of_git: false
% 0.45/1.15
% 0.45/1.15 ------ Parsing...successful
% 0.45/1.15
% 0.45/1.15 ------ preprocesses with Option_epr_non_horn_non_eq
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 0.45/1.15
% 0.45/1.15 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 0.45/1.15 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.45/1.15 ------ Proving...
% 0.45/1.15 ------ Problem Properties
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 clauses 30
% 0.45/1.15 conjectures 1
% 0.45/1.15 EPR 30
% 0.45/1.15 Horn 28
% 0.45/1.15 unary 19
% 0.45/1.15 binary 0
% 0.45/1.15 lits 63
% 0.45/1.15 lits eq 0
% 0.45/1.15 fd_pure 0
% 0.45/1.15 fd_pseudo 0
% 0.45/1.15 fd_cond 0
% 0.45/1.15 fd_pseudo_cond 0
% 0.45/1.15 AC symbols 0
% 0.45/1.15
% 0.45/1.15 ------ Schedule EPR non Horn non eq is on
% 0.45/1.15
% 0.45/1.15 ------ no equalities: superposition off
% 0.45/1.15
% 0.45/1.15 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 ------
% 0.45/1.15 Current options:
% 0.45/1.15 ------
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 ------ Proving...
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 0.45/1.15
% 0.45/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.45/1.15
% 0.45/1.16
%------------------------------------------------------------------------------