TSTP Solution File: GRP128-4.003 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP128-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 00:58:04 EDT 2023
% Result : Unsatisfiable 2.24s 1.13s
% Output : CNFRefutation 2.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 15
% Syntax : Number of clauses : 61 ( 7 unt; 16 nHn; 61 RR)
% Number of literals : 183 ( 0 equ; 108 neg)
% Maximal clause size : 5 ( 3 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 : 75 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product(e_1,X0,X1)
| product(e_2,X0,X1)
| product(e_3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',row_surjectivity) ).
cnf(c_50,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,e_1,X1)
| product(X0,e_2,X1)
| product(X0,e_3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',column_surjectivity) ).
cnf(c_51,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X2)
| product(X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3_1) ).
cnf(c_52,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X0,X2,X3)
| product(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3_2) ).
cnf(c_53,plain,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(c_54,plain,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(c_55,plain,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(c_56,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(c_57,plain,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(c_59,plain,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(c_62,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/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c_63,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
cnf(c_64,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c_65,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c_66,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X2,X1,X3)
| product(X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
cnf(c_69,plain,
( ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_155,plain,
( ~ product(X0,X1,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[c_56,c_63]) ).
cnf(c_156,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_163,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[status(thm)],[c_56,c_64]) ).
cnf(c_164,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_163]) ).
cnf(c_179,plain,
( ~ product(X0,X1,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[c_57,c_63]) ).
cnf(c_180,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_179]) ).
cnf(c_187,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[c_57,c_64]) ).
cnf(c_188,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_187]) ).
cnf(c_195,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[c_57,c_65]) ).
cnf(c_196,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_3,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_214,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[c_59,c_64]) ).
cnf(c_256,plain,
( ~ product(X0,e_2,X1)
| ~ product(e_2,X2,X1)
| product(X0,X2,e_2) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_270,plain,
( ~ product(X0,X1,e_3)
| ~ product(e_3,X1,X2)
| product(X0,e_3,X2) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_287,plain,
( ~ group_element(X0)
| ~ group_element(e_2)
| product(e_1,X0,e_2)
| product(e_2,X0,e_2)
| product(e_3,X0,e_2) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_290,plain,
( ~ group_element(X0)
| ~ group_element(e_3)
| product(e_1,X0,e_3)
| product(e_2,X0,e_3)
| product(e_3,X0,e_3) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_293,plain,
( ~ group_element(e_1)
| ~ group_element(e_3)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_290]) ).
cnf(c_297,plain,
( ~ group_element(X0)
| ~ group_element(e_3)
| product(e_1,e_3,X0)
| product(e_2,e_3,X0)
| product(e_3,e_3,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_298,plain,
( ~ product(e_1,e_2,X0)
| ~ product(e_1,e_3,X0) ),
inference(instantiation,[status(thm)],[c_214]) ).
cnf(c_300,plain,
( ~ group_element(e_1)
| ~ group_element(e_3)
| product(e_1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_297]) ).
cnf(c_302,plain,
( ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_314,plain,
( ~ product(X0,e_3,X1)
| ~ product(X1,e_3,X2)
| product(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_315,plain,
( ~ product(e_1,e_3,e_1)
| product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_314]) ).
cnf(c_323,plain,
( ~ product(e_3,X0,X1)
| ~ product(e_3,X1,X2)
| product(X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_342,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_62]) ).
cnf(c_345,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_342]) ).
cnf(c_383,plain,
( ~ product(X0,e_2,e_3)
| ~ product(e_2,X1,e_3)
| product(X0,X1,e_2) ),
inference(instantiation,[status(thm)],[c_256]) ).
cnf(c_385,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_1,e_3)
| product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_383]) ).
cnf(c_396,plain,
( ~ product(X0,X1,e_3)
| ~ product(e_3,X1,e_2)
| product(X0,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_270]) ).
cnf(c_661,plain,
( ~ product(X0,e_2,X1)
| ~ product(X1,e_2,X2)
| product(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_662,plain,
( ~ product(e_1,e_2,e_1)
| product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_661]) ).
cnf(c_680,plain,
( ~ group_element(X0)
| ~ group_element(e_3)
| product(e_3,e_1,X0)
| product(e_3,e_2,X0)
| product(e_3,e_3,X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_682,plain,
( ~ product(X0,e_2,e_3)
| ~ product(e_3,e_2,X1)
| product(X0,e_3,X1) ),
inference(instantiation,[status(thm)],[c_270]) ).
cnf(c_683,plain,
( ~ group_element(e_1)
| ~ group_element(e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_680]) ).
cnf(c_684,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_3,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_682]) ).
cnf(c_686,plain,
( ~ group_element(X0)
| ~ group_element(e_3)
| product(X0,e_1,e_3)
| product(X0,e_2,e_3)
| product(X0,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_688,plain,
( ~ group_element(e_1)
| ~ group_element(e_3)
| product(e_1,e_1,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_686]) ).
cnf(c_1131,plain,
( ~ group_element(e_2)
| ~ group_element(e_3)
| product(e_1,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_287]) ).
cnf(c_1213,plain,
( ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_302]) ).
cnf(c_1550,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_298]) ).
cnf(c_1922,plain,
( ~ product(e_3,X0,e_3)
| ~ product(e_3,e_3,X1)
| product(e_3,X0,X1) ),
inference(instantiation,[status(thm)],[c_323]) ).
cnf(c_1923,plain,
( ~ product(X0,e_3,e_3)
| ~ product(e_3,e_3,X1)
| product(X0,e_3,X1) ),
inference(instantiation,[status(thm)],[c_270]) ).
cnf(c_1924,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_1)
| product(e_1,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_1923]) ).
cnf(c_1925,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_3,e_3,e_1)
| product(e_3,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_1922]) ).
cnf(c_2479,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_396]) ).
cnf(c_3040,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2479,c_1925,c_1924,c_1550,c_1213,c_1131,c_688,c_684,c_683,c_662,c_385,c_345,c_315,c_300,c_293,c_196,c_188,c_180,c_164,c_156,c_69,c_53,c_54,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP128-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 02:22:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.24/1.13 % SZS status Started for theBenchmark.p
% 2.24/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 2.24/1.13
% 2.24/1.13 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.24/1.13
% 2.24/1.13 ------ iProver source info
% 2.24/1.13
% 2.24/1.13 git: date: 2023-05-31 18:12:56 +0000
% 2.24/1.13 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.24/1.13 git: non_committed_changes: false
% 2.24/1.13 git: last_make_outside_of_git: false
% 2.24/1.13
% 2.24/1.13 ------ Parsing...successful
% 2.24/1.13
% 2.24/1.13 ------ preprocesses with Option_epr_non_horn_non_eq
% 2.24/1.13
% 2.24/1.13
% 2.24/1.13 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e
% 2.24/1.13
% 2.24/1.13 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 2.24/1.13 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.24/1.13 ------ Proving...
% 2.24/1.13 ------ Problem Properties
% 2.24/1.13
% 2.24/1.13
% 2.24/1.13 clauses 18
% 2.24/1.13 conjectures 3
% 2.24/1.13 EPR 18
% 2.24/1.13 Horn 15
% 2.24/1.13 unary 3
% 2.24/1.13 binary 9
% 2.24/1.13 lits 45
% 2.24/1.13 lits eq 0
% 2.24/1.13 fd_pure 0
% 2.24/1.13 fd_pseudo 0
% 2.24/1.13 fd_cond 0
% 2.24/1.13 fd_pseudo_cond 0
% 2.24/1.13 AC symbols 0
% 2.24/1.13
% 2.24/1.13 ------ Schedule EPR non Horn non eq is on
% 2.24/1.13
% 2.24/1.13 ------ no equalities: superposition off
% 2.24/1.13
% 2.24/1.13 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.24/1.13
% 2.24/1.13
% 2.24/1.13 ------
% 2.24/1.13 Current options:
% 2.24/1.13 ------
% 2.24/1.13
% 2.24/1.13
% 2.24/1.13
% 2.24/1.13
% 2.24/1.13 ------ Proving...
% 2.24/1.13
% 2.24/1.13
% 2.24/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 2.24/1.13
% 2.24/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.24/1.13
% 2.24/1.13
%------------------------------------------------------------------------------