TSTP Solution File: GRP127-1.004 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP127-1.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 02:21:20 EDT 2024
% Result : Unsatisfiable 3.14s 1.11s
% Output : CNFRefutation 3.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 18
% Syntax : Number of clauses : 80 ( 18 unt; 10 nHn; 79 RR)
% Number of literals : 224 ( 0 equ; 132 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 : 78 ( 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,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X2,X0,X3)
| product(X3,X0,X1) ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_342,plain,
( ~ product(X0,X1,e_1)
| ~ product(X0,X1,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_343,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_346,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_349,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_4,X1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_352,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_356,plain,
( ~ product(e_2,X0,X1)
| ~ product(e_3,X0,X1)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_358,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_4,X1)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_359,plain,
( ~ product(e_2,X0,X1)
| ~ product(e_4,X0,X1)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_368,plain,
( ~ product(e_3,X0,X1)
| ~ product(e_4,X0,X1)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_373,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_4,X1)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_378,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_342]) ).
cnf(c_379,plain,
product(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_383,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_387,plain,
( ~ product(X0,e_2,X1)
| ~ product(e_2,X2,X0)
| product(X1,e_2,X2) ),
inference(instantiation,[status(thm)],[c_341]) ).
cnf(c_389,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_390,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_389]) ).
cnf(c_393,plain,
( ~ product(X0,X1,X2)
| ~ product(X2,X0,e_2)
| product(e_2,X0,X1) ),
inference(instantiation,[status(thm)],[c_341]) ).
cnf(c_395,plain,
product(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_405,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_406,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_405]) ).
cnf(c_411,plain,
product(e_4,e_4,e_4),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_419,plain,
( ~ product(X0,e_4,X1)
| ~ product(e_4,X2,X0)
| product(X1,e_4,X2) ),
inference(instantiation,[status(thm)],[c_341]) ).
cnf(c_421,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_422,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_421]) ).
cnf(c_587,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_343]) ).
cnf(c_604,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_346]) ).
cnf(c_626,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_358]) ).
cnf(c_627,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_349]) ).
cnf(c_632,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_359]) ).
cnf(c_978,plain,
( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_3)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_352]) ).
cnf(c_988,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_383]) ).
cnf(c_1020,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_389]) ).
cnf(c_1026,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_349]) ).
cnf(c_1848,plain,
( ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_2)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_373]) ).
cnf(c_2339,plain,
( ~ product(e_3,X0,e_2)
| ~ product(e_4,X0,e_2)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_368]) ).
cnf(c_2344,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_2339]) ).
cnf(c_2349,plain,
( ~ product(X0,X1,e_4)
| ~ product(e_4,X0,e_2)
| product(e_2,X0,X1) ),
inference(instantiation,[status(thm)],[c_393]) ).
cnf(c_2353,plain,
( ~ product(e_2,e_4,X0)
| ~ product(e_4,X1,e_2)
| product(X0,e_4,X1) ),
inference(instantiation,[status(thm)],[c_419]) ).
cnf(c_2354,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_2353]) ).
cnf(c_2451,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_2349]) ).
cnf(c_2464,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_2451]) ).
cnf(c_2477,plain,
( ~ product(e_2,X0,e_4)
| ~ product(e_4,e_2,X1)
| product(X1,e_2,X0) ),
inference(instantiation,[status(thm)],[c_387]) ).
cnf(c_2478,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_2477]) ).
cnf(c_2592,plain,
( ~ product(e_2,X0,e_4)
| ~ product(e_3,X0,e_4)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_356]) ).
cnf(c_2595,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_2592]) ).
cnf(c_2714,plain,
( ~ product(e_2,X0,e_3)
| ~ product(e_4,X0,e_3)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_359]) ).
cnf(c_2717,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_2714]) ).
cnf(c_3325,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_978]) ).
cnf(c_3382,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_1848]) ).
cnf(c_3440,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3382,c_3325,c_2717,c_2595,c_2478,c_2464,c_2354,c_2344,c_1026,c_1020,c_988,c_632,c_626,c_627,c_604,c_587,c_422,c_411,c_406,c_395,c_390,c_379,c_378,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
% 0.05/0.10 % Problem : GRP127-1.004 : TPTP v8.1.2. Released v1.2.0.
% 0.05/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n009.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Thu May 2 23:35:10 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.14/1.11 % SZS status Started for theBenchmark.p
% 3.14/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 3.14/1.11
% 3.14/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.14/1.11
% 3.14/1.11 ------ iProver source info
% 3.14/1.11
% 3.14/1.11 git: date: 2024-05-02 19:28:25 +0000
% 3.14/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.14/1.11 git: non_committed_changes: false
% 3.14/1.11
% 3.14/1.11 ------ Parsing...successful
% 3.14/1.11
% 3.14/1.11 ------ preprocesses with Option_epr_non_horn_non_eq
% 3.14/1.11
% 3.14/1.11
% 3.14/1.11 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.14/1.11
% 3.14/1.11 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 3.14/1.11 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.14/1.11 ------ Proving...
% 3.14/1.11 ------ Problem Properties
% 3.14/1.11
% 3.14/1.11
% 3.14/1.11 clauses 22
% 3.14/1.11 conjectures 1
% 3.14/1.11 EPR 22
% 3.14/1.11 Horn 21
% 3.14/1.11 unary 17
% 3.14/1.11 binary 0
% 3.14/1.11 lits 35
% 3.14/1.11 lits eq 0
% 3.14/1.11 fd_pure 0
% 3.14/1.11 fd_pseudo 0
% 3.14/1.11 fd_cond 0
% 3.14/1.11 fd_pseudo_cond 0
% 3.14/1.11 AC symbols 0
% 3.14/1.11
% 3.14/1.11 ------ Schedule EPR non Horn non eq is on
% 3.14/1.11
% 3.14/1.11 ------ no equalities: superposition off
% 3.14/1.11
% 3.14/1.11 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.14/1.11
% 3.14/1.11
% 3.14/1.11 ------
% 3.14/1.11 Current options:
% 3.14/1.11 ------
% 3.14/1.11
% 3.14/1.11
% 3.14/1.11
% 3.14/1.11
% 3.14/1.11 ------ Proving...
% 3.14/1.11
% 3.14/1.11
% 3.14/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 3.14/1.11
% 3.14/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.14/1.11
% 3.14/1.11
%------------------------------------------------------------------------------