TSTP Solution File: GRP135-1.002 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP135-1.002 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 00:58:12 EDT 2023
% Result : Unsatisfiable 1.60s 1.17s
% Output : CNFRefutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 25 ( 4 unt; 7 nHn; 25 RR)
% Number of literals : 66 ( 0 equ; 41 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 29 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(c_50,plain,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(c_51,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(c_53,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c_55,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c_56,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c_57,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X2,X0,X3)
| product(X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
cnf(c_59,plain,
( ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_108,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[status(thm)],[c_51,c_55]) ).
cnf(c_109,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_108]) ).
cnf(c_116,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[c_51,c_56]) ).
cnf(c_166,plain,
( ~ product(X0,X1,X2)
| ~ product(X2,X0,e_2)
| product(e_2,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_167,plain,
( ~ group_element(X0)
| ~ group_element(e_2)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_169,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_167]) ).
cnf(c_170,plain,
( ~ group_element(X0)
| ~ group_element(e_2)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_172,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_170]) ).
cnf(c_188,plain,
( ~ group_element(e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_167]) ).
cnf(c_189,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_193,plain,
( ~ product(e_2,X0,X1)
| ~ product(X1,e_2,e_2)
| product(e_2,e_2,X0) ),
inference(instantiation,[status(thm)],[c_166]) ).
cnf(c_198,plain,
( ~ product(X0,X1,e_2)
| ~ product(e_2,X0,X2)
| product(X2,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_199,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_2,e_1,e_1)
| product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_198]) ).
cnf(c_218,plain,
( ~ product(e_1,X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_220,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_2,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_218]) ).
cnf(c_242,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_193]) ).
cnf(c_391,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_242,c_220,c_199,c_189,c_188,c_172,c_169,c_109,c_59,c_49,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP135-1.002 : TPTP v8.1.2. Released v1.2.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.14/0.33 % Computer : n020.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Aug 28 22:57:44 EDT 2023
% 0.14/0.33 % 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
% 1.60/1.17 % SZS status Started for theBenchmark.p
% 1.60/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 1.60/1.17
% 1.60/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.60/1.17
% 1.60/1.17 ------ iProver source info
% 1.60/1.17
% 1.60/1.17 git: date: 2023-05-31 18:12:56 +0000
% 1.60/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.60/1.17 git: non_committed_changes: false
% 1.60/1.17 git: last_make_outside_of_git: false
% 1.60/1.17
% 1.60/1.17 ------ Parsing...successful
% 1.60/1.17
% 1.60/1.17 ------ preprocesses with Option_epr_non_horn_non_eq
% 1.60/1.17
% 1.60/1.17
% 1.60/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 1.60/1.17
% 1.60/1.17 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 1.60/1.17 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.60/1.17 ------ Proving...
% 1.60/1.17 ------ Problem Properties
% 1.60/1.17
% 1.60/1.17
% 1.60/1.17 clauses 7
% 1.60/1.17 conjectures 1
% 1.60/1.17 EPR 7
% 1.60/1.17 Horn 6
% 1.60/1.17 unary 2
% 1.60/1.17 binary 3
% 1.60/1.17 lits 15
% 1.60/1.17 lits eq 0
% 1.60/1.17 fd_pure 0
% 1.60/1.17 fd_pseudo 0
% 1.60/1.17 fd_cond 0
% 1.60/1.17 fd_pseudo_cond 0
% 1.60/1.17 AC symbols 0
% 1.60/1.17
% 1.60/1.17 ------ Schedule EPR non Horn non eq is on
% 1.60/1.17
% 1.60/1.17 ------ no equalities: superposition off
% 1.60/1.17
% 1.60/1.17 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.60/1.17
% 1.60/1.17
% 1.60/1.17 ------
% 1.60/1.17 Current options:
% 1.60/1.17 ------
% 1.60/1.17
% 1.60/1.17
% 1.60/1.17
% 1.60/1.17
% 1.60/1.17 ------ Proving...
% 1.60/1.17
% 1.60/1.17
% 1.60/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 1.60/1.17
% 1.60/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.60/1.17
% 1.60/1.17
%------------------------------------------------------------------------------