TSTP Solution File: GRP123-7.003 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP123-7.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 02:21:14 EDT 2024
% Result : Unsatisfiable 2.27s 1.18s
% Output : CNFRefutation 2.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of clauses : 36 ( 12 unt; 5 nHn; 34 RR)
% Number of literals : 84 ( 0 equ; 50 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_55,plain,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(c_56,plain,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(c_57,plain,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(c_58,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(c_59,plain,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(c_64,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product1(X0,X1,e_1)
| product1(X0,X1,e_2)
| product1(X0,X1,e_3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_total_function1) ).
cnf(c_66,plain,
( ~ product1(X0,X1,X2)
| ~ product1(X0,X3,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_right_cancellation) ).
cnf(c_67,plain,
( ~ product1(X0,X1,X2)
| ~ product1(X3,X1,X2)
| equalish(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_left_cancellation) ).
cnf(c_68,plain,
product1(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_idempotence) ).
cnf(c_70,plain,
( ~ product2(X0,X1,X2)
| ~ product2(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_total_function2) ).
cnf(c_73,plain,
product2(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_idempotence) ).
cnf(c_74,negated_conjecture,
( ~ product1(X0,X1,X2)
| ~ product1(X2,X1,X3)
| product2(X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg1a) ).
cnf(c_76,plain,
product1(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_180,plain,
( ~ product2(X0,X1,e_1)
| ~ product2(X0,X1,e_2) ),
inference(resolution,[status(thm)],[c_58,c_70]) ).
cnf(c_204,plain,
( ~ product1(X0,e_1,X1)
| ~ product1(X0,e_2,X1) ),
inference(resolution,[status(thm)],[c_58,c_66]) ).
cnf(c_220,plain,
( ~ product1(e_1,X0,X1)
| ~ product1(e_2,X0,X1) ),
inference(resolution,[status(thm)],[c_58,c_67]) ).
cnf(c_221,plain,
( ~ product1(e_1,e_1,e_1)
| ~ product1(e_2,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_220]) ).
cnf(c_252,plain,
( ~ product1(X0,e_1,X1)
| ~ product1(X0,e_3,X1) ),
inference(resolution,[status(thm)],[c_59,c_66]) ).
cnf(c_268,plain,
( ~ product1(e_1,X0,X1)
| ~ product1(e_3,X0,X1) ),
inference(resolution,[status(thm)],[c_59,c_67]) ).
cnf(c_269,plain,
( ~ product1(e_1,e_1,e_1)
| ~ product1(e_3,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_268]) ).
cnf(c_378,negated_conjecture,
( ~ product1(X0,X1,X2)
| ~ product1(X2,X1,X3)
| product2(X3,X0,X1) ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_379,plain,
( ~ product2(e_2,e_2,e_1)
| ~ product2(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_180]) ).
cnf(c_380,plain,
product2(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_384,plain,
product1(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_393,plain,
( ~ product1(X0,X1,X2)
| ~ product1(X2,X1,e_2)
| product2(e_2,X0,X1) ),
inference(instantiation,[status(thm)],[c_378]) ).
cnf(c_401,plain,
product1(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_431,plain,
( ~ group_element(X0)
| ~ group_element(e_2)
| product1(e_2,X0,e_1)
| product1(e_2,X0,e_2)
| product1(e_2,X0,e_3) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_433,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_431]) ).
cnf(c_438,plain,
( ~ group_element(X0)
| ~ group_element(e_3)
| product1(e_3,X0,e_1)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_3) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_441,plain,
( ~ group_element(e_1)
| ~ group_element(e_3)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_438]) ).
cnf(c_483,plain,
( ~ product1(e_2,e_1,e_2)
| ~ product1(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_204]) ).
cnf(c_501,plain,
( ~ product1(e_3,e_1,e_3)
| ~ product1(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_252]) ).
cnf(c_573,plain,
( ~ product1(X0,X1,e_3)
| ~ product1(e_3,X1,e_2)
| product2(e_2,X0,X1) ),
inference(instantiation,[status(thm)],[c_393]) ).
cnf(c_695,plain,
( ~ product1(e_2,X0,e_3)
| ~ product1(e_3,X0,e_2)
| product2(e_2,e_2,X0) ),
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_700,plain,
( ~ product1(e_2,e_1,e_3)
| ~ product1(e_3,e_1,e_2)
| product2(e_2,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_695]) ).
cnf(c_701,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_700,c_501,c_483,c_441,c_433,c_401,c_384,c_380,c_379,c_269,c_221,c_76,c_55,c_56,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP123-7.003 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 : Thu May 2 23:40:04 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.27/1.18 % SZS status Started for theBenchmark.p
% 2.27/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.27/1.18
% 2.27/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.27/1.18
% 2.27/1.18 ------ iProver source info
% 2.27/1.18
% 2.27/1.18 git: date: 2024-05-02 19:28:25 +0000
% 2.27/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.27/1.18 git: non_committed_changes: false
% 2.27/1.18
% 2.27/1.18 ------ Parsing...successful
% 2.27/1.18
% 2.27/1.18 ------ preprocesses with Option_epr_non_horn_non_eq
% 2.27/1.18
% 2.27/1.18
% 2.27/1.18 ------ Preprocessing... sf_s rm: 6 0s sf_e pe_s pe:1:0s pe_e
% 2.27/1.18
% 2.27/1.18 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 2.27/1.18 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.27/1.18 ------ Proving...
% 2.27/1.18 ------ Problem Properties
% 2.27/1.18
% 2.27/1.18
% 2.27/1.18 clauses 26
% 2.27/1.18 conjectures 1
% 2.27/1.18 EPR 26
% 2.27/1.18 Horn 24
% 2.27/1.18 unary 5
% 2.27/1.18 binary 18
% 2.27/1.18 lits 54
% 2.27/1.18 lits eq 0
% 2.27/1.18 fd_pure 0
% 2.27/1.18 fd_pseudo 0
% 2.27/1.18 fd_cond 0
% 2.27/1.18 fd_pseudo_cond 0
% 2.27/1.18 AC symbols 0
% 2.27/1.18
% 2.27/1.18 ------ Schedule EPR non Horn non eq is on
% 2.27/1.18
% 2.27/1.18 ------ no equalities: superposition off
% 2.27/1.18
% 2.27/1.18 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.27/1.18
% 2.27/1.18
% 2.27/1.18 ------
% 2.27/1.18 Current options:
% 2.27/1.18 ------
% 2.27/1.18
% 2.27/1.18
% 2.27/1.18
% 2.27/1.18
% 2.27/1.18 ------ Proving...
% 2.27/1.18
% 2.27/1.18
% 2.27/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.27/1.18
% 2.27/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.27/1.18
% 2.27/1.18
%------------------------------------------------------------------------------