TSTP Solution File: GRP123-3.003 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP123-3.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 2.33s 1.14s
% Output : CNFRefutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 30 ( 11 unt; 4 nHn; 29 RR)
% Number of literals : 83 ( 0 equ; 51 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 : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_65,plain,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(c_66,plain,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(c_67,plain,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(c_68,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(c_69,plain,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(c_70,plain,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(c_71,plain,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
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/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c_76,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c_77,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c_78,plain,
product(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).
cnf(c_79,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X2,X1,X5)
| ~ product(X4,X3,X5)
| equalish(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg1_1) ).
cnf(c_81,plain,
product(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_494,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[c_69,c_76]) ).
cnf(c_495,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_494]) ).
cnf(c_698,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X2,X1,X5)
| ~ product(X4,X3,X5)
| equalish(X2,X4) ),
inference(demodulation,[status(thm)],[c_79]) ).
cnf(c_703,plain,
( ~ product(X0,X1,e_2)
| ~ product(X0,X2,e_1)
| ~ product(e_1,X2,X3)
| ~ product(e_2,X1,X3)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_698]) ).
cnf(c_723,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_724,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_3,X0,X1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_726,plain,
( ~ product(e_2,X0,X1)
| ~ product(e_3,X0,X1)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_758,plain,
product(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_760,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_761,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_760]) ).
cnf(c_889,plain,
( ~ product(e_2,e_3,e_3)
| ~ product(e_3,e_3,e_3)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_726]) ).
cnf(c_890,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_3)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_724]) ).
cnf(c_926,plain,
( ~ product(X0,X1,e_1)
| ~ product(e_1,X1,X2)
| ~ product(X0,e_3,e_2)
| ~ product(e_2,e_3,X2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_703]) ).
cnf(c_927,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_3,e_1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_926]) ).
cnf(c_930,plain,
( ~ group_element(e_2)
| ~ group_element(e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_760]) ).
cnf(c_932,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_3,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_723]) ).
cnf(c_933,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_932,c_930,c_927,c_889,c_890,c_761,c_758,c_495,c_68,c_69,c_70,c_71,c_81,c_65,c_66,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP123-3.003 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n023.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 00:03:39 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.44 Running first-order theorem proving
% 0.18/0.44 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
% 2.33/1.14 % SZS status Started for theBenchmark.p
% 2.33/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 2.33/1.14
% 2.33/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.33/1.14
% 2.33/1.14 ------ iProver source info
% 2.33/1.14
% 2.33/1.14 git: date: 2024-05-02 19:28:25 +0000
% 2.33/1.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.33/1.14 git: non_committed_changes: false
% 2.33/1.14
% 2.33/1.14 ------ Parsing...successful
% 2.33/1.14
% 2.33/1.14 ------ preprocesses with Option_epr_non_horn_non_eq
% 2.33/1.14
% 2.33/1.14
% 2.33/1.14 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 2.33/1.14
% 2.33/1.14 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 2.33/1.14 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.33/1.14 ------ Proving...
% 2.33/1.14 ------ Problem Properties
% 2.33/1.14
% 2.33/1.14
% 2.33/1.14 clauses 32
% 2.33/1.14 conjectures 2
% 2.33/1.14 EPR 32
% 2.33/1.14 Horn 30
% 2.33/1.14 unary 20
% 2.33/1.14 binary 0
% 2.33/1.14 lits 71
% 2.33/1.14 lits eq 0
% 2.33/1.14 fd_pure 0
% 2.33/1.14 fd_pseudo 0
% 2.33/1.14 fd_cond 0
% 2.33/1.14 fd_pseudo_cond 0
% 2.33/1.14 AC symbols 0
% 2.33/1.14
% 2.33/1.14 ------ Schedule EPR non Horn non eq is on
% 2.33/1.14
% 2.33/1.14 ------ no equalities: superposition off
% 2.33/1.14
% 2.33/1.14 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.33/1.14
% 2.33/1.14
% 2.33/1.14 ------
% 2.33/1.14 Current options:
% 2.33/1.14 ------
% 2.33/1.14
% 2.33/1.14
% 2.33/1.14
% 2.33/1.14
% 2.33/1.14 ------ Proving...
% 2.33/1.14
% 2.33/1.14
% 2.33/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 2.33/1.14
% 2.33/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.33/1.14
% 2.33/1.14
%------------------------------------------------------------------------------