TSTP Solution File: GRP131-2.002 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP131-2.002 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 00:58:09 EDT 2023
% Result : Unsatisfiable 0.73s 1.19s
% Output : CNFRefutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 31 ( 4 unt; 7 nHn; 31 RR)
% Number of literals : 88 ( 0 equ; 67 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 : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 44 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_52,plain,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(c_53,plain,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(c_54,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(c_56,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_58,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c_59,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c_60,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X1,X0)
| ~ product(X5,X4,X3)
| equalish(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg1_1) ).
cnf(c_61,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X1,X0)
| ~ product(X5,X4,X3)
| equalish(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg1_2) ).
cnf(c_64,plain,
( ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_147,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[status(thm)],[c_54,c_58]) ).
cnf(c_148,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_147]) ).
cnf(c_155,plain,
( ~ product(X0,X1,e_2)
| ~ product(X0,X2,e_1)
| ~ product(e_1,X2,X3)
| ~ product(e_2,X1,X3) ),
inference(resolution,[status(thm)],[c_54,c_60]) ).
cnf(c_168,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[c_54,c_59]) ).
cnf(c_176,plain,
( ~ product(X0,e_2,X1)
| ~ product(X2,e_1,X3)
| ~ product(X2,e_2,X0)
| ~ product(X3,e_1,X1) ),
inference(resolution,[status(thm)],[c_54,c_61]) ).
cnf(c_248,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_56]) ).
cnf(c_249,plain,
( ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_147]) ).
cnf(c_250,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_248]) ).
cnf(c_251,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_56]) ).
cnf(c_252,plain,
( ~ product(e_1,X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(instantiation,[status(thm)],[c_168]) ).
cnf(c_253,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_251]) ).
cnf(c_258,plain,
( ~ product(X0,X1,e_1)
| ~ product(e_1,X1,X2)
| ~ product(X0,e_2,e_2)
| ~ product(e_2,e_2,X2) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_261,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_258]) ).
cnf(c_264,plain,
( ~ group_element(e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_248]) ).
cnf(c_265,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_168]) ).
cnf(c_267,plain,
( ~ product(e_2,e_1,e_1)
| ~ product(e_2,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_249]) ).
cnf(c_273,plain,
( ~ product(e_1,e_2,e_1)
| ~ product(e_2,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_252]) ).
cnf(c_277,plain,
( ~ product(e_1,X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(instantiation,[status(thm)],[c_168]) ).
cnf(c_278,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_2,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_277]) ).
cnf(c_306,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_1,e_2)
| ~ product(X1,e_2,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_176]) ).
cnf(c_307,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_1,e_2,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_306]) ).
cnf(c_308,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_307,c_278,c_273,c_267,c_265,c_264,c_261,c_253,c_250,c_148,c_64,c_52,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP131-2.002 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.12/0.35 % Computer : n008.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Mon Aug 28 21:12:32 EDT 2023
% 0.12/0.35 % 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 --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.73/1.19 % SZS status Started for theBenchmark.p
% 0.73/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 0.73/1.19
% 0.73/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.73/1.19
% 0.73/1.19 ------ iProver source info
% 0.73/1.19
% 0.73/1.19 git: date: 2023-05-31 18:12:56 +0000
% 0.73/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.73/1.19 git: non_committed_changes: false
% 0.73/1.19 git: last_make_outside_of_git: false
% 0.73/1.19
% 0.73/1.19 ------ Parsing...successful
% 0.73/1.19
% 0.73/1.19 ------ preprocesses with Option_epr_non_horn_non_eq
% 0.73/1.19
% 0.73/1.19
% 0.73/1.19 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 0.73/1.19
% 0.73/1.19 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 0.73/1.19 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.73/1.19 ------ Proving...
% 0.73/1.19 ------ Problem Properties
% 0.73/1.19
% 0.73/1.19
% 0.73/1.19 clauses 8
% 0.73/1.19 conjectures 0
% 0.73/1.19 EPR 8
% 0.73/1.19 Horn 7
% 0.73/1.19 unary 2
% 0.73/1.19 binary 3
% 0.73/1.19 lits 20
% 0.73/1.19 lits eq 0
% 0.73/1.19 fd_pure 0
% 0.73/1.19 fd_pseudo 0
% 0.73/1.19 fd_cond 0
% 0.73/1.19 fd_pseudo_cond 0
% 0.73/1.19 AC symbols 0
% 0.73/1.19
% 0.73/1.19 ------ Schedule EPR non Horn non eq is on
% 0.73/1.19
% 0.73/1.19 ------ no conjectures: strip conj schedule
% 0.73/1.19
% 0.73/1.19 ------ no equalities: superposition off
% 0.73/1.19
% 0.73/1.19 ------ Input Options "--resolution_flag false" stripped conjectures Time Limit: 70.
% 0.73/1.19
% 0.73/1.19
% 0.73/1.19 ------
% 0.73/1.19 Current options:
% 0.73/1.19 ------
% 0.73/1.19
% 0.73/1.19
% 0.73/1.19
% 0.73/1.19
% 0.73/1.19 ------ Proving...
% 0.73/1.19
% 0.73/1.19
% 0.73/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 0.73/1.19
% 0.73/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
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% 0.73/1.19
%------------------------------------------------------------------------------