TSTP Solution File: GRP125-1.003 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP125-1.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 00:57:55 EDT 2023
% Result : Unsatisfiable 0.48s 1.16s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 9 unt; 5 nHn; 29 RR)
% Number of literals : 74 ( 0 equ; 44 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 : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(c_51,plain,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(c_52,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(c_53,plain,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(c_58,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/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c_59,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
cnf(c_60,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c_61,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c_62,plain,
product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
cnf(c_63,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X1,X0,X3)
| product(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(c_64,plain,
product(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_120,plain,
( ~ product(X0,X1,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[c_52,c_59]) ).
cnf(c_152,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[c_53,c_60]) ).
cnf(c_153,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_152]) ).
cnf(c_160,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[c_53,c_61]) ).
cnf(c_161,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_3,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_160]) ).
cnf(c_219,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_220,plain,
product(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_228,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X0,e_2)
| product(e_2,X2,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_230,plain,
product(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_254,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_58]) ).
cnf(c_257,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_254]) ).
cnf(c_258,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) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_261,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) ),
inference(instantiation,[status(thm)],[c_258]) ).
cnf(c_297,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_152]) ).
cnf(c_299,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_160]) ).
cnf(c_347,plain,
( ~ product(e_3,X0,X1)
| ~ product(X0,e_3,e_2)
| product(e_2,X1,X0) ),
inference(instantiation,[status(thm)],[c_228]) ).
cnf(c_446,plain,
( ~ product(X0,e_3,e_2)
| ~ product(e_3,X0,e_2)
| product(e_2,e_2,X0) ),
inference(instantiation,[status(thm)],[c_347]) ).
cnf(c_447,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_3,e_1,e_2)
| product(e_2,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_446]) ).
cnf(c_448,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_447,c_299,c_297,c_261,c_257,c_230,c_220,c_219,c_161,c_153,c_64,c_49,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP125-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.08/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n013.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 : Mon Aug 28 23:25:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.48/1.16 % SZS status Started for theBenchmark.p
% 0.48/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.16
% 0.48/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.48/1.16
% 0.48/1.16 ------ iProver source info
% 0.48/1.16
% 0.48/1.16 git: date: 2023-05-31 18:12:56 +0000
% 0.48/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.48/1.16 git: non_committed_changes: false
% 0.48/1.16 git: last_make_outside_of_git: false
% 0.48/1.16
% 0.48/1.16 ------ Parsing...successful
% 0.48/1.16
% 0.48/1.16 ------ preprocesses with Option_epr_non_horn_non_eq
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e
% 0.48/1.16
% 0.48/1.16 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 0.48/1.16 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.48/1.16 ------ Proving...
% 0.48/1.16 ------ Problem Properties
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 clauses 15
% 0.48/1.16 conjectures 1
% 0.48/1.16 EPR 15
% 0.48/1.16 Horn 14
% 0.48/1.16 unary 4
% 0.48/1.16 binary 9
% 0.48/1.16 lits 30
% 0.48/1.16 lits eq 0
% 0.48/1.16 fd_pure 0
% 0.48/1.16 fd_pseudo 0
% 0.48/1.16 fd_cond 0
% 0.48/1.16 fd_pseudo_cond 0
% 0.48/1.16 AC symbols 0
% 0.48/1.16
% 0.48/1.16 ------ Schedule EPR non Horn non eq is on
% 0.48/1.16
% 0.48/1.16 ------ no equalities: superposition off
% 0.48/1.16
% 0.48/1.16 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 ------
% 0.48/1.16 Current options:
% 0.48/1.16 ------
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 ------ Proving...
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.16
% 0.48/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.16
% 0.48/1.16
%------------------------------------------------------------------------------