TSTP Solution File: GRP128-1.003 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP128-1.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 02:21:21 EDT 2024
% Result : Unsatisfiable 2.69s 1.18s
% Output : CNFRefutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 68 ( 7 unt; 12 nHn; 68 RR)
% Number of literals : 191 ( 0 equ; 121 neg)
% Maximal clause size : 8 ( 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 : 75 ( 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,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(c_52,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(c_53,plain,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(c_55,plain,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_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/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c_60,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c_61,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c_62,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X2,X1,X3)
| product(X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
cnf(c_64,plain,
( ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_125,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[status(thm)],[c_52,c_60]) ).
cnf(c_126,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_133,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[c_52,c_61]) ).
cnf(c_149,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[c_53,c_60]) ).
cnf(c_157,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[c_53,c_61]) ).
cnf(c_158,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_3,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_157]) ).
cnf(c_176,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[c_55,c_60]) ).
cnf(c_184,plain,
( ~ product(e_2,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[c_55,c_61]) ).
cnf(c_216,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X2,X1,X3)
| product(X0,X2,X3) ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_217,plain,
( ~ product(X0,X1,X2)
| ~ product(X2,X1,e_2)
| product(X0,X2,e_2) ),
inference(instantiation,[status(thm)],[c_216]) ).
cnf(c_218,plain,
( ~ product(X0,X1,e_2)
| ~ product(e_2,X1,X2)
| product(X0,e_2,X2) ),
inference(instantiation,[status(thm)],[c_216]) ).
cnf(c_220,plain,
( ~ product(X0,X1,X2)
| ~ product(e_2,X1,X0)
| product(e_2,X0,X2) ),
inference(instantiation,[status(thm)],[c_216]) ).
cnf(c_222,plain,
( ~ product(X0,X1,e_3)
| ~ product(e_3,X1,X2)
| product(X0,e_3,X2) ),
inference(instantiation,[status(thm)],[c_216]) ).
cnf(c_223,plain,
( ~ product(e_1,e_1,e_3)
| ~ product(e_3,e_1,e_1)
| product(e_1,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_222]) ).
cnf(c_224,plain,
( ~ product(X0,X1,X2)
| ~ product(e_3,X1,X0)
| product(e_3,X0,X2) ),
inference(instantiation,[status(thm)],[c_216]) ).
cnf(c_232,plain,
( ~ product(e_1,X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(instantiation,[status(thm)],[c_133]) ).
cnf(c_234,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_237,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_234]) ).
cnf(c_239,plain,
( ~ product(e_2,X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(instantiation,[status(thm)],[c_184]) ).
cnf(c_240,plain,
( ~ product(e_1,X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(instantiation,[status(thm)],[c_157]) ).
cnf(c_242,plain,
( ~ product(X0,X1,e_2)
| ~ product(e_3,X1,X0)
| product(e_3,X0,e_2) ),
inference(instantiation,[status(thm)],[c_224]) ).
cnf(c_244,plain,
( ~ product(X0,X1,e_2)
| ~ product(e_2,X1,X0)
| product(e_2,X0,e_2) ),
inference(instantiation,[status(thm)],[c_220]) ).
cnf(c_245,plain,
( ~ product(X0,X1,e_2)
| ~ product(e_2,X1,e_2)
| product(X0,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_217]) ).
cnf(c_249,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_242]) ).
cnf(c_254,plain,
( ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_149]) ).
cnf(c_269,plain,
( ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_176]) ).
cnf(c_288,plain,
( ~ product(e_1,X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(instantiation,[status(thm)],[c_133]) ).
cnf(c_309,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_234]) ).
cnf(c_310,plain,
( ~ product(X0,e_3,e_2)
| ~ product(e_2,e_3,e_1)
| product(X0,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_218]) ).
cnf(c_311,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_3,e_1)
| product(e_1,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_310]) ).
cnf(c_313,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_240]) ).
cnf(c_338,plain,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_239]) ).
cnf(c_339,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_232]) ).
cnf(c_437,plain,
( ~ product(e_3,X0,X1)
| ~ group_element(X0)
| ~ group_element(X2)
| product(X2,X0,e_1)
| product(X2,X0,e_2)
| product(X2,e_3,X1) ),
inference(superposition,[status(thm)],[c_58,c_216]) ).
cnf(c_531,plain,
( ~ product(e_3,e_3,X0)
| ~ product(e_1,e_3,e_3)
| product(e_1,e_3,X0) ),
inference(instantiation,[status(thm)],[c_222]) ).
cnf(c_534,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_1)
| product(e_1,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_531]) ).
cnf(c_647,plain,
( ~ product(e_2,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(instantiation,[status(thm)],[c_184]) ).
cnf(c_676,plain,
( ~ product(X0,e_3,e_3)
| ~ product(e_3,e_3,X1)
| product(X0,e_3,X1) ),
inference(instantiation,[status(thm)],[c_222]) ).
cnf(c_681,plain,
( ~ group_element(e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_234]) ).
cnf(c_682,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_157]) ).
cnf(c_720,plain,
( ~ product(e_2,X0,e_3)
| ~ product(e_3,X0,e_2)
| product(e_2,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_244]) ).
cnf(c_866,plain,
( ~ product(e_2,e_3,e_2)
| product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_245]) ).
cnf(c_876,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_288]) ).
cnf(c_890,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| ~ group_element(e_3)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,e_3,e_3)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2) ),
inference(superposition,[status(thm)],[c_58,c_437]) ).
cnf(c_891,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,e_3,e_3)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_890,c_51]) ).
cnf(c_937,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_254]) ).
cnf(c_994,plain,
( ~ group_element(X0)
| ~ group_element(e_3)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,e_3,e_3) ),
inference(equality_factoring,[status(thm)],[c_891]) ).
cnf(c_996,plain,
( ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,e_3,e_3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_994,c_51]) ).
cnf(c_1152,plain,
( ~ group_element(e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_996]) ).
cnf(c_1401,plain,
( ~ product(e_3,e_3,X0)
| ~ product(e_2,e_3,e_3)
| product(e_2,e_3,X0) ),
inference(instantiation,[status(thm)],[c_676]) ).
cnf(c_1402,plain,
( ~ product(e_2,e_3,e_3)
| ~ product(e_3,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_1401]) ).
cnf(c_1475,plain,
( ~ product(e_2,e_3,e_3)
| ~ product(e_3,e_3,e_2)
| product(e_2,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_720]) ).
cnf(c_1577,plain,
( ~ product(X0,e_2,e_1)
| ~ product(e_1,e_2,e_1)
| product(X0,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_216]) ).
cnf(c_1578,plain,
( ~ product(e_1,e_2,e_1)
| product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_1577]) ).
cnf(c_1606,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_269]) ).
cnf(c_1627,plain,
( ~ product(e_2,e_3,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_647]) ).
cnf(c_1727,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1627,c_1606,c_1578,c_1475,c_1402,c_1152,c_937,c_876,c_866,c_682,c_681,c_534,c_338,c_339,c_313,c_311,c_309,c_249,c_237,c_223,c_158,c_126,c_64,c_49,c_50,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP128-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 2 23:51:35 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 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
% 2.69/1.18 % SZS status Started for theBenchmark.p
% 2.69/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.69/1.18
% 2.69/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.69/1.18
% 2.69/1.18 ------ iProver source info
% 2.69/1.18
% 2.69/1.18 git: date: 2024-05-02 19:28:25 +0000
% 2.69/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.69/1.18 git: non_committed_changes: false
% 2.69/1.18
% 2.69/1.18 ------ Parsing...successful
% 2.69/1.18
% 2.69/1.18 ------ preprocesses with Option_epr_non_horn_non_eq
% 2.69/1.18
% 2.69/1.18
% 2.69/1.18 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e
% 2.69/1.18
% 2.69/1.18 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 2.69/1.18 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.69/1.18 ------ Proving...
% 2.69/1.18 ------ Problem Properties
% 2.69/1.18
% 2.69/1.18
% 2.69/1.18 clauses 14
% 2.69/1.18 conjectures 1
% 2.69/1.18 EPR 14
% 2.69/1.18 Horn 13
% 2.69/1.18 unary 3
% 2.69/1.18 binary 9
% 2.69/1.18 lits 29
% 2.69/1.18 lits eq 0
% 2.69/1.18 fd_pure 0
% 2.69/1.18 fd_pseudo 0
% 2.69/1.18 fd_cond 0
% 2.69/1.18 fd_pseudo_cond 0
% 2.69/1.18 AC symbols 0
% 2.69/1.18
% 2.69/1.18 ------ Schedule EPR non Horn non eq is on
% 2.69/1.18
% 2.69/1.18 ------ no equalities: superposition off
% 2.69/1.18
% 2.69/1.18 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.69/1.18
% 2.69/1.18
% 2.69/1.18 ------
% 2.69/1.18 Current options:
% 2.69/1.18 ------
% 2.69/1.18
% 2.69/1.18
% 2.69/1.18
% 2.69/1.18
% 2.69/1.18 ------ Proving...
% 2.69/1.18
% 2.69/1.18
% 2.69/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.69/1.18
% 2.69/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.69/1.18
% 2.69/1.19
%------------------------------------------------------------------------------