TSTP Solution File: GRP130-2.003 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP130-2.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 02:21:24 EDT 2024
% Result : Unsatisfiable 2.35s 1.16s
% Output : CNFRefutation 2.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 77 ( 11 unt; 16 nHn; 77 RR)
% Number of literals : 211 ( 0 equ; 133 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 73 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
next(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_then_e_2) ).
cnf(c_53,plain,
greater(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_2) ).
cnf(c_54,plain,
( ~ product(X0,e_1,X1)
| ~ next(X0,X2)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy) ).
cnf(c_55,plain,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(c_56,plain,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(c_57,plain,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(c_58,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(c_59,plain,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(c_61,plain,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(c_64,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_66,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c_67,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c_68,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X0,X2,X3)
| product(X3,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(c_140,plain,
( ~ product(e_1,e_1,X0)
| ~ greater(X0,e_2) ),
inference(resolution,[status(thm)],[c_49,c_54]) ).
cnf(c_160,plain,
~ product(e_1,e_1,e_3),
inference(resolution,[status(thm)],[c_53,c_140]) ).
cnf(c_173,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[status(thm)],[c_58,c_66]) ).
cnf(c_174,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_173]) ).
cnf(c_181,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[c_58,c_67]) ).
cnf(c_182,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_181]) ).
cnf(c_196,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[c_59,c_66]) ).
cnf(c_197,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_204,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[c_59,c_67]) ).
cnf(c_222,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[c_61,c_66]) ).
cnf(c_230,plain,
( ~ product(e_2,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[c_61,c_67]) ).
cnf(c_322,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X0,X2,X3)
| product(X3,X1,X0) ),
inference(demodulation,[status(thm)],[c_68]) ).
cnf(c_323,plain,
( ~ product(e_3,X0,e_1)
| ~ product(e_3,e_1,X0)
| product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_322]) ).
cnf(c_324,plain,
( ~ product(e_3,e_1,e_1)
| product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_323]) ).
cnf(c_327,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,e_2,X1)
| product(X2,e_2,X0) ),
inference(instantiation,[status(thm)],[c_322]) ).
cnf(c_328,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X2,e_2)
| product(e_2,X1,X0) ),
inference(instantiation,[status(thm)],[c_322]) ).
cnf(c_331,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X2,e_3)
| product(e_3,X1,X0) ),
inference(instantiation,[status(thm)],[c_322]) ).
cnf(c_335,plain,
( ~ group_element(X0)
| ~ group_element(e_2)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_336,plain,
( ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_173]) ).
cnf(c_337,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_335]) ).
cnf(c_338,plain,
( ~ group_element(X0)
| ~ group_element(e_2)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_340,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_338]) ).
cnf(c_342,plain,
( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_222]) ).
cnf(c_345,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_64]) ).
cnf(c_346,plain,
( ~ product(e_2,X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(instantiation,[status(thm)],[c_230]) ).
cnf(c_348,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_345]) ).
cnf(c_351,plain,
( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_173]) ).
cnf(c_353,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_351]) ).
cnf(c_355,plain,
( ~ product(e_2,X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(instantiation,[status(thm)],[c_230]) ).
cnf(c_356,plain,
( ~ product(e_1,X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(instantiation,[status(thm)],[c_204]) ).
cnf(c_358,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_356]) ).
cnf(c_359,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_355]) ).
cnf(c_363,plain,
( ~ product(X0,X1,e_2)
| ~ product(X0,e_2,X1)
| product(e_2,e_2,X0) ),
inference(instantiation,[status(thm)],[c_327]) ).
cnf(c_364,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_1,e_2,e_1)
| product(e_2,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_363]) ).
cnf(c_377,plain,
( ~ product(e_1,X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(instantiation,[status(thm)],[c_181]) ).
cnf(c_379,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_2,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_393,plain,
( ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_222]) ).
cnf(c_395,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_393]) ).
cnf(c_419,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_342]) ).
cnf(c_420,plain,
( ~ product(e_2,e_1,e_1)
| ~ product(e_2,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_435,plain,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_346]) ).
cnf(c_484,plain,
( ~ product(X0,X1,e_2)
| ~ product(X0,e_2,e_3)
| product(e_3,X1,X0) ),
inference(instantiation,[status(thm)],[c_331]) ).
cnf(c_485,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_1,e_2,e_3)
| product(e_3,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_484]) ).
cnf(c_535,plain,
( ~ product(X0,e_3,X1)
| ~ group_element(X0)
| ~ group_element(X2)
| product(X1,X2,X0)
| product(X0,X2,e_1)
| product(X0,X2,e_2) ),
inference(superposition,[status(thm)],[c_64,c_322]) ).
cnf(c_536,plain,
( ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(superposition,[status(thm)],[c_64,c_160]) ).
cnf(c_538,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_536,c_55]) ).
cnf(c_596,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_338]) ).
cnf(c_597,plain,
( ~ product(e_2,e_1,e_3)
| ~ product(e_2,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_609,plain,
( ~ product(X0,X1,e_3)
| ~ product(X0,e_3,e_2)
| product(e_2,X1,X0) ),
inference(instantiation,[status(thm)],[c_328]) ).
cnf(c_651,plain,
( ~ product(e_2,e_1,e_3)
| ~ product(e_3,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_230]) ).
cnf(c_653,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_3,e_3,e_1)
| product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_323]) ).
cnf(c_656,plain,
product(e_1,e_1,e_1),
inference(global_subsumption_just,[status(thm)],[c_538,c_57,c_56,c_55,c_160,c_324,c_337,c_340,c_348,c_353,c_358,c_364,c_379,c_420,c_485,c_538,c_651]) ).
cnf(c_726,plain,
( ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_2)
| product(e_2,e_2,X0) ),
inference(instantiation,[status(thm)],[c_363]) ).
cnf(c_727,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_1,e_3,e_2)
| product(e_2,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_726]) ).
cnf(c_742,plain,
( ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_2)
| product(e_3,e_3,X0) ),
inference(instantiation,[status(thm)],[c_484]) ).
cnf(c_743,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_1,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_742]) ).
cnf(c_807,plain,
( ~ product(e_2,X0,e_3)
| ~ product(e_2,e_3,e_2)
| product(e_2,X0,e_2) ),
inference(instantiation,[status(thm)],[c_609]) ).
cnf(c_808,plain,
( ~ product(e_2,e_1,e_3)
| ~ product(e_2,e_3,e_2)
| product(e_2,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_807]) ).
cnf(c_978,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| ~ group_element(e_3)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(e_3,X1,X0)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2) ),
inference(superposition,[status(thm)],[c_64,c_535]) ).
cnf(c_979,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(e_3,X1,X0)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_978,c_57]) ).
cnf(c_1088,plain,
( ~ group_element(X0)
| ~ group_element(e_3)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(e_3,e_3,X0) ),
inference(equality_factoring,[status(thm)],[c_979]) ).
cnf(c_1090,plain,
( ~ group_element(X0)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(e_3,e_3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1088,c_57]) ).
cnf(c_1200,plain,
( ~ group_element(e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_1090]) ).
cnf(c_1347,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1200,c_808,c_743,c_727,c_656,c_653,c_597,c_596,c_435,c_419,c_395,c_359,c_348,c_340,c_337,c_324,c_197,c_182,c_174,c_160,c_55,c_56,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP130-2.003 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n019.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 23:41:59 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.20/0.45 Running first-order theorem proving
% 0.20/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.35/1.16 % SZS status Started for theBenchmark.p
% 2.35/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 2.35/1.16
% 2.35/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.35/1.16
% 2.35/1.16 ------ iProver source info
% 2.35/1.16
% 2.35/1.16 git: date: 2024-05-02 19:28:25 +0000
% 2.35/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.35/1.16 git: non_committed_changes: false
% 2.35/1.16
% 2.35/1.16 ------ Parsing...successful
% 2.35/1.16
% 2.35/1.16 ------ preprocesses with Option_epr_non_horn_non_eq
% 2.35/1.16
% 2.35/1.16
% 2.35/1.16 ------ 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
% 2.35/1.16
% 2.35/1.16 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 2.35/1.16 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.35/1.16 ------ Proving...
% 2.35/1.16 ------ Problem Properties
% 2.35/1.16
% 2.35/1.16
% 2.35/1.16 clauses 15
% 2.35/1.16 conjectures 1
% 2.35/1.16 EPR 15
% 2.35/1.16 Horn 14
% 2.35/1.16 unary 4
% 2.35/1.16 binary 9
% 2.35/1.16 lits 30
% 2.35/1.16 lits eq 0
% 2.35/1.16 fd_pure 0
% 2.35/1.16 fd_pseudo 0
% 2.35/1.16 fd_cond 0
% 2.35/1.16 fd_pseudo_cond 0
% 2.35/1.16 AC symbols 0
% 2.35/1.16
% 2.35/1.16 ------ Schedule EPR non Horn non eq is on
% 2.35/1.16
% 2.35/1.16 ------ no equalities: superposition off
% 2.35/1.16
% 2.35/1.16 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.35/1.16
% 2.35/1.16
% 2.35/1.16 ------
% 2.35/1.16 Current options:
% 2.35/1.16 ------
% 2.35/1.16
% 2.35/1.16
% 2.35/1.16
% 2.35/1.16
% 2.35/1.16 ------ Proving...
% 2.35/1.16
% 2.35/1.16
% 2.35/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 2.35/1.16
% 2.35/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.35/1.16
% 2.35/1.17
%------------------------------------------------------------------------------