TSTP Solution File: GRP133-2.003 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP133-2.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 00:58:11 EDT 2023
% Result : Unsatisfiable 2.00s 1.17s
% Output : CNFRefutation 2.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 66 ( 12 unt; 14 nHn; 66 RR)
% Number of literals : 166 ( 0 equ; 104 neg)
% Maximal clause size : 5 ( 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 : 53 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
next(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_then_e_2) ).
cnf(c_53,plain,
greater(e_3,e_2),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',no_redundancy) ).
cnf(c_55,plain,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(c_56,plain,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(c_57,plain,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(c_58,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(c_59,plain,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(c_61,plain,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c_66,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c_67,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c_68,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X1,X0,X3)
| product(X2,X3,X0) ),
file('/export/starexec/sandbox2/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_205,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_3,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_204]) ).
cnf(c_222,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[c_61,c_66]) ).
cnf(c_324,plain,
( ~ product(X0,e_2,X1)
| ~ product(e_2,X0,X2)
| product(X2,X1,e_2) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_327,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X0,e_2)
| product(e_2,X2,X1) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_328,plain,
( ~ product(X0,e_3,X1)
| ~ product(e_3,X0,X2)
| product(X2,X1,e_3) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_329,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X0,e_3)
| product(X2,e_3,X0) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_334,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,
( ~ 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_334]) ).
cnf(c_337,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_338,plain,
( ~ product(e_1,X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(instantiation,[status(thm)],[c_181]) ).
cnf(c_339,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_337]) ).
cnf(c_340,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_64]) ).
cnf(c_343,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_340]) ).
cnf(c_344,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_347,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_344]) ).
cnf(c_357,plain,
( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_173]) ).
cnf(c_359,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_357]) ).
cnf(c_380,plain,
( ~ product(e_2,e_2,X0)
| ~ product(e_2,e_2,e_1)
| product(e_1,X0,e_2) ),
inference(instantiation,[status(thm)],[c_324]) ).
cnf(c_381,plain,
( ~ product(e_2,e_2,e_1)
| product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_380]) ).
cnf(c_393,plain,
( ~ product(e_1,X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(instantiation,[status(thm)],[c_181]) ).
cnf(c_394,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_2,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_393]) ).
cnf(c_399,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_2,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_411,plain,
( ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_222]) ).
cnf(c_412,plain,
( ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_414,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_411]) ).
cnf(c_428,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_344]) ).
cnf(c_429,plain,
( ~ product(e_3,e_3,X0)
| ~ product(e_3,e_3,e_1)
| product(X0,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_328]) ).
cnf(c_432,plain,
( ~ product(e_3,e_3,e_1)
| product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_429]) ).
cnf(c_449,plain,
( ~ product(e_1,e_2,e_1)
| ~ product(e_2,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_338]) ).
cnf(c_519,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_521,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_519,c_55]) ).
cnf(c_601,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_1,e_3)
| product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_329]) ).
cnf(c_607,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_204]) ).
cnf(c_617,plain,
( ~ product(e_1,e_1,X0)
| product(e_2,X0,e_1)
| product(e_1,e_1,e_1) ),
inference(superposition,[status(thm)],[c_521,c_68]) ).
cnf(c_659,plain,
( ~ product(e_1,e_3,e_2)
| product(e_1,e_1,e_1) ),
inference(superposition,[status(thm)],[c_521,c_196]) ).
cnf(c_774,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_1,e_3)
| product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_329]) ).
cnf(c_775,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_1,e_2)
| product(e_2,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_327]) ).
cnf(c_791,plain,
~ product(e_1,e_3,e_2),
inference(global_subsumption_just,[status(thm)],[c_659,c_56,c_55,c_160,c_174,c_182,c_336,c_339,c_399,c_414,c_432,c_659,c_775,c_774]) ).
cnf(c_820,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_2,e_1) ),
inference(superposition,[status(thm)],[c_521,c_617]) ).
cnf(c_910,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_412]) ).
cnf(c_927,plain,
product(e_2,e_2,e_1),
inference(global_subsumption_just,[status(thm)],[c_820,c_57,c_55,c_160,c_197,c_205,c_343,c_347,c_428,c_432,c_601,c_607,c_791,c_820,c_910]) ).
cnf(c_948,plain,
( ~ product(X0,e_2,e_3)
| ~ product(e_2,X0,e_1)
| product(e_1,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_329]) ).
cnf(c_951,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_1,e_1)
| product(e_1,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_948]) ).
cnf(c_952,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_951,c_927,c_791,c_774,c_449,c_432,c_394,c_381,c_359,c_339,c_336,c_160,c_55,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP133-2.003 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 20:20:17 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.00/1.17 % SZS status Started for theBenchmark.p
% 2.00/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 2.00/1.17
% 2.00/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.00/1.17
% 2.00/1.17 ------ iProver source info
% 2.00/1.17
% 2.00/1.17 git: date: 2023-05-31 18:12:56 +0000
% 2.00/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.00/1.17 git: non_committed_changes: false
% 2.00/1.17 git: last_make_outside_of_git: false
% 2.00/1.17
% 2.00/1.17 ------ Parsing...successful
% 2.00/1.17
% 2.00/1.17 ------ preprocesses with Option_epr_non_horn_non_eq
% 2.00/1.17
% 2.00/1.17
% 2.00/1.17 ------ 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
% 2.00/1.17
% 2.00/1.17 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 2.00/1.17 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.00/1.17 ------ Proving...
% 2.00/1.17 ------ Problem Properties
% 2.00/1.17
% 2.00/1.17
% 2.00/1.17 clauses 15
% 2.00/1.17 conjectures 1
% 2.00/1.17 EPR 15
% 2.00/1.17 Horn 14
% 2.00/1.17 unary 4
% 2.00/1.17 binary 9
% 2.00/1.17 lits 30
% 2.00/1.17 lits eq 0
% 2.00/1.17 fd_pure 0
% 2.00/1.17 fd_pseudo 0
% 2.00/1.17 fd_cond 0
% 2.00/1.17 fd_pseudo_cond 0
% 2.00/1.17 AC symbols 0
% 2.00/1.17
% 2.00/1.17 ------ Schedule EPR non Horn non eq is on
% 2.00/1.17
% 2.00/1.17 ------ no equalities: superposition off
% 2.00/1.17
% 2.00/1.17 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.00/1.17
% 2.00/1.17
% 2.00/1.17 ------
% 2.00/1.17 Current options:
% 2.00/1.17 ------
% 2.00/1.17
% 2.00/1.17
% 2.00/1.17
% 2.00/1.17
% 2.00/1.17 ------ Proving...
% 2.00/1.17
% 2.00/1.17
% 2.00/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 2.00/1.17
% 2.00/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.00/1.17
% 2.00/1.17
%------------------------------------------------------------------------------