TSTP Solution File: GRP028-3 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP028-3 : TPTP v8.2.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 : Mon Jun 24 06:57:35 EDT 2024
% Result : Unsatisfiable 2.20s 1.17s
% Output : CNFRefutation 2.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 15 ( 10 unt; 0 nHn; 12 RR)
% Number of literals : 29 ( 0 equ; 18 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X5,X3)
| product(X2,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).
cnf(c_52,plain,
product(left_solution(X0,X1),X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_soln) ).
cnf(c_53,plain,
product(X0,right_solution(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_soln) ).
cnf(c_54,negated_conjecture,
~ product(not_identity(X0),X0,not_identity(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).
cnf(c_55,plain,
product(iProver_bot,right_solution(iProver_bot,iProver_bot),iProver_bot),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_83,negated_conjecture,
~ product(not_identity(X0),X0,not_identity(X0)),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_89,plain,
( ~ product(left_solution(X0,X1),X0,X1)
| ~ product(left_solution(X0,X1),X2,X3)
| ~ product(X0,X4,X2)
| product(X1,X4,X3) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_117,plain,
( ~ product(left_solution(X0,X1),X0,X1)
| ~ product(left_solution(X0,X1),X2,X3)
| ~ product(X0,right_solution(X0,X2),X2)
| product(X1,right_solution(X0,X2),X3) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_307,plain,
( ~ product(left_solution(X0,not_identity(right_solution(X0,X1))),X0,not_identity(right_solution(X0,X1)))
| ~ product(left_solution(X0,not_identity(right_solution(X0,X1))),X1,not_identity(right_solution(X0,X1)))
| ~ product(X0,right_solution(X0,X1),X1)
| product(not_identity(right_solution(X0,X1)),right_solution(X0,X1),not_identity(right_solution(X0,X1))) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_308,plain,
~ product(not_identity(right_solution(X0,X1)),right_solution(X0,X1),not_identity(right_solution(X0,X1))),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_309,plain,
( ~ product(left_solution(iProver_bot,not_identity(right_solution(iProver_bot,iProver_bot))),iProver_bot,not_identity(right_solution(iProver_bot,iProver_bot)))
| ~ product(iProver_bot,right_solution(iProver_bot,iProver_bot),iProver_bot)
| product(not_identity(right_solution(iProver_bot,iProver_bot)),right_solution(iProver_bot,iProver_bot),not_identity(right_solution(iProver_bot,iProver_bot))) ),
inference(instantiation,[status(thm)],[c_307]) ).
cnf(c_310,plain,
~ product(not_identity(right_solution(iProver_bot,iProver_bot)),right_solution(iProver_bot,iProver_bot),not_identity(right_solution(iProver_bot,iProver_bot))),
inference(instantiation,[status(thm)],[c_308]) ).
cnf(c_671,plain,
product(left_solution(X0,not_identity(right_solution(X0,X1))),X0,not_identity(right_solution(X0,X1))),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_672,plain,
product(left_solution(iProver_bot,not_identity(right_solution(iProver_bot,iProver_bot))),iProver_bot,not_identity(right_solution(iProver_bot,iProver_bot))),
inference(instantiation,[status(thm)],[c_671]) ).
cnf(c_673,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_672,c_310,c_309,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP028-3 : TPTP v8.2.0. Released v1.1.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n020.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 : Thu Jun 20 06:57:09 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 2.20/1.17 % SZS status Started for theBenchmark.p
% 2.20/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 2.20/1.17
% 2.20/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.20/1.17
% 2.20/1.17 ------ iProver source info
% 2.20/1.17
% 2.20/1.17 git: date: 2024-06-12 09:56:46 +0000
% 2.20/1.17 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 2.20/1.17 git: non_committed_changes: false
% 2.20/1.17
% 2.20/1.17 ------ Parsing...successful
% 2.20/1.17
% 2.20/1.17
% 2.20/1.17
% 2.20/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 2.20/1.17
% 2.20/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.20/1.17 ------ Proving...
% 2.20/1.17 ------ Problem Properties
% 2.20/1.17
% 2.20/1.17
% 2.20/1.17 clauses 6
% 2.20/1.17 conjectures 1
% 2.20/1.17 EPR 2
% 2.20/1.17 Horn 6
% 2.20/1.17 unary 4
% 2.20/1.17 binary 0
% 2.20/1.17 lits 12
% 2.20/1.17 lits eq 0
% 2.20/1.17 fd_pure 0
% 2.20/1.17 fd_pseudo 0
% 2.20/1.17 fd_cond 0
% 2.20/1.17 fd_pseudo_cond 0
% 2.20/1.17 AC symbols 0
% 2.20/1.17
% 2.20/1.17 ------ Schedule dynamic 5 is on
% 2.20/1.17
% 2.20/1.17 ------ no equalities: superposition off
% 2.20/1.17
% 2.20/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.20/1.17
% 2.20/1.17
% 2.20/1.17 ------
% 2.20/1.17 Current options:
% 2.20/1.17 ------
% 2.20/1.17
% 2.20/1.17
% 2.20/1.17
% 2.20/1.17
% 2.20/1.17 ------ Proving...
% 2.20/1.17
% 2.20/1.17
% 2.20/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 2.20/1.17
% 2.20/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.20/1.17
% 2.20/1.17
%------------------------------------------------------------------------------