TSTP Solution File: GRP171-2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP171-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 02:21:34 EDT 2024
% Result : Unsatisfiable 3.89s 1.17s
% Output : CNFRefutation 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 5 RR)
% Number of literals : 13 ( 12 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
least_upper_bound(identity,a) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p04c_1) ).
cnf(c_50,plain,
least_upper_bound(identity,b) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p04c_2) ).
cnf(c_51,negated_conjecture,
greatest_lower_bound(identity,multiply(a,b)) != identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p04c) ).
cnf(c_55,plain,
least_upper_bound(least_upper_bound(X0,X1),X2) = least_upper_bound(X0,least_upper_bound(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',associativity_of_lub) ).
cnf(c_59,plain,
greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).
cnf(c_62,plain,
least_upper_bound(multiply(X0,X1),multiply(X2,X1)) = multiply(least_upper_bound(X0,X2),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_lub2) ).
cnf(c_64,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_223,plain,
least_upper_bound(identity,least_upper_bound(b,X0)) = least_upper_bound(b,X0),
inference(superposition,[status(thm)],[c_50,c_55]) ).
cnf(c_350,plain,
least_upper_bound(X0,multiply(X1,X0)) = multiply(least_upper_bound(identity,X1),X0),
inference(superposition,[status(thm)],[c_64,c_62]) ).
cnf(c_451,plain,
greatest_lower_bound(identity,least_upper_bound(b,X0)) = identity,
inference(superposition,[status(thm)],[c_223,c_59]) ).
cnf(c_2210,plain,
greatest_lower_bound(identity,multiply(least_upper_bound(identity,X0),b)) = identity,
inference(superposition,[status(thm)],[c_350,c_451]) ).
cnf(c_2381,plain,
greatest_lower_bound(identity,multiply(a,b)) = identity,
inference(superposition,[status(thm)],[c_49,c_2210]) ).
cnf(c_2416,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2381,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP171-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.04/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n012.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 : Thu May 2 23:35:10 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.48 Running UEQ theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.89/1.17 % SZS status Started for theBenchmark.p
% 3.89/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.89/1.17
% 3.89/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.89/1.17
% 3.89/1.17 ------ iProver source info
% 3.89/1.17
% 3.89/1.17 git: date: 2024-05-02 19:28:25 +0000
% 3.89/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.89/1.17 git: non_committed_changes: false
% 3.89/1.17
% 3.89/1.17 ------ Parsing...successful
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.89/1.17
% 3.89/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.89/1.17
% 3.89/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.89/1.17 ------ Proving...
% 3.89/1.17 ------ Problem Properties
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17 clauses 18
% 3.89/1.17 conjectures 1
% 3.89/1.17 EPR 0
% 3.89/1.17 Horn 18
% 3.89/1.17 unary 18
% 3.89/1.17 binary 0
% 3.89/1.17 lits 18
% 3.89/1.17 lits eq 18
% 3.89/1.17 fd_pure 0
% 3.89/1.17 fd_pseudo 0
% 3.89/1.17 fd_cond 0
% 3.89/1.17 fd_pseudo_cond 0
% 3.89/1.17 AC symbols 2
% 3.89/1.17
% 3.89/1.17 ------ Input Options Time Limit: Unbounded
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17 ------
% 3.89/1.17 Current options:
% 3.89/1.17 ------
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17 ------ Proving...
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.89/1.17
% 3.89/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.89/1.17
% 3.89/1.17
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