TSTP Solution File: GRP185-3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP185-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 00:58:34 EDT 2023
% Result : Unsatisfiable 4.42s 1.20s
% Output : CNFRefutation 4.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 6 RR)
% Number of literals : 17 ( 16 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 29 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
greatest_lower_bound(least_upper_bound(multiply(a,b),identity),multiply(least_upper_bound(a,identity),least_upper_bound(b,identity))) != least_upper_bound(multiply(a,b),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p22b) ).
cnf(c_50,plain,
greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_glb) ).
cnf(c_51,plain,
least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).
cnf(c_52,plain,
greatest_lower_bound(greatest_lower_bound(X0,X1),X2) = greatest_lower_bound(X0,greatest_lower_bound(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',associativity_of_glb) ).
cnf(c_53,plain,
least_upper_bound(least_upper_bound(X0,X1),X2) = least_upper_bound(X0,least_upper_bound(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',associativity_of_lub) ).
cnf(c_57,plain,
greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).
cnf(c_58,plain,
least_upper_bound(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,least_upper_bound(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_lub1) ).
cnf(c_60,plain,
least_upper_bound(multiply(X0,X1),multiply(X2,X1)) = multiply(least_upper_bound(X0,X2),X1),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_lub2) ).
cnf(c_62,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_80,negated_conjecture,
greatest_lower_bound(least_upper_bound(identity,multiply(a,b)),multiply(least_upper_bound(a,identity),least_upper_bound(b,identity))) != least_upper_bound(identity,multiply(a,b)),
inference(theory_normalisation,[status(thm)],[c_49,c_52,c_50,c_53,c_51]) ).
cnf(c_113,plain,
greatest_lower_bound(least_upper_bound(identity,multiply(a,b)),least_upper_bound(least_upper_bound(multiply(a,b),multiply(a,identity)),least_upper_bound(b,identity))) != least_upper_bound(identity,multiply(a,b)),
inference(demodulation,[status(thm)],[c_80,c_58,c_60,c_62]) ).
cnf(c_186,plain,
least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(X1,least_upper_bound(X0,X2)),
inference(superposition,[status(thm)],[c_53,c_51]) ).
cnf(c_576,plain,
greatest_lower_bound(X0,least_upper_bound(X1,least_upper_bound(X0,X2))) = X0,
inference(superposition,[status(thm)],[c_186,c_57]) ).
cnf(c_671,plain,
greatest_lower_bound(least_upper_bound(identity,multiply(a,b)),least_upper_bound(b,least_upper_bound(identity,least_upper_bound(multiply(a,b),multiply(a,identity))))) != least_upper_bound(identity,multiply(a,b)),
inference(theory_normalisation,[status(thm)],[c_113,c_53,c_51,c_52,c_50]) ).
cnf(c_1444,plain,
greatest_lower_bound(least_upper_bound(X0,X1),least_upper_bound(X2,least_upper_bound(X0,least_upper_bound(X1,X3)))) = least_upper_bound(X0,X1),
inference(superposition,[status(thm)],[c_53,c_576]) ).
cnf(c_2662,plain,
least_upper_bound(identity,multiply(a,b)) != least_upper_bound(identity,multiply(a,b)),
inference(demodulation,[status(thm)],[c_671,c_1444]) ).
cnf(c_2663,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_2662]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP185-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.10/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n005.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 : Mon Aug 28 19:59:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running UEQ theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.42/1.20 % SZS status Started for theBenchmark.p
% 4.42/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 4.42/1.20
% 4.42/1.20 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.42/1.20
% 4.42/1.20 ------ iProver source info
% 4.42/1.20
% 4.42/1.20 git: date: 2023-05-31 18:12:56 +0000
% 4.42/1.20 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.42/1.20 git: non_committed_changes: false
% 4.42/1.20 git: last_make_outside_of_git: false
% 4.42/1.20
% 4.42/1.20 ------ Parsing...successful
% 4.42/1.20
% 4.42/1.20
% 4.42/1.20
% 4.42/1.20 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 4.42/1.20
% 4.42/1.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.42/1.20
% 4.42/1.20 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.42/1.20 ------ Proving...
% 4.42/1.20 ------ Problem Properties
% 4.42/1.20
% 4.42/1.20
% 4.42/1.20 clauses 16
% 4.42/1.20 conjectures 0
% 4.42/1.20 EPR 0
% 4.42/1.20 Horn 16
% 4.42/1.20 unary 16
% 4.42/1.20 binary 0
% 4.42/1.20 lits 16
% 4.42/1.20 lits eq 16
% 4.42/1.20 fd_pure 0
% 4.42/1.20 fd_pseudo 0
% 4.42/1.20 fd_cond 0
% 4.42/1.20 fd_pseudo_cond 0
% 4.42/1.20 AC symbols 2
% 4.42/1.20
% 4.42/1.20 ------ Input Options Time Limit: Unbounded
% 4.42/1.20
% 4.42/1.20
% 4.42/1.20 ------
% 4.42/1.20 Current options:
% 4.42/1.20 ------
% 4.42/1.20
% 4.42/1.20
% 4.42/1.20
% 4.42/1.20
% 4.42/1.20 ------ Proving...
% 4.42/1.20
% 4.42/1.20
% 4.42/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 4.42/1.20
% 4.42/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.42/1.20
% 4.42/1.20
%------------------------------------------------------------------------------