TSTP Solution File: LAT044-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT044-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 06:16:34 EDT 2023
% Result : Unsatisfiable 157.64s 21.21s
% Output : CNFRefutation 157.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of clauses : 56 ( 56 unt; 0 nHn; 4 RR)
% Number of literals : 56 ( 55 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 107 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
meet(complement(X0),complement(X1)) = complement(join(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility1) ).
cnf(c_50,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility2) ).
cnf(c_51,plain,
join(complement(X0),X0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invertability1) ).
cnf(c_53,plain,
complement(complement(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invertability3) ).
cnf(c_54,plain,
join(X0,meet(complement(X0),join(X0,X1))) = join(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',orthomodular_law) ).
cnf(c_55,negated_conjecture,
join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) != n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_weak_orthomodular_law) ).
cnf(c_58,plain,
meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(c_59,plain,
join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(c_60,plain,
meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
cnf(c_61,plain,
join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
cnf(c_62,plain,
meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).
cnf(c_63,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).
cnf(c_78,plain,
join(X0,complement(X0)) = n1,
inference(theory_normalisation,[status(thm)],[c_51,c_62,c_60,c_63,c_61]) ).
cnf(c_80,negated_conjecture,
join(complement(b),join(meet(a,b),meet(complement(a),join(a,b)))) != n1,
inference(theory_normalisation,[status(thm)],[c_55,c_62,c_60,c_63,c_61]) ).
cnf(c_203,plain,
join(X0,meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_60,c_59]) ).
cnf(c_210,plain,
meet(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_61,c_58]) ).
cnf(c_217,plain,
complement(join(complement(X0),X1)) = meet(X0,complement(X1)),
inference(superposition,[status(thm)],[c_53,c_49]) ).
cnf(c_218,plain,
complement(join(X0,complement(X1))) = meet(complement(X0),X1),
inference(superposition,[status(thm)],[c_53,c_49]) ).
cnf(c_222,plain,
meet(complement(X0),complement(X1)) = complement(join(X1,X0)),
inference(superposition,[status(thm)],[c_49,c_60]) ).
cnf(c_235,plain,
complement(meet(complement(X0),X1)) = join(X0,complement(X1)),
inference(superposition,[status(thm)],[c_53,c_50]) ).
cnf(c_236,plain,
complement(meet(X0,complement(X1))) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_53,c_50]) ).
cnf(c_305,plain,
meet(X0,meet(join(X0,X1),X2)) = meet(X0,X2),
inference(superposition,[status(thm)],[c_58,c_62]) ).
cnf(c_358,plain,
join(X0,meet(complement(X0),join(X1,X0))) = join(X1,X0),
inference(superposition,[status(thm)],[c_61,c_54]) ).
cnf(c_442,plain,
join(X0,join(meet(X1,X0),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_203,c_63]) ).
cnf(c_1157,plain,
complement(complement(meet(X0,X1))) = meet(X0,complement(complement(X1))),
inference(superposition,[status(thm)],[c_50,c_217]) ).
cnf(c_1161,plain,
complement(join(X0,complement(X1))) = meet(X1,complement(X0)),
inference(superposition,[status(thm)],[c_61,c_217]) ).
cnf(c_1238,plain,
complement(join(complement(X0),X1)) = meet(complement(X1),X0),
inference(superposition,[status(thm)],[c_61,c_218]) ).
cnf(c_1263,plain,
join(complement(X0),meet(complement(X1),X2)) = complement(meet(X0,join(X1,complement(X2)))),
inference(superposition,[status(thm)],[c_218,c_50]) ).
cnf(c_1312,plain,
complement(meet(X0,complement(X1))) = join(X1,complement(X0)),
inference(superposition,[status(thm)],[c_60,c_235]) ).
cnf(c_1414,plain,
join(meet(X0,complement(X1)),join(complement(X0),X1)) = n1,
inference(superposition,[status(thm)],[c_236,c_78]) ).
cnf(c_1422,plain,
join(complement(complement(X0)),X1) = join(X0,complement(complement(X1))),
inference(superposition,[status(thm)],[c_236,c_235]) ).
cnf(c_1438,plain,
join(X0,complement(complement(X1))) = join(X0,X1),
inference(light_normalisation,[status(thm)],[c_1422,c_53]) ).
cnf(c_1439,plain,
join(X0,join(complement(X1),meet(X1,complement(X0)))) = n1,
inference(theory_normalisation,[status(thm)],[c_1414,c_63,c_61,c_62,c_60]) ).
cnf(c_2015,plain,
complement(complement(meet(X0,X1))) = meet(X1,complement(complement(X0))),
inference(superposition,[status(thm)],[c_50,c_1161]) ).
cnf(c_2072,plain,
complement(complement(meet(X0,X1))) = meet(X1,X0),
inference(light_normalisation,[status(thm)],[c_2015,c_53,c_1157]) ).
cnf(c_2251,plain,
join(X0,complement(complement(X1))) = complement(complement(join(X1,X0))),
inference(superposition,[status(thm)],[c_49,c_1312]) ).
cnf(c_2313,plain,
complement(complement(join(X0,X1))) = join(X1,X0),
inference(light_normalisation,[status(thm)],[c_2251,c_1438]) ).
cnf(c_6977,plain,
join(complement(X0),join(complement(X1),meet(X1,X0))) = n1,
inference(superposition,[status(thm)],[c_53,c_1439]) ).
cnf(c_7646,plain,
join(meet(X0,X1),meet(complement(meet(X0,X1)),X0)) = X0,
inference(superposition,[status(thm)],[c_59,c_358]) ).
cnf(c_7738,plain,
join(meet(X0,X1),meet(X0,complement(meet(X0,X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_7646,c_63,c_61,c_62,c_60]) ).
cnf(c_15953,plain,
join(X0,meet(X1,complement(meet(X1,X0)))) = join(X0,X1),
inference(superposition,[status(thm)],[c_7738,c_442]) ).
cnf(c_328846,plain,
complement(join(complement(X0),meet(complement(X1),X2))) = meet(X0,join(X1,complement(X2))),
inference(superposition,[status(thm)],[c_1263,c_53]) ).
cnf(c_470593,plain,
meet(X0,join(complement(X0),complement(join(complement(X0),X1)))) = complement(join(complement(X0),X1)),
inference(superposition,[status(thm)],[c_54,c_328846]) ).
cnf(c_471372,plain,
meet(X0,join(complement(X0),meet(complement(X1),X0))) = meet(complement(X1),X0),
inference(light_normalisation,[status(thm)],[c_470593,c_1238]) ).
cnf(c_473076,plain,
meet(X0,join(complement(X0),meet(X1,X0))) = meet(X1,X0),
inference(superposition,[status(thm)],[c_53,c_471372]) ).
cnf(c_473577,plain,
meet(join(X0,X1),join(complement(join(X0,X1)),X1)) = X1,
inference(superposition,[status(thm)],[c_210,c_473076]) ).
cnf(c_474215,plain,
meet(join(X0,X1),join(X1,complement(join(X0,X1)))) = X1,
inference(theory_normalisation,[status(thm)],[c_473577,c_63,c_61,c_62,c_60]) ).
cnf(c_520235,plain,
meet(X0,join(X1,complement(join(X0,X1)))) = meet(X0,X1),
inference(superposition,[status(thm)],[c_474215,c_305]) ).
cnf(c_586977,plain,
meet(complement(X0),join(complement(X1),complement(complement(meet(X0,X1))))) = meet(complement(X0),complement(X1)),
inference(superposition,[status(thm)],[c_50,c_520235]) ).
cnf(c_587797,plain,
meet(complement(X0),join(complement(X1),meet(X1,X0))) = complement(join(X1,X0)),
inference(light_normalisation,[status(thm)],[c_586977,c_222,c_2072]) ).
cnf(c_588659,plain,
meet(complement(X0),join(complement(X1),meet(X0,X1))) = complement(join(X1,X0)),
inference(superposition,[status(thm)],[c_60,c_587797]) ).
cnf(c_591315,plain,
join(join(complement(X0),meet(X1,X0)),meet(complement(X1),complement(complement(join(X0,X1))))) = join(join(complement(X0),meet(X1,X0)),complement(X1)),
inference(superposition,[status(thm)],[c_588659,c_15953]) ).
cnf(c_592111,plain,
join(complement(X0),join(meet(X1,X0),meet(complement(X1),complement(complement(join(X0,X1)))))) = join(complement(X0),join(complement(X1),meet(X1,X0))),
inference(theory_normalisation,[status(thm)],[c_591315,c_63,c_61,c_62,c_60]) ).
cnf(c_592112,plain,
join(complement(X0),join(meet(X1,X0),meet(complement(X1),join(X1,X0)))) = n1,
inference(light_normalisation,[status(thm)],[c_592111,c_2313,c_6977]) ).
cnf(c_592457,plain,
n1 != n1,
inference(demodulation,[status(thm)],[c_80,c_592112]) ).
cnf(c_592458,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_592457]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT044-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n015.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 Aug 24 08:28:51 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running UEQ theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 157.64/21.21 % SZS status Started for theBenchmark.p
% 157.64/21.21 % SZS status Unsatisfiable for theBenchmark.p
% 157.64/21.21
% 157.64/21.21 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 157.64/21.21
% 157.64/21.21 ------ iProver source info
% 157.64/21.21
% 157.64/21.21 git: date: 2023-05-31 18:12:56 +0000
% 157.64/21.21 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 157.64/21.21 git: non_committed_changes: false
% 157.64/21.21 git: last_make_outside_of_git: false
% 157.64/21.21
% 157.64/21.21 ------ Parsing...successful
% 157.64/21.21
% 157.64/21.21
% 157.64/21.21
% 157.64/21.21 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 157.64/21.21
% 157.64/21.21 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 157.64/21.21
% 157.64/21.21 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 157.64/21.21 ------ Proving...
% 157.64/21.21 ------ Problem Properties
% 157.64/21.21
% 157.64/21.21
% 157.64/21.21 clauses 15
% 157.64/21.21 conjectures 1
% 157.64/21.21 EPR 0
% 157.64/21.21 Horn 15
% 157.64/21.21 unary 15
% 157.64/21.21 binary 0
% 157.64/21.21 lits 15
% 157.64/21.21 lits eq 15
% 157.64/21.21 fd_pure 0
% 157.64/21.21 fd_pseudo 0
% 157.64/21.21 fd_cond 0
% 157.64/21.21 fd_pseudo_cond 0
% 157.64/21.21 AC symbols 2
% 157.64/21.21
% 157.64/21.21 ------ Input Options Time Limit: Unbounded
% 157.64/21.21
% 157.64/21.21
% 157.64/21.21 ------
% 157.64/21.21 Current options:
% 157.64/21.21 ------
% 157.64/21.21
% 157.64/21.21
% 157.64/21.21
% 157.64/21.21
% 157.64/21.21 ------ Proving...
% 157.64/21.21
% 157.64/21.21
% 157.64/21.21 % SZS status Unsatisfiable for theBenchmark.p
% 157.64/21.21
% 157.64/21.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 157.64/21.21
% 157.64/21.22
%------------------------------------------------------------------------------