TSTP Solution File: LAT005-5 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT005-5 : TPTP v8.1.2. 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 : Thu Aug 31 06:16:24 EDT 2023
% Result : Unsatisfiable 77.22s 11.14s
% Output : CNFRefutation 77.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 20
% Syntax : Number of clauses : 94 ( 75 unt; 0 nHn; 67 RR)
% Number of literals : 133 ( 101 equ; 41 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 99 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
meet(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_a_and_b) ).
cnf(c_51,negated_conjecture,
meet(c,r2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_c_and_r2) ).
cnf(c_52,negated_conjecture,
meet(r2,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_r2_and_b) ).
cnf(c_53,negated_conjecture,
join(a,b,c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_a_and_b) ).
cnf(c_55,negated_conjecture,
meet(c2,r1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_c2_and_r1) ).
cnf(c_56,negated_conjecture,
meet(r2,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_r2_and_a) ).
cnf(c_57,negated_conjecture,
join(r1,e,a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_r1_and_e) ).
cnf(c_58,negated_conjecture,
join(r1,d,b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_r1_and_d) ).
cnf(c_59,negated_conjecture,
~ meet(a2,b2,r1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_a2_and_b2) ).
cnf(c_62,plain,
join(n0,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',join_0_and_x) ).
cnf(c_63,plain,
meet(n0,X0,n0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',meet_0_and_x) ).
cnf(c_64,plain,
meet(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',meet_x_and_x) ).
cnf(c_66,plain,
( ~ meet(X0,X1,X2)
| meet(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',commutativity_of_meet) ).
cnf(c_67,plain,
( ~ join(X0,X1,X2)
| join(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',commutativity_of_join) ).
cnf(c_69,plain,
( ~ join(X0,X1,X2)
| meet(X0,X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',absorbtion2) ).
cnf(c_71,plain,
( ~ meet(X0,X1,X2)
| ~ meet(X1,X3,X4)
| ~ meet(X2,X3,X5)
| meet(X0,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',associativity_of_meet2) ).
cnf(c_73,plain,
( ~ join(X0,X1,X2)
| ~ join(X1,X3,X4)
| ~ join(X2,X3,X5)
| join(X0,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',associativity_of_join2) ).
cnf(c_75,plain,
( ~ meet(X0,X1,X0)
| ~ meet(X2,X1,X3)
| ~ join(X0,X2,X4)
| ~ join(X0,X3,X5)
| meet(X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',modularity2) ).
cnf(c_88,plain,
meet_of(a,b) = c,
inference(well_definedness,[status(thm)],[c_49]) ).
cnf(c_90,plain,
meet_of(c,r2) = n0,
inference(well_definedness,[status(thm)],[c_51]) ).
cnf(c_91,plain,
meet_of(r2,b) = e,
inference(well_definedness,[status(thm)],[c_52]) ).
cnf(c_92,plain,
join_of(a,b) = c2,
inference(well_definedness,[status(thm)],[c_53]) ).
cnf(c_94,plain,
meet_of(c2,r1) = n0,
inference(well_definedness,[status(thm)],[c_55]) ).
cnf(c_95,plain,
meet_of(r2,a) = d,
inference(well_definedness,[status(thm)],[c_56]) ).
cnf(c_96,plain,
join_of(r1,e) = a2,
inference(well_definedness,[status(thm)],[c_57]) ).
cnf(c_97,plain,
join_of(r1,d) = b2,
inference(well_definedness,[status(thm)],[c_58]) ).
cnf(c_98,plain,
meet_of(a2,b2) != r1,
inference(well_definedness,[status(thm)],[c_59]) ).
cnf(c_101,plain,
join_of(n0,X0) = X0,
inference(well_definedness,[status(thm)],[c_62]) ).
cnf(c_102,plain,
meet_of(n0,X0) = n0,
inference(well_definedness,[status(thm)],[c_63]) ).
cnf(c_103,plain,
meet_of(X0,X0) = X0,
inference(well_definedness,[status(thm)],[c_64]) ).
cnf(c_105,plain,
( meet_of(X0,X1) != X2
| meet_of(X1,X0) = X2 ),
inference(well_definedness,[status(thm)],[c_66]) ).
cnf(c_107,plain,
( join_of(X0,X1) != X2
| join_of(X1,X0) = X2 ),
inference(well_definedness,[status(thm)],[c_67]) ).
cnf(c_111,plain,
( join_of(X0,X1) != X2
| meet_of(X0,X2) = X0 ),
inference(well_definedness,[status(thm)],[c_69]) ).
cnf(c_115,plain,
( meet_of(X0,X1) != X2
| meet_of(X1,X3) != X4
| meet_of(X2,X3) != X5
| meet_of(X0,X4) = X5 ),
inference(well_definedness,[status(thm)],[c_71]) ).
cnf(c_119,plain,
( join_of(X0,X1) != X2
| join_of(X1,X3) != X4
| join_of(X2,X3) != X5
| join_of(X0,X4) = X5 ),
inference(well_definedness,[status(thm)],[c_73]) ).
cnf(c_123,plain,
( meet_of(X0,X1) != X0
| meet_of(X2,X1) != X3
| join_of(X0,X2) != X4
| join_of(X0,X3) != X5
| meet_of(X1,X4) = X5 ),
inference(well_definedness,[status(thm)],[c_75]) ).
cnf(c_259,plain,
meet_of(X0,join_of(X0,X1)) = X0,
inference(unflattening,[status(thm)],[c_111]) ).
cnf(c_261,plain,
join_of(X0,X1) = join_of(X1,X0),
inference(unflattening,[status(thm)],[c_107]) ).
cnf(c_264,plain,
meet_of(X0,X1) = meet_of(X1,X0),
inference(unflattening,[status(thm)],[c_105]) ).
cnf(c_265,plain,
meet_of(r2,c) = n0,
inference(demodulation,[status(thm)],[c_90,c_264]) ).
cnf(c_266,plain,
meet_of(r1,c2) = n0,
inference(demodulation,[status(thm)],[c_94,c_264]) ).
cnf(c_269,plain,
join_of(join_of(X0,X1),X2) = join_of(X0,join_of(X1,X2)),
inference(unflattening,[status(thm)],[c_119]) ).
cnf(c_271,plain,
meet_of(meet_of(X0,X1),X2) = meet_of(X0,meet_of(X1,X2)),
inference(unflattening,[status(thm)],[c_115]) ).
cnf(c_273,plain,
( meet_of(X0,X1) != X0
| meet_of(X1,join_of(X0,X2)) = join_of(X0,meet_of(X2,X1)) ),
inference(unflattening,[status(thm)],[c_123]) ).
cnf(c_342,plain,
X0 = X0,
theory(equality) ).
cnf(c_343,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_523,plain,
( meet_of(a2,b2) != X0
| r1 != X0
| meet_of(a2,b2) = r1 ),
inference(instantiation,[status(thm)],[c_343]) ).
cnf(c_526,plain,
( X0 != X1
| r1 != X1
| r1 = X0 ),
inference(instantiation,[status(thm)],[c_343]) ).
cnf(c_557,plain,
( X0 != r1
| r1 != r1
| r1 = X0 ),
inference(instantiation,[status(thm)],[c_526]) ).
cnf(c_558,plain,
r1 = r1,
inference(instantiation,[status(thm)],[c_342]) ).
cnf(c_565,plain,
( join_of(n0,r1) != r1
| r1 != r1
| r1 = join_of(n0,r1) ),
inference(instantiation,[status(thm)],[c_557]) ).
cnf(c_566,plain,
join_of(n0,r1) = r1,
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_672,plain,
( meet_of(a2,b2) != join_of(n0,r1)
| r1 != join_of(n0,r1)
| meet_of(a2,b2) = r1 ),
inference(instantiation,[status(thm)],[c_523]) ).
cnf(c_376001,plain,
meet_of(a,c2) = a,
inference(superposition,[status(thm)],[c_92,c_259]) ).
cnf(c_376002,plain,
meet_of(r1,a2) = r1,
inference(superposition,[status(thm)],[c_96,c_259]) ).
cnf(c_376107,plain,
meet_of(X0,join_of(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_261,c_259]) ).
cnf(c_376208,plain,
meet_of(a,meet_of(b,X0)) = meet_of(c,X0),
inference(superposition,[status(thm)],[c_88,c_271]) ).
cnf(c_376209,plain,
meet_of(r2,meet_of(b,X0)) = meet_of(e,X0),
inference(superposition,[status(thm)],[c_91,c_271]) ).
cnf(c_376210,plain,
meet_of(r2,meet_of(a,X0)) = meet_of(d,X0),
inference(superposition,[status(thm)],[c_95,c_271]) ).
cnf(c_376219,plain,
meet_of(a,meet_of(c2,X0)) = meet_of(a,X0),
inference(superposition,[status(thm)],[c_376001,c_271]) ).
cnf(c_376590,plain,
meet_of(a2,join_of(r1,X0)) = join_of(r1,meet_of(X0,a2)),
inference(superposition,[status(thm)],[c_376002,c_273]) ).
cnf(c_376868,plain,
meet_of(a,b) = meet_of(c,b),
inference(superposition,[status(thm)],[c_103,c_376208]) ).
cnf(c_376882,plain,
meet_of(a,b) = meet_of(b,c),
inference(theory_normalisation,[status(thm)],[c_376868,c_271,c_264,c_269,c_261]) ).
cnf(c_376883,plain,
meet_of(b,c) = c,
inference(light_normalisation,[status(thm)],[c_376882,c_88]) ).
cnf(c_377082,plain,
meet_of(r2,b) = meet_of(e,b),
inference(superposition,[status(thm)],[c_103,c_376209]) ).
cnf(c_377087,plain,
meet_of(e,join_of(X0,b)) = meet_of(r2,b),
inference(superposition,[status(thm)],[c_376107,c_376209]) ).
cnf(c_377089,plain,
meet_of(r2,c) = meet_of(e,c),
inference(superposition,[status(thm)],[c_376883,c_376209]) ).
cnf(c_377093,plain,
meet_of(c,e) = meet_of(r2,c),
inference(theory_normalisation,[status(thm)],[c_377089,c_271,c_264,c_269,c_261]) ).
cnf(c_377094,plain,
meet_of(c,e) = n0,
inference(light_normalisation,[status(thm)],[c_377093,c_265]) ).
cnf(c_377100,plain,
meet_of(b,e) = meet_of(r2,b),
inference(theory_normalisation,[status(thm)],[c_377082,c_271,c_264,c_269,c_261]) ).
cnf(c_377101,plain,
meet_of(b,e) = e,
inference(light_normalisation,[status(thm)],[c_377100,c_91]) ).
cnf(c_377102,plain,
meet_of(e,join_of(X0,b)) = e,
inference(light_normalisation,[status(thm)],[c_377087,c_91]) ).
cnf(c_377205,plain,
meet_of(a,e) = meet_of(c,e),
inference(superposition,[status(thm)],[c_377101,c_376208]) ).
cnf(c_377207,plain,
meet_of(a,e) = n0,
inference(light_normalisation,[status(thm)],[c_377205,c_377094]) ).
cnf(c_377340,plain,
meet_of(join_of(X0,b),join_of(e,X1)) = join_of(e,meet_of(X1,join_of(X0,b))),
inference(superposition,[status(thm)],[c_377102,c_273]) ).
cnf(c_377415,plain,
meet_of(r2,a) = meet_of(d,a),
inference(superposition,[status(thm)],[c_103,c_376210]) ).
cnf(c_377434,plain,
meet_of(a,d) = meet_of(r2,a),
inference(theory_normalisation,[status(thm)],[c_377415,c_271,c_264,c_269,c_261]) ).
cnf(c_377435,plain,
meet_of(a,d) = d,
inference(light_normalisation,[status(thm)],[c_377434,c_95]) ).
cnf(c_377544,plain,
meet_of(a,meet_of(d,X0)) = meet_of(d,X0),
inference(superposition,[status(thm)],[c_377435,c_271]) ).
cnf(c_386836,plain,
meet_of(c2,join_of(e,X0)) = join_of(e,meet_of(X0,c2)),
inference(superposition,[status(thm)],[c_92,c_377340]) ).
cnf(c_387339,plain,
meet_of(c2,join_of(e,r1)) = join_of(e,n0),
inference(superposition,[status(thm)],[c_266,c_386836]) ).
cnf(c_387356,plain,
meet_of(c2,join_of(r1,e)) = join_of(n0,e),
inference(theory_normalisation,[status(thm)],[c_387339,c_271,c_264,c_269,c_261]) ).
cnf(c_387357,plain,
meet_of(c2,a2) = join_of(n0,e),
inference(light_normalisation,[status(thm)],[c_387356,c_96]) ).
cnf(c_387396,plain,
meet_of(c2,a2) = e,
inference(demodulation,[status(thm)],[c_387357,c_101]) ).
cnf(c_387404,plain,
meet_of(a,e) = meet_of(a,a2),
inference(superposition,[status(thm)],[c_387396,c_376219]) ).
cnf(c_387407,plain,
meet_of(a,a2) = n0,
inference(light_normalisation,[status(thm)],[c_387404,c_377207]) ).
cnf(c_387982,plain,
meet_of(a,meet_of(a2,X0)) = meet_of(n0,X0),
inference(superposition,[status(thm)],[c_387407,c_271]) ).
cnf(c_387994,plain,
meet_of(a,meet_of(a2,X0)) = n0,
inference(light_normalisation,[status(thm)],[c_387982,c_102]) ).
cnf(c_391477,plain,
meet_of(a,meet_of(X0,a2)) = n0,
inference(superposition,[status(thm)],[c_264,c_387994]) ).
cnf(c_392196,plain,
meet_of(d,a2) = n0,
inference(superposition,[status(thm)],[c_391477,c_377544]) ).
cnf(c_392774,plain,
meet_of(a2,join_of(r1,d)) = join_of(r1,n0),
inference(superposition,[status(thm)],[c_392196,c_376590]) ).
cnf(c_392808,plain,
meet_of(a2,join_of(r1,d)) = join_of(n0,r1),
inference(theory_normalisation,[status(thm)],[c_392774,c_271,c_264,c_269,c_261]) ).
cnf(c_392809,plain,
meet_of(a2,b2) = join_of(n0,r1),
inference(light_normalisation,[status(thm)],[c_392808,c_97]) ).
cnf(c_392814,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_392809,c_672,c_566,c_565,c_558,c_98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT005-5 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Aug 24 06:18:45 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.42 Running first-order theorem proving
% 0.17/0.42 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 77.22/11.14 % SZS status Started for theBenchmark.p
% 77.22/11.14 % SZS status Unsatisfiable for theBenchmark.p
% 77.22/11.14
% 77.22/11.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 77.22/11.14
% 77.22/11.14 ------ iProver source info
% 77.22/11.14
% 77.22/11.14 git: date: 2023-05-31 18:12:56 +0000
% 77.22/11.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 77.22/11.14 git: non_committed_changes: false
% 77.22/11.14 git: last_make_outside_of_git: false
% 77.22/11.14
% 77.22/11.14 ------ Parsing...successful
% 77.22/11.14
% 77.22/11.14
% 77.22/11.14
% 77.22/11.14 ------ Preprocessing... sup_sim: 18 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 77.22/11.14
% 77.22/11.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 77.22/11.14
% 77.22/11.14 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 77.22/11.14 ------ Proving...
% 77.22/11.14 ------ Problem Properties
% 77.22/11.14
% 77.22/11.14
% 77.22/11.14 clauses 24
% 77.22/11.14 conjectures 0
% 77.22/11.14 EPR 0
% 77.22/11.14 Horn 24
% 77.22/11.14 unary 23
% 77.22/11.14 binary 1
% 77.22/11.14 lits 25
% 77.22/11.14 lits eq 25
% 77.22/11.14 fd_pure 0
% 77.22/11.14 fd_pseudo 0
% 77.22/11.14 fd_cond 0
% 77.22/11.14 fd_pseudo_cond 0
% 77.22/11.14 AC symbols 2
% 77.22/11.14
% 77.22/11.14 ------ Schedule dynamic 5 is on
% 77.22/11.14
% 77.22/11.14 ------ no conjectures: strip conj schedule
% 77.22/11.14
% 77.22/11.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 77.22/11.14
% 77.22/11.14
% 77.22/11.14 ------
% 77.22/11.14 Current options:
% 77.22/11.14 ------
% 77.22/11.14
% 77.22/11.14
% 77.22/11.14
% 77.22/11.14
% 77.22/11.14 ------ Proving...
% 77.22/11.14 Proof_search_loop: time out after: 13602 full_loop iterations
% 77.22/11.14
% 77.22/11.14 ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" stripped conjectures Time Limit: 15.
% 77.22/11.14
% 77.22/11.14
% 77.22/11.14 ------
% 77.22/11.14 Current options:
% 77.22/11.14 ------
% 77.22/11.14
% 77.22/11.14
% 77.22/11.14
% 77.22/11.14
% 77.22/11.14 ------ Proving...
% 77.22/11.14
% 77.22/11.14
% 77.22/11.14 % SZS status Unsatisfiable for theBenchmark.p
% 77.22/11.14
% 77.22/11.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 77.22/11.14
% 77.22/11.15
%------------------------------------------------------------------------------