TSTP Solution File: LAT005-4 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT005-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 06:16:23 EDT 2023
% Result : Unsatisfiable 140.97s 19.80s
% Output : CNFRefutation 140.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of clauses : 81 ( 72 unt; 0 nHn; 31 RR)
% Number of literals : 98 ( 97 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 91 ( 24 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
meet(r2,meet(a,b)) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r2_complement_meet_a_b_2) ).
cnf(c_52,negated_conjecture,
meet(r1,join(a,b)) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r1_complement_join_a_b_2) ).
cnf(c_53,negated_conjecture,
join(r1,meet(a,r2)) = b2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',define_b2) ).
cnf(c_54,negated_conjecture,
join(r1,meet(b,r2)) = a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',define_a2) ).
cnf(c_55,negated_conjecture,
meet(a2,b2) != r1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_SAMs_lemma) ).
cnf(c_56,plain,
meet(X0,n0) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-1.ax',x_meet_0) ).
cnf(c_57,plain,
join(X0,n0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-1.ax',x_join_0) ).
cnf(c_60,plain,
( meet(X0,X1) != X0
| meet(X1,join(X0,X2)) = join(X0,meet(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-1.ax',modular) ).
cnf(c_63,plain,
meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(c_64,plain,
join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(c_65,plain,
meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
cnf(c_66,plain,
join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
cnf(c_67,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_68,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_82,negated_conjecture,
meet(a,meet(b,r2)) = n0,
inference(theory_normalisation,[status(thm)],[c_50,c_68,c_66,c_67,c_65]) ).
cnf(c_84,negated_conjecture,
meet(b2,a2) != r1,
inference(theory_normalisation,[status(thm)],[c_55,c_68,c_66,c_67,c_65]) ).
cnf(c_133,plain,
X0 = X0,
theory(equality) ).
cnf(c_134,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_280,plain,
( meet(b2,a2) != X0
| r1 != X0
| meet(b2,a2) = r1 ),
inference(instantiation,[status(thm)],[c_134]) ).
cnf(c_304,plain,
( X0 != X1
| r1 != X1
| r1 = X0 ),
inference(instantiation,[status(thm)],[c_134]) ).
cnf(c_305,plain,
( X0 != r1
| r1 != r1
| r1 = X0 ),
inference(instantiation,[status(thm)],[c_304]) ).
cnf(c_306,plain,
r1 = r1,
inference(instantiation,[status(thm)],[c_133]) ).
cnf(c_346,plain,
( join(r1,meet(r1,X0)) != r1
| r1 != r1
| r1 = join(r1,meet(r1,X0)) ),
inference(instantiation,[status(thm)],[c_305]) ).
cnf(c_347,plain,
join(r1,meet(r1,X0)) = r1,
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_506,plain,
( meet(b2,a2) != join(r1,meet(r1,X0))
| r1 != join(r1,meet(r1,X0))
| meet(b2,a2) = r1 ),
inference(instantiation,[status(thm)],[c_280]) ).
cnf(c_808,plain,
( join(r1,meet(r1,X0)) != X1
| meet(b2,a2) != X1
| meet(b2,a2) = join(r1,meet(r1,X0)) ),
inference(instantiation,[status(thm)],[c_134]) ).
cnf(c_3701,plain,
meet(b2,a2) = meet(b2,a2),
inference(instantiation,[status(thm)],[c_133]) ).
cnf(c_10294,plain,
( join(r1,meet(r1,X0)) != meet(b2,a2)
| meet(b2,a2) != meet(b2,a2)
| meet(b2,a2) = join(r1,meet(r1,X0)) ),
inference(instantiation,[status(thm)],[c_808]) ).
cnf(c_326580,plain,
meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(superposition,[status(thm)],[c_67,c_65]) ).
cnf(c_326695,plain,
meet(r1,b2) = r1,
inference(superposition,[status(thm)],[c_53,c_63]) ).
cnf(c_326696,plain,
meet(r1,a2) = r1,
inference(superposition,[status(thm)],[c_54,c_63]) ).
cnf(c_326945,plain,
meet(n0,X0) = n0,
inference(superposition,[status(thm)],[c_65,c_56]) ).
cnf(c_326947,plain,
join(X0,meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_65,c_64]) ).
cnf(c_326985,plain,
meet(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_66,c_63]) ).
cnf(c_327026,plain,
meet(r1,meet(join(a,b),X0)) = meet(n0,X0),
inference(superposition,[status(thm)],[c_52,c_67]) ).
cnf(c_327031,plain,
meet(a,meet(meet(b,r2),X0)) = meet(n0,X0),
inference(superposition,[status(thm)],[c_82,c_67]) ).
cnf(c_327034,plain,
meet(r1,meet(b2,X0)) = meet(r1,X0),
inference(superposition,[status(thm)],[c_326695,c_67]) ).
cnf(c_327035,plain,
meet(r1,meet(a2,X0)) = meet(r1,X0),
inference(superposition,[status(thm)],[c_326696,c_67]) ).
cnf(c_327042,plain,
meet(a,meet(b,meet(r2,X0))) = meet(n0,X0),
inference(theory_normalisation,[status(thm)],[c_327031,c_67,c_65,c_68,c_66]) ).
cnf(c_327043,plain,
meet(a,meet(b,meet(r2,X0))) = n0,
inference(light_normalisation,[status(thm)],[c_327042,c_326945]) ).
cnf(c_327044,plain,
meet(r1,meet(join(a,b),X0)) = n0,
inference(light_normalisation,[status(thm)],[c_327026,c_326945]) ).
cnf(c_327516,plain,
meet(a,meet(b,meet(X0,r2))) = n0,
inference(superposition,[status(thm)],[c_65,c_327043]) ).
cnf(c_327525,plain,
join(r1,join(meet(a,r2),X0)) = join(b2,X0),
inference(superposition,[status(thm)],[c_53,c_68]) ).
cnf(c_327530,plain,
join(X0,join(meet(X0,X1),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_64,c_68]) ).
cnf(c_327598,plain,
meet(join(X0,X1),join(X0,X2)) = join(X0,meet(X2,join(X0,X1))),
inference(superposition,[status(thm)],[c_63,c_60]) ).
cnf(c_327606,plain,
meet(b2,join(r1,X0)) = join(r1,meet(X0,b2)),
inference(superposition,[status(thm)],[c_326695,c_60]) ).
cnf(c_327788,plain,
join(X0,meet(X1,meet(X2,X0))) = X0,
inference(superposition,[status(thm)],[c_67,c_326947]) ).
cnf(c_327913,plain,
join(r1,join(X0,meet(a,r2))) = join(b2,X0),
inference(superposition,[status(thm)],[c_66,c_327525]) ).
cnf(c_328576,plain,
meet(X0,meet(join(X1,X0),X2)) = meet(X0,X2),
inference(superposition,[status(thm)],[c_326985,c_67]) ).
cnf(c_328872,plain,
join(meet(b2,join(r1,X0)),X1) = join(r1,join(meet(X0,b2),X1)),
inference(superposition,[status(thm)],[c_327606,c_68]) ).
cnf(c_329175,plain,
join(r1,a) = join(b2,a),
inference(superposition,[status(thm)],[c_64,c_327913]) ).
cnf(c_329189,plain,
join(a,r1) = join(a,b2),
inference(theory_normalisation,[status(thm)],[c_329175,c_67,c_65,c_68,c_66]) ).
cnf(c_329740,plain,
meet(r1,meet(X0,meet(join(a,b),X1))) = n0,
inference(superposition,[status(thm)],[c_326580,c_327044]) ).
cnf(c_329841,plain,
meet(b2,join(a,r1)) = b2,
inference(superposition,[status(thm)],[c_329189,c_326985]) ).
cnf(c_332527,plain,
meet(a,meet(X0,meet(b,meet(X1,r2)))) = meet(X0,n0),
inference(superposition,[status(thm)],[c_327516,c_326580]) ).
cnf(c_332533,plain,
meet(a,meet(X0,meet(b,meet(X1,r2)))) = n0,
inference(light_normalisation,[status(thm)],[c_332527,c_56]) ).
cnf(c_332677,plain,
meet(b2,meet(join(a,r1),X0)) = meet(b2,X0),
inference(superposition,[status(thm)],[c_329841,c_67]) ).
cnf(c_335337,plain,
join(meet(b2,X0),meet(X1,meet(r1,X0))) = meet(b2,X0),
inference(superposition,[status(thm)],[c_327034,c_327788]) ).
cnf(c_346236,plain,
join(r1,join(n0,X0)) = join(r1,X0),
inference(superposition,[status(thm)],[c_329740,c_327530]) ).
cnf(c_346342,plain,
join(n0,join(X0,r1)) = join(r1,X0),
inference(theory_normalisation,[status(thm)],[c_346236,c_67,c_65,c_68,c_66]) ).
cnf(c_354659,plain,
meet(b2,meet(X0,join(a,r1))) = meet(b2,X0),
inference(superposition,[status(thm)],[c_65,c_332677]) ).
cnf(c_359767,plain,
meet(join(a,b),join(a,r1)) = join(a,n0),
inference(superposition,[status(thm)],[c_52,c_327598]) ).
cnf(c_363102,plain,
meet(join(a,b),join(a,r1)) = a,
inference(demodulation,[status(thm)],[c_359767,c_57]) ).
cnf(c_363120,plain,
meet(b,join(a,r1)) = meet(b,a),
inference(superposition,[status(thm)],[c_363102,c_328576]) ).
cnf(c_363127,plain,
meet(b,join(a,r1)) = meet(a,b),
inference(theory_normalisation,[status(thm)],[c_363120,c_67,c_65,c_68,c_66]) ).
cnf(c_394122,plain,
meet(b2,meet(a,b)) = meet(b2,b),
inference(superposition,[status(thm)],[c_363127,c_354659]) ).
cnf(c_394185,plain,
meet(a,meet(b,b2)) = meet(b,b2),
inference(theory_normalisation,[status(thm)],[c_394122,c_67,c_65,c_68,c_66]) ).
cnf(c_400338,plain,
join(meet(b2,X0),meet(meet(r1,X0),X1)) = meet(b2,X0),
inference(superposition,[status(thm)],[c_65,c_335337]) ).
cnf(c_400536,plain,
join(meet(b2,X0),meet(r1,meet(X0,X1))) = meet(b2,X0),
inference(theory_normalisation,[status(thm)],[c_400338,c_67,c_65,c_68,c_66]) ).
cnf(c_405557,plain,
meet(a,meet(meet(b,b2),X0)) = meet(meet(b,b2),X0),
inference(superposition,[status(thm)],[c_394185,c_67]) ).
cnf(c_405578,plain,
meet(a,meet(b,meet(b2,X0))) = meet(b,meet(b2,X0)),
inference(theory_normalisation,[status(thm)],[c_405557,c_67,c_65,c_68,c_66]) ).
cnf(c_426367,plain,
join(r1,join(meet(meet(b,r2),b2),X0)) = join(meet(b2,a2),X0),
inference(superposition,[status(thm)],[c_54,c_328872]) ).
cnf(c_426806,plain,
join(r1,join(meet(b,meet(r2,b2)),X0)) = join(meet(b2,a2),X0),
inference(theory_normalisation,[status(thm)],[c_426367,c_67,c_65,c_68,c_66]) ).
cnf(c_649583,plain,
join(meet(b2,a2),meet(r1,X0)) = meet(b2,a2),
inference(superposition,[status(thm)],[c_327035,c_400536]) ).
cnf(c_653595,plain,
meet(b,meet(b2,r2)) = n0,
inference(superposition,[status(thm)],[c_405578,c_332533]) ).
cnf(c_653653,plain,
meet(b,meet(r2,b2)) = n0,
inference(theory_normalisation,[status(thm)],[c_653595,c_67,c_65,c_68,c_66]) ).
cnf(c_653754,plain,
join(meet(b2,a2),X0) = join(r1,join(n0,X0)),
inference(demodulation,[status(thm)],[c_426806,c_653653]) ).
cnf(c_653755,plain,
join(meet(b2,a2),X0) = join(n0,join(X0,r1)),
inference(theory_normalisation,[status(thm)],[c_653754,c_67,c_65,c_68,c_66]) ).
cnf(c_653756,plain,
join(meet(b2,a2),X0) = join(r1,X0),
inference(light_normalisation,[status(thm)],[c_653755,c_346342]) ).
cnf(c_653769,plain,
join(r1,meet(r1,X0)) = meet(b2,a2),
inference(demodulation,[status(thm)],[c_649583,c_653756]) ).
cnf(c_653773,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_653769,c_10294,c_3701,c_506,c_347,c_346,c_306,c_84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT005-4 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n022.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 06:51:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 140.97/19.80 % SZS status Started for theBenchmark.p
% 140.97/19.80 % SZS status Unsatisfiable for theBenchmark.p
% 140.97/19.80
% 140.97/19.80 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 140.97/19.80
% 140.97/19.80 ------ iProver source info
% 140.97/19.80
% 140.97/19.80 git: date: 2023-05-31 18:12:56 +0000
% 140.97/19.80 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 140.97/19.80 git: non_committed_changes: false
% 140.97/19.80 git: last_make_outside_of_git: false
% 140.97/19.80
% 140.97/19.80 ------ Parsing...successful
% 140.97/19.80
% 140.97/19.80
% 140.97/19.80
% 140.97/19.80 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 140.97/19.80
% 140.97/19.80 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 140.97/19.80
% 140.97/19.80 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 140.97/19.80 ------ Proving...
% 140.97/19.80 ------ Problem Properties
% 140.97/19.80
% 140.97/19.80
% 140.97/19.80 clauses 20
% 140.97/19.80 conjectures 7
% 140.97/19.80 EPR 0
% 140.97/19.80 Horn 20
% 140.97/19.80 unary 19
% 140.97/19.80 binary 1
% 140.97/19.80 lits 21
% 140.97/19.80 lits eq 21
% 140.97/19.80 fd_pure 0
% 140.97/19.80 fd_pseudo 0
% 140.97/19.80 fd_cond 0
% 140.97/19.80 fd_pseudo_cond 0
% 140.97/19.80 AC symbols 2
% 140.97/19.80
% 140.97/19.80 ------ Schedule dynamic 5 is on
% 140.97/19.80
% 140.97/19.80 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 140.97/19.80
% 140.97/19.80
% 140.97/19.80 ------
% 140.97/19.80 Current options:
% 140.97/19.80 ------
% 140.97/19.80
% 140.97/19.80
% 140.97/19.80
% 140.97/19.80
% 140.97/19.80 ------ Proving...
% 140.97/19.80 Proof_search_loop: time out after: 8994 full_loop iterations
% 140.97/19.80
% 140.97/19.80 ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 140.97/19.80
% 140.97/19.80
% 140.97/19.80 ------
% 140.97/19.80 Current options:
% 140.97/19.80 ------
% 140.97/19.80
% 140.97/19.80
% 140.97/19.80
% 140.97/19.80
% 140.97/19.80 ------ Proving...
% 140.97/19.80
% 140.97/19.80
% 140.97/19.80 % SZS status Unsatisfiable for theBenchmark.p
% 140.97/19.80
% 140.97/19.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 140.97/19.80
% 140.97/19.81
%------------------------------------------------------------------------------