%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT251-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:58:26 PM UTC 2026
% Result : Unsatisfiable 59.83s 16.95s
% Output : CNFRefutation 59.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 64 ( 55 unt; 0 def)
% Number of atoms : 81 ( 80 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 21 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 96 ( 0 sgn 96 !; 0 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',idempotence_of_join) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).
fof(f9,axiom,
! [X0] : join(X0,complement(X0)) = one,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-4.ax',complement_join) ).
fof(f10,axiom,
! [X0] : meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-4.ax',complement_meet) ).
fof(f11,axiom,
! [X0,X1] :
( complement(X0) = X1
| join(X0,X1) != one
| meet(X0,X1) != zero ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-4.ax',meet_join_complement) ).
fof(f12,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,join(X2,meet(X0,X1))),meet(X0,join(X1,meet(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H69) ).
fof(f13,axiom,
meet(b,a) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity_hypothesis) ).
fof(f14,plain,
a = meet(b,a),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).
fof(f16,plain,
complement(a) != join(complement(b),complement(a)),
inference(reorient_equations,[],[f15]) ).
tcf(c_64,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(cnf_transformation,[],[f2]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_71,plain,
! [X0: $i] : join(X0,complement(X0)) = one,
inference(cnf_transformation,[],[f9]) ).
tcf(c_72,plain,
! [X0: $i] : meet(X0,complement(X0)) = zero,
inference(cnf_transformation,[],[f10]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( ( complement(X0) = X1 )
| ( meet(X0,X1) != zero )
| ( join(X0,X1) != one ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,join(X1,meet(X0,X2))),meet(X0,join(X2,meet(X0,X1)))) = meet(X0,join(X2,X1)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_75,plain,
meet(b,a) = a,
inference(cnf_transformation,[],[f14]) ).
tcf(c_76,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
inference(cnf_transformation,[],[f16]) ).
tcf(c_94,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_186,plain,
! [X0: $i,X1: $i] :
( ( join(complement(b),complement(a)) = complement(X1) )
| ( complement(X1) != X0 )
| ( join(complement(b),complement(a)) != X0 ) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_261,plain,
! [X0: $i] :
( ( join(complement(b),complement(a)) = complement(X0) )
| ( complement(X0) != join(complement(b),complement(a)) )
| ( join(complement(b),complement(a)) != join(complement(b),complement(a)) ) ),
inference(instantiation,[status(thm)],[c_186]) ).
tcf(c_262,plain,
join(complement(b),complement(a)) = join(complement(b),complement(a)),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_263,plain,
( ( join(complement(b),complement(a)) = complement(a) )
| ( complement(a) != join(complement(b),complement(a)) )
| ( join(complement(b),complement(a)) != join(complement(b),complement(a)) ) ),
inference(instantiation,[status(thm)],[c_261]) ).
tcf(c_10567,plain,
! [X0: $i] :
( ( complement(X0) = join(complement(b),complement(a)) )
| ( meet(X0,join(complement(b),complement(a))) != zero )
| ( join(X0,join(complement(b),complement(a))) != one ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_10568,plain,
( ( complement(a) = join(complement(b),complement(a)) )
| ( meet(a,join(complement(b),complement(a))) != zero )
| ( join(a,join(complement(b),complement(a))) != one ) ),
inference(instantiation,[status(thm)],[c_10567]) ).
tcf(c_83964,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_70,c_68]) ).
tcf(c_83965,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(superposition,[status(thm)],[c_69,c_67]) ).
tcf(c_84310,plain,
! [X0: $i,X1: $i] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_68,c_65]) ).
tcf(c_84341,plain,
! [X0: $i] : meet(b,meet(a,X0)) = meet(a,X0),
inference(superposition,[status(thm)],[c_75,c_69]) ).
tcf(c_84344,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(superposition,[status(thm)],[c_67,c_69]) ).
tcf(c_84498,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_64,c_70]) ).
tcf(c_84757,plain,
! [X0: $i,X1: $i] : meet(X0,meet(complement(X0),X1)) = meet(zero,X1),
inference(superposition,[status(thm)],[c_72,c_69]) ).
tcf(c_84758,plain,
! [X0: $i] : join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_72,c_66]) ).
tcf(c_84788,plain,
! [X0: $i,X1: $i] : join(meet(X0,join(complement(X0),meet(X0,X1))),meet(X0,join(X1,zero))) = meet(X0,join(X1,complement(X0))),
inference(superposition,[status(thm)],[c_72,c_74]) ).
tcf(c_84792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(meet(meet(X0,X1),join(X2,meet(meet(X0,X1),X3))),meet(meet(X0,X1),join(X3,meet(X0,meet(X1,X2))))) = meet(meet(X0,X1),join(X3,X2)),
inference(superposition,[status(thm)],[c_69,c_74]) ).
tcf(c_84799,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,join(X1,meet(X0,X2))),meet(X0,join(X2,meet(X0,X1)))) = meet(X0,join(X1,X2)),
inference(superposition,[status(thm)],[c_74,c_68]) ).
tcf(c_84808,plain,
! [X0: $i,X1: $i] : join(meet(X0,X1),meet(X0,join(complement(X0),meet(X0,X1)))) = meet(X0,join(X1,complement(X0))),
inference(demodulation,[status(thm)],[c_84788,c_68,c_84758]) ).
tcf(c_84814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(meet(X0,meet(X1,join(X2,meet(X0,meet(X1,X3))))),meet(X0,meet(X1,join(X3,meet(X1,meet(X0,X2)))))) = meet(X0,meet(X1,join(X3,X2))),
inference(demodulation,[status(thm)],[c_84792,c_84344]) ).
tcf(c_85392,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(X0))) = join(X1,one),
inference(superposition,[status(thm)],[c_71,c_83964]) ).
tcf(c_85535,plain,
! [X0: $i] : meet(b,meet(X0,a)) = meet(X0,a),
inference(superposition,[status(thm)],[c_75,c_83965]) ).
tcf(c_88007,plain,
! [X0: $i] : join(X0,one) = one,
inference(superposition,[status(thm)],[c_71,c_84498]) ).
tcf(c_91338,plain,
! [X0: $i] : meet(zero,X0) = zero,
inference(superposition,[status(thm)],[c_84758,c_84310]) ).
tcf(c_91339,plain,
! [X0: $i] : join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_84758,c_68]) ).
tcf(c_115322,plain,
! [X0: $i,X1: $i] : join(meet(b,meet(a,join(X0,meet(a,X1)))),meet(b,meet(a,join(X1,meet(a,meet(b,X0)))))) = meet(b,meet(a,join(X1,X0))),
inference(superposition,[status(thm)],[c_84341,c_84814]) ).
tcf(c_115443,plain,
! [X0: $i,X1: $i] : meet(a,join(X0,X1)) = meet(a,join(X1,X0)),
inference(demodulation,[status(thm)],[c_115322,c_83965,c_84799,c_84341]) ).
tcf(c_152041,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(X0))) = one,
inference(demodulation,[status(thm)],[c_85392,c_88007]) ).
tcf(c_154909,plain,
meet(complement(b),a) = meet(zero,a),
inference(superposition,[status(thm)],[c_85535,c_84757]) ).
tcf(c_154910,plain,
meet(a,complement(b)) = zero,
inference(demodulation,[status(thm)],[c_154909,c_67,c_91338]) ).
tcf(c_156248,plain,
join(zero,meet(a,join(complement(a),zero))) = meet(a,join(complement(b),complement(a))),
inference(superposition,[status(thm)],[c_154910,c_84808]) ).
tcf(c_156301,plain,
meet(a,join(complement(b),complement(a))) = zero,
inference(demodulation,[status(thm)],[c_156248,c_72,c_91339,c_115443]) ).
tcf(c_157354,plain,
( ( join(complement(b),complement(a)) = complement(a) )
| ( join(a,join(complement(b),complement(a))) != one ) ),
inference(superposition,[status(thm)],[c_156301,c_73]) ).
tcf(c_157396,plain,
join(a,join(complement(b),complement(a))) != one,
inference(global_subsumption_just,[status(thm)],[c_157354,c_76,c_263,c_262,c_10568,c_156301]) ).
tcf(c_157398,plain,
$false,
inference(ground_joinability,[status(thm)],[c_157396,c_152041]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT251-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 20:45:56 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 59.83/16.95 % SZS status Started for theBenchmark.p
% 59.83/16.95 % SZS status Unsatisfiable for theBenchmark.p
% 59.83/16.95
% 59.83/16.95 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 59.83/16.95
% 59.83/16.95 % ------ iProver source info
% 59.83/16.95
% 59.83/16.95 % git: date: 2026-07-19 20:42:38 +0200
% 59.83/16.95 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 59.83/16.95 % git: non_committed_changes: false
% 59.83/16.95
% 59.83/16.95 % ------ Parsing...% successful
% 59.83/16.95
% 59.83/16.95
% 59.83/16.95 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 59.83/16.95
% 59.83/16.95 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 59.83/16.95
% 59.83/16.95 % ------ Preprocessing...%
% 59.83/16.95
% 59.83/16.95 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 59.83/16.95 % ------ Proving...
% 59.83/16.95 % ------ Problem Properties
% 59.83/16.95
% 59.83/16.95 %
% 59.83/16.95 % clauses 14
% 59.83/16.95 % conjectures 1
% 59.83/16.95 % EPR 0
% 59.83/16.95 % Horn 14
% 59.83/16.95 % unary 13
% 59.83/16.95 % binary 0
% 59.83/16.95 % lits 16
% 59.83/16.95 % lits eq 16
% 59.83/16.95 % fd_pure 0
% 59.83/16.95 % fd_pseudo 0
% 59.83/16.95 % fd_cond 0
% 59.83/16.95 % fd_pseudo_cond 1
% 59.83/16.95 % AC symbols 2
% 59.83/16.95
% 59.83/16.95 % ------ Input Options Time Limit: Unbounded
% 59.83/16.95
% 59.83/16.95
% 59.83/16.95 % ------
% 59.83/16.95 % Current options:
% 59.83/16.95 % ------
% 59.83/16.95
% 59.83/16.95
% 59.83/16.95 %
% 59.83/16.95
% 59.83/16.95 % ------ Proving...
% 59.83/16.95 %
% 59.83/16.95
% 59.83/16.95 % SZS status Unsatisfiable for theBenchmark.p
% 59.83/16.95
% 59.83/16.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 59.83/16.95
% 59.83/16.95
%------------------------------------------------------------------------------