%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT249-1 : 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 : n008.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 66.25s 10.21s
% Output : CNFRefutation 66.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 53 ( 44 unt; 0 def)
% Number of atoms : 70 ( 69 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 : 8 ( 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 : 66 ( 0 sgn 66 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',idempotence_of_meet) ).
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)) = meet(X0,join(X1,meet(X0,join(X2,meet(X0,join(X1,meet(X0,X2))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H64) ).
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_63,plain,
! [X0: $i] : meet(X0,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
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] : meet(X0,join(X1,meet(X0,join(X2,meet(X0,join(X1,meet(X0,X2))))))) = meet(X0,join(X1,X2)),
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_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_183,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_233,plain,
! [X0: $i] :
( ( join(complement(b),complement(a)) = complement(X0) )
| ( complement(X0) != join(complement(a),complement(b)) )
| ( join(complement(b),complement(a)) != join(complement(a),complement(b)) ) ),
inference(instantiation,[status(thm)],[c_183]) ).
tcf(c_234,plain,
join(complement(b),complement(a)) = join(complement(a),complement(b)),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_235,plain,
( ( join(complement(b),complement(a)) = complement(a) )
| ( complement(a) != join(complement(a),complement(b)) )
| ( join(complement(b),complement(a)) != join(complement(a),complement(b)) ) ),
inference(instantiation,[status(thm)],[c_233]) ).
tcf(c_6853,plain,
meet(a,b) = a,
inference(demodulation,[status(thm)],[c_75,c_67]) ).
tcf(c_6855,plain,
! [X0: $i,X1: $i] : join(X0,meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_67,c_66]) ).
tcf(c_6888,plain,
! [X0: $i,X1: $i] : meet(X0,meet(X0,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_63,c_69]) ).
tcf(c_6892,plain,
! [X0: $i] : meet(a,meet(b,X0)) = meet(a,X0),
inference(superposition,[status(thm)],[c_6853,c_69]) ).
tcf(c_7270,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(one,X1),
inference(superposition,[status(thm)],[c_71,c_70]) ).
tcf(c_7271,plain,
! [X0: $i] : meet(X0,one) = X0,
inference(superposition,[status(thm)],[c_71,c_65]) ).
tcf(c_7474,plain,
! [X0: $i] : join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_72,c_66]) ).
tcf(c_7704,plain,
! [X0: $i,X1: $i] : meet(X0,join(X1,meet(X0,join(complement(X0),meet(X0,join(X1,zero)))))) = meet(X0,join(X1,complement(X0))),
inference(superposition,[status(thm)],[c_72,c_74]) ).
tcf(c_7723,plain,
! [X0: $i,X1: $i] : meet(X0,join(X1,meet(X0,join(complement(X0),meet(X0,X1))))) = meet(X0,join(X1,complement(X0))),
inference(demodulation,[status(thm)],[c_7704,c_7474]) ).
tcf(c_9484,plain,
! [X0: $i] : meet(X0,zero) = zero,
inference(superposition,[status(thm)],[c_72,c_6888]) ).
tcf(c_10220,plain,
meet(a,complement(b)) = meet(a,zero),
inference(superposition,[status(thm)],[c_72,c_6892]) ).
tcf(c_10235,plain,
meet(a,complement(b)) = zero,
inference(demodulation,[status(thm)],[c_10220,c_9484]) ).
tcf(c_10809,plain,
! [X0: $i] :
( ( complement(X0) = join(complement(a),complement(b)) )
| ( meet(X0,join(complement(a),complement(b))) != zero )
| ( join(X0,join(complement(a),complement(b))) != one ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_10810,plain,
( ( complement(a) = join(complement(a),complement(b)) )
| ( meet(a,join(complement(a),complement(b))) != zero )
| ( join(a,join(complement(a),complement(b))) != one ) ),
inference(instantiation,[status(thm)],[c_10809]) ).
tcf(c_14771,plain,
! [X0: $i] : join(one,X0) = one,
inference(superposition,[status(thm)],[c_7271,c_6855]) ).
tcf(c_23135,plain,
meet(a,join(complement(b),meet(a,join(complement(a),zero)))) = meet(a,join(complement(b),complement(a))),
inference(superposition,[status(thm)],[c_10235,c_7723]) ).
tcf(c_23183,plain,
meet(a,join(complement(a),complement(b))) = zero,
inference(demodulation,[status(thm)],[c_23135,c_72,c_68,c_7474,c_10235]) ).
tcf(c_25236,plain,
( ( join(complement(a),complement(b)) = complement(a) )
| ( join(a,join(complement(a),complement(b))) != one ) ),
inference(superposition,[status(thm)],[c_23183,c_73]) ).
tcf(c_25255,plain,
join(a,join(complement(a),complement(b))) != one,
inference(global_subsumption_just,[status(thm)],[c_25236,c_76,c_235,c_234,c_10810,c_23183]) ).
tcf(c_25257,plain,
$false,
inference(ground_joinability,[status(thm)],[c_25255,c_7270,c_14771]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT249-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/0.43 % Computer : n008.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Wed Sep 23 20:42:25 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/0.50 Running first-order theorem proving
% 0.18/0.50 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
% 0.27/0.52
% 0.27/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.27/0.52
% 0.27/0.52 % Detected problem language: tptp
% 0.27/0.54 % Proving...
% 66.25/10.21 % SZS status Started for theBenchmark.p
% 66.25/10.21 % SZS status Unsatisfiable for theBenchmark.p
% 66.25/10.21
% 66.25/10.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 66.25/10.21
% 66.25/10.21 % ------ iProver source info
% 66.25/10.21
% 66.25/10.21 % git: date: 2026-07-19 20:42:38 +0200
% 66.25/10.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 66.25/10.21 % git: non_committed_changes: false
% 66.25/10.21
% 66.25/10.21 % ------ Parsing...% successful
% 66.25/10.21
% 66.25/10.21
% 66.25/10.21 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 66.25/10.21
% 66.25/10.21 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 66.25/10.21
% 66.25/10.21 % ------ Preprocessing...%
% 66.25/10.21
% 66.25/10.21 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 66.25/10.21 % ------ Proving...
% 66.25/10.21 % ------ Problem Properties
% 66.25/10.21
% 66.25/10.21 %
% 66.25/10.21 % clauses 14
% 66.25/10.21 % conjectures 1
% 66.25/10.21 % EPR 0
% 66.25/10.21 % Horn 14
% 66.25/10.21 % unary 13
% 66.25/10.21 % binary 0
% 66.25/10.21 % lits 16
% 66.25/10.21 % lits eq 16
% 66.25/10.21 % fd_pure 0
% 66.25/10.21 % fd_pseudo 0
% 66.25/10.21 % fd_cond 0
% 66.25/10.21 % fd_pseudo_cond 1
% 66.25/10.21 % AC symbols 2
% 66.25/10.21
% 66.25/10.21 % ------ Input Options Time Limit: Unbounded
% 66.25/10.21
% 66.25/10.21
% 66.25/10.21 % ------
% 66.25/10.21 % Current options:
% 66.25/10.21 % ------
% 66.25/10.21
% 66.25/10.21
% 66.25/10.21 %
% 66.25/10.21
% 66.25/10.21 % ------ Proving...
% 66.25/10.21 %
% 66.25/10.21
% 66.25/10.21 % SZS status Unsatisfiable for theBenchmark.p
% 66.25/10.21
% 66.25/10.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 66.25/10.21
% 66.25/10.21
%------------------------------------------------------------------------------