%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT250-1 : 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 : n004.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 57.61s 9.12s
% Output : CNFRefutation 57.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 61 ( 52 unt; 0 def)
% Number of atoms : 78 ( 77 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 : 89 ( 0 sgn 89 !; 0 ?; 67 :)
% 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,X1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H68) ).
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,X1))))) = 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_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_237,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_186]) ).
tcf(c_238,plain,
join(complement(b),complement(a)) = join(complement(a),complement(b)),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_239,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_237]) ).
tcf(c_5589,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_5809,plain,
meet(a,b) = a,
inference(demodulation,[status(thm)],[c_75,c_67]) ).
tcf(c_5826,plain,
! [X0: $i,X1: $i] : join(X0,meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_67,c_66]) ).
tcf(c_5880,plain,
! [X0: $i,X1: $i] : meet(X0,meet(X0,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_63,c_69]) ).
tcf(c_5884,plain,
! [X0: $i] : meet(a,meet(b,X0)) = meet(a,X0),
inference(superposition,[status(thm)],[c_5809,c_69]) ).
tcf(c_6189,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(one,X1),
inference(superposition,[status(thm)],[c_71,c_70]) ).
tcf(c_6190,plain,
! [X0: $i] : meet(X0,one) = X0,
inference(superposition,[status(thm)],[c_71,c_65]) ).
tcf(c_6252,plain,
! [X0: $i] : join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_72,c_66]) ).
tcf(c_6291,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,meet(X0,join(meet(X0,X1),X2)))) = meet(X0,join(X1,X2)),
inference(superposition,[status(thm)],[c_68,c_74]) ).
tcf(c_6292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : meet(X0,join(X1,meet(X0,join(X2,join(X3,meet(X0,X1)))))) = meet(X0,join(X1,join(X2,X3))),
inference(superposition,[status(thm)],[c_70,c_74]) ).
tcf(c_6295,plain,
! [X0: $i,X1: $i] : meet(X0,join(complement(X0),meet(X0,join(X1,zero)))) = meet(X0,join(complement(X0),X1)),
inference(superposition,[status(thm)],[c_72,c_74]) ).
tcf(c_6312,plain,
! [X0: $i,X1: $i] : meet(X0,join(complement(X0),meet(X0,X1))) = meet(X0,join(complement(X0),X1)),
inference(demodulation,[status(thm)],[c_6295,c_6252]) ).
tcf(c_7406,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(meet(X1,X0),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_5826,c_70]) ).
tcf(c_7409,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,meet(X2,X0))) = join(X1,X0),
inference(superposition,[status(thm)],[c_5826,c_5589]) ).
tcf(c_7804,plain,
! [X0: $i] : meet(X0,zero) = zero,
inference(superposition,[status(thm)],[c_72,c_5880]) ).
tcf(c_8342,plain,
meet(a,complement(b)) = meet(a,zero),
inference(superposition,[status(thm)],[c_72,c_5884]) ).
tcf(c_8356,plain,
meet(a,complement(b)) = zero,
inference(demodulation,[status(thm)],[c_8342,c_7804]) ).
tcf(c_11088,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_11089,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_11088]) ).
tcf(c_13303,plain,
! [X0: $i] : join(one,X0) = one,
inference(superposition,[status(thm)],[c_6190,c_5826]) ).
tcf(c_14694,plain,
! [X0: $i] : join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_6252,c_68]) ).
tcf(c_16420,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,join(meet(X0,X1),X2))) = meet(X0,join(X1,join(X2,meet(X0,X1)))),
inference(superposition,[status(thm)],[c_6292,c_6291]) ).
tcf(c_16429,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(demodulation,[status(thm)],[c_16420,c_7406,c_7409]) ).
tcf(c_20591,plain,
meet(a,join(complement(a),complement(b))) = meet(a,join(complement(a),zero)),
inference(superposition,[status(thm)],[c_8356,c_6312]) ).
tcf(c_20625,plain,
meet(a,join(complement(a),complement(b))) = zero,
inference(demodulation,[status(thm)],[c_20591,c_72,c_14694,c_16429]) ).
tcf(c_21981,plain,
( ( join(complement(a),complement(b)) = complement(a) )
| ( join(a,join(complement(a),complement(b))) != one ) ),
inference(superposition,[status(thm)],[c_20625,c_73]) ).
tcf(c_22001,plain,
join(a,join(complement(a),complement(b))) != one,
inference(global_subsumption_just,[status(thm)],[c_21981,c_76,c_239,c_238,c_11089,c_20625]) ).
tcf(c_22003,plain,
$false,
inference(ground_joinability,[status(thm)],[c_22001,c_6189,c_13303]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT250-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.57 % Computer : n004.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Wed Sep 23 20:41:36 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.57 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.61 Running first-order theorem proving
% 0.09/0.61 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
% 0.09/0.62
% 0.09/0.62 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.62
% 0.09/0.62 % Detected problem language: tptp
% 0.13/0.63 % Proving...
% 57.61/9.12 % SZS status Started for theBenchmark.p
% 57.61/9.12 % SZS status Unsatisfiable for theBenchmark.p
% 57.61/9.12
% 57.61/9.12 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 57.61/9.12
% 57.61/9.12 % ------ iProver source info
% 57.61/9.12
% 57.61/9.12 % git: date: 2026-07-19 20:42:38 +0200
% 57.61/9.12 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 57.61/9.12 % git: non_committed_changes: false
% 57.61/9.12
% 57.61/9.12 % ------ Parsing...% successful
% 57.61/9.12
% 57.61/9.12
% 57.61/9.12 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 57.61/9.12
% 57.61/9.12 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 57.61/9.12
% 57.61/9.12 % ------ Preprocessing...%
% 57.61/9.12
% 57.61/9.12 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 57.61/9.12 % ------ Proving...
% 57.61/9.12 % ------ Problem Properties
% 57.61/9.12
% 57.61/9.12 %
% 57.61/9.12 % clauses 14
% 57.61/9.12 % conjectures 1
% 57.61/9.12 % EPR 0
% 57.61/9.12 % Horn 14
% 57.61/9.12 % unary 13
% 57.61/9.12 % binary 0
% 57.61/9.12 % lits 16
% 57.61/9.12 % lits eq 16
% 57.61/9.12 % fd_pure 0
% 57.61/9.12 % fd_pseudo 0
% 57.61/9.12 % fd_cond 0
% 57.61/9.12 % fd_pseudo_cond 1
% 57.61/9.12 % AC symbols 2
% 57.61/9.12
% 57.61/9.12 % ------ Input Options Time Limit: Unbounded
% 57.61/9.12
% 57.61/9.12
% 57.61/9.12 % ------
% 57.61/9.12 % Current options:
% 57.61/9.12 % ------
% 57.61/9.12
% 57.61/9.12
% 57.61/9.12 %
% 57.61/9.12
% 57.61/9.12 % ------ Proving...
% 57.61/9.12 %
% 57.61/9.12
% 57.61/9.12 % SZS status Unsatisfiable for theBenchmark.p
% 57.61/9.12
% 57.61/9.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 57.61/9.13
% 57.61/9.13
%------------------------------------------------------------------------------