%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT019-1 : TPTP v9.3.1. Released v2.2.0.
% 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 01:58:07 PM UTC 2026
% Result : Unsatisfiable 0.82s 1.21s
% Output : CNFRefutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 44 ( 44 unt; 0 def)
% Number of atoms : 44 ( 43 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 103 ( 0 sgn 103 !; 0 ?; 76 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',idempotence_of_meet) ).
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',idempotence_of_join) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',commutativity_of_meet) ).
fof(f4,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',commutativity_of_join) ).
fof(f5,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',associativity_of_meet) ).
fof(f6,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',associativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : join(meet(X0,join(X1,X2)),meet(X0,X1)) = meet(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',quasi_lattice1) ).
fof(f8,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,join(X1,X2)),meet(X0,X1)),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X2,X0,X1] : meet(join(X0,meet(X1,X2)),join(X0,X1)) = join(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',quasi_lattice2) ).
fof(f10,plain,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,meet(X1,X2)),join(X0,X1)),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_law) ).
fof(f12,negated_conjecture,
join(a,meet(b,c)) != meet(join(a,b),join(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity_law_dual) ).
tcf(c_59,plain,
! [X0: $i] : meet(X0,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_60,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(cnf_transformation,[],[f2]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,join(X1,X2)),meet(X0,X1)) = meet(X0,join(X1,X2)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,meet(X1,X2)),join(X0,X1)) = join(X0,meet(X1,X2)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(X1,X2)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_68,negated_conjecture,
meet(join(a,b),join(a,c)) != join(a,meet(b,c)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_2495,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(superposition,[status(thm)],[c_63,c_61]) ).
tcf(c_2497,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_60,c_64]) ).
tcf(c_2507,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X1,X2)) = meet(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_61,c_67]) ).
tcf(c_2510,plain,
! [X0: $i,X1: $i] : join(meet(X0,X1),X0) = meet(X0,join(X1,X0)),
inference(superposition,[status(thm)],[c_59,c_67]) ).
tcf(c_2533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(meet(X0,X1),meet(X2,meet(X0,X3))) = meet(X0,join(X1,meet(X2,X3))),
inference(superposition,[status(thm)],[c_2495,c_67]) ).
tcf(c_2535,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X0,join(X1,X2))) = meet(X0,join(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_65,c_64,c_62,c_63,c_61]) ).
tcf(c_2560,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X0,meet(X1,X2))) = join(X0,meet(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_66,c_64,c_62,c_63,c_61]) ).
tcf(c_2582,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(join(X0,X1),X0),join(X0,meet(X1,X2))) = join(X0,meet(X1,X2)),
inference(superposition,[status(thm)],[c_2560,c_2535]) ).
tcf(c_2604,plain,
! [X0: $i,X1: $i] : join(X0,meet(X0,X1)) = meet(X0,join(X1,X0)),
inference(theory_normalisation,[status(thm)],[c_2510,c_64,c_62,c_63,c_61]) ).
tcf(c_2613,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(meet(X1,X2),meet(X0,join(X0,X1)))) = join(X0,meet(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_2582,c_64,c_62,c_63,c_61]) ).
tcf(c_2680,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,meet(meet(X0,X2),X2))) = join(meet(X0,X1),meet(X0,X2)),
inference(superposition,[status(thm)],[c_59,c_2533]) ).
tcf(c_2890,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X0,meet(join(X0,X1),X2))) = join(X0,meet(join(X0,X1),X2)),
inference(superposition,[status(thm)],[c_2497,c_2560]) ).
tcf(c_2918,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(meet(X1,X2),meet(X0,join(X1,X0)))) = join(X0,meet(X1,X2)),
inference(superposition,[status(thm)],[c_62,c_2613]) ).
tcf(c_2964,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(meet(X1,X2),join(X0,meet(X0,X1)))) = join(X0,meet(X1,X2)),
inference(demodulation,[status(thm)],[c_2918,c_2604]) ).
tcf(c_2965,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(meet(X0,X1),meet(X1,X2))) = join(X0,meet(X1,X2)),
inference(ac_demodulation,[status(thm)],[c_2964,c_60,c_64,c_62,c_63,c_61]) ).
tcf(c_2966,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,meet(X1,join(X0,X2))) = join(X0,meet(X1,X2)),
inference(demodulation,[status(thm)],[c_2965,c_2507]) ).
tcf(c_2986,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,meet(X0,meet(X2,X2)))) = join(meet(X0,X1),meet(X0,X2)),
inference(theory_normalisation,[status(thm)],[c_2680,c_64,c_62,c_63,c_61]) ).
tcf(c_2987,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(X1,X2)),
inference(demodulation,[status(thm)],[c_2986,c_67,c_59]) ).
tcf(c_2995,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,meet(join(X0,X1),X2)) = meet(join(X0,X1),join(X0,X2)),
inference(demodulation,[status(thm)],[c_2890,c_2987]) ).
tcf(c_3189,plain,
join(a,meet(join(a,b),c)) != join(a,meet(b,c)),
inference(demodulation,[status(thm)],[c_68,c_2995]) ).
tcf(c_3190,plain,
join(a,meet(c,join(a,b))) != join(a,meet(b,c)),
inference(theory_normalisation,[status(thm)],[c_3189,c_64,c_62,c_63,c_61]) ).
tcf(c_3554,plain,
$false,
inference(ground_joinability,[status(thm)],[c_3190,c_61,c_2966]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT019-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 20:06:57 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running UEQ theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 0.82/1.21 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 0.82/1.21 % SZS status Started for theBenchmark.p
% 0.82/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 0.82/1.21
% 0.82/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.82/1.21
% 0.82/1.21 % ------ iProver source info
% 0.82/1.21
% 0.82/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 0.82/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.82/1.21 % git: non_committed_changes: false
% 0.82/1.21
% 0.82/1.21 % ------ Parsing...% successful
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.82/1.21 % ------ Proving...
% 0.82/1.21 % ------ Problem Properties
% 0.82/1.21
% 0.82/1.21 %
% 0.82/1.21 % clauses 10
% 0.82/1.21 % conjectures 1
% 0.82/1.21 % EPR 0
% 0.82/1.21 % Horn 10
% 0.82/1.21 % unary 10
% 0.82/1.21 % binary 0
% 0.82/1.21 % lits 10
% 0.82/1.21 % lits eq 10
% 0.82/1.21 % fd_pure 0
% 0.82/1.21 % fd_pseudo 0
% 0.82/1.21 % fd_cond 0
% 0.82/1.21 % fd_pseudo_cond 0
% 0.82/1.21 % AC symbols 2
% 0.82/1.21
% 0.82/1.21 % ------ Input Options Time Limit: Unbounded
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 % ------
% 0.82/1.21 % Current options:
% 0.82/1.21 % ------
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 %
% 0.82/1.21
% 0.82/1.21 % ------ Proving...
% 0.82/1.21 %
% 0.82/1.21
% 0.82/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 0.82/1.21
% 0.82/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.82/1.21
% 0.82/1.21
%------------------------------------------------------------------------------