%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT040-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.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 01:58:09 PM UTC 2026
% Result : Unsatisfiable 3.27s 1.19s
% Output : CNFRefutation 3.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 61 ( 61 unt; 0 def)
% Number of atoms : 61 ( 60 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 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 : 84 ( 0 sgn 84 !; 0 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',idempotence_of_join) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).
fof(f9,axiom,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_join) ).
fof(f10,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_meet) ).
fof(f11,axiom,
join(xx,yy) = join(xx,zz),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs1) ).
fof(f12,axiom,
meet(xx,yy) = meet(xx,zz),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs2) ).
fof(f13,negated_conjecture,
yy != zz,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rhs) ).
tcf(c_63,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(cnf_transformation,[],[f2]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(X1,X2)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_72,plain,
join(xx,yy) = join(xx,zz),
inference(cnf_transformation,[],[f11]) ).
tcf(c_73,plain,
meet(xx,yy) = meet(xx,zz),
inference(cnf_transformation,[],[f12]) ).
tcf(c_74,negated_conjecture,
yy != zz,
inference(cnf_transformation,[],[f13]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_69,c_67]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] : join(X0,meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_66,c_65]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_67,c_64]) ).
tcf(c_107,plain,
! [X0: $i] : meet(meet(xx,yy),X0) = meet(xx,meet(zz,X0)),
inference(superposition,[status(thm)],[c_73,c_68]) ).
tcf(c_115,plain,
! [X0: $i] : join(join(xx,yy),X0) = join(xx,join(zz,X0)),
inference(superposition,[status(thm)],[c_72,c_69]) ).
tcf(c_138,plain,
! [X0: $i] : join(X0,join(xx,yy)) = join(xx,join(X0,zz)),
inference(superposition,[status(thm)],[c_72,c_80]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,join(X0,X2))) = X0,
inference(superposition,[status(thm)],[c_80,c_64]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X1,X2)) = join(X1,meet(X0,X2)),
inference(superposition,[status(thm)],[c_67,c_70]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X1,X2)) = meet(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_66,c_71]) ).
tcf(c_222,plain,
! [X0: $i] : join(xx,join(yy,X0)) = join(xx,join(zz,X0)),
inference(theory_normalisation,[status(thm)],[c_115,c_68,c_66,c_69,c_67]) ).
tcf(c_224,plain,
! [X0: $i] : meet(xx,meet(yy,X0)) = meet(xx,meet(zz,X0)),
inference(theory_normalisation,[status(thm)],[c_107,c_68,c_66,c_69,c_67]) ).
tcf(c_582,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,join(X2,X0))) = X0,
inference(superposition,[status(thm)],[c_67,c_143]) ).
tcf(c_1467,plain,
! [X0: $i] : join(xx,join(X0,yy)) = join(xx,join(X0,zz)),
inference(superposition,[status(thm)],[c_138,c_80]) ).
tcf(c_1489,plain,
join(xx,join(yy,zz)) = join(xx,zz),
inference(superposition,[status(thm)],[c_63,c_222]) ).
tcf(c_1522,plain,
! [X0: $i] : meet(xx,meet(yy,join(X0,zz))) = meet(xx,zz),
inference(superposition,[status(thm)],[c_103,c_224]) ).
tcf(c_1613,plain,
join(xx,join(yy,zz)) = join(xx,yy),
inference(light_normalisation,[status(thm)],[c_1489,c_72]) ).
tcf(c_1631,plain,
! [X0: $i] : meet(xx,meet(yy,join(X0,zz))) = meet(xx,yy),
inference(light_normalisation,[status(thm)],[c_1522,c_73]) ).
tcf(c_2359,plain,
meet(join(yy,zz),join(xx,yy)) = join(yy,zz),
inference(superposition,[status(thm)],[c_1613,c_103]) ).
tcf(c_2580,plain,
meet(join(xx,yy),join(yy,zz)) = join(yy,zz),
inference(theory_normalisation,[status(thm)],[c_2359,c_68,c_66,c_69,c_67]) ).
tcf(c_2581,plain,
join(yy,meet(xx,zz)) = join(yy,zz),
inference(demodulation,[status(thm)],[c_2580,c_152]) ).
tcf(c_2582,plain,
join(yy,meet(xx,yy)) = join(yy,zz),
inference(light_normalisation,[status(thm)],[c_2581,c_73]) ).
tcf(c_2583,plain,
join(yy,zz) = yy,
inference(ac_demodulation,[status(thm)],[c_2582,c_101,c_68,c_66,c_69,c_67]) ).
tcf(c_2734,plain,
! [X0: $i] : meet(yy,join(yy,X0)) = join(yy,meet(zz,X0)),
inference(superposition,[status(thm)],[c_2583,c_70]) ).
tcf(c_2744,plain,
! [X0: $i] : meet(zz,join(X0,yy)) = zz,
inference(superposition,[status(thm)],[c_2583,c_582]) ).
tcf(c_2887,plain,
! [X0: $i] : join(meet(yy,join(X0,zz)),meet(xx,yy)) = meet(yy,join(X0,zz)),
inference(superposition,[status(thm)],[c_1631,c_101]) ).
tcf(c_3090,plain,
! [X0: $i] : join(yy,meet(zz,X0)) = yy,
inference(demodulation,[status(thm)],[c_2734,c_64]) ).
tcf(c_3117,plain,
! [X0: $i] : join(meet(xx,yy),meet(yy,join(X0,zz))) = meet(yy,join(X0,zz)),
inference(theory_normalisation,[status(thm)],[c_2887,c_68,c_66,c_69,c_67]) ).
tcf(c_3118,plain,
! [X0: $i] : meet(yy,join(X0,zz)) = yy,
inference(demodulation,[status(thm)],[c_3117,c_179,c_582,c_1467]) ).
tcf(c_4626,plain,
! [X0: $i,X1: $i] : meet(zz,join(X0,join(X1,yy))) = zz,
inference(superposition,[status(thm)],[c_69,c_2744]) ).
tcf(c_4635,plain,
! [X0: $i,X1: $i] : meet(zz,join(X0,join(X1,yy))) = join(meet(zz,X0),zz),
inference(superposition,[status(thm)],[c_2744,c_71]) ).
tcf(c_4746,plain,
! [X0: $i] : join(join(X0,zz),yy) = join(X0,zz),
inference(superposition,[status(thm)],[c_3118,c_101]) ).
tcf(c_4927,plain,
! [X0: $i] : join(X0,join(yy,zz)) = join(X0,zz),
inference(theory_normalisation,[status(thm)],[c_4746,c_68,c_66,c_69,c_67]) ).
tcf(c_4928,plain,
! [X0: $i] : join(X0,yy) = join(X0,zz),
inference(light_normalisation,[status(thm)],[c_4927,c_2583]) ).
tcf(c_5006,plain,
! [X0: $i] : join(meet(zz,X0),yy) = zz,
inference(demodulation,[status(thm)],[c_4635,c_4626,c_4928]) ).
tcf(c_5007,plain,
! [X0: $i] : join(yy,meet(zz,X0)) = zz,
inference(theory_normalisation,[status(thm)],[c_5006,c_68,c_66,c_69,c_67]) ).
tcf(c_5008,plain,
yy = zz,
inference(demodulation,[status(thm)],[c_5007,c_3090]) ).
tcf(c_5009,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5008,c_74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT040-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n011.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 20:04:57 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running UEQ theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/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...
% 3.27/1.19 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 3.27/1.19 % SZS status Started for theBenchmark.p
% 3.27/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.27/1.19
% 3.27/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.27/1.19
% 3.27/1.19 % ------ iProver source info
% 3.27/1.19
% 3.27/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 3.27/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.27/1.19 % git: non_committed_changes: false
% 3.27/1.19
% 3.27/1.19 % ------ Parsing...% successful
% 3.27/1.19
% 3.27/1.19
% 3.27/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.27/1.19 % ------ Proving...
% 3.27/1.19 % ------ Problem Properties
% 3.27/1.19
% 3.27/1.19 %
% 3.27/1.19 % clauses 13
% 3.27/1.19 % conjectures 1
% 3.27/1.19 % EPR 1
% 3.27/1.19 % Horn 13
% 3.27/1.19 % unary 13
% 3.27/1.19 % binary 0
% 3.27/1.19 % lits 13
% 3.27/1.19 % lits eq 13
% 3.27/1.19 % fd_pure 0
% 3.27/1.19 % fd_pseudo 0
% 3.27/1.19 % fd_cond 0
% 3.27/1.19 % fd_pseudo_cond 0
% 3.27/1.19 % AC symbols 2
% 3.27/1.19
% 3.27/1.19 % ------ Input Options Time Limit: Unbounded
% 3.27/1.19
% 3.27/1.19
% 3.27/1.19 % ------
% 3.27/1.19 % Current options:
% 3.27/1.19 % ------
% 3.27/1.19
% 3.27/1.19
% 3.27/1.19 %
% 3.27/1.19
% 3.27/1.19 % ------ Proving...
% 3.27/1.19 %
% 3.27/1.19
% 3.27/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.27/1.19
% 3.27/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.27/1.20
% 3.27/1.20
%------------------------------------------------------------------------------