%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT039-1 : 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 1.66s 6.19s
% Output : CNFRefutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 1 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 : 33 ( 0 sgn 33 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption1) ).
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(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) = yy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs) ).
fof(f12,plain,
yy = join(xx,yy),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
join(xx,meet(yy,zz)) != meet(yy,join(xx,zz)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rhs) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_68,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] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(X1,X2)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_71,plain,
join(xx,yy) = yy,
inference(cnf_transformation,[],[f12]) ).
tcf(c_72,negated_conjecture,
meet(yy,join(xx,zz)) != join(xx,meet(yy,zz)),
inference(cnf_transformation,[],[f13]) ).
tcf(c_83,plain,
join(yy,xx) = yy,
inference(theory_normalisation,[status(thm)],[c_71,c_68,c_66,c_67,c_65]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_66,c_63]) ).
tcf(c_392,plain,
meet(xx,yy) = xx,
inference(superposition,[status(thm)],[c_83,c_174]) ).
tcf(c_403,plain,
meet(yy,xx) = xx,
inference(theory_normalisation,[status(thm)],[c_392,c_67,c_65,c_68,c_66]) ).
tcf(c_447,plain,
! [X0: $i] : meet(yy,join(xx,X0)) = join(xx,meet(yy,X0)),
inference(superposition,[status(thm)],[c_403,c_70]) ).
tcf(c_454,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_72,c_447]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT039-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/5.38 % Computer : n011.cluster.edu
% 0.08/5.38 % Model : x86_64 x86_64
% 0.08/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.38 % Memory : 8046.5625MB
% 0.08/5.38 % OS : Linux 6.8.0-71-generic
% 0.08/5.38 % CPULimit : 300
% 0.08/5.38 % WCLimit : 300
% 0.08/5.38 % DateTime : Wed Sep 23 20:05:17 UTC 2026
% 0.08/5.39 % CPUTime :
% 0.08/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.42 Running UEQ theorem proving
% 0.14/5.42 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
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.45 % Proving...
% 1.66/6.19 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 1.66/6.19 % SZS status Started for theBenchmark.p
% 1.66/6.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.66/6.19
% 1.66/6.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.66/6.19
% 1.66/6.19 % ------ iProver source info
% 1.66/6.19
% 1.66/6.19 % git: date: 2026-07-19 20:42:38 +0200
% 1.66/6.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.66/6.19 % git: non_committed_changes: false
% 1.66/6.19
% 1.66/6.19 % ------ Parsing...% successful
% 1.66/6.19
% 1.66/6.19
% 1.66/6.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.66/6.19
% 1.66/6.19 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.66/6.19
% 1.66/6.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.66/6.19
% 1.66/6.19 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.66/6.19 % ------ Proving...
% 1.66/6.19 % ------ Problem Properties
% 1.66/6.19
% 1.66/6.19 %
% 1.66/6.19 % clauses 12
% 1.66/6.19 % conjectures 1
% 1.66/6.19 % EPR 0
% 1.66/6.19 % Horn 12
% 1.66/6.19 % unary 12
% 1.66/6.19 % binary 0
% 1.66/6.19 % lits 12
% 1.66/6.19 % lits eq 12
% 1.66/6.19 % fd_pure 0
% 1.66/6.19 % fd_pseudo 0
% 1.66/6.19 % fd_cond 0
% 1.66/6.19 % fd_pseudo_cond 0
% 1.66/6.19 % AC symbols 2
% 1.66/6.19
% 1.66/6.19 % ------ Input Options Time Limit: Unbounded
% 1.66/6.19
% 1.66/6.19
% 1.66/6.19 % ------
% 1.66/6.19 % Current options:
% 1.66/6.19 % ------
% 1.66/6.19
% 1.66/6.19
% 1.66/6.19 %
% 1.66/6.19
% 1.66/6.19 % ------ Proving...
% 1.66/6.19 %
% 1.66/6.19
% 1.66/6.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.66/6.19
% 1.66/6.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.66/6.19
% 1.66/6.19
%------------------------------------------------------------------------------