%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT035-1 : 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 : n013.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 01:58:08 PM UTC 2026
% Result : Unsatisfiable 1.40s 1.27s
% Output : CNFRefutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 21 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 10 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
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(f16,axiom,
! [X0,X1] : k(join(X0,X1)) = meet(k(X0),k(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_on_join) ).
fof(f18,axiom,
k(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_on_bottom) ).
fof(f19,plain,
n1 = k(n0),
inference(reorient_equations,[],[f18]) ).
fof(f22,axiom,
! [X0,X1] : f(meet(X0,X1)) = join(f(X0),f(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_on_meet) ).
fof(f23,axiom,
f(n1) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_on_top) ).
fof(f24,plain,
n0 = f(n1),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( f(k(n0)) != n0
| f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',comp_join_hemimorphism) ).
fof(f26,plain,
( n0 != f(k(n0))
| f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb))) ),
inference(reorient_equations,[],[f25]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] : meet(k(X0),k(X1)) = k(join(X0,X1)),
inference(cnf_transformation,[],[f16]) ).
tcf(c_84,plain,
k(n0) = n1,
inference(cnf_transformation,[],[f19]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] : join(f(X0),f(X1)) = f(meet(X0,X1)),
inference(cnf_transformation,[],[f22]) ).
tcf(c_87,plain,
f(n1) = n0,
inference(cnf_transformation,[],[f24]) ).
tcf(c_88,negated_conjecture,
( ( f(k(n0)) != n0 )
| ( join(f(k(aa)),f(k(bb))) != f(k(join(aa,bb))) ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_149,plain,
( ( f(k(n0)) != n0 )
| ( f(meet(k(aa),k(bb))) != f(k(join(aa,bb))) ) ),
inference(ac_demodulation,[status(thm)],[c_88,c_86,c_75,c_73,c_76,c_74]) ).
tcf(c_150,plain,
f(k(n0)) != n0,
inference(ac_demodulation,[status(thm)],[c_149,c_82,c_75,c_73,c_76,c_74]) ).
tcf(c_151,plain,
n0 != n0,
inference(light_normalisation,[status(thm)],[c_150,c_84,c_87]) ).
tcf(c_152,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT035-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n013.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 20:03:51 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 1.40/1.27 % SZS status Started for theBenchmark.p
% 1.40/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.40/1.27
% 1.40/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.40/1.27
% 1.40/1.27 % ------ iProver source info
% 1.40/1.27
% 1.40/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.40/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.40/1.27 % git: non_committed_changes: false
% 1.40/1.27
% 1.40/1.27 % ------ Parsing...% successful
% 1.40/1.27
% 1.40/1.27
% 1.40/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.40/1.27
% 1.40/1.27 % ------ Preprocessing...%
% 1.40/1.27
% 1.40/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.40/1.27
% 1.40/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.40/1.27
% 1.40/1.27
%------------------------------------------------------------------------------