%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT005-6 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.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 01:58:05 PM UTC 2026
% Result : Unsatisfiable 26.29s 4.40s
% Output : CNFRefutation 26.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 26
% Syntax : Number of formulae : 126 ( 62 unt; 0 def)
% Number of atoms : 263 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 281 ( 144 ~; 137 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 211 ( 0 sgn 211 !; 0 ?; 156 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : join(n1,X0,n1),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',join_1_and_x) ).
fof(f2,axiom,
! [X0] : join(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',join_x_and_x) ).
fof(f4,axiom,
! [X0] : meet(n0,X0,n0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',meet_0_and_x) ).
fof(f6,axiom,
! [X0] : meet(n1,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',meet_1_and_x) ).
fof(f7,axiom,
! [X2,X0,X1] :
( meet(X1,X0,X2)
| ~ meet(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',commutativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] :
( join(X1,X0,X2)
| ~ join(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',commutativity_of_join) ).
fof(f9,axiom,
! [X2,X0,X1] :
( join(X0,X2,X0)
| ~ meet(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',absorbtion1) ).
fof(f10,axiom,
! [X2,X0,X1] :
( meet(X0,X2,X0)
| ~ join(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',absorbtion2) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X4,X5] :
( meet(X2,X3,X5)
| ~ meet(X0,X4,X5)
| ~ meet(X1,X3,X4)
| ~ meet(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',associativity_of_meet1) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X4,X5] :
( meet(X0,X4,X5)
| ~ meet(X2,X3,X5)
| ~ meet(X1,X3,X4)
| ~ meet(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',associativity_of_meet2) ).
fof(f13,axiom,
! [X2,X3,X0,X1,X4,X5] :
( join(X2,X3,X5)
| ~ join(X0,X4,X5)
| ~ join(X1,X3,X4)
| ~ join(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',associativity_of_join1) ).
fof(f16,axiom,
! [X2,X3,X0,X1,X4,X5] :
( meet(X1,X3,X5)
| ~ join(X0,X4,X5)
| ~ meet(X2,X1,X4)
| ~ join(X0,X2,X3)
| ~ meet(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',modularity2) ).
fof(f21,axiom,
! [X0] : join(X0,n1,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_x_and_1) ).
fof(f22,axiom,
! [X0] : join(X0,n0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_x_and_0) ).
fof(f24,axiom,
! [X0] : meet(X0,n1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_x_and_1) ).
fof(f25,axiom,
! [X2,X3,X0,X1,X4,X5] :
( join(X1,X4,X5)
| ~ meet(X0,X3,X5)
| ~ meet(X0,X2,X4)
| ~ join(X2,X1,X3)
| ~ meet(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modularity3) ).
fof(f26,axiom,
! [X2,X3,X0,X1,X4,X5] :
( meet(X0,X3,X5)
| ~ join(X1,X4,X5)
| ~ meet(X0,X2,X4)
| ~ join(X2,X1,X3)
| ~ meet(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modularity4) ).
fof(f27,negated_conjecture,
meet(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_a_and_b) ).
fof(f29,negated_conjecture,
meet(c,r2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_c_and_r2) ).
fof(f30,negated_conjecture,
meet(r2,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_r2_and_b) ).
fof(f31,negated_conjecture,
join(a,b,c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_a_and_b) ).
fof(f33,negated_conjecture,
meet(c2,r1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_c2_and_r1) ).
fof(f34,negated_conjecture,
meet(r2,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_r2_and_a) ).
fof(f35,negated_conjecture,
join(r1,e,a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_r1_and_e) ).
fof(f36,negated_conjecture,
join(r1,d,b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_r1_and_d) ).
fof(f37,negated_conjecture,
~ meet(a2,b2,r1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_a2_and_b2) ).
tcf(c_86,negated_conjecture,
meet(a,b,c),
inference(cnf_transformation,[],[f27]) ).
tcf(c_88,negated_conjecture,
meet(c,r2,n0),
inference(cnf_transformation,[],[f29]) ).
tcf(c_89,negated_conjecture,
meet(r2,b,e),
inference(cnf_transformation,[],[f30]) ).
tcf(c_90,negated_conjecture,
join(a,b,c2),
inference(cnf_transformation,[],[f31]) ).
tcf(c_92,negated_conjecture,
meet(c2,r1,n0),
inference(cnf_transformation,[],[f33]) ).
tcf(c_93,negated_conjecture,
meet(r2,a,d),
inference(cnf_transformation,[],[f34]) ).
tcf(c_94,negated_conjecture,
join(r1,e,a2),
inference(cnf_transformation,[],[f35]) ).
tcf(c_95,negated_conjecture,
join(r1,d,b2),
inference(cnf_transformation,[],[f36]) ).
tcf(c_96,negated_conjecture,
~ meet(a2,b2,r1),
inference(cnf_transformation,[],[f37]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( meet(X5,X4,X2)
| ~ meet(X5,X3,X1)
| ~ meet(X5,X0,X0)
| ~ join(X3,X0,X4)
| ~ join(X0,X1,X2) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( join(X1,X4,X5)
| ~ meet(X3,X2,X5)
| ~ meet(X3,X1,X1)
| ~ meet(X3,X0,X4)
| ~ join(X0,X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( meet(X5,X2,X4)
| ~ meet(X1,X5,X3)
| ~ meet(X0,X5,X0)
| ~ join(X0,X3,X4)
| ~ join(X0,X1,X2) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( meet(X3,X2,X5)
| ~ meet(X4,X1,X5)
| ~ meet(X3,X0,X4)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( meet(X4,X1,X5)
| ~ meet(X3,X2,X5)
| ~ meet(X3,X0,X4)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X0,X2,X0)
| ~ join(X0,X1,X2) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i] :
( join(X0,X2,X0)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X1,X0,X2)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_107,plain,
! [X0: $i] : meet(X0,n1,X0),
inference(cnf_transformation,[],[f24]) ).
tcf(c_108,plain,
! [X0: $i] : join(X0,n1,n1),
inference(cnf_transformation,[],[f21]) ).
tcf(c_109,plain,
! [X0: $i] : meet(n1,X0,X0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_110,plain,
! [X0: $i] : join(n1,X0,n1),
inference(cnf_transformation,[],[f1]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( join(X4,X1,X5)
| ~ join(X3,X2,X5)
| ~ join(X3,X0,X4)
| ~ join(X0,X1,X2) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i] :
( join(X1,X0,X2)
| ~ join(X0,X1,X2) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_114,plain,
! [X0: $i] : join(X0,X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_116,plain,
! [X0: $i] : join(X0,n0,X0),
inference(cnf_transformation,[],[f22]) ).
tcf(c_117,plain,
! [X0: $i] : meet(n0,X0,n0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_128,plain,
meet(a,c2,a),
inference(resolution,[status(thm)],[c_103,c_90]) ).
tcf(c_130,plain,
meet(r1,a2,r1),
inference(resolution,[status(thm)],[c_103,c_94]) ).
tcf(c_132,plain,
meet(n1,n1,n1),
inference(resolution,[status(thm)],[c_103,c_110]) ).
tcf(c_139,plain,
join(r2,e,r2),
inference(resolution,[status(thm)],[c_104,c_89]) ).
tcf(c_150,plain,
meet(b,a,c),
inference(resolution,[status(thm)],[c_105,c_86]) ).
tcf(c_151,plain,
meet(r2,c,n0),
inference(resolution,[status(thm)],[c_105,c_88]) ).
tcf(c_152,plain,
meet(b,r2,e),
inference(resolution,[status(thm)],[c_105,c_89]) ).
tcf(c_164,plain,
join(b,a,c2),
inference(resolution,[status(thm)],[c_113,c_90]) ).
tcf(c_167,plain,
join(d,r1,b2),
inference(resolution,[status(thm)],[c_113,c_95]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X0,d,X2)
| ~ meet(X1,a,X2)
| ~ meet(X0,r2,X1) ),
inference(resolution,[status(thm)],[c_101,c_93]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( meet(X3,X1,X2)
| ~ meet(X3,n1,X0)
| ~ meet(X0,X1,X2) ),
inference(resolution,[status(thm)],[c_101,c_109]) ).
tcf(c_203,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X1,c2,X2)
| ~ meet(X0,a,X2)
| ~ meet(X0,a,X1) ),
inference(resolution,[status(thm)],[c_102,c_128]) ).
tcf(c_208,plain,
meet(a2,r1,r1),
inference(resolution,[status(thm)],[c_130,c_105]) ).
tcf(c_220,plain,
join(e,r2,r2),
inference(resolution,[status(thm)],[c_139,c_113]) ).
tcf(c_226,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X1,a,X2)
| ~ meet(X0,c,X2)
| ~ meet(X0,b,X1) ),
inference(resolution,[status(thm)],[c_150,c_102]) ).
tcf(c_237,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X0,e,X2)
| ~ meet(X1,r2,X2)
| ~ meet(X0,b,X1) ),
inference(resolution,[status(thm)],[c_152,c_101]) ).
tcf(c_276,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(a2,b2,r1)
| ~ meet(X2,X1,r1)
| ~ meet(X2,X0,a2)
| ~ meet(X0,b2,X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_278,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ meet(X0,b2,X1)
| ~ meet(X2,X0,a2)
| ~ meet(X2,X1,r1) ),
inference(global_subsumption_just,[status(thm)],[c_276,c_96,c_276]) ).
tcf(c_279,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ meet(X2,X1,r1)
| ~ meet(X2,X0,a2)
| ~ meet(X0,b2,X1) ),
inference(renaming,[status(thm)],[c_278]) ).
tcf(c_306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( join(X2,n0,X3)
| ~ join(X0,X1,X3)
| ~ join(X0,X1,X2) ),
inference(resolution,[status(thm)],[c_112,c_116]) ).
tcf(c_340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( meet(a2,X1,X4)
| ~ meet(X3,X0,a2)
| ~ meet(X3,X2,X4)
| ~ meet(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( meet(X3,X2,X1)
| ~ meet(X3,X0,n0)
| ~ meet(X3,X1,X1)
| ~ join(X0,X1,X2) ),
inference(resolution,[status(thm)],[c_97,c_116]) ).
tcf(c_356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( meet(X3,X2,X1)
| ~ meet(X3,X1,X1)
| ~ meet(X3,X0,X1)
| ~ join(X0,X1,X2) ),
inference(resolution,[status(thm)],[c_97,c_114]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( join(X1,X2,X3)
| ~ meet(X0,X1,X3)
| ~ meet(X0,X1,X2)
| ~ meet(X0,X1,X1) ),
inference(resolution,[status(thm)],[c_98,c_114]) ).
tcf(c_407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( meet(X3,n1,X2)
| ~ meet(n1,X3,X1)
| ~ meet(X0,X3,X0)
| ~ join(X0,X1,X2) ),
inference(resolution,[status(thm)],[c_99,c_108]) ).
tcf(c_413,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X2,a2,X1)
| ~ meet(r1,X2,r1)
| ~ meet(e,X2,X0)
| ~ join(r1,X0,X1) ),
inference(resolution,[status(thm)],[c_99,c_94]) ).
tcf(c_456,plain,
meet(b,c2,b),
inference(resolution,[status(thm)],[c_164,c_103]) ).
tcf(c_504,plain,
! [X0: $i] :
( ~ meet(n1,r1,r1)
| ~ meet(n1,X0,a2)
| ~ meet(X0,b2,r1) ),
inference(instantiation,[status(thm)],[c_279]) ).
tcf(c_1095,plain,
meet(a2,n1,a2),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_1177,plain,
meet(n1,a2,a2),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_1228,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(a2,X0,X2)
| ~ meet(a2,n1,a2)
| ~ meet(a2,X1,X2)
| ~ meet(n1,X0,X1) ),
inference(instantiation,[status(thm)],[c_340]) ).
tcf(c_1229,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(a2,X0,X2)
| ~ meet(n1,X0,X1)
| ~ meet(a2,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_1228,c_1095,c_1228]) ).
tcf(c_1230,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(a2,X0,X2)
| ~ meet(a2,X1,X2)
| ~ meet(n1,X0,X1) ),
inference(renaming,[status(thm)],[c_1229]) ).
tcf(c_1231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( meet(X3,X2,a2)
| ~ meet(X4,X1,a2)
| ~ meet(X3,X0,X4)
| ~ meet(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_1724,plain,
! [X0: $i] :
( join(a2,n0,X0)
| ~ join(r1,e,X0) ),
inference(resolution,[status(thm)],[c_306,c_94]) ).
tcf(c_1988,plain,
! [X0: $i] :
( meet(X0,a2,e)
| ~ meet(X0,r1,n0)
| ~ meet(X0,e,e) ),
inference(resolution,[status(thm)],[c_343,c_94]) ).
tcf(c_2012,plain,
! [X0: $i] :
( meet(X0,b2,r1)
| ~ meet(X0,d,n0)
| ~ meet(X0,r1,r1) ),
inference(resolution,[status(thm)],[c_343,c_167]) ).
tcf(c_2238,plain,
! [X0: $i] :
( meet(X0,a2,e)
| ~ meet(X0,r1,e)
| ~ meet(X0,e,e) ),
inference(resolution,[status(thm)],[c_356,c_94]) ).
tcf(c_2262,plain,
join(a2,n0,a2),
inference(resolution,[status(thm)],[c_1724,c_94]) ).
tcf(c_2290,plain,
join(n0,a2,a2),
inference(resolution,[status(thm)],[c_2262,c_113]) ).
tcf(c_2485,plain,
meet(n1,r1,r1),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_3169,plain,
! [X0: $i] :
( meet(X0,a2,a2)
| ~ meet(r1,X0,r1)
| ~ meet(e,X0,e) ),
inference(resolution,[status(thm)],[c_413,c_94]) ).
tcf(c_3894,plain,
( meet(n1,a2,a2)
| ~ meet(r1,n1,r1) ),
inference(resolution,[status(thm)],[c_3169,c_107]) ).
tcf(c_4426,plain,
! [X0: $i] :
( meet(X0,r1,r1)
| ~ meet(X0,n1,a2) ),
inference(resolution,[status(thm)],[c_208,c_183]) ).
tcf(c_4861,plain,
meet(e,r2,e),
inference(resolution,[status(thm)],[c_220,c_103]) ).
tcf(c_5558,plain,
meet(c2,b,b),
inference(resolution,[status(thm)],[c_456,c_105]) ).
tcf(c_6127,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X2,X1,a2)
| ~ meet(n1,a2,a2)
| ~ meet(X2,X0,n1)
| ~ meet(X0,a2,X1) ),
inference(instantiation,[status(thm)],[c_1231]) ).
tcf(c_6129,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X2,X1,a2)
| ~ meet(X0,a2,X1)
| ~ meet(X2,X0,n1) ),
inference(global_subsumption_just,[status(thm)],[c_6127,c_1177,c_6127]) ).
tcf(c_6130,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X2,X1,a2)
| ~ meet(X2,X0,n1)
| ~ meet(X0,a2,X1) ),
inference(renaming,[status(thm)],[c_6129]) ).
tcf(c_7484,plain,
! [X0: $i] :
( meet(X0,n1,a2)
| ~ meet(n0,X0,n0)
| ~ meet(n1,X0,a2) ),
inference(resolution,[status(thm)],[c_2290,c_407]) ).
tcf(c_9609,plain,
! [X0: $i] :
( meet(d,c2,X0)
| ~ meet(r2,a,X0) ),
inference(resolution,[status(thm)],[c_203,c_93]) ).
tcf(c_9723,plain,
meet(d,c2,d),
inference(resolution,[status(thm)],[c_9609,c_93]) ).
tcf(c_9741,plain,
meet(c2,d,d),
inference(resolution,[status(thm)],[c_9723,c_105]) ).
tcf(c_9870,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X2,d,X1)
| ~ meet(X2,c2,X0)
| ~ meet(X0,d,X1) ),
inference(resolution,[status(thm)],[c_9741,c_101]) ).
tcf(c_9991,plain,
! [X0: $i,X1: $i] :
( meet(a2,X0,r1)
| ~ meet(a2,X1,r1)
| ~ meet(n1,X0,X1) ),
inference(instantiation,[status(thm)],[c_1230]) ).
tcf(c_10126,plain,
! [X0: $i] :
( meet(e,a,X0)
| ~ meet(r2,c,X0) ),
inference(resolution,[status(thm)],[c_226,c_89]) ).
tcf(c_10210,plain,
meet(e,a,n0),
inference(resolution,[status(thm)],[c_10126,c_151]) ).
tcf(c_10803,plain,
meet(n1,a2,a2),
inference(global_subsumption_just,[status(thm)],[c_3894,c_1177]) ).
tcf(c_10806,plain,
! [X0: $i,X1: $i] :
( join(a2,X0,X1)
| ~ meet(n1,a2,X1)
| ~ meet(n1,a2,X0) ),
inference(resolution,[status(thm)],[c_10803,c_382]) ).
tcf(c_18070,plain,
! [X0: $i] :
( meet(e,d,X0)
| ~ meet(e,a,X0) ),
inference(resolution,[status(thm)],[c_4861,c_179]) ).
tcf(c_18141,plain,
meet(e,d,n0),
inference(resolution,[status(thm)],[c_18070,c_10210]) ).
tcf(c_19026,plain,
! [X0: $i] :
( meet(c2,e,X0)
| ~ meet(b,r2,X0) ),
inference(resolution,[status(thm)],[c_5558,c_237]) ).
tcf(c_31059,plain,
meet(c2,e,e),
inference(resolution,[status(thm)],[c_19026,c_152]) ).
tcf(c_31121,plain,
( meet(c2,a2,e)
| ~ meet(c2,r1,e) ),
inference(resolution,[status(thm)],[c_31059,c_2238]) ).
tcf(c_31122,plain,
( meet(c2,a2,e)
| ~ meet(c2,r1,n0) ),
inference(resolution,[status(thm)],[c_31059,c_1988]) ).
tcf(c_31126,plain,
meet(c2,a2,e),
inference(global_subsumption_just,[status(thm)],[c_31121,c_92,c_31122]) ).
tcf(c_31147,plain,
meet(a2,c2,e),
inference(resolution,[status(thm)],[c_31126,c_105]) ).
tcf(c_31354,plain,
! [X0: $i] :
( meet(X0,c2,e)
| ~ meet(X0,n1,a2) ),
inference(resolution,[status(thm)],[c_31147,c_183]) ).
tcf(c_33976,plain,
! [X0: $i] :
( meet(n1,X0,a2)
| ~ meet(n1,n1,n1)
| ~ meet(n1,a2,X0) ),
inference(instantiation,[status(thm)],[c_6130]) ).
tcf(c_40619,plain,
! [X0: $i] :
( meet(X0,d,n0)
| ~ meet(X0,c2,e) ),
inference(resolution,[status(thm)],[c_9870,c_18141]) ).
tcf(c_40625,plain,
! [X0: $i] :
( meet(a2,X0,r1)
| ~ meet(a2,a2,r1)
| ~ meet(n1,X0,a2) ),
inference(instantiation,[status(thm)],[c_9991]) ).
tcf(c_40626,plain,
! [X0: $i] : ~ meet(n1,X0,a2),
inference(global_subsumption_just,[status(thm)],[c_40625,c_117,c_504,c_2012,c_2485,c_4426,c_7484,c_31354,c_40619]) ).
tcf(c_41165,plain,
! [X0: $i] : ~ meet(n1,a2,X0),
inference(global_subsumption_just,[status(thm)],[c_10806,c_132,c_33976,c_40626]) ).
tcf(c_41167,plain,
$false,
inference(resolution,[status(thm)],[c_41165,c_109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT005-6 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/0.44 % Computer : n010.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Wed Sep 23 19:59:57 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.25/0.51 Running first-order theorem proving
% 0.25/0.51 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
% 0.25/0.53
% 0.25/0.53 % ======== iProver multi-core TPTP/SMT =========
% 0.25/0.53
% 0.25/0.53 % Detected problem language: tptp
% 0.25/0.54 % Proving...
% 26.29/4.40 % SZS status Started for theBenchmark.p
% 26.29/4.40 % SZS status Unsatisfiable for theBenchmark.p
% 26.29/4.40
% 26.29/4.40 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 26.29/4.40
% 26.29/4.40 % ------ iProver source info
% 26.29/4.40
% 26.29/4.40 % git: date: 2026-07-19 20:42:38 +0200
% 26.29/4.40 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 26.29/4.40 % git: non_committed_changes: false
% 26.29/4.40
% 26.29/4.40 % ------ Parsing...% successful
% 26.29/4.40
% 26.29/4.40
% 26.29/4.40 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 26.29/4.40 %
% 26.29/4.40
% 26.29/4.40 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 26.29/4.40
% 26.29/4.40 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 26.29/4.40 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 26.29/4.40 % ------ Proving...
% 26.29/4.40 % ------ Problem Properties
% 26.29/4.40
% 26.29/4.40 %
% 26.29/4.40 % clauses 33
% 26.29/4.40 % conjectures 11
% 26.29/4.40 % EPR 33
% 26.29/4.40 % Horn 33
% 26.29/4.40 % unary 21
% 26.29/4.40 % binary 4
% 26.29/4.40 % lits 65
% 26.29/4.40 % lits eq 0
% 26.29/4.40 % fd_pure 0
% 26.29/4.40 % fd_pseudo 0
% 26.29/4.40 % fd_cond 0
% 26.29/4.40 % fd_pseudo_cond 0
% 26.29/4.40 % AC symbols 0
% 26.29/4.40
% 26.29/4.40 % ------ Schedule EPR Horn non eq is on
% 26.29/4.40
% 26.29/4.40 % ------ no equalities: superposition off
% 26.29/4.40
% 26.29/4.40 % ------ Option_epr_horn Time Limit: Unbounded
% 26.29/4.40
% 26.29/4.40
% 26.29/4.40 % ------
% 26.29/4.40 % Current options:
% 26.29/4.40 % ------
% 26.29/4.40
% 26.29/4.40
% 26.29/4.40 %
% 26.29/4.40
% 26.29/4.40 % ------ Proving...
% 26.29/4.40 %
% 26.29/4.40
% 26.29/4.40 % SZS status Unsatisfiable for theBenchmark.p
% 26.29/4.40
% 26.29/4.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 26.29/4.40
% 26.29/4.40
%------------------------------------------------------------------------------