%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT007-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n002.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 2.71s 3.73s
% Output : CNFRefutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 7
% Syntax : Number of formulae : 195 ( 195 unt; 4 def)
% Number of atoms : 667 ( 194 equ)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 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 : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 126 ( 0 sgn 126 !; 0 ?; 121 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption) ).
fof(f2,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X2,X0),meet(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribution) ).
fof(f3,negated_conjecture,
join(join(a,b),c) != join(a,join(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_associativity_of_join) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X2,X1)) = meet(X1,join(X2,X0)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,negated_conjecture,
join(join(a,b),c) != join(a,join(b,c)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_67,definition,
iPr_def_10 = join(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_68,definition,
iPr_def_11 = join(iPr_def_10,c),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_69,definition,
iPr_def_12 = join(b,c),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_70,definition,
iPr_def_13 = join(a,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_71,negated_conjecture,
iPr_def_11 != iPr_def_13,
inference(demodulation,[status(thm)],[c_54,c_69,c_70,c_67,c_68]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X2,X1)) = meet(X1,join(X2,X0)),
inference(demodulation,[status(thm)],[c_53]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] : meet(X0,join(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_113,plain,
meet(a,iPr_def_10) = a,
inference(superposition,[status(thm)],[c_67,c_73]) ).
tcf(c_114,plain,
meet(b,iPr_def_12) = b,
inference(superposition,[status(thm)],[c_69,c_73]) ).
tcf(c_115,plain,
meet(iPr_def_10,iPr_def_11) = iPr_def_10,
inference(superposition,[status(thm)],[c_68,c_73]) ).
tcf(c_116,plain,
meet(a,iPr_def_13) = a,
inference(superposition,[status(thm)],[c_70,c_73]) ).
tcf(c_122,plain,
! [X0: $i] : join(a,meet(X0,iPr_def_10)) = meet(iPr_def_10,join(X0,a)),
inference(superposition,[status(thm)],[c_113,c_72]) ).
tcf(c_123,plain,
! [X0: $i] : join(b,meet(X0,iPr_def_12)) = meet(iPr_def_12,join(X0,b)),
inference(superposition,[status(thm)],[c_114,c_72]) ).
tcf(c_124,plain,
! [X0: $i] : join(iPr_def_10,meet(X0,iPr_def_11)) = meet(iPr_def_11,join(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_115,c_72]) ).
tcf(c_125,plain,
! [X0: $i] : join(a,meet(X0,iPr_def_13)) = meet(iPr_def_13,join(X0,a)),
inference(superposition,[status(thm)],[c_116,c_72]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,join(X1,X2)),X1) = meet(join(X1,X2),join(X1,X0)),
inference(superposition,[status(thm)],[c_73,c_72]) ).
tcf(c_127,plain,
! [X0: $i] : join(meet(X0,iPr_def_10),a) = meet(iPr_def_10,join(a,X0)),
inference(superposition,[status(thm)],[c_113,c_72]) ).
tcf(c_128,plain,
! [X0: $i] : join(meet(X0,iPr_def_12),b) = meet(iPr_def_12,join(b,X0)),
inference(superposition,[status(thm)],[c_114,c_72]) ).
tcf(c_129,plain,
! [X0: $i] : join(meet(X0,iPr_def_11),iPr_def_10) = meet(iPr_def_11,join(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_115,c_72]) ).
tcf(c_130,plain,
! [X0: $i] : join(meet(X0,iPr_def_13),a) = meet(iPr_def_13,join(a,X0)),
inference(superposition,[status(thm)],[c_116,c_72]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,X1),meet(X1,join(X2,X0))) = meet(X0,X1),
inference(superposition,[status(thm)],[c_72,c_73]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i] : join(join(a,meet(X0,iPr_def_10)),meet(X1,join(X0,a))) = meet(join(X0,a),join(X1,iPr_def_10)),
inference(superposition,[status(thm)],[c_122,c_72]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i] : join(meet(X0,join(X1,a)),join(a,meet(X1,iPr_def_10))) = meet(join(X1,a),join(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_122,c_72]) ).
tcf(c_157,plain,
join(b,meet(iPr_def_12,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_123,c_73]) ).
tcf(c_174,plain,
join(iPr_def_10,meet(iPr_def_11,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_73,c_124]) ).
tcf(c_185,plain,
join(a,meet(iPr_def_13,iPr_def_13)) = iPr_def_13,
inference(superposition,[status(thm)],[c_73,c_125]) ).
tcf(c_197,plain,
join(meet(b,iPr_def_10),a) = meet(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_67,c_127]) ).
tcf(c_198,plain,
join(meet(iPr_def_12,iPr_def_10),a) = meet(iPr_def_10,iPr_def_13),
inference(superposition,[status(thm)],[c_70,c_127]) ).
tcf(c_214,plain,
join(a,meet(meet(b,iPr_def_10),iPr_def_10)) = meet(iPr_def_10,meet(iPr_def_10,iPr_def_10)),
inference(superposition,[status(thm)],[c_197,c_122]) ).
tcf(c_220,plain,
join(a,meet(meet(iPr_def_12,iPr_def_10),iPr_def_10)) = meet(iPr_def_10,meet(iPr_def_10,iPr_def_13)),
inference(superposition,[status(thm)],[c_198,c_122]) ).
tcf(c_226,plain,
join(meet(c,iPr_def_12),b) = meet(iPr_def_12,iPr_def_12),
inference(superposition,[status(thm)],[c_69,c_128]) ).
tcf(c_228,plain,
join(meet(meet(iPr_def_12,iPr_def_12),iPr_def_12),b) = meet(iPr_def_12,iPr_def_12),
inference(superposition,[status(thm)],[c_157,c_128]) ).
tcf(c_240,plain,
join(b,meet(meet(c,iPr_def_12),iPr_def_12)) = meet(iPr_def_12,meet(iPr_def_12,iPr_def_12)),
inference(superposition,[status(thm)],[c_226,c_123]) ).
tcf(c_245,plain,
join(meet(c,iPr_def_11),iPr_def_10) = meet(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_68,c_129]) ).
tcf(c_246,plain,
join(meet(meet(iPr_def_11,iPr_def_11),iPr_def_11),iPr_def_10) = meet(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_174,c_129]) ).
tcf(c_257,plain,
join(iPr_def_10,meet(meet(c,iPr_def_11),iPr_def_11)) = meet(iPr_def_11,meet(iPr_def_11,iPr_def_11)),
inference(superposition,[status(thm)],[c_245,c_124]) ).
tcf(c_263,plain,
join(meet(iPr_def_12,iPr_def_13),a) = meet(iPr_def_13,iPr_def_13),
inference(superposition,[status(thm)],[c_70,c_130]) ).
tcf(c_265,plain,
join(meet(meet(iPr_def_13,iPr_def_13),iPr_def_13),a) = meet(iPr_def_13,iPr_def_13),
inference(superposition,[status(thm)],[c_185,c_130]) ).
tcf(c_284,plain,
join(a,meet(meet(iPr_def_12,iPr_def_13),iPr_def_13)) = meet(iPr_def_13,meet(iPr_def_13,iPr_def_13)),
inference(superposition,[status(thm)],[c_263,c_125]) ).
tcf(c_285,plain,
join(a,meet(meet(iPr_def_12,iPr_def_13),iPr_def_10)) = meet(iPr_def_10,meet(iPr_def_13,iPr_def_13)),
inference(superposition,[status(thm)],[c_263,c_122]) ).
tcf(c_526,plain,
! [X0: $i,X1: $i] : meet(meet(X0,X1),X1) = meet(X0,X1),
inference(superposition,[status(thm)],[c_73,c_131]) ).
tcf(c_580,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X2,X1)) = meet(X1,join(X2,meet(X0,X1))),
inference(superposition,[status(thm)],[c_526,c_72]) ).
tcf(c_581,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X2,X1)) = meet(X1,join(meet(X2,X1),X0)),
inference(superposition,[status(thm)],[c_526,c_72]) ).
tcf(c_583,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(meet(X1,X0),X2)) = meet(X0,join(X1,X2)),
inference(demodulation,[status(thm)],[c_581,c_72]) ).
tcf(c_584,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,meet(X2,X0))) = meet(X0,join(X1,X2)),
inference(demodulation,[status(thm)],[c_580,c_72]) ).
tcf(c_2170,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,meet(X2,X0))) = meet(X0,meet(X0,join(X2,X1))),
inference(superposition,[status(thm)],[c_72,c_583]) ).
tcf(c_2231,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(X0,join(X1,X2))) = meet(X0,join(X2,X1)),
inference(demodulation,[status(thm)],[c_2170,c_584]) ).
tcf(c_6152,plain,
meet(a,iPr_def_10) = a,
inference(superposition,[status(thm)],[c_67,c_73]) ).
tcf(c_6153,plain,
meet(b,iPr_def_12) = b,
inference(superposition,[status(thm)],[c_69,c_73]) ).
tcf(c_6154,plain,
meet(iPr_def_10,iPr_def_11) = iPr_def_10,
inference(superposition,[status(thm)],[c_68,c_73]) ).
tcf(c_6155,plain,
meet(a,iPr_def_13) = a,
inference(superposition,[status(thm)],[c_70,c_73]) ).
tcf(c_6161,plain,
! [X0: $i] : join(a,meet(X0,iPr_def_10)) = meet(iPr_def_10,join(X0,a)),
inference(superposition,[status(thm)],[c_6152,c_72]) ).
tcf(c_6162,plain,
! [X0: $i] : join(b,meet(X0,iPr_def_12)) = meet(iPr_def_12,join(X0,b)),
inference(superposition,[status(thm)],[c_6153,c_72]) ).
tcf(c_6163,plain,
! [X0: $i] : join(iPr_def_10,meet(X0,iPr_def_11)) = meet(iPr_def_11,join(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_6154,c_72]) ).
tcf(c_6164,plain,
! [X0: $i] : join(a,meet(X0,iPr_def_13)) = meet(iPr_def_13,join(X0,a)),
inference(superposition,[status(thm)],[c_6155,c_72]) ).
tcf(c_6170,plain,
! [X0: $i] : join(meet(X0,iPr_def_10),a) = meet(iPr_def_10,join(a,X0)),
inference(superposition,[status(thm)],[c_6152,c_72]) ).
tcf(c_6173,plain,
! [X0: $i] : join(meet(X0,iPr_def_13),a) = meet(iPr_def_13,join(a,X0)),
inference(superposition,[status(thm)],[c_6155,c_72]) ).
tcf(c_6182,plain,
join(a,meet(iPr_def_10,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_6161,c_73]) ).
tcf(c_6189,plain,
join(b,meet(iPr_def_12,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_6162,c_73]) ).
tcf(c_6198,plain,
join(iPr_def_10,meet(iPr_def_11,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_6163,c_73]) ).
tcf(c_6205,plain,
join(a,meet(iPr_def_13,iPr_def_13)) = iPr_def_13,
inference(superposition,[status(thm)],[c_6164,c_73]) ).
tcf(c_6211,plain,
join(meet(iPr_def_12,iPr_def_10),a) = meet(iPr_def_10,iPr_def_13),
inference(superposition,[status(thm)],[c_70,c_6170]) ).
tcf(c_6212,plain,
join(meet(meet(iPr_def_10,iPr_def_10),iPr_def_10),a) = meet(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_6182,c_6170]) ).
tcf(c_6241,plain,
join(meet(b,iPr_def_13),a) = meet(iPr_def_13,iPr_def_10),
inference(superposition,[status(thm)],[c_67,c_6173]) ).
tcf(c_6242,plain,
join(meet(iPr_def_12,iPr_def_13),a) = meet(iPr_def_13,iPr_def_13),
inference(superposition,[status(thm)],[c_70,c_6173]) ).
tcf(c_6285,plain,
! [X0: $i,X1: $i] : meet(meet(X0,X1),X1) = meet(X0,X1),
inference(superposition,[status(thm)],[c_73,c_131]) ).
tcf(c_6294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : meet(meet(meet(X0,X1),X2),meet(X2,meet(X1,join(X0,X3)))) = meet(meet(X0,X1),X2),
inference(superposition,[status(thm)],[c_72,c_131]) ).
tcf(c_6298,plain,
! [X0: $i] : meet(meet(iPr_def_12,X0),meet(X0,iPr_def_13)) = meet(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_70,c_131]) ).
tcf(c_6319,plain,
join(meet(iPr_def_10,iPr_def_10),a) = meet(iPr_def_10,iPr_def_10),
inference(demodulation,[status(thm)],[c_6212,c_6285]) ).
tcf(c_6320,plain,
join(meet(iPr_def_11,iPr_def_11),iPr_def_10) = meet(iPr_def_11,iPr_def_11),
inference(demodulation,[status(thm)],[c_246,c_6285]) ).
tcf(c_6321,plain,
join(meet(iPr_def_12,iPr_def_12),b) = meet(iPr_def_12,iPr_def_12),
inference(demodulation,[status(thm)],[c_228,c_6285]) ).
tcf(c_6322,plain,
join(meet(iPr_def_13,iPr_def_13),a) = meet(iPr_def_13,iPr_def_13),
inference(demodulation,[status(thm)],[c_265,c_6285]) ).
tcf(c_6351,plain,
join(a,meet(meet(iPr_def_10,iPr_def_10),iPr_def_10)) = meet(iPr_def_10,meet(iPr_def_10,iPr_def_10)),
inference(superposition,[status(thm)],[c_6319,c_6161]) ).
tcf(c_6352,plain,
meet(iPr_def_10,meet(iPr_def_10,iPr_def_10)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_6351,c_6182,c_6285]) ).
tcf(c_6358,plain,
join(iPr_def_10,meet(meet(iPr_def_11,iPr_def_11),iPr_def_11)) = meet(iPr_def_11,meet(iPr_def_11,iPr_def_11)),
inference(superposition,[status(thm)],[c_6320,c_6163]) ).
tcf(c_6359,plain,
meet(iPr_def_11,meet(iPr_def_11,iPr_def_11)) = iPr_def_11,
inference(demodulation,[status(thm)],[c_6358,c_6198,c_6285]) ).
tcf(c_6365,plain,
join(b,meet(meet(iPr_def_12,iPr_def_12),iPr_def_12)) = meet(iPr_def_12,meet(iPr_def_12,iPr_def_12)),
inference(superposition,[status(thm)],[c_6321,c_6162]) ).
tcf(c_6366,plain,
meet(iPr_def_12,meet(iPr_def_12,iPr_def_12)) = iPr_def_12,
inference(demodulation,[status(thm)],[c_6365,c_6189,c_6285]) ).
tcf(c_6372,plain,
join(a,meet(meet(iPr_def_13,iPr_def_13),iPr_def_13)) = meet(iPr_def_13,meet(iPr_def_13,iPr_def_13)),
inference(superposition,[status(thm)],[c_6322,c_6164]) ).
tcf(c_6374,plain,
meet(iPr_def_13,meet(iPr_def_13,iPr_def_13)) = iPr_def_13,
inference(demodulation,[status(thm)],[c_6372,c_6205,c_6285]) ).
tcf(c_6470,plain,
join(a,meet(meet(b,iPr_def_10),iPr_def_10)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_214,c_6352]) ).
tcf(c_6471,plain,
join(a,meet(b,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_6285,c_6470]) ).
tcf(c_6499,plain,
join(a,meet(iPr_def_12,iPr_def_10)) = meet(iPr_def_10,meet(iPr_def_10,iPr_def_13)),
inference(superposition,[status(thm)],[c_6285,c_220]) ).
tcf(c_6526,plain,
join(b,meet(meet(c,iPr_def_12),iPr_def_12)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_240,c_6366]) ).
tcf(c_6527,plain,
join(b,meet(c,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_6285,c_6526]) ).
tcf(c_6537,plain,
join(iPr_def_10,meet(meet(c,iPr_def_11),iPr_def_11)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_257,c_6359]) ).
tcf(c_6538,plain,
join(iPr_def_10,meet(c,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_6285,c_6537]) ).
tcf(c_6575,plain,
join(a,meet(meet(iPr_def_12,iPr_def_13),iPr_def_13)) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_284,c_6374]) ).
tcf(c_6576,plain,
join(a,meet(iPr_def_12,iPr_def_13)) = iPr_def_13,
inference(superposition,[status(thm)],[c_6285,c_6575]) ).
tcf(c_6580,plain,
join(meet(meet(meet(iPr_def_12,iPr_def_13),iPr_def_13),iPr_def_10),a) = meet(iPr_def_10,iPr_def_13),
inference(superposition,[status(thm)],[c_6575,c_6170]) ).
tcf(c_6581,plain,
join(meet(meet(iPr_def_12,iPr_def_13),iPr_def_10),a) = meet(iPr_def_10,iPr_def_13),
inference(demodulation,[status(thm)],[c_6580,c_6285]) ).
tcf(c_6590,plain,
join(a,meet(meet(meet(iPr_def_12,iPr_def_13),iPr_def_10),iPr_def_10)) = meet(iPr_def_10,meet(iPr_def_10,iPr_def_13)),
inference(superposition,[status(thm)],[c_6581,c_6161]) ).
tcf(c_6591,plain,
join(a,meet(iPr_def_12,iPr_def_10)) = meet(iPr_def_10,meet(iPr_def_13,iPr_def_13)),
inference(demodulation,[status(thm)],[c_6590,c_285,c_6285,c_6499]) ).
tcf(c_6594,plain,
! [X0: $i] : join(join(a,meet(iPr_def_12,iPr_def_10)),meet(X0,meet(iPr_def_13,iPr_def_13))) = meet(meet(iPr_def_13,iPr_def_13),join(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_6591,c_72]) ).
tcf(c_6603,plain,
! [X0: $i,X1: $i] : meet(X0,join(X1,X0)) = meet(X0,X0),
inference(superposition,[status(thm)],[c_73,c_2231]) ).
tcf(c_6616,plain,
! [X0: $i] : meet(X0,meet(X0,iPr_def_11)) = meet(X0,join(c,iPr_def_10)),
inference(superposition,[status(thm)],[c_68,c_2231]) ).
tcf(c_6617,plain,
! [X0: $i] : meet(X0,meet(X0,iPr_def_13)) = meet(X0,join(iPr_def_12,a)),
inference(superposition,[status(thm)],[c_70,c_2231]) ).
tcf(c_6646,plain,
! [X0: $i] : meet(X0,join(meet(iPr_def_12,iPr_def_13),a)) = meet(X0,meet(X0,iPr_def_13)),
inference(superposition,[status(thm)],[c_6576,c_2231]) ).
tcf(c_6656,plain,
! [X0: $i] : meet(X0,join(meet(iPr_def_12,iPr_def_13),a)) = meet(X0,join(iPr_def_12,a)),
inference(demodulation,[status(thm)],[c_6646,c_6617]) ).
tcf(c_6657,plain,
! [X0: $i] : meet(X0,join(iPr_def_12,a)) = meet(X0,meet(iPr_def_13,iPr_def_13)),
inference(demodulation,[status(thm)],[c_6656,c_6242]) ).
tcf(c_6714,plain,
meet(b,b) = meet(b,iPr_def_10),
inference(superposition,[status(thm)],[c_67,c_6603]) ).
tcf(c_6715,plain,
meet(c,c) = meet(c,iPr_def_12),
inference(superposition,[status(thm)],[c_69,c_6603]) ).
tcf(c_6716,plain,
meet(c,c) = meet(c,iPr_def_11),
inference(superposition,[status(thm)],[c_68,c_6603]) ).
tcf(c_6717,plain,
meet(iPr_def_12,iPr_def_12) = meet(iPr_def_12,iPr_def_13),
inference(superposition,[status(thm)],[c_70,c_6603]) ).
tcf(c_6747,plain,
meet(a,meet(iPr_def_10,iPr_def_13)) = meet(a,a),
inference(superposition,[status(thm)],[c_6581,c_6603]) ).
tcf(c_6748,plain,
! [X0: $i] : meet(X0,X0) = X0,
inference(superposition,[status(thm)],[c_6603,c_73]) ).
tcf(c_6763,plain,
meet(iPr_def_12,iPr_def_13) = iPr_def_12,
inference(demodulation,[status(thm)],[c_6717,c_6748]) ).
tcf(c_6764,plain,
meet(c,iPr_def_11) = c,
inference(demodulation,[status(thm)],[c_6716,c_6748]) ).
tcf(c_6765,plain,
meet(c,iPr_def_12) = c,
inference(demodulation,[status(thm)],[c_6715,c_6748]) ).
tcf(c_6766,plain,
meet(b,iPr_def_10) = b,
inference(demodulation,[status(thm)],[c_6714,c_6748]) ).
tcf(c_6767,plain,
meet(a,meet(iPr_def_10,iPr_def_13)) = a,
inference(demodulation,[status(thm)],[c_6747,c_6748]) ).
tcf(c_6789,plain,
! [X0: $i,X1: $i] : meet(X0,join(X1,X0)) = X0,
inference(demodulation,[status(thm)],[c_6603,c_6748]) ).
tcf(c_6796,plain,
join(iPr_def_10,iPr_def_11) = iPr_def_11,
inference(demodulation,[status(thm)],[c_6198,c_6748]) ).
tcf(c_6801,plain,
join(iPr_def_13,a) = iPr_def_13,
inference(demodulation,[status(thm)],[c_6322,c_6748]) ).
tcf(c_6803,plain,
join(meet(iPr_def_12,iPr_def_13),a) = iPr_def_13,
inference(demodulation,[status(thm)],[c_6242,c_6748]) ).
tcf(c_6805,plain,
join(iPr_def_12,a) = iPr_def_13,
inference(demodulation,[status(thm)],[c_6803,c_6763]) ).
tcf(c_6813,plain,
join(iPr_def_10,c) = iPr_def_11,
inference(demodulation,[status(thm)],[c_6538,c_6764]) ).
tcf(c_6815,plain,
join(b,c) = iPr_def_12,
inference(demodulation,[status(thm)],[c_6527,c_6765]) ).
tcf(c_6818,plain,
join(a,b) = iPr_def_10,
inference(demodulation,[status(thm)],[c_6471,c_6766]) ).
tcf(c_6823,plain,
! [X0: $i,X1: $i] : join(X0,meet(X1,X0)) = meet(X0,join(X1,X0)),
inference(superposition,[status(thm)],[c_6748,c_72]) ).
tcf(c_6824,plain,
! [X0: $i,X1: $i] : join(meet(X0,X1),X1) = meet(X1,join(X1,X0)),
inference(superposition,[status(thm)],[c_6748,c_72]) ).
tcf(c_6834,plain,
! [X0: $i,X1: $i] : join(meet(X0,X1),X1) = X1,
inference(demodulation,[status(thm)],[c_6824,c_73]) ).
tcf(c_6835,plain,
! [X0: $i,X1: $i] : join(X0,meet(X1,X0)) = X0,
inference(demodulation,[status(thm)],[c_6823,c_6789]) ).
tcf(c_6842,plain,
! [X0: $i] : join(c,meet(X0,iPr_def_11)) = meet(iPr_def_11,join(X0,c)),
inference(superposition,[status(thm)],[c_6764,c_72]) ).
tcf(c_6931,plain,
! [X0: $i,X1: $i] : join(meet(X0,join(X1,X0)),X1) = join(X1,X0),
inference(superposition,[status(thm)],[c_126,c_6748]) ).
tcf(c_6932,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(demodulation,[status(thm)],[c_6931,c_6789]) ).
tcf(c_6957,plain,
join(a,meet(iPr_def_12,iPr_def_10)) = meet(iPr_def_10,iPr_def_13),
inference(demodulation,[status(thm)],[c_6211,c_6932]) ).
tcf(c_6958,plain,
join(a,meet(b,iPr_def_13)) = meet(iPr_def_13,iPr_def_10),
inference(demodulation,[status(thm)],[c_6241,c_6932]) ).
tcf(c_7122,plain,
! [X0: $i,X1: $i] : meet(meet(meet(X0,X0),X1),meet(X1,X0)) = meet(meet(X0,X0),X1),
inference(superposition,[status(thm)],[c_73,c_6294]) ).
tcf(c_7147,plain,
! [X0: $i,X1: $i] : meet(meet(X0,X1),meet(X1,X0)) = meet(X0,X1),
inference(demodulation,[status(thm)],[c_7122,c_6748]) ).
tcf(c_7338,plain,
join(a,meet(iPr_def_13,iPr_def_10)) = meet(iPr_def_10,iPr_def_13),
inference(superposition,[status(thm)],[c_6801,c_6161]) ).
tcf(c_7524,plain,
join(b,iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_6766,c_6834]) ).
tcf(c_7545,plain,
join(a,meet(iPr_def_10,iPr_def_13)) = meet(iPr_def_10,iPr_def_13),
inference(superposition,[status(thm)],[c_6767,c_6834]) ).
tcf(c_7548,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_6748,c_6834]) ).
tcf(c_7551,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,meet(X2,X1))) = meet(X0,meet(X0,X1)),
inference(superposition,[status(thm)],[c_6834,c_2231]) ).
tcf(c_7570,plain,
join(iPr_def_10,b) = iPr_def_10,
inference(demodulation,[status(thm)],[c_7524,c_6932]) ).
tcf(c_7572,plain,
! [X0: $i,X1: $i] : meet(X0,meet(X0,X1)) = meet(X0,X1),
inference(demodulation,[status(thm)],[c_7551,c_6835]) ).
tcf(c_7589,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(demodulation,[status(thm)],[c_2231,c_7572]) ).
tcf(c_7602,plain,
! [X0: $i,X1: $i] : meet(X0,join(X1,X1)) = meet(X1,X0),
inference(superposition,[status(thm)],[c_7548,c_72]) ).
tcf(c_7609,plain,
join(a,meet(a,iPr_def_10)) = meet(iPr_def_10,a),
inference(superposition,[status(thm)],[c_7548,c_6161]) ).
tcf(c_7611,plain,
join(b,meet(b,iPr_def_12)) = meet(iPr_def_12,b),
inference(superposition,[status(thm)],[c_7548,c_6162]) ).
tcf(c_7614,plain,
! [X0: $i] : join(meet(X0,a),join(a,meet(a,iPr_def_10))) = meet(a,join(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_7548,c_147]) ).
tcf(c_7627,plain,
meet(iPr_def_12,b) = b,
inference(demodulation,[status(thm)],[c_7611,c_6153,c_7548]) ).
tcf(c_7628,plain,
meet(iPr_def_10,a) = a,
inference(demodulation,[status(thm)],[c_7609,c_6152,c_7548]) ).
tcf(c_7630,plain,
! [X0: $i,X1: $i] : meet(X0,X1) = meet(X1,X0),
inference(demodulation,[status(thm)],[c_7602,c_7548]) ).
tcf(c_7634,plain,
! [X0: $i] : join(meet(X0,a),a) = meet(a,join(iPr_def_10,X0)),
inference(demodulation,[status(thm)],[c_7614,c_7548,c_7628,c_7630]) ).
tcf(c_7635,plain,
! [X0: $i] : meet(a,join(iPr_def_10,X0)) = a,
inference(demodulation,[status(thm)],[c_7634,c_6834]) ).
tcf(c_7647,plain,
meet(iPr_def_10,b) = b,
inference(demodulation,[status(thm)],[c_6766,c_7630]) ).
tcf(c_7650,plain,
meet(iPr_def_12,c) = c,
inference(demodulation,[status(thm)],[c_6765,c_7630]) ).
tcf(c_7686,plain,
join(b,meet(iPr_def_10,iPr_def_12)) = meet(iPr_def_12,iPr_def_10),
inference(superposition,[status(thm)],[c_7570,c_6162]) ).
tcf(c_7690,plain,
join(b,meet(iPr_def_10,iPr_def_12)) = meet(iPr_def_10,iPr_def_12),
inference(demodulation,[status(thm)],[c_7686,c_7630]) ).
tcf(c_7715,plain,
! [X0: $i] : join(meet(X0,b),b) = meet(b,join(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_7627,c_72]) ).
tcf(c_7716,plain,
meet(b,meet(b,iPr_def_13)) = b,
inference(superposition,[status(thm)],[c_7627,c_6298]) ).
tcf(c_7718,plain,
meet(iPr_def_13,b) = b,
inference(demodulation,[status(thm)],[c_7716,c_6617,c_6805,c_7630]) ).
tcf(c_7720,plain,
! [X0: $i] : meet(b,join(iPr_def_12,X0)) = b,
inference(demodulation,[status(thm)],[c_7715,c_6834]) ).
tcf(c_7750,plain,
! [X0: $i] : join(meet(X0,b),b) = meet(b,join(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_7647,c_72]) ).
tcf(c_7753,plain,
! [X0: $i] : meet(b,join(iPr_def_10,X0)) = b,
inference(demodulation,[status(thm)],[c_7750,c_6834]) ).
tcf(c_7777,plain,
meet(c,meet(c,iPr_def_13)) = c,
inference(superposition,[status(thm)],[c_7650,c_6298]) ).
tcf(c_7779,plain,
meet(iPr_def_13,c) = c,
inference(demodulation,[status(thm)],[c_7777,c_6617,c_6805,c_7630]) ).
tcf(c_7791,plain,
! [X0: $i] : join(meet(X0,b),b) = meet(b,join(iPr_def_13,X0)),
inference(superposition,[status(thm)],[c_7718,c_72]) ).
tcf(c_7794,plain,
! [X0: $i] : meet(b,join(iPr_def_13,X0)) = b,
inference(demodulation,[status(thm)],[c_7791,c_6834]) ).
tcf(c_7971,plain,
! [X0: $i,X1: $i] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_7630,c_6835]) ).
tcf(c_8018,plain,
! [X0: $i,X1: $i] : join(a,meet(X0,join(iPr_def_10,X1))) = meet(join(iPr_def_10,X1),join(X0,a)),
inference(superposition,[status(thm)],[c_7635,c_72]) ).
tcf(c_8142,plain,
join(join(a,meet(iPr_def_12,iPr_def_10)),b) = meet(join(iPr_def_12,a),join(b,iPr_def_10)),
inference(superposition,[status(thm)],[c_7720,c_146]) ).
tcf(c_8149,plain,
join(a,meet(iPr_def_10,iPr_def_12)) = join(b,meet(iPr_def_10,iPr_def_13)),
inference(demodulation,[status(thm)],[c_8142,c_6162,c_6932,c_6957,c_7589,c_7630,c_7690,c_8018]) ).
tcf(c_8216,plain,
meet(b,iPr_def_11) = b,
inference(superposition,[status(thm)],[c_6796,c_7753]) ).
tcf(c_8230,plain,
meet(iPr_def_11,b) = b,
inference(demodulation,[status(thm)],[c_8216,c_7630]) ).
tcf(c_8371,plain,
join(join(a,meet(iPr_def_13,iPr_def_10)),b) = meet(join(iPr_def_13,a),join(b,iPr_def_10)),
inference(superposition,[status(thm)],[c_7794,c_146]) ).
tcf(c_8377,plain,
join(a,meet(iPr_def_10,iPr_def_12)) = meet(iPr_def_10,iPr_def_13),
inference(demodulation,[status(thm)],[c_8371,c_6932,c_7338,c_7545,c_7570,c_7589,c_7630,c_8018,c_8149]) ).
tcf(c_8460,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_10,meet(X0,iPr_def_11))) = iPr_def_11,
inference(superposition,[status(thm)],[c_6163,c_7971]) ).
tcf(c_8897,plain,
join(a,meet(iPr_def_13,b)) = meet(iPr_def_13,iPr_def_10),
inference(superposition,[status(thm)],[c_7630,c_6958]) ).
tcf(c_8908,plain,
meet(iPr_def_10,iPr_def_13) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8897,c_6818,c_7630,c_7718]) ).
tcf(c_8924,plain,
! [X0: $i] : join(iPr_def_10,meet(X0,iPr_def_13)) = meet(iPr_def_13,join(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_8908,c_72]) ).
tcf(c_10281,plain,
join(a,meet(iPr_def_10,iPr_def_12)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8377,c_8908]) ).
tcf(c_10498,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_10,meet(iPr_def_11,X0))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7630,c_8460]) ).
tcf(c_13784,plain,
! [X0: $i] : join(join(a,meet(iPr_def_12,iPr_def_10)),meet(X0,iPr_def_13)) = meet(meet(iPr_def_13,iPr_def_13),join(X0,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_6594,c_6657,c_6805]) ).
tcf(c_13790,plain,
! [X0: $i] : join(join(a,meet(iPr_def_12,iPr_def_10)),meet(iPr_def_13,X0)) = meet(meet(iPr_def_13,iPr_def_13),join(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_7630,c_13784]) ).
tcf(c_13793,plain,
join(join(a,meet(iPr_def_12,iPr_def_10)),iPr_def_12) = meet(meet(iPr_def_13,iPr_def_13),join(iPr_def_12,iPr_def_10)),
inference(superposition,[status(thm)],[c_6763,c_13784]) ).
tcf(c_13809,plain,
join(iPr_def_10,iPr_def_12) = iPr_def_13,
inference(demodulation,[status(thm)],[c_13793,c_6657,c_6789,c_6805,c_6932,c_7589,c_7630,c_8018,c_10281]) ).
tcf(c_13810,plain,
! [X0: $i] : join(iPr_def_10,meet(X0,iPr_def_13)) = join(iPr_def_10,meet(iPr_def_13,X0)),
inference(demodulation,[status(thm)],[c_13790,c_6748,c_7630,c_8924,c_10281]) ).
tcf(c_16169,plain,
join(c,meet(b,iPr_def_11)) = meet(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_6815,c_6842]) ).
tcf(c_16199,plain,
meet(iPr_def_11,iPr_def_12) = iPr_def_12,
inference(demodulation,[status(thm)],[c_16169,c_6815,c_6932,c_7630,c_8230]) ).
tcf(c_16227,plain,
join(iPr_def_11,join(iPr_def_10,iPr_def_12)) = iPr_def_11,
inference(superposition,[status(thm)],[c_16199,c_10498]) ).
tcf(c_16228,plain,
join(iPr_def_11,iPr_def_13) = iPr_def_11,
inference(demodulation,[status(thm)],[c_16227,c_13809]) ).
tcf(c_16335,plain,
meet(iPr_def_13,iPr_def_11) = iPr_def_13,
inference(superposition,[status(thm)],[c_16228,c_6789]) ).
tcf(c_16362,plain,
meet(iPr_def_11,iPr_def_13) = iPr_def_13,
inference(demodulation,[status(thm)],[c_16335,c_7630]) ).
tcf(c_19167,plain,
meet(iPr_def_13,meet(iPr_def_13,iPr_def_11)) = iPr_def_13,
inference(superposition,[status(thm)],[c_16362,c_7147]) ).
tcf(c_19383,plain,
iPr_def_11 = iPr_def_13,
inference(demodulation,[status(thm)],[c_19167,c_6616,c_6813,c_7779,c_8924,c_13810]) ).
tcf(c_19384,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_19383,c_71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT007-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n002.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 20:02:03 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.39 Running UEQ theorem proving
% 0.11/0.39 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
% 0.11/0.40
% 0.11/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.40
% 0.11/0.40 % Detected problem language: tptp
% 0.11/0.42 % Proving...
% 2.71/3.73 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.71/3.73 % SZS status Started for theBenchmark.p
% 2.71/3.73 % SZS status Unsatisfiable for theBenchmark.p
% 2.71/3.73
% 2.71/3.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.71/3.73
% 2.71/3.73 % ------ iProver source info
% 2.71/3.73
% 2.71/3.73 % git: date: 2026-07-19 20:42:38 +0200
% 2.71/3.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.71/3.73 % git: non_committed_changes: false
% 2.71/3.73
% 2.71/3.73 % ------ Parsing...% successful
% 2.71/3.73
% 2.71/3.73
% 2.71/3.73 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.71/3.73
% 2.71/3.73 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.71/3.73
% 2.71/3.73 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.71/3.73
% 2.71/3.73 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.71/3.73 % ------ Proving...
% 2.71/3.73 % ------ Problem Properties
% 2.71/3.73
% 2.71/3.73 %
% 2.71/3.73 % clauses 7
% 2.71/3.73 % conjectures 1
% 2.71/3.73 % EPR 1
% 2.71/3.73 % Horn 7
% 2.71/3.73 % unary 7
% 2.71/3.73 % binary 0
% 2.71/3.73 % lits 7
% 2.71/3.73 % lits eq 7
% 2.71/3.73 % fd_pure 0
% 2.71/3.73 % fd_pseudo 0
% 2.71/3.73 % fd_cond 0
% 2.71/3.73 % fd_pseudo_cond 0
% 2.71/3.73 % AC symbols 0
% 2.71/3.73
% 2.71/3.73 % ------ Input Options Time Limit: Unbounded
% 2.71/3.73
% 2.71/3.73
% 2.71/3.73 % ------
% 2.71/3.73 % Current options:
% 2.71/3.73 % ------
% 2.71/3.73
% 2.71/3.73
% 2.71/3.73 %
% 2.71/3.73
% 2.71/3.73 % ------ Proving...
% 2.71/3.73 %
% 2.71/3.73
% 2.71/3.73 % SZS status Unsatisfiable for theBenchmark.p
% 2.71/3.73
% 2.71/3.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.71/3.73
% 2.71/3.73
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