%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT013-1 : 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 01:58:06 PM UTC 2026
% Result : Unsatisfiable 0.93s 6.20s
% Output : CNFRefutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 64 ( 64 unt; 4 def)
% Number of atoms : 153 ( 63 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 64 ( 0 sgn 64 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : join(X0,meet(X1,meet(X0,X2))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mckenzie1) ).
fof(f2,axiom,
! [X2,X0,X1] : meet(X0,join(X1,join(X0,X2))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mckenzie2) ).
fof(f3,axiom,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X1,X2)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mckenzie3) ).
fof(f4,axiom,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X1,X2)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mckenzie4) ).
fof(f5,negated_conjecture,
meet(meet(a,b),c) != meet(a,meet(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_associativity_of_meet) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,meet(X1,meet(X0,X2))) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,join(X0,X2))) = X0,
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(meet(X0,X1),meet(X1,X2)),X1) = X1,
inference(cnf_transformation,[],[f3]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(join(X0,X1),join(X1,X2)),X1) = X1,
inference(cnf_transformation,[],[f4]) ).
tcf(c_58,negated_conjecture,
meet(meet(a,b),c) != meet(a,meet(b,c)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_77,definition,
iPr_def_10 = meet(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_78,definition,
iPr_def_11 = meet(iPr_def_10,c),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_79,definition,
iPr_def_12 = meet(b,c),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_80,definition,
iPr_def_13 = meet(a,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_81,negated_conjecture,
iPr_def_11 != iPr_def_13,
inference(demodulation,[status(thm)],[c_58,c_79,c_80,c_77,c_78]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(join(X0,X1),join(X1,X2)),X1) = X1,
inference(demodulation,[status(thm)],[c_57]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(meet(X0,X1),meet(X1,X2)),X1) = X1,
inference(demodulation,[status(thm)],[c_56]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,join(X0,X2))) = X0,
inference(demodulation,[status(thm)],[c_55]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,meet(X1,meet(X0,X2))) = X0,
inference(demodulation,[status(thm)],[c_54]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i] : join(X0,meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_84,c_85]) ).
tcf(c_132,plain,
! [X0: $i] : join(a,meet(X0,iPr_def_10)) = a,
inference(superposition,[status(thm)],[c_77,c_85]) ).
tcf(c_133,plain,
! [X0: $i] : join(b,meet(X0,iPr_def_12)) = b,
inference(superposition,[status(thm)],[c_79,c_85]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_85,c_84]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(meet(join(X0,X1),join(X1,X2)),meet(X3,X1)) = meet(join(X0,X1),join(X1,X2)),
inference(superposition,[status(thm)],[c_82,c_85]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_82,c_85]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] : join(meet(X0,X1),X1) = X1,
inference(superposition,[status(thm)],[c_85,c_83]) ).
tcf(c_147,plain,
! [X0: $i] : join(join(iPr_def_11,meet(c,X0)),c) = c,
inference(superposition,[status(thm)],[c_78,c_83]) ).
tcf(c_232,plain,
join(b,iPr_def_10) = b,
inference(superposition,[status(thm)],[c_77,c_131]) ).
tcf(c_233,plain,
join(c,iPr_def_12) = c,
inference(superposition,[status(thm)],[c_79,c_131]) ).
tcf(c_298,plain,
! [X0: $i] : meet(meet(X0,iPr_def_12),b) = meet(X0,iPr_def_12),
inference(superposition,[status(thm)],[c_133,c_136]) ).
tcf(c_346,plain,
join(iPr_def_10,iPr_def_11) = iPr_def_10,
inference(superposition,[status(thm)],[c_78,c_141]) ).
tcf(c_347,plain,
join(a,iPr_def_13) = a,
inference(superposition,[status(thm)],[c_80,c_141]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,X1),join(X2,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_142,c_84]) ).
tcf(c_430,plain,
join(iPr_def_11,c) = c,
inference(superposition,[status(thm)],[c_85,c_147]) ).
tcf(c_505,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),meet(X2,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_84,c_140]) ).
tcf(c_924,plain,
meet(iPr_def_11,iPr_def_10) = iPr_def_11,
inference(superposition,[status(thm)],[c_346,c_136]) ).
tcf(c_929,plain,
! [X0: $i] : meet(meet(a,join(iPr_def_13,X0)),iPr_def_13) = iPr_def_13,
inference(superposition,[status(thm)],[c_347,c_82]) ).
tcf(c_955,plain,
! [X0: $i] : meet(meet(join(X0,iPr_def_11),c),iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_430,c_82]) ).
tcf(c_986,plain,
meet(iPr_def_13,b) = iPr_def_13,
inference(superposition,[status(thm)],[c_80,c_298]) ).
tcf(c_1002,plain,
! [X0: $i] : meet(iPr_def_13,join(X0,iPr_def_12)) = iPr_def_13,
inference(superposition,[status(thm)],[c_80,c_382]) ).
tcf(c_1070,plain,
! [X0: $i] : join(b,meet(X0,iPr_def_10)) = b,
inference(superposition,[status(thm)],[c_232,c_505]) ).
tcf(c_1205,plain,
join(iPr_def_13,b) = b,
inference(superposition,[status(thm)],[c_986,c_142]) ).
tcf(c_1326,plain,
meet(iPr_def_13,c) = iPr_def_13,
inference(superposition,[status(thm)],[c_233,c_1002]) ).
tcf(c_1381,plain,
join(a,iPr_def_11) = a,
inference(superposition,[status(thm)],[c_924,c_132]) ).
tcf(c_1692,plain,
join(iPr_def_13,c) = c,
inference(superposition,[status(thm)],[c_1326,c_142]) ).
tcf(c_1706,plain,
meet(meet(a,b),iPr_def_13) = iPr_def_13,
inference(superposition,[status(thm)],[c_1205,c_929]) ).
tcf(c_1781,plain,
meet(iPr_def_10,iPr_def_13) = iPr_def_13,
inference(demodulation,[status(thm)],[c_1706,c_77]) ).
tcf(c_1835,plain,
! [X0: $i] : meet(meet(a,join(iPr_def_11,X0)),iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_1381,c_82]) ).
tcf(c_1861,plain,
! [X0: $i] : meet(meet(join(X0,iPr_def_13),c),iPr_def_13) = iPr_def_13,
inference(superposition,[status(thm)],[c_1692,c_82]) ).
tcf(c_1959,plain,
join(iPr_def_10,iPr_def_13) = iPr_def_10,
inference(superposition,[status(thm)],[c_1781,c_141]) ).
tcf(c_2015,plain,
join(b,iPr_def_11) = b,
inference(superposition,[status(thm)],[c_924,c_1070]) ).
tcf(c_2228,plain,
meet(meet(b,c),iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_2015,c_955]) ).
tcf(c_2471,plain,
meet(iPr_def_12,iPr_def_11) = iPr_def_11,
inference(demodulation,[status(thm)],[c_2228,c_79]) ).
tcf(c_2623,plain,
join(iPr_def_12,iPr_def_11) = iPr_def_12,
inference(superposition,[status(thm)],[c_2471,c_141]) ).
tcf(c_2980,plain,
meet(iPr_def_11,iPr_def_12) = iPr_def_11,
inference(superposition,[status(thm)],[c_2623,c_136]) ).
tcf(c_3060,plain,
meet(meet(iPr_def_10,c),iPr_def_13) = iPr_def_13,
inference(superposition,[status(thm)],[c_1959,c_1861]) ).
tcf(c_3149,plain,
meet(iPr_def_11,iPr_def_13) = iPr_def_13,
inference(demodulation,[status(thm)],[c_3060,c_78]) ).
tcf(c_3195,plain,
join(iPr_def_11,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_2980,c_142]) ).
tcf(c_3210,plain,
join(iPr_def_11,iPr_def_13) = iPr_def_11,
inference(superposition,[status(thm)],[c_3149,c_141]) ).
tcf(c_3559,plain,
meet(meet(a,iPr_def_12),iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_3195,c_1835]) ).
tcf(c_3571,plain,
meet(iPr_def_13,iPr_def_11) = iPr_def_13,
inference(superposition,[status(thm)],[c_3210,c_136]) ).
tcf(c_3882,plain,
meet(iPr_def_13,iPr_def_11) = iPr_def_11,
inference(demodulation,[status(thm)],[c_3559,c_80]) ).
tcf(c_4087,plain,
iPr_def_11 = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_3882,c_3571]) ).
tcf(c_4146,plain,
$false,
inference(superposition,[status(thm)],[c_4087,c_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT013-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.38 % Computer : n002.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Wed Sep 23 20:03:09 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.42 Running UEQ theorem proving
% 0.15/5.42 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
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.43 % Detected problem language: tptp
% 0.15/5.44 % Proving...
% 0.93/6.20 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 0.93/6.20 % SZS status Started for theBenchmark.p
% 0.93/6.20 % SZS status Unsatisfiable for theBenchmark.p
% 0.93/6.20
% 0.93/6.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.93/6.20
% 0.93/6.20 % ------ iProver source info
% 0.93/6.20
% 0.93/6.20 % git: date: 2026-07-19 20:42:38 +0200
% 0.93/6.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.93/6.20 % git: non_committed_changes: false
% 0.93/6.20
% 0.93/6.20 % ------ Parsing...% successful
% 0.93/6.20
% 0.93/6.20
% 0.93/6.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.93/6.20
% 0.93/6.20 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.93/6.20
% 0.93/6.20 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.93/6.20
% 0.93/6.20 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.93/6.20 % ------ Proving...
% 0.93/6.20 % ------ Problem Properties
% 0.93/6.20
% 0.93/6.20 %
% 0.93/6.20 % clauses 9
% 0.93/6.20 % conjectures 1
% 0.93/6.20 % EPR 1
% 0.93/6.20 % Horn 9
% 0.93/6.20 % unary 9
% 0.93/6.20 % binary 0
% 0.93/6.20 % lits 9
% 0.93/6.20 % lits eq 9
% 0.93/6.20 % fd_pure 0
% 0.93/6.20 % fd_pseudo 0
% 0.93/6.20 % fd_cond 0
% 0.93/6.20 % fd_pseudo_cond 0
% 0.93/6.20 % AC symbols 0
% 0.93/6.20
% 0.93/6.20 % ------ Input Options Time Limit: Unbounded
% 0.93/6.20
% 0.93/6.20
% 0.93/6.20 % ------
% 0.93/6.20 % Current options:
% 0.93/6.20 % ------
% 0.93/6.20
% 0.93/6.20
% 0.93/6.20 %
% 0.93/6.20
% 0.93/6.20 % ------ Proving...
% 0.93/6.20 %
% 0.93/6.20
% 0.93/6.20 % SZS status Unsatisfiable for theBenchmark.p
% 0.93/6.20
% 0.93/6.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.93/6.20
% 0.93/6.20
%------------------------------------------------------------------------------