%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT010-1 : 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 : n026.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 12.27s 19.96s
% Output : CNFRefutation 12.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 8
% Syntax : Number of formulae : 61 ( 61 unt; 0 def)
% Number of atoms : 61 ( 60 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 9 ( 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 162 ( 0 sgn 162 !; 0 ?; 145 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
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(f11,axiom,
! [X2,X0,X1] : meet(join(X0,meet(X1,X2)),join(X2,meet(X0,X1))) = join(meet(X2,join(X0,meet(X1,X2))),meet(X0,join(X1,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nr_3) ).
fof(f12,negated_conjecture,
meet(a,meet(join(b,c),join(b,d))) != meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[],[f4]) ).
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_71,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,join(X1,meet(X2,X0))),meet(X1,join(X2,X0))) = meet(join(X1,meet(X2,X0)),join(X0,meet(X1,X2))),
inference(cnf_transformation,[],[f11]) ).
tcf(c_72,negated_conjecture,
meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) != meet(a,meet(join(b,c),join(b,d))),
inference(cnf_transformation,[],[f12]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,join(X1,X2)),meet(X2,join(X0,meet(X1,X2)))) = meet(join(X0,meet(X1,X2)),join(X2,meet(X0,X1))),
inference(theory_normalisation,[status(thm)],[c_71,c_67,c_65,c_68,c_66]) ).
tcf(c_85,negated_conjecture,
meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))) != meet(a,meet(join(b,c),join(b,d))),
inference(theory_normalisation,[status(thm)],[c_72,c_67,c_65,c_68,c_66]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(superposition,[status(thm)],[c_67,c_65]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i] : join(X0,meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_65,c_64]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_66,c_63]) ).
tcf(c_206,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,join(X1,X2)),meet(join(X0,meet(X1,X2)),join(X2,meet(X0,X1)))) = meet(X0,join(X1,X2)),
inference(superposition,[status(thm)],[c_84,c_63]) ).
tcf(c_215,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(join(X1,X2),meet(join(X0,meet(X1,X2)),join(X2,meet(X0,X1))))) = meet(X0,join(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_206,c_68,c_66,c_67,c_65]) ).
tcf(c_248,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(join(X0,X1),X2)) = meet(X0,X2),
inference(superposition,[status(thm)],[c_63,c_67]) ).
tcf(c_251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(meet(X0,join(X1,meet(X2,X3))),meet(X2,meet(X3,join(X0,meet(X1,meet(X2,X3)))))) = meet(join(X0,meet(X1,meet(X2,X3))),join(meet(X2,X3),meet(X0,X1))),
inference(superposition,[status(thm)],[c_67,c_84]) ).
tcf(c_255,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,meet(X1,meet(X2,X0))) = X0,
inference(superposition,[status(thm)],[c_67,c_174]) ).
tcf(c_282,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(meet(X0,X1),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_64,c_68]) ).
tcf(c_678,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,join(X2,X0))) = X0,
inference(superposition,[status(thm)],[c_68,c_176]) ).
tcf(c_784,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),meet(X2,X0)) = join(X0,X1),
inference(superposition,[status(thm)],[c_63,c_255]) ).
tcf(c_785,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,meet(X1,meet(X0,X2))) = X0,
inference(superposition,[status(thm)],[c_65,c_255]) ).
tcf(c_803,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,meet(X2,X0))) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_784,c_68,c_66,c_67,c_65]) ).
tcf(c_1368,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X0,meet(X2,X1))) = meet(X0,X1),
inference(superposition,[status(thm)],[c_165,c_174]) ).
tcf(c_1389,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(X1,join(X0,X2))) = meet(X0,X1),
inference(superposition,[status(thm)],[c_65,c_248]) ).
tcf(c_1392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : meet(X0,meet(X1,meet(join(X0,X2),X3))) = meet(X0,meet(X1,X3)),
inference(superposition,[status(thm)],[c_165,c_248]) ).
tcf(c_1565,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(meet(X0,X1),X2),join(X0,X2)) = join(meet(X0,X1),X2),
inference(superposition,[status(thm)],[c_282,c_176]) ).
tcf(c_1574,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(meet(X0,X2),X1)) = join(meet(X0,X2),X1),
inference(theory_normalisation,[status(thm)],[c_1565,c_68,c_66,c_67,c_65]) ).
tcf(c_2112,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,meet(X1,X2)),join(X2,X0)) = join(X0,meet(X1,X2)),
inference(superposition,[status(thm)],[c_803,c_176]) ).
tcf(c_2129,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X1,meet(X2,X0))) = join(X1,meet(X2,X0)),
inference(theory_normalisation,[status(thm)],[c_2112,c_68,c_66,c_67,c_65]) ).
tcf(c_7155,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,join(X1,X2)),meet(X0,X2)) = meet(X0,join(X1,X2)),
inference(superposition,[status(thm)],[c_176,c_1368]) ).
tcf(c_7200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : meet(meet(X0,meet(X1,X2)),join(X3,meet(X0,X2))) = meet(X0,meet(X1,X2)),
inference(superposition,[status(thm)],[c_1368,c_678]) ).
tcf(c_7224,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X0,join(X2,X1))) = meet(X0,join(X2,X1)),
inference(theory_normalisation,[status(thm)],[c_7155,c_68,c_66,c_67,c_65]) ).
tcf(c_7231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : meet(X0,meet(X1,meet(X2,join(X3,meet(X0,X2))))) = meet(X0,meet(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_7200,c_68,c_66,c_67,c_65]) ).
tcf(c_9972,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(X2,X1)),
inference(demodulation,[status(thm)],[c_215,c_1392,c_2129]) ).
tcf(c_9980,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(meet(X0,X1),X2)) = meet(X0,join(X1,X2)),
inference(superposition,[status(thm)],[c_66,c_9972]) ).
tcf(c_9999,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,meet(X2,X0))) = meet(X0,join(X2,X1)),
inference(superposition,[status(thm)],[c_65,c_9972]) ).
tcf(c_10273,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(meet(X1,X0),X2)) = meet(X0,join(X1,X2)),
inference(superposition,[status(thm)],[c_65,c_9980]) ).
tcf(c_10301,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(X2,meet(X0,X1))),
inference(superposition,[status(thm)],[c_9980,c_9972]) ).
tcf(c_10349,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(X1,X2)),
inference(light_normalisation,[status(thm)],[c_10301,c_9972]) ).
tcf(c_10849,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,meet(X2,X0))) = meet(X0,join(X2,meet(X1,X0))),
inference(superposition,[status(thm)],[c_10273,c_9999]) ).
tcf(c_10875,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,meet(X2,X0))) = meet(X0,join(X1,X2)),
inference(light_normalisation,[status(thm)],[c_10849,c_9999]) ).
tcf(c_11293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : meet(X0,meet(X1,join(X2,meet(X3,meet(X0,X1))))) = meet(meet(X0,X1),join(X2,X3)),
inference(superposition,[status(thm)],[c_10875,c_67]) ).
tcf(c_11326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : meet(X0,meet(X1,join(X2,meet(X3,meet(X0,X1))))) = meet(X0,meet(X1,join(X2,X3))),
inference(theory_normalisation,[status(thm)],[c_11293,c_68,c_66,c_67,c_65]) ).
tcf(c_16589,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(meet(X0,X1),meet(X0,X2))) = join(meet(X0,X1),meet(X0,X2)),
inference(superposition,[status(thm)],[c_64,c_1574]) ).
tcf(c_35190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(meet(X0,join(X1,meet(X2,X3))),meet(X2,meet(X3,join(X0,X1)))) = meet(join(X0,meet(X1,meet(X2,X3))),join(meet(X2,X3),meet(X0,X1))),
inference(demodulation,[status(thm)],[c_251,c_11326]) ).
tcf(c_35298,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,meet(X1,meet(X0,X2))),join(meet(X0,X2),meet(X0,X1))) = join(meet(X0,join(X1,meet(X0,X2))),meet(X0,X2)),
inference(superposition,[status(thm)],[c_1389,c_35190]) ).
tcf(c_35489,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,meet(X1,meet(X0,X2))),join(meet(X0,X2),meet(X0,X1))) = join(meet(X0,X2),meet(X0,join(X1,meet(X0,X2)))),
inference(theory_normalisation,[status(thm)],[c_35298,c_68,c_66,c_67,c_65]) ).
tcf(c_35490,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X0,join(X2,X1))) = meet(X0,join(meet(X0,X1),meet(X0,X2))),
inference(light_normalisation,[status(thm)],[c_35489,c_785,c_10349]) ).
tcf(c_35491,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(X2,X1)),
inference(light_normalisation,[status(thm)],[c_35490,c_7224,c_16589]) ).
tcf(c_35791,plain,
meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),meet(a,join(join(b,meet(c,d)),d)))))) != meet(a,meet(join(b,c),join(b,d))),
inference(demodulation,[status(thm)],[c_85,c_35491]) ).
tcf(c_35792,plain,
meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),meet(a,join(b,join(d,meet(c,d)))))))) != meet(a,meet(join(b,c),join(b,d))),
inference(theory_normalisation,[status(thm)],[c_35791,c_68,c_66,c_67,c_65]) ).
tcf(c_35793,plain,
$false,
inference(ground_joinability,[status(thm)],[c_35792,c_174,c_7231]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT010-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/15.45 % Computer : n026.cluster.edu
% 0.15/15.45 % Model : x86_64 x86_64
% 0.15/15.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/15.45 % Memory : 8046.5625MB
% 0.15/15.45 % OS : Linux 6.8.0-71-generic
% 0.15/15.45 % CPULimit : 300
% 0.15/15.45 % WCLimit : 300
% 0.15/15.45 % DateTime : Wed Sep 23 20:02:56 UTC 2026
% 0.15/15.45 % CPUTime :
% 0.15/15.45 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.20/15.51 Running UEQ theorem proving
% 0.20/15.51 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
% 0.20/15.53
% 0.20/15.53 % ======== iProver multi-core TPTP/SMT =========
% 0.20/15.53
% 0.20/15.53 % Detected problem language: tptp
% 0.20/15.55 % Proving...
% 12.27/19.96 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 12.27/19.96 % SZS status Started for theBenchmark.p
% 12.27/19.96 % SZS status Unsatisfiable for theBenchmark.p
% 12.27/19.96
% 12.27/19.96 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 12.27/19.96
% 12.27/19.96 % ------ iProver source info
% 12.27/19.96
% 12.27/19.96 % git: date: 2026-07-19 20:42:38 +0200
% 12.27/19.96 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 12.27/19.96 % git: non_committed_changes: false
% 12.27/19.96
% 12.27/19.96 % ------ Parsing...% successful
% 12.27/19.96
% 12.27/19.96
% 12.27/19.96 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 12.27/19.96
% 12.27/19.96 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 12.27/19.96
% 12.27/19.96 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 12.27/19.96
% 12.27/19.96 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 12.27/19.96 % ------ Proving...
% 12.27/19.96 % ------ Problem Properties
% 12.27/19.96
% 12.27/19.96 %
% 12.27/19.96 % clauses 12
% 12.27/19.96 % conjectures 1
% 12.27/19.96 % EPR 0
% 12.27/19.96 % Horn 12
% 12.27/19.96 % unary 12
% 12.27/19.96 % binary 0
% 12.27/19.96 % lits 12
% 12.27/19.96 % lits eq 12
% 12.27/19.96 % fd_pure 0
% 12.27/19.96 % fd_pseudo 0
% 12.27/19.96 % fd_cond 0
% 12.27/19.96 % fd_pseudo_cond 0
% 12.27/19.96 % AC symbols 2
% 12.27/19.96
% 12.27/19.96 % ------ Input Options Time Limit: Unbounded
% 12.27/19.96
% 12.27/19.96
% 12.27/19.96 % ------
% 12.27/19.96 % Current options:
% 12.27/19.96 % ------
% 12.27/19.96
% 12.27/19.96
% 12.27/19.96 %
% 12.27/19.96
% 12.27/19.96 % ------ Proving...
% 12.27/19.96 %
% 12.27/19.96
% 12.27/19.96 % SZS status Unsatisfiable for theBenchmark.p
% 12.27/19.96
% 12.27/19.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 12.27/19.96
% 12.27/19.96
%------------------------------------------------------------------------------