%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT083-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n019.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 01:58:13 PM UTC 2026
% Result : Unsatisfiable 9.00s 2.43s
% Output : CNFRefutation 9.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 16 ( 3 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 81 ( 0 sgn 81 !; 0 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X6,X4,X5] : join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(join(meet(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)),meet(join(meet(X1,meet(meet(join(X3,join(X1,X4)),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X3,join(X1,X4)),join(X5,X1)),X1)))),join(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
join(a,a) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms_4) ).
fof(f3,plain,
a != join(a,a),
inference(reorient_equations,[],[f2]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(join(meet(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)),meet(join(meet(X1,meet(meet(join(X3,join(X1,X4)),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X3,join(X1,X4)),join(X5,X1)),X1)))),join(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_52,negated_conjecture,
join(a,a) != a,
inference(cnf_transformation,[],[f3]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : join(meet(join(meet(X0,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(X0,join(meet(X1,X2),meet(X2,join(X1,X2)))))),X3),meet(join(meet(X0,join(join(meet(X4,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X5)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X4,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X5)),join(meet(X1,X2),meet(X2,join(X1,X2))))))),join(join(meet(X0,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(X0,join(meet(X1,X2),meet(X2,join(X1,X2)))))),X3))) = join(meet(X1,X2),meet(X2,join(X1,X2))),
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] : join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(join(meet(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)),meet(join(meet(X5,join(join(meet(X6,X1),meet(X1,X7)),X1)),meet(join(meet(X1,meet(meet(join(X6,join(X1,X7)),join(X8,X1)),X1)),meet(X9,join(X1,meet(meet(join(X6,join(X1,X7)),join(X8,X1)),X1)))),join(X5,join(join(meet(X6,X1),meet(X1,X7)),X1)))),join(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))) = X1,
inference(superposition,[status(thm)],[c_51,c_109]) ).
tcf(c_268,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X1),meet(X1,join(join(meet(X0,X1),meet(X1,join(X0,X1))),X1))),X2),meet(X1,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X1),meet(X1,join(join(meet(X0,X1),meet(X1,join(X0,X1))),X1))),X2))) = X1,
inference(superposition,[status(thm)],[c_51,c_179]) ).
tcf(c_500,plain,
! [X0: $i,X1: $i] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
inference(superposition,[status(thm)],[c_268,c_268]) ).
tcf(c_605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(join(meet(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)),meet(X1,join(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))) = X1,
inference(superposition,[status(thm)],[c_500,c_51]) ).
tcf(c_758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : join(meet(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))),meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))))),X6),meet(X1,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))),meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))))),X6))) = join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),
inference(superposition,[status(thm)],[c_51,c_605]) ).
tcf(c_801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(meet(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(X1,join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))),meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(X1,join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(X1,join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))))),X4),meet(X1,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(X1,join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))),meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(X1,join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(X1,join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))))),X4))) = join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(X1,join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),
inference(superposition,[status(thm)],[c_605,c_605]) ).
tcf(c_802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(meet(X0,join(join(meet(X1,X2),meet(X2,X3)),X2)),meet(X2,join(X0,join(join(meet(X1,X2),meet(X2,X3)),X2)))) = X2,
inference(demodulation,[status(thm)],[c_801,c_500,c_605]) ).
tcf(c_809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : join(meet(X0,join(join(meet(X1,X2),meet(X2,X3)),X2)),meet(join(meet(X2,meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2)))),join(X0,join(join(meet(X1,X2),meet(X2,X3)),X2)))) = X2,
inference(demodulation,[status(thm)],[c_758,c_51,c_500]) ).
tcf(c_812,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(X1,join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))) = X1,
inference(demodulation,[status(thm)],[c_605,c_802]) ).
tcf(c_994,plain,
! [X0: $i,X1: $i] : join(meet(X0,join(X1,X1)),meet(X1,join(X0,join(X1,X1)))) = X1,
inference(superposition,[status(thm)],[c_500,c_802]) ).
tcf(c_1367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(meet(X0,meet(meet(join(X1,join(X0,X2)),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X1,join(X0,X2)),join(X3,X0)),X0)))) = X0,
inference(superposition,[status(thm)],[c_809,c_812]) ).
tcf(c_1651,plain,
! [X0: $i,X1: $i] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_1367,c_812]) ).
tcf(c_2235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : meet(meet(join(X0,join(X1,X2)),join(X3,X1)),X1) = X1,
inference(superposition,[status(thm)],[c_1651,c_1367]) ).
tcf(c_2238,plain,
! [X0: $i,X1: $i] : join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
inference(demodulation,[status(thm)],[c_1367,c_2235]) ).
tcf(c_2257,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_2238,c_994]) ).
tcf(c_2259,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_2257]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT083-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.72 % Computer : n019.cluster.edu
% 0.11/0.72 % Model : x86_64 x86_64
% 0.11/0.72 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.72 % Memory : 8046.5625MB
% 0.11/0.72 % OS : Linux 6.8.0-71-generic
% 0.11/0.72 % CPULimit : 300
% 0.11/0.72 % WCLimit : 300
% 0.11/0.72 % DateTime : Wed Sep 23 20:12:00 UTC 2026
% 0.11/0.72 % CPUTime :
% 0.11/0.72 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.76 Running UEQ theorem proving
% 0.11/0.76 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
% 0.11/0.77
% 0.11/0.77 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.77
% 0.11/0.77 % Detected problem language: tptp
% 0.11/0.79 % Proving...
% 9.00/2.43 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 9.00/2.43 % SZS status Started for theBenchmark.p
% 9.00/2.43 % SZS status Unsatisfiable for theBenchmark.p
% 9.00/2.43
% 9.00/2.43 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 9.00/2.43
% 9.00/2.43 % ------ iProver source info
% 9.00/2.43
% 9.00/2.43 % git: date: 2026-07-19 20:42:38 +0200
% 9.00/2.43 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 9.00/2.43 % git: non_committed_changes: false
% 9.00/2.43
% 9.00/2.43 % ------ Parsing...% successful
% 9.00/2.43
% 9.00/2.43
% 9.00/2.43 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 9.00/2.43
% 9.00/2.43 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 9.00/2.43
% 9.00/2.43 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 9.00/2.43
% 9.00/2.43 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 9.00/2.43 % ------ Proving...
% 9.00/2.43 % ------ Problem Properties
% 9.00/2.43
% 9.00/2.43 %
% 9.00/2.43 % clauses 2
% 9.00/2.43 % conjectures 1
% 9.00/2.43 % EPR 0
% 9.00/2.43 % Horn 2
% 9.00/2.43 % unary 2
% 9.00/2.43 % binary 0
% 9.00/2.43 % lits 2
% 9.00/2.43 % lits eq 2
% 9.00/2.43 % fd_pure 0
% 9.00/2.43 % fd_pseudo 0
% 9.00/2.43 % fd_cond 0
% 9.00/2.43 % fd_pseudo_cond 0
% 9.00/2.43 % AC symbols 0
% 9.00/2.43
% 9.00/2.43 % ------ Input Options Time Limit: Unbounded
% 9.00/2.43
% 9.00/2.43
% 9.00/2.43 % ------
% 9.00/2.43 % Current options:
% 9.00/2.43 % ------
% 9.00/2.43
% 9.00/2.43
% 9.00/2.43 %
% 9.00/2.43
% 9.00/2.43 % ------ Proving...
% 9.00/2.43 %
% 9.00/2.43
% 9.00/2.43 % SZS status Unsatisfiable for theBenchmark.p
% 9.00/2.43
% 9.00/2.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.00/2.43
% 9.00/2.43
%------------------------------------------------------------------------------