%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT097-1 : 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 : n016.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 01:58:14 PM UTC 2026
% Result : Unsatisfiable 9.06s 2.18s
% Output : CNFRefutation 9.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 2
% Syntax : Number of formulae : 44 ( 44 unt; 0 def)
% Number of atoms : 44 ( 43 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 13 ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 118 ( 0 sgn 118 !; 0 ?; 112 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] : join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(join(meet(X0,join(join(meet(X1,X3),meet(X4,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X3),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X1,X3),join(X4,X1)),X1)))),join(X0,join(join(meet(X1,X3),meet(X4,X1)),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(join(meet(a,b),meet(c,b)),b) != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wal_axioms_6) ).
fof(f3,plain,
b != join(join(meet(a,b),meet(c,b)),b),
inference(reorient_equations,[],[f2]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(join(meet(X0,join(join(meet(X1,X3),meet(X4,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X3),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X1,X3),join(X4,X1)),X1)))),join(X0,join(join(meet(X1,X3),meet(X4,X1)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_52,negated_conjecture,
join(join(meet(a,b),meet(c,b)),b) != b,
inference(cnf_transformation,[],[f3]) ).
tcf(c_125,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(join(meet(X1,X2),meet(X2,join(X1,X2))),X4),meet(X5,join(meet(X1,X2),meet(X2,join(X1,X2))))),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4),meet(X5,join(meet(X1,X2),meet(X2,join(X1,X2))))),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_240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(join(meet(X0,join(join(meet(X1,X3),meet(X4,X1)),X1)),meet(join(meet(X5,join(join(meet(X1,X6),meet(X7,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X6),join(X7,X1)),X1)),meet(X8,join(X1,meet(meet(join(X1,X6),join(X7,X1)),X1)))),join(X5,join(join(meet(X1,X6),meet(X7,X1)),X1)))),join(X0,join(join(meet(X1,X3),meet(X4,X1)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))) = X1,
inference(superposition,[status(thm)],[c_51,c_125]) ).
tcf(c_320,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_240]) ).
tcf(c_400,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(X1,X3),meet(X4,X1)),X1)),meet(X1,join(X0,join(join(meet(X1,X3),meet(X4,X1)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))) = X1,
inference(superposition,[status(thm)],[c_320,c_125]) ).
tcf(c_406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(join(meet(X0,join(join(meet(X1,X3),meet(X4,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X0,join(join(meet(X1,X3),meet(X4,X1)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))) = X1,
inference(superposition,[status(thm)],[c_320,c_240]) ).
tcf(c_408,plain,
! [X0: $i,X1: $i] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
inference(superposition,[status(thm)],[c_320,c_320]) ).
tcf(c_630,plain,
! [X0: $i,X1: $i] : join(meet(meet(X0,X1),meet(X0,join(X0,X1))),meet(meet(X0,X1),X0)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_408,c_408]) ).
tcf(c_864,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(X1,X2),meet(X3,X1)),X1)),meet(X1,join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))),meet(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(X1,join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(X1,join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))))),X4),meet(X1,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(X1,join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))),meet(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(X1,join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(X1,join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))))),X4))) = join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(X1,join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),
inference(superposition,[status(thm)],[c_400,c_400]) ).
tcf(c_865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(X1,join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = X1,
inference(demodulation,[status(thm)],[c_864,c_408,c_400]) ).
tcf(c_878,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_400,c_865]) ).
tcf(c_1381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = X1,
inference(superposition,[status(thm)],[c_406,c_865]) ).
tcf(c_1577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(meet(X0,meet(meet(join(X0,X1),join(X2,X0)),X0)),meet(X3,join(X0,meet(meet(join(X0,X1),join(X2,X0)),X0)))) = X0,
inference(superposition,[status(thm)],[c_1381,c_408]) ).
tcf(c_1742,plain,
! [X0: $i,X1: $i] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_1577,c_878]) ).
tcf(c_1863,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
inference(superposition,[status(thm)],[c_1742,c_1577]) ).
tcf(c_1864,plain,
! [X0: $i,X1: $i] : join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
inference(demodulation,[status(thm)],[c_1577,c_1863]) ).
tcf(c_3004,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
inference(superposition,[status(thm)],[c_1864,c_865]) ).
tcf(c_3059,plain,
! [X0: $i,X1: $i] : join(join(meet(X0,X1),X0),X0) = X0,
inference(superposition,[status(thm)],[c_1863,c_3004]) ).
tcf(c_3066,plain,
! [X0: $i,X1: $i] : meet(meet(join(X0,X1),X0),X0) = X0,
inference(superposition,[status(thm)],[c_3004,c_1863]) ).
tcf(c_3184,plain,
! [X0: $i,X1: $i] : meet(meet(X0,meet(X1,X0)),meet(X1,X0)) = meet(X1,X0),
inference(superposition,[status(thm)],[c_1742,c_3066]) ).
tcf(c_3185,plain,
! [X0: $i,X1: $i] : meet(meet(X0,meet(X0,X1)),meet(X0,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_408,c_3066]) ).
tcf(c_3215,plain,
! [X0: $i] : meet(meet(X0,X0),X0) = X0,
inference(superposition,[status(thm)],[c_1863,c_3184]) ).
tcf(c_3231,plain,
! [X0: $i] : join(X0,meet(X0,join(meet(X0,X0),X0))) = X0,
inference(superposition,[status(thm)],[c_3215,c_1742]) ).
tcf(c_3242,plain,
! [X0: $i,X1: $i] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(superposition,[status(thm)],[c_3231,c_1863]) ).
tcf(c_3433,plain,
! [X0: $i] : meet(X0,X0) = X0,
inference(superposition,[status(thm)],[c_3242,c_3185]) ).
tcf(c_3450,plain,
! [X0: $i,X1: $i] : join(X0,meet(X1,join(X0,X0))) = X0,
inference(demodulation,[status(thm)],[c_1864,c_3433]) ).
tcf(c_3471,plain,
! [X0: $i] : join(join(X0,X0),X0) = X0,
inference(superposition,[status(thm)],[c_3433,c_3059]) ).
tcf(c_3479,plain,
! [X0: $i] : meet(join(X0,X0),X0) = X0,
inference(superposition,[status(thm)],[c_3433,c_1863]) ).
tcf(c_3611,plain,
! [X0: $i] : join(X0,meet(X0,join(join(X0,X0),X0))) = X0,
inference(superposition,[status(thm)],[c_3479,c_1742]) ).
tcf(c_3619,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_3611,c_3433,c_3471]) ).
tcf(c_3639,plain,
! [X0: $i,X1: $i] : join(X0,meet(X1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3450,c_3619]) ).
tcf(c_3651,plain,
! [X0: $i,X1: $i] : join(meet(meet(X0,meet(X1,X0)),meet(X0,X0)),meet(meet(X0,meet(X1,X0)),X0)) = meet(X0,meet(X1,X0)),
inference(superposition,[status(thm)],[c_3639,c_630]) ).
tcf(c_3654,plain,
! [X0: $i,X1: $i] : meet(meet(meet(X0,X1),X1),meet(X0,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_3639,c_3242]) ).
tcf(c_3656,plain,
! [X0: $i,X1: $i] : meet(meet(X0,meet(X1,X0)),X0) = meet(X0,meet(X1,X0)),
inference(demodulation,[status(thm)],[c_3651,c_3433,c_3619]) ).
tcf(c_4088,plain,
! [X0: $i,X1: $i] : meet(X0,meet(join(X0,X1),X0)) = meet(join(X0,X1),X0),
inference(superposition,[status(thm)],[c_3066,c_3654]) ).
tcf(c_4529,plain,
! [X0: $i,X1: $i] : meet(meet(join(X0,X1),X0),X0) = meet(join(X0,X1),X0),
inference(superposition,[status(thm)],[c_4088,c_3656]) ).
tcf(c_4532,plain,
! [X0: $i,X1: $i] : meet(join(X0,X1),X0) = X0,
inference(demodulation,[status(thm)],[c_4529,c_3066]) ).
tcf(c_4554,plain,
! [X0: $i,X1: $i] : meet(X0,meet(X1,X0)) = meet(X1,X0),
inference(superposition,[status(thm)],[c_1742,c_4532]) ).
tcf(c_4732,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(meet(X0,X1),meet(X2,X1)),X1) = X1,
inference(superposition,[status(thm)],[c_4554,c_3004]) ).
tcf(c_4745,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_4732]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT097-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 20:19:41 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 Running UEQ theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 9.06/2.18 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 9.06/2.18 % SZS status Started for theBenchmark.p
% 9.06/2.18 % SZS status Unsatisfiable for theBenchmark.p
% 9.06/2.18
% 9.06/2.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 9.06/2.18
% 9.06/2.18 % ------ iProver source info
% 9.06/2.18
% 9.06/2.18 % git: date: 2026-07-19 20:42:38 +0200
% 9.06/2.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 9.06/2.18 % git: non_committed_changes: false
% 9.06/2.18
% 9.06/2.18 % ------ Parsing...% successful
% 9.06/2.18
% 9.06/2.18
% 9.06/2.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 9.06/2.18
% 9.06/2.18 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 9.06/2.18
% 9.06/2.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 9.06/2.18
% 9.06/2.18 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 9.06/2.18 % ------ Proving...
% 9.06/2.18 % ------ Problem Properties
% 9.06/2.18
% 9.06/2.18 %
% 9.06/2.18 % clauses 2
% 9.06/2.18 % conjectures 1
% 9.06/2.18 % EPR 0
% 9.06/2.18 % Horn 2
% 9.06/2.18 % unary 2
% 9.06/2.18 % binary 0
% 9.06/2.18 % lits 2
% 9.06/2.18 % lits eq 2
% 9.06/2.18 % fd_pure 0
% 9.06/2.18 % fd_pseudo 0
% 9.06/2.18 % fd_cond 0
% 9.06/2.18 % fd_pseudo_cond 0
% 9.06/2.18 % AC symbols 0
% 9.06/2.18
% 9.06/2.18 % ------ Input Options Time Limit: Unbounded
% 9.06/2.18
% 9.06/2.18
% 9.06/2.18 % ------
% 9.06/2.18 % Current options:
% 9.06/2.18 % ------
% 9.06/2.18
% 9.06/2.18
% 9.06/2.18 %
% 9.06/2.18
% 9.06/2.18 % ------ Proving...
% 9.06/2.18 %
% 9.06/2.18
% 9.06/2.18 % SZS status Unsatisfiable for theBenchmark.p
% 9.06/2.18
% 9.06/2.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.06/2.18
% 9.06/2.18
%------------------------------------------------------------------------------