%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT036-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n003.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 01:58:09 PM UTC 2026
% Result : Unsatisfiable 3.26s 1.21s
% Output : CNFRefutation 3.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 66 ( 66 unt; 0 def)
% Number of atoms : 66 ( 65 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 10 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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; 3 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn 49 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).
fof(f9,axiom,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dist_join) ).
fof(f18,axiom,
! [X0,X1] : k(join(X0,X1)) = meet(k(X0),k(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_on_join) ).
fof(f19,axiom,
! [X0,X1] : k(meet(X0,X1)) = join(k(X0),k(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_on_meet) ).
fof(f24,axiom,
join(k(k(aa)),join(aa,k(aa))) = join(aa,k(aa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lhs1) ).
fof(f25,plain,
join(aa,k(aa)) = join(k(k(aa)),join(aa,k(aa))),
inference(reorient_equations,[],[f24]) ).
fof(f26,axiom,
join(k(k(k(bb))),join(aa,k(aa))) = join(aa,k(aa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lhs2) ).
fof(f27,plain,
join(aa,k(aa)) = join(k(k(k(bb))),join(aa,k(aa))),
inference(reorient_equations,[],[f26]) ).
fof(f28,axiom,
join(k(k(aa)),join(k(aa),join(k(bb),k(cc)))) = join(k(aa),join(k(bb),k(cc))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lhs3) ).
fof(f29,plain,
join(k(aa),join(k(bb),k(cc))) = join(k(k(aa)),join(k(aa),join(k(bb),k(cc)))),
inference(reorient_equations,[],[f28]) ).
fof(f30,axiom,
join(k(k(k(bb))),join(k(aa),join(k(bb),k(cc)))) = join(k(aa),join(k(bb),k(cc))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lhs4) ).
fof(f31,plain,
join(k(aa),join(k(bb),k(cc))) = join(k(k(k(bb))),join(k(aa),join(k(bb),k(cc)))),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
join(k(k(join(aa,k(bb)))),join(meet(aa,k(meet(bb,cc))),k(aa))) != join(meet(aa,k(meet(bb,cc))),k(aa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rhs) ).
fof(f33,plain,
join(meet(aa,k(meet(bb,cc))),k(aa)) != join(k(k(join(aa,k(bb)))),join(meet(aa,k(meet(bb,cc))),k(aa))),
inference(reorient_equations,[],[f32]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_75,plain,
join(k(k(aa)),join(aa,k(aa))) = join(aa,k(aa)),
inference(cnf_transformation,[],[f25]) ).
tcf(c_76,plain,
join(k(k(k(bb))),join(aa,k(aa))) = join(aa,k(aa)),
inference(cnf_transformation,[],[f27]) ).
tcf(c_77,plain,
join(k(k(aa)),join(k(aa),join(k(bb),k(cc)))) = join(k(aa),join(k(bb),k(cc))),
inference(cnf_transformation,[],[f29]) ).
tcf(c_78,plain,
join(k(k(k(bb))),join(k(aa),join(k(bb),k(cc)))) = join(k(aa),join(k(bb),k(cc))),
inference(cnf_transformation,[],[f31]) ).
tcf(c_79,negated_conjecture,
join(k(k(join(aa,k(bb)))),join(meet(aa,k(meet(bb,cc))),k(aa))) != join(meet(aa,k(meet(bb,cc))),k(aa)),
inference(cnf_transformation,[],[f33]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] : join(k(X0),k(X1)) = k(meet(X0,X1)),
inference(cnf_transformation,[],[f19]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] : meet(k(X0),k(X1)) = k(join(X0,X1)),
inference(cnf_transformation,[],[f18]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_104,plain,
join(aa,join(k(aa),k(k(aa)))) = join(aa,k(aa)),
inference(theory_normalisation,[status(thm)],[c_75,c_80,c_81,c_86,c_87]) ).
tcf(c_105,plain,
join(aa,join(k(aa),k(k(k(bb))))) = join(aa,k(aa)),
inference(theory_normalisation,[status(thm)],[c_76,c_80,c_81,c_86,c_87]) ).
tcf(c_106,plain,
join(k(aa),join(k(bb),join(k(cc),k(k(aa))))) = join(k(aa),join(k(bb),k(cc))),
inference(theory_normalisation,[status(thm)],[c_77,c_80,c_81,c_86,c_87]) ).
tcf(c_107,plain,
join(k(aa),join(k(bb),join(k(cc),k(k(k(bb)))))) = join(k(aa),join(k(bb),k(cc))),
inference(theory_normalisation,[status(thm)],[c_78,c_80,c_81,c_86,c_87]) ).
tcf(c_108,negated_conjecture,
join(k(aa),join(k(k(join(aa,k(bb)))),meet(aa,k(meet(bb,cc))))) != join(k(aa),meet(aa,k(meet(bb,cc)))),
inference(theory_normalisation,[status(thm)],[c_79,c_80,c_81,c_86,c_87]) ).
tcf(c_147,plain,
join(aa,k(meet(k(aa),aa))) = join(aa,k(aa)),
inference(ac_demodulation,[status(thm)],[c_104,c_83,c_86,c_87,c_80,c_81]) ).
tcf(c_148,plain,
join(aa,k(meet(aa,k(aa)))) = join(aa,k(aa)),
inference(theory_normalisation,[status(thm)],[c_147,c_86,c_87,c_80,c_81]) ).
tcf(c_149,plain,
join(aa,k(meet(k(k(bb)),aa))) = join(aa,k(aa)),
inference(ac_demodulation,[status(thm)],[c_105,c_83,c_86,c_87,c_80,c_81]) ).
tcf(c_150,plain,
join(aa,k(meet(aa,k(k(bb))))) = join(aa,k(aa)),
inference(theory_normalisation,[status(thm)],[c_149,c_86,c_87,c_80,c_81]) ).
tcf(c_153,plain,
join(k(bb),join(k(cc),k(meet(k(aa),aa)))) = join(k(cc),k(meet(aa,bb))),
inference(ac_demodulation,[status(thm)],[c_106,c_83,c_83,c_86,c_87,c_80,c_81]) ).
tcf(c_154,plain,
join(k(cc),k(meet(meet(k(aa),aa),bb))) = k(meet(meet(aa,bb),cc)),
inference(ac_demodulation,[status(thm)],[c_153,c_83,c_83,c_86,c_87,c_80,c_81]) ).
tcf(c_155,plain,
k(meet(meet(meet(k(aa),aa),bb),cc)) = k(meet(meet(aa,bb),cc)),
inference(ac_demodulation,[status(thm)],[c_154,c_83,c_86,c_87,c_80,c_81]) ).
tcf(c_156,plain,
k(meet(aa,meet(bb,meet(cc,k(aa))))) = k(meet(aa,meet(bb,cc))),
inference(theory_normalisation,[status(thm)],[c_155,c_86,c_87,c_80,c_81]) ).
tcf(c_157,plain,
join(k(bb),join(k(cc),k(meet(k(k(bb)),aa)))) = join(k(cc),k(meet(aa,bb))),
inference(ac_demodulation,[status(thm)],[c_107,c_83,c_83,c_86,c_87,c_80,c_81]) ).
tcf(c_158,plain,
join(k(cc),k(meet(meet(k(k(bb)),aa),bb))) = k(meet(meet(aa,bb),cc)),
inference(ac_demodulation,[status(thm)],[c_157,c_83,c_83,c_86,c_87,c_80,c_81]) ).
tcf(c_159,plain,
k(meet(meet(meet(k(k(bb)),aa),bb),cc)) = k(meet(meet(aa,bb),cc)),
inference(ac_demodulation,[status(thm)],[c_158,c_83,c_86,c_87,c_80,c_81]) ).
tcf(c_160,plain,
k(meet(aa,meet(bb,meet(cc,k(k(bb)))))) = k(meet(aa,meet(bb,cc))),
inference(theory_normalisation,[status(thm)],[c_159,c_86,c_87,c_80,c_81]) ).
tcf(c_161,plain,
join(meet(aa,k(meet(bb,cc))),k(meet(k(join(aa,k(bb))),aa))) != join(k(aa),meet(aa,k(meet(bb,cc)))),
inference(ac_demodulation,[status(thm)],[c_108,c_83,c_86,c_87,c_80,c_81]) ).
tcf(c_162,plain,
join(meet(aa,k(meet(bb,cc))),k(meet(aa,k(join(aa,k(bb)))))) != join(k(aa),meet(aa,k(meet(bb,cc)))),
inference(theory_normalisation,[status(thm)],[c_161,c_86,c_87,c_80,c_81]) ).
tcf(c_238,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_80,c_81]) ).
tcf(c_243,plain,
join(k(meet(aa,k(join(aa,k(bb))))),meet(aa,k(meet(bb,cc)))) != join(k(aa),meet(aa,k(meet(bb,cc)))),
inference(theory_normalisation,[status(thm)],[c_162,c_86,c_87,c_80,c_81]) ).
tcf(c_244,plain,
meet(join(aa,join(k(aa),join(k(k(aa)),k(k(k(bb)))))),join(k(aa),join(k(k(aa)),join(k(bb),join(k(k(k(bb))),k(cc)))))) != meet(join(aa,k(aa)),join(k(aa),join(k(bb),k(cc)))),
inference(demodulation,[status(thm)],[c_243,c_73,c_84,c_83,c_81,c_80,c_238]) ).
tcf(c_251,plain,
join(aa,join(k(aa),k(k(aa)))) = join(aa,k(aa)),
inference(demodulation,[status(thm)],[c_148,c_83]) ).
tcf(c_269,plain,
! [X0: $i] : join(aa,join(join(k(aa),k(k(aa))),X0)) = join(join(aa,k(aa)),X0),
inference(superposition,[status(thm)],[c_251,c_80]) ).
tcf(c_276,plain,
! [X0: $i] : join(aa,join(k(aa),join(k(k(aa)),X0))) = join(aa,join(k(aa),X0)),
inference(theory_normalisation,[status(thm)],[c_269,c_86,c_87,c_80,c_81]) ).
tcf(c_277,plain,
meet(join(aa,join(k(aa),k(k(k(bb))))),join(k(aa),join(k(k(aa)),join(k(bb),join(k(k(k(bb))),k(cc)))))) != meet(join(aa,k(aa)),join(k(aa),join(k(bb),k(cc)))),
inference(demodulation,[status(thm)],[c_244,c_276]) ).
tcf(c_290,plain,
! [X0: $i,X1: $i,X2: $i] : join(k(meet(X0,X1)),k(X2)) = k(meet(X0,meet(X1,X2))),
inference(superposition,[status(thm)],[c_86,c_83]) ).
tcf(c_294,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(k(X0),k(X1)),k(X2)) = k(meet(X0,meet(X1,X2))),
inference(light_normalisation,[status(thm)],[c_290,c_83]) ).
tcf(c_295,plain,
! [X0: $i,X1: $i,X2: $i] : join(k(X0),join(k(X1),k(X2))) = k(meet(X0,meet(X1,X2))),
inference(theory_normalisation,[status(thm)],[c_294,c_86,c_87,c_80,c_81]) ).
tcf(c_484,plain,
join(aa,join(k(aa),k(k(k(bb))))) = join(aa,k(aa)),
inference(demodulation,[status(thm)],[c_150,c_83]) ).
tcf(c_485,plain,
meet(join(aa,k(aa)),join(k(aa),join(k(k(aa)),join(k(bb),join(k(k(k(bb))),k(cc)))))) != meet(join(aa,k(aa)),join(k(aa),join(k(bb),k(cc)))),
inference(demodulation,[status(thm)],[c_277,c_484]) ).
tcf(c_680,plain,
k(meet(aa,meet(k(aa),meet(bb,cc)))) = k(meet(aa,meet(bb,cc))),
inference(theory_normalisation,[status(thm)],[c_156,c_86,c_87,c_80,c_81]) ).
tcf(c_681,plain,
join(k(aa),join(k(k(aa)),join(k(bb),k(cc)))) = join(k(aa),join(k(bb),k(cc))),
inference(demodulation,[status(thm)],[c_680,c_83,c_295]) ).
tcf(c_719,plain,
k(meet(aa,meet(bb,meet(k(k(bb)),cc)))) = k(meet(aa,meet(bb,cc))),
inference(theory_normalisation,[status(thm)],[c_160,c_86,c_87,c_80,c_81]) ).
tcf(c_720,plain,
join(k(aa),join(k(bb),join(k(k(k(bb))),k(cc)))) = join(k(aa),join(k(bb),k(cc))),
inference(demodulation,[status(thm)],[c_719,c_83,c_295]) ).
tcf(c_727,plain,
! [X0: $i] : join(k(aa),join(X0,join(k(bb),join(k(k(k(bb))),k(cc))))) = join(X0,join(k(aa),join(k(bb),k(cc)))),
inference(superposition,[status(thm)],[c_720,c_238]) ).
tcf(c_894,plain,
$false,
inference(ground_joinability,[status(thm)],[c_485,c_238,c_681,c_727]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT036-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n003.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 20:05:50 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 3.26/1.21 % SZS status Started for theBenchmark.p
% 3.26/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 3.26/1.21
% 3.26/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.26/1.21
% 3.26/1.21 % ------ iProver source info
% 3.26/1.21
% 3.26/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 3.26/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.26/1.21 % git: non_committed_changes: false
% 3.26/1.21
% 3.26/1.21 % ------ Parsing...% successful
% 3.26/1.21
% 3.26/1.21
% 3.26/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.26/1.21
% 3.26/1.21 % ------ Preprocessing... sup_sim: 5 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.26/1.21
% 3.26/1.21 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.26/1.21
% 3.26/1.21 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.26/1.21 % ------ Proving...
% 3.26/1.21 % ------ Problem Properties
% 3.26/1.21
% 3.26/1.21 %
% 3.26/1.21 % clauses 18
% 3.26/1.21 % conjectures 0
% 3.26/1.21 % EPR 0
% 3.26/1.21 % Horn 18
% 3.26/1.21 % unary 17
% 3.26/1.21 % binary 1
% 3.26/1.21 % lits 19
% 3.26/1.21 % lits eq 19
% 3.26/1.21 % fd_pure 0
% 3.26/1.21 % fd_pseudo 0
% 3.26/1.21 % fd_cond 0
% 3.26/1.21 % fd_pseudo_cond 0
% 3.26/1.21 % AC symbols 2
% 3.26/1.21
% 3.26/1.21 % ------ Schedule dynamic 5 is on
% 3.26/1.21
% 3.26/1.21 % ------ no conjectures: strip conj schedule
% 3.26/1.21
% 3.26/1.21 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.26/1.21
% 3.26/1.21
% 3.26/1.21 % ------
% 3.26/1.21 % Current options:
% 3.26/1.21 % ------
% 3.26/1.21
% 3.26/1.21
% 3.26/1.21 %
% 3.26/1.21
% 3.26/1.21 % ------ Proving...
% 3.26/1.21 %
% 3.26/1.21
% 3.26/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 3.26/1.21
% 3.26/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.26/1.21
% 3.26/1.21
%------------------------------------------------------------------------------