%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : REL046-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.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 02:37:01 PM UTC 2026
% Result : Unsatisfiable 2.54s 1.09s
% Output : CNFRefutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 22 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 9 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 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 : 25 ( 0 sgn 25 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux3_a_kind_of_de_Morgan_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f17,negated_conjecture,
join(sk1,meet(sk2,sk3)) = meet(sk2,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
meet(sk2,sk3) = join(sk1,meet(sk2,sk3)),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( join(sk1,sk3) != sk3
| join(sk1,sk2) != sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
( sk3 != join(sk1,sk3)
| sk2 != join(sk1,sk2) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,plain,
complement(join(complement(sk2),complement(sk3))) = join(sk1,complement(join(complement(sk2),complement(sk3)))),
inference(definition_unfolding,[],[f18,f6,f6]) ).
tcf(c_64,negated_conjecture,
join(sk1,complement(join(complement(sk2),complement(sk3)))) = complement(join(complement(sk2),complement(sk3))),
inference(cnf_transformation,[],[f21]) ).
tcf(c_65,negated_conjecture,
( ( join(sk1,sk3) != sk3 )
| ( join(sk1,sk2) != sk2 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_84,negated_conjecture,
( ( join(sk3,sk1) != sk3 )
| ( join(sk2,sk1) != sk2 ) ),
inference(theory_normalisation,[status(thm)],[c_65,c_66,c_67]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_69,c_66,c_67]) ).
tcf(c_234,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[status(thm)],[c_67,c_85]) ).
tcf(c_257,plain,
! [X0: $i] : join(sk1,join(complement(join(complement(sk2),complement(sk3))),X0)) = join(complement(join(complement(sk2),complement(sk3))),X0),
inference(superposition,[status(thm)],[c_64,c_66]) ).
tcf(c_397,plain,
join(sk1,sk2) = sk2,
inference(superposition,[status(thm)],[c_85,c_257]) ).
tcf(c_400,plain,
join(sk2,sk1) = sk2,
inference(theory_normalisation,[status(thm)],[c_397,c_66,c_67]) ).
tcf(c_402,plain,
join(sk3,sk1) != sk3,
inference(backward_subsumption_resolution,[status(thm)],[c_84,c_400]) ).
tcf(c_3030,plain,
join(sk1,sk3) = sk3,
inference(superposition,[status(thm)],[c_234,c_257]) ).
tcf(c_3040,plain,
join(sk3,sk1) = sk3,
inference(theory_normalisation,[status(thm)],[c_3030,c_66,c_67]) ).
tcf(c_3041,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3040,c_402]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL046-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 07:37:13 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 2.54/1.09 % SZS status Started for theBenchmark.p
% 2.54/1.09 % SZS status Unsatisfiable for theBenchmark.p
% 2.54/1.09
% 2.54/1.09 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.54/1.09
% 2.54/1.09 % ------ iProver source info
% 2.54/1.09
% 2.54/1.09 % git: date: 2026-07-19 20:42:38 +0200
% 2.54/1.09 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.54/1.09 % git: non_committed_changes: false
% 2.54/1.09
% 2.54/1.09 % ------ Parsing...% successful
% 2.54/1.09
% 2.54/1.09
% 2.54/1.09 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.54/1.09
% 2.54/1.09 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.54/1.09
% 2.54/1.09 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.54/1.09
% 2.54/1.09 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.54/1.09 % ------ Proving...
% 2.54/1.09 % ------ Problem Properties
% 2.54/1.09
% 2.54/1.09 %
% 2.54/1.09 % clauses 11
% 2.54/1.09 % conjectures 2
% 2.54/1.09 % EPR 0
% 2.54/1.09 % Horn 11
% 2.54/1.09 % unary 10
% 2.54/1.09 % binary 1
% 2.54/1.09 % lits 12
% 2.54/1.09 % lits eq 12
% 2.54/1.09 % fd_pure 0
% 2.54/1.09 % fd_pseudo 0
% 2.54/1.09 % fd_cond 0
% 2.54/1.09 % fd_pseudo_cond 0
% 2.54/1.09 % AC symbols 1
% 2.54/1.09
% 2.54/1.09 % ------ Schedule dynamic 5 is on
% 2.54/1.09
% 2.54/1.09 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.54/1.09
% 2.54/1.09
% 2.54/1.09 % ------
% 2.54/1.09 % Current options:
% 2.54/1.09 % ------
% 2.54/1.09
% 2.54/1.09
% 2.54/1.09 %
% 2.54/1.09
% 2.54/1.09 % ------ Proving...
% 2.54/1.09 %
% 2.54/1.09
% 2.54/1.09 % SZS status Unsatisfiable for theBenchmark.p
% 2.54/1.09
% 2.54/1.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.54/1.09
% 2.54/1.09
%------------------------------------------------------------------------------