%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : REL023-1 : 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 : n017.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 02:36:52 PM UTC 2026
% Result : Unsatisfiable 8.09s 2.46s
% Output : CNFRefutation 8.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 66 ( 66 unt; 0 def)
% Number of atoms : 66 ( 65 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 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 : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 86 ( 0 sgn 86 !; 0 ?; 56 :)
% 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(f7,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
fof(f17,negated_conjecture,
join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(sk1,meet(sk2,sk3))) != composition(sk1,meet(sk2,sk3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
composition(sk1,meet(sk2,sk3)) != join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(sk1,meet(sk2,sk3))),
inference(reorient_equations,[],[f17]) ).
fof(f19,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f20,plain,
composition(sk1,complement(join(complement(sk2),complement(sk3)))) != join(composition(complement(join(complement(sk1),complement(converse(sk2)))),complement(join(complement(sk2),complement(sk3)))),composition(sk1,complement(join(complement(sk2),complement(sk3))))),
inference(definition_unfolding,[],[f18,f6,f6,f6,f6]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_67,plain,
! [X0: $i] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f8]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
inference(cnf_transformation,[],[f9]) ).
tcf(c_69,plain,
! [X0: $i] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f10]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] : composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[],[f14]) ).
tcf(c_73,plain,
! [X0: $i] : join(X0,complement(X0)) = top,
inference(cnf_transformation,[],[f15]) ).
tcf(c_74,plain,
! [X0: $i] : complement(join(complement(X0),complement(complement(X0)))) = zero,
inference(cnf_transformation,[],[f19]) ).
tcf(c_75,negated_conjecture,
join(composition(complement(join(complement(sk1),complement(converse(sk2)))),complement(join(complement(sk2),complement(sk3)))),composition(sk1,complement(join(complement(sk2),complement(sk3))))) != composition(sk1,complement(join(complement(sk2),complement(sk3)))),
inference(cnf_transformation,[],[f20]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_65,c_64,c_63]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_72,c_64,c_63]) ).
tcf(c_90,negated_conjecture,
join(composition(sk1,complement(join(complement(sk2),complement(sk3)))),composition(complement(join(complement(sk1),complement(converse(sk2)))),complement(join(complement(sk2),complement(sk3))))) != composition(sk1,complement(join(complement(sk2),complement(sk3)))),
inference(theory_normalisation,[status(thm)],[c_75,c_64,c_63]) ).
tcf(c_119,plain,
complement(top) = zero,
inference(ac_demodulation,[status(thm)],[c_74,c_73,c_64,c_63]) ).
tcf(c_120,plain,
composition(join(complement(join(complement(sk1),complement(converse(sk2)))),sk1),complement(join(complement(sk2),complement(sk3)))) != composition(sk1,complement(join(complement(sk2),complement(sk3)))),
inference(ac_demodulation,[status(thm)],[c_90,c_68,c_64,c_63]) ).
tcf(c_121,plain,
composition(join(sk1,complement(join(complement(sk1),complement(converse(sk2))))),complement(join(complement(sk2),complement(sk3)))) != composition(sk1,complement(join(complement(sk2),complement(sk3)))),
inference(theory_normalisation,[status(thm)],[c_120,c_64,c_63]) ).
tcf(c_195,plain,
! [X0: $i] : join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
inference(superposition,[status(thm)],[c_119,c_89]) ).
tcf(c_205,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(X1,complement(composition(converse(X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_69,c_89]) ).
tcf(c_216,plain,
! [X0: $i,X1: $i] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_69,c_71]) ).
tcf(c_475,plain,
! [X0: $i,X1: $i] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_67,c_66]) ).
tcf(c_830,plain,
! [X0: $i] : composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_67,c_216]) ).
tcf(c_852,plain,
! [X0: $i] : composition(converse(one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_830,c_69]) ).
tcf(c_871,plain,
converse(one) = one,
inference(superposition,[status(thm)],[c_852,c_67]) ).
tcf(c_881,plain,
! [X0: $i] : composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_852,c_475]) ).
tcf(c_883,plain,
! [X0: $i] : composition(one,X0) = X0,
inference(light_normalisation,[status(thm)],[c_881,c_852]) ).
tcf(c_920,plain,
join(zero,composition(converse(one),complement(top))) = zero,
inference(superposition,[status(thm)],[c_883,c_195]) ).
tcf(c_923,plain,
join(zero,composition(one,zero)) = zero,
inference(light_normalisation,[status(thm)],[c_920,c_119,c_871]) ).
tcf(c_929,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[status(thm)],[c_63,c_88]) ).
tcf(c_1324,plain,
join(zero,zero) = zero,
inference(demodulation,[status(thm)],[c_923,c_883]) ).
tcf(c_1325,plain,
! [X0: $i] : join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_1324,c_64]) ).
tcf(c_3286,plain,
! [X0: $i] : join(complement(X0),complement(composition(converse(one),X0))) = complement(X0),
inference(superposition,[status(thm)],[c_883,c_205]) ).
tcf(c_3307,plain,
! [X0: $i] : join(complement(X0),complement(X0)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_3286,c_871,c_883]) ).
tcf(c_3680,plain,
! [X0: $i] : join(complement(join(complement(X0),X0)),complement(complement(X0))) = X0,
inference(superposition,[status(thm)],[c_3307,c_88]) ).
tcf(c_3694,plain,
! [X0: $i] : join(complement(complement(X0)),complement(join(X0,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_3680,c_64,c_63]) ).
tcf(c_3695,plain,
! [X0: $i] : join(complement(complement(X0)),zero) = X0,
inference(light_normalisation,[status(thm)],[c_3694,c_73,c_119]) ).
tcf(c_3696,plain,
! [X0: $i] : join(zero,complement(complement(X0))) = X0,
inference(theory_normalisation,[status(thm)],[c_3695,c_64,c_63]) ).
tcf(c_3737,plain,
! [X0: $i] : join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_3696,c_1325]) ).
tcf(c_3742,plain,
! [X0: $i] : complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_3696,c_3737]) ).
tcf(c_3881,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_3742,c_3307]) ).
tcf(c_4609,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_3881,c_64]) ).
tcf(c_19554,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,complement(X1))),X1) = X1,
inference(superposition,[status(thm)],[c_929,c_4609]) ).
tcf(c_19568,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(X1,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_19554,c_64,c_63]) ).
tcf(c_21113,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[status(thm)],[c_63,c_19568]) ).
tcf(c_21201,plain,
composition(sk1,complement(join(complement(sk2),complement(sk3)))) != composition(sk1,complement(join(complement(sk2),complement(sk3)))),
inference(demodulation,[status(thm)],[c_121,c_21113]) ).
tcf(c_21202,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_21201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL023-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/0.44 % Computer : n017.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Thu Sep 24 07:14:01 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/0.49 Running UEQ theorem proving
% 0.18/0.50 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
% 0.22/0.50
% 0.22/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.22/0.50
% 0.22/0.51 % Detected problem language: tptp
% 0.22/0.52 % Proving...
% 8.09/2.46 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 8.09/2.46 % SZS status Started for theBenchmark.p
% 8.09/2.46 % SZS status Unsatisfiable for theBenchmark.p
% 8.09/2.46
% 8.09/2.46 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.09/2.46
% 8.09/2.46 % ------ iProver source info
% 8.09/2.46
% 8.09/2.46 % git: date: 2026-07-19 20:42:38 +0200
% 8.09/2.46 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.09/2.46 % git: non_committed_changes: false
% 8.09/2.46
% 8.09/2.46 % ------ Parsing...% successful
% 8.09/2.46
% 8.09/2.46
% 8.09/2.46 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.09/2.46
% 8.09/2.46 % ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e %
% 8.09/2.46
% 8.09/2.46 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.09/2.46
% 8.09/2.46 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.09/2.46 % ------ Proving...
% 8.09/2.46 % ------ Problem Properties
% 8.09/2.46
% 8.09/2.46 %
% 8.09/2.46 % clauses 13
% 8.09/2.46 % conjectures 0
% 8.09/2.46 % EPR 0
% 8.09/2.46 % Horn 13
% 8.09/2.46 % unary 13
% 8.09/2.46 % binary 0
% 8.09/2.46 % lits 13
% 8.09/2.46 % lits eq 13
% 8.09/2.46 % fd_pure 0
% 8.09/2.46 % fd_pseudo 0
% 8.09/2.46 % fd_cond 0
% 8.09/2.46 % fd_pseudo_cond 0
% 8.09/2.46 % AC symbols 1
% 8.09/2.46
% 8.09/2.46 % ------ Input Options Time Limit: Unbounded
% 8.09/2.46
% 8.09/2.46
% 8.09/2.46 % ------
% 8.09/2.46 % Current options:
% 8.09/2.46 % ------
% 8.09/2.46
% 8.09/2.46
% 8.09/2.46 %
% 8.09/2.46
% 8.09/2.46 % ------ Proving...
% 8.09/2.46 %
% 8.09/2.46
% 8.09/2.46 % SZS status Unsatisfiable for theBenchmark.p
% 8.09/2.46
% 8.09/2.46 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.09/2.46
% 8.09/2.46
%------------------------------------------------------------------------------