%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : REL005-4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.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 02:36:32 PM UTC 2026
% Result : Unsatisfiable 115.67s 37.56s
% Output : CNFRefutation 115.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 13
% Syntax : Number of formulae : 85 ( 79 unt; 0 def)
% Number of atoms : 91 ( 90 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 13 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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 : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 115 ( 0 sgn 115 !; 0 ?; 86 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/REL001-0.ax',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
fof(f23,negated_conjecture,
( join(meet(converse(sk1),converse(sk2)),converse(meet(sk1,sk2))) != converse(meet(sk1,sk2))
| join(converse(meet(sk1,sk2)),meet(converse(sk1),converse(sk2))) != meet(converse(sk1),converse(sk2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
( converse(meet(sk1,sk2)) != join(meet(converse(sk1),converse(sk2)),converse(meet(sk1,sk2)))
| meet(converse(sk1),converse(sk2)) != join(converse(meet(sk1,sk2)),meet(converse(sk1),converse(sk2))) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f29,plain,
( converse(complement(join(complement(sk1),complement(sk2)))) != join(complement(join(complement(converse(sk1)),complement(converse(sk2)))),converse(complement(join(complement(sk1),complement(sk2)))))
| complement(join(complement(converse(sk1)),complement(converse(sk2)))) != join(converse(complement(join(complement(sk1),complement(sk2)))),complement(join(complement(converse(sk1)),complement(converse(sk2))))) ),
inference(definition_unfolding,[],[f24,f6,f6,f6,f6,f6,f6]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_70,plain,
! [X0: $i] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f8]) ).
tcf(c_72,plain,
! [X0: $i] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f10]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] : composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[],[f14]) ).
tcf(c_76,plain,
! [X0: $i] : join(X0,complement(X0)) = top,
inference(cnf_transformation,[],[f15]) ).
tcf(c_77,plain,
! [X0: $i] : complement(join(complement(X0),complement(complement(X0)))) = zero,
inference(cnf_transformation,[],[f25]) ).
tcf(c_81,negated_conjecture,
( ( join(converse(complement(join(complement(sk1),complement(sk2)))),complement(join(complement(converse(sk1)),complement(converse(sk2))))) != complement(join(complement(converse(sk1)),complement(converse(sk2)))) )
| ( join(complement(join(complement(converse(sk1)),complement(converse(sk2)))),converse(complement(join(complement(sk1),complement(sk2))))) != converse(complement(join(complement(sk1),complement(sk2)))) ) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_68,c_67,c_66]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_75,c_67,c_66]) ).
tcf(c_101,negated_conjecture,
( ( join(converse(complement(join(complement(sk1),complement(sk2)))),complement(join(complement(converse(sk1)),complement(converse(sk2))))) != converse(complement(join(complement(sk1),complement(sk2)))) )
| ( join(converse(complement(join(complement(sk1),complement(sk2)))),complement(join(complement(converse(sk1)),complement(converse(sk2))))) != complement(join(complement(converse(sk1)),complement(converse(sk2)))) ) ),
inference(theory_normalisation,[status(thm)],[c_81,c_67,c_66]) ).
tcf(c_140,plain,
complement(top) = zero,
inference(demodulation,[status(thm)],[c_77,c_76]) ).
tcf(c_219,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_67,c_66]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_72,c_73]) ).
tcf(c_261,plain,
! [X0: $i] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_76,c_97]) ).
tcf(c_267,plain,
! [X0: $i] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_261,c_67,c_66]) ).
tcf(c_268,plain,
! [X0: $i] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(demodulation,[status(thm)],[c_267,c_140]) ).
tcf(c_276,plain,
! [X0: $i,X1: $i] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_72,c_74]) ).
tcf(c_285,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_76,c_67]) ).
tcf(c_286,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_97,c_67]) ).
tcf(c_294,plain,
! [X0: $i,X1: $i] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_70,c_69]) ).
tcf(c_357,plain,
! [X0: $i] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_76,c_231]) ).
tcf(c_469,plain,
! [X0: $i] : join(complement(converse(top)),complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
inference(superposition,[status(thm)],[c_357,c_97]) ).
tcf(c_1295,plain,
! [X0: $i] : composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_70,c_276]) ).
tcf(c_1321,plain,
! [X0: $i] : composition(converse(one),X0) = X0,
inference(demodulation,[status(thm)],[c_1295,c_72]) ).
tcf(c_1401,plain,
converse(one) = one,
inference(superposition,[status(thm)],[c_1321,c_70]) ).
tcf(c_1409,plain,
! [X0: $i] : composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_1321,c_294]) ).
tcf(c_1410,plain,
! [X0: $i] : composition(one,X0) = X0,
inference(demodulation,[status(thm)],[c_1409,c_1321]) ).
tcf(c_1487,plain,
! [X0: $i] : join(complement(X0),composition(one,complement(composition(one,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1401,c_98]) ).
tcf(c_1503,plain,
! [X0: $i] : join(complement(X0),complement(X0)) = complement(X0),
inference(demodulation,[status(thm)],[c_1487,c_1410]) ).
tcf(c_1508,plain,
! [X0: $i] : join(zero,complement(complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_268,c_1503]) ).
tcf(c_1816,plain,
! [X0: $i] : join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[status(thm)],[c_76,c_285]) ).
tcf(c_2084,plain,
join(zero,zero) = zero,
inference(superposition,[status(thm)],[c_140,c_1503]) ).
tcf(c_2090,plain,
! [X0: $i] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[status(thm)],[c_1503,c_285]) ).
tcf(c_2100,plain,
! [X0: $i] : join(top,complement(X0)) = top,
inference(demodulation,[status(thm)],[c_2090,c_76]) ).
tcf(c_2113,plain,
! [X0: $i] : join(X0,top) = top,
inference(demodulation,[status(thm)],[c_1816,c_2100]) ).
tcf(c_2153,plain,
! [X0: $i] : join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_2084,c_67]) ).
tcf(c_2161,plain,
! [X0: $i] : join(top,X0) = top,
inference(superposition,[status(thm)],[c_2113,c_66]) ).
tcf(c_2190,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_2161,c_357]) ).
tcf(c_2573,plain,
! [X0: $i] : join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_1508,c_2153]) ).
tcf(c_2582,plain,
! [X0: $i] : complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_1508,c_2573]) ).
tcf(c_2649,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_2582,c_1503]) ).
tcf(c_2653,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,X1)),complement(join(X0,complement(X1)))) = complement(X0),
inference(superposition,[status(thm)],[c_2582,c_97]) ).
tcf(c_2751,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,X0)) = join(X1,X0),
inference(superposition,[status(thm)],[c_2649,c_219]) ).
tcf(c_10806,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[status(thm)],[c_286,c_2751]) ).
tcf(c_10838,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),X1))),
inference(theory_normalisation,[status(thm)],[c_10806,c_67,c_66]) ).
tcf(c_10839,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(demodulation,[status(thm)],[c_10838,c_2582,c_2653]) ).
tcf(c_11869,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(X1,complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_2751,c_10839]) ).
tcf(c_12106,plain,
! [X0: $i,X1: $i] : join(X0,converse(complement(join(X1,complement(converse(X0)))))) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_11869,c_231]) ).
tcf(c_12135,plain,
! [X0: $i,X1: $i] : join(X0,converse(complement(join(X1,complement(converse(X0)))))) = X0,
inference(demodulation,[status(thm)],[c_12106,c_72]) ).
tcf(c_49725,plain,
! [X0: $i] : join(zero,complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
inference(light_normalisation,[status(thm)],[c_469,c_140,c_2190]) ).
tcf(c_49726,plain,
! [X0: $i] : complement(join(complement(X0),complement(converse(complement(converse(complement(X0))))))) = X0,
inference(demodulation,[status(thm)],[c_49725,c_2573]) ).
tcf(c_49732,plain,
! [X0: $i] : complement(join(X0,complement(converse(complement(converse(X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_2582,c_49726]) ).
tcf(c_49825,plain,
! [X0: $i] : join(complement(converse(complement(X0))),converse(X0)) = complement(converse(complement(X0))),
inference(superposition,[status(thm)],[c_49726,c_12135]) ).
tcf(c_49828,plain,
! [X0: $i] : join(converse(X0),complement(converse(complement(X0)))) = complement(converse(complement(X0))),
inference(theory_normalisation,[status(thm)],[c_49825,c_67,c_66]) ).
tcf(c_52922,plain,
! [X0: $i] : complement(join(converse(X0),complement(converse(complement(X0))))) = complement(converse(X0)),
inference(superposition,[status(thm)],[c_72,c_49732]) ).
tcf(c_53045,plain,
! [X0: $i] : converse(complement(X0)) = complement(converse(X0)),
inference(demodulation,[status(thm)],[c_52922,c_2582,c_49828]) ).
tcf(c_53121,plain,
( ( join(complement(converse(join(complement(sk1),complement(sk2)))),complement(join(complement(converse(sk1)),complement(converse(sk2))))) != complement(converse(join(complement(sk1),complement(sk2)))) )
| ( join(complement(converse(join(complement(sk1),complement(sk2)))),complement(join(complement(converse(sk1)),complement(converse(sk2))))) != complement(join(complement(converse(sk1)),complement(converse(sk2)))) ) ),
inference(demodulation,[status(thm)],[c_101,c_53045]) ).
tcf(c_53323,plain,
! [X0: $i,X1: $i] : join(converse(X0),complement(converse(X1))) = converse(join(X0,complement(X1))),
inference(superposition,[status(thm)],[c_53045,c_73]) ).
tcf(c_112545,plain,
! [X0: $i,X1: $i] : join(complement(converse(X0)),complement(converse(X1))) = converse(join(complement(X0),complement(X1))),
inference(superposition,[status(thm)],[c_53045,c_53323]) ).
tcf(c_112674,plain,
join(complement(converse(join(complement(sk1),complement(sk2)))),complement(converse(join(complement(sk1),complement(sk2))))) != complement(converse(join(complement(sk1),complement(sk2)))),
inference(demodulation,[status(thm)],[c_53121,c_112545]) ).
tcf(c_112675,plain,
$false,
inference(ground_joinability,[status(thm)],[c_112674,c_2649]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL005-4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 07:06:17 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 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
% 0.15/0.41
% 0.15/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.41
% 0.15/0.41 % Detected problem language: tptp
% 0.15/0.42 % Proving...
% 115.67/37.56 % SZS status Started for theBenchmark.p
% 115.67/37.56 % SZS status Unsatisfiable for theBenchmark.p
% 115.67/37.56
% 115.67/37.56 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 115.67/37.56
% 115.67/37.56 % ------ iProver source info
% 115.67/37.56
% 115.67/37.56 % git: date: 2026-07-19 20:42:38 +0200
% 115.67/37.56 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 115.67/37.56 % git: non_committed_changes: false
% 115.67/37.56
% 115.67/37.56 % ------ Parsing...% successful
% 115.67/37.56
% 115.67/37.56
% 115.67/37.56 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 115.67/37.56
% 115.67/37.56 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 115.67/37.56
% 115.67/37.56 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 115.67/37.56
% 115.67/37.56 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 115.67/37.56 % ------ Proving...
% 115.67/37.56 % ------ Problem Properties
% 115.67/37.56
% 115.67/37.56 %
% 115.67/37.56 % clauses 16
% 115.67/37.56 % conjectures 1
% 115.67/37.56 % EPR 0
% 115.67/37.56 % Horn 16
% 115.67/37.56 % unary 15
% 115.67/37.56 % binary 1
% 115.67/37.56 % lits 17
% 115.67/37.56 % lits eq 17
% 115.67/37.56 % fd_pure 0
% 115.67/37.56 % fd_pseudo 0
% 115.67/37.56 % fd_cond 0
% 115.67/37.56 % fd_pseudo_cond 0
% 115.67/37.56 % AC symbols 1
% 115.67/37.56
% 115.67/37.56 % ------ Input Options Time Limit: Unbounded
% 115.67/37.56
% 115.67/37.56
% 115.67/37.56 % ------
% 115.67/37.56 % Current options:
% 115.67/37.56 % ------
% 115.67/37.56
% 115.67/37.56
% 115.67/37.56 %
% 115.67/37.56
% 115.67/37.56 % ------ Proving...
% 115.67/37.56 %
% 115.67/37.56
% 115.67/37.56 % SZS status Unsatisfiable for theBenchmark.p
% 115.67/37.56
% 115.67/37.56 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 115.67/37.56
% 115.67/37.56
%------------------------------------------------------------------------------