%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : REL023-2 : 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 : n008.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 8.34s 1.73s
% Output : CNFRefutation 8.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 11
% Syntax : Number of formulae : 67 ( 67 unt; 0 def)
% Number of atoms : 95 ( 66 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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 : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 96 ( 0 sgn 96 !; 0 ?; 71 :)
% 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(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(f23,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_17) ).
fof(f24,plain,
composition(sk1,meet(sk2,sk3)) != join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(sk1,meet(sk2,sk3))),
inference(reorient_equations,[],[f23]) ).
fof(f29,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,[],[f24,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_70,plain,
! [X0: $i] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f8]) ).
tcf(c_71,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_72,plain,
! [X0: $i] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f10]) ).
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_81,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,[],[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(composition(sk1,complement(join(complement(sk2),complement(sk3)))),composition(complement(join(complement(converse(sk2)),complement(sk1))),complement(join(complement(sk2),complement(sk3))))) != composition(sk1,complement(join(complement(sk2),complement(sk3)))),
inference(theory_normalisation,[status(thm)],[c_81,c_67,c_66]) ).
tcf(c_138,plain,
composition(join(sk1,complement(join(complement(converse(sk2)),complement(sk1)))),complement(join(complement(sk2),complement(sk3)))) != composition(sk1,complement(join(complement(sk2),complement(sk3)))),
inference(demodulation,[status(thm)],[c_101,c_71]) ).
tcf(c_215,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_218,plain,
! [X0: $i,X1: $i] : join(X0,complement(X0)) = join(X1,complement(X1)),
inference(superposition,[status(thm)],[c_76,c_76]) ).
tcf(c_220,plain,
! [X0: $i] : join(X0,complement(X0)) = iPr_def_10,
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_218]) ).
tcf(c_289,plain,
! [X0: $i] : composition(converse(one),converse(X0)) = converse(X0),
inference(superposition,[status(thm)],[c_70,c_74]) ).
tcf(c_298,plain,
! [X0: $i] : composition(converse(one),X0) = X0,
inference(superposition,[status(thm)],[c_72,c_289]) ).
tcf(c_307,plain,
converse(one) = one,
inference(superposition,[status(thm)],[c_70,c_298]) ).
tcf(c_310,plain,
! [X0: $i] : composition(one,X0) = X0,
inference(demodulation,[status(thm)],[c_298,c_307]) ).
tcf(c_2998,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_220,c_67]) ).
tcf(c_3025,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_220,c_67]) ).
tcf(c_3031,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(join(X0,X1)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_67,c_220]) ).
tcf(c_3046,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(X0))) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_66,c_2998]) ).
tcf(c_3081,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(X0))) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_66,c_3025]) ).
tcf(c_3400,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,complement(X0))) = join(X2,join(X1,complement(X2))),
inference(superposition,[status(thm)],[c_3046,c_3046]) ).
tcf(c_3405,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(X0))) = iPr_def_11(X1),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_3400]) ).
tcf(c_3478,plain,
! [X0: $i] : join(iPr_def_10,X0) = iPr_def_11(X0),
inference(demodulation,[status(thm)],[c_3081,c_3405]) ).
tcf(c_3530,plain,
! [X0: $i] : join(X0,iPr_def_10) = iPr_def_11(X0),
inference(superposition,[status(thm)],[c_3478,c_66]) ).
tcf(c_3570,plain,
! [X0: $i] : join(X0,join(iPr_def_10,complement(iPr_def_11(X0)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3530,c_3031]) ).
tcf(c_3582,plain,
! [X0: $i] : join(X0,iPr_def_11(complement(iPr_def_11(X0)))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_3570,c_3478]) ).
tcf(c_5532,plain,
! [X0: $i] : join(complement(X0),composition(converse(one),complement(X0))) = complement(X0),
inference(superposition,[status(thm)],[c_310,c_98]) ).
tcf(c_5539,plain,
! [X0: $i] : join(complement(X0),complement(X0)) = complement(X0),
inference(demodulation,[status(thm)],[c_5532,c_307,c_310]) ).
tcf(c_6329,plain,
! [X0: $i] : join(complement(join(complement(X0),X0)),complement(complement(X0))) = X0,
inference(superposition,[status(thm)],[c_5539,c_97]) ).
tcf(c_6339,plain,
! [X0: $i] : join(X0,complement(X0)) = iPr_def_11(complement(X0)),
inference(superposition,[status(thm)],[c_5539,c_3405]) ).
tcf(c_6342,plain,
! [X0: $i] : iPr_def_11(complement(X0)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_6339,c_220]) ).
tcf(c_6344,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_6329,c_66,c_220]) ).
tcf(c_6355,plain,
! [X0: $i] : join(X0,iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_3582,c_6342]) ).
tcf(c_9021,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(X0),complement(iPr_def_10)))) = X0,
inference(superposition,[status(thm)],[c_6355,c_97]) ).
tcf(c_13814,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(iPr_def_10),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_66,c_9021]) ).
tcf(c_15174,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(X0)) = complement(X0),
inference(superposition,[status(thm)],[c_6344,c_13814]) ).
tcf(c_15650,plain,
! [X0: $i] : complement(complement(X0)) = X0,
inference(superposition,[status(thm)],[c_15174,c_6344]) ).
tcf(c_15820,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_15650,c_5539]) ).
tcf(c_15929,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_15820,c_67]) ).
tcf(c_15940,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,X0)) = join(X1,X0),
inference(superposition,[status(thm)],[c_15820,c_215]) ).
tcf(c_17839,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),X0) = X0,
inference(superposition,[status(thm)],[c_97,c_15929]) ).
tcf(c_17930,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_17839,c_67,c_66]) ).
tcf(c_18267,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(X1,complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_15940,c_17930]) ).
tcf(c_18339,plain,
composition(sk1,complement(join(complement(sk2),complement(sk3)))) != composition(sk1,complement(join(complement(sk2),complement(sk3)))),
inference(demodulation,[status(thm)],[c_138,c_18267]) ).
tcf(c_18340,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_18339]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL023-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n008.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 07:19:09 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.39 Running UEQ theorem proving
% 0.11/0.39 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
% 0.11/0.40
% 0.11/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.40
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.42 % Proving...
% 8.34/1.73 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 8.34/1.73 % SZS status Started for theBenchmark.p
% 8.34/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 8.34/1.73
% 8.34/1.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.34/1.73
% 8.34/1.73 % ------ iProver source info
% 8.34/1.73
% 8.34/1.73 % git: date: 2026-07-19 20:42:38 +0200
% 8.34/1.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.34/1.73 % git: non_committed_changes: false
% 8.34/1.73
% 8.34/1.73 % ------ Parsing...% successful
% 8.34/1.73
% 8.34/1.73
% 8.34/1.73 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.34/1.73
% 8.34/1.73 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 8.34/1.73
% 8.34/1.73 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.34/1.73
% 8.34/1.73 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.34/1.73 % ------ Proving...
% 8.34/1.73 % ------ Problem Properties
% 8.34/1.73
% 8.34/1.73 %
% 8.34/1.73 % clauses 16
% 8.34/1.73 % conjectures 0
% 8.34/1.73 % EPR 0
% 8.34/1.73 % Horn 16
% 8.34/1.73 % unary 16
% 8.34/1.73 % binary 0
% 8.34/1.74 % lits 16
% 8.34/1.74 % lits eq 16
% 8.34/1.74 % fd_pure 0
% 8.34/1.74 % fd_pseudo 0
% 8.34/1.74 % fd_cond 0
% 8.34/1.74 % fd_pseudo_cond 0
% 8.34/1.74 % AC symbols 1
% 8.34/1.74
% 8.34/1.74 % ------ Input Options Time Limit: Unbounded
% 8.34/1.74
% 8.34/1.74
% 8.34/1.74 % ------
% 8.34/1.74 % Current options:
% 8.34/1.74 % ------
% 8.34/1.74
% 8.34/1.74
% 8.34/1.74 %
% 8.34/1.74
% 8.34/1.74 % ------ Proving...
% 8.34/1.74 %
% 8.34/1.74
% 8.34/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 8.34/1.74
% 8.34/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.34/1.74
% 8.34/1.74
%------------------------------------------------------------------------------