%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : REL003-1 : 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 02:36:30 PM UTC 2026
% Result : Unsatisfiable 3.03s 1.33s
% Output : CNFRefutation 3.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 14 unt; 0 def)
% Number of atoms : 50 ( 49 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 35 ( 17 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 20 !; 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(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
fof(f17,negated_conjecture,
( join(converse(sk1),converse(sk2)) = converse(sk2)
| join(sk1,sk2) = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
( converse(sk2) = join(converse(sk1),converse(sk2))
| sk2 = join(sk1,sk2) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( join(converse(sk1),converse(sk2)) != converse(sk2)
| join(sk1,sk2) != sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
fof(f20,plain,
( converse(sk2) != join(converse(sk1),converse(sk2))
| sk2 != join(sk1,sk2) ),
inference(reorient_equations,[],[f19]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_70,plain,
! [X0: $i] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f10]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_76,negated_conjecture,
( ( join(sk1,sk2) = sk2 )
| ( join(converse(sk1),converse(sk2)) = converse(sk2) ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_77,negated_conjecture,
( ( join(sk1,sk2) != sk2 )
| ( join(converse(sk1),converse(sk2)) != converse(sk2) ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_90,negated_conjecture,
( ( join(sk2,sk1) = sk2 )
| ( join(converse(sk2),converse(sk1)) = converse(sk2) ) ),
inference(theory_normalisation,[status(thm)],[c_76,c_65,c_64]) ).
tcf(c_91,negated_conjecture,
( ( join(sk2,sk1) != sk2 )
| ( join(converse(sk2),converse(sk1)) != converse(sk2) ) ),
inference(theory_normalisation,[status(thm)],[c_77,c_65,c_64]) ).
tcf(c_94,plain,
( ( join(converse(sk2),converse(sk1)) != converse(sk2) )
| ( join(sk2,sk1) != sk2 ) ),
inference(prop_impl_just,[status(thm)],[c_91]) ).
tcf(c_95,plain,
( ( join(sk2,sk1) != sk2 )
| ( join(converse(sk2),converse(sk1)) != converse(sk2) ) ),
inference(renaming,[status(thm)],[c_94]) ).
tcf(c_96,plain,
( ( join(converse(sk2),converse(sk1)) = converse(sk2) )
| ( join(sk2,sk1) = sk2 ) ),
inference(prop_impl_just,[status(thm)],[c_90]) ).
tcf(c_97,plain,
( ( join(sk2,sk1) = sk2 )
| ( join(converse(sk2),converse(sk1)) = converse(sk2) ) ),
inference(renaming,[status(thm)],[c_96]) ).
tcf(c_151,plain,
( ( join(sk2,sk1) = sk2 )
| ( converse(join(sk2,sk1)) = converse(sk2) ) ),
inference(ac_demodulation,[status(thm)],[c_97,c_71,c_65,c_64]) ).
tcf(c_154,plain,
( ( join(sk2,sk1) != sk2 )
| ( converse(join(sk2,sk1)) != converse(sk2) ) ),
inference(ac_demodulation,[status(thm)],[c_95,c_71,c_65,c_64]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i] :
( ( converse(X0) = converse(X1) )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_179,plain,
( ( converse(join(sk2,sk1)) = converse(sk2) )
| ( join(sk2,sk1) = sk2 ) ),
inference(prop_impl_just,[status(thm)],[c_151]) ).
tcf(c_180,plain,
( ( join(sk2,sk1) = sk2 )
| ( converse(join(sk2,sk1)) = converse(sk2) ) ),
inference(renaming,[status(thm)],[c_179]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i] :
( ( converse(X0) = converse(X1) )
| ( X0 != X1 ) ),
inference(prop_impl_just,[status(thm)],[c_170]) ).
tcf(c_245,plain,
converse(join(sk2,sk1)) = converse(sk2),
inference(backward_subsumption_resolution,[status(thm)],[c_180,c_181]) ).
tcf(c_580,plain,
converse(join(sk2,sk1)) = converse(sk2),
inference(global_subsumption_just,[status(thm)],[c_151,c_245]) ).
tcf(c_586,plain,
join(sk2,sk1) = converse(converse(sk2)),
inference(superposition,[status(thm)],[c_580,c_70]) ).
tcf(c_627,plain,
join(sk2,sk1) = sk2,
inference(demodulation,[status(thm)],[c_586,c_70]) ).
tcf(c_884,plain,
join(sk2,sk1) != sk2,
inference(global_subsumption_just,[status(thm)],[c_154,c_154,c_245]) ).
tcf(c_886,plain,
$false,
inference(ground_joinability,[status(thm)],[c_884,c_627]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL003-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n017.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 : Thu Sep 24 07:01:16 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 0.13/0.43
% 0.13/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.43
% 0.13/0.44 % Detected problem language: tptp
% 0.13/0.45 % Proving...
% 3.03/1.33 % SZS status Started for theBenchmark.p
% 3.03/1.33 % SZS status Unsatisfiable for theBenchmark.p
% 3.03/1.33
% 3.03/1.33 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.03/1.33
% 3.03/1.33 % ------ iProver source info
% 3.03/1.33
% 3.03/1.33 % git: date: 2026-07-19 20:42:38 +0200
% 3.03/1.33 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.03/1.33 % git: non_committed_changes: false
% 3.03/1.33
% 3.03/1.33 % ------ Parsing...% successful
% 3.03/1.33
% 3.03/1.33
% 3.03/1.33 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.03/1.33
% 3.03/1.33 % ------ Preprocessing... sup_sim: 3 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.03/1.33
% 3.03/1.33 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.03/1.33
% 3.03/1.33 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.03/1.33 % ------ Proving...
% 3.03/1.33 % ------ Problem Properties
% 3.03/1.33
% 3.03/1.33 %
% 3.03/1.33 % clauses 14
% 3.03/1.33 % conjectures 0
% 3.03/1.33 % EPR 0
% 3.03/1.33 % Horn 13
% 3.03/1.33 % unary 12
% 3.03/1.33 % binary 2
% 3.03/1.33 % lits 16
% 3.03/1.33 % lits eq 16
% 3.03/1.33 % fd_pure 0
% 3.03/1.33 % fd_pseudo 0
% 3.03/1.33 % fd_cond 0
% 3.03/1.33 % fd_pseudo_cond 0
% 3.03/1.33 % AC symbols 1
% 3.03/1.33
% 3.03/1.33 % ------ Schedule dynamic 5 is on
% 3.03/1.33
% 3.03/1.33 % ------ no conjectures: strip conj schedule
% 3.03/1.33
% 3.03/1.33 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.03/1.33
% 3.03/1.33
% 3.03/1.33 % ------
% 3.03/1.33 % Current options:
% 3.03/1.33 % ------
% 3.03/1.33
% 3.03/1.33
% 3.03/1.33 %
% 3.03/1.33
% 3.03/1.33 % ------ Proving...
% 3.03/1.33 %
% 3.03/1.33
% 3.03/1.33 % SZS status Unsatisfiable for theBenchmark.p
% 3.03/1.33
% 3.03/1.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.03/1.33
% 3.03/1.33
%------------------------------------------------------------------------------