%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : REL031-2 : 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 : n018.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 02:36:56 PM UTC 2026
% Result : Unsatisfiable 27.39s 10.53s
% Output : CNFRefutation 27.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 48 ( 48 unt; 0 def)
% Number of atoms : 48 ( 47 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 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 : 55 ( 0 sgn 55 !; 0 ?; 38 :)
% 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(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(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(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(f23,negated_conjecture,
join(composition(converse(sk1),sk1),one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
one = join(composition(converse(sk1),sk1),one),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
join(composition(converse(sk2),sk2),one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_18) ).
fof(f26,plain,
one = join(composition(converse(sk2),sk2),one),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one) != one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_19) ).
fof(f28,plain,
one != join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one),
inference(reorient_equations,[],[f27]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_72,plain,
! [X0: $i] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f8]) ).
tcf(c_73,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_74,plain,
! [X0: $i] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f10]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] : composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_83,negated_conjecture,
join(composition(converse(sk1),sk1),one) = one,
inference(cnf_transformation,[],[f24]) ).
tcf(c_84,negated_conjecture,
join(composition(converse(sk2),sk2),one) = one,
inference(cnf_transformation,[],[f26]) ).
tcf(c_85,negated_conjecture,
join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one) != one,
inference(cnf_transformation,[],[f28]) ).
tcf(c_101,negated_conjecture,
join(one,composition(converse(sk1),sk1)) = one,
inference(theory_normalisation,[status(thm)],[c_83,c_69,c_68]) ).
tcf(c_102,negated_conjecture,
join(one,composition(converse(sk2),sk2)) = one,
inference(theory_normalisation,[status(thm)],[c_84,c_69,c_68]) ).
tcf(c_103,negated_conjecture,
join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2))) != one,
inference(theory_normalisation,[status(thm)],[c_85,c_69,c_68]) ).
tcf(c_148,plain,
join(one,composition(converse(sk2),composition(converse(sk1),composition(sk1,sk2)))) != one,
inference(demodulation,[status(thm)],[c_103,c_71,c_76]) ).
tcf(c_23601,plain,
! [X0: $i,X1: $i] : converse(join(converse(X0),converse(X1))) = join(X0,X1),
inference(superposition,[status(thm)],[c_75,c_74]) ).
tcf(c_24374,plain,
! [X0: $i] : composition(converse(one),converse(X0)) = converse(X0),
inference(superposition,[status(thm)],[c_72,c_76]) ).
tcf(c_24382,plain,
! [X0: $i,X1: $i] : converse(composition(converse(X0),converse(X1))) = composition(X1,X0),
inference(superposition,[status(thm)],[c_76,c_74]) ).
tcf(c_24397,plain,
! [X0: $i] : join(one,join(composition(converse(sk2),sk2),X0)) = join(one,X0),
inference(superposition,[status(thm)],[c_102,c_69]) ).
tcf(c_24742,plain,
! [X0: $i] : composition(converse(one),X0) = X0,
inference(superposition,[status(thm)],[c_74,c_24374]) ).
tcf(c_24768,plain,
converse(one) = one,
inference(superposition,[status(thm)],[c_24742,c_72]) ).
tcf(c_24779,plain,
! [X0: $i] : composition(one,X0) = X0,
inference(demodulation,[status(thm)],[c_24742,c_24768]) ).
tcf(c_24816,plain,
! [X0: $i,X1: $i] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(superposition,[status(thm)],[c_24779,c_73]) ).
tcf(c_24978,plain,
! [X0: $i,X1: $i] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_74,c_23601]) ).
tcf(c_25020,plain,
! [X0: $i,X1: $i] : converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
inference(superposition,[status(thm)],[c_74,c_24382]) ).
tcf(c_25028,plain,
! [X0: $i,X1: $i] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_74,c_24382]) ).
tcf(c_25702,plain,
! [X0: $i] : join(one,composition(join(converse(sk2),X0),sk2)) = join(one,composition(X0,sk2)),
inference(superposition,[status(thm)],[c_73,c_24397]) ).
tcf(c_30807,plain,
! [X0: $i] : join(X0,composition(composition(converse(sk1),sk1),X0)) = composition(one,X0),
inference(superposition,[status(thm)],[c_101,c_24816]) ).
tcf(c_30881,plain,
! [X0: $i] : join(X0,composition(converse(sk1),composition(sk1,X0))) = X0,
inference(demodulation,[status(thm)],[c_30807,c_71,c_24779]) ).
tcf(c_30986,plain,
! [X0: $i] : join(X0,converse(composition(converse(sk1),composition(sk1,converse(X0))))) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_30881,c_24978]) ).
tcf(c_31001,plain,
! [X0: $i] : join(X0,composition(X0,composition(converse(sk1),sk1))) = X0,
inference(demodulation,[status(thm)],[c_30986,c_71,c_74,c_25020,c_25028]) ).
tcf(c_71158,plain,
join(one,composition(composition(converse(sk2),composition(converse(sk1),sk1)),sk2)) = join(one,composition(converse(sk2),sk2)),
inference(superposition,[status(thm)],[c_31001,c_25702]) ).
tcf(c_71173,plain,
join(one,composition(converse(sk2),composition(converse(sk1),composition(sk1,sk2)))) = one,
inference(demodulation,[status(thm)],[c_71158,c_71,c_102]) ).
tcf(c_71177,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_148,c_71173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL031-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.43 % Computer : n018.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Thu Sep 24 07:28:33 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.49 Running UEQ theorem proving
% 0.16/0.49 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
% 0.25/0.51
% 0.25/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.25/0.51
% 0.25/0.51 % Detected problem language: tptp
% 0.25/0.53 % Proving...
% 27.39/10.53 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 27.39/10.53 % SZS status Started for theBenchmark.p
% 27.39/10.53 % SZS status Unsatisfiable for theBenchmark.p
% 27.39/10.53
% 27.39/10.53 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 27.39/10.53
% 27.39/10.53 % ------ iProver source info
% 27.39/10.53
% 27.39/10.53 % git: date: 2026-07-19 20:42:38 +0200
% 27.39/10.53 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 27.39/10.53 % git: non_committed_changes: false
% 27.39/10.53
% 27.39/10.53 % ------ Parsing...% successful
% 27.39/10.53
% 27.39/10.53
% 27.39/10.53 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 27.39/10.53
% 27.39/10.53 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 27.39/10.53
% 27.39/10.53 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 27.39/10.53
% 27.39/10.53 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 27.39/10.53 % ------ Proving...
% 27.39/10.53 % ------ Problem Properties
% 27.39/10.53
% 27.39/10.53 %
% 27.39/10.53 % clauses 18
% 27.39/10.53 % conjectures 2
% 27.39/10.53 % EPR 0
% 27.39/10.53 % Horn 18
% 27.39/10.53 % unary 18
% 27.39/10.53 % binary 0
% 27.39/10.53 % lits 18
% 27.39/10.53 % lits eq 18
% 27.39/10.53 % fd_pure 0
% 27.39/10.53 % fd_pseudo 0
% 27.39/10.53 % fd_cond 0
% 27.39/10.53 % fd_pseudo_cond 0
% 27.39/10.53 % AC symbols 1
% 27.39/10.53
% 27.39/10.53 % ------ Input Options Time Limit: Unbounded
% 27.39/10.53
% 27.39/10.53
% 27.39/10.53 % ------
% 27.39/10.53 % Current options:
% 27.39/10.53 % ------
% 27.39/10.53
% 27.39/10.53
% 27.39/10.53 %
% 27.39/10.53
% 27.39/10.53 % ------ Proving...
% 27.39/10.53 %
% 27.39/10.53
% 27.39/10.53 % SZS status Unsatisfiable for theBenchmark.p
% 27.39/10.53
% 27.39/10.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 27.39/10.53
% 27.39/10.53
%------------------------------------------------------------------------------