%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CAT014-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n014.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 01:01:10 PM UTC 2026
% Result : Unsatisfiable 2.43s 1.16s
% Output : CNFRefutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 18 unt; 2 def)
% Number of atoms : 58 ( 12 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 27 ( 16 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0] : identity_map(codomain(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',codomain_is_an_identity_map) ).
fof(f13,axiom,
! [X0] : defined(codomain(X0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',mapping_from_codomain_of_x_to_x) ).
fof(f15,axiom,
! [X0] : product(codomain(X0),X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',product_on_codomain) ).
fof(f17,axiom,
! [X0,X1] :
( product(X0,X1,X0)
| ~ identity_map(X1)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',identity2) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( X2 = X3
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',composition_is_well_defined) ).
fof(f19,negated_conjecture,
codomain(codomain(a)) != codomain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_is_idempotent) ).
fof(f20,plain,
codomain(a) != codomain(codomain(a)),
inference(reorient_equations,[],[f19]) ).
tcf(c_78,plain,
! [X0: $i] : identity_map(codomain(X0)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_80,plain,
! [X0: $i] : defined(codomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
tcf(c_82,plain,
! [X0: $i] : product(codomain(X0),X0,X0),
inference(cnf_transformation,[],[f15]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( product(X0,X1,X0)
| ~ identity_map(X1)
| ~ defined(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_86,negated_conjecture,
codomain(codomain(a)) != codomain(a),
inference(cnf_transformation,[],[f20]) ).
tcf(c_344,definition,
iPr_def_10 = codomain(a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_345,definition,
iPr_def_11 = codomain(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_346,negated_conjecture,
iPr_def_11 != iPr_def_10,
inference(demodulation,[status(thm)],[c_86,c_344,c_345]) ).
tcf(c_625,plain,
identity_map(iPr_def_10),
inference(superposition,[status(thm)],[c_344,c_78]) ).
tcf(c_626,plain,
product(iPr_def_11,iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_345,c_82]) ).
tcf(c_627,plain,
defined(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_345,c_80]) ).
tcf(c_789,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ product(iPr_def_11,iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_626,c_85]) ).
tcf(c_1543,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ identity_map(iPr_def_10)
| ~ defined(iPr_def_11,iPr_def_10) ),
inference(superposition,[status(thm)],[c_84,c_789]) ).
tcf(c_1546,plain,
iPr_def_10 = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_1543,c_625,c_627]) ).
tcf(c_1577,plain,
iPr_def_10 != iPr_def_10,
inference(demodulation,[status(thm)],[c_346,c_1546]) ).
tcf(c_1578,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_1577]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT014-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 06:56:02 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 2.43/1.16 % SZS status Started for theBenchmark.p
% 2.43/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 2.43/1.16
% 2.43/1.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.43/1.16
% 2.43/1.16 % ------ iProver source info
% 2.43/1.16
% 2.43/1.16 % git: date: 2026-07-19 20:42:38 +0200
% 2.43/1.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.43/1.16 % git: non_committed_changes: false
% 2.43/1.16
% 2.43/1.16 % ------ Parsing...% successful
% 2.43/1.16
% 2.43/1.16
% 2.43/1.16 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.43/1.16
% 2.43/1.16 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.43/1.16
% 2.43/1.16 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.43/1.16
% 2.43/1.16 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.43/1.16 % ------ Proving...
% 2.43/1.16 % ------ Problem Properties
% 2.43/1.16
% 2.43/1.16 %
% 2.43/1.16 % clauses 21
% 2.43/1.16 % conjectures 1
% 2.43/1.16 % EPR 12
% 2.43/1.16 % Horn 21
% 2.43/1.16 % unary 9
% 2.43/1.16 % binary 2
% 2.43/1.16 % lits 48
% 2.43/1.16 % lits eq 4
% 2.43/1.16 % fd_pure 0
% 2.43/1.16 % fd_pseudo 0
% 2.43/1.16 % fd_cond 0
% 2.43/1.16 % fd_pseudo_cond 1
% 2.43/1.16 % AC symbols 0
% 2.43/1.16
% 2.43/1.16 % ------ Schedule dynamic 5 is on
% 2.43/1.16
% 2.43/1.16 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.43/1.16
% 2.43/1.16
% 2.43/1.16 % ------
% 2.43/1.16 % Current options:
% 2.43/1.16 % ------
% 2.43/1.16
% 2.43/1.16
% 2.43/1.16 %
% 2.43/1.16
% 2.43/1.16 % ------ Proving...
% 2.43/1.16 %
% 2.43/1.16
% 2.43/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 2.43/1.16
% 2.43/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.43/1.16
% 2.43/1.16
%------------------------------------------------------------------------------