%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CAT008-1 : 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 : n007.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 01:01:08 PM UTC 2026
% Result : Unsatisfiable 4.44s 1.27s
% Output : CNFRefutation 4.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 37 ( 17 unt; 0 def)
% Number of atoms : 69 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 76 ( 44 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 54 ( 0 sgn 54 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X0,X1] :
( defined(X0,X1)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',associative_property1) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( defined(X1,X3)
| ~ defined(X2,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',associative_property2) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( defined(X3,X0)
| ~ defined(X3,X2)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',category_theory_axiom3) ).
fof(f10,axiom,
! [X0] : identity_map(domain(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',domain_is_an_identity_map) ).
fof(f11,axiom,
! [X0] : identity_map(codomain(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',codomain_is_an_identity_map) ).
fof(f14,axiom,
! [X0] : product(X0,domain(X0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',product_on_domain) ).
fof(f15,axiom,
! [X0] : product(codomain(X0),X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',product_on_codomain) ).
fof(f16,axiom,
! [X0,X1] :
( product(X0,X1,X1)
| ~ identity_map(X0)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',identity1) ).
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,axiom,
defined(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_defined) ).
fof(f20,negated_conjecture,
domain(a) != codomain(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_a_equals_codomain_of_b) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X1)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X1,X3)
| ~ defined(X2,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X3,X0)
| ~ defined(X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_78,plain,
! [X0: $i] : identity_map(domain(X0)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_79,plain,
! [X0: $i] : identity_map(codomain(X0)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_82,plain,
! [X0: $i] : product(X0,domain(X0),X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_83,plain,
! [X0: $i] : product(codomain(X0),X0,X0),
inference(cnf_transformation,[],[f15]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( product(X0,X1,X1)
| ~ identity_map(X0)
| ~ defined(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( product(X0,X1,X0)
| ~ identity_map(X1)
| ~ defined(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_86,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_87,plain,
defined(a,b),
inference(cnf_transformation,[],[f19]) ).
tcf(c_88,negated_conjecture,
domain(a) != codomain(b),
inference(cnf_transformation,[],[f20]) ).
tcf(c_90,plain,
identity_map(domain(a)),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_94,plain,
product(a,domain(a),a),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_591,plain,
! [X0: $i,X1: $i] :
( ~ product(X0,X1,codomain(b))
| ~ product(X0,X1,domain(a)) ),
inference(resolution,[status(thm)],[c_86,c_88]) ).
tcf(c_597,plain,
! [X0: $i] :
( ~ identity_map(X0)
| ~ defined(X0,codomain(b))
| ~ product(X0,codomain(b),domain(a)) ),
inference(resolution,[status(thm)],[c_591,c_84]) ).
tcf(c_633,plain,
! [X0: $i] :
( ~ identity_map(X0)
| ~ product(X0,codomain(b),domain(a)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_597,c_70]) ).
tcf(c_639,plain,
( ~ identity_map(codomain(b))
| ~ identity_map(domain(a))
| ~ defined(domain(a),codomain(b)) ),
inference(resolution,[status(thm)],[c_633,c_85]) ).
tcf(c_640,plain,
( ~ identity_map(codomain(b))
| ~ defined(domain(a),codomain(b)) ),
inference(global_subsumption_just,[status(thm)],[c_639,c_90,c_639]) ).
tcf(c_644,plain,
~ defined(domain(a),codomain(b)),
inference(forward_subsumption_resolution,[status(thm)],[c_640,c_79]) ).
tcf(c_651,plain,
! [X0: $i,X1: $i] :
( ~ defined(domain(a),X1)
| ~ product(codomain(b),X0,X1) ),
inference(resolution,[status(thm)],[c_644,c_74]) ).
tcf(c_767,plain,
~ defined(domain(a),b),
inference(resolution,[status(thm)],[c_651,c_83]) ).
tcf(c_789,plain,
! [X0: $i,X1: $i] :
( ~ defined(X1,b)
| ~ product(X0,domain(a),X1) ),
inference(resolution,[status(thm)],[c_767,c_71]) ).
tcf(c_790,plain,
( ~ defined(a,b)
| ~ product(a,domain(a),a) ),
inference(instantiation,[status(thm)],[c_789]) ).
tcf(c_791,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_790,c_94,c_87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 06:51:40 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 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
% 0.13/0.39
% 0.13/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.39
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 4.44/1.27 % SZS status Started for theBenchmark.p
% 4.44/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 4.44/1.27
% 4.44/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.44/1.27
% 4.44/1.27 % ------ iProver source info
% 4.44/1.27
% 4.44/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 4.44/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.44/1.27 % git: non_committed_changes: false
% 4.44/1.27
% 4.44/1.27 % ------ Parsing...% successful
% 4.44/1.27
% 4.44/1.27
% 4.44/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.44/1.27
% 4.44/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.44/1.27
% 4.44/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.44/1.27
% 4.44/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.44/1.27 % ------ Proving...
% 4.44/1.27 % ------ Problem Properties
% 4.44/1.27
% 4.44/1.27 %
% 4.44/1.27 % clauses 20
% 4.44/1.27 % conjectures 1
% 4.44/1.27 % EPR 12
% 4.44/1.27 % Horn 20
% 4.44/1.27 % unary 8
% 4.44/1.27 % binary 2
% 4.44/1.27 % lits 47
% 4.44/1.27 % lits eq 2
% 4.44/1.27 % fd_pure 0
% 4.44/1.27 % fd_pseudo 0
% 4.44/1.27 % fd_cond 0
% 4.44/1.27 % fd_pseudo_cond 1
% 4.44/1.27 % AC symbols 0
% 4.44/1.27
% 4.44/1.27 % ------ Input Options Time Limit: Unbounded
% 4.44/1.27
% 4.44/1.27
% 4.44/1.27 % ------
% 4.44/1.27 % Current options:
% 4.44/1.27 % ------
% 4.44/1.27
% 4.44/1.27
% 4.44/1.27 %
% 4.44/1.27
% 4.44/1.27 % ------ Proving...
% 4.44/1.27 %
% 4.44/1.27
% 4.44/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 4.44/1.27
% 4.44/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.44/1.27
% 4.44/1.27
%------------------------------------------------------------------------------