%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CAT005-1 : 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 : n016.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 01:01:07 PM UTC 2026
% Result : Unsatisfiable 3.35s 1.17s
% Output : CNFRefutation 3.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 16 unt; 1 def)
% Number of atoms : 87 ( 10 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 64 ( 34 ~; 30 |; 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 : 6 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
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(f10,axiom,
! [X0] : identity_map(domain(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',domain_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(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,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ad_defined) ).
fof(f20,axiom,
identity_map(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_is_identity_map) ).
fof(f21,negated_conjecture,
domain(a) != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_a_is_d) ).
fof(f22,plain,
d != domain(a),
inference(reorient_equations,[],[f21]) ).
tcf(c_72,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_79,plain,
! [X0: $i] : identity_map(domain(X0)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_83,plain,
! [X0: $i] : product(X0,domain(X0),X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( product(X0,X1,X1)
| ~ identity_map(X0)
| ~ defined(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] :
( product(X0,X1,X0)
| ~ identity_map(X1)
| ~ defined(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_87,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_88,plain,
defined(a,d),
inference(cnf_transformation,[],[f19]) ).
tcf(c_89,plain,
identity_map(d),
inference(cnf_transformation,[],[f20]) ).
tcf(c_90,negated_conjecture,
domain(a) != d,
inference(cnf_transformation,[],[f22]) ).
tcf(c_387,definition,
iPr_def_10 = domain(a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_388,negated_conjecture,
iPr_def_10 != d,
inference(demodulation,[status(thm)],[c_90,c_387]) ).
tcf(c_669,plain,
product(a,iPr_def_10,a),
inference(superposition,[status(thm)],[c_387,c_83]) ).
tcf(c_671,plain,
identity_map(iPr_def_10),
inference(superposition,[status(thm)],[c_387,c_79]) ).
tcf(c_707,plain,
! [X0: $i] :
( defined(iPr_def_10,X0)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_669,c_72]) ).
tcf(c_719,plain,
( defined(iPr_def_10,d)
| ~ defined(a,d) ),
inference(instantiation,[status(thm)],[c_707]) ).
tcf(c_882,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_10 = d )
| ~ product(X0,X1,iPr_def_10)
| ~ product(X0,X1,d) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_2233,plain,
! [X0: $i] :
( product(iPr_def_10,X0,iPr_def_10)
| ~ identity_map(X0)
| ~ defined(iPr_def_10,X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_2234,plain,
! [X0: $i] :
( ( iPr_def_10 = d )
| ~ product(iPr_def_10,X0,iPr_def_10)
| ~ product(iPr_def_10,X0,d) ),
inference(instantiation,[status(thm)],[c_882]) ).
tcf(c_2235,plain,
( product(iPr_def_10,d,iPr_def_10)
| ~ identity_map(d)
| ~ defined(iPr_def_10,d) ),
inference(instantiation,[status(thm)],[c_2233]) ).
tcf(c_2236,plain,
( ( iPr_def_10 = d )
| ~ product(iPr_def_10,d,iPr_def_10)
| ~ product(iPr_def_10,d,d) ),
inference(instantiation,[status(thm)],[c_2234]) ).
tcf(c_3181,plain,
( product(iPr_def_10,d,d)
| ~ identity_map(iPr_def_10)
| ~ defined(iPr_def_10,d) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_3182,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3181,c_2236,c_2235,c_719,c_671,c_388,c_88,c_89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 06:57:13 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 3.35/1.17 % SZS status Started for theBenchmark.p
% 3.35/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.35/1.17
% 3.35/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.35/1.17
% 3.35/1.17 % ------ iProver source info
% 3.35/1.17
% 3.35/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 3.35/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.35/1.17 % git: non_committed_changes: false
% 3.35/1.17
% 3.35/1.17 % ------ Parsing...% successful
% 3.35/1.17
% 3.35/1.17
% 3.35/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.35/1.17
% 3.35/1.17 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.35/1.17
% 3.35/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.35/1.17
% 3.35/1.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.35/1.17 % ------ Proving...
% 3.35/1.17 % ------ Problem Properties
% 3.35/1.17
% 3.35/1.17 %
% 3.35/1.17 % clauses 22
% 3.35/1.17 % conjectures 1
% 3.35/1.17 % EPR 14
% 3.35/1.17 % Horn 22
% 3.35/1.17 % unary 10
% 3.35/1.17 % binary 2
% 3.35/1.17 % lits 49
% 3.35/1.17 % lits eq 3
% 3.35/1.17 % fd_pure 0
% 3.35/1.17 % fd_pseudo 0
% 3.35/1.17 % fd_cond 0
% 3.35/1.17 % fd_pseudo_cond 1
% 3.35/1.17 % AC symbols 0
% 3.35/1.17
% 3.35/1.17 % ------ Schedule dynamic 5 is on
% 3.35/1.17
% 3.35/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.35/1.17
% 3.35/1.17
% 3.35/1.17 % ------
% 3.35/1.17 % Current options:
% 3.35/1.17 % ------
% 3.35/1.17
% 3.35/1.17
% 3.35/1.17 %
% 3.35/1.17
% 3.35/1.17 % ------ Proving...
% 3.35/1.17 %
% 3.35/1.17
% 3.35/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.35/1.17
% 3.35/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.35/1.17
% 3.35/1.17
%------------------------------------------------------------------------------