%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG038-2 : 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 : n005.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 02:38:17 PM UTC 2026
% Result : Unsatisfiable 2.47s 1.28s
% Output : CNFRefutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
! [X2,X3,X0,X1] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f25,axiom,
! [X0] : product(additive_identity,X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity1) ).
fof(f26,axiom,
! [X0] : product(X0,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity2) ).
fof(f27,axiom,
! [X0,X1] :
( product(X0,h(X0,X1),X1)
| ~ equalish(X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',some_property) ).
fof(f29,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_additive_identity) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_103,plain,
! [X0: $i] : product(additive_identity,X0,additive_identity),
inference(cnf_transformation,[],[f25]) ).
tcf(c_104,plain,
! [X0: $i] : product(X0,additive_identity,additive_identity),
inference(cnf_transformation,[],[f26]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] :
( product(X0,h(X0,X1),X1)
| ~ equalish(X0,additive_identity) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_107,negated_conjecture,
~ equalish(a,additive_identity),
inference(cnf_transformation,[],[f29]) ).
tcf(c_109,plain,
product(additive_identity,additive_identity,additive_identity),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_118,plain,
( equalish(additive_identity,additive_identity)
| ~ product(additive_identity,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_284,plain,
! [X0: $i,X1: $i] :
( equalish(a,additive_identity)
| ~ product(X0,X1,a)
| ~ product(X0,X1,additive_identity) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_321,plain,
! [X0: $i] :
( equalish(a,additive_identity)
| ~ product(X0,h(X0,a),a)
| ~ product(X0,h(X0,a),additive_identity) ),
inference(instantiation,[status(thm)],[c_284]) ).
tcf(c_322,plain,
! [X0: $i] :
( product(X0,h(X0,a),a)
| ~ equalish(X0,additive_identity) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_323,plain,
( equalish(a,additive_identity)
| ~ product(additive_identity,h(additive_identity,a),a)
| ~ product(additive_identity,h(additive_identity,a),additive_identity) ),
inference(instantiation,[status(thm)],[c_321]) ).
tcf(c_324,plain,
( product(additive_identity,h(additive_identity,a),a)
| ~ equalish(additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_322]) ).
tcf(c_397,plain,
product(additive_identity,h(additive_identity,a),additive_identity),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_398,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_397,c_324,c_323,c_118,c_109,c_107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG038-2 : 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 : n005.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 07:55:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.43 % Proving...
% 2.47/1.28 % SZS status Started for theBenchmark.p
% 2.47/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.47/1.28
% 2.47/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.47/1.28
% 2.47/1.28 % ------ iProver source info
% 2.47/1.28
% 2.47/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.47/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.47/1.28 % git: non_committed_changes: false
% 2.47/1.28
% 2.47/1.28 % ------ Parsing...% successful
% 2.47/1.28
% 2.47/1.28
% 2.47/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.47/1.28
% 2.47/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.47/1.28
% 2.47/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.47/1.28 % ------ Proving...
% 2.47/1.28 % ------ Problem Properties
% 2.47/1.28
% 2.47/1.28 %
% 2.47/1.28 % clauses 30
% 2.47/1.28 % conjectures 2
% 2.47/1.28 % EPR 23
% 2.47/1.28 % Horn 30
% 2.47/1.28 % unary 9
% 2.47/1.28 % binary 5
% 2.47/1.28 % lits 79
% 2.47/1.28 % lits eq 0
% 2.47/1.28 % fd_pure 0
% 2.47/1.28 % fd_pseudo 0
% 2.47/1.28 % fd_cond 0
% 2.47/1.28 % fd_pseudo_cond 0
% 2.47/1.28 % AC symbols 0
% 2.47/1.28
% 2.47/1.28 % ------ Schedule dynamic 5 is on
% 2.47/1.28
% 2.47/1.28 % ------ no equalities: superposition off
% 2.47/1.28
% 2.47/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.47/1.28
% 2.47/1.28
% 2.47/1.28 % ------
% 2.47/1.28 % Current options:
% 2.47/1.28 % ------
% 2.47/1.28
% 2.47/1.28
% 2.47/1.28 %
% 2.47/1.28
% 2.47/1.28 % ------ Proving...
% 2.47/1.28 %
% 2.47/1.28
% 2.47/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.47/1.28
% 2.47/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.47/1.28
% 2.47/1.28
%------------------------------------------------------------------------------