%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD021-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.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 01:15:39 PM UTC 2026
% Result : Unsatisfiable 2.16s 1.26s
% Output : CNFRefutation 2.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 44 ( 23 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 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; 3 con; 0-0 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
fof(f3,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,negated_conjecture,
sum(additive_identity,m,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_3) ).
fof(f30,negated_conjecture,
~ sum(m,a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_4) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sum(X0,X4,X5)
| ~ sum(X2,X3,X5)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_81,plain,
! [X0: $i] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X1,X0,X2)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_105,plain,
defined(a),
inference(cnf_transformation,[],[f27]) ).
tcf(c_107,negated_conjecture,
sum(additive_identity,m,additive_identity),
inference(cnf_transformation,[],[f29]) ).
tcf(c_108,negated_conjecture,
~ sum(m,a,a),
inference(cnf_transformation,[],[f30]) ).
tcf(c_286,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(m,a,a)
| ~ sum(m,X0,X2)
| ~ sum(X2,X1,a)
| ~ sum(X0,X1,a) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_314,plain,
! [X0: $i] :
( sum(m,a,a)
| ~ sum(additive_identity,a,a)
| ~ sum(m,additive_identity,X0)
| ~ sum(X0,a,a) ),
inference(instantiation,[status(thm)],[c_286]) ).
tcf(c_315,plain,
( sum(additive_identity,a,a)
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_316,plain,
( sum(m,a,a)
| ~ sum(additive_identity,a,a)
| ~ sum(m,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_314]) ).
tcf(c_448,plain,
! [X0: $i] :
( sum(m,additive_identity,X0)
| ~ sum(additive_identity,m,X0) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_449,plain,
( sum(m,additive_identity,additive_identity)
| ~ sum(additive_identity,m,additive_identity) ),
inference(instantiation,[status(thm)],[c_448]) ).
tcf(c_450,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_449,c_315,c_316,c_108,c_107,c_105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD021-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n011.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 10:40:13 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 2.16/1.26 % SZS status Started for theBenchmark.p
% 2.16/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 2.16/1.26
% 2.16/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.16/1.26
% 2.16/1.26 % ------ iProver source info
% 2.16/1.26
% 2.16/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 2.16/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.16/1.26 % git: non_committed_changes: false
% 2.16/1.26
% 2.16/1.26 % ------ Parsing...% successful
% 2.16/1.26
% 2.16/1.26
% 2.16/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.16/1.26
% 2.16/1.26 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.16/1.26
% 2.16/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.16/1.26 % ------ Proving...
% 2.16/1.26 % ------ Problem Properties
% 2.16/1.26
% 2.16/1.26 %
% 2.16/1.26 % clauses 30
% 2.16/1.26 % conjectures 2
% 2.16/1.26 % EPR 22
% 2.16/1.26 % Horn 27
% 2.16/1.26 % unary 7
% 2.16/1.26 % binary 6
% 2.16/1.26 % lits 81
% 2.16/1.26 % lits eq 0
% 2.16/1.26 % fd_pure 0
% 2.16/1.26 % fd_pseudo 0
% 2.16/1.26 % fd_cond 0
% 2.16/1.26 % fd_pseudo_cond 0
% 2.16/1.26 % AC symbols 0
% 2.16/1.26
% 2.16/1.26 % ------ Schedule dynamic 5 is on
% 2.16/1.26
% 2.16/1.26 % ------ no equalities: superposition off
% 2.16/1.26
% 2.16/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.16/1.26
% 2.16/1.26
% 2.16/1.26 % ------
% 2.16/1.26 % Current options:
% 2.16/1.26 % ------
% 2.16/1.26
% 2.16/1.26
% 2.16/1.26 %
% 2.16/1.26
% 2.16/1.26 % ------ Proving...
% 2.16/1.26 %
% 2.16/1.26
% 2.16/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 2.16/1.26
% 2.16/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.16/1.26
% 2.16/1.26
%------------------------------------------------------------------------------