%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD013-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n013.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 01:15:37 PM UTC 2026
% Result : Unsatisfiable 0.95s 1.25s
% Output : CNFRefutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 15 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 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 : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X2)
| ~ sum(X4,X1,X5)
| ~ sum(X3,X4,X0)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_2) ).
fof(f3,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
fof(f31,axiom,
defined(u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_is_defined) ).
fof(f32,negated_conjecture,
sum(additive_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).
fof(f33,negated_conjecture,
sum(additive_identity,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_7) ).
fof(f34,negated_conjecture,
sum(a,c,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_8) ).
fof(f35,negated_conjecture,
~ sum(d,b,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_9) ).
tcf(c_88,plain,
defined(u),
inference(cnf_transformation,[],[f31]) ).
tcf(c_89,negated_conjecture,
sum(additive_identity,a,b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_90,negated_conjecture,
sum(additive_identity,c,d),
inference(cnf_transformation,[],[f33]) ).
tcf(c_91,negated_conjecture,
sum(a,c,u),
inference(cnf_transformation,[],[f34]) ).
tcf(c_92,negated_conjecture,
~ sum(d,b,u),
inference(cnf_transformation,[],[f35]) ).
tcf(c_94,plain,
! [X0: $i] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X1,X0,X2)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sum(X2,X5,X4)
| ~ sum(X1,X5,X3)
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_103,plain,
sum(additive_identity,u,u),
inference(resolution,[status(thm)],[c_94,c_88]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(b,X0,X2)
| ~ sum(additive_identity,X1,X2)
| ~ sum(a,X0,X1) ),
inference(resolution,[status(thm)],[c_96,c_89]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(d,X0,X2)
| ~ sum(additive_identity,X1,X2)
| ~ sum(c,X0,X1) ),
inference(resolution,[status(thm)],[c_96,c_90]) ).
tcf(c_133,plain,
! [X0: $i] :
( sum(b,c,X0)
| ~ sum(additive_identity,u,X0) ),
inference(resolution,[status(thm)],[c_108,c_91]) ).
tcf(c_174,plain,
sum(b,c,u),
inference(resolution,[status(thm)],[c_103,c_133]) ).
tcf(c_208,plain,
sum(c,b,u),
inference(resolution,[status(thm)],[c_174,c_95]) ).
tcf(c_362,plain,
! [X0: $i] :
( sum(d,b,X0)
| ~ sum(additive_identity,u,X0) ),
inference(resolution,[status(thm)],[c_208,c_110]) ).
tcf(c_374,plain,
sum(d,b,u),
inference(resolution,[status(thm)],[c_362,c_103]) ).
tcf(c_375,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_374,c_92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD013-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n013.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 25 10:38:31 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.45 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.46
% 0.17/0.46 % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.46
% 0.17/0.46 % Detected problem language: tptp
% 0.17/0.48 % Proving...
% 0.95/1.25 % SZS status Started for theBenchmark.p
% 0.95/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 0.95/1.25
% 0.95/1.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.95/1.25
% 0.95/1.25 % ------ iProver source info
% 0.95/1.25
% 0.95/1.25 % git: date: 2026-07-19 20:42:38 +0200
% 0.95/1.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.95/1.25 % git: non_committed_changes: false
% 0.95/1.25
% 0.95/1.25 % ------ Parsing...% successful
% 0.95/1.25
% 0.95/1.25
% 0.95/1.25 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 0.95/1.25 %
% 0.95/1.25
% 0.95/1.25 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 0.95/1.25
% 0.95/1.25 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 0.95/1.25 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.95/1.25 % ------ Proving...
% 0.95/1.25 % ------ Problem Properties
% 0.95/1.25
% 0.95/1.25 %
% 0.95/1.25 % clauses 14
% 0.95/1.25 % conjectures 4
% 0.95/1.25 % EPR 14
% 0.95/1.25 % Horn 14
% 0.95/1.25 % unary 10
% 0.95/1.25 % binary 2
% 0.95/1.25 % lits 22
% 0.95/1.25 % lits eq 0
% 0.95/1.25 % fd_pure 0
% 0.95/1.25 % fd_pseudo 0
% 0.95/1.25 % fd_cond 0
% 0.95/1.25 % fd_pseudo_cond 0
% 0.95/1.25 % AC symbols 0
% 0.95/1.25
% 0.95/1.25 % ------ Schedule EPR Horn non eq is on
% 0.95/1.25
% 0.95/1.25 % ------ no equalities: superposition off
% 0.95/1.25
% 0.95/1.25 % ------ Option_epr_horn Time Limit: Unbounded
% 0.95/1.25
% 0.95/1.25
% 0.95/1.25 % ------
% 0.95/1.25 % Current options:
% 0.95/1.25 % ------
% 0.95/1.25
% 0.95/1.25
% 0.95/1.25 %
% 0.95/1.25
% 0.95/1.25 % ------ Proving...
% 0.95/1.25 %
% 0.95/1.25
% 0.95/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 0.95/1.25
% 0.95/1.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.95/1.25
% 0.95/1.25
%------------------------------------------------------------------------------