%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD017-3 : 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 : n018.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 01:15:38 PM UTC 2026
% Result : Unsatisfiable 2.58s 1.25s
% Output : CNFRefutation 2.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 38 ( 20 ~; 18 |; 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 : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?; 11 :)
% 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(f29,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f31,negated_conjecture,
sum(additive_identity,a,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_5) ).
fof(f32,negated_conjecture,
sum(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).
fof(f33,negated_conjecture,
~ sum(x,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_7) ).
tcf(c_83,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_84,plain,
! [X0: $i] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_110,plain,
defined(c),
inference(cnf_transformation,[],[f29]) ).
tcf(c_112,negated_conjecture,
sum(additive_identity,a,x),
inference(cnf_transformation,[],[f31]) ).
tcf(c_113,negated_conjecture,
sum(a,b,c),
inference(cnf_transformation,[],[f32]) ).
tcf(c_114,negated_conjecture,
~ sum(x,b,c),
inference(cnf_transformation,[],[f33]) ).
tcf(c_302,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(x,b,c)
| ~ sum(X1,b,X2)
| ~ sum(X0,X2,c)
| ~ sum(X0,X1,x) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_337,plain,
! [X0: $i] :
( sum(x,b,c)
| ~ sum(additive_identity,a,x)
| ~ sum(additive_identity,X0,c)
| ~ sum(a,b,X0) ),
inference(instantiation,[status(thm)],[c_302]) ).
tcf(c_442,plain,
( sum(x,b,c)
| ~ sum(additive_identity,c,c)
| ~ sum(additive_identity,a,x)
| ~ sum(a,b,c) ),
inference(instantiation,[status(thm)],[c_337]) ).
tcf(c_2103,plain,
( sum(additive_identity,c,c)
| ~ defined(c) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2104,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2103,c_442,c_114,c_112,c_113,c_110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD017-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.35 % Computer : n018.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Fri Sep 25 10:41:20 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.38 Running first-order theorem proving
% 0.14/0.38 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
% 0.14/0.39
% 0.14/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.39
% 0.14/0.40 % Detected problem language: tptp
% 0.14/0.41 % Proving...
% 2.58/1.25 % SZS status Started for theBenchmark.p
% 2.58/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 2.58/1.25
% 2.58/1.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.58/1.25
% 2.58/1.25 % ------ iProver source info
% 2.58/1.25
% 2.58/1.25 % git: date: 2026-07-19 20:42:38 +0200
% 2.58/1.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.58/1.25 % git: non_committed_changes: false
% 2.58/1.25
% 2.58/1.25 % ------ Parsing...% successful
% 2.58/1.25
% 2.58/1.25
% 2.58/1.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.58/1.25
% 2.58/1.25 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.58/1.25
% 2.58/1.25 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.58/1.25 % ------ Proving...
% 2.58/1.25 % ------ Problem Properties
% 2.58/1.25
% 2.58/1.25 %
% 2.58/1.25 % clauses 33
% 2.58/1.25 % conjectures 3
% 2.58/1.25 % EPR 25
% 2.58/1.25 % Horn 30
% 2.58/1.25 % unary 10
% 2.58/1.25 % binary 6
% 2.58/1.25 % lits 84
% 2.58/1.25 % lits eq 0
% 2.58/1.25 % fd_pure 0
% 2.58/1.25 % fd_pseudo 0
% 2.58/1.25 % fd_cond 0
% 2.58/1.25 % fd_pseudo_cond 0
% 2.58/1.25 % AC symbols 0
% 2.58/1.25
% 2.58/1.25 % ------ Schedule dynamic 5 is on
% 2.58/1.25
% 2.58/1.25 % ------ no equalities: superposition off
% 2.58/1.25
% 2.58/1.25 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.58/1.25
% 2.58/1.25
% 2.58/1.25 % ------
% 2.58/1.25 % Current options:
% 2.58/1.25 % ------
% 2.58/1.25
% 2.58/1.25
% 2.58/1.25 %
% 2.58/1.25
% 2.58/1.25 % ------ Proving...
% 2.58/1.25 %
% 2.58/1.25
% 2.58/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 2.58/1.25
% 2.58/1.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.58/1.25
% 2.58/1.25
%------------------------------------------------------------------------------