%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD039-3 : 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 : 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 01:15:44 PM UTC 2026
% Result : Unsatisfiable 1.91s 1.17s
% Output : CNFRefutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 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 : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?; 11 :)
% 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(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).
fof(f26,axiom,
~ sum(additive_identity,additive_identity,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',different_identities) ).
fof(f29,negated_conjecture,
sum(additive_identity,multiplicative_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_3) ).
tcf(c_78,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_80,plain,
! [X0: $i] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_91,plain,
defined(additive_identity),
inference(cnf_transformation,[],[f14]) ).
tcf(c_94,plain,
defined(multiplicative_identity),
inference(cnf_transformation,[],[f17]) ).
tcf(c_103,plain,
~ sum(additive_identity,additive_identity,multiplicative_identity),
inference(cnf_transformation,[],[f26]) ).
tcf(c_106,negated_conjecture,
sum(additive_identity,multiplicative_identity,additive_identity),
inference(cnf_transformation,[],[f29]) ).
tcf(c_109,plain,
( sum(additive_identity,additive_identity,additive_identity)
| ~ defined(additive_identity) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_287,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(additive_identity,additive_identity,multiplicative_identity)
| ~ sum(additive_identity,X0,X2)
| ~ sum(X2,X1,multiplicative_identity)
| ~ sum(X0,X1,additive_identity) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_363,plain,
! [X0: $i] :
( sum(additive_identity,additive_identity,multiplicative_identity)
| ~ sum(additive_identity,multiplicative_identity,multiplicative_identity)
| ~ sum(additive_identity,X0,additive_identity)
| ~ sum(X0,multiplicative_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_287]) ).
tcf(c_364,plain,
( sum(additive_identity,multiplicative_identity,multiplicative_identity)
| ~ defined(multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_365,plain,
( sum(additive_identity,additive_identity,multiplicative_identity)
| ~ sum(additive_identity,multiplicative_identity,multiplicative_identity)
| ~ sum(additive_identity,multiplicative_identity,additive_identity)
| ~ sum(additive_identity,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_363]) ).
tcf(c_366,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_364,c_365,c_109,c_103,c_106,c_91,c_94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD039-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 10:47:33 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.91/1.17 % SZS status Started for theBenchmark.p
% 1.91/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 1.91/1.17
% 1.91/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.91/1.17
% 1.91/1.17 % ------ iProver source info
% 1.91/1.17
% 1.91/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 1.91/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.91/1.17 % git: non_committed_changes: false
% 1.91/1.17
% 1.91/1.17 % ------ Parsing...% successful
% 1.91/1.17
% 1.91/1.17
% 1.91/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.91/1.17
% 1.91/1.17 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.91/1.17
% 1.91/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.91/1.17 % ------ Proving...
% 1.91/1.17 % ------ Problem Properties
% 1.91/1.17
% 1.91/1.17 %
% 1.91/1.17 % clauses 29
% 1.91/1.17 % conjectures 2
% 1.91/1.17 % EPR 21
% 1.91/1.17 % Horn 26
% 1.91/1.17 % unary 6
% 1.91/1.17 % binary 6
% 1.91/1.17 % lits 80
% 1.91/1.17 % lits eq 0
% 1.91/1.17 % fd_pure 0
% 1.91/1.17 % fd_pseudo 0
% 1.91/1.17 % fd_cond 0
% 1.91/1.17 % fd_pseudo_cond 0
% 1.91/1.17 % AC symbols 0
% 1.91/1.17
% 1.91/1.17 % ------ Schedule dynamic 5 is on
% 1.91/1.17
% 1.91/1.17 % ------ no equalities: superposition off
% 1.91/1.17
% 1.91/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.91/1.17
% 1.91/1.17
% 1.91/1.17 % ------
% 1.91/1.17 % Current options:
% 1.91/1.17 % ------
% 1.91/1.17
% 1.91/1.17
% 1.91/1.17 %
% 1.91/1.17
% 1.91/1.17 % ------ Proving...
% 1.91/1.17 %
% 1.91/1.17
% 1.91/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 1.91/1.17
% 1.91/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.91/1.17
% 1.91/1.17
%------------------------------------------------------------------------------