%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD006-3 : 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 : n006.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 01:15:34 PM UTC 2026
% Result : Unsatisfiable 1.87s 1.27s
% Output : CNFRefutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_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(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
fof(f27,negated_conjecture,
~ sum(additive_identity,additive_inverse(additive_identity),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_1) ).
tcf(c_79,plain,
! [X0: $i] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X1,X0,X2)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_89,plain,
defined(additive_identity),
inference(cnf_transformation,[],[f14]) ).
tcf(c_102,negated_conjecture,
~ sum(additive_identity,additive_inverse(additive_identity),additive_identity),
inference(cnf_transformation,[],[f27]) ).
tcf(c_726,plain,
! [X0: $i] :
( sum(X0,additive_inverse(X0),additive_identity)
| ~ defined(X0) ),
inference(superposition,[status(thm)],[c_79,c_80]) ).
tcf(c_731,plain,
( sum(additive_identity,additive_inverse(additive_identity),additive_identity)
| ~ defined(additive_identity) ),
inference(instantiation,[status(thm)],[c_726]) ).
tcf(c_732,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_731,c_102,c_89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD006-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n006.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 : Fri Sep 25 10:36:26 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 1.87/1.27 % SZS status Started for theBenchmark.p
% 1.87/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.87/1.27
% 1.87/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.87/1.27
% 1.87/1.27 % ------ iProver source info
% 1.87/1.27
% 1.87/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.87/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.87/1.27 % git: non_committed_changes: false
% 1.87/1.27
% 1.87/1.27 % ------ Parsing...% successful
% 1.87/1.27
% 1.87/1.27
% 1.87/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.87/1.27
% 1.87/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.87/1.27
% 1.87/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.87/1.27
% 1.87/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.87/1.27 % ------ Proving...
% 1.87/1.27 % ------ Problem Properties
% 1.87/1.27
% 1.87/1.27 %
% 1.87/1.27 % clauses 28
% 1.87/1.27 % conjectures 1
% 1.87/1.27 % EPR 19
% 1.87/1.27 % Horn 25
% 1.87/1.27 % unary 5
% 1.87/1.27 % binary 6
% 1.87/1.27 % lits 79
% 1.87/1.27 % lits eq 1
% 1.87/1.27 % fd_pure 0
% 1.87/1.27 % fd_pseudo 0
% 1.87/1.27 % fd_cond 0
% 1.87/1.27 % fd_pseudo_cond 0
% 1.87/1.27 % AC symbols 0
% 1.87/1.27
% 1.87/1.27 % ------ Schedule dynamic 5 is on
% 1.87/1.27
% 1.87/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.87/1.27
% 1.87/1.27
% 1.87/1.27 % ------
% 1.87/1.27 % Current options:
% 1.87/1.27 % ------
% 1.87/1.27
% 1.87/1.27
% 1.87/1.27 %
% 1.87/1.27
% 1.87/1.27 % ------ Proving...
% 1.87/1.27 %
% 1.87/1.27
% 1.87/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.87/1.27
% 1.87/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.87/1.27
% 1.87/1.27
%------------------------------------------------------------------------------