%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD015-3 : 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 : n008.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 4.37s 1.29s
% Output : CNFRefutation 4.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 13 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 100 ( 52 ~; 48 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 60 ( 0 sgn 60 !; 0 ?; 43 :)
% 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/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
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(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(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,negated_conjecture,
sum(additive_identity,additive_inverse(a),additive_inverse(b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_3) ).
fof(f30,negated_conjecture,
~ sum(additive_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_4) ).
tcf(c_79,plain,
defined(a),
inference(cnf_transformation,[],[f27]) ).
tcf(c_80,plain,
defined(b),
inference(cnf_transformation,[],[f28]) ).
tcf(c_81,negated_conjecture,
sum(additive_identity,additive_inverse(a),additive_inverse(b)),
inference(cnf_transformation,[],[f29]) ).
tcf(c_82,negated_conjecture,
~ sum(additive_identity,a,b),
inference(cnf_transformation,[],[f30]) ).
tcf(c_84,plain,
! [X0: $i] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X1,X0,X2)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_86,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_87,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_89,plain,
! [X0: $i] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_135,plain,
( sum(additive_identity,a,b)
| ~ sum(a,additive_identity,b) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(a,additive_identity,b)
| ~ sum(a,X0,X2)
| ~ sum(X2,X1,b)
| ~ sum(X0,X1,additive_identity) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_147,plain,
( sum(additive_identity,b,b)
| ~ defined(b) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_180,plain,
! [X0: $i] :
( sum(a,additive_identity,b)
| ~ sum(additive_identity,b,b)
| ~ sum(a,X0,additive_identity)
| ~ sum(X0,b,additive_identity) ),
inference(instantiation,[status(thm)],[c_140]) ).
tcf(c_238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sum(X0,b,X4)
| ~ sum(X1,X3,b)
| ~ sum(X2,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_243,plain,
( sum(additive_inverse(b),b,additive_identity)
| ~ defined(b) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_273,plain,
sum(additive_inverse(a),additive_identity,additive_inverse(b)),
inference(superposition,[status(thm)],[c_81,c_85]) ).
tcf(c_285,plain,
sum(additive_inverse(a),additive_identity,additive_inverse(b)),
inference(superposition,[status(thm)],[c_81,c_85]) ).
tcf(c_287,plain,
! [X0: $i] :
( sum(X0,additive_inverse(X0),additive_identity)
| ~ defined(X0) ),
inference(superposition,[status(thm)],[c_89,c_85]) ).
tcf(c_517,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X1,X2,additive_inverse(b))
| ~ sum(X0,X2,additive_identity)
| ~ sum(additive_inverse(a),X0,X1) ),
inference(superposition,[status(thm)],[c_273,c_86]) ).
tcf(c_528,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X1,X2,additive_inverse(b))
| ~ sum(X0,X2,additive_identity)
| ~ sum(additive_inverse(a),X0,X1) ),
inference(superposition,[status(thm)],[c_285,c_86]) ).
tcf(c_693,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X0,b,X2)
| ~ sum(additive_identity,b,b)
| ~ sum(X1,b,X2)
| ~ sum(X0,additive_identity,X1) ),
inference(instantiation,[status(thm)],[c_238]) ).
tcf(c_951,plain,
! [X0: $i] :
( sum(X0,b,additive_identity)
| ~ sum(additive_identity,b,b)
| ~ sum(additive_inverse(b),b,additive_identity)
| ~ sum(X0,additive_identity,additive_inverse(b)) ),
inference(instantiation,[status(thm)],[c_693]) ).
tcf(c_1646,plain,
! [X0: $i] :
( sum(additive_identity,X0,additive_inverse(b))
| ~ defined(a)
| ~ sum(a,X0,additive_identity) ),
inference(superposition,[status(thm)],[c_89,c_517]) ).
tcf(c_1653,plain,
! [X0: $i] :
( sum(additive_identity,X0,additive_inverse(b))
| ~ sum(a,X0,additive_identity) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1646,c_79]) ).
tcf(c_1675,plain,
! [X0: $i] :
( sum(additive_identity,X0,additive_inverse(b))
| ~ defined(a)
| ~ sum(a,X0,additive_identity) ),
inference(superposition,[status(thm)],[c_89,c_528]) ).
tcf(c_1682,plain,
! [X0: $i] :
( sum(additive_identity,X0,additive_inverse(b))
| ~ sum(a,X0,additive_identity) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1675,c_79]) ).
tcf(c_2055,plain,
! [X0: $i] :
( sum(X0,additive_identity,additive_inverse(b))
| ~ sum(a,X0,additive_identity) ),
inference(superposition,[status(thm)],[c_1653,c_85]) ).
tcf(c_2068,plain,
! [X0: $i] : ~ sum(a,X0,additive_identity),
inference(global_subsumption_just,[status(thm)],[c_1682,c_80,c_82,c_135,c_147,c_180,c_243,c_951,c_2055]) ).
tcf(c_2071,plain,
~ defined(a),
inference(superposition,[status(thm)],[c_287,c_2068]) ).
tcf(c_2072,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2071,c_79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD015-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 10:37:54 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 4.37/1.29 % SZS status Started for theBenchmark.p
% 4.37/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 4.37/1.29
% 4.37/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.37/1.29
% 4.37/1.29 % ------ iProver source info
% 4.37/1.29
% 4.37/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 4.37/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.37/1.29 % git: non_committed_changes: false
% 4.37/1.29
% 4.37/1.29 % ------ Parsing...% successful
% 4.37/1.29
% 4.37/1.29
% 4.37/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.37/1.29
% 4.37/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.37/1.29
% 4.37/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.37/1.29 % ------ Proving...
% 4.37/1.29 % ------ Problem Properties
% 4.37/1.29
% 4.37/1.29 %
% 4.37/1.29 % clauses 11
% 4.37/1.29 % conjectures 2
% 4.37/1.29 % EPR 8
% 4.37/1.29 % Horn 11
% 4.37/1.29 % unary 5
% 4.37/1.29 % binary 4
% 4.37/1.29 % lits 21
% 4.37/1.29 % lits eq 0
% 4.37/1.29 % fd_pure 0
% 4.37/1.29 % fd_pseudo 0
% 4.37/1.29 % fd_cond 0
% 4.37/1.29 % fd_pseudo_cond 0
% 4.37/1.29 % AC symbols 0
% 4.37/1.29
% 4.37/1.29 % ------ Schedule dynamic 5 is on
% 4.37/1.29
% 4.37/1.29 % ------ no equalities: superposition off
% 4.37/1.29
% 4.37/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.37/1.29
% 4.37/1.29
% 4.37/1.29 % ------
% 4.37/1.29 % Current options:
% 4.37/1.29 % ------
% 4.37/1.29
% 4.37/1.29
% 4.37/1.29 %
% 4.37/1.29
% 4.37/1.29 % ------ Proving...
% 4.37/1.29 %
% 4.37/1.29
% 4.37/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 4.37/1.29
% 4.37/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.37/1.30
% 4.37/1.30
%------------------------------------------------------------------------------