%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD013-3 : 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 01:15:36 PM UTC 2026
% Result : Unsatisfiable 4.04s 6.49s
% Output : CNFRefutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 58 ( 25 unt; 1 def)
% Number of atoms : 125 ( 1 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 111 ( 54 ~; 57 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 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 : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 62 !; 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(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(f18,axiom,
! [X0] :
( sum(additive_identity,X0,additive_identity)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_inverse) ).
fof(f19,axiom,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| sum(X0,X1,add(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',totality_of_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,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f30,axiom,
defined(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_defined) ).
fof(f31,negated_conjecture,
sum(additive_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_5) ).
fof(f32,negated_conjecture,
sum(additive_identity,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).
fof(f33,negated_conjecture,
~ sum(a,c,add(d,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_7) ).
tcf(c_82,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_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_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X1,X0,X2)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_99,plain,
! [X0: $i] :
( defined(multiplicative_inverse(X0))
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( sum(X0,X1,add(X0,X1))
| ~ defined(X1)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_108,plain,
defined(a),
inference(cnf_transformation,[],[f27]) ).
tcf(c_109,plain,
defined(b),
inference(cnf_transformation,[],[f28]) ).
tcf(c_110,plain,
defined(c),
inference(cnf_transformation,[],[f29]) ).
tcf(c_111,plain,
defined(d),
inference(cnf_transformation,[],[f30]) ).
tcf(c_112,negated_conjecture,
sum(additive_identity,a,b),
inference(cnf_transformation,[],[f31]) ).
tcf(c_113,negated_conjecture,
sum(additive_identity,c,d),
inference(cnf_transformation,[],[f32]) ).
tcf(c_114,negated_conjecture,
~ sum(a,c,add(d,b)),
inference(cnf_transformation,[],[f33]) ).
tcf(c_293,definition,
iPr_def_10 = add(d,b),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_294,negated_conjecture,
~ sum(a,c,iPr_def_10),
inference(demodulation,[status(thm)],[c_114,c_293]) ).
tcf(c_295,negated_conjecture,
sum(additive_identity,c,d),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_296,negated_conjecture,
sum(additive_identity,a,b),
inference(demodulation,[status(thm)],[c_112]) ).
tcf(c_756,plain,
sum(a,additive_identity,b),
inference(superposition,[status(thm)],[c_296,c_86]) ).
tcf(c_757,plain,
sum(c,additive_identity,d),
inference(superposition,[status(thm)],[c_295,c_86]) ).
tcf(c_758,plain,
! [X0: $i] :
( sum(X0,additive_identity,X0)
| ~ defined(X0) ),
inference(superposition,[status(thm)],[c_84,c_86]) ).
tcf(c_810,plain,
( sum(d,b,iPr_def_10)
| ~ defined(d)
| ~ defined(b) ),
inference(superposition,[status(thm)],[c_293,c_100]) ).
tcf(c_812,plain,
sum(d,b,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_810,c_111,c_109]) ).
tcf(c_822,plain,
! [X0: $i] :
( defined(multiplicative_inverse(X0))
| sum(X0,additive_identity,additive_identity)
| ~ defined(X0) ),
inference(superposition,[status(thm)],[c_99,c_86]) ).
tcf(c_852,plain,
sum(b,d,iPr_def_10),
inference(superposition,[status(thm)],[c_812,c_86]) ).
tcf(c_1083,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(additive_identity,X1,X2)
| ~ sum(d,X0,X2)
| ~ sum(c,X0,X1) ),
inference(superposition,[status(thm)],[c_295,c_82]) ).
tcf(c_1089,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(a,X2,X1)
| ~ sum(additive_identity,X0,X2)
| ~ sum(b,X0,X1) ),
inference(superposition,[status(thm)],[c_756,c_82]) ).
tcf(c_1176,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(a,c,iPr_def_10)
| ~ sum(X1,c,X2)
| ~ sum(X0,X2,iPr_def_10)
| ~ sum(X0,X1,a) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_1195,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X2,X1,d)
| ~ sum(additive_identity,X0,X2)
| ~ sum(X0,X1,c) ),
inference(superposition,[status(thm)],[c_295,c_83]) ).
tcf(c_1464,plain,
( sum(additive_identity,a,a)
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_1466,plain,
! [X0: $i,X1: $i] :
( sum(X1,X0,a)
| ~ sum(X0,X1,a) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_1529,plain,
! [X0: $i] :
( sum(additive_identity,d,X0)
| ~ sum(d,additive_identity,X0) ),
inference(superposition,[status(thm)],[c_757,c_1083]) ).
tcf(c_1530,plain,
! [X0: $i] :
( sum(additive_identity,c,X0)
| ~ defined(c)
| ~ sum(d,additive_identity,X0) ),
inference(superposition,[status(thm)],[c_758,c_1083]) ).
tcf(c_1537,plain,
! [X0: $i] :
( sum(additive_identity,c,X0)
| ~ sum(d,additive_identity,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1530,c_110]) ).
tcf(c_1693,plain,
! [X0: $i] :
( sum(d,X0,d)
| ~ sum(c,X0,c) ),
inference(superposition,[status(thm)],[c_295,c_1195]) ).
tcf(c_1785,plain,
! [X0: $i] :
( sum(a,X0,iPr_def_10)
| ~ sum(additive_identity,d,X0) ),
inference(superposition,[status(thm)],[c_852,c_1089]) ).
tcf(c_2516,plain,
( sum(d,additive_identity,d)
| ~ defined(c) ),
inference(superposition,[status(thm)],[c_758,c_1693]) ).
tcf(c_2518,plain,
sum(d,additive_identity,d),
inference(forward_subsumption_resolution,[status(thm)],[c_2516,c_110]) ).
tcf(c_3230,plain,
( sum(a,additive_identity,a)
| ~ sum(additive_identity,a,a) ),
inference(instantiation,[status(thm)],[c_1466]) ).
tcf(c_4823,plain,
( defined(multiplicative_inverse(d))
| sum(additive_identity,c,additive_identity)
| ~ defined(d) ),
inference(superposition,[status(thm)],[c_822,c_1537]) ).
tcf(c_4826,plain,
( defined(multiplicative_inverse(d))
| sum(additive_identity,c,additive_identity) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4823,c_111]) ).
tcf(c_5936,plain,
( defined(multiplicative_inverse(d))
| sum(c,additive_identity,additive_identity) ),
inference(superposition,[status(thm)],[c_4826,c_86]) ).
tcf(c_6070,plain,
! [X0: $i] :
( defined(multiplicative_inverse(d))
| sum(additive_identity,additive_identity,X0)
| ~ sum(d,additive_identity,X0) ),
inference(superposition,[status(thm)],[c_5936,c_1083]) ).
tcf(c_7335,plain,
! [X0: $i] :
( sum(a,c,iPr_def_10)
| ~ sum(a,additive_identity,a)
| ~ sum(additive_identity,c,X0)
| ~ sum(a,X0,iPr_def_10) ),
inference(instantiation,[status(thm)],[c_1176]) ).
tcf(c_8067,plain,
! [X0: $i] : ~ sum(d,additive_identity,X0),
inference(global_subsumption_just,[status(thm)],[c_6070,c_108,c_294,c_1464,c_1537,c_1529,c_1785,c_3230,c_7335]) ).
tcf(c_8070,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_2518,c_8067]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD013-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.57 % Computer : n018.cluster.edu
% 0.12/5.57 % Model : x86_64 x86_64
% 0.12/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.57 % Memory : 8046.5625MB
% 0.12/5.57 % OS : Linux 6.8.0-71-generic
% 0.12/5.57 % CPULimit : 300
% 0.12/5.57 % WCLimit : 300
% 0.12/5.57 % DateTime : Fri Sep 25 10:41:13 UTC 2026
% 0.12/5.57 % CPUTime :
% 0.12/5.57 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.61 Running first-order theorem proving
% 0.15/5.61 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
% 0.15/5.62
% 0.15/5.62 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.62
% 0.15/5.62 % Detected problem language: tptp
% 0.15/5.64 % Proving...
% 4.04/6.49 % SZS status Started for theBenchmark.p
% 4.04/6.49 % SZS status Unsatisfiable for theBenchmark.p
% 4.04/6.49
% 4.04/6.49 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.04/6.49
% 4.04/6.49 % ------ iProver source info
% 4.04/6.49
% 4.04/6.49 % git: date: 2026-07-19 20:42:38 +0200
% 4.04/6.49 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.04/6.49 % git: non_committed_changes: false
% 4.04/6.49
% 4.04/6.49 % ------ Parsing...% successful
% 4.04/6.49
% 4.04/6.49
% 4.04/6.49 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.04/6.49
% 4.04/6.49 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.04/6.49
% 4.04/6.49 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.04/6.49
% 4.04/6.49 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.04/6.49 % ------ Proving...
% 4.04/6.49 % ------ Problem Properties
% 4.04/6.49
% 4.04/6.49 %
% 4.04/6.49 % clauses 34
% 4.04/6.49 % conjectures 3
% 4.04/6.49 % EPR 25
% 4.04/6.49 % Horn 31
% 4.04/6.49 % unary 11
% 4.04/6.49 % binary 6
% 4.04/6.49 % lits 85
% 4.04/6.49 % lits eq 1
% 4.04/6.49 % fd_pure 0
% 4.04/6.49 % fd_pseudo 0
% 4.04/6.49 % fd_cond 0
% 4.04/6.49 % fd_pseudo_cond 0
% 4.04/6.49 % AC symbols 0
% 4.04/6.49
% 4.04/6.49 % ------ Schedule dynamic 5 is on
% 4.04/6.49
% 4.04/6.49 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.04/6.49
% 4.04/6.49
% 4.04/6.49 % ------
% 4.04/6.49 % Current options:
% 4.04/6.49 % ------
% 4.04/6.49
% 4.04/6.49
% 4.04/6.49 %
% 4.04/6.49
% 4.04/6.49 % ------ Proving...
% 4.04/6.49 %
% 4.04/6.49
% 4.04/6.49 % SZS status Unsatisfiable for theBenchmark.p
% 4.04/6.49
% 4.04/6.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.04/6.49
% 4.04/6.49
%------------------------------------------------------------------------------