%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD043-3 : 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 : n013.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 01:15:45 PM UTC 2026
% Result : Unsatisfiable 10.54s 2.97s
% Output : CNFRefutation 10.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 9 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 88 ( 45 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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 : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 47 ( 0 sgn 47 !; 0 ?; 32 :)
% 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(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(f11,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X4,X6,X1)
| ~ product(X3,X6,X0)
| ~ product(X5,X6,X2)
| ~ sum(X3,X4,X5)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',distributivity_1) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,negated_conjecture,
product(additive_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_3) ).
fof(f30,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_4) ).
tcf(c_80,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_81,plain,
! [X0: $i] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_82,plain,
! [X0: $i] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sum(X2,X4,X6)
| ~ sum(X0,X3,X5)
| ~ product(X5,X1,X6)
| ~ product(X3,X1,X4)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_92,plain,
defined(additive_identity),
inference(cnf_transformation,[],[f14]) ).
tcf(c_106,plain,
defined(b),
inference(cnf_transformation,[],[f28]) ).
tcf(c_107,negated_conjecture,
product(additive_identity,a,b),
inference(cnf_transformation,[],[f29]) ).
tcf(c_108,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
inference(cnf_transformation,[],[f30]) ).
tcf(c_111,plain,
( sum(additive_identity,additive_identity,additive_identity)
| ~ defined(additive_identity) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_296,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(additive_identity,b,additive_identity)
| ~ sum(X1,b,X2)
| ~ sum(X0,X2,additive_identity)
| ~ sum(X0,X1,additive_identity) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sum(X2,X4,b)
| ~ product(X5,X1,b)
| ~ sum(X0,X3,X5)
| ~ product(X3,X1,X4)
| ~ product(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_350,plain,
( sum(additive_inverse(b),b,additive_identity)
| ~ defined(b) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_2336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sum(X1,X3,b)
| ~ product(additive_identity,a,b)
| ~ sum(X0,X2,additive_identity)
| ~ product(X2,a,X3)
| ~ product(X0,a,X1) ),
inference(instantiation,[status(thm)],[c_340]) ).
tcf(c_4402,plain,
! [X0: $i,X1: $i] :
( sum(b,X1,b)
| ~ product(additive_identity,a,b)
| ~ sum(additive_identity,X0,additive_identity)
| ~ product(X0,a,X1) ),
inference(instantiation,[status(thm)],[c_2336]) ).
tcf(c_10211,plain,
! [X0: $i] :
( sum(b,b,b)
| ~ product(additive_identity,a,b)
| ~ sum(additive_identity,X0,additive_identity)
| ~ product(X0,a,b) ),
inference(instantiation,[status(thm)],[c_4402]) ).
tcf(c_10212,plain,
! [X0: $i] :
( sum(additive_identity,b,additive_identity)
| ~ sum(b,b,b)
| ~ sum(X0,b,additive_identity) ),
inference(instantiation,[status(thm)],[c_296]) ).
tcf(c_10213,plain,
( sum(b,b,b)
| ~ sum(additive_identity,additive_identity,additive_identity)
| ~ product(additive_identity,a,b) ),
inference(instantiation,[status(thm)],[c_10211]) ).
tcf(c_22071,plain,
( sum(additive_identity,b,additive_identity)
| ~ sum(b,b,b)
| ~ sum(additive_inverse(b),b,additive_identity) ),
inference(instantiation,[status(thm)],[c_10212]) ).
tcf(c_22072,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_22071,c_10213,c_350,c_111,c_108,c_107,c_92,c_106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD043-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.35 % Computer : n013.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Fri Sep 25 10:48:51 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 0.13/0.43
% 0.13/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.43
% 0.13/0.43 % Detected problem language: tptp
% 0.13/0.45 % Proving...
% 10.54/2.97 % SZS status Started for theBenchmark.p
% 10.54/2.97 % SZS status Unsatisfiable for theBenchmark.p
% 10.54/2.97
% 10.54/2.97 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.54/2.97
% 10.54/2.97 % ------ iProver source info
% 10.54/2.97
% 10.54/2.97 % git: date: 2026-07-19 20:42:38 +0200
% 10.54/2.97 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.54/2.97 % git: non_committed_changes: false
% 10.54/2.97
% 10.54/2.97 % ------ Parsing...% successful
% 10.54/2.97
% 10.54/2.97
% 10.54/2.97 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.54/2.97
% 10.54/2.97 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 10.54/2.97
% 10.54/2.97 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.54/2.97 % ------ Proving...
% 10.54/2.97 % ------ Problem Properties
% 10.54/2.97
% 10.54/2.97 %
% 10.54/2.97 % clauses 30
% 10.54/2.97 % conjectures 2
% 10.54/2.97 % EPR 22
% 10.54/2.97 % Horn 27
% 10.54/2.97 % unary 7
% 10.54/2.97 % binary 6
% 10.54/2.97 % lits 81
% 10.54/2.97 % lits eq 0
% 10.54/2.97 % fd_pure 0
% 10.54/2.97 % fd_pseudo 0
% 10.54/2.97 % fd_cond 0
% 10.54/2.97 % fd_pseudo_cond 0
% 10.54/2.97 % AC symbols 0
% 10.54/2.97
% 10.54/2.97 % ------ Schedule dynamic 5 is on
% 10.54/2.97
% 10.54/2.97 % ------ no equalities: superposition off
% 10.54/2.97
% 10.54/2.97 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.54/2.97
% 10.54/2.97
% 10.54/2.97 % ------
% 10.54/2.97 % Current options:
% 10.54/2.97 % ------
% 10.54/2.97
% 10.54/2.97
% 10.54/2.97 %
% 10.54/2.97
% 10.54/2.97 % ------ Proving...
% 10.54/2.97 %
% 10.54/2.97
% 10.54/2.97 % SZS status Unsatisfiable for theBenchmark.p
% 10.54/2.97
% 10.54/2.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.54/2.98
% 10.54/2.98
%------------------------------------------------------------------------------