%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD002-3 : 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 : n010.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 01:15:33 PM UTC 2026
% Result : Unsatisfiable 3.76s 1.30s
% Output : CNFRefutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 9 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 76 ( 39 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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 : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
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(f8,axiom,
! [X0] :
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
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(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,axiom,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_3) ).
fof(f30,negated_conjecture,
~ sum(additive_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_4) ).
tcf(c_81,plain,
! [X0: $i] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_86,plain,
! [X0: $i] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,X0,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f10]) ).
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_105,plain,
defined(a),
inference(cnf_transformation,[],[f27]) ).
tcf(c_107,plain,
product(multiplicative_identity,a,b),
inference(cnf_transformation,[],[f29]) ).
tcf(c_108,negated_conjecture,
~ sum(additive_identity,a,b),
inference(cnf_transformation,[],[f30]) ).
tcf(c_110,plain,
( product(multiplicative_identity,additive_identity,additive_identity)
| ~ defined(additive_identity) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sum(additive_identity,a,b)
| ~ product(X2,X3,b)
| ~ product(X1,X3,a)
| ~ product(X0,X3,additive_identity)
| ~ sum(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_298,plain,
( product(a,multiplicative_identity,b)
| ~ product(multiplicative_identity,a,b) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_299,plain,
! [X0: $i] :
( product(X0,multiplicative_identity,X0)
| ~ product(multiplicative_identity,X0,X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_300,plain,
( product(additive_identity,multiplicative_identity,additive_identity)
| ~ product(multiplicative_identity,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_299]) ).
tcf(c_326,plain,
( sum(additive_identity,a,a)
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_388,plain,
( product(multiplicative_identity,a,a)
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_428,plain,
! [X0: $i,X1: $i] :
( sum(additive_identity,a,b)
| ~ product(additive_identity,multiplicative_identity,additive_identity)
| ~ product(X1,multiplicative_identity,b)
| ~ product(X0,multiplicative_identity,a)
| ~ sum(additive_identity,X0,X1) ),
inference(instantiation,[status(thm)],[c_292]) ).
tcf(c_432,plain,
( product(a,multiplicative_identity,a)
| ~ product(multiplicative_identity,a,a) ),
inference(instantiation,[status(thm)],[c_299]) ).
tcf(c_1020,plain,
! [X0: $i] :
( sum(additive_identity,a,b)
| ~ product(additive_identity,multiplicative_identity,additive_identity)
| ~ product(a,multiplicative_identity,a)
| ~ sum(additive_identity,a,X0)
| ~ product(X0,multiplicative_identity,b) ),
inference(instantiation,[status(thm)],[c_428]) ).
tcf(c_3772,plain,
( sum(additive_identity,a,b)
| ~ sum(additive_identity,a,a)
| ~ product(additive_identity,multiplicative_identity,additive_identity)
| ~ product(a,multiplicative_identity,b)
| ~ product(a,multiplicative_identity,a) ),
inference(instantiation,[status(thm)],[c_1020]) ).
tcf(c_3773,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3772,c_432,c_388,c_326,c_300,c_298,c_110,c_108,c_107,c_92,c_105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD002-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n010.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Fri Sep 25 10:34:14 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 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
% 0.16/0.42
% 0.16/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.42
% 0.16/0.42 % Detected problem language: tptp
% 0.16/0.43 % Proving...
% 3.76/1.30 % SZS status Started for theBenchmark.p
% 3.76/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.76/1.30
% 3.76/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.76/1.30
% 3.76/1.30 % ------ iProver source info
% 3.76/1.30
% 3.76/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 3.76/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.76/1.30 % git: non_committed_changes: false
% 3.76/1.30
% 3.76/1.30 % ------ Parsing...% successful
% 3.76/1.30
% 3.76/1.30
% 3.76/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.76/1.30
% 3.76/1.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.76/1.30
% 3.76/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.76/1.30 % ------ Proving...
% 3.76/1.30 % ------ Problem Properties
% 3.76/1.30
% 3.76/1.30 %
% 3.76/1.30 % clauses 30
% 3.76/1.30 % conjectures 1
% 3.76/1.30 % EPR 22
% 3.76/1.30 % Horn 27
% 3.76/1.30 % unary 7
% 3.76/1.30 % binary 6
% 3.76/1.30 % lits 81
% 3.76/1.30 % lits eq 0
% 3.76/1.30 % fd_pure 0
% 3.76/1.30 % fd_pseudo 0
% 3.76/1.30 % fd_cond 0
% 3.76/1.30 % fd_pseudo_cond 0
% 3.76/1.30 % AC symbols 0
% 3.76/1.30
% 3.76/1.30 % ------ Schedule dynamic 5 is on
% 3.76/1.30
% 3.76/1.30 % ------ no equalities: superposition off
% 3.76/1.30
% 3.76/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.76/1.30
% 3.76/1.30
% 3.76/1.30 % ------
% 3.76/1.30 % Current options:
% 3.76/1.30 % ------
% 3.76/1.30
% 3.76/1.30
% 3.76/1.30 %
% 3.76/1.30
% 3.76/1.30 % ------ Proving...
% 3.76/1.30 %
% 3.76/1.30
% 3.76/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.76/1.30
% 3.76/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.76/1.30
% 3.76/1.30
%------------------------------------------------------------------------------