%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD013-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 01:15:36 PM UTC 2026
% Result : Unsatisfiable 1.18s 6.76s
% Output : CNFRefutation 1.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 13 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 80 ( 41 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| equalish(add(X0,X1),add(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',commutativity_addition) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X2,X1)
| ~ equalish(X0,X2)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
fof(f24,axiom,
! [X2,X0,X1] :
( ~ equalish(X0,X2)
| ~ defined(X1)
| equalish(add(X0,X1),add(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_addition) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f33,negated_conjecture,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b_6) ).
fof(f34,negated_conjecture,
equalish(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_equals_d_7) ).
fof(f35,negated_conjecture,
equalish(add(a,c),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_equals_u_8) ).
fof(f36,negated_conjecture,
~ equalish(add(d,b),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_not_equal_to_u_9) ).
tcf(c_86,plain,
defined(b),
inference(cnf_transformation,[],[f29]) ).
tcf(c_87,plain,
defined(c),
inference(cnf_transformation,[],[f30]) ).
tcf(c_90,negated_conjecture,
equalish(a,b),
inference(cnf_transformation,[],[f33]) ).
tcf(c_91,negated_conjecture,
equalish(c,d),
inference(cnf_transformation,[],[f34]) ).
tcf(c_92,negated_conjecture,
equalish(add(a,c),u),
inference(cnf_transformation,[],[f35]) ).
tcf(c_93,negated_conjecture,
~ equalish(add(d,b),u),
inference(cnf_transformation,[],[f36]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( equalish(X0,X2)
| ~ equalish(X1,X2)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] :
( equalish(add(X0,X2),add(X1,X2))
| ~ defined(X2)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X1)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_266,plain,
! [X0: $i] :
( equalish(add(d,b),u)
| ~ equalish(X0,u)
| ~ equalish(add(d,b),X0) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_278,plain,
( equalish(add(d,b),u)
| ~ equalish(add(a,c),u)
| ~ equalish(add(d,b),add(a,c)) ),
inference(instantiation,[status(thm)],[c_266]) ).
tcf(c_288,plain,
( equalish(add(d,b),add(a,c))
| ~ equalish(add(a,c),add(d,b)) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_351,plain,
! [X0: $i] :
( equalish(add(a,c),add(d,b))
| ~ equalish(X0,add(d,b))
| ~ equalish(add(a,c),X0) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_454,plain,
! [X0: $i,X1: $i] :
( equalish(add(a,c),X1)
| ~ equalish(X0,X1)
| ~ equalish(add(a,c),X0) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_456,plain,
! [X0: $i] :
( equalish(add(a,c),add(X0,c))
| ~ defined(c)
| ~ equalish(a,X0) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_609,plain,
! [X0: $i] :
( equalish(add(X0,b),add(d,b))
| ~ defined(b)
| ~ equalish(X0,d) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_1118,plain,
( equalish(add(a,c),add(b,c))
| ~ defined(c)
| ~ equalish(a,b) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_1715,plain,
( equalish(add(c,b),add(d,b))
| ~ defined(b)
| ~ equalish(c,d) ),
inference(instantiation,[status(thm)],[c_609]) ).
tcf(c_2300,plain,
! [X0: $i] :
( equalish(add(a,c),X0)
| ~ equalish(add(b,c),X0)
| ~ equalish(add(a,c),add(b,c)) ),
inference(instantiation,[status(thm)],[c_454]) ).
tcf(c_5998,plain,
( equalish(add(a,c),add(c,b))
| ~ equalish(add(b,c),add(c,b))
| ~ equalish(add(a,c),add(b,c)) ),
inference(instantiation,[status(thm)],[c_2300]) ).
tcf(c_5999,plain,
( equalish(add(b,c),add(c,b))
| ~ defined(c)
| ~ defined(b) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_16171,plain,
( equalish(add(a,c),add(d,b))
| ~ equalish(add(c,b),add(d,b))
| ~ equalish(add(a,c),add(c,b)) ),
inference(instantiation,[status(thm)],[c_351]) ).
tcf(c_16173,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_16171,c_5999,c_5998,c_1715,c_1118,c_288,c_278,c_93,c_92,c_90,c_91,c_86,c_87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD013-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.38 % Computer : n008.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Fri Sep 25 10:39:48 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 1.18/6.76 % SZS status Started for theBenchmark.p
% 1.18/6.76 % SZS status Unsatisfiable for theBenchmark.p
% 1.18/6.76
% 1.18/6.76 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.18/6.76
% 1.18/6.76 % ------ iProver source info
% 1.18/6.76
% 1.18/6.76 % git: date: 2026-07-19 20:42:38 +0200
% 1.18/6.76 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.18/6.76 % git: non_committed_changes: false
% 1.18/6.76
% 1.18/6.76 % ------ Parsing...% successful
% 1.18/6.76
% 1.18/6.76
% 1.18/6.76 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.18/6.76
% 1.18/6.76 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.18/6.76
% 1.18/6.76 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.18/6.76 % ------ Proving...
% 1.18/6.76 % ------ Problem Properties
% 1.18/6.76
% 1.18/6.76 %
% 1.18/6.76 % clauses 29
% 1.18/6.76 % conjectures 4
% 1.18/6.76 % EPR 15
% 1.18/6.76 % Horn 28
% 1.18/6.76 % unary 10
% 1.18/6.76 % binary 3
% 1.18/6.76 % lits 68
% 1.18/6.76 % lits eq 0
% 1.18/6.76 % fd_pure 0
% 1.18/6.76 % fd_pseudo 0
% 1.18/6.76 % fd_cond 0
% 1.18/6.76 % fd_pseudo_cond 0
% 1.18/6.76 % AC symbols 0
% 1.18/6.76
% 1.18/6.76 % ------ Schedule dynamic 5 is on
% 1.18/6.76
% 1.18/6.76 % ------ no equalities: superposition off
% 1.18/6.76
% 1.18/6.76 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.18/6.76
% 1.18/6.76
% 1.18/6.76 % ------
% 1.18/6.76 % Current options:
% 1.18/6.76 % ------
% 1.18/6.76
% 1.18/6.76
% 1.18/6.76 %
% 1.18/6.76
% 1.18/6.76 % ------ Proving...
% 1.18/6.76 %
% 1.18/6.76
% 1.18/6.76 % SZS status Unsatisfiable for theBenchmark.p
% 1.18/6.76
% 1.18/6.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.18/6.77
% 1.18/6.77
%------------------------------------------------------------------------------