%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD019-1 : 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 : n026.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 01:15:38 PM UTC 2026
% Result : Unsatisfiable 4.83s 1.53s
% Output : CNFRefutation 4.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 39 ( 13 unt; 1 def)
% Number of atoms : 90 ( 1 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 74 ( 38 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 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; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( ~ defined(X0)
| equalish(add(additive_identity,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_identity_addition) ).
fof(f3,axiom,
! [X0] :
( ~ defined(X0)
| equalish(add(X0,additive_inverse(X0)),additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_addition) ).
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(f12,axiom,
! [X0] :
( ~ defined(X0)
| defined(additive_inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_inverse) ).
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(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,negated_conjecture,
equalish(additive_inverse(a),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse_equals_additive_identity_2) ).
fof(f30,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_3) ).
tcf(c_80,plain,
! [X0: $i] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_81,plain,
! [X0: $i] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X1)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_90,plain,
! [X0: $i] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i] :
( equalish(X0,X2)
| ~ equalish(X1,X2)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_102,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_106,plain,
defined(a),
inference(cnf_transformation,[],[f28]) ).
tcf(c_107,negated_conjecture,
equalish(additive_inverse(a),additive_identity),
inference(cnf_transformation,[],[f29]) ).
tcf(c_108,negated_conjecture,
~ equalish(a,additive_identity),
inference(cnf_transformation,[],[f30]) ).
tcf(c_279,definition,
iPr_def_10 = additive_inverse(a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_281,negated_conjecture,
equalish(iPr_def_10,additive_identity),
inference(demodulation,[status(thm)],[c_107,c_279]) ).
tcf(c_700,plain,
( defined(iPr_def_10)
| ~ defined(a) ),
inference(superposition,[status(thm)],[c_279,c_90]) ).
tcf(c_701,plain,
defined(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_700,c_106]) ).
tcf(c_757,plain,
( equalish(add(a,iPr_def_10),additive_identity)
| ~ defined(a) ),
inference(superposition,[status(thm)],[c_279,c_81]) ).
tcf(c_759,plain,
equalish(add(a,iPr_def_10),additive_identity),
inference(forward_subsumption_resolution,[status(thm)],[c_757,c_106]) ).
tcf(c_763,plain,
equalish(additive_identity,add(a,iPr_def_10)),
inference(superposition,[status(thm)],[c_759,c_100]) ).
tcf(c_845,plain,
! [X0: $i] :
( equalish(additive_identity,X0)
| ~ equalish(add(a,iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_763,c_101]) ).
tcf(c_954,plain,
( equalish(a,additive_identity)
| ~ equalish(additive_identity,a) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_1013,plain,
! [X0: $i] :
( equalish(additive_identity,a)
| ~ equalish(additive_identity,X0)
| ~ equalish(X0,a) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_1399,plain,
( equalish(additive_identity,add(iPr_def_10,a))
| ~ defined(iPr_def_10)
| ~ defined(a) ),
inference(superposition,[status(thm)],[c_82,c_845]) ).
tcf(c_1407,plain,
equalish(additive_identity,add(iPr_def_10,a)),
inference(forward_subsumption_resolution,[status(thm)],[c_1399,c_701,c_106]) ).
tcf(c_1412,plain,
( equalish(additive_identity,a)
| ~ equalish(additive_identity,add(additive_identity,a))
| ~ equalish(add(additive_identity,a),a) ),
inference(instantiation,[status(thm)],[c_1013]) ).
tcf(c_1413,plain,
( equalish(add(additive_identity,a),a)
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_1968,plain,
! [X0: $i] :
( equalish(additive_identity,X0)
| ~ equalish(add(iPr_def_10,a),X0) ),
inference(superposition,[status(thm)],[c_1407,c_101]) ).
tcf(c_6369,plain,
! [X0: $i] :
( equalish(additive_identity,add(X0,a))
| ~ defined(a)
| ~ equalish(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_102,c_1968]) ).
tcf(c_6384,plain,
! [X0: $i] :
( equalish(additive_identity,add(X0,a))
| ~ equalish(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6369,c_106]) ).
tcf(c_6387,plain,
( equalish(additive_identity,add(additive_identity,a))
| ~ equalish(iPr_def_10,additive_identity) ),
inference(instantiation,[status(thm)],[c_6384]) ).
tcf(c_6388,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6387,c_1413,c_1412,c_954,c_281,c_108,c_106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : FLD019-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.44 % Computer : n026.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Fri Sep 25 10:43:40 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.51 Running first-order theorem proving
% 0.17/0.51 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
% 0.24/0.52
% 0.24/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.24/0.52
% 0.24/0.52 % Detected problem language: tptp
% 0.24/0.54 % Proving...
% 4.83/1.53 % SZS status Started for theBenchmark.p
% 4.83/1.53 % SZS status Unsatisfiable for theBenchmark.p
% 4.83/1.53
% 4.83/1.53 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.83/1.53
% 4.83/1.53 % ------ iProver source info
% 4.83/1.53
% 4.83/1.53 % git: date: 2026-07-19 20:42:38 +0200
% 4.83/1.53 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.83/1.53 % git: non_committed_changes: false
% 4.83/1.53
% 4.83/1.53 % ------ Parsing...% successful
% 4.83/1.53
% 4.83/1.53
% 4.83/1.53 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.83/1.53
% 4.83/1.53 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.83/1.53
% 4.83/1.53 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.83/1.53
% 4.83/1.53 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.83/1.53 % ------ Proving...
% 4.83/1.53 % ------ Problem Properties
% 4.83/1.53
% 4.83/1.53 %
% 4.83/1.53 % clauses 31
% 4.83/1.53 % conjectures 2
% 4.83/1.53 % EPR 13
% 4.83/1.53 % Horn 28
% 4.83/1.53 % unary 7
% 4.83/1.53 % binary 6
% 4.83/1.53 % lits 77
% 4.83/1.53 % lits eq 1
% 4.83/1.53 % fd_pure 0
% 4.83/1.53 % fd_pseudo 0
% 4.83/1.53 % fd_cond 0
% 4.83/1.53 % fd_pseudo_cond 0
% 4.83/1.53 % AC symbols 0
% 4.83/1.53
% 4.83/1.53 % ------ Schedule dynamic 5 is on
% 4.83/1.53
% 4.83/1.53 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.83/1.53
% 4.83/1.53
% 4.83/1.53 % ------
% 4.83/1.53 % Current options:
% 4.83/1.53 % ------
% 4.83/1.53
% 4.83/1.53
% 4.83/1.53 %
% 4.83/1.53
% 4.83/1.53 % ------ Proving...
% 4.83/1.53 %
% 4.83/1.53
% 4.83/1.53 % SZS status Unsatisfiable for theBenchmark.p
% 4.83/1.53
% 4.83/1.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.83/1.54
% 4.83/1.54
%------------------------------------------------------------------------------