%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD005-1 : 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 : 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 01:15:34 PM UTC 2026
% Result : Unsatisfiable 73.97s 12.41s
% Output : CNFRefutation 73.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 9 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 116 ( 60 ~; 56 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ defined(X2)
| ~ defined(X1)
| ~ defined(X0)
| equalish(add(X0,add(X1,X2)),add(add(X0,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',associativity_addition) ).
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(f12,axiom,
! [X0] :
( ~ defined(X0)
| defined(additive_inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_inverse) ).
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,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,negated_conjecture,
! [X0] : ~ equalish(add(a,X0),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_not_equal_to_b_3) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] :
( equalish(add(X0,add(X1,X2)),add(add(X0,X1),X2))
| ~ defined(X2)
| ~ defined(X1)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f1]) ).
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_90,plain,
! [X0: $i] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
inference(cnf_transformation,[],[f12]) ).
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,plain,
defined(b),
inference(cnf_transformation,[],[f29]) ).
tcf(c_108,negated_conjecture,
! [X0: $i] : ~ equalish(add(a,X0),b),
inference(cnf_transformation,[],[f30]) ).
tcf(c_310,plain,
! [X0: $i,X1: $i] :
( equalish(add(a,X0),b)
| ~ equalish(X1,b)
| ~ equalish(add(a,X0),X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_334,plain,
( equalish(add(additive_identity,b),b)
| ~ defined(b) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_344,plain,
! [X0: $i,X1: $i] :
( equalish(X0,b)
| ~ equalish(X1,b)
| ~ equalish(X0,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_462,plain,
! [X0: $i] :
( equalish(X0,b)
| ~ equalish(add(additive_identity,b),b)
| ~ equalish(X0,add(additive_identity,b)) ),
inference(instantiation,[status(thm)],[c_344]) ).
tcf(c_592,plain,
! [X0: $i,X1: $i] :
( equalish(add(a,add(X0,X1)),b)
| ~ equalish(add(add(a,X0),X1),b)
| ~ equalish(add(a,add(X0,X1)),add(add(a,X0),X1)) ),
inference(instantiation,[status(thm)],[c_310]) ).
tcf(c_593,plain,
! [X0: $i,X1: $i] :
( equalish(add(a,add(X0,X1)),add(add(a,X0),X1))
| ~ defined(a)
| ~ defined(X1)
| ~ defined(X0) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_597,plain,
( equalish(add(a,additive_inverse(a)),additive_identity)
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_693,plain,
! [X0: $i] :
( equalish(add(X0,b),b)
| ~ equalish(add(additive_identity,b),b)
| ~ equalish(add(X0,b),add(additive_identity,b)) ),
inference(instantiation,[status(thm)],[c_462]) ).
tcf(c_694,plain,
! [X0: $i] :
( equalish(add(X0,b),add(additive_identity,b))
| ~ defined(b)
| ~ equalish(X0,additive_identity) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_1590,plain,
! [X0: $i] :
( equalish(add(add(a,X0),b),b)
| ~ equalish(add(additive_identity,b),b)
| ~ equalish(add(add(a,X0),b),add(additive_identity,b)) ),
inference(instantiation,[status(thm)],[c_693]) ).
tcf(c_1591,plain,
! [X0: $i] :
( equalish(add(a,add(X0,b)),b)
| ~ equalish(add(add(a,X0),b),b)
| ~ equalish(add(a,add(X0,b)),add(add(a,X0),b)) ),
inference(instantiation,[status(thm)],[c_592]) ).
tcf(c_3678,plain,
! [X0: $i] :
( equalish(add(add(a,X0),b),add(additive_identity,b))
| ~ defined(b)
| ~ equalish(add(a,X0),additive_identity) ),
inference(instantiation,[status(thm)],[c_694]) ).
tcf(c_5523,plain,
! [X0: $i] :
( equalish(add(a,add(X0,b)),add(add(a,X0),b))
| ~ defined(b)
| ~ defined(a)
| ~ defined(X0) ),
inference(instantiation,[status(thm)],[c_593]) ).
tcf(c_13676,plain,
! [X0: $i] : ~ equalish(add(a,add(X0,b)),b),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_16944,plain,
( equalish(add(add(a,additive_inverse(a)),b),add(additive_identity,b))
| ~ defined(b)
| ~ equalish(add(a,additive_inverse(a)),additive_identity) ),
inference(instantiation,[status(thm)],[c_3678]) ).
tcf(c_19819,plain,
( equalish(add(add(a,additive_inverse(a)),b),b)
| ~ equalish(add(additive_identity,b),b)
| ~ equalish(add(add(a,additive_inverse(a)),b),add(additive_identity,b)) ),
inference(instantiation,[status(thm)],[c_1590]) ).
tcf(c_28635,plain,
( equalish(add(a,add(additive_inverse(a),b)),add(add(a,additive_inverse(a)),b))
| ~ defined(b)
| ~ defined(a)
| ~ defined(additive_inverse(a)) ),
inference(instantiation,[status(thm)],[c_5523]) ).
tcf(c_28656,plain,
( equalish(add(a,add(additive_inverse(a),b)),b)
| ~ equalish(add(add(a,additive_inverse(a)),b),b)
| ~ equalish(add(a,add(additive_inverse(a),b)),add(add(a,additive_inverse(a)),b)) ),
inference(instantiation,[status(thm)],[c_1591]) ).
tcf(c_38343,plain,
( defined(additive_inverse(a))
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_46451,plain,
~ equalish(add(a,add(additive_inverse(a),b)),b),
inference(instantiation,[status(thm)],[c_13676]) ).
tcf(c_46452,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_46451,c_38343,c_28656,c_28635,c_19819,c_16944,c_597,c_334,c_106,c_107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD005-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 10:34:14 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 73.97/12.41 % SZS status Started for theBenchmark.p
% 73.97/12.41 % SZS status Unsatisfiable for theBenchmark.p
% 73.97/12.41
% 73.97/12.41 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 73.97/12.41
% 73.97/12.41 % ------ iProver source info
% 73.97/12.41
% 73.97/12.41 % git: date: 2026-07-19 20:42:38 +0200
% 73.97/12.41 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 73.97/12.41 % git: non_committed_changes: false
% 73.97/12.41
% 73.97/12.41 % ------ Parsing...% successful
% 73.97/12.41
% 73.97/12.41
% 73.97/12.41 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 73.97/12.41
% 73.97/12.41 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 73.97/12.41
% 73.97/12.41 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 73.97/12.41 % ------ Proving...
% 73.97/12.41 % ------ Problem Properties
% 73.97/12.41
% 73.97/12.41 %
% 73.97/12.41 % clauses 30
% 73.97/12.41 % conjectures 1
% 73.97/12.41 % EPR 12
% 73.97/12.41 % Horn 27
% 73.97/12.41 % unary 6
% 73.97/12.41 % binary 6
% 73.97/12.41 % lits 76
% 73.97/12.41 % lits eq 0
% 73.97/12.41 % fd_pure 0
% 73.97/12.41 % fd_pseudo 0
% 73.97/12.41 % fd_cond 0
% 73.97/12.41 % fd_pseudo_cond 0
% 73.97/12.41 % AC symbols 0
% 73.97/12.41
% 73.97/12.41 % ------ Input Options Time Limit: Unbounded
% 73.97/12.41
% 73.97/12.41
% 73.97/12.41 % ------
% 73.97/12.41 % Current options:
% 73.97/12.41 % ------
% 73.97/12.41
% 73.97/12.41
% 73.97/12.41 %
% 73.97/12.41
% 73.97/12.41 % ------ Proving...
% 73.97/12.41 %
% 73.97/12.41
% 73.97/12.41 % SZS status Unsatisfiable for theBenchmark.p
% 73.97/12.41
% 73.97/12.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 73.97/12.41
% 73.97/12.41
%------------------------------------------------------------------------------