%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW469_1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n016.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 03:29:43 PM UTC 2026
% Result : Theorem 0.47s 1.28s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 15 ~; 4 |; 0 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 3 ( 3 fml; 0 var)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn 9 !; 7 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
sK0: state ).
tff(func_def_1,type,
sK1: state ).
tff(func_def_2,type,
sK2: state ).
tff(type_def_5,type,
state: $tType ).
tff(f1,axiom,
( hoare_1310879719gleton
<=> ? [X0: state,X1: state] : ( X0 != X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).
tff(f5,axiom,
hoare_1310879719gleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f6,conjecture,
! [X0: state] :
~ ! [X1: state] : ( X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(f7,negated_conjecture,
~ ! [X0: state] :
~ ! [X1: state] : ( X1 = X0 ),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f8,plain,
( hoare_1310879719gleton
=> ? [X0: state,X1: state] : ( X0 != X1 ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
tff(f12,plain,
( ~ hoare_1310879719gleton
| ? [X0: state,X1: state] : ( X0 != X1 ) ),
inference(ennf_transformation,[],[f8]) ).
tff(f13,plain,
? [X0: state] :
! [X1: state] : ( X1 = X0 ),
inference(ennf_transformation,[],[f7]) ).
tff(f14,plain,
( ~ hoare_1310879719gleton
| ( sK0 != sK1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f12]) ).
tff(f15,plain,
! [X1: state] : ( sK2 = X1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f13]) ).
tff(f16,plain,
( ~ hoare_1310879719gleton
| ( sK0 != sK1 ) ),
inference(cnf_transformation,[],[f14]) ).
tff(f17,plain,
hoare_1310879719gleton,
inference(cnf_transformation,[],[f5]) ).
tff(f18,plain,
! [X1: state] : ( sK2 = X1 ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_49,plain,
( ~ hoare_1310879719gleton
| ( sK0 != sK1 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_50,plain,
hoare_1310879719gleton,
inference(cnf_transformation,[],[f17]) ).
tcf(c_51,negated_conjecture,
! [X0_state: state] : X0_state = sK2,
inference(cnf_transformation,[],[f18]) ).
tcf(c_53,plain,
sK0 != sK1,
inference(global_subsumption_just,[status(thm)],[c_49,c_50,c_49]) ).
tcf(c_61,plain,
! [X0_state: state] : X0_state = iProver_smallest_state,
inference(demodulation,[status(thm)],[c_51]) ).
tcf(c_62,plain,
iProver_smallest_state != iProver_smallest_state,
inference(demodulation,[status(thm)],[c_53,c_61]) ).
tcf(c_63,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW469_1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n016.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 : Thu Sep 24 22:33:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 0.47/1.28 % SZS status Started for theBenchmark.p
% 0.47/1.28 % SZS status Theorem for theBenchmark.p
% 0.47/1.28
% 0.47/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.47/1.28
% 0.47/1.28 % ------ iProver source info
% 0.47/1.28
% 0.47/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 0.47/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.47/1.28 % git: non_committed_changes: false
% 0.47/1.28
% 0.47/1.28 % ------ Parsing...
% 0.47/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 0.47/1.28 %
% 0.47/1.28
% 0.47/1.28 % ------ Preprocessing...%
% 0.47/1.28
% 0.47/1.28 % SZS status Theorem for theBenchmark.p
% 0.47/1.28
% 0.47/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.28
% 0.47/1.28
%------------------------------------------------------------------------------