%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : AGT004+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n004.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 12:50:55 PM UTC 2026
% Result : Theorem 5.68s 1.99s
% Output : CNFRefutation 5.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 14 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 65 ( 31 ~; 22 |; 9 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 47 ( 0 sgn 47 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3] :
( accept_team(X0,X3,X1,X2)
<=> ( accept_number(X0,X2)
& accept_leader(X0,X3)
& accept_city(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_1) ).
fof(f5,axiom,
! [X0,X1,X2] :
( any_agent_in_all_proposed_teams(X0,X1,X2)
=> accept_leader(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_5) ).
fof(f6,axiom,
! [X0,X1,X2] :
( the_agent_not_in_any_proposed_teams(X0,X1,X2)
=> ~ ( accept_leader(X0,X1)
& accept_city(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_6) ).
fof(f57,axiom,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_37) ).
fof(f58,axiom,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_38) ).
fof(f556,conjecture,
~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_4) ).
fof(f557,negated_conjecture,
~ ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f558,plain,
accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(flattening,[],[f557]) ).
fof(f568,plain,
! [X0,X1,X2] :
( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
| accept_leader(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f569,plain,
! [X0,X1,X2] :
( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
| ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f570,plain,
! [X0,X1,X2] :
( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
| ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2) ),
inference(flattening,[],[f569]) ).
fof(f585,plain,
! [X0,X1,X2,X3] :
( ( ~ accept_team(X0,X3,X1,X2)
| ( accept_number(X0,X2)
& accept_leader(X0,X3)
& accept_city(X0,X1) ) )
& ( ~ accept_number(X0,X2)
| ~ accept_leader(X0,X3)
| ~ accept_city(X0,X1)
| accept_team(X0,X3,X1,X2) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f586,plain,
! [X0,X1,X2,X3] :
( ( ~ accept_team(X0,X3,X1,X2)
| ( accept_number(X0,X2)
& accept_leader(X0,X3)
& accept_city(X0,X1) ) )
& ( ~ accept_number(X0,X2)
| ~ accept_leader(X0,X3)
| ~ accept_city(X0,X1)
| accept_team(X0,X3,X1,X2) ) ),
inference(flattening,[],[f585]) ).
fof(f617,plain,
! [X2,X3,X0,X1] :
( ~ accept_team(X0,X3,X1,X2)
| accept_city(X0,X1) ),
inference(cnf_transformation,[],[f586]) ).
fof(f623,plain,
! [X2,X0,X1] :
( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
| accept_leader(X0,X1) ),
inference(cnf_transformation,[],[f568]) ).
fof(f624,plain,
! [X2,X0,X1] :
( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
| ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2) ),
inference(cnf_transformation,[],[f570]) ).
fof(f739,plain,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[],[f57]) ).
fof(f740,plain,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[],[f58]) ).
fof(f1238,plain,
accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(cnf_transformation,[],[f558]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( accept_city(X0,X2)
| ~ accept_team(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f617]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(cnf_transformation,[],[f623]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(cnf_transformation,[],[f624]) ).
tcf(c_173,plain,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[],[f739]) ).
tcf(c_174,plain,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[],[f740]) ).
tcf(c_672,negated_conjecture,
accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(cnf_transformation,[],[f1238]) ).
tcf(c_972,plain,
accept_city(countryamedicalorganization,coastvillage),
inference(superposition,[status(thm)],[c_672,c_50]) ).
tcf(c_2762,plain,
( ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
| ~ accept_city(countryamedicalorganization,coastvillage) ),
inference(superposition,[status(thm)],[c_173,c_58]) ).
tcf(c_2809,plain,
accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization),
inference(superposition,[status(thm)],[c_174,c_57]) ).
tcf(c_2836,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2809,c_2762,c_972]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : AGT004+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.44 % Computer : n004.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 04:20:23 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 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
% 0.27/0.52
% 0.27/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.27/0.52
% 0.27/0.52 % Detected problem language: tptp
% 0.27/0.54 % Proving...
% 5.68/1.99 % SZS status Started for theBenchmark.p
% 5.68/1.99 % SZS status Theorem for theBenchmark.p
% 5.68/1.99
% 5.68/1.99 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.68/1.99
% 5.68/1.99 % ------ iProver source info
% 5.68/1.99
% 5.68/1.99 % git: date: 2026-07-19 20:42:38 +0200
% 5.68/1.99 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.68/1.99 % git: non_committed_changes: false
% 5.68/1.99
% 5.68/1.99 % ------ Parsing...
% 5.68/1.99 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 5.68/1.99 % ------ Proving...
% 5.68/1.99 % ------ Problem Properties
% 5.68/1.99
% 5.68/1.99 %
% 5.68/1.99 % clauses 624
% 5.68/1.99 % conjectures 1
% 5.68/1.99 % EPR 341
% 5.68/1.99 % Horn 623
% 5.68/1.99 % unary 525
% 5.68/1.99 % binary 76
% 5.68/1.99 % lits 788
% 5.68/1.99 % lits eq 1
% 5.68/1.99 % fd_pure 0
% 5.68/1.99 % fd_pseudo 0
% 5.68/1.99 % fd_cond 0
% 5.68/1.99 % fd_pseudo_cond 1
% 5.68/1.99 % AC symbols 0
% 5.68/1.99
% 5.68/1.99 % ------ Input Options Time Limit: Unbounded
% 5.68/1.99
% 5.68/1.99
% 5.68/1.99 % ------
% 5.68/1.99 % Current options:
% 5.68/1.99 % ------
% 5.68/1.99
% 5.68/1.99
% 5.68/1.99 %
% 5.68/1.99
% 5.68/1.99 % ------ Proving...
% 5.68/1.99 %
% 5.68/1.99
% 5.68/1.99 % ------ Proving...
% 5.68/1.99 %
% 5.68/1.99
% 5.68/1.99 % ------ Proving...
% 5.68/1.99 %
% 5.68/1.99
% 5.68/1.99 % ------ Proving...
% 5.68/1.99 %
% 5.68/1.99
% 5.68/1.99 % ------ Proving...
% 5.68/1.99 %
% 5.68/1.99
% 5.68/1.99 % ------ Proving...
% 5.68/1.99 %
% 5.68/1.99
% 5.68/1.99 % ------ Proving...
% 5.68/1.99 %
% 5.68/1.99
% 5.68/1.99 % ------ Proving...
% 5.68/1.99 %
% 5.68/1.99
% 5.68/1.99 % ------ Proving...
% 5.68/1.99 %
% 5.68/1.99
% 5.68/1.99 % ------ Proving...
% 5.68/1.99 %
% 5.68/1.99
% 5.68/1.99 % ------ Proving...
% 5.68/1.99 %
% 5.68/1.99
% 5.68/1.99 % ------ Proving...
% 5.68/1.99 %
% 5.68/1.99
% 5.68/1.99 % ------ Proving...
% 5.68/1.99 %
% 5.68/1.99
% 5.68/1.99 % SZS status Theorem for theBenchmark.p
% 5.68/1.99
% 5.68/1.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.68/1.99
% 5.68/1.99
%------------------------------------------------------------------------------