%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : AGT004+1 : TPTP v9.2.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:03:45 PM UTC 2026
% Result : Theorem 1.46s 1.80s
% Output : CNFRefutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 42 ( 19 ~; 14 |; 6 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% 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 : 31 ( 3 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a1_1,axiom,
! [X1,X2,X3,X4] :
( accept_team(X1,X4,X2,X3)
<=> ( accept_city(X1,X2)
& accept_leader(X1,X4)
& accept_number(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_1) ).
fof(query_4,conjecture,
~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_4) ).
fof(a1_6,axiom,
! [X1,X4,X2] :
( the_agent_not_in_any_proposed_teams(X1,X4,X2)
=> ~ ( accept_city(X1,X2)
& accept_leader(X1,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_6) ).
fof(a1_5,axiom,
! [X1,X4,X2] :
( any_agent_in_all_proposed_teams(X1,X4,X2)
=> accept_leader(X1,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_5) ).
fof(event_38,axiom,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_38) ).
fof(event_37,axiom,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_37) ).
fof(c_0_6,plain,
! [X88,X89,X90,X91] :
( ( accept_city(X88,X89)
| ~ accept_team(X88,X91,X89,X90) )
& ( accept_leader(X88,X91)
| ~ accept_team(X88,X91,X89,X90) )
& ( accept_number(X88,X90)
| ~ accept_team(X88,X91,X89,X90) )
& ( ~ accept_city(X88,X89)
| ~ accept_leader(X88,X91)
| ~ accept_number(X88,X90)
| accept_team(X88,X91,X89,X90) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_1])])]) ).
fof(c_0_7,negated_conjecture,
accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[query_4])]) ).
fof(c_0_8,plain,
! [X105,X106,X107] :
( ~ the_agent_not_in_any_proposed_teams(X105,X106,X107)
| ~ accept_city(X105,X107)
| ~ accept_leader(X105,X106) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_6])]) ).
cnf(c_0_9,plain,
( accept_city(X1,X2)
| ~ accept_team(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X102,X103,X104] :
( ~ any_agent_in_all_proposed_teams(X102,X103,X104)
| accept_leader(X102,X103) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_5])]) ).
cnf(c_0_12,plain,
( ~ the_agent_not_in_any_proposed_teams(X1,X2,X3)
| ~ accept_city(X1,X3)
| ~ accept_leader(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
accept_city(countryamedicalorganization,coastvillage),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( accept_leader(X1,X2)
| ~ any_agent_in_all_proposed_teams(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(split_conjunct,[status(thm)],[event_38]) ).
cnf(c_0_16,negated_conjecture,
( ~ the_agent_not_in_any_proposed_teams(countryamedicalorganization,X1,coastvillage)
| ~ accept_leader(countryamedicalorganization,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(split_conjunct,[status(thm)],[event_37]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : AGT004+1 : TPTP v9.2.1. Bugfixed v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n020.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 10:08:50 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.46/1.80 % Version : CSE_E---1.7
% 1.46/1.80 % Problem : theBenchmark.p
% 1.46/1.80 % SZS status Theorem for theBenchmark.p
% 1.46/1.80 % SZS output start CNFRefutation
% See solution above
% 1.46/1.80 % Total time : 1.424s
%------------------------------------------------------------------------------