%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : AGT015+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 : n021.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 04:03:47 PM UTC 2026
% Result : Theorem 1.32s 1.78s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 15 ~; 7 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 30 ( 5 sgn 14 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query_15,conjecture,
? [X7,X8] : ~ accept_city(X7,X8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_15) ).
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_12,axiom,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_12) ).
fof(event_11,axiom,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_11) ).
fof(c_0_5,negated_conjecture,
~ ? [X7,X8] : ~ accept_city(X7,X8),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[query_15])]) ).
fof(c_0_6,plain,
! [X107,X108,X109] :
( ~ the_agent_not_in_any_proposed_teams(X107,X108,X109)
| ~ accept_city(X107,X109)
| ~ accept_leader(X107,X108) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_6])]) ).
fof(c_0_7,negated_conjecture,
! [X160,X161] : accept_city(X160,X161),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).
fof(c_0_8,plain,
! [X104,X105,X106] :
( ~ any_agent_in_all_proposed_teams(X104,X105,X106)
| accept_leader(X104,X105) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_5])]) ).
cnf(c_0_9,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_6]) ).
cnf(c_0_10,negated_conjecture,
accept_city(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( accept_leader(X1,X2)
| ~ any_agent_in_all_proposed_teams(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(split_conjunct,[status(thm)],[event_12]) ).
cnf(c_0_13,negated_conjecture,
( ~ accept_leader(X1,X2)
| ~ the_agent_not_in_any_proposed_teams(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).
cnf(c_0_14,plain,
accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(split_conjunct,[status(thm)],[event_11]) ).
cnf(c_0_16,negated_conjecture,
~ the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,X1),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
$false,
inference(sr,[status(thm)],[c_0_15,c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : AGT015+1 : TPTP v9.2.1. Bugfixed v3.1.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n021.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 10:11:10 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.32/1.78 % Version : CSE_E---1.7
% 1.32/1.78 % Problem : theBenchmark.p
% 1.32/1.78 % SZS status Theorem for theBenchmark.p
% 1.32/1.78 % SZS output start CNFRefutation
% See solution above
% 1.32/1.78 % Total time : 1.424s
%------------------------------------------------------------------------------