%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : AGT016+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 : n026.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 04:03:48 PM UTC 2026
% Result : Theorem 1.51s 1.82s
% Output : CNFRefutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 64 ( 29 ~; 22 |; 10 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 30 ( 3 sgn 16 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query_16,conjecture,
? [X7,X8] : ~ accept_population(muslimcountrybhumanitarianorganization,X7,X8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_16) ).
fof(a2_9,axiom,
! [X1] :
( ( accept_population(X1,atheist,n75)
& accept_population(X1,christian,n24)
& accept_population(X1,muslim,n1)
& accept_population(X1,native,n0)
& accept_population(X1,other,n0) )
<=> accept_city(X1,towna) ),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a2_9) ).
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_249,axiom,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_249) ).
fof(event_248,axiom,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_248) ).
fof(c_0_6,negated_conjecture,
~ ? [X7,X8] : ~ accept_population(muslimcountrybhumanitarianorganization,X7,X8),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[query_16])]) ).
fof(c_0_7,plain,
! [X120] :
( ( ~ accept_population(X120,atheist,n75)
| ~ accept_population(X120,christian,n24)
| ~ accept_population(X120,muslim,n1)
| ~ accept_population(X120,native,n0)
| ~ accept_population(X120,other,n0)
| accept_city(X120,towna) )
& ( accept_population(X120,atheist,n75)
| ~ accept_city(X120,towna) )
& ( accept_population(X120,christian,n24)
| ~ accept_city(X120,towna) )
& ( accept_population(X120,muslim,n1)
| ~ accept_city(X120,towna) )
& ( accept_population(X120,native,n0)
| ~ accept_city(X120,towna) )
& ( accept_population(X120,other,n0)
| ~ accept_city(X120,towna) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_9])])]) ).
fof(c_0_8,negated_conjecture,
! [X160,X161] : accept_population(muslimcountrybhumanitarianorganization,X160,X161),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).
fof(c_0_9,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])]) ).
cnf(c_0_10,plain,
( accept_city(X1,towna)
| ~ accept_population(X1,atheist,n75)
| ~ accept_population(X1,christian,n24)
| ~ accept_population(X1,muslim,n1)
| ~ accept_population(X1,native,n0)
| ~ accept_population(X1,other,n0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
accept_population(muslimcountrybhumanitarianorganization,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_12,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_13,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_9]) ).
cnf(c_0_14,negated_conjecture,
accept_city(muslimcountrybhumanitarianorganization,towna),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_11]),c_0_11]),c_0_11]),c_0_11])]) ).
cnf(c_0_15,plain,
( accept_leader(X1,X2)
| ~ any_agent_in_all_proposed_teams(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
inference(split_conjunct,[status(thm)],[event_249]) ).
cnf(c_0_17,negated_conjecture,
( ~ the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,X1,towna)
| ~ accept_leader(muslimcountrybhumanitarianorganization,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
accept_leader(muslimcountrybhumanitarianorganization,sufferterragovernment),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
inference(split_conjunct,[status(thm)],[event_248]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : AGT016+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
% 0.15/0.33 % Computer : n026.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 10:11:08 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.51/1.82 % Version : CSE_E---1.7
% 1.51/1.82 % Problem : theBenchmark.p
% 1.51/1.82 % SZS status Theorem for theBenchmark.p
% 1.51/1.82 % SZS output start CNFRefutation
% See solution above
% 1.51/1.82 % Total time : 1.424s
%------------------------------------------------------------------------------