%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : AGT005+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 : n010.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 04:03:46 PM UTC 2026
% Result : Theorem 108.30s 47.35s
% Output : CNFRefutation 108.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 45 ( 27 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 75 ( 33 ~; 31 |; 8 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-1 aty)
% Number of variables : 54 ( 6 sgn 22 !; 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(less_entry_point_pos_pos,axiom,
! [X7,X8,X16,X17] :
( ( rdn_translate(X7,rdn_pos(X16))
& rdn_translate(X8,rdn_pos(X17))
& rdn_positive_less(X16,X17) )
=> less(X7,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).
fof(a1_2,axiom,
! [X1,X3,X5] :
( ( accept_number(X1,X3)
& less(X5,X3) )
=> accept_number(X1,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_2) ).
fof(event_90,axiom,
accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_90) ).
fof(rdn5,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn5) ).
fof(rdn4,axiom,
rdn_translate(n4,rdn_pos(rdnn(n4))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn4) ).
fof(rdn_positive_less45,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less45) ).
fof(event_26,axiom,
accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_26) ).
fof(rdn3,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn3) ).
fof(rdn_positive_less34,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less34) ).
fof(event_93,axiom,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_93) ).
fof(query_5,conjecture,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_5) ).
fof(c_0_12,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_13,plain,
! [X139,X140,X141,X142] :
( ~ rdn_translate(X139,rdn_pos(X141))
| ~ rdn_translate(X140,rdn_pos(X142))
| ~ rdn_positive_less(X141,X142)
| less(X139,X140) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_pos_pos])]) ).
fof(c_0_14,plain,
! [X92,X93,X94] :
( ~ accept_number(X92,X93)
| ~ less(X94,X93)
| accept_number(X92,X94) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_2])]) ).
cnf(c_0_15,plain,
( accept_number(X1,X2)
| ~ accept_team(X1,X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5),
inference(split_conjunct,[status(thm)],[event_90]) ).
cnf(c_0_17,plain,
( less(X1,X3)
| ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_translate(X3,rdn_pos(X4))
| ~ rdn_positive_less(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(split_conjunct,[status(thm)],[rdn5]) ).
cnf(c_0_19,plain,
( accept_number(X1,X3)
| ~ accept_number(X1,X2)
| ~ less(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
accept_number(christiansufferterrahumanitarianorganization,n5),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( less(X1,n5)
| ~ rdn_positive_less(X2,rdnn(n5))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
rdn_translate(n4,rdn_pos(rdnn(n4))),
inference(split_conjunct,[status(thm)],[rdn4]) ).
cnf(c_0_23,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(split_conjunct,[status(thm)],[rdn_positive_less45]) ).
cnf(c_0_24,plain,
( accept_number(christiansufferterrahumanitarianorganization,X1)
| ~ less(X1,n5) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
less(n4,n5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_26,plain,
( accept_city(X1,X2)
| ~ accept_team(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_27,plain,
accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
inference(split_conjunct,[status(thm)],[event_26]) ).
cnf(c_0_28,plain,
accept_number(christiansufferterrahumanitarianorganization,n4),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
( less(X1,n4)
| ~ rdn_positive_less(X2,rdnn(n4))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(spm,[status(thm)],[c_0_17,c_0_22]) ).
cnf(c_0_30,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(split_conjunct,[status(thm)],[rdn3]) ).
cnf(c_0_31,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(split_conjunct,[status(thm)],[rdn_positive_less34]) ).
cnf(c_0_32,plain,
( accept_team(X1,X3,X2,X4)
| ~ accept_city(X1,X2)
| ~ accept_leader(X1,X3)
| ~ accept_number(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_33,plain,
accept_city(christiansufferterrahumanitarianorganization,towna),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,plain,
( accept_number(christiansufferterrahumanitarianorganization,X1)
| ~ less(X1,n4) ),
inference(spm,[status(thm)],[c_0_19,c_0_28]) ).
cnf(c_0_35,plain,
less(n3,n4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_36,plain,
( accept_team(christiansufferterrahumanitarianorganization,X1,towna,X2)
| ~ accept_number(christiansufferterrahumanitarianorganization,X2)
| ~ accept_leader(christiansufferterrahumanitarianorganization,X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
accept_number(christiansufferterrahumanitarianorganization,n3),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,plain,
( accept_leader(X1,X2)
| ~ accept_team(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_39,plain,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
inference(split_conjunct,[status(thm)],[event_93]) ).
fof(c_0_40,negated_conjecture,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[query_5])]) ).
cnf(c_0_41,plain,
( accept_team(christiansufferterrahumanitarianorganization,X1,towna,n3)
| ~ accept_leader(christiansufferterrahumanitarianorganization,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_44,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : AGT005+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
% 0.14/0.33 % Computer : n010.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 10:08:06 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 108.30/47.35 % Version : CSE_E---1.7
% 108.30/47.35 % Problem : theBenchmark.p
% 108.30/47.35 % SZS status Theorem for theBenchmark.p
% 108.30/47.35 % SZS output start CNFRefutation
% See solution above
% 108.40/47.42 % Total time : 43.945s
%------------------------------------------------------------------------------