%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : AGT005+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 : Sun Sep 27 06:45:47 AM UTC 2026
% Result : Theorem 14.71s 7.86s
% Output : CNFRefutation 14.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 47 ( 24 unt; 0 def)
% Number of atoms : 85 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 63 ( 25 ~; 31 |; 4 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 13 con; 0-0 aty)
% Number of variables : 43 ( 6 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a1_1,axiom,
! [A,C,N,L] :
( accept_team(A,L,C,N)
<=> ( accept_number(A,N)
& accept_leader(A,L)
& accept_city(A,C) ) ),
file('theBenchmark.p',a1_1) ).
fof(a1_2,axiom,
! [A,N,M] :
( ( less(M,N)
& accept_number(A,N) )
=> accept_number(A,M) ),
file('theBenchmark.p',a1_2) ).
fof(less_property,axiom,
! [X,Y] :
( less(X,Y)
<=> ( Y != X
& ~ less(Y,X) ) ),
file('theBenchmark.p',less_property) ).
fof(query_5,conjecture,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
file('theBenchmark.p',query_5) ).
fof(query_5_neg,negated_conjecture,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
inference(assume_negation,[status(cth)],[query_5]) ).
cnf(c_34,plain,
( accept_city(A,C)
| ~ accept_team(A,B,C,D) ),
inference(clausify,[status(thm)],[a1_1]) ).
cnf(c_35,plain,
( accept_leader(A,B)
| ~ accept_team(A,B,C,D) ),
inference(clausify,[status(thm)],[a1_1]) ).
cnf(c_36,plain,
( accept_number(A,D)
| ~ accept_team(A,B,C,D) ),
inference(clausify,[status(thm)],[a1_1]) ).
cnf(c_37,plain,
( ~ accept_number(A,D)
| ~ accept_leader(A,B)
| ~ accept_city(A,C)
| accept_team(A,B,C,D) ),
inference(clausify,[status(thm)],[a1_1]) ).
cnf(c_38,plain,
( accept_number(A,C)
| ~ less(C,B)
| ~ accept_number(A,B) ),
inference(clausify,[status(thm)],[a1_2]) ).
cnf(c_405,plain,
( B = A
| less(B,A)
| less(A,B) ),
inference(clausify,[status(thm)],[less_property]) ).
fof(event_7,axiom,
accept_team(countryccivilorganization,countrybhumanitarianorganization,cityb,n2),
file('theBenchmark.p',event_7) ).
cnf(c_416,plain,
accept_team(countryccivilorganization,countrybhumanitarianorganization,cityb,n2),
inference(clausify,[status(thm)],[event_7]) ).
fof(event_26,axiom,
accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
file('theBenchmark.p',event_26) ).
cnf(c_434,plain,
accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
inference(clausify,[status(thm)],[event_26]) ).
fof(event_90,axiom,
accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5),
file('theBenchmark.p',event_90) ).
cnf(c_497,plain,
accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5),
inference(clausify,[status(thm)],[event_90]) ).
fof(event_93,axiom,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
file('theBenchmark.p',event_93) ).
cnf(c_500,plain,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
inference(clausify,[status(thm)],[event_93]) ).
fof(event_143,axiom,
~ accept_team(countryccivilorganization,countrybhumanitarianorganization,cityb,n5),
file('theBenchmark.p',event_143) ).
cnf(c_550,plain,
~ accept_team(countryccivilorganization,countrybhumanitarianorganization,cityb,n5),
inference(clausify,[status(thm)],[event_143]) ).
fof(event_215,axiom,
accept_number(countryccivilorganization,n3),
file('theBenchmark.p',event_215) ).
cnf(c_622,plain,
accept_number(countryccivilorganization,n3),
inference(clausify,[status(thm)],[event_215]) ).
cnf(c_662,negated_conjecture,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
inference(clausify,[status(thm)],[query_5_neg]) ).
cnf(c_678,plain,
( accept_number(countryccivilorganization,A)
| ~ less(A,n3) ),
inference(resolve,[status(thm)],[c_622,c_38]) ).
cnf(c_679,plain,
( ~ accept_leader(countryccivilorganization,A)
| ~ accept_city(countryccivilorganization,B)
| accept_team(countryccivilorganization,A,B,n3) ),
inference(resolve,[status(thm)],[c_622,c_37]) ).
cnf(c_778,plain,
accept_leader(countryccivilorganization,countrybhumanitarianorganization),
inference(resolve,[status(thm)],[c_416,c_35]) ).
cnf(c_779,plain,
accept_city(countryccivilorganization,cityb),
inference(resolve,[status(thm)],[c_416,c_34]) ).
cnf(c_782,plain,
( ~ accept_number(countryccivilorganization,B)
| ~ accept_city(countryccivilorganization,A)
| accept_team(countryccivilorganization,countrybhumanitarianorganization,A,B) ),
inference(resolve,[status(thm)],[c_778,c_37]) ).
cnf(c_1036,plain,
accept_city(christiansufferterrahumanitarianorganization,towna),
inference(resolve,[status(thm)],[c_434,c_34]) ).
cnf(c_1045,plain,
( ~ accept_number(christiansufferterrahumanitarianorganization,B)
| ~ accept_leader(christiansufferterrahumanitarianorganization,A)
| accept_team(christiansufferterrahumanitarianorganization,A,towna,B) ),
inference(resolve,[status(thm)],[c_1036,c_37]) ).
cnf(c_1239,plain,
accept_number(christiansufferterrahumanitarianorganization,n5),
inference(resolve,[status(thm)],[c_497,c_36]) ).
cnf(c_1242,plain,
( accept_number(christiansufferterrahumanitarianorganization,A)
| ~ less(A,n5) ),
inference(resolve,[status(thm)],[c_1239,c_38]) ).
cnf(c_1253,plain,
accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization),
inference(resolve,[status(thm)],[c_500,c_35]) ).
cnf(c_11870,plain,
( A = n3
| less(n3,A)
| accept_number(countryccivilorganization,A) ),
inference(resolve,[status(thm)],[c_678,c_405]) ).
cnf(c_1407,plain,
( n3 = A
| less(n3,A)
| accept_number(countryccivilorganization,A) ),
inference(copy,[status(thm)],[c_11870]) ).
cnf(c_2813,plain,
( accept_number(christiansufferterrahumanitarianorganization,n3)
| n3 = n5
| accept_number(countryccivilorganization,n5) ),
inference(resolve,[status(thm)],[c_1407,c_1242]) ).
cnf(c_10219,plain,
( ~ accept_leader(countryccivilorganization,A)
| accept_team(countryccivilorganization,A,cityb,n3) ),
inference(resolve,[status(thm)],[c_679,c_779]) ).
cnf(c_10427,plain,
( ~ accept_number(countryccivilorganization,A)
| accept_team(countryccivilorganization,countrybhumanitarianorganization,cityb,A) ),
inference(resolve,[status(thm)],[c_782,c_779]) ).
cnf(c_10493,plain,
accept_team(countryccivilorganization,countrybhumanitarianorganization,cityb,n3),
inference(resolve,[status(thm)],[c_10219,c_778]) ).
cnf(c_11147,plain,
( ~ accept_number(christiansufferterrahumanitarianorganization,A)
| accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,A) ),
inference(resolve,[status(thm)],[c_1045,c_1253]) ).
cnf(c_11871,plain,
( n3 = n5
| accept_number(countryccivilorganization,n5)
| accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3) ),
inference(resolve,[status(thm)],[c_11147,c_2813]) ).
cnf(c_11813,negated_conjecture,
( n3 = n5
| accept_number(countryccivilorganization,n5) ),
inference(resolve,[status(thm)],[c_662,c_11871]) ).
cnf(c_11872,plain,
( accept_team(countryccivilorganization,countrybhumanitarianorganization,cityb,n5)
| n3 = n5 ),
inference(resolve,[status(thm)],[c_11813,c_10427]) ).
cnf(c_11820,plain,
n3 = n5,
inference(resolve,[status(thm)],[c_550,c_11872]) ).
cnf(c_11873,plain,
accept_team(countryccivilorganization,countrybhumanitarianorganization,cityb,n5),
inference(paramod,[status(thm)],[c_11820,c_10493]) ).
cnf(c_11869,plain,
$false,
inference(resolve,[status(thm)],[c_550,c_11873]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT005+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.58 % Computer : n014.cluster.edu
% 0.10/5.58 % Model : x86_64 x86_64
% 0.10/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.58 % Memory : 8046.5625MB
% 0.10/5.58 % OS : Linux 6.8.0-71-generic
% 0.10/5.58 % CPULimit : 300
% 0.10/5.58 % WCLimit : 300
% 0.10/5.58 % DateTime : Sat Sep 26 20:51:23 UTC 2026
% 0.10/5.59 % CPUTime :
% 0.10/5.59 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/5.59 % Process 4079333 was started by sandbox2 on n014,
% 0.10/5.59 % Sat Sep 26 20:51:23 2026
% 0.10/5.59 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.14/5.61
% 0.14/5.61 % From the command line: assign(max_seconds, 300).
% 0.14/5.61
% 0.14/5.61 % SInE: 252 to sos, 303 to usable, of 555 axioms (tolerance 2.00, depth 0 fixpoint).
% 14.71/7.86
% 14.71/7.86 % given #500 (F,wt=110): 626 -accept_team(countryccivilorganization,countrycmedicalorganization,towna,n6) # tptp_name(event_219) # sine_depth(2) # clausal_fof(1). [assumption].
% 14.71/7.86
% 14.71/7.86 % given #1000 (T,wt=14): 1423 accept_number(countrycmedicalorganization,A) | less(n5,A) | n5 = A. [resolve(1350,a,405,b),flip(c)].
% 14.71/7.86
% 14.71/7.86 % given #1500 (A,wt=16): 670 accept_team(muslimcountrybhumanitarianorganization,A,B,n3) | -accept_city(muslimcountrybhumanitarianorganization,B) | -accept_leader(muslimcountrybhumanitarianorganization,A). [resolve(505,a,37,d)].
% 14.71/7.86
% 14.71/7.86 % given #2000 (T,wt=11): 10934 n3 = n5 | accept_number(countryahumanitarianorganization,n3). [resolve(10427,b,2791,a),unit_del(a,550)].
% 14.71/7.86
% 14.71/7.86 % given #2500 (W,wt=13): 10949 n4 = n5 | accept_team(countryafirstaidorganization,countryacivilorganization,cityb,n4). [resolve(10927,a,10384,b)].
% 14.71/7.86
% 14.71/7.86 % SZS status Theorem for theBenchmark
% 14.71/7.86
% 14.71/7.86 % Proof 1 at 1.44 (+ 0.55) seconds.
% 14.71/7.86 % Length of proof is 36.
% 14.71/7.86 % Level of proof is 7.
% 14.71/7.86 % Maximum clause weight is 110.000.
% 14.71/7.86 % Given clauses 2653.
% 14.71/7.86
% 14.71/7.86 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------