%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : PLA022-2 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 : Thu Sep 24 08:54:04 AM UTC 2026
% Result : Unsatisfiable 0.23s 0.47s
% Output : Proof 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 14
% Syntax : Number of clauses : 45 ( 30 unt; 0 nHn; 44 RR)
% Number of literals : 72 ( 0 equ; 29 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 23 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(and_definition,axiom,
( ~ holds(Y,State)
| ~ holds(X,State)
| holds(and(X,Y),State) ),
file('PLA001-0.ax',and_definition) ).
cnf(pickup_1,axiom,
( ~ differ(X,table)
| ~ holds(clear(X),State)
| ~ holds(empty,State)
| holds(holding(X),do(pickup(X),State)) ),
file('PLA001-0.ax',pickup_1) ).
cnf(pickup_3,axiom,
( ~ differ(X,Z)
| ~ holds(on(X,Y),State)
| holds(on(X,Y),do(pickup(Z),State)) ),
file('PLA001-0.ax',pickup_3) ).
cnf(pickup_4,axiom,
( ~ differ(X,Z)
| ~ holds(clear(X),State)
| holds(clear(X),do(pickup(Z),State)) ),
file('PLA001-0.ax',pickup_4) ).
cnf(putdown_2,axiom,
( ~ holds(clear(Y),State)
| ~ holds(holding(X),State)
| holds(on(X,Y),do(putdown(X,Y),State)) ),
file('PLA001-0.ax',putdown_2) ).
cnf(putdown_4,axiom,
( ~ holds(on(X,Y),State)
| holds(on(X,Y),do(putdown(Z,W),State)) ),
file('PLA001-0.ax',putdown_4) ).
cnf(symmetry_of_differ,axiom,
( ~ differ(Y,X)
| differ(X,Y) ),
file('PLA001-1.ax',symmetry_of_differ) ).
cnf(differ_a_c,axiom,
differ(a,c),
file('PLA001-1.ax',differ_a_c) ).
cnf(differ_a_table,axiom,
differ(a,table),
file('PLA001-1.ax',differ_a_table) ).
cnf(initial_state3,axiom,
holds(on(c,d),s0),
file('PLA001-1.ax',initial_state3) ).
cnf(initial_state5,axiom,
holds(clear(a),s0),
file('PLA001-1.ax',initial_state5) ).
cnf(initial_state7,axiom,
holds(clear(c),s0),
file('PLA001-1.ax',initial_state7) ).
cnf(initial_state8,axiom,
holds(empty,s0),
file('PLA001-1.ax',initial_state8) ).
cnf(prove_ACD,negated_conjecture,
~ holds(and(on(a,c),on(c,d)),State),
file('theBenchmark.p',prove_ACD) ).
cnf(t1,plain,
~ holds(and(on(a,c),on(c,d)),do(putdown(a,c),do(pickup(a),s0))),
inference(start,[status(thm),parent(0:0)],[prove_ACD]) ).
cnf(t2,plain,
( ~ holds(on(a,c),do(putdown(a,c),do(pickup(a),s0)))
| ~ holds(on(c,d),do(putdown(a,c),do(pickup(a),s0)))
| holds(and(on(a,c),on(c,d)),do(putdown(a,c),do(pickup(a),s0))) ),
inference(extension,[status(thm),parent(t1:1)],[and_definition]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ holds(on(c,d),do(pickup(a),s0))
| holds(on(c,d),do(putdown(a,c),do(pickup(a),s0))) ),
inference(extension,[status(thm),parent(t2:2)],[putdown_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ holds(on(c,d),s0)
| ~ differ(c,a)
| holds(on(c,d),do(pickup(a),s0)) ),
inference(extension,[status(thm),parent(t4:2)],[pickup_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ differ(a,c)
| differ(c,a) ),
inference(extension,[status(thm),parent(t6:2)],[symmetry_of_differ]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
differ(a,c),
inference(extension,[status(thm),parent(t8:2)],[differ_a_c]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
holds(on(c,d),s0),
inference(extension,[status(thm),parent(t6:3)],[initial_state3]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:3]) ).
cnf(t14,plain,
( ~ holds(holding(a),do(pickup(a),s0))
| ~ holds(clear(c),do(pickup(a),s0))
| holds(on(a,c),do(putdown(a,c),do(pickup(a),s0))) ),
inference(extension,[status(thm),parent(t2:3)],[putdown_2]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t2:3]) ).
cnf(t16,plain,
( ~ holds(clear(c),s0)
| ~ differ(c,a)
| holds(clear(c),do(pickup(a),s0)) ),
inference(extension,[status(thm),parent(t14:2)],[pickup_4]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
( ~ differ(a,c)
| differ(c,a) ),
inference(extension,[status(thm),parent(t16:2)],[symmetry_of_differ]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
differ(a,c),
inference(extension,[status(thm),parent(t18:2)],[differ_a_c]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
holds(clear(c),s0),
inference(extension,[status(thm),parent(t16:3)],[initial_state7]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t16:3]) ).
cnf(t24,plain,
( ~ holds(empty,s0)
| ~ holds(clear(a),s0)
| ~ differ(a,table)
| holds(holding(a),do(pickup(a),s0)) ),
inference(extension,[status(thm),parent(t14:3)],[pickup_1]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t14:3]) ).
cnf(t26,plain,
differ(a,table),
inference(extension,[status(thm),parent(t24:2)],[differ_a_table]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
holds(clear(a),s0),
inference(extension,[status(thm),parent(t24:3)],[initial_state5]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t24:3]) ).
cnf(t30,plain,
holds(empty,s0),
inference(extension,[status(thm),parent(t24:4)],[initial_state8]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t24:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA022-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 19 19:44:03 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.23/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.47 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------