%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : PLA016-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 08:54:03 AM UTC 2026
% Result : Unsatisfiable 0.36s 0.67s
% Output : Proof 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 17
% Syntax : Number of clauses : 63 ( 48 unt; 0 nHn; 61 RR)
% Number of literals : 98 ( 0 equ; 37 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 20 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
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_2,axiom,
( ~ holds(empty,State)
| ~ holds(clear(X),State)
| ~ holds(on(X,Y),State)
| holds(clear(Y),do(pickup(X),State)) ),
file('PLA001-0.ax',pickup_2) ).
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_1,axiom,
( ~ holds(clear(Y),State)
| ~ holds(holding(X),State)
| holds(empty,do(putdown(X,Y),State)) ),
file('PLA001-0.ax',putdown_1) ).
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_5,axiom,
( ~ differ(Z,Y)
| ~ holds(clear(Z),State)
| holds(clear(Z),do(putdown(X,Y),State)) ),
file('PLA001-0.ax',putdown_5) ).
cnf(differ_a_c,axiom,
differ(a,c),
file('PLA001-1.ax',differ_a_c) ).
cnf(differ_a_d,axiom,
differ(a,d),
file('PLA001-1.ax',differ_a_d) ).
cnf(differ_a_table,axiom,
differ(a,table),
file('PLA001-1.ax',differ_a_table) ).
cnf(differ_c_table,axiom,
differ(c,table),
file('PLA001-1.ax',differ_c_table) ).
cnf(differ_d_table,axiom,
differ(d,table),
file('PLA001-1.ax',differ_d_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(clear_table,axiom,
holds(clear(table),State),
file('PLA001-1.ax',clear_table) ).
cnf(prove_DA,negated_conjecture,
~ holds(on(d,a),State),
file('theBenchmark.p',prove_DA) ).
cnf(t1,plain,
~ holds(on(d,a),do(putdown(d,a),do(pickup(d),do(putdown(c,table),do(pickup(c),s0))))),
inference(start,[status(thm),parent(0:0)],[prove_DA]) ).
cnf(t2,plain,
( ~ holds(holding(d),do(pickup(d),do(putdown(c,table),do(pickup(c),s0))))
| ~ holds(clear(a),do(pickup(d),do(putdown(c,table),do(pickup(c),s0))))
| holds(on(d,a),do(putdown(d,a),do(pickup(d),do(putdown(c,table),do(pickup(c),s0))))) ),
inference(extension,[status(thm),parent(t1:1)],[putdown_2]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ holds(clear(a),do(putdown(c,table),do(pickup(c),s0)))
| ~ differ(a,d)
| holds(clear(a),do(pickup(d),do(putdown(c,table),do(pickup(c),s0)))) ),
inference(extension,[status(thm),parent(t2:2)],[pickup_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
differ(a,d),
inference(extension,[status(thm),parent(t4:2)],[differ_a_d]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ holds(clear(a),do(pickup(c),s0))
| ~ differ(a,table)
| holds(clear(a),do(putdown(c,table),do(pickup(c),s0))) ),
inference(extension,[status(thm),parent(t4:3)],[putdown_5]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
differ(a,table),
inference(extension,[status(thm),parent(t8:2)],[differ_a_table]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ holds(clear(a),s0)
| ~ differ(a,c)
| holds(clear(a),do(pickup(c),s0)) ),
inference(extension,[status(thm),parent(t8:3)],[pickup_4]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
cnf(t14,plain,
differ(a,c),
inference(extension,[status(thm),parent(t12:2)],[differ_a_c]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
holds(clear(a),s0),
inference(extension,[status(thm),parent(t12:3)],[initial_state5]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).
cnf(t18,plain,
( ~ holds(empty,do(putdown(c,table),do(pickup(c),s0)))
| ~ holds(clear(d),do(putdown(c,table),do(pickup(c),s0)))
| ~ differ(d,table)
| holds(holding(d),do(pickup(d),do(putdown(c,table),do(pickup(c),s0)))) ),
inference(extension,[status(thm),parent(t2:3)],[pickup_1]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t2:3]) ).
cnf(t20,plain,
differ(d,table),
inference(extension,[status(thm),parent(t18:2)],[differ_d_table]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(l10,lemma,
differ(d,table),
inference(lemma,[status(cth),parent(t18:2),below(t2:3)],[t18:2]) ).
cnf(t22,plain,
( ~ holds(clear(d),do(pickup(c),s0))
| ~ differ(d,table)
| holds(clear(d),do(putdown(c,table),do(pickup(c),s0))) ),
inference(extension,[status(thm),parent(t18:3)],[putdown_5]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t18:3]) ).
cnf(t24,plain,
differ(d,table),
inference(lemma_extension,[status(thm),parent(t22:2)],[l10:1]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
( ~ holds(on(c,d),s0)
| ~ holds(clear(c),s0)
| ~ holds(empty,s0)
| holds(clear(d),do(pickup(c),s0)) ),
inference(extension,[status(thm),parent(t22:3)],[pickup_2]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t22:3]) ).
cnf(t28,plain,
holds(empty,s0),
inference(extension,[status(thm),parent(t26:2)],[initial_state8]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
holds(clear(c),s0),
inference(extension,[status(thm),parent(t26:3)],[initial_state7]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t26:3]) ).
cnf(t32,plain,
holds(on(c,d),s0),
inference(extension,[status(thm),parent(t26:4)],[initial_state3]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t26:4]) ).
cnf(t34,plain,
( ~ holds(holding(c),do(pickup(c),s0))
| ~ holds(clear(table),do(pickup(c),s0))
| holds(empty,do(putdown(c,table),do(pickup(c),s0))) ),
inference(extension,[status(thm),parent(t18:4)],[putdown_1]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t18:4]) ).
cnf(t36,plain,
holds(clear(table),do(pickup(c),s0)),
inference(extension,[status(thm),parent(t34:2)],[clear_table]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
( ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| ~ differ(c,table)
| holds(holding(c),do(pickup(c),s0)) ),
inference(extension,[status(thm),parent(t34:3)],[pickup_1]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t34:3]) ).
cnf(t40,plain,
differ(c,table),
inference(extension,[status(thm),parent(t38:2)],[differ_c_table]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
holds(clear(c),s0),
inference(extension,[status(thm),parent(t38:3)],[initial_state7]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t38:3]) ).
cnf(t44,plain,
holds(empty,s0),
inference(extension,[status(thm),parent(t38:4)],[initial_state8]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t38:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : PLA016-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.02 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.00/0.02 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sat Sep 19 19:40:22 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.36/0.67 % SZS status Unsatisfiable for theBenchmark
% 0.36/0.67 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------