%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : PLA009-2 : 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 : 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 : Thu Sep 24 08:54:02 AM UTC 2026
% Result : Unsatisfiable 1.13s 1.69s
% Output : Proof 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 24
% Syntax : Number of clauses : 96 ( 71 unt; 0 nHn; 94 RR)
% Number of literals : 147 ( 0 equ; 53 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 : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 25 ( 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_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(symmetry_of_differ,axiom,
( ~ differ(Y,X)
| differ(X,Y) ),
file('PLA001-1.ax',symmetry_of_differ) ).
cnf(differ_a_b,axiom,
differ(a,b),
file('PLA001-1.ax',differ_a_b) ).
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_b_c,axiom,
differ(b,c),
file('PLA001-1.ax',differ_b_c) ).
cnf(differ_b_d,axiom,
differ(b,d),
file('PLA001-1.ax',differ_b_d) ).
cnf(differ_b_table,axiom,
differ(b,table),
file('PLA001-1.ax',differ_b_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_state6,axiom,
holds(clear(b),s0),
file('PLA001-1.ax',initial_state6) ).
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_D_AB,negated_conjecture,
~ holds(and(clear(d),on(a,b)),State),
file('theBenchmark.p',prove_D_AB) ).
cnf(t1,plain,
~ holds(and(clear(d),on(a,b)),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),
inference(start,[status(thm),parent(0:0)],[prove_D_AB]) ).
cnf(t2,plain,
( ~ holds(clear(d),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))
| ~ holds(on(a,b),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))
| holds(and(clear(d),on(a,b)),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),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(holding(a),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))
| ~ holds(clear(b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))
| holds(on(a,b),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))) ),
inference(extension,[status(thm),parent(t2:2)],[putdown_2]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ holds(clear(b),do(putdown(c,table),do(pickup(c),s0)))
| ~ differ(b,a)
| holds(clear(b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))) ),
inference(extension,[status(thm),parent(t4:2)],[pickup_4]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ differ(a,b)
| differ(b,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,b),
inference(extension,[status(thm),parent(t8:2)],[differ_a_b]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ holds(clear(b),do(pickup(c),s0))
| ~ differ(b,table)
| holds(clear(b),do(putdown(c,table),do(pickup(c),s0))) ),
inference(extension,[status(thm),parent(t6:3)],[putdown_5]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:3]) ).
cnf(t14,plain,
differ(b,table),
inference(extension,[status(thm),parent(t12:2)],[differ_b_table]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( ~ holds(clear(b),s0)
| ~ differ(b,c)
| holds(clear(b),do(pickup(c),s0)) ),
inference(extension,[status(thm),parent(t12:3)],[pickup_4]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).
cnf(t18,plain,
differ(b,c),
inference(extension,[status(thm),parent(t16:2)],[differ_b_c]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
holds(clear(b),s0),
inference(extension,[status(thm),parent(t16:3)],[initial_state6]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t16:3]) ).
cnf(t22,plain,
( ~ holds(empty,do(putdown(c,table),do(pickup(c),s0)))
| ~ holds(clear(a),do(putdown(c,table),do(pickup(c),s0)))
| ~ differ(a,table)
| holds(holding(a),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))) ),
inference(extension,[status(thm),parent(t4:3)],[pickup_1]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t4:3]) ).
cnf(t24,plain,
differ(a,table),
inference(extension,[status(thm),parent(t22:2)],[differ_a_table]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(l12,lemma,
differ(a,table),
inference(lemma,[status(cth),parent(t22:2),below(t4:3)],[t22:2]) ).
cnf(t26,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(t22:3)],[putdown_5]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t22:3]) ).
cnf(t28,plain,
differ(a,table),
inference(lemma_extension,[status(thm),parent(t26:2)],[l12:1]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
( ~ holds(clear(a),s0)
| ~ differ(a,c)
| holds(clear(a),do(pickup(c),s0)) ),
inference(extension,[status(thm),parent(t26:3)],[pickup_4]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t26:3]) ).
cnf(t32,plain,
differ(a,c),
inference(extension,[status(thm),parent(t30:2)],[differ_a_c]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
holds(clear(a),s0),
inference(extension,[status(thm),parent(t30:3)],[initial_state5]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t30:3]) ).
cnf(t36,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(t22:4)],[putdown_1]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t22:4]) ).
cnf(t38,plain,
holds(clear(table),do(pickup(c),s0)),
inference(extension,[status(thm),parent(t36:2)],[clear_table]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
( ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| ~ differ(c,table)
| holds(holding(c),do(pickup(c),s0)) ),
inference(extension,[status(thm),parent(t36:3)],[pickup_1]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t36:3]) ).
cnf(t42,plain,
differ(c,table),
inference(extension,[status(thm),parent(t40:2)],[differ_c_table]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
holds(clear(c),s0),
inference(extension,[status(thm),parent(t40:3)],[initial_state7]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t40:3]) ).
cnf(t46,plain,
holds(empty,s0),
inference(extension,[status(thm),parent(t40:4)],[initial_state8]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t40:4]) ).
cnf(t48,plain,
( ~ holds(clear(d),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))
| ~ differ(d,b)
| holds(clear(d),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))) ),
inference(extension,[status(thm),parent(t2:3)],[putdown_5]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t2:3]) ).
cnf(t50,plain,
( ~ differ(b,d)
| differ(d,b) ),
inference(extension,[status(thm),parent(t48:2)],[symmetry_of_differ]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t48:2]) ).
cnf(t52,plain,
differ(b,d),
inference(extension,[status(thm),parent(t50:2)],[differ_b_d]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t50:2]) ).
cnf(t54,plain,
( ~ holds(clear(d),do(putdown(c,table),do(pickup(c),s0)))
| ~ differ(d,a)
| holds(clear(d),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))) ),
inference(extension,[status(thm),parent(t48:3)],[pickup_4]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t48:3]) ).
cnf(t56,plain,
( ~ differ(a,d)
| differ(d,a) ),
inference(extension,[status(thm),parent(t54:2)],[symmetry_of_differ]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t54:2]) ).
cnf(t58,plain,
differ(a,d),
inference(extension,[status(thm),parent(t56:2)],[differ_a_d]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t56:2]) ).
cnf(t60,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(t54:3)],[putdown_5]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t54:3]) ).
cnf(t62,plain,
differ(d,table),
inference(extension,[status(thm),parent(t60:2)],[differ_d_table]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t60:2]) ).
cnf(t64,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(t60:3)],[pickup_2]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t60:3]) ).
cnf(t66,plain,
holds(empty,s0),
inference(extension,[status(thm),parent(t64:2)],[initial_state8]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t64:2]) ).
cnf(t68,plain,
holds(clear(c),s0),
inference(extension,[status(thm),parent(t64:3)],[initial_state7]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t64:3]) ).
cnf(t70,plain,
holds(on(c,d),s0),
inference(extension,[status(thm),parent(t64:4)],[initial_state3]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t64:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA009-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.58 % Computer : n014.cluster.edu
% 0.09/0.58 % Model : x86_64 x86_64
% 0.09/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.58 % Memory : 8046.5625MB
% 0.09/0.58 % OS : Linux 6.8.0-71-generic
% 0.09/0.58 % CPULimit : 300
% 0.09/0.58 % WCLimit : 300
% 0.09/0.58 % DateTime : Sat Sep 19 19:39:51 UTC 2026
% 0.09/0.58 % CPUTime :
% 1.13/1.69 % SZS status Unsatisfiable for theBenchmark
% 1.13/1.69 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------