%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : PLA015-1 : 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 : n010.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 18.05s 18.35s
% Output : Proof 18.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 27
% Syntax : Number of clauses : 210 ( 157 unt; 0 nHn; 207 RR)
% Number of literals : 320 ( 0 equ; 112 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 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 : 37 ( 5 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_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_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_3,axiom,
( ~ holds(clear(Y),State)
| ~ holds(holding(X),State)
| holds(clear(X),do(putdown(X,Y),State)) ),
file('PLA001-0.ax',putdown_3) ).
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(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_ABD,negated_conjecture,
~ holds(and(on(a,b),on(b,d)),State),
file('theBenchmark.p',prove_ABD) ).
cnf(t1,plain,
~ holds(and(on(a,b),on(b,d)),do(putdown(a,b),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))))),
inference(start,[status(thm),parent(0:0)],[prove_ABD]) ).
cnf(t2,plain,
( ~ holds(on(a,b),do(putdown(a,b),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))))))
| ~ holds(on(b,d),do(putdown(a,b),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))))))
| holds(and(on(a,b),on(b,d)),do(putdown(a,b),do(pickup(a),do(putdown(b,d),do(pickup(b),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(on(b,d),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))))
| holds(on(b,d),do(putdown(a,b),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),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(b,d),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))))
| ~ differ(b,a)
| holds(on(b,d),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),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,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(holding(b),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))
| ~ holds(clear(d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))
| holds(on(b,d),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))) ),
inference(extension,[status(thm),parent(t6:3)],[putdown_2]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:3]) ).
cnf(t14,plain,
( ~ holds(clear(d),do(putdown(c,table),do(pickup(c),s0)))
| ~ differ(d,b)
| holds(clear(d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))) ),
inference(extension,[status(thm),parent(t12:2)],[pickup_4]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( ~ differ(b,d)
| differ(d,b) ),
inference(extension,[status(thm),parent(t14:2)],[symmetry_of_differ]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
differ(b,d),
inference(extension,[status(thm),parent(t16:2)],[differ_b_d]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,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(t14:3)],[putdown_5]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t14:3]) ).
cnf(t22,plain,
differ(d,table),
inference(extension,[status(thm),parent(t20:2)],[differ_d_table]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,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(t20:3)],[pickup_2]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t20:3]) ).
cnf(t26,plain,
holds(empty,s0),
inference(extension,[status(thm),parent(t24:2)],[initial_state8]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
holds(clear(c),s0),
inference(extension,[status(thm),parent(t24:3)],[initial_state7]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t24:3]) ).
cnf(t30,plain,
holds(on(c,d),s0),
inference(extension,[status(thm),parent(t24:4)],[initial_state3]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t24:4]) ).
cnf(t32,plain,
( ~ holds(empty,do(putdown(c,table),do(pickup(c),s0)))
| ~ holds(clear(b),do(putdown(c,table),do(pickup(c),s0)))
| ~ differ(b,table)
| holds(holding(b),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))) ),
inference(extension,[status(thm),parent(t12:3)],[pickup_1]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t12:3]) ).
cnf(t34,plain,
differ(b,table),
inference(extension,[status(thm),parent(t32:2)],[differ_b_table]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(l17,lemma,
differ(b,table),
inference(lemma,[status(cth),parent(t32:2),below(t12:3)],[t32:2]) ).
cnf(t36,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(t32:3)],[putdown_5]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t32:3]) ).
cnf(t38,plain,
differ(b,table),
inference(lemma_extension,[status(thm),parent(t36:2)],[l17:1]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
( ~ holds(clear(b),s0)
| ~ differ(b,c)
| holds(clear(b),do(pickup(c),s0)) ),
inference(extension,[status(thm),parent(t36:3)],[pickup_4]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t36:3]) ).
cnf(t42,plain,
differ(b,c),
inference(extension,[status(thm),parent(t40:2)],[differ_b_c]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
holds(clear(b),s0),
inference(extension,[status(thm),parent(t40:3)],[initial_state6]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t40:3]) ).
cnf(t46,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(t32:4)],[putdown_1]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t32:4]) ).
cnf(t48,plain,
holds(clear(table),do(pickup(c),s0)),
inference(extension,[status(thm),parent(t46:2)],[clear_table]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t46:2]) ).
cnf(t50,plain,
( ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| ~ differ(c,table)
| holds(holding(c),do(pickup(c),s0)) ),
inference(extension,[status(thm),parent(t46:3)],[pickup_1]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t46:3]) ).
cnf(t52,plain,
differ(c,table),
inference(extension,[status(thm),parent(t50:2)],[differ_c_table]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t50:2]) ).
cnf(t54,plain,
holds(clear(c),s0),
inference(extension,[status(thm),parent(t50:3)],[initial_state7]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t50:3]) ).
cnf(t56,plain,
holds(empty,s0),
inference(extension,[status(thm),parent(t50:4)],[initial_state8]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t50:4]) ).
cnf(t58,plain,
( ~ holds(holding(a),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))))
| ~ holds(clear(b),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))))
| holds(on(a,b),do(putdown(a,b),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))))) ),
inference(extension,[status(thm),parent(t2:3)],[putdown_2]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t2:3]) ).
cnf(t60,plain,
( ~ holds(clear(b),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))))
| ~ differ(b,a)
| holds(clear(b),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))))) ),
inference(extension,[status(thm),parent(t58:2)],[pickup_4]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t58:2]) ).
cnf(t62,plain,
( ~ differ(a,b)
| differ(b,a) ),
inference(extension,[status(thm),parent(t60:2)],[symmetry_of_differ]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t60:2]) ).
cnf(t64,plain,
differ(a,b),
inference(extension,[status(thm),parent(t62:2)],[differ_a_b]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t62:2]) ).
cnf(t66,plain,
( ~ holds(holding(b),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))
| ~ holds(clear(d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))
| holds(clear(b),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))) ),
inference(extension,[status(thm),parent(t60:3)],[putdown_3]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t60:3]) ).
cnf(t68,plain,
( ~ holds(clear(d),do(putdown(c,table),do(pickup(c),s0)))
| ~ differ(d,b)
| holds(clear(d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))) ),
inference(extension,[status(thm),parent(t66:2)],[pickup_4]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t66:2]) ).
cnf(t70,plain,
( ~ differ(b,d)
| differ(d,b) ),
inference(extension,[status(thm),parent(t68:2)],[symmetry_of_differ]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t68:2]) ).
cnf(t72,plain,
differ(b,d),
inference(extension,[status(thm),parent(t70:2)],[differ_b_d]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t70:2]) ).
cnf(t74,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(t68:3)],[putdown_5]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t68:3]) ).
cnf(t76,plain,
differ(d,table),
inference(extension,[status(thm),parent(t74:2)],[differ_d_table]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t74:2]) ).
cnf(t78,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(t74:3)],[pickup_2]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t74:3]) ).
cnf(t80,plain,
holds(empty,s0),
inference(extension,[status(thm),parent(t78:2)],[initial_state8]) ).
cnf(t81,plain,
$false,
inference(connection,[status(thm),parent(t80:1)],[t80:1,t78:2]) ).
cnf(t82,plain,
holds(clear(c),s0),
inference(extension,[status(thm),parent(t78:3)],[initial_state7]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t78:3]) ).
cnf(t84,plain,
holds(on(c,d),s0),
inference(extension,[status(thm),parent(t78:4)],[initial_state3]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t78:4]) ).
cnf(t86,plain,
( ~ holds(empty,do(putdown(c,table),do(pickup(c),s0)))
| ~ holds(clear(b),do(putdown(c,table),do(pickup(c),s0)))
| ~ differ(b,table)
| holds(holding(b),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))) ),
inference(extension,[status(thm),parent(t66:3)],[pickup_1]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t66:3]) ).
cnf(t88,plain,
differ(b,table),
inference(extension,[status(thm),parent(t86:2)],[differ_b_table]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t86:2]) ).
cnf(l43,lemma,
differ(b,table),
inference(lemma,[status(cth),parent(t86:2),below(t66:3)],[t86:2]) ).
cnf(t90,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(t86:3)],[putdown_5]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t86:3]) ).
cnf(t92,plain,
differ(b,table),
inference(lemma_extension,[status(thm),parent(t90:2)],[l43:1]) ).
cnf(t93,plain,
$false,
inference(connection,[status(thm),parent(t92:1)],[t92:1,t90:2]) ).
cnf(t94,plain,
( ~ holds(clear(b),s0)
| ~ differ(b,c)
| holds(clear(b),do(pickup(c),s0)) ),
inference(extension,[status(thm),parent(t90:3)],[pickup_4]) ).
cnf(t95,plain,
$false,
inference(connection,[status(thm),parent(t94:1)],[t94:1,t90:3]) ).
cnf(t96,plain,
differ(b,c),
inference(extension,[status(thm),parent(t94:2)],[differ_b_c]) ).
cnf(t97,plain,
$false,
inference(connection,[status(thm),parent(t96:1)],[t96:1,t94:2]) ).
cnf(t98,plain,
holds(clear(b),s0),
inference(extension,[status(thm),parent(t94:3)],[initial_state6]) ).
cnf(t99,plain,
$false,
inference(connection,[status(thm),parent(t98:1)],[t98:1,t94:3]) ).
cnf(t100,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(t86:4)],[putdown_1]) ).
cnf(t101,plain,
$false,
inference(connection,[status(thm),parent(t100:1)],[t100:1,t86:4]) ).
cnf(t102,plain,
holds(clear(table),do(pickup(c),s0)),
inference(extension,[status(thm),parent(t100:2)],[clear_table]) ).
cnf(t103,plain,
$false,
inference(connection,[status(thm),parent(t102:1)],[t102:1,t100:2]) ).
cnf(t104,plain,
( ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| ~ differ(c,table)
| holds(holding(c),do(pickup(c),s0)) ),
inference(extension,[status(thm),parent(t100:3)],[pickup_1]) ).
cnf(t105,plain,
$false,
inference(connection,[status(thm),parent(t104:1)],[t104:1,t100:3]) ).
cnf(t106,plain,
differ(c,table),
inference(extension,[status(thm),parent(t104:2)],[differ_c_table]) ).
cnf(t107,plain,
$false,
inference(connection,[status(thm),parent(t106:1)],[t106:1,t104:2]) ).
cnf(t108,plain,
holds(clear(c),s0),
inference(extension,[status(thm),parent(t104:3)],[initial_state7]) ).
cnf(t109,plain,
$false,
inference(connection,[status(thm),parent(t108:1)],[t108:1,t104:3]) ).
cnf(t110,plain,
holds(empty,s0),
inference(extension,[status(thm),parent(t104:4)],[initial_state8]) ).
cnf(t111,plain,
$false,
inference(connection,[status(thm),parent(t110:1)],[t110:1,t104:4]) ).
cnf(t112,plain,
( ~ holds(empty,do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))))
| ~ holds(clear(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))))
| ~ differ(a,table)
| holds(holding(a),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))))) ),
inference(extension,[status(thm),parent(t58:3)],[pickup_1]) ).
cnf(t113,plain,
$false,
inference(connection,[status(thm),parent(t112:1)],[t112:1,t58:3]) ).
cnf(t114,plain,
differ(a,table),
inference(extension,[status(thm),parent(t112:2)],[differ_a_table]) ).
cnf(t115,plain,
$false,
inference(connection,[status(thm),parent(t114:1)],[t114:1,t112:2]) ).
cnf(l55,lemma,
differ(a,table),
inference(lemma,[status(cth),parent(t112:2),below(t58:3)],[t112:2]) ).
cnf(t116,plain,
( ~ holds(clear(a),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))
| ~ differ(a,d)
| holds(clear(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))) ),
inference(extension,[status(thm),parent(t112:3)],[putdown_5]) ).
cnf(t117,plain,
$false,
inference(connection,[status(thm),parent(t116:1)],[t116:1,t112:3]) ).
cnf(t118,plain,
differ(a,d),
inference(extension,[status(thm),parent(t116:2)],[differ_a_d]) ).
cnf(t119,plain,
$false,
inference(connection,[status(thm),parent(t118:1)],[t118:1,t116:2]) ).
cnf(t120,plain,
( ~ holds(clear(a),do(putdown(c,table),do(pickup(c),s0)))
| ~ differ(a,b)
| holds(clear(a),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))) ),
inference(extension,[status(thm),parent(t116:3)],[pickup_4]) ).
cnf(t121,plain,
$false,
inference(connection,[status(thm),parent(t120:1)],[t120:1,t116:3]) ).
cnf(t122,plain,
differ(a,b),
inference(extension,[status(thm),parent(t120:2)],[differ_a_b]) ).
cnf(t123,plain,
$false,
inference(connection,[status(thm),parent(t122:1)],[t122:1,t120:2]) ).
cnf(t124,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(t120:3)],[putdown_5]) ).
cnf(t125,plain,
$false,
inference(connection,[status(thm),parent(t124:1)],[t124:1,t120:3]) ).
cnf(t126,plain,
differ(a,table),
inference(lemma_extension,[status(thm),parent(t124:2)],[l55:1]) ).
cnf(t127,plain,
$false,
inference(connection,[status(thm),parent(t126:1)],[t126:1,t124:2]) ).
cnf(t128,plain,
( ~ holds(clear(a),s0)
| ~ differ(a,c)
| holds(clear(a),do(pickup(c),s0)) ),
inference(extension,[status(thm),parent(t124:3)],[pickup_4]) ).
cnf(t129,plain,
$false,
inference(connection,[status(thm),parent(t128:1)],[t128:1,t124:3]) ).
cnf(t130,plain,
differ(a,c),
inference(extension,[status(thm),parent(t128:2)],[differ_a_c]) ).
cnf(t131,plain,
$false,
inference(connection,[status(thm),parent(t130:1)],[t130:1,t128:2]) ).
cnf(t132,plain,
holds(clear(a),s0),
inference(extension,[status(thm),parent(t128:3)],[initial_state5]) ).
cnf(t133,plain,
$false,
inference(connection,[status(thm),parent(t132:1)],[t132:1,t128:3]) ).
cnf(t134,plain,
( ~ holds(holding(b),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))
| ~ holds(clear(d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))
| holds(empty,do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))) ),
inference(extension,[status(thm),parent(t112:4)],[putdown_1]) ).
cnf(t135,plain,
$false,
inference(connection,[status(thm),parent(t134:1)],[t134:1,t112:4]) ).
cnf(t136,plain,
( ~ holds(clear(d),do(putdown(c,table),do(pickup(c),s0)))
| ~ differ(d,b)
| holds(clear(d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))) ),
inference(extension,[status(thm),parent(t134:2)],[pickup_4]) ).
cnf(t137,plain,
$false,
inference(connection,[status(thm),parent(t136:1)],[t136:1,t134:2]) ).
cnf(t138,plain,
( ~ differ(b,d)
| differ(d,b) ),
inference(extension,[status(thm),parent(t136:2)],[symmetry_of_differ]) ).
cnf(t139,plain,
$false,
inference(connection,[status(thm),parent(t138:1)],[t138:1,t136:2]) ).
cnf(t140,plain,
differ(b,d),
inference(extension,[status(thm),parent(t138:2)],[differ_b_d]) ).
cnf(t141,plain,
$false,
inference(connection,[status(thm),parent(t140:1)],[t140:1,t138:2]) ).
cnf(t142,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(t136:3)],[putdown_5]) ).
cnf(t143,plain,
$false,
inference(connection,[status(thm),parent(t142:1)],[t142:1,t136:3]) ).
cnf(t144,plain,
differ(d,table),
inference(extension,[status(thm),parent(t142:2)],[differ_d_table]) ).
cnf(t145,plain,
$false,
inference(connection,[status(thm),parent(t144:1)],[t144:1,t142:2]) ).
cnf(t146,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(t142:3)],[pickup_2]) ).
cnf(t147,plain,
$false,
inference(connection,[status(thm),parent(t146:1)],[t146:1,t142:3]) ).
cnf(t148,plain,
holds(empty,s0),
inference(extension,[status(thm),parent(t146:2)],[initial_state8]) ).
cnf(t149,plain,
$false,
inference(connection,[status(thm),parent(t148:1)],[t148:1,t146:2]) ).
cnf(t150,plain,
holds(clear(c),s0),
inference(extension,[status(thm),parent(t146:3)],[initial_state7]) ).
cnf(t151,plain,
$false,
inference(connection,[status(thm),parent(t150:1)],[t150:1,t146:3]) ).
cnf(t152,plain,
holds(on(c,d),s0),
inference(extension,[status(thm),parent(t146:4)],[initial_state3]) ).
cnf(t153,plain,
$false,
inference(connection,[status(thm),parent(t152:1)],[t152:1,t146:4]) ).
cnf(t154,plain,
( ~ holds(empty,do(putdown(c,table),do(pickup(c),s0)))
| ~ holds(clear(b),do(putdown(c,table),do(pickup(c),s0)))
| ~ differ(b,table)
| holds(holding(b),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))) ),
inference(extension,[status(thm),parent(t134:3)],[pickup_1]) ).
cnf(t155,plain,
$false,
inference(connection,[status(thm),parent(t154:1)],[t154:1,t134:3]) ).
cnf(t156,plain,
differ(b,table),
inference(extension,[status(thm),parent(t154:2)],[differ_b_table]) ).
cnf(t157,plain,
$false,
inference(connection,[status(thm),parent(t156:1)],[t156:1,t154:2]) ).
cnf(l75,lemma,
differ(b,table),
inference(lemma,[status(cth),parent(t154:2),below(t134:3)],[t154:2]) ).
cnf(t158,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(t154:3)],[putdown_5]) ).
cnf(t159,plain,
$false,
inference(connection,[status(thm),parent(t158:1)],[t158:1,t154:3]) ).
cnf(t160,plain,
differ(b,table),
inference(lemma_extension,[status(thm),parent(t158:2)],[l75:1]) ).
cnf(t161,plain,
$false,
inference(connection,[status(thm),parent(t160:1)],[t160:1,t158:2]) ).
cnf(t162,plain,
( ~ holds(clear(b),s0)
| ~ differ(b,c)
| holds(clear(b),do(pickup(c),s0)) ),
inference(extension,[status(thm),parent(t158:3)],[pickup_4]) ).
cnf(t163,plain,
$false,
inference(connection,[status(thm),parent(t162:1)],[t162:1,t158:3]) ).
cnf(t164,plain,
differ(b,c),
inference(extension,[status(thm),parent(t162:2)],[differ_b_c]) ).
cnf(t165,plain,
$false,
inference(connection,[status(thm),parent(t164:1)],[t164:1,t162:2]) ).
cnf(t166,plain,
holds(clear(b),s0),
inference(extension,[status(thm),parent(t162:3)],[initial_state6]) ).
cnf(t167,plain,
$false,
inference(connection,[status(thm),parent(t166:1)],[t166:1,t162:3]) ).
cnf(t168,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(t154:4)],[putdown_1]) ).
cnf(t169,plain,
$false,
inference(connection,[status(thm),parent(t168:1)],[t168:1,t154:4]) ).
cnf(t170,plain,
holds(clear(table),do(pickup(c),s0)),
inference(extension,[status(thm),parent(t168:2)],[clear_table]) ).
cnf(t171,plain,
$false,
inference(connection,[status(thm),parent(t170:1)],[t170:1,t168:2]) ).
cnf(t172,plain,
( ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| ~ differ(c,table)
| holds(holding(c),do(pickup(c),s0)) ),
inference(extension,[status(thm),parent(t168:3)],[pickup_1]) ).
cnf(t173,plain,
$false,
inference(connection,[status(thm),parent(t172:1)],[t172:1,t168:3]) ).
cnf(t174,plain,
differ(c,table),
inference(extension,[status(thm),parent(t172:2)],[differ_c_table]) ).
cnf(t175,plain,
$false,
inference(connection,[status(thm),parent(t174:1)],[t174:1,t172:2]) ).
cnf(t176,plain,
holds(clear(c),s0),
inference(extension,[status(thm),parent(t172:3)],[initial_state7]) ).
cnf(t177,plain,
$false,
inference(connection,[status(thm),parent(t176:1)],[t176:1,t172:3]) ).
cnf(t178,plain,
holds(empty,s0),
inference(extension,[status(thm),parent(t172:4)],[initial_state8]) ).
cnf(t179,plain,
$false,
inference(connection,[status(thm),parent(t178:1)],[t178:1,t172:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA015-1 : 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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n010.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 19 19:40:46 UTC 2026
% 0.08/0.35 % CPUTime :
% 18.05/18.35 % SZS status Unsatisfiable for theBenchmark
% 18.05/18.35 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------