%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PLA022-2 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 08:20:07 AM UTC 2026
% Result : Unsatisfiable 12.29s 3.39s
% Output : CNFRefutation 12.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of clauses : 42 ( 17 unt; 0 nHn; 40 RR)
% Number of literals : 97 ( 0 equ; 69 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 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 : 58 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ACD,negated_conjecture,
~ holds(and(on(a,c),on(c,d)),X0) ).
cnf(and_definition,axiom,
( ~ holds(X1,X2)
| ~ holds(X0,X2)
| holds(and(X0,X1),X2) ) ).
cnf(pickup_1,axiom,
( ~ differ(X0,table)
| ~ holds(clear(X0),X1)
| ~ holds(empty,X1)
| holds(holding(X0),do(pickup(X0),X1)) ) ).
cnf(pickup_3,axiom,
( ~ differ(X0,X2)
| ~ holds(on(X0,X1),X3)
| holds(on(X0,X1),do(pickup(X2),X3)) ) ).
cnf(pickup_4,axiom,
( ~ differ(X0,X1)
| ~ holds(clear(X0),X2)
| holds(clear(X0),do(pickup(X1),X2)) ) ).
cnf(putdown_2,axiom,
( ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2)
| holds(on(X0,X1),do(putdown(X0,X1),X2)) ) ).
cnf(putdown_4,axiom,
( ~ holds(on(X0,X1),X4)
| holds(on(X0,X1),do(putdown(X2,X3),X4)) ) ).
cnf(symmetry_of_differ,axiom,
( ~ differ(X1,X0)
| differ(X0,X1) ) ).
cnf(differ_a_c,axiom,
differ(a,c) ).
cnf(differ_a_table,axiom,
differ(a,table) ).
cnf(initial_state3,axiom,
holds(on(c,d),s0) ).
cnf(initial_state5,axiom,
holds(clear(a),s0) ).
cnf(initial_state7,axiom,
holds(clear(c),s0) ).
cnf(initial_state8,axiom,
holds(empty,s0) ).
cnf(c0,plain,
~ holds(and(on(a,c),on(c,d)),X0),
inference(clausification,[status(esa)],[prove_ACD]) ).
cnf(c1,plain,
( ~ holds(X1,X2)
| ~ holds(X0,X2)
| holds(and(X0,X1),X2) ),
inference(clausification,[status(esa)],[and_definition]) ).
cnf(c2,plain,
( ~ differ(X0,table)
| ~ holds(clear(X0),X1)
| ~ holds(empty,X1)
| holds(holding(X0),do(pickup(X0),X1)) ),
inference(clausification,[status(esa)],[pickup_1]) ).
cnf(c4,plain,
( ~ differ(X0,X2)
| ~ holds(on(X0,X1),X3)
| holds(on(X0,X1),do(pickup(X2),X3)) ),
inference(clausification,[status(esa)],[pickup_3]) ).
cnf(c5,plain,
( ~ differ(X0,X1)
| ~ holds(clear(X0),X2)
| holds(clear(X0),do(pickup(X1),X2)) ),
inference(clausification,[status(esa)],[pickup_4]) ).
cnf(c7,plain,
( ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2)
| holds(on(X0,X1),do(putdown(X0,X1),X2)) ),
inference(clausification,[status(esa)],[putdown_2]) ).
cnf(c9,plain,
( ~ holds(on(X0,X1),X4)
| holds(on(X0,X1),do(putdown(X2,X3),X4)) ),
inference(clausification,[status(esa)],[putdown_4]) ).
cnf(c11,plain,
( ~ differ(X1,X0)
| differ(X0,X1) ),
inference(clausification,[status(esa)],[symmetry_of_differ]) ).
cnf(c13,plain,
differ(a,c),
inference(clausification,[status(esa)],[differ_a_c]) ).
cnf(c15,plain,
differ(a,table),
inference(clausification,[status(esa)],[differ_a_table]) ).
cnf(c24,plain,
holds(on(c,d),s0),
inference(clausification,[status(esa)],[initial_state3]) ).
cnf(c26,plain,
holds(clear(a),s0),
inference(clausification,[status(esa)],[initial_state5]) ).
cnf(c28,plain,
holds(clear(c),s0),
inference(clausification,[status(esa)],[initial_state7]) ).
cnf(c29,plain,
holds(empty,s0),
inference(clausification,[status(esa)],[initial_state8]) ).
cnf(d0,plain,
( ~ holds(on(c,d),X0)
| ~ holds(on(a,c),X0) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
( ~ holds(on(c,d),X2)
| ~ holds(on(a,c),do(putdown(X0,X1),X2)) ),
inference(resolution,[status(thm)],[d0,c9]) ).
cnf(d2,plain,
( ~ holds(holding(a),X0)
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0) ),
inference(resolution,[status(thm)],[d1,c7]) ).
cnf(d3,plain,
( ~ differ(c,X0)
| ~ holds(on(c,d),X1)
| ~ holds(holding(a),do(pickup(X0),X1))
| ~ holds(clear(c),do(pickup(X0),X1)) ),
inference(resolution,[status(thm)],[d2,c4]) ).
cnf(d4,plain,
( ~ differ(a,table)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ differ(c,a)
| ~ holds(clear(c),do(pickup(a),X0))
| ~ holds(on(c,d),X0) ),
inference(resolution,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
( ~ differ(c,a)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(a),X0))
| ~ holds(clear(a),X0)
| ~ holds(on(c,d),X0) ),
inference(resolution,[status(thm)],[c15,d4]) ).
cnf(d6,plain,
differ(c,a),
inference(resolution,[status(thm)],[c11,c13]) ).
cnf(d7,plain,
( ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(a),X0))
| ~ holds(clear(a),X0)
| ~ holds(on(c,d),X0) ),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
( ~ differ(c,a)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(on(c,d),X0) ),
inference(resolution,[status(thm)],[d7,c5]) ).
cnf(d9,plain,
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(on(c,d),X0) ),
inference(resolution,[status(thm)],[d6,d8]) ).
cnf(d10,plain,
( ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| ~ holds(clear(a),s0) ),
inference(resolution,[status(thm)],[d9,c24]) ).
cnf(d11,plain,
( ~ holds(clear(c),s0)
| ~ holds(clear(a),s0) ),
inference(resolution,[status(thm)],[c29,d10]) ).
cnf(d12,plain,
~ holds(clear(c),s0),
inference(resolution,[status(thm)],[c26,d11]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[c28,d12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA022-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n018.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 26 04:46:51 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.29/3.39 % SZS status Unsatisfiable for theBenchmark.p
% 12.29/3.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------