%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PLA017-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 08:20:06 AM UTC 2026
% Result : Unsatisfiable 49.93s 15.30s
% Output : CNFRefutation 49.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of clauses : 39 ( 39 unt; 0 nHn; 25 RR)
% Number of literals : 39 ( 38 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-4 aty)
% Number of variables : 32 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
ifeq(X0,X0,X1,X2) = X1 ).
cnf(pickup_1,axiom,
ifeq(differ(X0,table),true,ifeq(holds(empty,X1),true,ifeq(holds(clear(X0),X1),true,holds(holding(X0),do(pickup(X0),X1)),true),true),true) = true ).
cnf(pickup_4,axiom,
ifeq(differ(X0,X1),true,ifeq(holds(clear(X0),X2),true,holds(clear(X0),do(pickup(X1),X2)),true),true) = true ).
cnf(putdown_2,axiom,
ifeq(holds(holding(X0),X1),true,ifeq(holds(clear(X2),X1),true,holds(on(X0,X2),do(putdown(X0,X2),X1)),true),true) = true ).
cnf(symmetry_of_differ,axiom,
ifeq(differ(X0,X1),true,differ(X1,X0),true) = true ).
cnf(differ_a_c,axiom,
differ(a,c) = true ).
cnf(differ_a_table,axiom,
differ(a,table) = true ).
cnf(initial_state5,axiom,
holds(clear(a),s0) = true ).
cnf(initial_state7,axiom,
holds(clear(c),s0) = true ).
cnf(initial_state8,axiom,
holds(empty,s0) = true ).
cnf(prove_AC,negated_conjecture,
holds(on(a,c),X0) != true ).
cnf(c0,plain,
ifeq(X0,X0,X1,X2) = X1,
inference(clausification,[status(esa)],[ifeq_axiom]) ).
cnf(c2,plain,
ifeq(differ(X0,table),true,ifeq(holds(empty,X1),true,ifeq(holds(clear(X0),X1),true,holds(holding(X0),do(pickup(X0),X1)),true),true),true) = true,
inference(clausification,[status(esa)],[pickup_1]) ).
cnf(c5,plain,
ifeq(differ(X0,X1),true,ifeq(holds(clear(X0),X2),true,holds(clear(X0),do(pickup(X1),X2)),true),true) = true,
inference(clausification,[status(esa)],[pickup_4]) ).
cnf(c7,plain,
ifeq(holds(holding(X0),X1),true,ifeq(holds(clear(X2),X1),true,holds(on(X0,X2),do(putdown(X0,X2),X1)),true),true) = true,
inference(clausification,[status(esa)],[putdown_2]) ).
cnf(c11,plain,
ifeq(differ(X0,X1),true,differ(X1,X0),true) = true,
inference(clausification,[status(esa)],[symmetry_of_differ]) ).
cnf(c13,plain,
differ(a,c) = true,
inference(clausification,[status(esa)],[differ_a_c]) ).
cnf(c15,plain,
differ(a,table) = true,
inference(clausification,[status(esa)],[differ_a_table]) ).
cnf(c26,plain,
holds(clear(a),s0) = true,
inference(clausification,[status(esa)],[initial_state5]) ).
cnf(c28,plain,
holds(clear(c),s0) = true,
inference(clausification,[status(esa)],[initial_state7]) ).
cnf(c29,plain,
holds(empty,s0) = true,
inference(clausification,[status(esa)],[initial_state8]) ).
cnf(c31,plain,
holds(on(a,c),X0) != true,
inference(clausification,[status(esa)],[prove_AC]) ).
cnf(d0,plain,
ifeq(differ(a,table),true,ifeq(holds(empty,s0),true,ifeq(true,true,holds(holding(a),do(pickup(a),s0)),true),true),true) = true,
inference(superposition,[status(thm)],[c26,c2]) ).
cnf(d1,plain,
ifeq(true,true,ifeq(holds(empty,s0),true,ifeq(true,true,holds(holding(a),do(pickup(a),s0)),true),true),true) = true,
inference(demodulation,[status(thm)],[d0,c15]) ).
cnf(d2,plain,
ifeq(holds(empty,s0),true,ifeq(true,true,holds(holding(a),do(pickup(a),s0)),true),true) = true,
inference(demodulation,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
ifeq(true,true,ifeq(true,true,holds(holding(a),do(pickup(a),s0)),true),true) = true,
inference(demodulation,[status(thm)],[d2,c29]) ).
cnf(d4,plain,
ifeq(true,true,holds(holding(a),do(pickup(a),s0)),true) = true,
inference(demodulation,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
holds(holding(a),do(pickup(a),s0)) = true,
inference(demodulation,[status(thm)],[d4,c0]) ).
cnf(d6,plain,
ifeq(true,true,ifeq(holds(clear(X0),do(pickup(a),s0)),true,holds(on(a,X0),do(putdown(a,X0),do(pickup(a),s0))),true),true) = true,
inference(superposition,[status(thm)],[d5,c7]) ).
cnf(d7,plain,
ifeq(holds(clear(X0),do(pickup(a),s0)),true,holds(on(a,X0),do(putdown(a,X0),do(pickup(a),s0))),true) = true,
inference(demodulation,[status(thm)],[d6,c0]) ).
cnf(d8,plain,
ifeq(differ(c,X0),true,ifeq(true,true,holds(clear(c),do(pickup(X0),s0)),true),true) = true,
inference(superposition,[status(thm)],[c28,c5]) ).
cnf(d9,plain,
ifeq(differ(c,X0),true,holds(clear(c),do(pickup(X0),s0)),true) = true,
inference(demodulation,[status(thm)],[d8,c0]) ).
cnf(d10,plain,
ifeq(true,true,differ(c,a),true) = true,
inference(superposition,[status(thm)],[c13,c11]) ).
cnf(d11,plain,
differ(c,a) = true,
inference(demodulation,[status(thm)],[d10,c0]) ).
cnf(d12,plain,
ifeq(true,true,holds(clear(c),do(pickup(a),s0)),true) = true,
inference(superposition,[status(thm)],[d11,d9]) ).
cnf(d13,plain,
holds(clear(c),do(pickup(a),s0)) = true,
inference(demodulation,[status(thm)],[d12,c0]) ).
cnf(d14,plain,
ifeq(true,true,holds(on(a,c),do(putdown(a,c),do(pickup(a),s0))),true) = true,
inference(superposition,[status(thm)],[d13,d7]) ).
cnf(d15,plain,
holds(on(a,c),do(putdown(a,c),do(pickup(a),s0))) = true,
inference(demodulation,[status(thm)],[d14,c0]) ).
cnf(d16,plain,
$false,
inference(resolution,[status(thm)],[c31,d15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PLA017-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.44 % Computer : n018.cluster.edu
% 0.17/5.44 % Model : x86_64 x86_64
% 0.17/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.44 % Memory : 8046.5625MB
% 0.17/5.44 % OS : Linux 6.8.0-71-generic
% 0.17/5.44 % CPULimit : 300
% 0.17/5.44 % WCLimit : 300
% 0.17/5.44 % DateTime : Sat Sep 26 04:46:26 UTC 2026
% 0.17/5.44 % CPUTime :
% 0.17/5.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 49.93/15.30 % SZS status Unsatisfiable for theBenchmark.p
% 49.93/15.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------