%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : PLA007-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 08:20:22 AM UTC 2026
% Result : Unsatisfiable 3.39s 0.95s
% Output : CNFRefutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of formulae : 66 ( 36 unt; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 120 ( 65 ~; 55 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 60 ( 6 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pickup_1,axiom,
! [VAR_0,VAR_1] :
( ~ differ(VAR_0,table)
| ~ holds(clear(VAR_0),VAR_1)
| ~ holds(empty,VAR_1)
| holds(holding(VAR_0),do(pickup(VAR_0),VAR_1)) ),
file('theBenchmark.p',pickup_1) ).
cnf(c_2,plain,
( ~ differ(A,table)
| ~ holds(clear(A),B)
| ~ holds(empty,B)
| holds(holding(A),do(pickup(A),B)) ),
inference(clausify,[status(thm)],[pickup_1]) ).
fof(pickup_2,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ holds(empty,VAR_2)
| ~ holds(clear(VAR_1),VAR_2)
| ~ holds(on(VAR_1,VAR_0),VAR_2)
| holds(clear(VAR_0),do(pickup(VAR_1),VAR_2)) ),
file('theBenchmark.p',pickup_2) ).
cnf(c_3,plain,
( ~ holds(empty,C)
| ~ holds(clear(B),C)
| ~ holds(on(B,A),C)
| holds(clear(A),do(pickup(B),C)) ),
inference(clausify,[status(thm)],[pickup_2]) ).
fof(pickup_4,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ differ(VAR_0,VAR_1)
| ~ holds(clear(VAR_0),VAR_2)
| holds(clear(VAR_0),do(pickup(VAR_1),VAR_2)) ),
file('theBenchmark.p',pickup_4) ).
cnf(c_5,plain,
( ~ differ(A,B)
| ~ holds(clear(A),C)
| holds(clear(A),do(pickup(B),C)) ),
inference(clausify,[status(thm)],[pickup_4]) ).
fof(putdown_1,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ holds(clear(VAR_1),VAR_2)
| ~ holds(holding(VAR_0),VAR_2)
| holds(empty,do(putdown(VAR_0,VAR_1),VAR_2)) ),
file('theBenchmark.p',putdown_1) ).
cnf(c_6,plain,
( ~ holds(clear(B),C)
| ~ holds(holding(A),C)
| holds(empty,do(putdown(A,B),C)) ),
inference(clausify,[status(thm)],[putdown_1]) ).
fof(putdown_2,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ holds(clear(VAR_1),VAR_2)
| ~ holds(holding(VAR_0),VAR_2)
| holds(on(VAR_0,VAR_1),do(putdown(VAR_0,VAR_1),VAR_2)) ),
file('theBenchmark.p',putdown_2) ).
cnf(c_7,plain,
( ~ holds(clear(B),C)
| ~ holds(holding(A),C)
| holds(on(A,B),do(putdown(A,B),C)) ),
inference(clausify,[status(thm)],[putdown_2]) ).
fof(putdown_5,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ differ(VAR_0,VAR_2)
| ~ holds(clear(VAR_0),VAR_3)
| holds(clear(VAR_0),do(putdown(VAR_1,VAR_2),VAR_3)) ),
file('theBenchmark.p',putdown_5) ).
cnf(c_10,plain,
( ~ differ(A,C)
| ~ holds(clear(A),D)
| holds(clear(A),do(putdown(B,C),D)) ),
inference(clausify,[status(thm)],[putdown_5]) ).
fof(symmetry_of_differ,axiom,
! [VAR_0,VAR_1] :
( ~ differ(VAR_1,VAR_0)
| differ(VAR_0,VAR_1) ),
file('theBenchmark.p',symmetry_of_differ) ).
cnf(c_11,plain,
( ~ differ(B,A)
| differ(A,B) ),
inference(clausify,[status(thm)],[symmetry_of_differ]) ).
fof(differ_a_b,axiom,
differ(a,b),
file('theBenchmark.p',differ_a_b) ).
cnf(c_12,plain,
differ(a,b),
inference(clausify,[status(thm)],[differ_a_b]) ).
fof(differ_a_c,axiom,
differ(a,c),
file('theBenchmark.p',differ_a_c) ).
cnf(c_13,plain,
differ(a,c),
inference(clausify,[status(thm)],[differ_a_c]) ).
fof(differ_a_d,axiom,
differ(a,d),
file('theBenchmark.p',differ_a_d) ).
cnf(c_14,plain,
differ(a,d),
inference(clausify,[status(thm)],[differ_a_d]) ).
fof(differ_a_table,axiom,
differ(a,table),
file('theBenchmark.p',differ_a_table) ).
cnf(c_15,plain,
differ(a,table),
inference(clausify,[status(thm)],[differ_a_table]) ).
fof(differ_b_c,axiom,
differ(b,c),
file('theBenchmark.p',differ_b_c) ).
cnf(c_16,plain,
differ(b,c),
inference(clausify,[status(thm)],[differ_b_c]) ).
fof(differ_b_d,axiom,
differ(b,d),
file('theBenchmark.p',differ_b_d) ).
cnf(c_17,plain,
differ(b,d),
inference(clausify,[status(thm)],[differ_b_d]) ).
fof(differ_c_table,axiom,
differ(c,table),
file('theBenchmark.p',differ_c_table) ).
cnf(c_20,plain,
differ(c,table),
inference(clausify,[status(thm)],[differ_c_table]) ).
fof(initial_state3,axiom,
holds(on(c,d),s0),
file('theBenchmark.p',initial_state3) ).
cnf(c_24,plain,
holds(on(c,d),s0),
inference(clausify,[status(thm)],[initial_state3]) ).
fof(initial_state5,axiom,
holds(clear(a),s0),
file('theBenchmark.p',initial_state5) ).
cnf(c_26,plain,
holds(clear(a),s0),
inference(clausify,[status(thm)],[initial_state5]) ).
fof(initial_state6,axiom,
holds(clear(b),s0),
file('theBenchmark.p',initial_state6) ).
cnf(c_27,plain,
holds(clear(b),s0),
inference(clausify,[status(thm)],[initial_state6]) ).
fof(initial_state7,axiom,
holds(clear(c),s0),
file('theBenchmark.p',initial_state7) ).
cnf(c_28,plain,
holds(clear(c),s0),
inference(clausify,[status(thm)],[initial_state7]) ).
fof(initial_state8,axiom,
holds(empty,s0),
file('theBenchmark.p',initial_state8) ).
cnf(c_29,plain,
holds(empty,s0),
inference(clausify,[status(thm)],[initial_state8]) ).
fof(prove_AD,axiom,
! [VAR_0] : ~ holds(on(a,d),VAR_0),
file('theBenchmark.p',prove_AD) ).
cnf(c_31,plain,
~ holds(on(a,d),A),
inference(clausify,[status(thm)],[prove_AD]) ).
cnf(c_33,plain,
( ~ holds(clear(a),B)
| holds(clear(a),do(putdown(A,b),B)) ),
inference(resolve,[status(thm)],[c_12,c_10]) ).
cnf(c_40,plain,
differ(d,a),
inference(resolve,[status(thm)],[c_14,c_11]) ).
cnf(c_53,plain,
differ(d,b),
inference(resolve,[status(thm)],[c_17,c_11]) ).
cnf(c_2196,plain,
( ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| holds(clear(d),do(pickup(c),s0)) ),
inference(resolve,[status(thm)],[c_24,c_3]) ).
cnf(c_2197,plain,
( ~ holds(empty,s0)
| holds(clear(d),do(pickup(c),s0)) ),
inference(resolve,[status(thm)],[c_28,c_2196]) ).
cnf(c_94,plain,
holds(clear(d),do(pickup(c),s0)),
inference(resolve,[status(thm)],[c_29,c_2197]) ).
cnf(c_2198,plain,
( ~ differ(a,A)
| holds(clear(a),do(pickup(A),s0)) ),
inference(resolve,[status(thm)],[c_5,c_26]) ).
cnf(c_126,plain,
holds(clear(a),do(pickup(c),s0)),
inference(resolve,[status(thm)],[c_2198,c_13]) ).
cnf(c_2199,plain,
( ~ differ(b,A)
| holds(clear(b),do(pickup(A),s0)) ),
inference(resolve,[status(thm)],[c_5,c_27]) ).
cnf(c_147,plain,
holds(clear(b),do(pickup(c),s0)),
inference(resolve,[status(thm)],[c_2199,c_16]) ).
cnf(c_2200,plain,
( ~ differ(A,table)
| ~ holds(clear(A),s0)
| holds(holding(A),do(pickup(A),s0)) ),
inference(resolve,[status(thm)],[c_2,c_29]) ).
cnf(c_2201,plain,
( ~ differ(c,table)
| holds(holding(c),do(pickup(c),s0)) ),
inference(resolve,[status(thm)],[c_2200,c_28]) ).
cnf(c_183,plain,
holds(holding(c),do(pickup(c),s0)),
inference(resolve,[status(thm)],[c_2201,c_20]) ).
cnf(c_223,plain,
( ~ holds(clear(d),A)
| ~ holds(holding(a),A) ),
inference(resolve,[status(thm)],[c_31,c_7]) ).
cnf(c_2202,plain,
( ~ differ(a,table)
| ~ holds(clear(a),A)
| ~ holds(empty,A)
| ~ holds(clear(d),do(pickup(a),A)) ),
inference(resolve,[status(thm)],[c_223,c_2]) ).
cnf(c_230,plain,
( ~ holds(clear(a),A)
| ~ holds(empty,A)
| ~ holds(clear(d),do(pickup(a),A)) ),
inference(resolve,[status(thm)],[c_15,c_2202]) ).
cnf(c_2203,plain,
( ~ differ(d,a)
| ~ holds(clear(d),A)
| ~ holds(clear(a),A)
| ~ holds(empty,A) ),
inference(resolve,[status(thm)],[c_230,c_5]) ).
cnf(c_235,plain,
( ~ holds(clear(d),A)
| ~ holds(clear(a),A)
| ~ holds(empty,A) ),
inference(resolve,[status(thm)],[c_40,c_2203]) ).
cnf(c_274,plain,
( ~ holds(clear(d),do(putdown(B,b),A))
| ~ holds(empty,do(putdown(B,b),A))
| ~ holds(clear(a),A) ),
inference(resolve,[status(thm)],[c_33,c_235]) ).
cnf(c_2204,plain,
( ~ differ(d,B)
| holds(clear(d),do(putdown(A,B),do(pickup(c),s0))) ),
inference(resolve,[status(thm)],[c_10,c_94]) ).
cnf(c_618,plain,
holds(clear(d),do(putdown(A,b),do(pickup(c),s0))),
inference(resolve,[status(thm)],[c_2204,c_53]) ).
cnf(c_2205,plain,
( ~ holds(clear(A),do(pickup(c),s0))
| holds(empty,do(putdown(c,A),do(pickup(c),s0))) ),
inference(resolve,[status(thm)],[c_6,c_183]) ).
cnf(c_1265,plain,
holds(empty,do(putdown(c,b),do(pickup(c),s0))),
inference(resolve,[status(thm)],[c_2205,c_147]) ).
cnf(c_2206,plain,
( ~ holds(clear(d),do(putdown(A,b),do(pickup(c),s0)))
| ~ holds(empty,do(putdown(A,b),do(pickup(c),s0))) ),
inference(resolve,[status(thm)],[c_274,c_126]) ).
cnf(c_2194,plain,
~ holds(empty,do(putdown(A,b),do(pickup(c),s0))),
inference(resolve,[status(thm)],[c_618,c_2206]) ).
cnf(c_2195,plain,
$false,
inference(resolve,[status(thm)],[c_2194,c_1265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PLA007-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n020.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 04:43:19 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.43 % Process 635424 was started by sandbox on n020,
% 0.17/0.43 % Sat Sep 26 04:43:19 2026
% 0.17/0.43 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.17/0.44
% 0.17/0.44 % From the command line: assign(max_seconds, 300).
% 3.39/0.95
% 3.39/0.95 % SZS status Unsatisfiable for theBenchmark
% 3.39/0.95
% 3.39/0.95 % Proof 1 at 0.22 (+ 0.13) seconds.
% 3.39/0.95 % Length of proof is 35.
% 3.39/0.95 % Level of proof is 6.
% 3.39/0.95 % Maximum clause weight is 36.000.
% 3.39/0.95 % Given clauses 135.
% 3.39/0.95
% 3.39/0.95 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------