%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : PLA002-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 08:20:20 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.41s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 9 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 25 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 26 ( 9 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(warm_or_cold,axiom,
! [VAR_0,VAR_1] :
( cold(VAR_1)
| warm(VAR_0) ),
file('theBenchmark.p',warm_or_cold) ).
cnf(c_2,plain,
( cold(B)
| warm(A) ),
inference(clausify,[status(thm)],[warm_or_cold]) ).
fof(climb_mountain_d_to_b,axiom,
! [VAR_0] :
( at(b,climb(b,VAR_0))
| ~ at(d,VAR_0)
| ~ warm(VAR_0) ),
file('theBenchmark.p',climb_mountain_d_to_b) ).
cnf(c_3,plain,
( at(b,climb(b,A))
| ~ at(d,A)
| ~ warm(A) ),
inference(clausify,[status(thm)],[climb_mountain_d_to_b]) ).
fof(cross_river_c_to_b,axiom,
! [VAR_0] :
( at(b,skate(b,VAR_0))
| ~ at(c,VAR_0)
| ~ cold(VAR_0) ),
file('theBenchmark.p',cross_river_c_to_b) ).
cnf(c_4,plain,
( at(b,skate(b,A))
| ~ at(c,A)
| ~ cold(A) ),
inference(clausify,[status(thm)],[cross_river_c_to_b]) ).
cnf(c_6,plain,
( cold(B)
| at(b,climb(b,A))
| ~ at(d,A) ),
inference(resolve,[status(thm)],[c_3,c_2]) ).
cnf(c_10,plain,
( at(b,climb(b,B))
| ~ at(d,B)
| at(b,skate(b,A))
| ~ at(c,A) ),
inference(resolve,[status(thm)],[c_4,c_6]) ).
fof(drive_b_to_a,axiom,
! [VAR_0] :
( at(a,drive(a,VAR_0))
| ~ at(b,VAR_0) ),
file('theBenchmark.p',drive_b_to_a) ).
cnf(c_15,plain,
( at(a,drive(a,A))
| ~ at(b,A) ),
inference(clausify,[status(thm)],[drive_b_to_a]) ).
fof(go_d_to_c,axiom,
! [VAR_0] :
( at(c,go(c,VAR_0))
| ~ at(d,VAR_0) ),
file('theBenchmark.p',go_d_to_c) ).
cnf(c_17,plain,
( at(c,go(c,A))
| ~ at(d,A) ),
inference(clausify,[status(thm)],[go_d_to_c]) ).
fof(go_f_to_d,axiom,
! [VAR_0] :
( at(d,go(d,VAR_0))
| ~ at(f,VAR_0) ),
file('theBenchmark.p',go_f_to_d) ).
cnf(c_21,plain,
( at(d,go(d,A))
| ~ at(f,A) ),
inference(clausify,[status(thm)],[go_f_to_d]) ).
fof(initial,axiom,
at(f,s0),
file('theBenchmark.p',initial) ).
cnf(c_22,plain,
at(f,s0),
inference(clausify,[status(thm)],[initial]) ).
fof(prove_you_can_get_to_a,axiom,
! [VAR_0] : ~ at(a,VAR_0),
file('theBenchmark.p',prove_you_can_get_to_a) ).
cnf(c_23,plain,
~ at(a,A),
inference(clausify,[status(thm)],[prove_you_can_get_to_a]) ).
cnf(c_25,plain,
~ at(b,A),
inference(resolve,[status(thm)],[c_23,c_15]) ).
cnf(c_31,plain,
( at(b,climb(b,B))
| ~ at(d,B)
| ~ at(c,A) ),
inference(resolve,[status(thm)],[c_25,c_10]) ).
cnf(c_26,plain,
( ~ at(d,B)
| ~ at(c,A) ),
inference(resolve,[status(thm)],[c_25,c_31]) ).
cnf(c_27,plain,
at(d,go(d,s0)),
inference(resolve,[status(thm)],[c_22,c_21]) ).
cnf(c_28,plain,
~ at(c,A),
inference(resolve,[status(thm)],[c_27,c_26]) ).
cnf(c_32,plain,
at(c,go(c,go(d,s0))),
inference(resolve,[status(thm)],[c_27,c_17]) ).
cnf(c_30,plain,
$false,
inference(resolve,[status(thm)],[c_28,c_32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PLA002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.39 % Computer : n008.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sat Sep 26 04:42:56 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.39 % Process 2783436 was started by sandbox2 on n008,
% 0.12/0.39 % Sat Sep 26 04:42:56 2026
% 0.12/0.39 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/0.40
% 0.12/0.40 % From the command line: assign(max_seconds, 300).
% 0.12/0.41
% 0.12/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.41
% 0.12/0.41 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.12/0.41 % Length of proof is 15.
% 0.12/0.41 % Level of proof is 5.
% 0.12/0.41 % Maximum clause weight is 16.000.
% 0.12/0.41 % Given clauses 11.
% 0.12/0.41
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------