%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PLA002-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 08:20:03 AM UTC 2026
% Result : Unsatisfiable 10.98s 2.01s
% Output : CNFRefutation 10.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of clauses : 48 ( 8 unt; 5 nHn; 31 RR)
% Number of literals : 134 ( 0 equ; 95 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 58 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(warm_or_cold,hypothesis,
( ~ situation(X1)
| ~ situation(X0)
| cold(X1)
| warm(X0) ) ).
cnf(walk_b_to_a,hypothesis,
( ~ situation(X0)
| at(a,walk(a,X0))
| ~ at(b,X0) ) ).
cnf(cross_river_c_to_b,hypothesis,
( ~ situation(X0)
| at(b,skate(b,X0))
| ~ at(c,X0)
| ~ cold(X0) ) ).
cnf(climb_mountain_d_to_b,hypothesis,
( ~ situation(X0)
| at(b,climb(b,X0))
| ~ at(d,X0)
| ~ warm(X0) ) ).
cnf(go_d_to_c,hypothesis,
( ~ situation(X0)
| at(c,go(c,X0))
| ~ at(d,X0) ) ).
cnf(go_f_to_d,hypothesis,
( ~ situation(X0)
| at(d,go(d,X0))
| ~ at(f,X0) ) ).
cnf(initial_situation,hypothesis,
situation(s0) ).
cnf(walk_situation,hypothesis,
( situation(walk(X1,X0))
| ~ situation(X0) ) ).
cnf(climb_situation,hypothesis,
( situation(climb(X1,X0))
| ~ situation(X0) ) ).
cnf(skate_situation,hypothesis,
( situation(skate(X1,X0))
| ~ situation(X0) ) ).
cnf(go_situation,hypothesis,
( situation(go(X1,X0))
| ~ situation(X0) ) ).
cnf(initial,hypothesis,
at(f,s0) ).
cnf(prove_you_can_get_to_a_in_a_situation,negated_conjecture,
( ~ situation(X0)
| ~ at(a,X0) ) ).
cnf(c0,plain,
( ~ situation(X1)
| ~ situation(X0)
| cold(X1)
| warm(X0) ),
inference(clausification,[status(esa)],[warm_or_cold]) ).
cnf(c3,plain,
( ~ situation(X0)
| at(a,walk(a,X0))
| ~ at(b,X0) ),
inference(clausification,[status(esa)],[walk_b_to_a]) ).
cnf(c6,plain,
( ~ situation(X0)
| at(b,skate(b,X0))
| ~ at(c,X0)
| ~ cold(X0) ),
inference(clausification,[status(esa)],[cross_river_c_to_b]) ).
cnf(c8,plain,
( ~ situation(X0)
| at(b,climb(b,X0))
| ~ at(d,X0)
| ~ warm(X0) ),
inference(clausification,[status(esa)],[climb_mountain_d_to_b]) ).
cnf(c10,plain,
( ~ situation(X0)
| at(c,go(c,X0))
| ~ at(d,X0) ),
inference(clausification,[status(esa)],[go_d_to_c]) ).
cnf(c14,plain,
( ~ situation(X0)
| at(d,go(d,X0))
| ~ at(f,X0) ),
inference(clausification,[status(esa)],[go_f_to_d]) ).
cnf(c15,plain,
situation(s0),
inference(clausification,[status(esa)],[initial_situation]) ).
cnf(c16,plain,
( situation(walk(X1,X0))
| ~ situation(X0) ),
inference(clausification,[status(esa)],[walk_situation]) ).
cnf(c18,plain,
( situation(climb(X1,X0))
| ~ situation(X0) ),
inference(clausification,[status(esa)],[climb_situation]) ).
cnf(c19,plain,
( situation(skate(X1,X0))
| ~ situation(X0) ),
inference(clausification,[status(esa)],[skate_situation]) ).
cnf(c20,plain,
( situation(go(X1,X0))
| ~ situation(X0) ),
inference(clausification,[status(esa)],[go_situation]) ).
cnf(c21,plain,
at(f,s0),
inference(clausification,[status(esa)],[initial]) ).
cnf(c22,plain,
( ~ situation(X0)
| ~ at(a,X0) ),
inference(clausification,[status(esa)],[prove_you_can_get_to_a_in_a_situation]) ).
cnf(d0,plain,
( ~ situation(walk(a,X0))
| ~ at(b,X0)
| ~ situation(X0) ),
inference(resolution,[status(thm)],[c3,c22]) ).
cnf(d1,plain,
( ~ situation(X0)
| ~ at(b,X0)
| ~ situation(X0) ),
inference(resolution,[status(thm)],[d0,c16]) ).
cnf(d2,plain,
( ~ at(d,X0)
| ~ warm(X0)
| ~ situation(X0)
| ~ situation(climb(b,X0)) ),
inference(resolution,[status(thm)],[d1,c8]) ).
cnf(d3,plain,
( ~ situation(X0)
| ~ at(d,X0)
| ~ warm(X0)
| ~ situation(X0) ),
inference(resolution,[status(thm)],[d2,c18]) ).
cnf(d4,plain,
( ~ at(f,X0)
| ~ situation(X0)
| ~ warm(go(d,X0))
| ~ situation(go(d,X0)) ),
inference(resolution,[status(thm)],[d3,c14]) ).
cnf(d5,plain,
( warm(go(X2,X0))
| cold(X1)
| ~ situation(X1)
| ~ situation(X0) ),
inference(resolution,[status(thm)],[c20,c0]) ).
cnf(d6,plain,
( warm(go(X1,s0))
| cold(X0)
| ~ situation(X0) ),
inference(resolution,[status(thm)],[d5,c15]) ).
cnf(d7,plain,
( ~ situation(X1)
| warm(go(X2,s0))
| cold(go(X0,X1)) ),
inference(resolution,[status(thm)],[d6,c20]) ).
cnf(d8,plain,
( ~ at(c,X0)
| ~ cold(X0)
| ~ situation(X0)
| ~ situation(skate(b,X0)) ),
inference(resolution,[status(thm)],[d1,c6]) ).
cnf(d9,plain,
( ~ situation(X0)
| ~ at(c,X0)
| ~ cold(X0)
| ~ situation(X0) ),
inference(resolution,[status(thm)],[d8,c19]) ).
cnf(d10,plain,
( ~ at(d,X0)
| ~ situation(X0)
| ~ cold(go(c,X0))
| ~ situation(go(c,X0)) ),
inference(resolution,[status(thm)],[d9,c10]) ).
cnf(d11,plain,
( warm(go(X1,s0))
| ~ situation(X0)
| ~ at(d,X0)
| ~ situation(go(c,X0))
| ~ situation(X0) ),
inference(resolution,[status(thm)],[d10,d7]) ).
cnf(d12,plain,
( ~ situation(X0)
| ~ at(d,X0)
| warm(go(X1,s0))
| ~ situation(X0) ),
inference(resolution,[status(thm)],[d11,c20]) ).
cnf(d13,plain,
( ~ at(f,X0)
| ~ situation(X0)
| warm(go(X1,s0))
| ~ situation(go(d,X0)) ),
inference(resolution,[status(thm)],[d12,c14]) ).
cnf(d14,plain,
( ~ situation(X0)
| ~ at(f,X0)
| warm(go(X1,s0))
| ~ situation(X0) ),
inference(resolution,[status(thm)],[d13,c20]) ).
cnf(d15,plain,
( warm(go(X0,s0))
| ~ situation(s0) ),
inference(resolution,[status(thm)],[d14,c21]) ).
cnf(d16,plain,
warm(go(X0,s0)),
inference(resolution,[status(thm)],[c15,d15]) ).
cnf(d17,plain,
( ~ at(f,s0)
| ~ situation(go(d,s0))
| ~ situation(s0) ),
inference(resolution,[status(thm)],[d16,d4]) ).
cnf(d18,plain,
( ~ at(f,s0)
| ~ situation(go(d,s0)) ),
inference(resolution,[status(thm)],[c15,d17]) ).
cnf(d19,plain,
~ situation(go(d,s0)),
inference(resolution,[status(thm)],[c21,d18]) ).
cnf(d20,plain,
~ situation(s0),
inference(resolution,[status(thm)],[d19,c20]) ).
cnf(d21,plain,
$false,
inference(resolution,[status(thm)],[c15,d20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA002-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n014.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 04:42:04 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.98/2.01 % SZS status Unsatisfiable for theBenchmark.p
% 10.98/2.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------