%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PLA002-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 : Thu Sep 24 01:58:29 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 57 ( 7 unt; 2 def)
% Number of atoms : 150 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 198 ( 105 ~; 91 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,hypothesis,
! [Situation1,Situation2] :
( ~ situation(Situation2)
| ~ situation(Situation1)
| cold(Situation2)
| warm(Situation1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
! [Situation] :
( ~ situation(Situation)
| at(a,walk(a,Situation))
| ~ at(b,Situation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
! [Situation] :
( ~ situation(Situation)
| at(b,skate(b,Situation))
| ~ at(c,Situation)
| ~ cold(Situation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
! [Situation] :
( ~ situation(Situation)
| at(b,climb(b,Situation))
| ~ at(d,Situation)
| ~ warm(Situation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
! [Situation] :
( ~ situation(Situation)
| at(c,go(c,Situation))
| ~ at(d,Situation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
! [Situation] :
( ~ situation(Situation)
| at(d,go(d,Situation))
| ~ at(f,Situation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
situation(s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
! [Situation,Somewhere] :
( situation(walk(Somewhere,Situation))
| ~ situation(Situation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
! [Situation,Somewhere] :
( situation(climb(Somewhere,Situation))
| ~ situation(Situation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
! [Situation,Somewhere] :
( situation(skate(Somewhere,Situation))
| ~ situation(Situation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
! [Situation,Somewhere] :
( situation(go(Somewhere,Situation))
| ~ situation(Situation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,hypothesis,
at(f,s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [S] :
( ~ situation(S)
| ~ at(a,S) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,plain,
! [Situation2] :
( ~ situation(Situation2)
| ! [Situation1] :
( ~ situation(Situation1)
| cold(Situation2)
| warm(Situation1) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f25,plain,
! [X0,X1] :
( ~ situation(X1)
| ~ situation(X0)
| cold(X1)
| warm(X0) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f28,plain,
! [X0] :
( ~ situation(X0)
| at(a,walk(a,X0))
| ~ at(b,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f31,plain,
! [X0] :
( ~ situation(X0)
| at(b,skate(b,X0))
| ~ at(c,X0)
| ~ cold(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f33,plain,
! [X0] :
( ~ situation(X0)
| at(b,climb(b,X0))
| ~ at(d,X0)
| ~ warm(X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f35,plain,
! [X0] :
( ~ situation(X0)
| at(c,go(c,X0))
| ~ at(d,X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f39,plain,
! [X0] :
( ~ situation(X0)
| at(d,go(d,X0))
| ~ at(f,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f40,plain,
situation(s0),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f41,plain,
! [Situation] :
( ! [Somewhere] : situation(walk(Somewhere,Situation))
| ~ situation(Situation) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f42,plain,
! [X0,X1] :
( situation(walk(X1,X0))
| ~ situation(X0) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f45,plain,
! [Situation] :
( ! [Somewhere] : situation(climb(Somewhere,Situation))
| ~ situation(Situation) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f46,plain,
! [X0,X1] :
( situation(climb(X1,X0))
| ~ situation(X0) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f47,plain,
! [Situation] :
( ! [Somewhere] : situation(skate(Somewhere,Situation))
| ~ situation(Situation) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f48,plain,
! [X0,X1] :
( situation(skate(X1,X0))
| ~ situation(X0) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f49,plain,
! [Situation] :
( ! [Somewhere] : situation(go(Somewhere,Situation))
| ~ situation(Situation) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f50,plain,
! [X0,X1] :
( situation(go(X1,X0))
| ~ situation(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
at(f,s0),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f52,plain,
! [X0] :
( ~ situation(X0)
| ~ at(a,X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f53,definition,
! [X0] :
( sQ0_spl
<=> ( ~ situation(X0)
| warm(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f54,plain,
! [X0] :
( ~ sQ0_spl
| ~ situation(X0)
| warm(X0) ),
inference(component_clause,[status(thm)],[f53]) ).
fof(f56,definition,
! [X1] :
( sQ1_spl
<=> ( ~ situation(X1)
| cold(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f57,plain,
! [X0] :
( ~ sQ1_spl
| ~ situation(X0)
| cold(X0) ),
inference(component_clause,[status(thm)],[f56]) ).
fof(f59,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f25,f53,f56]) ).
fof(f61,plain,
! [X0,X1] :
( ~ at(a,walk(X1,X0))
| ~ situation(X0) ),
inference(resolution,[status(thm)],[f42,f52]) ).
fof(f66,plain,
! [X0] :
( ~ situation(X0)
| ~ at(b,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f28,f61]) ).
fof(f67,plain,
! [X0] :
( ~ sQ0_spl
| ~ situation(X0)
| at(b,climb(b,X0))
| ~ at(d,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f33,f54]) ).
fof(f68,plain,
! [X0] :
( ~ sQ0_spl
| ~ situation(climb(b,X0))
| ~ situation(X0)
| ~ at(d,X0) ),
inference(resolution,[status(thm)],[f67,f66]) ).
fof(f69,plain,
! [X0] :
( ~ sQ0_spl
| ~ situation(X0)
| ~ at(d,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f68,f46]) ).
fof(f70,plain,
! [X0] :
( ~ sQ0_spl
| ~ situation(X0)
| ~ at(f,X0)
| ~ situation(go(d,X0)) ),
inference(resolution,[status(thm)],[f69,f39]) ).
fof(f72,plain,
! [X0] :
( ~ sQ0_spl
| ~ situation(X0)
| ~ at(f,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f70,f50]) ).
fof(f74,plain,
( ~ sQ0_spl
| ~ situation(s0) ),
inference(resolution,[status(thm)],[f72,f51]) ).
fof(f75,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f74,f40]) ).
fof(f76,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f75]) ).
fof(f77,plain,
! [X0] :
( ~ sQ1_spl
| ~ situation(X0)
| at(b,skate(b,X0))
| ~ at(c,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f31,f57]) ).
fof(f78,plain,
! [X0] :
( ~ sQ1_spl
| ~ situation(skate(b,X0))
| ~ situation(X0)
| ~ at(c,X0) ),
inference(resolution,[status(thm)],[f77,f66]) ).
fof(f79,plain,
! [X0] :
( ~ sQ1_spl
| ~ situation(X0)
| ~ at(c,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f78,f48]) ).
fof(f80,plain,
! [X0] :
( ~ sQ1_spl
| ~ situation(X0)
| ~ at(d,X0)
| ~ situation(go(c,X0)) ),
inference(resolution,[status(thm)],[f79,f35]) ).
fof(f82,plain,
! [X0] :
( ~ sQ1_spl
| ~ situation(X0)
| ~ at(d,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f80,f50]) ).
fof(f84,plain,
! [X0] :
( ~ sQ1_spl
| ~ situation(X0)
| ~ at(f,X0)
| ~ situation(go(d,X0)) ),
inference(resolution,[status(thm)],[f82,f39]) ).
fof(f85,plain,
! [X0] :
( ~ sQ1_spl
| ~ situation(X0)
| ~ at(f,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f84,f50]) ).
fof(f86,plain,
( ~ sQ1_spl
| ~ situation(s0) ),
inference(resolution,[status(thm)],[f85,f51]) ).
fof(f87,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f86,f40]) ).
fof(f88,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f87]) ).
fof(f89,plain,
$false,
inference(sat_refutation,[status(thm)],[f59,f76,f88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA002-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 03:31:40 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.039715 seconds
% 0.14/0.42 % CPU time: 0.110411 seconds
% 0.14/0.42 % Total memory used: 17.079 MB
% 0.14/0.42 % Net memory used: 16.785 MB
%------------------------------------------------------------------------------