%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 02:46:24 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of formulae : 54 ( 8 unt; 7 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 128 ( 59 ~; 62 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 8 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,Y,Z] :
( q2(X,Y,Z)
| ~ less_or_equalish(X,Y)
| ~ q1(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] :
( q3(X,Y,Z)
| less_or_equalish(X,Y)
| ~ q1(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] :
( q4(X,Y,Y)
| ~ q2(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] :
( q4(X,Y,X)
| ~ q3(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : less_or_equalish(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] :
( less_or_equalish(Y,X)
| less_or_equalish(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
q1(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [W] :
( ~ less_or_equalish(W,a)
| ~ less_or_equalish(b,W)
| ~ less_or_equalish(a,W)
| ~ q4(a,b,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [W] :
( ~ less_or_equalish(W,b)
| ~ less_or_equalish(b,W)
| ~ less_or_equalish(a,W)
| ~ q4(a,b,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,plain,
! [X0,X1,X2] :
( q2(X0,X1,X2)
| ~ less_or_equalish(X0,X1)
| ~ q1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f20,plain,
! [X0,X1,X2] :
( q3(X0,X1,X2)
| less_or_equalish(X0,X1)
| ~ q1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f21,plain,
! [X,Y] :
( q4(X,Y,Y)
| ! [Z] : ~ q2(X,Y,Z) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f22,plain,
! [X0,X1,X2] :
( q4(X0,X1,X1)
| ~ q2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f23,plain,
! [X,Y] :
( q4(X,Y,X)
| ! [Z] : ~ q3(X,Y,Z) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f24,plain,
! [X0,X1,X2] :
( q4(X0,X1,X0)
| ~ q3(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
! [X0] : less_or_equalish(X0,X0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f29,plain,
! [X0,X1] :
( less_or_equalish(X1,X0)
| less_or_equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f31,plain,
q1(a,b,c),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f32,plain,
! [X0] :
( ~ less_or_equalish(X0,a)
| ~ less_or_equalish(b,X0)
| ~ less_or_equalish(a,X0)
| ~ q4(a,b,X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f33,plain,
! [X0] :
( ~ less_or_equalish(X0,b)
| ~ less_or_equalish(b,X0)
| ~ less_or_equalish(a,X0)
| ~ q4(a,b,X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f41,plain,
! [X0,X1,X2] :
( q4(X0,X1,X1)
| ~ less_or_equalish(X0,X1)
| ~ q1(X0,X1,X2) ),
inference(resolution,[status(thm)],[f19,f22]) ).
fof(f43,plain,
( q4(a,b,b)
| ~ less_or_equalish(a,b) ),
inference(resolution,[status(thm)],[f41,f31]) ).
fof(f44,definition,
( sQ0_spl
<=> less_or_equalish(a,b) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f46,plain,
( sQ0_spl
| ~ less_or_equalish(a,b) ),
inference(component_clause,[status(thm)],[f44]) ).
fof(f47,definition,
( sQ1_spl
<=> q4(a,b,b) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f48,plain,
( ~ sQ1_spl
| q4(a,b,b) ),
inference(component_clause,[status(thm)],[f47]) ).
fof(f50,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f43,f44,f47]) ).
fof(f58,plain,
! [X0] :
( sQ0_spl
| q3(a,b,X0)
| ~ q1(a,b,X0) ),
inference(resolution,[status(thm)],[f46,f20]) ).
fof(f60,plain,
( sQ0_spl
| less_or_equalish(b,a) ),
inference(resolution,[status(thm)],[f46,f29]) ).
fof(f66,plain,
! [X0] :
( sQ0_spl
| q4(a,b,a)
| ~ q1(a,b,X0) ),
inference(resolution,[status(thm)],[f58,f24]) ).
fof(f67,definition,
! [X0] :
( sQ3_spl
<=> ~ q1(a,b,X0) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f68,plain,
! [X0] :
( ~ sQ3_spl
| ~ q1(a,b,X0) ),
inference(component_clause,[status(thm)],[f67]) ).
fof(f70,definition,
( sQ4_spl
<=> q4(a,b,a) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f71,plain,
( ~ sQ4_spl
| q4(a,b,a) ),
inference(component_clause,[status(thm)],[f70]) ).
fof(f73,plain,
( sQ0_spl
| sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f66,f67,f70,f44]) ).
fof(f74,plain,
( ~ sQ1_spl
| ~ less_or_equalish(b,b)
| ~ less_or_equalish(b,b)
| ~ less_or_equalish(a,b) ),
inference(resolution,[status(thm)],[f48,f33]) ).
fof(f76,definition,
( sQ5_spl
<=> less_or_equalish(b,b) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f78,plain,
( sQ5_spl
| ~ less_or_equalish(b,b) ),
inference(component_clause,[status(thm)],[f76]) ).
fof(f79,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f74,f44,f76,f47]) ).
fof(f80,definition,
( sQ6_spl
<=> less_or_equalish(b,a) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( sQ6_spl
| ~ less_or_equalish(b,a) ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f97,plain,
( ~ sQ3_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f31,f68]) ).
fof(f98,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f97]) ).
fof(f99,plain,
( ~ sQ4_spl
| ~ less_or_equalish(a,a)
| ~ less_or_equalish(b,a)
| ~ less_or_equalish(a,a) ),
inference(resolution,[status(thm)],[f71,f32]) ).
fof(f100,definition,
( sQ7_spl
<=> less_or_equalish(a,a) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( sQ7_spl
| ~ less_or_equalish(a,a) ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,plain,
( ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f99,f100,f80,f70]) ).
fof(f104,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f78,f25]) ).
fof(f105,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f104]) ).
fof(f106,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f102,f25]) ).
fof(f107,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f106]) ).
fof(f114,plain,
( sQ6_spl
| sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f82,f60]) ).
fof(f115,plain,
( sQ6_spl
| sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f114]) ).
fof(f116,plain,
$false,
inference(sat_refutation,[status(thm)],[f50,f73,f79,f98,f103,f105,f107,f115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 08:24:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.055954 seconds
% 0.14/0.42 % CPU time: 0.163084 seconds
% 0.14/0.42 % Total memory used: 17.357 MB
% 0.14/0.42 % Net memory used: 16.921 MB
%------------------------------------------------------------------------------