%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MSC008-2.002 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 01:28:14 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 39 ( 5 unt; 2 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 121 ( 60 ~; 59 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 76 ( 76 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
~ eq(p1,p2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B,C,D] :
( eq(D,A)
| ~ latin(D,B,C)
| ~ latin(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B,C,D] :
( eq(D,A)
| ~ greek(D,B,C)
| ~ greek(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [E,F] :
( latin(E,F,p2)
| latin(E,F,p1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [G,H] :
( latin(G,p2,H)
| latin(G,p1,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [K,L] :
( greek(K,L,p2)
| greek(K,L,p1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [M,N] :
( greek(M,p2,N)
| greek(M,p1,N) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [A,B,C,D,E,F] :
( eq(E,A)
| eq(F,B)
| ~ latin(E,F,D)
| ~ greek(E,F,C)
| ~ latin(A,B,D)
| ~ greek(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,plain,
~ eq(p1,p2),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f24,plain,
! [A,D] :
( eq(D,A)
| ! [B,C] :
( ~ latin(D,B,C)
| ~ latin(A,B,C) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( eq(X3,X0)
| ~ latin(X3,X1,X2)
| ~ latin(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f30,plain,
! [A,D] :
( eq(D,A)
| ! [B,C] :
( ~ greek(D,B,C)
| ~ greek(A,B,C) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f31,plain,
! [X0,X1,X2,X3] :
( eq(X3,X0)
| ~ greek(X3,X1,X2)
| ~ greek(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( latin(X0,X1,p2)
| latin(X0,X1,p1) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f33,plain,
! [X0,X1] :
( latin(X0,p2,X1)
| latin(X0,p1,X1) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f35,plain,
! [X0,X1] :
( greek(X0,X1,p2)
| greek(X0,X1,p1) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f36,plain,
! [X0,X1] :
( greek(X0,p2,X1)
| greek(X0,p1,X1) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f38,plain,
! [A,E] :
( eq(E,A)
| ! [B,F] :
( eq(F,B)
| ! [D] :
( ~ latin(E,F,D)
| ! [C] :
( ~ greek(E,F,C)
| ~ latin(A,B,D)
| ~ greek(A,B,C) ) ) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4,X5] :
( eq(X4,X0)
| eq(X5,X1)
| ~ latin(X4,X5,X3)
| ~ greek(X4,X5,X2)
| ~ latin(X0,X1,X3)
| ~ greek(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( ~ greek(p1,X0,X1)
| ~ greek(p2,X0,X1) ),
inference(resolution,[status(thm)],[f17,f31]) ).
fof(f43,plain,
! [X0,X1] :
( ~ latin(p1,X0,X1)
| ~ latin(p2,X0,X1) ),
inference(resolution,[status(thm)],[f17,f25]) ).
fof(f47,plain,
! [X0,X1,X2,X3] :
( eq(X3,X0)
| ~ latin(X3,p1,X2)
| ~ greek(X3,p1,X1)
| ~ latin(X0,p2,X2)
| ~ greek(X0,p2,X1) ),
inference(resolution,[status(thm)],[f17,f39]) ).
fof(f50,plain,
! [X0] :
( ~ greek(p1,p1,X0)
| greek(p2,p2,X0) ),
inference(resolution,[status(thm)],[f36,f40]) ).
fof(f52,plain,
! [X0,X1] :
( ~ latin(p1,p1,X1)
| ~ greek(p1,p1,X0)
| ~ latin(p2,p2,X1)
| ~ greek(p2,p2,X0) ),
inference(resolution,[status(thm)],[f47,f17]) ).
fof(f53,definition,
! [X0] :
( sQ0_spl
<=> ( ~ greek(p1,p1,X0)
| ~ greek(p2,p2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f54,plain,
! [X0] :
( ~ sQ0_spl
| ~ greek(p1,p1,X0)
| ~ greek(p2,p2,X0) ),
inference(component_clause,[status(thm)],[f53]) ).
fof(f56,definition,
! [X1] :
( sQ1_spl
<=> ( ~ latin(p1,p1,X1)
| ~ latin(p2,p2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f57,plain,
! [X0] :
( ~ sQ1_spl
| ~ latin(p1,p1,X0)
| ~ latin(p2,p2,X0) ),
inference(component_clause,[status(thm)],[f56]) ).
fof(f59,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f52,f53,f56]) ).
fof(f60,plain,
! [X0] :
( ~ sQ0_spl
| ~ greek(p1,p1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f54,f50]) ).
fof(f63,plain,
( ~ sQ0_spl
| greek(p1,p1,p1) ),
inference(resolution,[status(thm)],[f60,f35]) ).
fof(f64,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f63,f60]) ).
fof(f65,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f64]) ).
fof(f76,plain,
! [X0] :
( latin(p1,p1,X0)
| ~ latin(p2,p2,X0) ),
inference(resolution,[status(thm)],[f43,f33]) ).
fof(f78,plain,
! [X0] :
( ~ sQ1_spl
| ~ latin(p2,p2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f76,f57]) ).
fof(f113,plain,
( ~ sQ1_spl
| latin(p2,p2,p1) ),
inference(resolution,[status(thm)],[f78,f32]) ).
fof(f114,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f113,f78]) ).
fof(f115,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f114]) ).
fof(f116,plain,
$false,
inference(sat_refutation,[status(thm)],[f59,f65,f115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC008-2.002 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n001.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 01:32:59 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.057482 seconds
% 0.13/0.42 % CPU time: 0.161394 seconds
% 0.13/0.42 % Total memory used: 9.948 MB
% 0.13/0.42 % Net memory used: 9.738 MB
%------------------------------------------------------------------------------