%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU444+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 02:20:38 PM UTC 2026
% Result : Theorem 0.13s 0.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 32 ( 22 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 30 ( 14 ~; 7 |; 6 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 21 ( 18 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A,B,C] :
( m2_relset_1(C,B,A)
=> ( k10_relset_1(A,B,k6_relset_1(B,A,C),k10_relset_1(B,A,C,B)) = k10_relset_1(A,B,k6_relset_1(B,A,C),k2_funct_5(C))
& k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A,B,C] :
( m2_relset_1(C,B,A)
=> ( k10_relset_1(A,B,k6_relset_1(B,A,C),k10_relset_1(B,A,C,B)) = k10_relset_1(A,B,k6_relset_1(B,A,C),k2_funct_5(C))
& k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f46,axiom,
! [A,B,C] :
( m2_relset_1(C,B,A)
=> ( k2_funct_5(C) = k10_relset_1(B,A,C,B)
& k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,plain,
? [A,B,C] :
( ( k10_relset_1(A,B,k6_relset_1(B,A,C),k10_relset_1(B,A,C,B)) != k10_relset_1(A,B,k6_relset_1(B,A,C),k2_funct_5(C))
| k1_funct_5(C) != k10_relset_1(A,B,k6_relset_1(B,A,C),A) )
& m2_relset_1(C,B,A) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( ( k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),k10_relset_1(sK1_skl,sK0_skl,sK2_skl,sK1_skl)) != k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),k2_funct_5(sK2_skl))
| k1_funct_5(sK2_skl) != k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),sK0_skl) )
& m2_relset_1(sK2_skl,sK1_skl,sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl)],[f47]) ).
fof(f49,plain,
m2_relset_1(sK2_skl,sK1_skl,sK0_skl),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f50,plain,
( k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),k10_relset_1(sK1_skl,sK0_skl,sK2_skl,sK1_skl)) != k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),k2_funct_5(sK2_skl))
| k1_funct_5(sK2_skl) != k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f138,plain,
! [A,B,C] :
( ( k2_funct_5(C) = k10_relset_1(B,A,C,B)
& k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A) )
| ~ m2_relset_1(C,B,A) ),
inference(pre_NNF_transformation,[status(thm)],[f46]) ).
fof(f139,plain,
! [X0,X1,X2] :
( k1_funct_5(X0) = k10_relset_1(X2,X1,k6_relset_1(X1,X2,X0),X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f140,plain,
! [X0,X1,X2] :
( k2_funct_5(X0) = k10_relset_1(X1,X2,X0,X1)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f146,plain,
k1_funct_5(sK2_skl) = k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),sK0_skl),
inference(resolution,[status(thm)],[f139,f49]) ).
fof(f149,plain,
( k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),k10_relset_1(sK1_skl,sK0_skl,sK2_skl,sK1_skl)) != k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),k2_funct_5(sK2_skl))
| k1_funct_5(sK2_skl) != k1_funct_5(sK2_skl) ),
inference(backward_demodulation,[status(thm)],[f146,f50]) ).
fof(f150,plain,
k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),k10_relset_1(sK1_skl,sK0_skl,sK2_skl,sK1_skl)) != k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),k2_funct_5(sK2_skl)),
inference(trivial_equality_resolution,[status(thm)],[f149]) ).
fof(f152,plain,
k2_funct_5(sK2_skl) = k10_relset_1(sK1_skl,sK0_skl,sK2_skl,sK1_skl),
inference(resolution,[status(thm)],[f140,f49]) ).
fof(f158,plain,
k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),k2_funct_5(sK2_skl)) != k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),k2_funct_5(sK2_skl)),
inference(backward_demodulation,[status(thm)],[f152,f150]) ).
fof(f159,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU444+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 06:38:43 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.066581 seconds
% 0.13/0.43 % CPU time: 0.154288 seconds
% 0.13/0.43 % Total memory used: 81.495 MB
% 0.13/0.43 % Net memory used: 81.459 MB
%------------------------------------------------------------------------------