%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU444+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 15.71s 5.10s
% Output : CNFRefutation 17.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 43 ( 30 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 39 ( 17 ~; 10 |; 8 &)
% ( 0 <=>; 4 =>; 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 : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 30 ( 27 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1372,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> ( k11_relset_1(A,B,C,B) = k4_relset_1(A,B,C)
& k10_relset_1(A,B,C,A) = k5_relset_1(A,B,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19122,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(f19127,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(f19128,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)],[f19127]) ).
fof(f22574,plain,
! [A,B,C] :
( ( k11_relset_1(A,B,C,B) = k4_relset_1(A,B,C)
& k10_relset_1(A,B,C,A) = k5_relset_1(A,B,C) )
| ~ m2_relset_1(C,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f1372]) ).
fof(f22575,plain,
! [X0,X1,X2] :
( k10_relset_1(X1,X2,X0,X1) = k5_relset_1(X1,X2,X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f22574]) ).
fof(f89432,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)],[f19122]) ).
fof(f89433,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)],[f89432]) ).
fof(f89434,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)],[f89432]) ).
fof(f89453,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)],[f19128]) ).
fof(f89454,plain,
( ( k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),k10_relset_1(sK6529_skl,sK6528_skl,sK6530_skl,sK6529_skl)) != k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),k2_funct_5(sK6530_skl))
| k1_funct_5(sK6530_skl) != k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),sK6528_skl) )
& m2_relset_1(sK6530_skl,sK6529_skl,sK6528_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6528_skl,sK6529_skl,sK6530_skl]),skolemize(A,sK6528_skl),skolemize(B,sK6529_skl),skolemize(C,sK6530_skl)],[f89453]) ).
fof(f89455,plain,
m2_relset_1(sK6530_skl,sK6529_skl,sK6528_skl),
inference(cnf_transformation,[status(thm)],[f89454]) ).
fof(f89456,plain,
( k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),k10_relset_1(sK6529_skl,sK6528_skl,sK6530_skl,sK6529_skl)) != k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),k2_funct_5(sK6530_skl))
| k1_funct_5(sK6530_skl) != k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),sK6528_skl) ),
inference(cnf_transformation,[status(thm)],[f89454]) ).
fof(f100900,plain,
k10_relset_1(sK6529_skl,sK6528_skl,sK6530_skl,sK6529_skl) = k5_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),
inference(resolution,[status(thm)],[f22575,f89455]) ).
fof(f100909,plain,
( k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),k5_relset_1(sK6529_skl,sK6528_skl,sK6530_skl)) != k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),k2_funct_5(sK6530_skl))
| k1_funct_5(sK6530_skl) != k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),sK6528_skl) ),
inference(backward_demodulation,[status(thm)],[f100900,f89456]) ).
fof(f101423,plain,
k1_funct_5(sK6530_skl) = k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),sK6528_skl),
inference(resolution,[status(thm)],[f89433,f89455]) ).
fof(f101424,plain,
k2_funct_5(sK6530_skl) = k10_relset_1(sK6529_skl,sK6528_skl,sK6530_skl,sK6529_skl),
inference(resolution,[status(thm)],[f89434,f89455]) ).
fof(f101425,plain,
k2_funct_5(sK6530_skl) = k5_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),
inference(forward_demodulation,[status(thm)],[f100900,f101424]) ).
fof(f101474,plain,
( k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),k2_funct_5(sK6530_skl)) != k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),k2_funct_5(sK6530_skl))
| k1_funct_5(sK6530_skl) != k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),sK6528_skl) ),
inference(backward_demodulation,[status(thm)],[f101425,f100909]) ).
fof(f101476,plain,
k1_funct_5(sK6530_skl) != k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),sK6528_skl),
inference(trivial_equality_resolution,[status(thm)],[f101474]) ).
fof(f101527,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f101423,f101476]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU444+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 06:33:28 UTC 2026
% 0.10/0.37 % CPUTime :
% 3.07/3.38 % Drodi V4.1.1
% 15.71/5.10 % Refutation found
% 15.71/5.10 % SZS status Theorem for theBenchmark: Theorem is valid
% 15.71/5.10 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.50/5.87 % Elapsed time: 5.412944 seconds
% 3.50/5.87 % CPU time: 17.114720 seconds
% 3.50/5.87 % Total memory used: 5.316 GB
% 3.50/5.87 % Net memory used: 5.282 GB
%------------------------------------------------------------------------------