%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU444+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 02:20:39 PM UTC 2026
% Result : Theorem 141.04s 33.56s
% Output : CNFRefutation 64.98s
% 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(f1461,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f71133,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f71138,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f71139,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)],[f71138]) ).
fof(f74713,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)],[f1461]) ).
fof(f74714,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)],[f74713]) ).
fof(f336135,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)],[f71133]) ).
fof(f336136,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)],[f336135]) ).
fof(f336137,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)],[f336135]) ).
fof(f336156,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)],[f71139]) ).
fof(f336157,plain,
( ( k10_relset_1(sK23841_skl,sK23842_skl,k6_relset_1(sK23842_skl,sK23841_skl,sK23843_skl),k10_relset_1(sK23842_skl,sK23841_skl,sK23843_skl,sK23842_skl)) != k10_relset_1(sK23841_skl,sK23842_skl,k6_relset_1(sK23842_skl,sK23841_skl,sK23843_skl),k2_funct_5(sK23843_skl))
| k1_funct_5(sK23843_skl) != k10_relset_1(sK23841_skl,sK23842_skl,k6_relset_1(sK23842_skl,sK23841_skl,sK23843_skl),sK23841_skl) )
& m2_relset_1(sK23843_skl,sK23842_skl,sK23841_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23841_skl,sK23842_skl,sK23843_skl]),skolemize(A,sK23841_skl),skolemize(B,sK23842_skl),skolemize(C,sK23843_skl)],[f336156]) ).
fof(f336158,plain,
m2_relset_1(sK23843_skl,sK23842_skl,sK23841_skl),
inference(cnf_transformation,[status(thm)],[f336157]) ).
fof(f336159,plain,
( k10_relset_1(sK23841_skl,sK23842_skl,k6_relset_1(sK23842_skl,sK23841_skl,sK23843_skl),k10_relset_1(sK23842_skl,sK23841_skl,sK23843_skl,sK23842_skl)) != k10_relset_1(sK23841_skl,sK23842_skl,k6_relset_1(sK23842_skl,sK23841_skl,sK23843_skl),k2_funct_5(sK23843_skl))
| k1_funct_5(sK23843_skl) != k10_relset_1(sK23841_skl,sK23842_skl,k6_relset_1(sK23842_skl,sK23841_skl,sK23843_skl),sK23841_skl) ),
inference(cnf_transformation,[status(thm)],[f336157]) ).
fof(f371073,plain,
k10_relset_1(sK23842_skl,sK23841_skl,sK23843_skl,sK23842_skl) = k5_relset_1(sK23842_skl,sK23841_skl,sK23843_skl),
inference(resolution,[status(thm)],[f74714,f336158]) ).
fof(f371088,plain,
( k10_relset_1(sK23841_skl,sK23842_skl,k6_relset_1(sK23842_skl,sK23841_skl,sK23843_skl),k5_relset_1(sK23842_skl,sK23841_skl,sK23843_skl)) != k10_relset_1(sK23841_skl,sK23842_skl,k6_relset_1(sK23842_skl,sK23841_skl,sK23843_skl),k2_funct_5(sK23843_skl))
| k1_funct_5(sK23843_skl) != k10_relset_1(sK23841_skl,sK23842_skl,k6_relset_1(sK23842_skl,sK23841_skl,sK23843_skl),sK23841_skl) ),
inference(backward_demodulation,[status(thm)],[f371073,f336159]) ).
fof(f372953,plain,
k1_funct_5(sK23843_skl) = k10_relset_1(sK23841_skl,sK23842_skl,k6_relset_1(sK23842_skl,sK23841_skl,sK23843_skl),sK23841_skl),
inference(resolution,[status(thm)],[f336136,f336158]) ).
fof(f372986,plain,
k2_funct_5(sK23843_skl) = k10_relset_1(sK23842_skl,sK23841_skl,sK23843_skl,sK23842_skl),
inference(resolution,[status(thm)],[f336137,f336158]) ).
fof(f373018,plain,
k2_funct_5(sK23843_skl) = k5_relset_1(sK23842_skl,sK23841_skl,sK23843_skl),
inference(backward_demodulation,[status(thm)],[f372986,f371073]) ).
fof(f373019,plain,
( k10_relset_1(sK23841_skl,sK23842_skl,k6_relset_1(sK23842_skl,sK23841_skl,sK23843_skl),k2_funct_5(sK23843_skl)) != k10_relset_1(sK23841_skl,sK23842_skl,k6_relset_1(sK23842_skl,sK23841_skl,sK23843_skl),k2_funct_5(sK23843_skl))
| k1_funct_5(sK23843_skl) != k10_relset_1(sK23841_skl,sK23842_skl,k6_relset_1(sK23842_skl,sK23841_skl,sK23843_skl),sK23841_skl) ),
inference(backward_demodulation,[status(thm)],[f373018,f371088]) ).
fof(f373021,plain,
k1_funct_5(sK23843_skl) != k10_relset_1(sK23841_skl,sK23842_skl,k6_relset_1(sK23842_skl,sK23841_skl,sK23843_skl),sK23841_skl),
inference(trivial_equality_resolution,[status(thm)],[f373019]) ).
fof(f373147,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f372953,f373021]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU444+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n007.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 06:31:21 UTC 2026
% 0.17/0.43 % CPUTime :
% 15.67/15.90 % Drodi V4.1.1
% 141.04/33.56 % Refutation found
% 141.04/33.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 141.04/33.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 64.98/36.21 % Elapsed time: 34.380641 seconds
% 64.98/36.21 % CPU time: 131.893131 seconds
% 64.98/36.21 % Total memory used: 19.776 GB
% 64.98/36.21 % Net memory used: 19.625 GB
%------------------------------------------------------------------------------