%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU418+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 : n014.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 02:20:30 PM UTC 2026
% Result : Theorem 17.28s 11.37s
% Output : CNFRefutation 20.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 11 unt; 0 def)
% Number of atoms : 87 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 100 ( 46 ~; 34 |; 7 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 45 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,axiom,
! [A,B] : k3_xboole_0(A,B) = k3_xboole_0(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f86,axiom,
! [A,B] : r1_tarski(k3_xboole_0(A,B),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f88,axiom,
! [A,B,C] :
( ( r1_tarski(A,C)
& r1_tarski(A,B) )
=> r1_tarski(A,k3_xboole_0(B,C)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f700,axiom,
! [A,B] :
( v1_relat_1(B)
=> ( r1_tarski(A,B)
=> v1_relat_1(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f753,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> ( r1_tarski(A,B)
=> r1_tarski(k5_relat_1(A,C),k5_relat_1(B,C)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19075,conjecture,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> r1_tarski(k5_relat_1(k3_xboole_0(A,B),C),k3_xboole_0(k5_relat_1(A,C),k5_relat_1(B,C))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19076,negated_conjecture,
~ ! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> r1_tarski(k5_relat_1(k3_xboole_0(A,B),C),k3_xboole_0(k5_relat_1(A,C),k5_relat_1(B,C))) ) ) ),
inference(negated_conjecture,[status(cth)],[f19075]) ).
fof(f19285,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f19336,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f19340,plain,
! [A,B,C] :
( r1_tarski(A,k3_xboole_0(B,C))
| ~ r1_tarski(A,C)
| ~ r1_tarski(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f88]) ).
fof(f19341,plain,
! [X0,X1,X2] :
( r1_tarski(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f19340]) ).
fof(f20605,plain,
! [A,B] :
( v1_relat_1(A)
| ~ r1_tarski(A,B)
| ~ v1_relat_1(B) ),
inference(pre_NNF_transformation,[status(thm)],[f700]) ).
fof(f20606,plain,
! [B] :
( ! [A] :
( v1_relat_1(A)
| ~ r1_tarski(A,B) )
| ~ v1_relat_1(B) ),
inference(miniscoping,[status(thm)],[f20605]) ).
fof(f20607,plain,
! [X0,X1] :
( v1_relat_1(X1)
| ~ r1_tarski(X1,X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f20606]) ).
fof(f20743,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_tarski(k5_relat_1(A,C),k5_relat_1(B,C))
| ~ r1_tarski(A,B)
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f753]) ).
fof(f20744,plain,
! [X0,X1,X2] :
( r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f20743]) ).
fof(f89215,plain,
? [A] :
( ? [B] :
( ? [C] :
( ~ r1_tarski(k5_relat_1(k3_xboole_0(A,B),C),k3_xboole_0(k5_relat_1(A,C),k5_relat_1(B,C)))
& v1_relat_1(C) )
& v1_relat_1(B) )
& v1_relat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f19076]) ).
fof(f89216,plain,
( ~ r1_tarski(k5_relat_1(k3_xboole_0(sK6521_skl,sK6522_skl),sK6523_skl),k3_xboole_0(k5_relat_1(sK6521_skl,sK6523_skl),k5_relat_1(sK6522_skl,sK6523_skl)))
& v1_relat_1(sK6523_skl)
& v1_relat_1(sK6522_skl)
& v1_relat_1(sK6521_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6521_skl,sK6522_skl,sK6523_skl]),skolemize(A,sK6521_skl),skolemize(B,sK6522_skl),skolemize(C,sK6523_skl)],[f89215]) ).
fof(f89217,plain,
v1_relat_1(sK6521_skl),
inference(cnf_transformation,[status(thm)],[f89216]) ).
fof(f89218,plain,
v1_relat_1(sK6522_skl),
inference(cnf_transformation,[status(thm)],[f89216]) ).
fof(f89219,plain,
v1_relat_1(sK6523_skl),
inference(cnf_transformation,[status(thm)],[f89216]) ).
fof(f89220,plain,
~ r1_tarski(k5_relat_1(k3_xboole_0(sK6521_skl,sK6522_skl),sK6523_skl),k3_xboole_0(k5_relat_1(sK6521_skl,sK6523_skl),k5_relat_1(sK6522_skl,sK6523_skl))),
inference(cnf_transformation,[status(thm)],[f89216]) ).
fof(f100679,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X1),
inference(paramodulation,[status(thm)],[f19285,f19336]) ).
fof(f100840,plain,
( ~ r1_tarski(k5_relat_1(k3_xboole_0(sK6521_skl,sK6522_skl),sK6523_skl),k5_relat_1(sK6522_skl,sK6523_skl))
| ~ r1_tarski(k5_relat_1(k3_xboole_0(sK6521_skl,sK6522_skl),sK6523_skl),k5_relat_1(sK6521_skl,sK6523_skl)) ),
inference(resolution,[status(thm)],[f19341,f89220]) ).
fof(f103425,plain,
! [X0,X1,X2] :
( r1_tarski(k5_relat_1(X2,X1),k5_relat_1(X0,X1))
| ~ r1_tarski(X2,X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f20744,f20607]) ).
fof(f103430,plain,
( ~ r1_tarski(k5_relat_1(k3_xboole_0(sK6521_skl,sK6522_skl),sK6523_skl),k5_relat_1(sK6521_skl,sK6523_skl))
| ~ r1_tarski(k3_xboole_0(sK6521_skl,sK6522_skl),sK6522_skl)
| ~ v1_relat_1(sK6523_skl)
| ~ v1_relat_1(sK6522_skl) ),
inference(resolution,[status(thm)],[f103425,f100840]) ).
fof(f103452,plain,
( ~ r1_tarski(k5_relat_1(k3_xboole_0(sK6521_skl,sK6522_skl),sK6523_skl),k5_relat_1(sK6521_skl,sK6523_skl))
| ~ r1_tarski(k3_xboole_0(sK6521_skl,sK6522_skl),sK6522_skl)
| ~ v1_relat_1(sK6523_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f103430,f89218]) ).
fof(f103571,plain,
( ~ r1_tarski(k5_relat_1(k3_xboole_0(sK6521_skl,sK6522_skl),sK6523_skl),k5_relat_1(sK6521_skl,sK6523_skl))
| ~ r1_tarski(k3_xboole_0(sK6521_skl,sK6522_skl),sK6522_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f103452,f89219]) ).
fof(f103573,plain,
( ~ r1_tarski(k3_xboole_0(sK6521_skl,sK6522_skl),sK6521_skl)
| ~ v1_relat_1(sK6523_skl)
| ~ v1_relat_1(sK6521_skl)
| ~ r1_tarski(k3_xboole_0(sK6521_skl,sK6522_skl),sK6522_skl) ),
inference(resolution,[status(thm)],[f103571,f103425]) ).
fof(f103577,plain,
( ~ r1_tarski(k3_xboole_0(sK6521_skl,sK6522_skl),sK6521_skl)
| ~ v1_relat_1(sK6523_skl)
| ~ v1_relat_1(sK6521_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f103573,f100679]) ).
fof(f103770,plain,
( ~ r1_tarski(k3_xboole_0(sK6521_skl,sK6522_skl),sK6521_skl)
| ~ v1_relat_1(sK6523_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f103577,f89217]) ).
fof(f103772,plain,
~ v1_relat_1(sK6523_skl),
inference(resolution,[status(thm)],[f103770,f19336]) ).
fof(f103775,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f103772,f89219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU418+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.44 % Computer : n014.cluster.edu
% 0.16/5.44 % Model : x86_64 x86_64
% 0.16/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.44 % Memory : 8046.5625MB
% 0.16/5.44 % OS : Linux 6.8.0-71-generic
% 0.16/5.44 % CPULimit : 300
% 0.16/5.44 % WCLimit : 300
% 0.16/5.44 % DateTime : Mon Sep 21 06:24:59 UTC 2026
% 0.16/5.44 % CPUTime :
% 4.03/9.39 % Drodi V4.1.1
% 17.28/11.37 % Refutation found
% 17.28/11.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 17.28/11.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.65/12.02 % Elapsed time: 6.470789 seconds
% 4.65/12.02 % CPU time: 20.047175 seconds
% 4.65/12.02 % Total memory used: 5.325 GB
% 4.65/12.02 % Net memory used: 5.289 GB
%------------------------------------------------------------------------------