%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU420+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 02:20:31 PM UTC 2026
% Result : Theorem 31.85s 7.82s
% Output : CNFRefutation 18.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 13 unt; 0 def)
% Number of atoms : 77 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 82 ( 39 ~; 26 |; 7 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 54 ( 48 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,axiom,
! [A,B] : k3_xboole_0(A,B) = k3_xboole_0(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f86,axiom,
! [A,B] : r1_tarski(k3_xboole_0(A,B),A),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f700,axiom,
! [A,B] :
( v1_relat_1(B)
=> ( r1_tarski(A,B)
=> v1_relat_1(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f866,axiom,
! [A,B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> ( r1_tarski(B,C)
=> r1_tarski(k9_relat_1(B,A),k9_relat_1(C,A)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19081,conjecture,
! [A,B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> r1_tarski(k9_relat_1(k3_xboole_0(B,C),k3_pua2mss1(A)),k3_xboole_0(k9_relat_1(B,k3_pua2mss1(A)),k9_relat_1(C,k3_pua2mss1(A)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19082,negated_conjecture,
~ ! [A,B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> r1_tarski(k9_relat_1(k3_xboole_0(B,C),k3_pua2mss1(A)),k3_xboole_0(k9_relat_1(B,k3_pua2mss1(A)),k9_relat_1(C,k3_pua2mss1(A)))) ) ),
inference(negated_conjecture,[status(cth)],[f19081]) ).
fof(f19291,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f19342,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f19346,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(f19347,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)],[f19346]) ).
fof(f20611,plain,
! [A,B] :
( v1_relat_1(A)
| ~ r1_tarski(A,B)
| ~ v1_relat_1(B) ),
inference(pre_NNF_transformation,[status(thm)],[f700]) ).
fof(f20612,plain,
! [B] :
( ! [A] :
( v1_relat_1(A)
| ~ r1_tarski(A,B) )
| ~ v1_relat_1(B) ),
inference(miniscoping,[status(thm)],[f20611]) ).
fof(f20613,plain,
! [X0,X1] :
( v1_relat_1(X1)
| ~ r1_tarski(X1,X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f20612]) ).
fof(f21068,plain,
! [A,B] :
( ! [C] :
( r1_tarski(k9_relat_1(B,A),k9_relat_1(C,A))
| ~ r1_tarski(B,C)
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) ),
inference(pre_NNF_transformation,[status(thm)],[f866]) ).
fof(f21069,plain,
! [B] :
( ! [C] :
( ! [A] : r1_tarski(k9_relat_1(B,A),k9_relat_1(C,A))
| ~ r1_tarski(B,C)
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) ),
inference(miniscoping,[status(thm)],[f21068]) ).
fof(f21070,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X0,X2),k9_relat_1(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f21069]) ).
fof(f89239,plain,
? [A,B] :
( ? [C] :
( ~ r1_tarski(k9_relat_1(k3_xboole_0(B,C),k3_pua2mss1(A)),k3_xboole_0(k9_relat_1(B,k3_pua2mss1(A)),k9_relat_1(C,k3_pua2mss1(A))))
& v1_relat_1(C) )
& v1_relat_1(B) ),
inference(pre_NNF_transformation,[status(thm)],[f19082]) ).
fof(f89240,plain,
? [B] :
( ? [C] :
( ? [A] : ~ r1_tarski(k9_relat_1(k3_xboole_0(B,C),k3_pua2mss1(A)),k3_xboole_0(k9_relat_1(B,k3_pua2mss1(A)),k9_relat_1(C,k3_pua2mss1(A))))
& v1_relat_1(C) )
& v1_relat_1(B) ),
inference(miniscoping,[status(thm)],[f89239]) ).
fof(f89241,plain,
( ~ r1_tarski(k9_relat_1(k3_xboole_0(sK6521_skl,sK6522_skl),k3_pua2mss1(sK6523_skl)),k3_xboole_0(k9_relat_1(sK6521_skl,k3_pua2mss1(sK6523_skl)),k9_relat_1(sK6522_skl,k3_pua2mss1(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(B,sK6521_skl),skolemize(C,sK6522_skl),skolemize(A,sK6523_skl)],[f89240]) ).
fof(f89242,plain,
v1_relat_1(sK6521_skl),
inference(cnf_transformation,[status(thm)],[f89241]) ).
fof(f89243,plain,
v1_relat_1(sK6522_skl),
inference(cnf_transformation,[status(thm)],[f89241]) ).
fof(f89244,plain,
~ r1_tarski(k9_relat_1(k3_xboole_0(sK6521_skl,sK6522_skl),k3_pua2mss1(sK6523_skl)),k3_xboole_0(k9_relat_1(sK6521_skl,k3_pua2mss1(sK6523_skl)),k9_relat_1(sK6522_skl,k3_pua2mss1(sK6523_skl)))),
inference(cnf_transformation,[status(thm)],[f89241]) ).
fof(f100708,plain,
~ r1_tarski(k9_relat_1(k3_xboole_0(sK6521_skl,sK6522_skl),k3_pua2mss1(sK6523_skl)),k3_xboole_0(k9_relat_1(sK6522_skl,k3_pua2mss1(sK6523_skl)),k9_relat_1(sK6521_skl,k3_pua2mss1(sK6523_skl)))),
inference(paramodulation,[status(thm)],[f19291,f89244]) ).
fof(f100711,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X1),
inference(paramodulation,[status(thm)],[f19291,f19342]) ).
fof(f100754,plain,
~ r1_tarski(k9_relat_1(k3_xboole_0(sK6522_skl,sK6521_skl),k3_pua2mss1(sK6523_skl)),k3_xboole_0(k9_relat_1(sK6522_skl,k3_pua2mss1(sK6523_skl)),k9_relat_1(sK6521_skl,k3_pua2mss1(sK6523_skl)))),
inference(paramodulation,[status(thm)],[f19291,f100708]) ).
fof(f100852,plain,
( ~ r1_tarski(k9_relat_1(k3_xboole_0(sK6522_skl,sK6521_skl),k3_pua2mss1(sK6523_skl)),k9_relat_1(sK6521_skl,k3_pua2mss1(sK6523_skl)))
| ~ r1_tarski(k9_relat_1(k3_xboole_0(sK6522_skl,sK6521_skl),k3_pua2mss1(sK6523_skl)),k9_relat_1(sK6522_skl,k3_pua2mss1(sK6523_skl))) ),
inference(resolution,[status(thm)],[f19347,f100754]) ).
fof(f103591,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X0,X2))
| ~ r1_tarski(X1,X0)
| ~ v1_relat_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f21070,f20613]) ).
fof(f103592,plain,
( ~ r1_tarski(k9_relat_1(k3_xboole_0(sK6522_skl,sK6521_skl),k3_pua2mss1(sK6523_skl)),k9_relat_1(sK6522_skl,k3_pua2mss1(sK6523_skl)))
| ~ r1_tarski(k3_xboole_0(sK6522_skl,sK6521_skl),sK6521_skl)
| ~ v1_relat_1(sK6521_skl) ),
inference(resolution,[status(thm)],[f103591,f100852]) ).
fof(f103600,plain,
( ~ r1_tarski(k9_relat_1(k3_xboole_0(sK6522_skl,sK6521_skl),k3_pua2mss1(sK6523_skl)),k9_relat_1(sK6522_skl,k3_pua2mss1(sK6523_skl)))
| ~ r1_tarski(k3_xboole_0(sK6522_skl,sK6521_skl),sK6521_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f103592,f89242]) ).
fof(f103664,plain,
~ r1_tarski(k9_relat_1(k3_xboole_0(sK6522_skl,sK6521_skl),k3_pua2mss1(sK6523_skl)),k9_relat_1(sK6522_skl,k3_pua2mss1(sK6523_skl))),
inference(forward_subsumption_resolution,[status(thm)],[f103600,f100711]) ).
fof(f103665,plain,
( ~ r1_tarski(k3_xboole_0(sK6522_skl,sK6521_skl),sK6522_skl)
| ~ v1_relat_1(sK6522_skl) ),
inference(resolution,[status(thm)],[f103664,f103591]) ).
fof(f103666,plain,
~ r1_tarski(k3_xboole_0(sK6522_skl,sK6521_skl),sK6522_skl),
inference(forward_subsumption_resolution,[status(thm)],[f103665,f89243]) ).
fof(f103667,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f103666,f19342]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU420+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n017.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Mon Sep 21 06:20:43 UTC 2026
% 0.15/0.42 % CPUTime :
% 3.97/4.21 % Drodi V4.1.1
% 31.85/7.82 % Refutation found
% 31.85/7.82 % SZS status Theorem for theBenchmark: Theorem is valid
% 31.85/7.82 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.00/8.43 % Elapsed time: 7.940901 seconds
% 5.00/8.43 % CPU time: 33.032015 seconds
% 5.00/8.43 % Total memory used: 5.369 GB
% 5.00/8.43 % Net memory used: 5.319 GB
%------------------------------------------------------------------------------