%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU420+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 100.89s 30.07s
% Output : CNFRefutation 79.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 11 unt; 0 def)
% Number of atoms : 75 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 80 ( 37 ~; 26 |; 7 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 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/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(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/sandbox/benchmark/theBenchmark.p') ).
fof(f71092,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/sandbox/benchmark/theBenchmark.p') ).
fof(f71093,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)],[f71092]) ).
fof(f71302,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f71353,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f71357,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(f71358,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)],[f71357]) ).
fof(f72622,plain,
! [A,B] :
( v1_relat_1(A)
| ~ r1_tarski(A,B)
| ~ v1_relat_1(B) ),
inference(pre_NNF_transformation,[status(thm)],[f700]) ).
fof(f72623,plain,
! [B] :
( ! [A] :
( v1_relat_1(A)
| ~ r1_tarski(A,B) )
| ~ v1_relat_1(B) ),
inference(miniscoping,[status(thm)],[f72622]) ).
fof(f72624,plain,
! [X0,X1] :
( v1_relat_1(X1)
| ~ r1_tarski(X1,X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f72623]) ).
fof(f73079,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(f73080,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)],[f73079]) ).
fof(f73081,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)],[f73080]) ).
fof(f335942,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)],[f71093]) ).
fof(f335943,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)],[f335942]) ).
fof(f335944,plain,
( ~ r1_tarski(k9_relat_1(k3_xboole_0(sK23834_skl,sK23835_skl),k3_pua2mss1(sK23836_skl)),k3_xboole_0(k9_relat_1(sK23834_skl,k3_pua2mss1(sK23836_skl)),k9_relat_1(sK23835_skl,k3_pua2mss1(sK23836_skl))))
& v1_relat_1(sK23835_skl)
& v1_relat_1(sK23834_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23834_skl,sK23835_skl,sK23836_skl]),skolemize(B,sK23834_skl),skolemize(C,sK23835_skl),skolemize(A,sK23836_skl)],[f335943]) ).
fof(f335945,plain,
v1_relat_1(sK23834_skl),
inference(cnf_transformation,[status(thm)],[f335944]) ).
fof(f335946,plain,
v1_relat_1(sK23835_skl),
inference(cnf_transformation,[status(thm)],[f335944]) ).
fof(f335947,plain,
~ r1_tarski(k9_relat_1(k3_xboole_0(sK23834_skl,sK23835_skl),k3_pua2mss1(sK23836_skl)),k3_xboole_0(k9_relat_1(sK23834_skl,k3_pua2mss1(sK23836_skl)),k9_relat_1(sK23835_skl,k3_pua2mss1(sK23836_skl)))),
inference(cnf_transformation,[status(thm)],[f335944]) ).
fof(f387102,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X1),
inference(paramodulation,[status(thm)],[f71302,f71353]) ).
fof(f387385,plain,
( ~ r1_tarski(k9_relat_1(k3_xboole_0(sK23834_skl,sK23835_skl),k3_pua2mss1(sK23836_skl)),k9_relat_1(sK23835_skl,k3_pua2mss1(sK23836_skl)))
| ~ r1_tarski(k9_relat_1(k3_xboole_0(sK23834_skl,sK23835_skl),k3_pua2mss1(sK23836_skl)),k9_relat_1(sK23834_skl,k3_pua2mss1(sK23836_skl))) ),
inference(resolution,[status(thm)],[f71358,f335947]) ).
fof(f392175,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)],[f73081,f72624]) ).
fof(f392176,plain,
( ~ r1_tarski(k9_relat_1(k3_xboole_0(sK23834_skl,sK23835_skl),k3_pua2mss1(sK23836_skl)),k9_relat_1(sK23834_skl,k3_pua2mss1(sK23836_skl)))
| ~ r1_tarski(k3_xboole_0(sK23834_skl,sK23835_skl),sK23835_skl)
| ~ v1_relat_1(sK23835_skl) ),
inference(resolution,[status(thm)],[f392175,f387385]) ).
fof(f392188,plain,
( ~ r1_tarski(k9_relat_1(k3_xboole_0(sK23834_skl,sK23835_skl),k3_pua2mss1(sK23836_skl)),k9_relat_1(sK23834_skl,k3_pua2mss1(sK23836_skl)))
| ~ r1_tarski(k3_xboole_0(sK23834_skl,sK23835_skl),sK23835_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f392176,f335946]) ).
fof(f392215,plain,
~ r1_tarski(k9_relat_1(k3_xboole_0(sK23834_skl,sK23835_skl),k3_pua2mss1(sK23836_skl)),k9_relat_1(sK23834_skl,k3_pua2mss1(sK23836_skl))),
inference(forward_subsumption_resolution,[status(thm)],[f392188,f387102]) ).
fof(f392217,plain,
( ~ r1_tarski(k3_xboole_0(sK23834_skl,sK23835_skl),sK23834_skl)
| ~ v1_relat_1(sK23834_skl) ),
inference(resolution,[status(thm)],[f392215,f392175]) ).
fof(f392220,plain,
~ r1_tarski(k3_xboole_0(sK23834_skl,sK23835_skl),sK23834_skl),
inference(forward_subsumption_resolution,[status(thm)],[f392217,f335945]) ).
fof(f392221,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f392220,f71353]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU420+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n004.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 06:25:29 UTC 2026
% 0.17/0.44 % CPUTime :
% 19.34/19.62 % Drodi V4.1.1
% 100.89/30.07 % Refutation found
% 100.89/30.07 % SZS status Theorem for theBenchmark: Theorem is valid
% 100.89/30.07 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 68.22/31.96 % Elapsed time: 30.826178 seconds
% 68.22/31.96 % CPU time: 95.563581 seconds
% 68.22/31.96 % Total memory used: 19.816 GB
% 68.22/31.96 % Net memory used: 19.656 GB
%------------------------------------------------------------------------------