%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV557-1.004 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 02:49:03 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 5
% Syntax : Number of formulae : 39 ( 39 unt; 0 def)
% Number of atoms : 39 ( 38 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-3 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,I,E] : select(store(A,I,E),I) = E,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,I] : store(A,I,select(A,I)) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,I,E,F] : store(store(A,I,E),I,F) = store(A,I,F),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)) = store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
a1 != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0,X1,X2] : select(store(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f11,plain,
! [X0,X1] : store(X0,X1,select(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : store(store(X0,X1,X2),X1,X3) = store(X0,X1,X3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f15,plain,
store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)) = store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f16,plain,
a1 != a2,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f25,plain,
! [X0] : store(store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)),i4,X0) = store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,X0),
inference(paramodulation,[status(thm)],[f15,f12]) ).
fof(f26,plain,
select(store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)),i4) = select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4),
inference(paramodulation,[status(thm)],[f15,f8]) ).
fof(f28,plain,
! [X0] : store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,X0) = store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,X0),
inference(forward_demodulation,[status(thm)],[f12,f25]) ).
fof(f29,plain,
select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4) = select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4),
inference(forward_demodulation,[status(thm)],[f8,f26]) ).
fof(f30,plain,
store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)) = store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),
inference(paramodulation,[status(thm)],[f11,f28]) ).
fof(f34,plain,
store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4)) = store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),
inference(forward_demodulation,[status(thm)],[f29,f30]) ).
fof(f37,plain,
store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)) = store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),
inference(forward_demodulation,[status(thm)],[f11,f34]) ).
fof(f41,plain,
! [X0] : store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i3,X0) = store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,X0),
inference(paramodulation,[status(thm)],[f37,f12]) ).
fof(f42,plain,
select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i3) = select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3),
inference(paramodulation,[status(thm)],[f37,f8]) ).
fof(f44,plain,
! [X0] : store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,X0) = store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,X0),
inference(forward_demodulation,[status(thm)],[f12,f41]) ).
fof(f45,plain,
select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3) = select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3),
inference(forward_demodulation,[status(thm)],[f8,f42]) ).
fof(f46,plain,
store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)) = store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),
inference(paramodulation,[status(thm)],[f45,f11]) ).
fof(f47,plain,
store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)) = store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),
inference(forward_demodulation,[status(thm)],[f44,f46]) ).
fof(f50,plain,
store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)) = store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),
inference(forward_demodulation,[status(thm)],[f11,f47]) ).
fof(f51,plain,
! [X0] : store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i2,X0) = store(store(a2,i1,select(a1,i1)),i2,X0),
inference(paramodulation,[status(thm)],[f50,f12]) ).
fof(f52,plain,
select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i2) = select(store(a1,i1,select(a2,i1)),i2),
inference(paramodulation,[status(thm)],[f50,f8]) ).
fof(f54,plain,
! [X0] : store(store(a1,i1,select(a2,i1)),i2,X0) = store(store(a2,i1,select(a1,i1)),i2,X0),
inference(forward_demodulation,[status(thm)],[f12,f51]) ).
fof(f55,plain,
select(store(a2,i1,select(a1,i1)),i2) = select(store(a1,i1,select(a2,i1)),i2),
inference(forward_demodulation,[status(thm)],[f8,f52]) ).
fof(f56,plain,
store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)) = store(a2,i1,select(a1,i1)),
inference(paramodulation,[status(thm)],[f11,f54]) ).
fof(f60,plain,
store(store(a1,i1,select(a2,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)) = store(a2,i1,select(a1,i1)),
inference(forward_demodulation,[status(thm)],[f55,f56]) ).
fof(f63,plain,
store(a1,i1,select(a2,i1)) = store(a2,i1,select(a1,i1)),
inference(forward_demodulation,[status(thm)],[f11,f60]) ).
fof(f67,plain,
! [X0] : store(store(a1,i1,select(a2,i1)),i1,X0) = store(a2,i1,X0),
inference(paramodulation,[status(thm)],[f63,f12]) ).
fof(f68,plain,
select(store(a1,i1,select(a2,i1)),i1) = select(a1,i1),
inference(paramodulation,[status(thm)],[f63,f8]) ).
fof(f70,plain,
! [X0] : store(a1,i1,X0) = store(a2,i1,X0),
inference(forward_demodulation,[status(thm)],[f12,f67]) ).
fof(f71,plain,
select(a2,i1) = select(a1,i1),
inference(forward_demodulation,[status(thm)],[f8,f68]) ).
fof(f72,plain,
store(a1,i1,select(a2,i1)) = a2,
inference(paramodulation,[status(thm)],[f11,f70]) ).
fof(f76,plain,
store(a1,i1,select(a1,i1)) = a2,
inference(forward_demodulation,[status(thm)],[f71,f72]) ).
fof(f77,plain,
a1 = a2,
inference(forward_demodulation,[status(thm)],[f11,f76]) ).
fof(f78,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f77,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV557-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 09:08:12 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.057952 seconds
% 0.14/0.43 % CPU time: 0.160201 seconds
% 0.14/0.43 % Total memory used: 101.856 MB
% 0.14/0.43 % Net memory used: 101.178 MB
%------------------------------------------------------------------------------