%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV558-1.004 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 02:49:04 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.32s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 20
% Syntax : Number of formulae : 91 ( 91 unt; 0 def)
% Number of atoms : 91 ( 90 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 22 con; 0-3 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,I,E] : select(store(A,I,E),I) = E,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,I] : store(A,I,select(A,I)) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
a_17 = store(a1,i1,e_16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
a_19 = store(a2,i1,e_18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,hypothesis,
a_21 = store(a_17,i2,e_20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
a_23 = store(a_19,i2,e_22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
a_25 = store(a_21,i3,e_24),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
a_27 = store(a_23,i3,e_26),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,hypothesis,
a_29 = store(a_25,i4,e_28),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
a_31 = store(a_27,i4,e_30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
e_16 = select(a2,i1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
e_18 = select(a1,i1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
e_20 = select(a_19,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
e_22 = select(a_17,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
e_24 = select(a_23,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
e_26 = select(a_21,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
e_28 = select(a_27,i4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
e_30 = select(a_25,i4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,hypothesis,
a_29 = a_31,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
a1 != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,plain,
! [X0,X1,X2] : select(store(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f27,plain,
! [X0,X1] : store(X0,X1,select(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f31,plain,
a_17 = store(a1,i1,e_16),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f32,plain,
a_19 = store(a2,i1,e_18),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f33,plain,
a_21 = store(a_17,i2,e_20),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f34,plain,
a_23 = store(a_19,i2,e_22),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f35,plain,
a_25 = store(a_21,i3,e_24),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f36,plain,
a_27 = store(a_23,i3,e_26),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f37,plain,
a_29 = store(a_25,i4,e_28),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f38,plain,
a_31 = store(a_27,i4,e_30),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f39,plain,
e_16 = select(a2,i1),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f40,plain,
e_18 = select(a1,i1),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f41,plain,
e_20 = select(a_19,i2),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f42,plain,
e_22 = select(a_17,i2),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f43,plain,
e_24 = select(a_23,i3),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f44,plain,
e_26 = select(a_21,i3),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f45,plain,
e_28 = select(a_27,i4),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f46,plain,
e_30 = select(a_25,i4),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f47,plain,
a_29 = a_31,
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f48,plain,
a1 != a2,
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f49,plain,
store(a_25,i4,e_30) = a_25,
inference(paramodulation,[status(thm)],[f46,f27]) ).
fof(f51,plain,
store(a_21,i3,e_26) = a_21,
inference(paramodulation,[status(thm)],[f44,f27]) ).
fof(f52,plain,
store(a_23,i3,e_24) = a_23,
inference(paramodulation,[status(thm)],[f43,f27]) ).
fof(f53,plain,
store(a_17,i2,e_22) = a_17,
inference(paramodulation,[status(thm)],[f42,f27]) ).
fof(f54,plain,
store(a_19,i2,e_20) = a_19,
inference(paramodulation,[status(thm)],[f41,f27]) ).
fof(f56,plain,
store(a1,i1,e_18) = a1,
inference(paramodulation,[status(thm)],[f40,f27]) ).
fof(f57,plain,
store(a2,i1,e_16) = a2,
inference(paramodulation,[status(thm)],[f39,f27]) ).
fof(f59,plain,
select(a_17,i1) = e_16,
inference(paramodulation,[status(thm)],[f31,f24]) ).
fof(f76,plain,
select(a_19,i1) = e_18,
inference(paramodulation,[status(thm)],[f32,f24]) ).
fof(f80,plain,
select(a_21,i2) = e_20,
inference(paramodulation,[status(thm)],[f33,f24]) ).
fof(f84,plain,
select(a_23,i2) = e_22,
inference(paramodulation,[status(thm)],[f34,f24]) ).
fof(f88,plain,
select(a_25,i3) = e_24,
inference(paramodulation,[status(thm)],[f35,f24]) ).
fof(f92,plain,
select(a_27,i3) = e_26,
inference(paramodulation,[status(thm)],[f36,f24]) ).
fof(f94,plain,
a_31 = store(a_25,i4,e_28),
inference(forward_demodulation,[status(thm)],[f47,f37]) ).
fof(f97,plain,
select(a_31,i4) = e_28,
inference(paramodulation,[status(thm)],[f94,f24]) ).
fof(f138,plain,
select(a_31,i4) = e_30,
inference(paramodulation,[status(thm)],[f38,f24]) ).
fof(f146,plain,
a_31 = store(a_25,i4,e_30),
inference(backward_demodulation,[status(thm)],[f148,f94]) ).
fof(f147,plain,
e_30 = select(a_27,i4),
inference(backward_demodulation,[status(thm)],[f148,f45]) ).
fof(f148,plain,
e_28 = e_30,
inference(forward_demodulation,[status(thm)],[f97,f138]) ).
fof(f149,plain,
a_31 = a_25,
inference(forward_demodulation,[status(thm)],[f49,f146]) ).
fof(f151,plain,
select(a_31,i3) = e_24,
inference(backward_demodulation,[status(thm)],[f149,f88]) ).
fof(f152,plain,
a_31 = store(a_21,i3,e_24),
inference(backward_demodulation,[status(thm)],[f149,f35]) ).
fof(f156,plain,
store(a_27,i4,e_30) = a_27,
inference(paramodulation,[status(thm)],[f147,f27]) ).
fof(f157,plain,
a_31 = a_27,
inference(forward_demodulation,[status(thm)],[f38,f156]) ).
fof(f160,plain,
select(a_31,i3) = e_26,
inference(backward_demodulation,[status(thm)],[f157,f92]) ).
fof(f161,plain,
a_31 = store(a_23,i3,e_26),
inference(backward_demodulation,[status(thm)],[f157,f36]) ).
fof(f165,plain,
e_24 = e_26,
inference(forward_demodulation,[status(thm)],[f151,f160]) ).
fof(f181,plain,
a_31 = store(a_21,i3,e_26),
inference(forward_demodulation,[status(thm)],[f165,f152]) ).
fof(f183,plain,
select(a_31,i2) = e_20,
inference(backward_demodulation,[status(thm)],[f186,f80]) ).
fof(f184,plain,
a_31 = store(a_17,i2,e_20),
inference(backward_demodulation,[status(thm)],[f186,f33]) ).
fof(f186,plain,
a_31 = a_21,
inference(forward_demodulation,[status(thm)],[f51,f181]) ).
fof(f189,plain,
store(a_23,i3,e_26) = a_23,
inference(forward_demodulation,[status(thm)],[f165,f52]) ).
fof(f250,plain,
select(a_31,i2) = e_22,
inference(backward_demodulation,[status(thm)],[f252,f84]) ).
fof(f251,plain,
a_31 = store(a_19,i2,e_22),
inference(backward_demodulation,[status(thm)],[f252,f34]) ).
fof(f252,plain,
a_31 = a_23,
inference(forward_demodulation,[status(thm)],[f189,f161]) ).
fof(f255,plain,
e_20 = e_22,
inference(forward_demodulation,[status(thm)],[f183,f250]) ).
fof(f267,plain,
a_31 = store(a_17,i2,e_22),
inference(backward_demodulation,[status(thm)],[f255,f184]) ).
fof(f269,plain,
store(a_19,i2,e_22) = a_19,
inference(backward_demodulation,[status(thm)],[f255,f54]) ).
fof(f272,plain,
a_31 = a_17,
inference(forward_demodulation,[status(thm)],[f53,f267]) ).
fof(f273,plain,
a_31 = a_19,
inference(forward_demodulation,[status(thm)],[f251,f269]) ).
fof(f276,plain,
select(a_31,i1) = e_16,
inference(backward_demodulation,[status(thm)],[f272,f59]) ).
fof(f277,plain,
a_31 = store(a1,i1,e_16),
inference(backward_demodulation,[status(thm)],[f272,f31]) ).
fof(f283,plain,
select(a_31,i1) = e_18,
inference(backward_demodulation,[status(thm)],[f273,f76]) ).
fof(f284,plain,
a_31 = store(a2,i1,e_18),
inference(backward_demodulation,[status(thm)],[f273,f32]) ).
fof(f290,plain,
store(a2,i1,e_18) = a2,
inference(backward_demodulation,[status(thm)],[f292,f57]) ).
fof(f292,plain,
e_16 = e_18,
inference(forward_demodulation,[status(thm)],[f276,f283]) ).
fof(f296,plain,
a_31 = store(a1,i1,e_18),
inference(forward_demodulation,[status(thm)],[f292,f277]) ).
fof(f299,plain,
a_31 != a2,
inference(backward_demodulation,[status(thm)],[f300,f48]) ).
fof(f300,plain,
a_31 = a1,
inference(forward_demodulation,[status(thm)],[f56,f296]) ).
fof(f324,plain,
a_31 = a2,
inference(forward_demodulation,[status(thm)],[f284,f290]) ).
fof(f325,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f324,f299]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV558-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Mon Sep 21 09:07:51 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.30 % Drodi V4.1.1
% 0.02/0.32 % Refutation found
% 0.02/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.34 % Elapsed time: 0.039318 seconds
% 0.07/0.34 % CPU time: 0.100006 seconds
% 0.07/0.34 % Total memory used: 102.721 MB
% 0.07/0.34 % Net memory used: 102.226 MB
%------------------------------------------------------------------------------