%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV558-1.004 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 : Sun Sep 27 09:08:29 AM UTC 2026
% Result : Unsatisfiable 0.13s 5.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 21
% Syntax : Number of formulae : 134 ( 134 unt; 0 def)
% Number of atoms : 134 ( 133 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 40 ( 6 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a1,axiom,
! [VAR_0,VAR_1,VAR_2] : select(store(VAR_0,VAR_1,VAR_2),VAR_1) = VAR_2,
file('theBenchmark.p',a1) ).
cnf(c_1,plain,
select(store(A,B,C),B) = C,
inference(clausify,[status(thm)],[a1]) ).
fof(a3,axiom,
! [VAR_0,VAR_1] : store(VAR_0,VAR_1,select(VAR_0,VAR_1)) = VAR_0,
file('theBenchmark.p',a3) ).
cnf(c_3,plain,
store(A,B,select(A,B)) = A,
inference(clausify,[status(thm)],[a3]) ).
fof(a4,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] : store(store(VAR_0,VAR_1,VAR_2),VAR_1,VAR_3) = store(VAR_0,VAR_1,VAR_3),
file('theBenchmark.p',a4) ).
cnf(c_4,plain,
store(store(A,B,C),B,D) = store(A,B,D),
inference(clausify,[status(thm)],[a4]) ).
fof(hyp0,axiom,
a_17 = store(a1,i1,e_16),
file('theBenchmark.p',hyp0) ).
cnf(c_6,plain,
a_17 = store(a1,i1,e_16),
inference(clausify,[status(thm)],[hyp0]) ).
cnf(c_7,plain,
store(a1,i1,e_16) = a_17,
inference(copy,[status(thm)],[c_6]) ).
fof(hyp1,axiom,
a_19 = store(a2,i1,e_18),
file('theBenchmark.p',hyp1) ).
cnf(c_8,plain,
a_19 = store(a2,i1,e_18),
inference(clausify,[status(thm)],[hyp1]) ).
cnf(c_9,plain,
store(a2,i1,e_18) = a_19,
inference(copy,[status(thm)],[c_8]) ).
fof(hyp2,axiom,
a_21 = store(a_17,i2,e_20),
file('theBenchmark.p',hyp2) ).
cnf(c_10,plain,
a_21 = store(a_17,i2,e_20),
inference(clausify,[status(thm)],[hyp2]) ).
cnf(c_11,plain,
store(a_17,i2,e_20) = a_21,
inference(copy,[status(thm)],[c_10]) ).
fof(hyp3,axiom,
a_23 = store(a_19,i2,e_22),
file('theBenchmark.p',hyp3) ).
cnf(c_12,plain,
a_23 = store(a_19,i2,e_22),
inference(clausify,[status(thm)],[hyp3]) ).
cnf(c_13,plain,
store(a_19,i2,e_22) = a_23,
inference(copy,[status(thm)],[c_12]) ).
fof(hyp4,axiom,
a_25 = store(a_21,i3,e_24),
file('theBenchmark.p',hyp4) ).
cnf(c_14,plain,
a_25 = store(a_21,i3,e_24),
inference(clausify,[status(thm)],[hyp4]) ).
cnf(c_15,plain,
store(a_21,i3,e_24) = a_25,
inference(copy,[status(thm)],[c_14]) ).
fof(hyp5,axiom,
a_27 = store(a_23,i3,e_26),
file('theBenchmark.p',hyp5) ).
cnf(c_16,plain,
a_27 = store(a_23,i3,e_26),
inference(clausify,[status(thm)],[hyp5]) ).
cnf(c_17,plain,
store(a_23,i3,e_26) = a_27,
inference(copy,[status(thm)],[c_16]) ).
fof(hyp6,axiom,
a_29 = store(a_25,i4,e_28),
file('theBenchmark.p',hyp6) ).
cnf(c_18,plain,
a_29 = store(a_25,i4,e_28),
inference(clausify,[status(thm)],[hyp6]) ).
cnf(c_19,plain,
store(a_25,i4,e_28) = a_29,
inference(copy,[status(thm)],[c_18]) ).
fof(hyp7,axiom,
a_31 = store(a_27,i4,e_30),
file('theBenchmark.p',hyp7) ).
cnf(c_20,plain,
a_31 = store(a_27,i4,e_30),
inference(clausify,[status(thm)],[hyp7]) ).
cnf(c_21,plain,
store(a_27,i4,e_30) = a_31,
inference(copy,[status(thm)],[c_20]) ).
fof(hyp8,axiom,
e_16 = select(a2,i1),
file('theBenchmark.p',hyp8) ).
cnf(c_22,plain,
e_16 = select(a2,i1),
inference(clausify,[status(thm)],[hyp8]) ).
cnf(c_23,plain,
select(a2,i1) = e_16,
inference(copy,[status(thm)],[c_22]) ).
fof(hyp9,axiom,
e_18 = select(a1,i1),
file('theBenchmark.p',hyp9) ).
cnf(c_24,plain,
e_18 = select(a1,i1),
inference(clausify,[status(thm)],[hyp9]) ).
cnf(c_25,plain,
select(a1,i1) = e_18,
inference(copy,[status(thm)],[c_24]) ).
fof(hyp10,axiom,
e_20 = select(a_19,i2),
file('theBenchmark.p',hyp10) ).
cnf(c_26,plain,
e_20 = select(a_19,i2),
inference(clausify,[status(thm)],[hyp10]) ).
cnf(c_27,plain,
select(a_19,i2) = e_20,
inference(copy,[status(thm)],[c_26]) ).
fof(hyp11,axiom,
e_22 = select(a_17,i2),
file('theBenchmark.p',hyp11) ).
cnf(c_28,plain,
e_22 = select(a_17,i2),
inference(clausify,[status(thm)],[hyp11]) ).
cnf(c_29,plain,
select(a_17,i2) = e_22,
inference(copy,[status(thm)],[c_28]) ).
fof(hyp12,axiom,
e_24 = select(a_23,i3),
file('theBenchmark.p',hyp12) ).
cnf(c_30,plain,
e_24 = select(a_23,i3),
inference(clausify,[status(thm)],[hyp12]) ).
cnf(c_31,plain,
select(a_23,i3) = e_24,
inference(copy,[status(thm)],[c_30]) ).
fof(hyp13,axiom,
e_26 = select(a_21,i3),
file('theBenchmark.p',hyp13) ).
cnf(c_32,plain,
e_26 = select(a_21,i3),
inference(clausify,[status(thm)],[hyp13]) ).
cnf(c_33,plain,
select(a_21,i3) = e_26,
inference(copy,[status(thm)],[c_32]) ).
fof(hyp14,axiom,
e_28 = select(a_27,i4),
file('theBenchmark.p',hyp14) ).
cnf(c_34,plain,
e_28 = select(a_27,i4),
inference(clausify,[status(thm)],[hyp14]) ).
cnf(c_35,plain,
select(a_27,i4) = e_28,
inference(copy,[status(thm)],[c_34]) ).
fof(hyp15,axiom,
e_30 = select(a_25,i4),
file('theBenchmark.p',hyp15) ).
cnf(c_36,plain,
e_30 = select(a_25,i4),
inference(clausify,[status(thm)],[hyp15]) ).
cnf(c_37,plain,
select(a_25,i4) = e_30,
inference(copy,[status(thm)],[c_36]) ).
fof(hyp16,axiom,
a_29 = a_31,
file('theBenchmark.p',hyp16) ).
cnf(c_38,plain,
a_29 = a_31,
inference(clausify,[status(thm)],[hyp16]) ).
cnf(c_39,plain,
a_31 = a_29,
inference(copy,[status(thm)],[c_38]) ).
fof(goal,axiom,
a1 != a2,
file('theBenchmark.p',goal) ).
cnf(c_40,plain,
a1 != a2,
inference(clausify,[status(thm)],[goal]) ).
cnf(c_41,plain,
a2 != a1,
inference(copy,[status(thm)],[c_40]) ).
cnf(c_42,plain,
store(a_27,i4,e_30) = a_29,
inference(paramod,[status(thm)],[c_39,c_21]) ).
cnf(c_169,plain,
store(a_17,i1,A) = store(a1,i1,A),
inference(paramod,[status(thm)],[c_7,c_4]) ).
cnf(c_64,plain,
store(a1,i1,A) = store(a_17,i1,A),
inference(copy,[status(thm)],[c_169]) ).
cnf(c_170,plain,
store(store(a1,i1,A),i1,e_16) = a_17,
inference(paramod,[status(thm)],[c_7,c_4]) ).
cnf(c_171,plain,
store(store(a_17,i1,A),i1,e_16) = a_17,
inference(paramod,[status(thm)],[c_64,c_170]) ).
cnf(c_65,plain,
store(a_17,i1,e_16) = a_17,
inference(paramod,[status(thm)],[c_4,c_171]) ).
cnf(c_172,plain,
store(a_19,i1,A) = store(a2,i1,A),
inference(paramod,[status(thm)],[c_9,c_4]) ).
cnf(c_69,plain,
store(a2,i1,A) = store(a_19,i1,A),
inference(copy,[status(thm)],[c_172]) ).
cnf(c_173,plain,
store(store(a2,i1,A),i1,e_18) = a_19,
inference(paramod,[status(thm)],[c_9,c_4]) ).
cnf(c_174,plain,
store(store(a_19,i1,A),i1,e_18) = a_19,
inference(paramod,[status(thm)],[c_69,c_173]) ).
cnf(c_70,plain,
store(a_19,i1,e_18) = a_19,
inference(paramod,[status(thm)],[c_4,c_174]) ).
cnf(c_72,plain,
select(a_21,i2) = e_20,
inference(paramod,[status(thm)],[c_11,c_1]) ).
cnf(c_74,plain,
store(a_21,i2,A) = store(a_17,i2,A),
inference(paramod,[status(thm)],[c_11,c_4]) ).
cnf(c_76,plain,
select(a_23,i2) = e_22,
inference(paramod,[status(thm)],[c_13,c_1]) ).
cnf(c_78,plain,
store(a_23,i2,A) = store(a_19,i2,A),
inference(paramod,[status(thm)],[c_13,c_4]) ).
cnf(c_80,plain,
select(a_25,i3) = e_24,
inference(paramod,[status(thm)],[c_15,c_1]) ).
cnf(c_82,plain,
store(a_25,i3,A) = store(a_21,i3,A),
inference(paramod,[status(thm)],[c_15,c_4]) ).
cnf(c_84,plain,
select(a_27,i3) = e_26,
inference(paramod,[status(thm)],[c_17,c_1]) ).
cnf(c_86,plain,
store(a_27,i3,A) = store(a_23,i3,A),
inference(paramod,[status(thm)],[c_17,c_4]) ).
cnf(c_88,plain,
select(a_29,i4) = e_28,
inference(paramod,[status(thm)],[c_19,c_1]) ).
cnf(c_90,plain,
store(a_29,i4,A) = store(a_25,i4,A),
inference(paramod,[status(thm)],[c_19,c_4]) ).
cnf(c_175,plain,
store(a2,i1,e_16) = a2,
inference(paramod,[status(thm)],[c_23,c_3]) ).
cnf(c_93,plain,
store(a_19,i1,e_16) = a2,
inference(paramod,[status(thm)],[c_69,c_175]) ).
cnf(c_176,plain,
store(a1,i1,e_18) = a1,
inference(paramod,[status(thm)],[c_25,c_3]) ).
cnf(c_95,plain,
store(a_17,i1,e_18) = a1,
inference(paramod,[status(thm)],[c_64,c_176]) ).
cnf(c_97,plain,
store(a_19,i2,e_20) = a_19,
inference(paramod,[status(thm)],[c_27,c_3]) ).
cnf(c_99,plain,
store(a_17,i2,e_22) = a_17,
inference(paramod,[status(thm)],[c_29,c_3]) ).
cnf(c_101,plain,
store(a_23,i3,e_24) = a_23,
inference(paramod,[status(thm)],[c_31,c_3]) ).
cnf(c_103,plain,
store(a_21,i3,e_26) = a_21,
inference(paramod,[status(thm)],[c_33,c_3]) ).
cnf(c_105,plain,
store(a_27,i4,e_28) = a_27,
inference(paramod,[status(thm)],[c_35,c_3]) ).
cnf(c_107,plain,
store(a_25,i4,e_30) = a_25,
inference(paramod,[status(thm)],[c_37,c_3]) ).
cnf(c_177,plain,
select(a_29,i4) = e_30,
inference(paramod,[status(thm)],[c_42,c_1]) ).
cnf(c_178,plain,
e_28 = e_30,
inference(paramod,[status(thm)],[c_88,c_177]) ).
cnf(c_108,plain,
e_30 = e_28,
inference(copy,[status(thm)],[c_178]) ).
cnf(c_179,plain,
store(a_29,i4,A) = store(a_27,i4,A),
inference(paramod,[status(thm)],[c_42,c_4]) ).
cnf(c_180,plain,
store(a_25,i4,A) = store(a_27,i4,A),
inference(paramod,[status(thm)],[c_90,c_179]) ).
cnf(c_110,plain,
store(a_27,i4,A) = store(a_25,i4,A),
inference(copy,[status(thm)],[c_180]) ).
cnf(c_181,plain,
store(a_25,i4,e_28) = a_25,
inference(paramod,[status(thm)],[c_108,c_107]) ).
cnf(c_112,plain,
a_29 = a_25,
inference(paramod,[status(thm)],[c_19,c_181]) ).
cnf(c_182,plain,
store(a_25,i4,e_28) = a_27,
inference(paramod,[status(thm)],[c_110,c_105]) ).
cnf(c_183,plain,
a_29 = a_27,
inference(paramod,[status(thm)],[c_19,c_182]) ).
cnf(c_184,plain,
a_25 = a_27,
inference(paramod,[status(thm)],[c_112,c_183]) ).
cnf(c_115,plain,
a_27 = a_25,
inference(copy,[status(thm)],[c_184]) ).
cnf(c_185,plain,
store(a_25,i3,A) = store(a_23,i3,A),
inference(paramod,[status(thm)],[c_115,c_86]) ).
cnf(c_186,plain,
store(a_21,i3,A) = store(a_23,i3,A),
inference(paramod,[status(thm)],[c_82,c_185]) ).
cnf(c_120,plain,
store(a_23,i3,A) = store(a_21,i3,A),
inference(copy,[status(thm)],[c_186]) ).
cnf(c_187,plain,
select(a_25,i3) = e_26,
inference(paramod,[status(thm)],[c_115,c_84]) ).
cnf(c_188,plain,
e_24 = e_26,
inference(paramod,[status(thm)],[c_80,c_187]) ).
cnf(c_122,plain,
e_26 = e_24,
inference(copy,[status(thm)],[c_188]) ).
cnf(c_189,plain,
store(a_21,i3,e_24) = a_23,
inference(paramod,[status(thm)],[c_120,c_101]) ).
cnf(c_123,plain,
a_25 = a_23,
inference(paramod,[status(thm)],[c_15,c_189]) ).
cnf(c_190,plain,
store(a_21,i3,e_24) = a_21,
inference(paramod,[status(thm)],[c_122,c_103]) ).
cnf(c_191,plain,
a_25 = a_21,
inference(paramod,[status(thm)],[c_15,c_190]) ).
cnf(c_125,plain,
a_23 = a_21,
inference(paramod,[status(thm)],[c_123,c_191]) ).
cnf(c_192,plain,
store(a_21,i2,A) = store(a_19,i2,A),
inference(paramod,[status(thm)],[c_125,c_78]) ).
cnf(c_193,plain,
store(a_17,i2,A) = store(a_19,i2,A),
inference(paramod,[status(thm)],[c_74,c_192]) ).
cnf(c_139,plain,
store(a_19,i2,A) = store(a_17,i2,A),
inference(copy,[status(thm)],[c_193]) ).
cnf(c_194,plain,
select(a_21,i2) = e_22,
inference(paramod,[status(thm)],[c_125,c_76]) ).
cnf(c_195,plain,
e_20 = e_22,
inference(paramod,[status(thm)],[c_72,c_194]) ).
cnf(c_141,plain,
e_22 = e_20,
inference(copy,[status(thm)],[c_195]) ).
cnf(c_196,plain,
store(a_17,i2,e_20) = a_19,
inference(paramod,[status(thm)],[c_139,c_97]) ).
cnf(c_142,plain,
a_21 = a_19,
inference(paramod,[status(thm)],[c_11,c_196]) ).
cnf(c_197,plain,
store(a_17,i2,e_20) = a_17,
inference(paramod,[status(thm)],[c_141,c_99]) ).
cnf(c_198,plain,
a_21 = a_17,
inference(paramod,[status(thm)],[c_11,c_197]) ).
cnf(c_144,plain,
a_19 = a_17,
inference(paramod,[status(thm)],[c_142,c_198]) ).
cnf(c_199,plain,
store(a_17,i1,e_16) = a2,
inference(paramod,[status(thm)],[c_144,c_93]) ).
cnf(c_200,plain,
a_17 = a2,
inference(paramod,[status(thm)],[c_65,c_199]) ).
cnf(c_163,plain,
a2 = a_17,
inference(copy,[status(thm)],[c_200]) ).
cnf(c_201,plain,
store(a_17,i1,e_18) = a_19,
inference(paramod,[status(thm)],[c_144,c_70]) ).
cnf(c_202,plain,
a1 = a_19,
inference(paramod,[status(thm)],[c_95,c_201]) ).
cnf(c_165,plain,
a1 = a_17,
inference(paramod,[status(thm)],[c_144,c_202]) ).
cnf(c_203,plain,
a_17 != a1,
inference(paramod,[status(thm)],[c_163,c_41]) ).
cnf(c_204,plain,
a_17 != a_17,
inference(paramod,[status(thm)],[c_165,c_203]) ).
cnf(c_168,plain,
$false,
inference(copy,[status(thm)],[c_204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV558-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n003.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 26 14:29:00 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/5.37 % Process 3106376 was started by sandbox2 on n003,
% 0.09/5.37 % Sat Sep 26 14:29:00 2026
% 0.09/5.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/5.38
% 0.09/5.38 % From the command line: assign(max_seconds, 300).
% 0.13/5.40
% 0.13/5.40 % SZS status Unsatisfiable for theBenchmark
% 0.13/5.40
% 0.13/5.40 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.13/5.40 % Length of proof is 77.
% 0.13/5.40 % Level of proof is 13.
% 0.13/5.40 % Maximum clause weight is 12.000.
% 0.13/5.40 % Given clauses 23.
% 0.13/5.40
% 0.13/5.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------