%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV557-1.004 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 55.79s 18.51s
% Output : CNFRefutation 55.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 5
% Syntax : Number of formulae : 53 ( 53 unt; 0 def)
% Number of atoms : 53 ( 52 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 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 : 34 ( 2 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,
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('theBenchmark.p',hyp0) ).
cnf(c_6,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(clausify,[status(thm)],[hyp0]) ).
cnf(c_7,plain,
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)) = 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)),
inference(copy,[status(thm)],[c_6]) ).
fof(goal,axiom,
a1 != a2,
file('theBenchmark.p',goal) ).
cnf(c_8,plain,
a1 != a2,
inference(clausify,[status(thm)],[goal]) ).
cnf(c_9,plain,
a2 != a1,
inference(copy,[status(thm)],[c_8]) ).
cnf(c_22,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(paramod,[status(thm)],[c_7,c_1]) ).
cnf(c_10,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(paramod,[status(thm)],[c_1,c_22]) ).
cnf(c_23,plain,
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,A) = 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,A),
inference(paramod,[status(thm)],[c_7,c_4]) ).
cnf(c_24,plain,
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(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)),i4,A) = 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,A),
inference(paramod,[status(thm)],[c_10,c_23]) ).
cnf(c_25,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,A) = 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,A),
inference(paramod,[status(thm)],[c_3,c_24]) ).
cnf(c_11,plain,
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,A) = 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,A),
inference(copy,[status(thm)],[c_25]) ).
cnf(c_26,plain,
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)) = 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(paramod,[status(thm)],[c_10,c_3]) ).
cnf(c_27,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(paramod,[status(thm)],[c_11,c_26]) ).
cnf(c_28,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(paramod,[status(thm)],[c_3,c_27]) ).
cnf(c_12,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(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)),
inference(copy,[status(thm)],[c_28]) ).
cnf(c_29,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(paramod,[status(thm)],[c_12,c_1]) ).
cnf(c_13,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(paramod,[status(thm)],[c_1,c_29]) ).
cnf(c_30,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)),i3,A) = store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,A),
inference(paramod,[status(thm)],[c_12,c_4]) ).
cnf(c_31,plain,
store(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)),i3,A) = store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,A),
inference(paramod,[status(thm)],[c_13,c_30]) ).
cnf(c_32,plain,
store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,A) = store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,A),
inference(paramod,[status(thm)],[c_3,c_31]) ).
cnf(c_14,plain,
store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,A) = store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,A),
inference(copy,[status(thm)],[c_32]) ).
cnf(c_33,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(paramod,[status(thm)],[c_13,c_3]) ).
cnf(c_34,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(paramod,[status(thm)],[c_14,c_33]) ).
cnf(c_35,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(paramod,[status(thm)],[c_3,c_34]) ).
cnf(c_15,plain,
store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)) = store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),
inference(copy,[status(thm)],[c_35]) ).
cnf(c_36,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(paramod,[status(thm)],[c_15,c_1]) ).
cnf(c_16,plain,
select(store(a2,i1,select(a1,i1)),i2) = select(store(a1,i1,select(a2,i1)),i2),
inference(paramod,[status(thm)],[c_1,c_36]) ).
cnf(c_37,plain,
store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i2,A) = store(store(a2,i1,select(a1,i1)),i2,A),
inference(paramod,[status(thm)],[c_15,c_4]) ).
cnf(c_38,plain,
store(store(store(a1,i1,select(a2,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i2,A) = store(store(a2,i1,select(a1,i1)),i2,A),
inference(paramod,[status(thm)],[c_16,c_37]) ).
cnf(c_39,plain,
store(store(a1,i1,select(a2,i1)),i2,A) = store(store(a2,i1,select(a1,i1)),i2,A),
inference(paramod,[status(thm)],[c_3,c_38]) ).
cnf(c_17,plain,
store(store(a2,i1,select(a1,i1)),i2,A) = store(store(a1,i1,select(a2,i1)),i2,A),
inference(copy,[status(thm)],[c_39]) ).
cnf(c_40,plain,
store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)) = store(a2,i1,select(a1,i1)),
inference(paramod,[status(thm)],[c_16,c_3]) ).
cnf(c_41,plain,
store(store(a1,i1,select(a2,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)) = store(a2,i1,select(a1,i1)),
inference(paramod,[status(thm)],[c_17,c_40]) ).
cnf(c_42,plain,
store(a1,i1,select(a2,i1)) = store(a2,i1,select(a1,i1)),
inference(paramod,[status(thm)],[c_3,c_41]) ).
cnf(c_18,plain,
store(a2,i1,select(a1,i1)) = store(a1,i1,select(a2,i1)),
inference(copy,[status(thm)],[c_42]) ).
cnf(c_43,plain,
select(store(a1,i1,select(a2,i1)),i1) = select(a1,i1),
inference(paramod,[status(thm)],[c_18,c_1]) ).
cnf(c_19,plain,
select(a2,i1) = select(a1,i1),
inference(paramod,[status(thm)],[c_1,c_43]) ).
cnf(c_44,plain,
store(store(a1,i1,select(a2,i1)),i1,A) = store(a2,i1,A),
inference(paramod,[status(thm)],[c_18,c_4]) ).
cnf(c_45,plain,
store(store(a1,i1,select(a1,i1)),i1,A) = store(a2,i1,A),
inference(paramod,[status(thm)],[c_19,c_44]) ).
cnf(c_46,plain,
store(a1,i1,A) = store(a2,i1,A),
inference(paramod,[status(thm)],[c_3,c_45]) ).
cnf(c_20,plain,
store(a2,i1,A) = store(a1,i1,A),
inference(copy,[status(thm)],[c_46]) ).
cnf(c_47,plain,
store(a2,i1,select(a1,i1)) = a2,
inference(paramod,[status(thm)],[c_19,c_3]) ).
cnf(c_48,plain,
store(a1,i1,select(a1,i1)) = a2,
inference(paramod,[status(thm)],[c_20,c_47]) ).
cnf(c_49,plain,
a1 = a2,
inference(paramod,[status(thm)],[c_3,c_48]) ).
cnf(c_50,plain,
a2 = a1,
inference(copy,[status(thm)],[c_49]) ).
cnf(c_21,plain,
$false,
inference(resolve,[status(thm)],[c_9,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV557-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/10.44 % Computer : n015.cluster.edu
% 0.15/10.44 % Model : x86_64 x86_64
% 0.15/10.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/10.44 % Memory : 8046.5625MB
% 0.15/10.44 % OS : Linux 6.8.0-71-generic
% 0.15/10.44 % CPULimit : 300
% 0.15/10.44 % WCLimit : 300
% 0.15/10.44 % DateTime : Sat Sep 26 14:29:40 UTC 2026
% 0.15/10.44 % CPUTime :
% 0.15/10.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/10.44 % Process 83022 was started by sandbox on n015,
% 0.15/10.44 % Sat Sep 26 14:29:40 2026
% 0.15/10.44 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.15/10.45
% 0.15/10.45 % From the command line: assign(max_seconds, 300).
% 55.79/18.51
% 55.79/18.51 % SZS status Unsatisfiable for theBenchmark
% 55.79/18.51
% 55.79/18.51 % Proof 1 at 0.01 (+ 0.00) seconds.
% 55.79/18.51 % Length of proof is 19.
% 55.79/18.51 % Level of proof is 13.
% 55.79/18.51 % Maximum clause weight is 171.000.
% 55.79/18.51 % Given clauses 14.
% 55.79/18.51
% 55.79/18.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
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