%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV553-1.004 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:26:01 PM UTC 2026
% Result : Unsatisfiable 1.67s 1.78s
% Output : CNFRefutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 4
% Syntax : Number of clauses : 121 ( 13 unt; 103 nHn; 109 RR)
% Number of literals : 373 ( 372 equ; 26 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 22 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a1,axiom,
select(store(X1,X2,X3),X2) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
cnf(hyp0,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',hyp0) ).
cnf(a2,axiom,
( X1 = X2
| select(store(X3,X1,X4),X2) = select(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
cnf(goal,negated_conjecture,
select(a1,sk(a1,a2)) != select(a2,sk(a1,a2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(c_0_4,axiom,
select(store(X1,X2,X3),X2) = X3,
a1 ).
cnf(c_0_5,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)),
hyp0 ).
cnf(c_0_6,hypothesis,
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) = 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_4]) ).
cnf(c_0_7,axiom,
( X1 = X2
| select(store(X3,X1,X4),X2) = select(X3,X2) ),
a2 ).
cnf(c_0_8,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(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(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,hypothesis,
( select(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(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)),X1) = 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)),X1)
| i4 = X1 ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,hypothesis,
( 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)),X1) = 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)),X1)
| i4 = X1 ),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
cnf(c_0_11,hypothesis,
( 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)),X1) = select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),X1)
| i4 = X1
| i3 = X1 ),
inference(spm,[status(thm)],[c_0_7,c_0_10]) ).
cnf(c_0_12,hypothesis,
( select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),X1) = select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),X1)
| i4 = X1
| i3 = X1 ),
inference(spm,[status(thm)],[c_0_7,c_0_11]) ).
cnf(c_0_13,hypothesis,
( select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),X1) = select(store(a1,i1,select(a2,i1)),X1)
| i3 = X1
| i4 = X1
| i2 = X1 ),
inference(spm,[status(thm)],[c_0_7,c_0_12]) ).
cnf(c_0_14,hypothesis,
( 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(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i4)
| i4 = i3 ),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_15,hypothesis,
( select(store(a1,i1,select(a2,i1)),X1) = select(store(a2,i1,select(a1,i1)),X1)
| i4 = X1
| i3 = X1
| i2 = X1 ),
inference(spm,[status(thm)],[c_0_7,c_0_13]) ).
cnf(c_0_16,hypothesis,
( select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i4) = select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i4)
| i4 = i3 ),
inference(spm,[status(thm)],[c_0_7,c_0_14]) ).
cnf(c_0_17,hypothesis,
( select(store(a2,i1,select(a1,i1)),X1) = select(a1,X1)
| i2 = X1
| i3 = X1
| i4 = X1
| i1 = X1 ),
inference(spm,[status(thm)],[c_0_7,c_0_15]) ).
cnf(c_0_18,hypothesis,
( select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i4) = select(store(a1,i1,select(a2,i1)),i4)
| i4 = i3
| i4 = i2 ),
inference(spm,[status(thm)],[c_0_7,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
select(a1,sk(a1,a2)) != select(a2,sk(a1,a2)),
goal ).
cnf(c_0_20,hypothesis,
( select(a1,X1) = select(a2,X1)
| i4 = X1
| i3 = X1
| i2 = X1
| i1 = X1 ),
inference(spm,[status(thm)],[c_0_7,c_0_17]) ).
cnf(c_0_21,hypothesis,
( select(store(a1,i1,select(a2,i1)),i4) = select(store(a2,i1,select(a1,i1)),i4)
| i4 = i3
| i4 = i2 ),
inference(spm,[status(thm)],[c_0_7,c_0_18]) ).
cnf(c_0_22,hypothesis,
( select(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 = i3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_10]),c_0_4]) ).
cnf(c_0_23,negated_conjecture,
( sk(a1,a2) = i1
| sk(a1,a2) = i2
| sk(a1,a2) = i3
| sk(a1,a2) = i4 ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,hypothesis,
( select(store(a2,i1,select(a1,i1)),i4) = select(a1,i4)
| i4 = i2
| i4 = i3
| i4 = i1 ),
inference(spm,[status(thm)],[c_0_7,c_0_21]) ).
cnf(c_0_25,hypothesis,
( select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3) = select(store(a1,i1,select(a2,i1)),i3)
| i4 = i3
| i3 = i2 ),
inference(spm,[status(thm)],[c_0_7,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( sk(a1,a2) = i3
| sk(a1,a2) = i2
| sk(a1,a2) = i1
| select(a1,i4) != select(a2,i4) ),
inference(spm,[status(thm)],[c_0_19,c_0_23]) ).
cnf(c_0_27,hypothesis,
( select(a1,i4) = select(a2,i4)
| i4 = i3
| i4 = i2
| i4 = i1 ),
inference(spm,[status(thm)],[c_0_7,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
( sk(a1,a2) = i3
| sk(a1,a2) = i2
| sk(a1,a2) = i1
| i4 != i1 ),
inference(ef,[status(thm)],[c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( sk(a1,a2) = i3
| sk(a1,a2) = i2
| sk(a1,a2) = i1
| i4 != i2 ),
inference(ef,[status(thm)],[c_0_23]) ).
cnf(c_0_30,negated_conjecture,
( sk(a1,a2) = i3
| sk(a1,a2) = i2
| sk(a1,a2) = i1
| i4 != i3 ),
inference(ef,[status(thm)],[c_0_23]) ).
cnf(c_0_31,hypothesis,
( select(store(a1,i1,select(a2,i1)),i3) = select(store(a2,i1,select(a1,i1)),i3)
| i4 = i3
| i3 = i2 ),
inference(spm,[status(thm)],[c_0_7,c_0_25]) ).
cnf(c_0_32,hypothesis,
( sk(a1,a2) = i1
| sk(a1,a2) = i2
| sk(a1,a2) = i3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]),c_0_30]) ).
cnf(c_0_33,hypothesis,
( select(store(a2,i1,select(a1,i1)),i3) = select(a1,i3)
| i3 = i2
| i4 = i3
| i3 = i1 ),
inference(spm,[status(thm)],[c_0_7,c_0_31]) ).
cnf(c_0_34,hypothesis,
( 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(a1,i2)),i3)),i4) = select(store(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_35,negated_conjecture,
( sk(a1,a2) = i2
| sk(a1,a2) = i1
| select(a1,i3) != select(a2,i3) ),
inference(spm,[status(thm)],[c_0_19,c_0_32]) ).
cnf(c_0_36,hypothesis,
( select(a1,i3) = select(a2,i3)
| i4 = i3
| i3 = i2
| i3 = i1 ),
inference(spm,[status(thm)],[c_0_7,c_0_33]) ).
cnf(c_0_37,hypothesis,
( sk(a1,a2) = i2
| sk(a1,a2) = i1
| i3 != i1 ),
inference(ef,[status(thm)],[c_0_32]) ).
cnf(c_0_38,hypothesis,
( sk(a1,a2) = i2
| sk(a1,a2) = i1
| i3 != i2 ),
inference(ef,[status(thm)],[c_0_32]) ).
cnf(c_0_39,hypothesis,
( select(store(a1,i1,select(a2,i1)),i2) = select(store(a2,i1,select(a1,i1)),i2)
| i3 = i2
| i4 = i2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_12]),c_0_4]) ).
cnf(c_0_40,hypothesis,
( select(store(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i3)),i4) = select(store(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i3)),i4)
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_34,c_0_7]) ).
cnf(c_0_41,hypothesis,
( sk(a1,a2) = i1
| sk(a1,a2) = i2
| i4 = i3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38]) ).
cnf(c_0_42,hypothesis,
( select(store(a2,i1,select(a1,i1)),i2) = select(a1,i2)
| i4 = i2
| i3 = i2
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_7,c_0_39]) ).
cnf(c_0_43,hypothesis,
( select(store(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i3)),i4) = select(store(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i3,select(store(a2,i1,select(a1,i1)),i3)),i4)
| i3 = i2
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_40,c_0_7]) ).
cnf(c_0_44,negated_conjecture,
( sk(a1,a2) = i1
| i4 = i3
| select(a1,i2) != select(a2,i2) ),
inference(spm,[status(thm)],[c_0_19,c_0_41]) ).
cnf(c_0_45,hypothesis,
( select(a1,i2) = select(a2,i2)
| i3 = i2
| i4 = i2
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_7,c_0_42]) ).
cnf(c_0_46,hypothesis,
( sk(a1,a2) = i1
| i4 = i3
| i2 != i1 ),
inference(ef,[status(thm)],[c_0_41]) ).
cnf(c_0_47,hypothesis,
( select(store(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i3,select(store(a2,i1,select(a1,i1)),i3)),i4) = select(store(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i3,select(store(a1,i1,select(a2,i1)),i3)),i4)
| i2 = i1
| i3 = i2 ),
inference(spm,[status(thm)],[c_0_43,c_0_7]) ).
cnf(c_0_48,hypothesis,
( sk(a1,a2) = i1
| i4 = i2
| i3 = i2
| i4 = i3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_49,hypothesis,
( select(store(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i3,select(store(a1,i1,select(a2,i1)),i3)),i4) = select(store(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i3,select(a2,i3)),i4)
| i3 = i1
| i3 = i2
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_47,c_0_7]) ).
cnf(c_0_50,negated_conjecture,
( i4 = i3
| i3 = i2
| i4 = i2
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_19,c_0_48]) ).
cnf(c_0_51,hypothesis,
( select(a1,i1) = select(a2,i1)
| i2 = i1
| i3 = i1
| i4 = i1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_15]),c_0_4]) ).
cnf(c_0_52,hypothesis,
( select(store(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i3,select(a2,i3)),i4) = select(store(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i3,select(a1,i3)),i4)
| i2 = i1
| i3 = i2
| i3 = i1 ),
inference(spm,[status(thm)],[c_0_49,c_0_7]) ).
cnf(c_0_53,hypothesis,
( i4 = i1
| i3 = i1
| i2 = i1
| i4 = i2
| i3 = i2
| i4 = i3 ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_54,hypothesis,
( select(a1,i3) = select(a2,i3)
| i4 = i2
| i4 = i1
| i3 = i1
| i3 = i2
| i2 = i1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_4]),c_0_4]) ).
cnf(c_0_55,negated_conjecture,
( sk(a1,a2) = i1
| sk(a1,a2) = i2
| i2 = i1
| i4 = i1
| i4 = i2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_54]),c_0_38]),c_0_37]) ).
cnf(c_0_56,negated_conjecture,
( sk(a1,a2) = i1
| i4 = i2
| i4 = i1
| i2 = i1
| select(a1,i2) != select(a2,i2) ),
inference(spm,[status(thm)],[c_0_19,c_0_55]) ).
cnf(c_0_57,hypothesis,
( sk(a1,a2) = i1
| i3 = i2
| i2 = i1
| i4 = i1
| i4 = i2 ),
inference(spm,[status(thm)],[c_0_56,c_0_45]) ).
cnf(c_0_58,hypothesis,
( select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i4) = select(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i4)
| i2 = i1
| i4 = i3 ),
inference(spm,[status(thm)],[c_0_16,c_0_7]) ).
cnf(c_0_59,negated_conjecture,
( i4 = i2
| i4 = i1
| i2 = i1
| i3 = i2
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_19,c_0_57]) ).
cnf(c_0_60,hypothesis,
( select(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i4) = select(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i4)
| i4 = i3
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_58,c_0_7]) ).
cnf(c_0_61,hypothesis,
( i3 = i1
| i3 = i2
| i2 = i1
| i4 = i1
| i4 = i2 ),
inference(spm,[status(thm)],[c_0_59,c_0_51]) ).
cnf(c_0_62,hypothesis,
( select(a1,i2) = select(a2,i2)
| i4 = i1
| i3 = i1
| i2 = i1
| i3 = i2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_4]),c_0_4]) ).
cnf(c_0_63,negated_conjecture,
( sk(a1,a2) = i1
| i3 = i2
| i3 = i1
| i4 = i1
| i4 = i3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_62]),c_0_46]) ).
cnf(c_0_64,negated_conjecture,
( i4 = i3
| i4 = i1
| i3 = i1
| i3 = i2
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_19,c_0_63]) ).
cnf(c_0_65,hypothesis,
( i2 = i1
| i3 = i2
| i3 = i1
| i4 = i1
| i4 = i3 ),
inference(spm,[status(thm)],[c_0_64,c_0_51]) ).
cnf(c_0_66,hypothesis,
( i4 = i1
| i2 = i1
| i3 = i2
| i3 = i1 ),
inference(spm,[status(thm)],[c_0_61,c_0_65]) ).
cnf(c_0_67,hypothesis,
( select(a1,i1) = select(a2,i1)
| i3 = i2
| i2 = i1
| i3 = i1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_66]),c_0_4]),c_0_4]) ).
cnf(c_0_68,negated_conjecture,
( i3 = i1
| i2 = i1
| i4 = i2
| i3 = i2
| i4 = i3 ),
inference(spm,[status(thm)],[c_0_50,c_0_67]) ).
cnf(c_0_69,hypothesis,
( i4 = i2
| i3 = i2
| i2 = i1
| i3 = i1 ),
inference(spm,[status(thm)],[c_0_66,c_0_68]) ).
cnf(c_0_70,hypothesis,
( i3 = i1
| i3 = i2
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_66,c_0_69]) ).
cnf(c_0_71,hypothesis,
( 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(a2,i2)),i3)
| i2 = i1
| i4 = i3 ),
inference(spm,[status(thm)],[c_0_22,c_0_7]) ).
cnf(c_0_72,hypothesis,
( sk(a1,a2) = i1
| sk(a1,a2) = i2
| i2 = i1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_70]),c_0_37]) ).
cnf(c_0_73,hypothesis,
( select(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i3) = select(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i3)
| i4 = i3
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_71,c_0_7]) ).
cnf(c_0_74,negated_conjecture,
( sk(a1,a2) = i1
| i2 = i1
| select(a1,i2) != select(a2,i2) ),
inference(spm,[status(thm)],[c_0_19,c_0_72]) ).
cnf(c_0_75,hypothesis,
( select(a1,i2) = select(a2,i2)
| i3 = i1
| i2 = i1
| i4 = i2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_70]),c_0_4]),c_0_4]) ).
cnf(c_0_76,hypothesis,
( sk(a1,a2) = i1
| i4 = i2
| i3 = i1
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_77,negated_conjecture,
( i2 = i1
| i3 = i1
| i4 = i2
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_19,c_0_76]) ).
cnf(c_0_78,hypothesis,
( select(store(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i2,select(a1,i2)),i4) = select(store(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i2,select(a2,i2)),i4)
| i3 = i1
| i2 = i1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_70]),c_0_4]),c_0_4]) ).
cnf(c_0_79,hypothesis,
( i4 = i1
| i4 = i2
| i3 = i1
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_77,c_0_51]) ).
cnf(c_0_80,hypothesis,
( select(a1,i2) = select(a2,i2)
| i4 = i1
| i2 = i1
| i3 = i1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_4]),c_0_4]) ).
cnf(c_0_81,negated_conjecture,
( sk(a1,a2) = i1
| i3 = i1
| i4 = i1
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_74,c_0_80]) ).
cnf(c_0_82,negated_conjecture,
( i2 = i1
| i4 = i1
| i3 = i1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_81]),c_0_51]) ).
cnf(c_0_83,hypothesis,
( select(a1,i1) = select(a2,i1)
| i2 = i1
| i3 = i1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_82]),c_0_4]),c_0_4]) ).
cnf(c_0_84,negated_conjecture,
( i4 = i2
| i3 = i1
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_77,c_0_83]) ).
cnf(c_0_85,hypothesis,
( sk(a1,a2) = i1
| i4 = i2
| i3 = i2
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_74,c_0_45]) ).
cnf(c_0_86,negated_conjecture,
( i3 = i1
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_82,c_0_84]) ).
cnf(c_0_87,negated_conjecture,
( i2 = i1
| i3 = i2
| i4 = i2
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_19,c_0_85]) ).
cnf(c_0_88,hypothesis,
( select(a1,i1) = select(a2,i1)
| i2 = i1
| i4 = i1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_86]),c_0_4]),c_0_4]) ).
cnf(c_0_89,negated_conjecture,
( i4 = i1
| i4 = i2
| i3 = i2
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_90,hypothesis,
( select(a1,i2) = select(a2,i2)
| i4 = i1
| i2 = i1
| i3 = i2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_89]),c_0_4]),c_0_4]) ).
cnf(c_0_91,negated_conjecture,
( sk(a1,a2) = i1
| i3 = i2
| i4 = i1
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_74,c_0_90]) ).
cnf(c_0_92,hypothesis,
( select(store(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i1,select(a1,i1)),i4) = select(store(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i1,select(a2,i1)),i4)
| i2 = i1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_86]),c_0_4]),c_0_4]) ).
cnf(c_0_93,negated_conjecture,
( i2 = i1
| i4 = i1
| i3 = i2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_91]),c_0_88]) ).
cnf(c_0_94,negated_conjecture,
( select(a1,i1) = select(a2,i1)
| i3 = i2
| i2 = i1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_4]),c_0_4]) ).
cnf(c_0_95,negated_conjecture,
( i4 = i2
| i3 = i2
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_87,c_0_94]) ).
cnf(c_0_96,hypothesis,
( 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(a2,i1,select(a1,i1)),i3)),i4)
| i3 = i2 ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_97,negated_conjecture,
( i3 = i2
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_93,c_0_95]) ).
cnf(c_0_98,hypothesis,
( select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(a2,i1,select(a1,i1)),i3)),i4) = select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(a1,i1,select(a2,i1)),i3)),i4)
| i3 = i2 ),
inference(spm,[status(thm)],[c_0_96,c_0_7]) ).
cnf(c_0_99,negated_conjecture,
i2 = i1,
inference(spm,[status(thm)],[c_0_86,c_0_97]) ).
cnf(c_0_100,hypothesis,
( select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(a1,i1,select(a2,i1)),i3)),i4) = select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(a2,i3)),i4)
| i3 = i1
| i3 = i2 ),
inference(spm,[status(thm)],[c_0_98,c_0_7]) ).
cnf(c_0_101,hypothesis,
( sk(a1,a2) = i1
| i4 = i3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_99])]) ).
cnf(c_0_102,hypothesis,
( select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(a2,i3)),i4) = select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(a1,i3)),i4)
| i3 = i2
| i3 = i1 ),
inference(spm,[status(thm)],[c_0_100,c_0_7]) ).
cnf(c_0_103,negated_conjecture,
( i4 = i3
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_19,c_0_101]) ).
cnf(c_0_104,hypothesis,
( select(a1,i1) = select(a2,i1)
| i4 = i1
| i3 = i1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_99]),c_0_4]),c_0_99]),c_0_4]),c_0_99]),c_0_99]) ).
cnf(c_0_105,negated_conjecture,
( sk(a1,a2) = i1
| select(a1,i3) != select(a2,i3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_99])]) ).
cnf(c_0_106,hypothesis,
( select(store(store(store(a1,i1,select(a2,i1)),i1,select(a1,i1)),i3,select(a2,i3)),i4) = select(store(store(store(a2,i1,select(a1,i1)),i1,select(a2,i1)),i3,select(a1,i3)),i4)
| i3 = i1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_99]),c_0_99]),c_0_4]),c_0_99]),c_0_99]),c_0_4]),c_0_99])]) ).
cnf(c_0_107,negated_conjecture,
( i3 = i1
| i4 = i1
| i4 = i3 ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_108,negated_conjecture,
( select(a1,i1) != select(a2,i1)
| select(a1,i3) != select(a2,i3) ),
inference(spm,[status(thm)],[c_0_19,c_0_105]) ).
cnf(c_0_109,negated_conjecture,
( select(a1,i3) = select(a2,i3)
| i4 = i1
| i3 = i1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_4]),c_0_4]) ).
cnf(c_0_110,hypothesis,
( select(store(store(a1,i1,select(a2,i1)),i1,select(a1,i1)),i4) = select(store(store(a2,i1,select(a1,i1)),i1,select(a2,i1)),i4)
| i4 = i3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_99]),c_0_99]),c_0_4]),c_0_99]),c_0_99]),c_0_4]) ).
cnf(c_0_111,negated_conjecture,
( i3 = i1
| i4 = i1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_104]) ).
cnf(c_0_112,hypothesis,
( select(a1,i1) = select(a2,i1)
| i3 = i1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_4]),c_0_4]) ).
cnf(c_0_113,hypothesis,
( sk(a1,a2) = i1
| i3 != i1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_99]),c_0_99])]) ).
cnf(c_0_114,negated_conjecture,
( i3 = i1
| i4 = i3 ),
inference(spm,[status(thm)],[c_0_103,c_0_112]) ).
cnf(c_0_115,negated_conjecture,
( select(a1,i1) != select(a2,i1)
| i3 != i1 ),
inference(spm,[status(thm)],[c_0_19,c_0_113]) ).
cnf(c_0_116,negated_conjecture,
i3 = i1,
inference(spm,[status(thm)],[c_0_111,c_0_114]) ).
cnf(c_0_117,hypothesis,
( select(store(store(a1,i1,select(a2,i1)),i1,select(a1,i1)),i3) = select(store(store(a2,i1,select(a1,i1)),i1,select(a2,i1)),i3)
| i4 = i3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_99]),c_0_99]),c_0_4]),c_0_99]),c_0_99]),c_0_4]) ).
cnf(c_0_118,negated_conjecture,
select(a1,i1) != select(a2,i1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_116])]) ).
cnf(c_0_119,hypothesis,
i4 = i1,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_116]),c_0_4]),c_0_116]),c_0_4]),c_0_116]),c_0_118]) ).
cnf(c_0_120,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_99]),c_0_99]),c_0_4]),c_0_99]),c_0_99]),c_0_4]),c_0_99]),c_0_99]),c_0_4]),c_0_99]),c_0_99]),c_0_4]),c_0_116]),c_0_116]),c_0_4]),c_0_119]),c_0_4]),c_0_116]),c_0_116]),c_0_4]),c_0_119]),c_0_4]),c_0_118]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SWV553-1.004 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.24 % Computer : n012.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Tue May 5 05:33:45 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 1.67/1.78 % Version : CSE_E---1.7
% 1.67/1.78 % Problem : theBenchmark.p
% 1.67/1.78 % SZS status Unsatisfiable for theBenchmark.p
% 1.67/1.78 % SZS output start CNFRefutation
% See solution above
% 1.67/1.78 % Total time : 1.363s
%------------------------------------------------------------------------------